id	sid	tid	token	lemma	pos
ejpam-6042	1	1	european	european	PROPN
ejpam-6042	1	2	journal	journal	PROPN
ejpam-6042	1	3	of	of	ADP
ejpam-6042	1	4	pure	pure	ADJ
ejpam-6042	1	5	and	and	CCONJ
ejpam-6042	1	6	applied	applied	ADJ
ejpam-6042	1	7	mathematics	mathematic	NOUN
ejpam-6042	1	8	2025	2025	NUM
ejpam-6042	1	9	,	,	PUNCT
ejpam-6042	1	10	vol	vol	NOUN
ejpam-6042	1	11	.	.	PROPN
ejpam-6042	1	12	18	18	NUM
ejpam-6042	1	13	,	,	PUNCT
ejpam-6042	1	14	issue	issue	NOUN
ejpam-6042	1	15	4	4	NUM
ejpam-6042	1	16	,	,	PUNCT
ejpam-6042	1	17	article	article	NOUN
ejpam-6042	1	18	number	number	NOUN
ejpam-6042	1	19	6042	6042	NUM
ejpam-6042	1	20	issn	issn	PROPN
ejpam-6042	1	21	1307	1307	NUM
ejpam-6042	1	22	-	-	SYM
ejpam-6042	1	23	5543	5543	NUM
ejpam-6042	1	24	–	–	PUNCT
ejpam-6042	1	25	ejpam.com	ejpam.com	X
ejpam-6042	1	26	published	publish	VERB
ejpam-6042	1	27	by	by	ADP
ejpam-6042	1	28	new	new	PROPN
ejpam-6042	1	29	york	york	PROPN
ejpam-6042	1	30	business	business	PROPN
ejpam-6042	1	31	global	global	PROPN
ejpam-6042	1	32	a	a	DET
ejpam-6042	1	33	novel	novel	ADJ
ejpam-6042	1	34	explicit	explicit	ADJ
ejpam-6042	1	35	two	two	NUM
ejpam-6042	1	36	-	-	PUNCT
ejpam-6042	1	37	derivative	derivative	ADJ
ejpam-6042	1	38	runge	runge	NOUN
ejpam-6042	1	39	-	-	PUNCT
ejpam-6042	1	40	kutta	kutta	NOUN
ejpam-6042	1	41	-	-	PUNCT
ejpam-6042	1	42	nyström	nyström	NOUN
ejpam-6042	1	43	method	method	NOUN
ejpam-6042	1	44	with	with	ADP
ejpam-6042	1	45	energy	energy	NOUN
ejpam-6042	1	46	conservation	conservation	NOUN
ejpam-6042	1	47	for	for	ADP
ejpam-6042	1	48	the	the	DET
ejpam-6042	1	49	integration	integration	NOUN
ejpam-6042	1	50	of	of	ADP
ejpam-6042	1	51	second	second	ADJ
ejpam-6042	1	52	-	-	PUNCT
ejpam-6042	1	53	order	order	NOUN
ejpam-6042	1	54	periodic	periodic	ADJ
ejpam-6042	1	55	odes	ode	NOUN
ejpam-6042	1	56	zhuoyu	zhuoyu	NOUN
ejpam-6042	1	57	sun1,∗	sun1,∗	PROPN
ejpam-6042	1	58	,	,	PUNCT
ejpam-6042	1	59	k.c	k.c	PROPN
ejpam-6042	1	60	.	.	PROPN
ejpam-6042	1	61	lee1,∗	lee1,∗	PROPN
ejpam-6042	1	62	,	,	PUNCT
ejpam-6042	1	63	n.h.a	n.h.a	PROPN
ejpam-6042	1	64	.	.	PUNCT
ejpam-6042	1	65	aziz3	aziz3	PROPN
ejpam-6042	1	66	,	,	PUNCT
ejpam-6042	1	67	i.	i.	NOUN
ejpam-6042	1	68	hashim1	hashim1	PROPN
ejpam-6042	1	69	,	,	PUNCT
ejpam-6042	1	70	m.a	m.a	PROPN
ejpam-6042	1	71	alias1	alias1	PROPN
ejpam-6042	1	72	,	,	PUNCT
ejpam-6042	1	73	n.	n.	NOUN
ejpam-6042	1	74	senu2,4	senu2,4	PROPN
ejpam-6042	1	75	1	1	NUM
ejpam-6042	1	76	department	department	NOUN
ejpam-6042	1	77	of	of	ADP
ejpam-6042	1	78	mathematical	mathematical	ADJ
ejpam-6042	1	79	sciences	sciences	PROPN
ejpam-6042	1	80	,	,	PUNCT
ejpam-6042	1	81	universiti	universiti	PROPN
ejpam-6042	1	82	kebangsaan	kebangsaan	PROPN
ejpam-6042	1	83	malaysia	malaysia	PROPN
ejpam-6042	1	84	,	,	PUNCT
ejpam-6042	1	85	43600	43600	NUM
ejpam-6042	1	86	ukm	ukm	PROPN
ejpam-6042	1	87	bangi	bangi	PROPN
ejpam-6042	1	88	,	,	PUNCT
ejpam-6042	1	89	selangor	selangor	PROPN
ejpam-6042	1	90	,	,	PUNCT
ejpam-6042	1	91	malaysia	malaysia	PROPN
ejpam-6042	1	92	2	2	NUM
ejpam-6042	1	93	institute	institute	NOUN
ejpam-6042	1	94	for	for	ADP
ejpam-6042	1	95	mathematical	mathematical	ADJ
ejpam-6042	1	96	research	research	NOUN
ejpam-6042	1	97	,	,	PUNCT
ejpam-6042	1	98	universiti	universiti	PROPN
ejpam-6042	1	99	putra	putra	PROPN
ejpam-6042	1	100	malaysia	malaysia	PROPN
ejpam-6042	1	101	,	,	PUNCT
ejpam-6042	1	102	43400	43400	NUM
ejpam-6042	1	103	upm	upm	PROPN
ejpam-6042	1	104	,	,	PUNCT
ejpam-6042	1	105	serdang	serdang	PROPN
ejpam-6042	1	106	,	,	PUNCT
ejpam-6042	1	107	malaysia	malaysia	PROPN
ejpam-6042	1	108	3	3	NUM
ejpam-6042	1	109	department	department	NOUN
ejpam-6042	1	110	of	of	ADP
ejpam-6042	1	111	mathematical	mathematical	ADJ
ejpam-6042	1	112	sciences	science	NOUN
ejpam-6042	1	113	,	,	PUNCT
ejpam-6042	1	114	faculty	faculty	NOUN
ejpam-6042	1	115	of	of	ADP
ejpam-6042	1	116	intelligent	intelligent	ADJ
ejpam-6042	1	117	computing	computing	NOUN
ejpam-6042	1	118	,	,	PUNCT
ejpam-6042	1	119	universiti	universiti	PROPN
ejpam-6042	1	120	malaysia	malaysia	PROPN
ejpam-6042	1	121	perlis	perlis	PROPN
ejpam-6042	1	122	(	(	PUNCT
ejpam-6042	1	123	unimap	unimap	NOUN
ejpam-6042	1	124	)	)	PUNCT
ejpam-6042	1	125	,	,	PUNCT
ejpam-6042	1	126	kampus	kampus	PROPN
ejpam-6042	1	127	alam	alam	PROPN
ejpam-6042	1	128	unimap	unimap	PROPN
ejpam-6042	1	129	pauh	pauh	PROPN
ejpam-6042	1	130	putra	putra	PROPN
ejpam-6042	1	131	,	,	PUNCT
ejpam-6042	1	132	02600	02600	NUM
ejpam-6042	1	133	arau	arau	NOUN
ejpam-6042	1	134	,	,	PUNCT
ejpam-6042	1	135	perlis	perlis	PROPN
ejpam-6042	1	136	,	,	PUNCT
ejpam-6042	1	137	malaysia	malaysia	PROPN
ejpam-6042	1	138	4	4	NUM
ejpam-6042	1	139	department	department	NOUN
ejpam-6042	1	140	of	of	ADP
ejpam-6042	1	141	mathematics	mathematic	NOUN
ejpam-6042	1	142	and	and	CCONJ
ejpam-6042	1	143	statistics	statistic	NOUN
ejpam-6042	1	144	,	,	PUNCT
ejpam-6042	1	145	universiti	universiti	PROPN
ejpam-6042	1	146	putra	putra	PROPN
ejpam-6042	1	147	malaysia	malaysia	PROPN
ejpam-6042	1	148	,	,	PUNCT
ejpam-6042	1	149	43400	43400	NUM
ejpam-6042	1	150	upm	upm	PROPN
ejpam-6042	1	151	,	,	PUNCT
ejpam-6042	1	152	serdang	serdang	PROPN
ejpam-6042	1	153	,	,	PUNCT
ejpam-6042	1	154	malaysia	malaysia	PROPN
ejpam-6042	1	155	abstract	abstract	NOUN
ejpam-6042	1	156	.	.	PUNCT
ejpam-6042	2	1	a	a	DET
ejpam-6042	2	2	novel	novel	NOUN
ejpam-6042	2	3	trigonometrically	trigonometrically	ADV
ejpam-6042	2	4	-	-	PUNCT
ejpam-6042	2	5	fitted	fit	VERB
ejpam-6042	2	6	explicit	explicit	ADJ
ejpam-6042	2	7	two	two	NUM
ejpam-6042	2	8	-	-	PUNCT
ejpam-6042	2	9	derivative	derivative	ADJ
ejpam-6042	2	10	runge	runge	NOUN
ejpam-6042	2	11	-	-	PUNCT
ejpam-6042	2	12	kutta	kutta	NOUN
ejpam-6042	2	13	-	-	PUNCT
ejpam-6042	2	14	nyström	nyström	NOUN
ejpam-6042	2	15	(	(	PUNCT
ejpam-6042	2	16	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	2	17	)	)	PUNCT
ejpam-6042	2	18	)	)	PUNCT
ejpam-6042	2	19	method	method	NOUN
ejpam-6042	2	20	with	with	ADP
ejpam-6042	2	21	three	three	NUM
ejpam-6042	2	22	-	-	PUNCT
ejpam-6042	2	23	stage	stage	NOUN
ejpam-6042	2	24	and	and	CCONJ
ejpam-6042	2	25	fifth	fifth	ADJ
ejpam-6042	2	26	-	-	PUNCT
ejpam-6042	2	27	order	order	NOUN
ejpam-6042	2	28	for	for	ADP
ejpam-6042	2	29	solving	solve	VERB
ejpam-6042	2	30	a	a	DET
ejpam-6042	2	31	class	class	NOUN
ejpam-6042	2	32	of	of	ADP
ejpam-6042	2	33	special	special	ADJ
ejpam-6042	2	34	second	second	ADJ
ejpam-6042	2	35	-	-	PUNCT
ejpam-6042	2	36	order	order	NOUN
ejpam-6042	2	37	(	(	PUNCT
ejpam-6042	2	38	system	system	NOUN
ejpam-6042	2	39	)	)	PUNCT
ejpam-6042	2	40	odes	ode	VERB
ejpam-6042	2	41	in	in	ADP
ejpam-6042	2	42	the	the	DET
ejpam-6042	2	43	form	form	NOUN
ejpam-6042	2	44	of	of	ADP
ejpam-6042	2	45	u′′	u′′	PROPN
ejpam-6042	2	46	=	=	SYM
ejpam-6042	2	47	f	f	PROPN
ejpam-6042	2	48	(	(	PUNCT
ejpam-6042	2	49	t	t	PROPN
ejpam-6042	2	50	,	,	PUNCT
ejpam-6042	2	51	u	u	NOUN
ejpam-6042	2	52	)	)	PUNCT
ejpam-6042	2	53	with	with	SCONJ
ejpam-6042	2	54	periodic	periodic	ADJ
ejpam-6042	2	55	solutions	solution	NOUN
ejpam-6042	2	56	is	be	AUX
ejpam-6042	2	57	proposed	propose	VERB
ejpam-6042	2	58	.	.	PUNCT
ejpam-6042	3	1	order	order	NOUN
ejpam-6042	3	2	conditions	condition	NOUN
ejpam-6042	3	3	of	of	ADP
ejpam-6042	3	4	the	the	DET
ejpam-6042	3	5	new	new	ADJ
ejpam-6042	3	6	explicit	explicit	ADJ
ejpam-6042	3	7	two	two	NUM
ejpam-6042	3	8	-	-	PUNCT
ejpam-6042	3	9	derivative	derivative	ADJ
ejpam-6042	3	10	runge	runge	NOUN
ejpam-6042	3	11	-	-	PUNCT
ejpam-6042	3	12	kutta	kutta	NOUN
ejpam-6042	3	13	-	-	PUNCT
ejpam-6042	3	14	nyström	nyström	NOUN
ejpam-6042	3	15	(	(	PUNCT
ejpam-6042	3	16	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	3	17	)	)	PUNCT
ejpam-6042	3	18	)	)	PUNCT
ejpam-6042	3	19	method	method	NOUN
ejpam-6042	3	20	are	be	AUX
ejpam-6042	3	21	derived	derive	VERB
ejpam-6042	3	22	using	use	VERB
ejpam-6042	3	23	taylor	taylor	PROPN
ejpam-6042	3	24	expansion	expansion	NOUN
ejpam-6042	3	25	and	and	CCONJ
ejpam-6042	3	26	comparison	comparison	NOUN
ejpam-6042	3	27	of	of	ADP
ejpam-6042	3	28	step	step	NOUN
ejpam-6042	3	29	size	size	NOUN
ejpam-6042	3	30	,	,	PUNCT
ejpam-6042	3	31	h	h	NOUN
ejpam-6042	3	32	over	over	ADP
ejpam-6042	3	33	taylor	taylor	PROPN
ejpam-6042	3	34	method	method	NOUN
ejpam-6042	3	35	and	and	CCONJ
ejpam-6042	3	36	general	general	ADJ
ejpam-6042	3	37	formula	formula	NOUN
ejpam-6042	3	38	of	of	ADP
ejpam-6042	3	39	the	the	DET
ejpam-6042	3	40	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	3	41	)	)	PUNCT
ejpam-6042	3	42	method	method	NOUN
ejpam-6042	3	43	.	.	PUNCT
ejpam-6042	4	1	trigonometrically	trigonometrically	ADV
ejpam-6042	4	2	-	-	PUNCT
ejpam-6042	4	3	fitting	fit	VERB
ejpam-6042	4	4	technique	technique	NOUN
ejpam-6042	4	5	is	be	AUX
ejpam-6042	4	6	implemented	implement	VERB
ejpam-6042	4	7	into	into	ADP
ejpam-6042	4	8	the	the	DET
ejpam-6042	4	9	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	4	10	)	)	PUNCT
ejpam-6042	4	11	method	method	NOUN
ejpam-6042	4	12	to	to	PART
ejpam-6042	4	13	form	form	VERB
ejpam-6042	4	14	the	the	DET
ejpam-6042	4	15	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	4	16	)	)	PUNCT
ejpam-6042	4	17	method	method	NOUN
ejpam-6042	4	18	.	.	PUNCT
ejpam-6042	5	1	stability	stability	NOUN
ejpam-6042	5	2	analysis	analysis	NOUN
ejpam-6042	5	3	of	of	ADP
ejpam-6042	5	4	the	the	DET
ejpam-6042	5	5	new	new	ADJ
ejpam-6042	5	6	proposed	propose	VERB
ejpam-6042	5	7	method	method	NOUN
ejpam-6042	5	8	is	be	AUX
ejpam-6042	5	9	thoroughly	thoroughly	ADV
ejpam-6042	5	10	investigated	investigate	VERB
ejpam-6042	5	11	and	and	CCONJ
ejpam-6042	5	12	discussed	discuss	VERB
ejpam-6042	5	13	.	.	PUNCT
ejpam-6042	6	1	algebraic	algebraic	ADJ
ejpam-6042	6	2	order	order	NOUN
ejpam-6042	6	3	of	of	ADP
ejpam-6042	6	4	the	the	DET
ejpam-6042	6	5	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	6	6	)	)	PUNCT
ejpam-6042	6	7	method	method	NOUN
ejpam-6042	6	8	is	be	AUX
ejpam-6042	6	9	investigated	investigate	VERB
ejpam-6042	6	10	.	.	PUNCT
ejpam-6042	7	1	numerical	numerical	ADJ
ejpam-6042	7	2	experiments	experiment	NOUN
ejpam-6042	7	3	for	for	ADP
ejpam-6042	7	4	the	the	DET
ejpam-6042	7	5	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	7	6	)	)	PUNCT
ejpam-6042	7	7	method	method	NOUN
ejpam-6042	7	8	are	be	AUX
ejpam-6042	7	9	conducted	conduct	VERB
ejpam-6042	7	10	versus	versus	ADP
ejpam-6042	7	11	error	error	NOUN
ejpam-6042	7	12	accuracy	accuracy	NOUN
ejpam-6042	7	13	,	,	PUNCT
ejpam-6042	7	14	number	number	NOUN
ejpam-6042	7	15	of	of	ADP
ejpam-6042	7	16	function	function	NOUN
ejpam-6042	7	17	evaluations	evaluation	NOUN
ejpam-6042	7	18	and	and	CCONJ
ejpam-6042	7	19	computational	computational	ADJ
ejpam-6042	7	20	time	time	NOUN
ejpam-6042	7	21	.	.	PUNCT
ejpam-6042	8	1	numerical	numerical	ADJ
ejpam-6042	8	2	tables	table	NOUN
ejpam-6042	8	3	and	and	CCONJ
ejpam-6042	8	4	graphs	graph	NOUN
ejpam-6042	8	5	demonstrate	demonstrate	VERB
ejpam-6042	8	6	that	that	SCONJ
ejpam-6042	8	7	the	the	DET
ejpam-6042	8	8	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	8	9	)	)	PUNCT
ejpam-6042	8	10	method	method	NOUN
ejpam-6042	8	11	has	have	VERB
ejpam-6042	8	12	higher	high	ADJ
ejpam-6042	8	13	effectiveness	effectiveness	NOUN
ejpam-6042	8	14	and	and	CCONJ
ejpam-6042	8	15	accuracy	accuracy	NOUN
ejpam-6042	8	16	compared	compare	VERB
ejpam-6042	8	17	to	to	ADP
ejpam-6042	8	18	selected	select	VERB
ejpam-6042	8	19	existing	exist	VERB
ejpam-6042	8	20	methods	method	NOUN
ejpam-6042	8	21	.	.	PUNCT
ejpam-6042	9	1	further	further	ADJ
ejpam-6042	9	2	study	study	NOUN
ejpam-6042	9	3	for	for	ADP
ejpam-6042	9	4	one	one	NUM
ejpam-6042	9	5	typical	typical	ADJ
ejpam-6042	9	6	real	real	ADJ
ejpam-6042	9	7	-	-	PUNCT
ejpam-6042	9	8	word	word	NOUN
ejpam-6042	9	9	experiment	experiment	NOUN
ejpam-6042	9	10	is	be	AUX
ejpam-6042	9	11	conducted	conduct	VERB
ejpam-6042	9	12	.	.	PUNCT
ejpam-6042	10	1	besides	besides	SCONJ
ejpam-6042	10	2	,	,	PUNCT
ejpam-6042	10	3	hamiltonian	hamiltonian	ADJ
ejpam-6042	10	4	energy	energy	NOUN
ejpam-6042	10	5	,	,	PUNCT
ejpam-6042	10	6	lagrangian	lagrangian	ADJ
ejpam-6042	10	7	energy	energy	NOUN
ejpam-6042	10	8	and	and	CCONJ
ejpam-6042	10	9	momentum	momentum	NOUN
ejpam-6042	10	10	conservation	conservation	NOUN
ejpam-6042	10	11	of	of	ADP
ejpam-6042	10	12	proposed	propose	VERB
ejpam-6042	10	13	method	method	NOUN
ejpam-6042	10	14	are	be	AUX
ejpam-6042	10	15	investigated	investigate	VERB
ejpam-6042	10	16	to	to	PART
ejpam-6042	10	17	outlook	outlook	VERB
ejpam-6042	10	18	the	the	DET
ejpam-6042	10	19	energy	energy	NOUN
ejpam-6042	10	20	conservation	conservation	NOUN
ejpam-6042	10	21	property	property	NOUN
ejpam-6042	10	22	.	.	PUNCT
ejpam-6042	11	1	the	the	DET
ejpam-6042	11	2	related	relate	VERB
ejpam-6042	11	3	energy	energy	NOUN
ejpam-6042	11	4	exchange	exchange	NOUN
ejpam-6042	11	5	of	of	ADP
ejpam-6042	11	6	the	the	DET
ejpam-6042	11	7	above	above	ADJ
ejpam-6042	11	8	three	three	NUM
ejpam-6042	11	9	energies	energy	NOUN
ejpam-6042	11	10	during	during	ADP
ejpam-6042	11	11	the	the	DET
ejpam-6042	11	12	tested	test	VERB
ejpam-6042	11	13	real	real	ADJ
ejpam-6042	11	14	-	-	PUNCT
ejpam-6042	11	15	world	world	NOUN
ejpam-6042	11	16	experiment	experiment	NOUN
ejpam-6042	11	17	is	be	AUX
ejpam-6042	11	18	illustrated	illustrate	VERB
ejpam-6042	11	19	.	.	PUNCT
ejpam-6042	12	1	2020	2020	NUM
ejpam-6042	12	2	mathematics	mathematics	PROPN
ejpam-6042	12	3	subject	subject	NOUN
ejpam-6042	12	4	classifications	classification	NOUN
ejpam-6042	12	5	:	:	PUNCT
ejpam-6042	12	6	65l05	65l05	NUM
ejpam-6042	12	7	,	,	PUNCT
ejpam-6042	12	8	65l06	65l06	NUM
ejpam-6042	12	9	,	,	PUNCT
ejpam-6042	12	10	65l20	65l20	NUM
ejpam-6042	12	11	,	,	PUNCT
ejpam-6042	12	12	70h12	70h12	NUM
ejpam-6042	12	13	key	key	ADJ
ejpam-6042	12	14	words	word	NOUN
ejpam-6042	12	15	and	and	CCONJ
ejpam-6042	12	16	phrases	phrase	NOUN
ejpam-6042	12	17	:	:	PUNCT
ejpam-6042	12	18	second	second	ADJ
ejpam-6042	12	19	-	-	PUNCT
ejpam-6042	12	20	order	order	NOUN
ejpam-6042	12	21	ordinary	ordinary	ADJ
ejpam-6042	12	22	differential	differential	ADJ
ejpam-6042	12	23	equations	equation	NOUN
ejpam-6042	12	24	,	,	PUNCT
ejpam-6042	12	25	trigonometrical	trigonometrical	ADJ
ejpam-6042	12	26	integration	integration	NOUN
ejpam-6042	12	27	,	,	PUNCT
ejpam-6042	12	28	explicit	explicit	ADJ
ejpam-6042	12	29	two	two	NUM
ejpam-6042	12	30	-	-	PUNCT
ejpam-6042	12	31	derivative	derivative	ADJ
ejpam-6042	12	32	runge	runge	NOUN
ejpam-6042	12	33	-	-	PUNCT
ejpam-6042	12	34	kutta	kutta	NOUN
ejpam-6042	12	35	-	-	PUNCT
ejpam-6042	12	36	nyström	nyström	NOUN
ejpam-6042	12	37	method	method	NOUN
ejpam-6042	12	38	,	,	PUNCT
ejpam-6042	12	39	stability	stability	NOUN
ejpam-6042	12	40	analysis	analysis	NOUN
ejpam-6042	12	41	,	,	PUNCT
ejpam-6042	12	42	algebraic	algebraic	ADJ
ejpam-6042	12	43	order	order	NOUN
ejpam-6042	12	44	analysis	analysis	NOUN
ejpam-6042	12	45	,	,	PUNCT
ejpam-6042	12	46	energy	energy	NOUN
ejpam-6042	12	47	conservation	conservation	NOUN
ejpam-6042	12	48	∗corresponding	∗corresponde	VERB
ejpam-6042	12	49	author	author	NOUN
ejpam-6042	12	50	.	.	PUNCT
ejpam-6042	13	1	∗corresponding	∗corresponde	VERB
ejpam-6042	13	2	author	author	NOUN
ejpam-6042	13	3	.	.	PUNCT
ejpam-6042	14	1	doi	doi	NOUN
ejpam-6042	14	2	:	:	PUNCT
ejpam-6042	14	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6042	https://doi.org/10.29020/nybg.ejpam.v18i4.6042	ADP
ejpam-6042	14	4	email	email	NOUN
ejpam-6042	14	5	addresses	address	NOUN
ejpam-6042	14	6	:	:	PUNCT
ejpam-6042	14	7	a2408527882@163.com	a2408527882@163.com	X
ejpam-6042	14	8	(	(	PUNCT
ejpam-6042	14	9	z.	z.	PROPN
ejpam-6042	14	10	sun	sun	PROPN
ejpam-6042	14	11	)	)	PUNCT
ejpam-6042	14	12	,	,	PUNCT
ejpam-6042	14	13	kclee	kclee	PROPN
ejpam-6042	14	14	1017@ukm.edu.my	1017@ukm.edu.my	PROPN
ejpam-6042	14	15	(	(	PUNCT
ejpam-6042	14	16	k.	k.	PROPN
ejpam-6042	14	17	c.	c.	PROPN
ejpam-6042	14	18	lee	lee	PROPN
ejpam-6042	14	19	)	)	PUNCT
ejpam-6042	14	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6042	15	1	1	1	NUM
ejpam-6042	15	2	copyright	copyright	NOUN
ejpam-6042	15	3	:	:	PUNCT
ejpam-6042	15	4	©	©	PROPN
ejpam-6042	15	5	2025	2025	NUM
ejpam-6042	15	6	the	the	DET
ejpam-6042	15	7	author(s	author(s	NOUN
ejpam-6042	15	8	)	)	PUNCT
ejpam-6042	15	9	.	.	PUNCT
ejpam-6042	16	1	(	(	PUNCT
ejpam-6042	16	2	cc	cc	NOUN
ejpam-6042	16	3	by	by	ADP
ejpam-6042	16	4	-	-	PUNCT
ejpam-6042	16	5	nc	nc	PROPN
ejpam-6042	16	6	4.0	4.0	NUM
ejpam-6042	16	7	)	)	PUNCT
ejpam-6042	16	8	z.	z.	PROPN
ejpam-6042	16	9	sun	sun	PROPN
ejpam-6042	16	10	et	et	PROPN
ejpam-6042	16	11	al	al	PROPN
ejpam-6042	16	12	.	.	PUNCT
ejpam-6042	16	13	/	/	SYM
ejpam-6042	16	14	eur	eur	PROPN
ejpam-6042	16	15	.	.	PUNCT
ejpam-6042	17	1	j.	j.	PROPN
ejpam-6042	17	2	pure	pure	PROPN
ejpam-6042	17	3	appl	appl	PROPN
ejpam-6042	17	4	.	.	PROPN
ejpam-6042	17	5	math	math	PROPN
ejpam-6042	17	6	,	,	PUNCT
ejpam-6042	17	7	18	18	NUM
ejpam-6042	17	8	(	(	PUNCT
ejpam-6042	17	9	4	4	NUM
ejpam-6042	17	10	)	)	PUNCT
ejpam-6042	17	11	(	(	PUNCT
ejpam-6042	17	12	2025	2025	NUM
ejpam-6042	17	13	)	)	PUNCT
ejpam-6042	17	14	,	,	PUNCT
ejpam-6042	17	15	6042	6042	NUM
ejpam-6042	17	16	2	2	NUM
ejpam-6042	17	17	of	of	ADP
ejpam-6042	17	18	45	45	NUM
ejpam-6042	17	19	1	1	NUM
ejpam-6042	17	20	.	.	PUNCT
ejpam-6042	18	1	introduction	introduction	NOUN
ejpam-6042	18	2	in	in	ADP
ejpam-6042	18	3	this	this	DET
ejpam-6042	18	4	study	study	NOUN
ejpam-6042	18	5	,	,	PUNCT
ejpam-6042	18	6	we	we	PRON
ejpam-6042	18	7	consider	consider	VERB
ejpam-6042	18	8	the	the	DET
ejpam-6042	18	9	special	special	ADJ
ejpam-6042	18	10	second	second	ADJ
ejpam-6042	18	11	-	-	PUNCT
ejpam-6042	18	12	order	order	NOUN
ejpam-6042	18	13	ordinary	ordinary	ADJ
ejpam-6042	18	14	differential	differential	ADJ
ejpam-6042	18	15	equations	equation	NOUN
ejpam-6042	18	16	(	(	PUNCT
ejpam-6042	18	17	odes	ode	NOUN
ejpam-6042	18	18	)	)	PUNCT
ejpam-6042	18	19	u′′	u′′	PROPN
ejpam-6042	18	20	(	(	PUNCT
ejpam-6042	18	21	t	t	PROPN
ejpam-6042	18	22	)	)	PUNCT
ejpam-6042	19	1	=	=	SYM
ejpam-6042	19	2	f	f	PROPN
ejpam-6042	19	3	(	(	PUNCT
ejpam-6042	19	4	t	t	PROPN
ejpam-6042	19	5	,	,	PUNCT
ejpam-6042	19	6	u	u	PROPN
ejpam-6042	19	7	(	(	PUNCT
ejpam-6042	19	8	t	t	PROPN
ejpam-6042	19	9	)	)	PUNCT
ejpam-6042	19	10	)	)	PUNCT
ejpam-6042	19	11	,	,	PUNCT
ejpam-6042	19	12	u	u	PROPN
ejpam-6042	19	13	(	(	PUNCT
ejpam-6042	19	14	t0	t0	NOUN
ejpam-6042	19	15	)	)	PUNCT
ejpam-6042	19	16	=	=	PUNCT
ejpam-6042	20	1	u0	u0	ADJ
ejpam-6042	20	2	,	,	PUNCT
ejpam-6042	20	3	u	u	NOUN
ejpam-6042	20	4	′	′	NUM
ejpam-6042	20	5	(	(	PUNCT
ejpam-6042	20	6	t0	t0	NOUN
ejpam-6042	20	7	)	)	PUNCT
ejpam-6042	20	8	=	=	SYM
ejpam-6042	21	1	u′0	u′0	INTJ
ejpam-6042	21	2	,	,	PUNCT
ejpam-6042	21	3	u	u	NOUN
ejpam-6042	21	4	:	:	PUNCT
ejpam-6042	21	5	r	r	NOUN
ejpam-6042	21	6	→	→	SYM
ejpam-6042	21	7	rk	rk	PROPN
ejpam-6042	21	8	,	,	PUNCT
ejpam-6042	21	9	f	f	X
ejpam-6042	21	10	:	:	PUNCT
ejpam-6042	21	11	r×	r×	VERB
ejpam-6042	21	12	rk	rk	INTJ
ejpam-6042	21	13	→	→	SYM
ejpam-6042	21	14	rk	rk	PROPN
ejpam-6042	21	15	,	,	PUNCT
ejpam-6042	21	16	t	t	PROPN
ejpam-6042	21	17	∈	∈	PROPN
ejpam-6042	22	1	[	[	X
ejpam-6042	22	2	t0	t0	NOUN
ejpam-6042	22	3	,	,	PUNCT
ejpam-6042	22	4	tend	tend	VERB
ejpam-6042	22	5	]	]	PUNCT
ejpam-6042	22	6	.	.	PUNCT
ejpam-6042	23	1	(	(	PUNCT
ejpam-6042	23	2	1	1	X
ejpam-6042	23	3	)	)	PUNCT
ejpam-6042	23	4	second	second	ADJ
ejpam-6042	23	5	-	-	PUNCT
ejpam-6042	23	6	order	order	NOUN
ejpam-6042	23	7	odes	ode	VERB
ejpam-6042	23	8	with	with	ADP
ejpam-6042	23	9	periodic	periodic	ADJ
ejpam-6042	23	10	solutions	solution	NOUN
ejpam-6042	23	11	are	be	AUX
ejpam-6042	23	12	common	common	ADJ
ejpam-6042	23	13	in	in	ADP
ejpam-6042	23	14	many	many	ADJ
ejpam-6042	23	15	scientific	scientific	ADJ
ejpam-6042	23	16	and	and	CCONJ
ejpam-6042	23	17	engineering	engineering	NOUN
ejpam-6042	23	18	fields	field	NOUN
ejpam-6042	23	19	,	,	PUNCT
ejpam-6042	23	20	modeling	model	VERB
ejpam-6042	23	21	systems	system	NOUN
ejpam-6042	23	22	with	with	ADP
ejpam-6042	23	23	inherent	inherent	ADJ
ejpam-6042	23	24	periodic	periodic	ADJ
ejpam-6042	23	25	behavior	behavior	NOUN
ejpam-6042	23	26	.	.	PUNCT
ejpam-6042	24	1	these	these	DET
ejpam-6042	24	2	equations	equation	NOUN
ejpam-6042	24	3	are	be	AUX
ejpam-6042	24	4	used	use	VERB
ejpam-6042	24	5	in	in	ADP
ejpam-6042	24	6	applications	application	NOUN
ejpam-6042	24	7	such	such	ADJ
ejpam-6042	24	8	as	as	ADP
ejpam-6042	24	9	mechanical	mechanical	ADJ
ejpam-6042	24	10	oscillators	oscillator	NOUN
ejpam-6042	24	11	,	,	PUNCT
ejpam-6042	24	12	electrical	electrical	ADJ
ejpam-6042	24	13	circuits	circuit	NOUN
ejpam-6042	24	14	with	with	ADP
ejpam-6042	24	15	inductors	inductor	NOUN
ejpam-6042	24	16	and	and	CCONJ
ejpam-6042	24	17	capacitors	capacitor	NOUN
ejpam-6042	24	18	,	,	PUNCT
ejpam-6042	24	19	and	and	CCONJ
ejpam-6042	24	20	molecular	molecular	ADJ
ejpam-6042	24	21	vibrations	vibration	NOUN
ejpam-6042	24	22	,	,	PUNCT
ejpam-6042	24	23	capturing	capture	VERB
ejpam-6042	24	24	the	the	DET
ejpam-6042	24	25	essential	essential	ADJ
ejpam-6042	24	26	dynamics	dynamic	NOUN
ejpam-6042	24	27	of	of	ADP
ejpam-6042	24	28	systems	system	NOUN
ejpam-6042	24	29	that	that	PRON
ejpam-6042	24	30	exhibit	exhibit	VERB
ejpam-6042	24	31	regular	regular	ADJ
ejpam-6042	24	32	oscillations	oscillation	NOUN
ejpam-6042	24	33	(	(	PUNCT
ejpam-6042	24	34	see	see	VERB
ejpam-6042	24	35	[	[	X
ejpam-6042	24	36	1],[2	1],[2	NOUN
ejpam-6042	24	37	]	]	PUNCT
ejpam-6042	24	38	and	and	CCONJ
ejpam-6042	24	39	so	so	ADV
ejpam-6042	24	40	on	on	ADV
ejpam-6042	24	41	)	)	PUNCT
ejpam-6042	24	42	.	.	PUNCT
ejpam-6042	25	1	in	in	ADP
ejpam-6042	25	2	the	the	DET
ejpam-6042	25	3	beginning	beginning	NOUN
ejpam-6042	25	4	,	,	PUNCT
ejpam-6042	25	5	runge	runge	NOUN
ejpam-6042	25	6	-	-	PUNCT
ejpam-6042	25	7	kutta	kutta	NOUN
ejpam-6042	25	8	(	(	PUNCT
ejpam-6042	25	9	rk	rk	NOUN
ejpam-6042	25	10	)	)	PUNCT
ejpam-6042	25	11	methods	method	NOUN
ejpam-6042	25	12	were	be	AUX
ejpam-6042	25	13	designed	design	VERB
ejpam-6042	25	14	to	to	PART
ejpam-6042	25	15	solve	solve	VERB
ejpam-6042	25	16	the	the	DET
ejpam-6042	25	17	first	first	ADJ
ejpam-6042	25	18	-	-	PUNCT
ejpam-6042	25	19	order	order	NOUN
ejpam-6042	25	20	odes	ode	VERB
ejpam-6042	25	21	[	[	X
ejpam-6042	25	22	3	3	NUM
ejpam-6042	25	23	,	,	PUNCT
ejpam-6042	25	24	4	4	NUM
ejpam-6042	25	25	]	]	PUNCT
ejpam-6042	25	26	.	.	PUNCT
ejpam-6042	26	1	with	with	ADP
ejpam-6042	26	2	the	the	DET
ejpam-6042	26	3	development	development	NOUN
ejpam-6042	26	4	,	,	PUNCT
ejpam-6042	26	5	nyström	nyström	CCONJ
ejpam-6042	27	1	[	[	X
ejpam-6042	27	2	5	5	NUM
ejpam-6042	27	3	]	]	PUNCT
ejpam-6042	27	4	extended	extend	VERB
ejpam-6042	27	5	rk	rk	NOUN
ejpam-6042	27	6	methods	method	NOUN
ejpam-6042	27	7	to	to	ADP
ejpam-6042	27	8	second	second	ADJ
ejpam-6042	27	9	-	-	PUNCT
ejpam-6042	27	10	order	order	NOUN
ejpam-6042	27	11	odes	ode	NOUN
ejpam-6042	27	12	,	,	PUNCT
ejpam-6042	27	13	now	now	ADV
ejpam-6042	27	14	known	know	VERB
ejpam-6042	27	15	as	as	ADP
ejpam-6042	27	16	runge	runge	NOUN
ejpam-6042	27	17	-	-	PUNCT
ejpam-6042	27	18	kutta	kutta	NOUN
ejpam-6042	27	19	-	-	PUNCT
ejpam-6042	27	20	nyström	nyström	NOUN
ejpam-6042	27	21	(	(	PUNCT
ejpam-6042	27	22	rkn	rkn	NOUN
ejpam-6042	27	23	)	)	PUNCT
ejpam-6042	27	24	methods	method	NOUN
ejpam-6042	27	25	,	,	PUNCT
ejpam-6042	27	26	building	build	VERB
ejpam-6042	27	27	upon	upon	SCONJ
ejpam-6042	27	28	the	the	DET
ejpam-6042	27	29	original	original	ADJ
ejpam-6042	27	30	ideas	idea	NOUN
ejpam-6042	27	31	of	of	ADP
ejpam-6042	27	32	his	his	PRON
ejpam-6042	27	33	predecessors	predecessor	NOUN
ejpam-6042	27	34	.	.	PUNCT
ejpam-6042	28	1	compared	compare	VERB
ejpam-6042	28	2	with	with	ADP
ejpam-6042	28	3	the	the	DET
ejpam-6042	28	4	general	general	ADJ
ejpam-6042	28	5	rk	rk	NOUN
ejpam-6042	28	6	methods	method	NOUN
ejpam-6042	28	7	solving	solve	VERB
ejpam-6042	28	8	first	first	ADJ
ejpam-6042	28	9	order	order	NOUN
ejpam-6042	28	10	odes	ode	NOUN
ejpam-6042	28	11	,	,	PUNCT
ejpam-6042	28	12	rkn	rkn	ADJ
ejpam-6042	28	13	methods	method	NOUN
ejpam-6042	28	14	are	be	AUX
ejpam-6042	28	15	designed	design	VERB
ejpam-6042	28	16	specifically	specifically	ADV
ejpam-6042	28	17	for	for	ADP
ejpam-6042	28	18	second	second	ADJ
ejpam-6042	28	19	-	-	PUNCT
ejpam-6042	28	20	order	order	NOUN
ejpam-6042	28	21	odes	ode	NOUN
ejpam-6042	28	22	,	,	PUNCT
ejpam-6042	28	23	which	which	PRON
ejpam-6042	28	24	makes	make	VERB
ejpam-6042	28	25	them	they	PRON
ejpam-6042	28	26	more	more	ADV
ejpam-6042	28	27	efficient	efficient	ADJ
ejpam-6042	28	28	and	and	CCONJ
ejpam-6042	28	29	accurate	accurate	ADJ
ejpam-6042	28	30	for	for	ADP
ejpam-6042	28	31	such	such	ADJ
ejpam-6042	28	32	types	type	NOUN
ejpam-6042	28	33	of	of	ADP
ejpam-6042	28	34	problems	problem	NOUN
ejpam-6042	28	35	.	.	PUNCT
ejpam-6042	29	1	they	they	PRON
ejpam-6042	29	2	use	use	VERB
ejpam-6042	29	3	both	both	CCONJ
ejpam-6042	29	4	the	the	DET
ejpam-6042	29	5	first	first	ADJ
ejpam-6042	29	6	and	and	CCONJ
ejpam-6042	29	7	second	second	ADJ
ejpam-6042	29	8	derivatives	derivative	NOUN
ejpam-6042	29	9	of	of	ADP
ejpam-6042	29	10	the	the	DET
ejpam-6042	29	11	solution	solution	NOUN
ejpam-6042	29	12	,	,	PUNCT
ejpam-6042	29	13	which	which	PRON
ejpam-6042	29	14	helps	help	VERB
ejpam-6042	29	15	to	to	PART
ejpam-6042	29	16	achieve	achieve	VERB
ejpam-6042	29	17	higher	high	ADJ
ejpam-6042	29	18	accuracy	accuracy	NOUN
ejpam-6042	29	19	.	.	PUNCT
ejpam-6042	30	1	however	however	ADV
ejpam-6042	30	2	,	,	PUNCT
ejpam-6042	30	3	many	many	ADJ
ejpam-6042	30	4	standard	standard	ADJ
ejpam-6042	30	5	rkn	rkn	NOUN
ejpam-6042	30	6	methods	method	NOUN
ejpam-6042	30	7	do	do	AUX
ejpam-6042	30	8	not	not	PART
ejpam-6042	30	9	account	account	VERB
ejpam-6042	30	10	for	for	ADP
ejpam-6042	30	11	the	the	DET
ejpam-6042	30	12	property	property	NOUN
ejpam-6042	30	13	of	of	ADP
ejpam-6042	30	14	periodic	periodic	ADJ
ejpam-6042	30	15	solutions	solution	NOUN
ejpam-6042	30	16	,	,	PUNCT
ejpam-6042	30	17	often	often	ADV
ejpam-6042	30	18	leading	lead	VERB
ejpam-6042	30	19	to	to	ADP
ejpam-6042	30	20	unsatisfactory	unsatisfactory	ADJ
ejpam-6042	30	21	numerical	numerical	ADJ
ejpam-6042	30	22	results	result	NOUN
ejpam-6042	30	23	.	.	PUNCT
ejpam-6042	31	1	to	to	PART
ejpam-6042	31	2	address	address	VERB
ejpam-6042	31	3	this	this	PRON
ejpam-6042	31	4	,	,	PUNCT
ejpam-6042	31	5	many	many	ADJ
ejpam-6042	31	6	researchers	researcher	NOUN
ejpam-6042	31	7	have	have	AUX
ejpam-6042	31	8	attempted	attempt	VERB
ejpam-6042	31	9	to	to	PART
ejpam-6042	31	10	modify	modify	VERB
ejpam-6042	31	11	rkn	rkn	NOUN
ejpam-6042	31	12	methods	method	NOUN
ejpam-6042	31	13	by	by	ADP
ejpam-6042	31	14	incorporating	incorporate	VERB
ejpam-6042	31	15	trigonometrically	trigonometrically	ADV
ejpam-6042	31	16	fitting	fitting	ADJ
ejpam-6042	31	17	techniques	technique	NOUN
ejpam-6042	31	18	.	.	PUNCT
ejpam-6042	32	1	among	among	ADP
ejpam-6042	32	2	these	these	DET
ejpam-6042	32	3	efforts	effort	NOUN
ejpam-6042	32	4	,	,	PUNCT
ejpam-6042	32	5	some	some	PRON
ejpam-6042	32	6	have	have	AUX
ejpam-6042	32	7	proven	prove	VERB
ejpam-6042	32	8	highly	highly	ADV
ejpam-6042	32	9	successful	successful	ADJ
ejpam-6042	32	10	.	.	PUNCT
ejpam-6042	33	1	the	the	DET
ejpam-6042	33	2	main	main	ADJ
ejpam-6042	33	3	idea	idea	NOUN
ejpam-6042	33	4	behind	behind	ADP
ejpam-6042	33	5	trigonometrically	trigonometrically	ADV
ejpam-6042	33	6	fitted	fit	VERB
ejpam-6042	33	7	methods	method	NOUN
ejpam-6042	33	8	is	be	AUX
ejpam-6042	33	9	to	to	PART
ejpam-6042	33	10	seek	seek	VERB
ejpam-6042	33	11	an	an	DET
ejpam-6042	33	12	exact	exact	ADJ
ejpam-6042	33	13	integration	integration	NOUN
ejpam-6042	33	14	for	for	ADP
ejpam-6042	33	15	differential	differential	ADJ
ejpam-6042	33	16	equations	equation	NOUN
ejpam-6042	33	17	whose	whose	DET
ejpam-6042	33	18	solutions	solution	NOUN
ejpam-6042	33	19	can	can	AUX
ejpam-6042	33	20	be	be	AUX
ejpam-6042	33	21	expressed	express	VERB
ejpam-6042	33	22	as	as	ADP
ejpam-6042	33	23	linear	linear	ADJ
ejpam-6042	33	24	combinations	combination	NOUN
ejpam-6042	33	25	of	of	ADP
ejpam-6042	33	26	certain	certain	ADJ
ejpam-6042	33	27	functions	function	NOUN
ejpam-6042	33	28	{	{	PUNCT
ejpam-6042	33	29	cos(λt	cos(λt	NOUN
ejpam-6042	33	30	)	)	PUNCT
ejpam-6042	33	31	,	,	PUNCT
ejpam-6042	33	32	sin	sin	NOUN
ejpam-6042	33	33	(	(	PUNCT
ejpam-6042	33	34	λt	λt	ADP
ejpam-6042	33	35	)	)	PUNCT
ejpam-6042	33	36	,	,	PUNCT
ejpam-6042	33	37	λ	λ	X
ejpam-6042	33	38	>	>	X
ejpam-6042	33	39	0	0	NUM
ejpam-6042	33	40	}	}	PUNCT
ejpam-6042	33	41	.	.	PUNCT
ejpam-6042	34	1	paternoster	paternoster	NOUN
ejpam-6042	35	1	[	[	X
ejpam-6042	35	2	6	6	NUM
ejpam-6042	35	3	]	]	PUNCT
ejpam-6042	35	4	considered	consider	VERB
ejpam-6042	35	5	the	the	DET
ejpam-6042	35	6	construction	construction	NOUN
ejpam-6042	35	7	of	of	ADP
ejpam-6042	35	8	rkn	rkn	NOUN
ejpam-6042	35	9	methods	method	NOUN
ejpam-6042	35	10	for	for	ADP
ejpam-6042	35	11	odes	ode	NOUN
ejpam-6042	35	12	with	with	ADP
ejpam-6042	35	13	oscillatory	oscillatory	ADJ
ejpam-6042	35	14	solutions	solution	NOUN
ejpam-6042	35	15	and	and	CCONJ
ejpam-6042	35	16	derived	derive	VERB
ejpam-6042	35	17	rk	rk	NOUN
ejpam-6042	35	18	and	and	CCONJ
ejpam-6042	35	19	rkn	rkn	NOUN
ejpam-6042	35	20	methods	method	NOUN
ejpam-6042	35	21	which	which	PRON
ejpam-6042	35	22	integrate	integrate	VERB
ejpam-6042	35	23	trigonometric	trigonometric	ADJ
ejpam-6042	35	24	polynomials	polynomial	NOUN
ejpam-6042	35	25	exactly	exactly	ADV
ejpam-6042	35	26	by	by	ADP
ejpam-6042	35	27	using	use	VERB
ejpam-6042	35	28	the	the	DET
ejpam-6042	35	29	linear	linear	ADJ
ejpam-6042	35	30	stage	stage	NOUN
ejpam-6042	35	31	representation	representation	NOUN
ejpam-6042	35	32	of	of	ADP
ejpam-6042	35	33	a	a	DET
ejpam-6042	35	34	rk	rk	NOUN
ejpam-6042	35	35	method	method	NOUN
ejpam-6042	35	36	given	give	VERB
ejpam-6042	35	37	in	in	ADP
ejpam-6042	35	38	albrecht	albrecht	PROPN
ejpam-6042	35	39	’s	’s	PART
ejpam-6042	35	40	approach	approach	NOUN
ejpam-6042	35	41	[	[	X
ejpam-6042	35	42	7	7	NUM
ejpam-6042	35	43	]	]	PUNCT
ejpam-6042	35	44	.	.	PUNCT
ejpam-6042	36	1	franco	franco	PROPN
ejpam-6042	37	1	[	[	X
ejpam-6042	37	2	8	8	NUM
ejpam-6042	37	3	]	]	PUNCT
ejpam-6042	37	4	constructed	construct	VERB
ejpam-6042	37	5	new	new	ADJ
ejpam-6042	37	6	explicit	explicit	ADJ
ejpam-6042	37	7	rkn	rkn	NOUN
ejpam-6042	37	8	methods	method	NOUN
ejpam-6042	37	9	up	up	ADP
ejpam-6042	37	10	to	to	PART
ejpam-6042	37	11	order	order	VERB
ejpam-6042	37	12	5	5	NUM
ejpam-6042	37	13	,	,	PUNCT
ejpam-6042	37	14	specially	specially	ADV
ejpam-6042	37	15	adapted	adapt	VERB
ejpam-6042	37	16	to	to	ADP
ejpam-6042	37	17	the	the	DET
ejpam-6042	37	18	numerical	numerical	ADJ
ejpam-6042	37	19	integration	integration	NOUN
ejpam-6042	37	20	of	of	ADP
ejpam-6042	37	21	perturbed	perturb	VERB
ejpam-6042	37	22	oscillators	oscillator	NOUN
ejpam-6042	37	23	.	.	PUNCT
ejpam-6042	38	1	li	li	PROPN
ejpam-6042	39	1	[	[	X
ejpam-6042	39	2	9	9	NUM
ejpam-6042	39	3	]	]	PUNCT
ejpam-6042	39	4	developed	develop	VERB
ejpam-6042	39	5	fifth	fifth	ADJ
ejpam-6042	39	6	and	and	CCONJ
ejpam-6042	39	7	sixth	sixth	ADJ
ejpam-6042	39	8	-	-	PUNCT
ejpam-6042	39	9	order	order	NOUN
ejpam-6042	39	10	trigonometrically	trigonometrically	ADV
ejpam-6042	39	11	fitted	fit	VERB
ejpam-6042	39	12	three	three	NUM
ejpam-6042	39	13	-	-	PUNCT
ejpam-6042	39	14	derivative	derivative	ADJ
ejpam-6042	39	15	runge	runge	NOUN
ejpam-6042	39	16	-	-	PUNCT
ejpam-6042	39	17	kutta	kutta	NOUN
ejpam-6042	39	18	(	(	PUNCT
ejpam-6042	39	19	tfthdrk	tfthdrk	NOUN
ejpam-6042	39	20	)	)	PUNCT
ejpam-6042	39	21	by	by	ADP
ejpam-6042	39	22	using	use	VERB
ejpam-6042	39	23	rooted	rooted	ADJ
ejpam-6042	39	24	trees	tree	NOUN
ejpam-6042	39	25	theory	theory	NOUN
ejpam-6042	39	26	and	and	CCONJ
ejpam-6042	39	27	b	b	NOUN
ejpam-6042	39	28	-	-	PUNCT
ejpam-6042	39	29	series	series	NOUN
ejpam-6042	39	30	.	.	PUNCT
ejpam-6042	40	1	at	at	ADP
ejpam-6042	40	2	the	the	DET
ejpam-6042	40	3	same	same	ADJ
ejpam-6042	40	4	year	year	NOUN
ejpam-6042	40	5	,	,	PUNCT
ejpam-6042	40	6	li	li	PROPN
ejpam-6042	40	7	et	et	PROPN
ejpam-6042	40	8	al	al	PROPN
ejpam-6042	40	9	.	.	PUNCT
ejpam-6042	41	1	[	[	X
ejpam-6042	41	2	10	10	NUM
ejpam-6042	41	3	]	]	PUNCT
ejpam-6042	41	4	extended	extend	VERB
ejpam-6042	41	5	explicit	explicit	ADJ
ejpam-6042	41	6	pseudo	pseudo	NOUN
ejpam-6042	41	7	two	two	NUM
ejpam-6042	41	8	-	-	PUNCT
ejpam-6042	41	9	step	step	NOUN
ejpam-6042	41	10	runge	runge	NOUN
ejpam-6042	41	11	–	–	PUNCT
ejpam-6042	41	12	kutta	kutta	NOUN
ejpam-6042	41	13	–	–	PUNCT
ejpam-6042	41	14	nyström	nyström	NOUN
ejpam-6042	41	15	(	(	PUNCT
ejpam-6042	41	16	eeptsrkn	eeptsrkn	ADJ
ejpam-6042	41	17	)	)	PUNCT
ejpam-6042	41	18	methods	method	NOUN
ejpam-6042	41	19	have	have	AUX
ejpam-6042	41	20	been	be	AUX
ejpam-6042	41	21	proposed	propose	VERB
ejpam-6042	41	22	for	for	ADP
ejpam-6042	41	23	the	the	DET
ejpam-6042	41	24	numerical	numerical	ADJ
ejpam-6042	41	25	integration	integration	NOUN
ejpam-6042	41	26	of	of	ADP
ejpam-6042	41	27	oscillatory	oscillatory	ADJ
ejpam-6042	41	28	systems	system	NOUN
ejpam-6042	41	29	,	,	PUNCT
ejpam-6042	41	30	inheriting	inherit	VERB
ejpam-6042	41	31	the	the	DET
ejpam-6042	41	32	framework	framework	NOUN
ejpam-6042	41	33	of	of	ADP
ejpam-6042	41	34	the	the	DET
ejpam-6042	41	35	explicit	explicit	ADJ
ejpam-6042	41	36	pseudo	pseudo	NOUN
ejpam-6042	41	37	two	two	NUM
ejpam-6042	41	38	-	-	PUNCT
ejpam-6042	41	39	step	step	NOUN
ejpam-6042	41	40	runge	runge	NOUN
ejpam-6042	41	41	-	-	PUNCT
ejpam-6042	41	42	kutta	kutta	NOUN
ejpam-6042	41	43	-	-	PUNCT
ejpam-6042	41	44	nyström	nyström	NOUN
ejpam-6042	41	45	methods	method	NOUN
ejpam-6042	41	46	.	.	PUNCT
ejpam-6042	42	1	these	these	DET
ejpam-6042	42	2	methods	method	NOUN
ejpam-6042	42	3	are	be	AUX
ejpam-6042	42	4	designed	design	VERB
ejpam-6042	42	5	to	to	PART
ejpam-6042	42	6	integrate	integrate	VERB
ejpam-6042	42	7	exactly	exactly	ADV
ejpam-6042	42	8	the	the	DET
ejpam-6042	42	9	unperturbed	unperturbed	ADJ
ejpam-6042	42	10	problem	problem	NOUN
ejpam-6042	42	11	y′′	y′′	PROPN
ejpam-6042	42	12	+	+	PROPN
ejpam-6042	42	13	my	my	PRON
ejpam-6042	42	14	=	=	ADJ
ejpam-6042	42	15	0	0	NUM
ejpam-6042	42	16	,	,	PUNCT
ejpam-6042	42	17	achieve	achieve	VERB
ejpam-6042	42	18	a	a	DET
ejpam-6042	42	19	maximum	maximum	ADJ
ejpam-6042	42	20	step	step	NOUN
ejpam-6042	42	21	order	order	NOUN
ejpam-6042	42	22	of	of	ADP
ejpam-6042	42	23	s+	s+	X
ejpam-6042	42	24	2	2	NUM
ejpam-6042	42	25	and	and	CCONJ
ejpam-6042	42	26	stage	stage	NOUN
ejpam-6042	42	27	order	order	NOUN
ejpam-6042	42	28	of	of	ADP
ejpam-6042	42	29	s+	s+	X
ejpam-6042	42	30	1	1	NUM
ejpam-6042	42	31	.	.	PUNCT
ejpam-6042	42	32	and	and	CCONJ
ejpam-6042	42	33	very	very	ADV
ejpam-6042	42	34	recently	recently	ADV
ejpam-6042	42	35	,	,	PUNCT
ejpam-6042	42	36	demba	demba	PROPN
ejpam-6042	42	37	et	et	PROPN
ejpam-6042	42	38	al	al	PROPN
ejpam-6042	42	39	.	.	PROPN
ejpam-6042	42	40	successively	successively	ADV
ejpam-6042	42	41	developed	develop	VERB
ejpam-6042	42	42	explicit	explicit	ADJ
ejpam-6042	42	43	,	,	PUNCT
ejpam-6042	42	44	embedded	embed	VERB
ejpam-6042	42	45	explicit	explicit	ADJ
ejpam-6042	42	46	,	,	PUNCT
ejpam-6042	42	47	phaseand	phaseand	NOUN
ejpam-6042	42	48	amplification	amplification	NOUN
ejpam-6042	42	49	-	-	PUNCT
ejpam-6042	42	50	fitted	fit	VERB
ejpam-6042	42	51	5(4	5(4	NOUN
ejpam-6042	42	52	)	)	PUNCT
ejpam-6042	42	53	diagonally	diagonally	ADV
ejpam-6042	42	54	explicit	explicit	ADJ
ejpam-6042	42	55	,	,	PUNCT
ejpam-6042	42	56	phaseand	phaseand	NOUN
ejpam-6042	42	57	amplification	amplification	NOUN
ejpam-6042	42	58	-	-	PUNCT
ejpam-6042	42	59	fitted	fit	VERB
ejpam-6042	42	60	5(4	5(4	NOUN
ejpam-6042	42	61	)	)	PUNCT
ejpam-6042	42	62	diagonally	diagonally	ADV
ejpam-6042	42	63	implicit	implicit	ADJ
ejpam-6042	42	64	runge	runge	NOUN
ejpam-6042	42	65	-	-	PUNCT
ejpam-6042	42	66	kutta	kutta	NOUN
ejpam-6042	42	67	-	-	PUNCT
ejpam-6042	42	68	nyström	nyström	NOUN
ejpam-6042	42	69	methods	method	NOUN
ejpam-6042	42	70	,	,	PUNCT
ejpam-6042	42	71	making	make	VERB
ejpam-6042	42	72	a	a	DET
ejpam-6042	42	73	significant	significant	ADJ
ejpam-6042	42	74	contribution	contribution	NOUN
ejpam-6042	42	75	to	to	ADP
ejpam-6042	42	76	the	the	DET
ejpam-6042	42	77	progress	progress	NOUN
ejpam-6042	42	78	of	of	ADP
ejpam-6042	42	79	trigonometrical	trigonometrical	ADJ
ejpam-6042	42	80	integration	integration	NOUN
ejpam-6042	42	81	research	research	NOUN
ejpam-6042	42	82	(	(	PUNCT
ejpam-6042	42	83	see[11–14	see[11–14	PROPN
ejpam-6042	42	84	]	]	PUNCT
ejpam-6042	42	85	for	for	ADP
ejpam-6042	42	86	further	further	ADJ
ejpam-6042	42	87	details	detail	NOUN
ejpam-6042	42	88	)	)	PUNCT
ejpam-6042	42	89	.	.	PUNCT
ejpam-6042	43	1	these	these	DET
ejpam-6042	43	2	advancements	advancement	NOUN
ejpam-6042	43	3	in	in	ADP
ejpam-6042	43	4	rkn	rkn	NOUN
ejpam-6042	43	5	methods	method	NOUN
ejpam-6042	43	6	hava	hava	PROPN
ejpam-6042	43	7	significantly	significantly	ADV
ejpam-6042	43	8	improved	improve	VERB
ejpam-6042	43	9	the	the	DET
ejpam-6042	43	10	efficiency	efficiency	NOUN
ejpam-6042	43	11	and	and	CCONJ
ejpam-6042	43	12	accuracy	accuracy	NOUN
ejpam-6042	43	13	of	of	ADP
ejpam-6042	43	14	solving	solve	VERB
ejpam-6042	43	15	oscillatory	oscillatory	ADJ
ejpam-6042	43	16	and	and	CCONJ
ejpam-6042	43	17	periodic	periodic	ADJ
ejpam-6042	43	18	initial	initial	ADJ
ejpam-6042	43	19	value	value	NOUN
ejpam-6042	43	20	problems	problem	NOUN
ejpam-6042	43	21	.	.	PUNCT
ejpam-6042	44	1	several	several	ADJ
ejpam-6042	44	2	developz	developz	NOUN
ejpam-6042	44	3	.	.	PUNCT
ejpam-6042	45	1	sun	sun	PROPN
ejpam-6042	45	2	et	et	PROPN
ejpam-6042	45	3	al	al	PROPN
ejpam-6042	45	4	.	.	PUNCT
ejpam-6042	45	5	/	/	SYM
ejpam-6042	45	6	eur	eur	PROPN
ejpam-6042	45	7	.	.	PUNCT
ejpam-6042	46	1	j.	j.	PROPN
ejpam-6042	46	2	pure	pure	PROPN
ejpam-6042	46	3	appl	appl	PROPN
ejpam-6042	46	4	.	.	PROPN
ejpam-6042	46	5	math	math	PROPN
ejpam-6042	46	6	,	,	PUNCT
ejpam-6042	46	7	18	18	NUM
ejpam-6042	46	8	(	(	PUNCT
ejpam-6042	46	9	4	4	NUM
ejpam-6042	46	10	)	)	PUNCT
ejpam-6042	46	11	(	(	PUNCT
ejpam-6042	46	12	2025	2025	NUM
ejpam-6042	46	13	)	)	PUNCT
ejpam-6042	46	14	,	,	PUNCT
ejpam-6042	46	15	6042	6042	NUM
ejpam-6042	46	16	3	3	NUM
ejpam-6042	46	17	of	of	ADP
ejpam-6042	46	18	45	45	NUM
ejpam-6042	46	19	ing	ing	ADJ
ejpam-6042	46	20	methods	method	NOUN
ejpam-6042	46	21	,	,	PUNCT
ejpam-6042	46	22	including	include	VERB
ejpam-6042	46	23	the	the	DET
ejpam-6042	46	24	fourth	fourth	ADJ
ejpam-6042	46	25	-	-	PUNCT
ejpam-6042	46	26	order	order	NOUN
ejpam-6042	46	27	four	four	NUM
ejpam-6042	46	28	-	-	PUNCT
ejpam-6042	46	29	stage	stage	NOUN
ejpam-6042	46	30	explicit	explicit	ADJ
ejpam-6042	46	31	trigonometrically	trigonometrically	ADV
ejpam-6042	46	32	-	-	PUNCT
ejpam-6042	46	33	fitted	fit	VERB
ejpam-6042	46	34	rkn	rkn	NOUN
ejpam-6042	46	35	methods	method	NOUN
ejpam-6042	46	36	,	,	PUNCT
ejpam-6042	46	37	demonstrate	demonstrate	VERB
ejpam-6042	46	38	smaller	small	ADJ
ejpam-6042	46	39	global	global	ADJ
ejpam-6042	46	40	errors	error	NOUN
ejpam-6042	46	41	compared	compare	VERB
ejpam-6042	46	42	to	to	ADP
ejpam-6042	46	43	existing	exist	VERB
ejpam-6042	46	44	methods	method	NOUN
ejpam-6042	46	45	[	[	X
ejpam-6042	46	46	11	11	NUM
ejpam-6042	46	47	]	]	PUNCT
ejpam-6042	46	48	.	.	PUNCT
ejpam-6042	47	1	embedded	embed	VERB
ejpam-6042	47	2	pairs	pair	NOUN
ejpam-6042	47	3	,	,	PUNCT
ejpam-6042	47	4	such	such	ADJ
ejpam-6042	47	5	as	as	ADP
ejpam-6042	47	6	the	the	DET
ejpam-6042	47	7	4(3	4(3	NUM
ejpam-6042	47	8	)	)	PUNCT
ejpam-6042	47	9	explicit	explicit	ADJ
ejpam-6042	47	10	trigonometrically	trigonometrically	ADV
ejpam-6042	47	11	-	-	PUNCT
ejpam-6042	47	12	fitted	fit	VERB
ejpam-6042	47	13	rkn	rkn	NOUN
ejpam-6042	47	14	methods	method	NOUN
ejpam-6042	47	15	,	,	PUNCT
ejpam-6042	47	16	offer	offer	VERB
ejpam-6042	47	17	reduced	reduce	VERB
ejpam-6042	47	18	computational	computational	ADJ
ejpam-6042	47	19	costs	cost	NOUN
ejpam-6042	47	20	with	with	ADP
ejpam-6042	47	21	fewer	few	ADJ
ejpam-6042	47	22	function	function	NOUN
ejpam-6042	47	23	evaluations	evaluation	NOUN
ejpam-6042	47	24	per	per	ADP
ejpam-6042	47	25	step	step	NOUN
ejpam-6042	47	26	[	[	X
ejpam-6042	47	27	12	12	NUM
ejpam-6042	47	28	]	]	PUNCT
ejpam-6042	47	29	.	.	PUNCT
ejpam-6042	48	1	additionally	additionally	ADV
ejpam-6042	48	2	,	,	PUNCT
ejpam-6042	48	3	phaseand	phaseand	NOUN
ejpam-6042	48	4	amplification	amplification	NOUN
ejpam-6042	48	5	-	-	PUNCT
ejpam-6042	48	6	fitted	fit	VERB
ejpam-6042	48	7	methods	method	NOUN
ejpam-6042	48	8	have	have	AUX
ejpam-6042	48	9	been	be	AUX
ejpam-6042	48	10	developed	develop	VERB
ejpam-6042	48	11	,	,	PUNCT
ejpam-6042	48	12	maintaining	maintain	VERB
ejpam-6042	48	13	high	high	ADJ
ejpam-6042	48	14	-	-	PUNCT
ejpam-6042	48	15	order	order	NOUN
ejpam-6042	48	16	convergence	convergence	NOUN
ejpam-6042	48	17	and	and	CCONJ
ejpam-6042	48	18	providing	provide	VERB
ejpam-6042	48	19	improved	improved	ADJ
ejpam-6042	48	20	stability	stability	NOUN
ejpam-6042	48	21	intervals	interval	NOUN
ejpam-6042	48	22	[	[	X
ejpam-6042	48	23	13	13	NUM
ejpam-6042	48	24	]	]	PUNCT
ejpam-6042	48	25	.	.	PUNCT
ejpam-6042	49	1	notably	notably	ADV
ejpam-6042	49	2	,	,	PUNCT
ejpam-6042	49	3	the	the	DET
ejpam-6042	49	4	pfafrkn5(3	pfafrkn5(3	PROPN
ejpam-6042	49	5	)	)	PUNCT
ejpam-6042	49	6	and	and	CCONJ
ejpam-6042	49	7	pfaf	pfaf	NOUN
ejpam-6042	49	8	-	-	PUNCT
ejpam-6042	49	9	dirkn5(4)4	dirkn5(4)4	NOUN
ejpam-6042	49	10	pairs	pair	NOUN
ejpam-6042	49	11	show	show	VERB
ejpam-6042	49	12	enhanced	enhanced	ADJ
ejpam-6042	49	13	accuracy	accuracy	NOUN
ejpam-6042	49	14	and	and	CCONJ
ejpam-6042	49	15	efficiency	efficiency	NOUN
ejpam-6042	49	16	over	over	ADP
ejpam-6042	49	17	their	their	PRON
ejpam-6042	49	18	counterparts	counterpart	NOUN
ejpam-6042	49	19	,	,	PUNCT
ejpam-6042	49	20	offering	offer	VERB
ejpam-6042	49	21	promising	promising	ADJ
ejpam-6042	49	22	results	result	NOUN
ejpam-6042	49	23	for	for	ADP
ejpam-6042	49	24	solving	solve	VERB
ejpam-6042	49	25	complex	complex	ADJ
ejpam-6042	49	26	oscillatory	oscillatory	ADJ
ejpam-6042	49	27	problems	problem	NOUN
ejpam-6042	49	28	[	[	X
ejpam-6042	49	29	14	14	NUM
ejpam-6042	49	30	]	]	PUNCT
ejpam-6042	49	31	.	.	PUNCT
ejpam-6042	50	1	motivated	motivate	VERB
ejpam-6042	50	2	by	by	ADP
ejpam-6042	50	3	the	the	DET
ejpam-6042	50	4	goal	goal	NOUN
ejpam-6042	50	5	of	of	ADP
ejpam-6042	50	6	enhancing	enhance	VERB
ejpam-6042	50	7	the	the	DET
ejpam-6042	50	8	order	order	NOUN
ejpam-6042	50	9	and	and	CCONJ
ejpam-6042	50	10	numerical	numerical	ADJ
ejpam-6042	50	11	accuracy	accuracy	NOUN
ejpam-6042	50	12	of	of	ADP
ejpam-6042	50	13	rkn	rkn	NOUN
ejpam-6042	50	14	methods	method	NOUN
ejpam-6042	50	15	,	,	PUNCT
ejpam-6042	50	16	many	many	ADJ
ejpam-6042	50	17	researchers	researcher	NOUN
ejpam-6042	50	18	have	have	AUX
ejpam-6042	50	19	modified	modify	VERB
ejpam-6042	50	20	the	the	DET
ejpam-6042	50	21	classical	classical	ADJ
ejpam-6042	50	22	rknmethods	rknmethod	NOUN
ejpam-6042	50	23	into	into	ADP
ejpam-6042	50	24	two	two	NUM
ejpam-6042	50	25	-	-	PUNCT
ejpam-6042	50	26	derivative	derivative	ADJ
ejpam-6042	50	27	rungekutta	rungekutta	NOUN
ejpam-6042	50	28	-	-	PUNCT
ejpam-6042	50	29	nyström	nyström	NOUN
ejpam-6042	50	30	(	(	PUNCT
ejpam-6042	50	31	tdrkn	tdrkn	NOUN
ejpam-6042	50	32	)	)	PUNCT
ejpam-6042	50	33	methods	method	NOUN
ejpam-6042	50	34	by	by	ADP
ejpam-6042	50	35	incorporating	incorporate	VERB
ejpam-6042	50	36	the	the	DET
ejpam-6042	50	37	second	second	ADJ
ejpam-6042	50	38	derivatives	derivative	NOUN
ejpam-6042	50	39	of	of	ADP
ejpam-6042	50	40	f	f	PROPN
ejpam-6042	50	41	-evaluation	-evaluation	PROPN
ejpam-6042	50	42	into	into	ADP
ejpam-6042	50	43	the	the	DET
ejpam-6042	50	44	formulation	formulation	NOUN
ejpam-6042	50	45	.	.	PUNCT
ejpam-6042	51	1	chen	chen	PROPN
ejpam-6042	51	2	et	et	PROPN
ejpam-6042	51	3	al	al	PROPN
ejpam-6042	51	4	.	.	PUNCT
ejpam-6042	52	1	[	[	X
ejpam-6042	52	2	15	15	NUM
ejpam-6042	52	3	]	]	PUNCT
ejpam-6042	52	4	extended	extend	VERB
ejpam-6042	52	5	the	the	DET
ejpam-6042	52	6	traditional	traditional	ADJ
ejpam-6042	52	7	rkn	rkn	NOUN
ejpam-6042	52	8	methods	method	NOUN
ejpam-6042	52	9	for	for	ADP
ejpam-6042	52	10	general	general	ADJ
ejpam-6042	52	11	second	second	ADJ
ejpam-6042	52	12	-	-	PUNCT
ejpam-6042	52	13	order	order	NOUN
ejpam-6042	52	14	odes	ode	VERB
ejpam-6042	52	15	to	to	ADP
ejpam-6042	52	16	tdrkn	tdrkn	ADJ
ejpam-6042	52	17	methods	method	NOUN
ejpam-6042	52	18	involving	involve	VERB
ejpam-6042	52	19	the	the	DET
ejpam-6042	52	20	third	third	ADJ
ejpam-6042	52	21	derivative	derivative	NOUN
ejpam-6042	52	22	.	.	PUNCT
ejpam-6042	53	1	the	the	DET
ejpam-6042	53	2	order	order	NOUN
ejpam-6042	53	3	criteria	criterion	NOUN
ejpam-6042	53	4	for	for	ADP
ejpam-6042	53	5	tdrkn	tdrkn	ADJ
ejpam-6042	53	6	methods	method	NOUN
ejpam-6042	53	7	were	be	AUX
ejpam-6042	53	8	derived	derive	VERB
ejpam-6042	53	9	using	use	VERB
ejpam-6042	53	10	a	a	DET
ejpam-6042	53	11	novel	novel	ADJ
ejpam-6042	53	12	version	version	NOUN
ejpam-6042	53	13	of	of	ADP
ejpam-6042	53	14	nyström	nyström	DET
ejpam-6042	53	15	tree	tree	NOUN
ejpam-6042	53	16	theory	theory	NOUN
ejpam-6042	53	17	and	and	CCONJ
ejpam-6042	53	18	the	the	DET
ejpam-6042	53	19	associated	associated	ADJ
ejpam-6042	53	20	b	b	PROPN
ejpam-6042	53	21	-	-	PUNCT
ejpam-6042	53	22	series	series	NOUN
ejpam-6042	53	23	theory	theory	NOUN
ejpam-6042	53	24	.	.	PUNCT
ejpam-6042	54	1	they	they	PRON
ejpam-6042	54	2	developed	develop	VERB
ejpam-6042	54	3	a	a	DET
ejpam-6042	54	4	two	two	NUM
ejpam-6042	54	5	-	-	PUNCT
ejpam-6042	54	6	stage	stage	NOUN
ejpam-6042	54	7	explicit	explicit	ADJ
ejpam-6042	54	8	tdrkn	tdrkn	ADJ
ejpam-6042	54	9	method	method	NOUN
ejpam-6042	54	10	of	of	ADP
ejpam-6042	54	11	fourth	fourth	ADJ
ejpam-6042	54	12	-	-	PUNCT
ejpam-6042	54	13	order	order	NOUN
ejpam-6042	54	14	and	and	CCONJ
ejpam-6042	54	15	a	a	DET
ejpam-6042	54	16	three	three	NUM
ejpam-6042	54	17	-	-	PUNCT
ejpam-6042	54	18	stage	stage	NOUN
ejpam-6042	54	19	explicit	explicit	ADJ
ejpam-6042	54	20	tdrkn	tdrkn	ADJ
ejpam-6042	54	21	method	method	NOUN
ejpam-6042	54	22	of	of	ADP
ejpam-6042	54	23	fifth	fifth	ADJ
ejpam-6042	54	24	-	-	PUNCT
ejpam-6042	54	25	order	order	NOUN
ejpam-6042	54	26	.	.	PUNCT
ejpam-6042	55	1	jator	jator	NOUN
ejpam-6042	56	1	[	[	X
ejpam-6042	56	2	16	16	NUM
ejpam-6042	56	3	]	]	PUNCT
ejpam-6042	56	4	introduced	introduce	VERB
ejpam-6042	56	5	a	a	DET
ejpam-6042	56	6	trigonometrically	trigonometrically	ADV
ejpam-6042	56	7	-	-	PUNCT
ejpam-6042	56	8	fitted	fit	VERB
ejpam-6042	56	9	implicit	implicit	ADJ
ejpam-6042	56	10	third	third	ADJ
ejpam-6042	56	11	derivative	derivative	ADJ
ejpam-6042	56	12	runge	runge	NOUN
ejpam-6042	56	13	-	-	PUNCT
ejpam-6042	56	14	kutta	kutta	NOUN
ejpam-6042	56	15	-	-	PUNCT
ejpam-6042	56	16	nyström	nyström	NOUN
ejpam-6042	56	17	method	method	NOUN
ejpam-6042	56	18	(	(	PUNCT
ejpam-6042	56	19	ttrknm	ttrknm	NOUN
ejpam-6042	56	20	)	)	PUNCT
ejpam-6042	56	21	,	,	PUNCT
ejpam-6042	56	22	with	with	ADP
ejpam-6042	56	23	coefficients	coefficient	NOUN
ejpam-6042	56	24	dependent	dependent	ADJ
ejpam-6042	56	25	on	on	ADP
ejpam-6042	56	26	the	the	DET
ejpam-6042	56	27	frequency	frequency	NOUN
ejpam-6042	56	28	and	and	CCONJ
ejpam-6042	56	29	step	step	NOUN
ejpam-6042	56	30	size	size	NOUN
ejpam-6042	56	31	,	,	PUNCT
ejpam-6042	56	32	for	for	ADP
ejpam-6042	56	33	periodic	periodic	ADJ
ejpam-6042	56	34	initial	initial	ADJ
ejpam-6042	56	35	value	value	NOUN
ejpam-6042	56	36	problems	problem	NOUN
ejpam-6042	56	37	(	(	PUNCT
ejpam-6042	56	38	ivps	ivps	PROPN
ejpam-6042	56	39	)	)	PUNCT
ejpam-6042	56	40	.	.	PUNCT
ejpam-6042	57	1	the	the	DET
ejpam-6042	57	2	ttrknm	ttrknm	NOUN
ejpam-6042	57	3	consists	consist	VERB
ejpam-6042	57	4	of	of	ADP
ejpam-6042	57	5	a	a	DET
ejpam-6042	57	6	pair	pair	NOUN
ejpam-6042	57	7	of	of	ADP
ejpam-6042	57	8	methods	method	NOUN
ejpam-6042	57	9	derived	derive	VERB
ejpam-6042	57	10	from	from	ADP
ejpam-6042	57	11	its	its	PRON
ejpam-6042	57	12	continuous	continuous	ADJ
ejpam-6042	57	13	version	version	NOUN
ejpam-6042	57	14	,	,	PUNCT
ejpam-6042	57	15	which	which	PRON
ejpam-6042	57	16	are	be	AUX
ejpam-6042	57	17	used	use	VERB
ejpam-6042	57	18	to	to	PART
ejpam-6042	57	19	produce	produce	VERB
ejpam-6042	57	20	simultaneous	simultaneous	ADJ
ejpam-6042	57	21	approximations	approximation	NOUN
ejpam-6042	57	22	of	of	ADP
ejpam-6042	57	23	the	the	DET
ejpam-6042	57	24	solution	solution	NOUN
ejpam-6042	57	25	and	and	CCONJ
ejpam-6042	57	26	its	its	PRON
ejpam-6042	57	27	first	first	ADJ
ejpam-6042	57	28	derivative	derivative	NOUN
ejpam-6042	57	29	at	at	ADP
ejpam-6042	57	30	each	each	DET
ejpam-6042	57	31	point	point	NOUN
ejpam-6042	57	32	in	in	ADP
ejpam-6042	57	33	the	the	DET
ejpam-6042	57	34	interval	interval	NOUN
ejpam-6042	57	35	of	of	ADP
ejpam-6042	57	36	interest	interest	NOUN
ejpam-6042	57	37	.	.	PUNCT
ejpam-6042	58	1	the	the	DET
ejpam-6042	58	2	stability	stability	NOUN
ejpam-6042	58	3	properties	property	NOUN
ejpam-6042	58	4	of	of	ADP
ejpam-6042	58	5	the	the	DET
ejpam-6042	58	6	method	method	NOUN
ejpam-6042	58	7	were	be	AUX
ejpam-6042	58	8	discussed	discuss	VERB
ejpam-6042	58	9	,	,	PUNCT
ejpam-6042	58	10	and	and	CCONJ
ejpam-6042	58	11	numerical	numerical	ADJ
ejpam-6042	58	12	experiments	experiment	NOUN
ejpam-6042	58	13	were	be	AUX
ejpam-6042	58	14	conducted	conduct	VERB
ejpam-6042	58	15	to	to	PART
ejpam-6042	58	16	demonstrate	demonstrate	VERB
ejpam-6042	58	17	its	its	PRON
ejpam-6042	58	18	accuracy	accuracy	NOUN
ejpam-6042	58	19	and	and	CCONJ
ejpam-6042	58	20	efficiency	efficiency	NOUN
ejpam-6042	58	21	.	.	PUNCT
ejpam-6042	59	1	chen	chen	PROPN
ejpam-6042	59	2	et	et	PROPN
ejpam-6042	59	3	al	al	PROPN
ejpam-6042	59	4	.	.	PUNCT
ejpam-6042	60	1	[	[	X
ejpam-6042	60	2	17	17	NUM
ejpam-6042	60	3	]	]	PUNCT
ejpam-6042	60	4	proposed	propose	VERB
ejpam-6042	60	5	a	a	DET
ejpam-6042	60	6	new	new	ADJ
ejpam-6042	60	7	family	family	NOUN
ejpam-6042	60	8	of	of	ADP
ejpam-6042	60	9	modified	modify	VERB
ejpam-6042	60	10	tdrkn	tdrkn	ADJ
ejpam-6042	60	11	methods	method	NOUN
ejpam-6042	60	12	for	for	ADP
ejpam-6042	60	13	solving	solve	VERB
ejpam-6042	60	14	second	second	ADJ
ejpam-6042	60	15	-	-	PUNCT
ejpam-6042	60	16	order	order	NOUN
ejpam-6042	60	17	oscillatory	oscillatory	ADJ
ejpam-6042	60	18	odes	ode	NOUN
ejpam-6042	60	19	.	.	PUNCT
ejpam-6042	61	1	order	order	NOUN
ejpam-6042	61	2	conditions	condition	NOUN
ejpam-6042	61	3	were	be	AUX
ejpam-6042	61	4	derived	derive	VERB
ejpam-6042	61	5	using	use	VERB
ejpam-6042	61	6	nyström	nyström	DET
ejpam-6042	61	7	tree	tree	NOUN
ejpam-6042	61	8	theory	theory	NOUN
ejpam-6042	61	9	and	and	CCONJ
ejpam-6042	61	10	b	b	NOUN
ejpam-6042	61	11	-	-	PUNCT
ejpam-6042	61	12	series	series	NOUN
ejpam-6042	61	13	theory	theory	NOUN
ejpam-6042	61	14	.	.	PUNCT
ejpam-6042	62	1	they	they	PRON
ejpam-6042	62	2	established	establish	VERB
ejpam-6042	62	3	trigonometrically	trigonometrically	ADV
ejpam-6042	62	4	-	-	PUNCT
ejpam-6042	62	5	fitted	fit	VERB
ejpam-6042	62	6	conditions	condition	NOUN
ejpam-6042	62	7	and	and	CCONJ
ejpam-6042	62	8	constructed	construct	VERB
ejpam-6042	62	9	two	two	NUM
ejpam-6042	62	10	practical	practical	ADJ
ejpam-6042	62	11	explicit	explicit	ADJ
ejpam-6042	62	12	trigonometrically	trigonometrically	ADV
ejpam-6042	62	13	-	-	PUNCT
ejpam-6042	62	14	fitted	fit	VERB
ejpam-6042	62	15	tdrkn	tdrkn	NOUN
ejpam-6042	62	16	(	(	PUNCT
ejpam-6042	62	17	tftdrkn	tftdrkn	ADJ
ejpam-6042	62	18	)	)	PUNCT
ejpam-6042	62	19	methods	method	NOUN
ejpam-6042	62	20	.	.	PUNCT
ejpam-6042	63	1	the	the	DET
ejpam-6042	63	2	phase	phase	NOUN
ejpam-6042	63	3	properties	property	NOUN
ejpam-6042	63	4	of	of	ADP
ejpam-6042	63	5	the	the	DET
ejpam-6042	63	6	new	new	ADJ
ejpam-6042	63	7	integrator	integrator	NOUN
ejpam-6042	63	8	were	be	AUX
ejpam-6042	63	9	examined	examine	VERB
ejpam-6042	63	10	,	,	PUNCT
ejpam-6042	63	11	and	and	CCONJ
ejpam-6042	63	12	their	their	PRON
ejpam-6042	63	13	periodicity	periodicity	NOUN
ejpam-6042	63	14	regions	region	NOUN
ejpam-6042	63	15	were	be	AUX
ejpam-6042	63	16	determined	determine	VERB
ejpam-6042	63	17	.	.	PUNCT
ejpam-6042	64	1	numerical	numerical	ADJ
ejpam-6042	64	2	experiments	experiment	NOUN
ejpam-6042	64	3	demonstrated	demonstrate	VERB
ejpam-6042	64	4	the	the	DET
ejpam-6042	64	5	efficiency	efficiency	NOUN
ejpam-6042	64	6	and	and	CCONJ
ejpam-6042	64	7	competence	competence	NOUN
ejpam-6042	64	8	of	of	ADP
ejpam-6042	64	9	the	the	DET
ejpam-6042	64	10	new	new	ADJ
ejpam-6042	64	11	methods	method	NOUN
ejpam-6042	64	12	.	.	PUNCT
ejpam-6042	65	1	for	for	ADP
ejpam-6042	65	2	a	a	DET
ejpam-6042	65	3	comprehensive	comprehensive	ADJ
ejpam-6042	65	4	discussion	discussion	NOUN
ejpam-6042	65	5	on	on	ADP
ejpam-6042	65	6	the	the	DET
ejpam-6042	65	7	construction	construction	NOUN
ejpam-6042	65	8	and	and	CCONJ
ejpam-6042	65	9	analysis	analysis	NOUN
ejpam-6042	65	10	of	of	ADP
ejpam-6042	65	11	trigonometrically	trigonometrically	ADV
ejpam-6042	65	12	-	-	PUNCT
ejpam-6042	65	13	fitted	fit	VERB
ejpam-6042	65	14	or	or	CCONJ
ejpam-6042	65	15	exponentially	exponentially	ADV
ejpam-6042	65	16	-	-	PUNCT
ejpam-6042	65	17	fitted	fit	VERB
ejpam-6042	65	18	tdrkn	tdrkn	NOUN
ejpam-6042	65	19	methods	method	NOUN
ejpam-6042	65	20	,	,	PUNCT
ejpam-6042	65	21	readers	reader	NOUN
ejpam-6042	65	22	are	be	AUX
ejpam-6042	65	23	directed	direct	VERB
ejpam-6042	65	24	to	to	ADP
ejpam-6042	65	25	the	the	DET
ejpam-6042	65	26	works	work	NOUN
ejpam-6042	65	27	in	in	ADP
ejpam-6042	65	28	[	[	X
ejpam-6042	65	29	18–20	18–20	NUM
ejpam-6042	65	30	]	]	PUNCT
ejpam-6042	65	31	and	and	CCONJ
ejpam-6042	65	32	so	so	ADV
ejpam-6042	65	33	on	on	ADV
ejpam-6042	65	34	.	.	PUNCT
ejpam-6042	66	1	among	among	ADP
ejpam-6042	66	2	articles	article	NOUN
ejpam-6042	66	3	about	about	ADP
ejpam-6042	66	4	solving	solve	VERB
ejpam-6042	66	5	second	second	ADJ
ejpam-6042	66	6	-	-	PUNCT
ejpam-6042	66	7	order	order	NOUN
ejpam-6042	66	8	odes	ode	NOUN
ejpam-6042	66	9	using	use	VERB
ejpam-6042	66	10	tdrkn	tdrkn	ADJ
ejpam-6042	66	11	methods	method	NOUN
ejpam-6042	66	12	,	,	PUNCT
ejpam-6042	66	13	those	those	PRON
ejpam-6042	66	14	addressing	address	VERB
ejpam-6042	66	15	general	general	ADJ
ejpam-6042	66	16	second	second	ADJ
ejpam-6042	66	17	-	-	PUNCT
ejpam-6042	66	18	order	order	NOUN
ejpam-6042	66	19	odes	ode	VERB
ejpam-6042	66	20	account	account	VERB
ejpam-6042	66	21	for	for	ADP
ejpam-6042	66	22	the	the	DET
ejpam-6042	66	23	vast	vast	ADJ
ejpam-6042	66	24	majority	majority	NOUN
ejpam-6042	66	25	.	.	PUNCT
ejpam-6042	67	1	there	there	PRON
ejpam-6042	67	2	are	be	VERB
ejpam-6042	67	3	numerous	numerous	ADJ
ejpam-6042	67	4	rkn	rkn	ADJ
ejpam-6042	67	5	methods	method	NOUN
ejpam-6042	67	6	for	for	ADP
ejpam-6042	67	7	integrating	integrate	VERB
ejpam-6042	67	8	a	a	DET
ejpam-6042	67	9	general	general	ADJ
ejpam-6042	67	10	class	class	NOUN
ejpam-6042	67	11	of	of	ADP
ejpam-6042	67	12	second	second	ADJ
ejpam-6042	67	13	-	-	PUNCT
ejpam-6042	67	14	order	order	NOUN
ejpam-6042	67	15	ivps	ivps	NOUN
ejpam-6042	67	16	.	.	PUNCT
ejpam-6042	68	1	however	however	ADV
ejpam-6042	68	2	,	,	PUNCT
ejpam-6042	68	3	there	there	PRON
ejpam-6042	68	4	is	be	VERB
ejpam-6042	68	5	a	a	DET
ejpam-6042	68	6	lack	lack	NOUN
ejpam-6042	68	7	of	of	ADP
ejpam-6042	68	8	research	research	NOUN
ejpam-6042	68	9	applying	apply	VERB
ejpam-6042	68	10	tdrkn	tdrkn	ADJ
ejpam-6042	68	11	methods	method	NOUN
ejpam-6042	68	12	to	to	ADP
ejpam-6042	68	13	solving	solve	VERB
ejpam-6042	68	14	special	special	ADJ
ejpam-6042	68	15	classes	class	NOUN
ejpam-6042	68	16	of	of	ADP
ejpam-6042	68	17	second	second	ADJ
ejpam-6042	68	18	-	-	PUNCT
ejpam-6042	68	19	order	order	NOUN
ejpam-6042	68	20	odes	ode	NOUN
ejpam-6042	68	21	in	in	ADP
ejpam-6042	68	22	the	the	DET
ejpam-6042	68	23	form	form	NOUN
ejpam-6042	68	24	of	of	ADP
ejpam-6042	68	25	u′′	u′′	PROPN
ejpam-6042	68	26	=	=	SYM
ejpam-6042	68	27	f	f	PROPN
ejpam-6042	68	28	(	(	PUNCT
ejpam-6042	68	29	t	t	PROPN
ejpam-6042	68	30	,	,	PUNCT
ejpam-6042	68	31	u	u	NOUN
ejpam-6042	68	32	)	)	PUNCT
ejpam-6042	68	33	.	.	PUNCT
ejpam-6042	69	1	additionally	additionally	ADV
ejpam-6042	69	2	,	,	PUNCT
ejpam-6042	69	3	there	there	PRON
ejpam-6042	69	4	is	be	VERB
ejpam-6042	69	5	a	a	DET
ejpam-6042	69	6	shortage	shortage	NOUN
ejpam-6042	69	7	of	of	ADP
ejpam-6042	69	8	studies	study	NOUN
ejpam-6042	69	9	on	on	ADP
ejpam-6042	69	10	constructing	construct	VERB
ejpam-6042	69	11	trigonometrically	trigonometrically	ADV
ejpam-6042	69	12	-	-	PUNCT
ejpam-6042	69	13	fitted	fit	VERB
ejpam-6042	69	14	tdrkn	tdrkn	NOUN
ejpam-6042	69	15	methods	method	NOUN
ejpam-6042	69	16	for	for	ADP
ejpam-6042	69	17	directly	directly	ADV
ejpam-6042	69	18	solving	solve	VERB
ejpam-6042	69	19	special	special	ADJ
ejpam-6042	69	20	classes	class	NOUN
ejpam-6042	69	21	of	of	ADP
ejpam-6042	69	22	second	second	ADJ
ejpam-6042	69	23	-	-	PUNCT
ejpam-6042	69	24	order	order	NOUN
ejpam-6042	69	25	odes	ode	VERB
ejpam-6042	69	26	with	with	ADP
ejpam-6042	69	27	periodic	periodic	ADJ
ejpam-6042	69	28	solutions	solution	NOUN
ejpam-6042	69	29	.	.	PUNCT
ejpam-6042	70	1	hence	hence	ADV
ejpam-6042	70	2	,	,	PUNCT
ejpam-6042	70	3	we	we	PRON
ejpam-6042	70	4	focus	focus	VERB
ejpam-6042	70	5	on	on	ADP
ejpam-6042	70	6	developing	develop	VERB
ejpam-6042	70	7	a	a	DET
ejpam-6042	70	8	new	new	ADJ
ejpam-6042	70	9	efficient	efficient	ADJ
ejpam-6042	70	10	trigonometrically	trigonometrically	ADV
ejpam-6042	70	11	-	-	PUNCT
ejpam-6042	70	12	fitted	fit	VERB
ejpam-6042	70	13	tdrkn	tdrkn	NOUN
ejpam-6042	70	14	(	(	PUNCT
ejpam-6042	70	15	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	70	16	)	)	PUNCT
ejpam-6042	70	17	)	)	PUNCT
ejpam-6042	70	18	method	method	NOUN
ejpam-6042	70	19	with	with	ADP
ejpam-6042	70	20	high	high	ADJ
ejpam-6042	70	21	effectiveness	effectiveness	NOUN
ejpam-6042	70	22	and	and	CCONJ
ejpam-6042	70	23	accuracy	accuracy	NOUN
ejpam-6042	70	24	and	and	CCONJ
ejpam-6042	70	25	energy	energy	NOUN
ejpam-6042	70	26	conservation	conservation	NOUN
ejpam-6042	70	27	for	for	ADP
ejpam-6042	70	28	solving	solve	VERB
ejpam-6042	70	29	special	special	ADJ
ejpam-6042	70	30	classes	class	NOUN
ejpam-6042	70	31	of	of	ADP
ejpam-6042	70	32	second	second	ADJ
ejpam-6042	70	33	-	-	PUNCT
ejpam-6042	70	34	order	order	NOUN
ejpam-6042	70	35	periodic	periodic	ADJ
ejpam-6042	70	36	odes	ode	NOUN
ejpam-6042	70	37	like	like	ADP
ejpam-6042	70	38	(	(	PUNCT
ejpam-6042	70	39	1	1	NUM
ejpam-6042	70	40	)	)	PUNCT
ejpam-6042	70	41	.	.	PUNCT
ejpam-6042	71	1	in	in	ADP
ejpam-6042	71	2	sections	section	NOUN
ejpam-6042	71	3	2	2	NUM
ejpam-6042	71	4	and	and	CCONJ
ejpam-6042	71	5	3	3	NUM
ejpam-6042	71	6	we	we	PRON
ejpam-6042	71	7	construct	construct	VERB
ejpam-6042	71	8	a	a	DET
ejpam-6042	71	9	new	new	ADJ
ejpam-6042	71	10	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	71	11	)	)	PUNCT
ejpam-6042	71	12	method	method	NOUN
ejpam-6042	71	13	with	with	ADP
ejpam-6042	71	14	three	three	NUM
ejpam-6042	71	15	-	-	PUNCT
ejpam-6042	71	16	stage	stage	NOUN
ejpam-6042	71	17	and	and	CCONJ
ejpam-6042	71	18	fifthorder	fifthorder	NOUN
ejpam-6042	71	19	.	.	PUNCT
ejpam-6042	72	1	in	in	ADP
ejpam-6042	72	2	section	section	NOUN
ejpam-6042	72	3	4	4	NUM
ejpam-6042	72	4	we	we	PRON
ejpam-6042	72	5	apply	apply	VERB
ejpam-6042	72	6	the	the	DET
ejpam-6042	72	7	trigonometrically	trigonometrically	ADV
ejpam-6042	72	8	-	-	PUNCT
ejpam-6042	72	9	fitting	fit	VERB
ejpam-6042	72	10	technique	technique	NOUN
ejpam-6042	72	11	to	to	ADP
ejpam-6042	72	12	the	the	DET
ejpam-6042	72	13	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	72	14	)	)	PUNCT
ejpam-6042	72	15	z.	z.	PROPN
ejpam-6042	72	16	sun	sun	PROPN
ejpam-6042	72	17	et	et	PROPN
ejpam-6042	72	18	al	al	PROPN
ejpam-6042	72	19	.	.	PUNCT
ejpam-6042	72	20	/	/	SYM
ejpam-6042	72	21	eur	eur	PROPN
ejpam-6042	72	22	.	.	PUNCT
ejpam-6042	73	1	j.	j.	PROPN
ejpam-6042	73	2	pure	pure	PROPN
ejpam-6042	73	3	appl	appl	PROPN
ejpam-6042	73	4	.	.	PROPN
ejpam-6042	73	5	math	math	PROPN
ejpam-6042	73	6	,	,	PUNCT
ejpam-6042	73	7	18	18	NUM
ejpam-6042	73	8	(	(	PUNCT
ejpam-6042	73	9	4	4	NUM
ejpam-6042	73	10	)	)	PUNCT
ejpam-6042	73	11	(	(	PUNCT
ejpam-6042	73	12	2025	2025	NUM
ejpam-6042	73	13	)	)	PUNCT
ejpam-6042	73	14	,	,	PUNCT
ejpam-6042	73	15	6042	6042	NUM
ejpam-6042	73	16	4	4	NUM
ejpam-6042	73	17	of	of	ADP
ejpam-6042	73	18	45	45	NUM
ejpam-6042	73	19	method	method	NOUN
ejpam-6042	73	20	to	to	PART
ejpam-6042	73	21	derive	derive	VERB
ejpam-6042	73	22	the	the	DET
ejpam-6042	73	23	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	73	24	)	)	PUNCT
ejpam-6042	73	25	method	method	NOUN
ejpam-6042	73	26	,	,	PUNCT
ejpam-6042	73	27	which	which	PRON
ejpam-6042	73	28	constitutes	constitute	VERB
ejpam-6042	73	29	the	the	DET
ejpam-6042	73	30	primary	primary	ADJ
ejpam-6042	73	31	focus	focus	NOUN
ejpam-6042	73	32	of	of	ADP
ejpam-6042	73	33	this	this	DET
ejpam-6042	73	34	study	study	NOUN
ejpam-6042	73	35	.	.	PUNCT
ejpam-6042	74	1	in	in	ADP
ejpam-6042	74	2	section	section	NOUN
ejpam-6042	74	3	5	5	NUM
ejpam-6042	74	4	we	we	PRON
ejpam-6042	74	5	conduct	conduct	VERB
ejpam-6042	74	6	a	a	DET
ejpam-6042	74	7	thorough	thorough	ADJ
ejpam-6042	74	8	stability	stability	NOUN
ejpam-6042	74	9	analysis	analysis	NOUN
ejpam-6042	74	10	of	of	ADP
ejpam-6042	74	11	the	the	DET
ejpam-6042	74	12	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	74	13	)	)	PUNCT
ejpam-6042	74	14	method	method	NOUN
ejpam-6042	74	15	involving	involve	VERB
ejpam-6042	74	16	stability	stability	NOUN
ejpam-6042	74	17	matrix	matrix	NOUN
ejpam-6042	74	18	,	,	PUNCT
ejpam-6042	74	19	dispersion	dispersion	NOUN
ejpam-6042	74	20	and	and	CCONJ
ejpam-6042	74	21	dissipation	dissipation	NOUN
ejpam-6042	74	22	error	error	NOUN
ejpam-6042	74	23	analysis	analysis	NOUN
ejpam-6042	74	24	,	,	PUNCT
ejpam-6042	74	25	and	and	CCONJ
ejpam-6042	74	26	stability	stability	NOUN
ejpam-6042	74	27	properties	property	NOUN
ejpam-6042	74	28	and	and	CCONJ
ejpam-6042	74	29	regions	region	NOUN
ejpam-6042	74	30	.	.	PUNCT
ejpam-6042	75	1	in	in	ADP
ejpam-6042	75	2	section	section	NOUN
ejpam-6042	75	3	6	6	NUM
ejpam-6042	75	4	we	we	PRON
ejpam-6042	75	5	prove	prove	VERB
ejpam-6042	75	6	the	the	DET
ejpam-6042	75	7	algebraic	algebraic	ADJ
ejpam-6042	75	8	order	order	NOUN
ejpam-6042	75	9	of	of	ADP
ejpam-6042	75	10	the	the	DET
ejpam-6042	75	11	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	75	12	)	)	PUNCT
ejpam-6042	75	13	method	method	NOUN
ejpam-6042	75	14	is	be	AUX
ejpam-6042	75	15	5	5	NUM
ejpam-6042	75	16	.	.	PUNCT
ejpam-6042	76	1	in	in	ADP
ejpam-6042	76	2	sections	section	NOUN
ejpam-6042	76	3	7	7	NUM
ejpam-6042	76	4	and	and	CCONJ
ejpam-6042	76	5	8	8	NUM
ejpam-6042	76	6	we	we	PRON
ejpam-6042	76	7	conduct	conduct	VERB
ejpam-6042	76	8	numerical	numerical	ADJ
ejpam-6042	76	9	experiments	experiment	NOUN
ejpam-6042	76	10	for	for	ADP
ejpam-6042	76	11	the	the	DET
ejpam-6042	76	12	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	76	13	)	)	PUNCT
ejpam-6042	76	14	method	method	NOUN
ejpam-6042	76	15	against	against	ADP
ejpam-6042	76	16	error	error	NOUN
ejpam-6042	76	17	accuracy	accuracy	NOUN
ejpam-6042	76	18	,	,	PUNCT
ejpam-6042	76	19	number	number	NOUN
ejpam-6042	76	20	of	of	ADP
ejpam-6042	76	21	function	function	NOUN
ejpam-6042	76	22	evaluations	evaluation	NOUN
ejpam-6042	76	23	and	and	CCONJ
ejpam-6042	76	24	computational	computational	ADJ
ejpam-6042	76	25	time	time	NOUN
ejpam-6042	76	26	compared	compare	VERB
ejpam-6042	76	27	with	with	ADP
ejpam-6042	76	28	some	some	DET
ejpam-6042	76	29	existing	exist	VERB
ejpam-6042	76	30	similar	similar	ADJ
ejpam-6042	76	31	methods	method	NOUN
ejpam-6042	76	32	to	to	PART
ejpam-6042	76	33	demonstrate	demonstrate	VERB
ejpam-6042	76	34	that	that	SCONJ
ejpam-6042	76	35	the	the	DET
ejpam-6042	76	36	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	76	37	)	)	PUNCT
ejpam-6042	76	38	method	method	NOUN
ejpam-6042	76	39	has	have	VERB
ejpam-6042	76	40	higher	high	ADJ
ejpam-6042	76	41	accuracy	accuracy	NOUN
ejpam-6042	76	42	and	and	CCONJ
ejpam-6042	76	43	effectiveness	effectiveness	NOUN
ejpam-6042	76	44	.	.	PUNCT
ejpam-6042	77	1	in	in	ADP
ejpam-6042	77	2	section	section	NOUN
ejpam-6042	77	3	9	9	NUM
ejpam-6042	77	4	we	we	PRON
ejpam-6042	77	5	demonstrate	demonstrate	VERB
ejpam-6042	77	6	the	the	DET
ejpam-6042	77	7	enhanced	enhanced	ADJ
ejpam-6042	77	8	accuracy	accuracy	NOUN
ejpam-6042	77	9	and	and	CCONJ
ejpam-6042	77	10	energy	energy	NOUN
ejpam-6042	77	11	conservation	conservation	NOUN
ejpam-6042	77	12	of	of	ADP
ejpam-6042	77	13	the	the	DET
ejpam-6042	77	14	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	77	15	)	)	PUNCT
ejpam-6042	77	16	method	method	NOUN
ejpam-6042	77	17	,	,	PUNCT
ejpam-6042	77	18	which	which	PRON
ejpam-6042	77	19	is	be	AUX
ejpam-6042	77	20	achieved	achieve	VERB
ejpam-6042	77	21	by	by	ADP
ejpam-6042	77	22	employing	employ	VERB
ejpam-6042	77	23	the	the	DET
ejpam-6042	77	24	trigonometrical	trigonometrical	ADJ
ejpam-6042	77	25	integration	integration	NOUN
ejpam-6042	77	26	technique	technique	NOUN
ejpam-6042	77	27	.	.	PUNCT
ejpam-6042	78	1	section	section	NOUN
ejpam-6042	78	2	10	10	NUM
ejpam-6042	78	3	is	be	AUX
ejpam-6042	78	4	dedicated	dedicate	VERB
ejpam-6042	78	5	to	to	ADP
ejpam-6042	78	6	the	the	DET
ejpam-6042	78	7	concluding	concluding	NOUN
ejpam-6042	78	8	remarks	remark	VERB
ejpam-6042	78	9	.	.	PUNCT
ejpam-6042	79	1	2	2	X
ejpam-6042	79	2	.	.	X
ejpam-6042	79	3	the	the	DET
ejpam-6042	79	4	formulation	formulation	NOUN
ejpam-6042	79	5	of	of	ADP
ejpam-6042	79	6	the	the	DET
ejpam-6042	79	7	two	two	NUM
ejpam-6042	79	8	-	-	PUNCT
ejpam-6042	79	9	derivative	derivative	NOUN
ejpam-6042	79	10	runge	runge	NOUN
ejpam-6042	79	11	-	-	PUNCT
ejpam-6042	79	12	kutta	kutta	NOUN
ejpam-6042	79	13	-	-	PUNCT
ejpam-6042	79	14	nyström	nyström	NOUN
ejpam-6042	79	15	method	method	NOUN
ejpam-6042	79	16	the	the	DET
ejpam-6042	79	17	tdrkn	tdrkn	ADJ
ejpam-6042	79	18	method	method	NOUN
ejpam-6042	79	19	is	be	AUX
ejpam-6042	79	20	a	a	DET
ejpam-6042	79	21	numerical	numerical	ADJ
ejpam-6042	79	22	technique	technique	NOUN
ejpam-6042	79	23	designed	design	VERB
ejpam-6042	79	24	to	to	PART
ejpam-6042	79	25	solve	solve	VERB
ejpam-6042	79	26	second	second	ADJ
ejpam-6042	79	27	-	-	PUNCT
ejpam-6042	79	28	order	order	NOUN
ejpam-6042	79	29	odes	ode	NOUN
ejpam-6042	79	30	.	.	PUNCT
ejpam-6042	80	1	these	these	DET
ejpam-6042	80	2	methods	method	NOUN
ejpam-6042	80	3	are	be	AUX
ejpam-6042	80	4	extensions	extension	NOUN
ejpam-6042	80	5	of	of	ADP
ejpam-6042	80	6	standard	standard	ADJ
ejpam-6042	80	7	runge	runge	NOUN
ejpam-6042	80	8	-	-	PUNCT
ejpam-6042	80	9	kutta	kutta	NOUN
ejpam-6042	80	10	(	(	PUNCT
ejpam-6042	80	11	runge	runge	NOUN
ejpam-6042	80	12	-	-	PUNCT
ejpam-6042	80	13	kutta	kutta	NOUN
ejpam-6042	80	14	-	-	PUNCT
ejpam-6042	80	15	nyström	nyström	NUM
ejpam-6042	80	16	)	)	PUNCT
ejpam-6042	80	17	methods	method	NOUN
ejpam-6042	80	18	tailored	tailor	VERB
ejpam-6042	80	19	for	for	ADP
ejpam-6042	80	20	second	second	ADJ
ejpam-6042	80	21	-	-	PUNCT
ejpam-6042	80	22	order	order	NOUN
ejpam-6042	80	23	odes	ode	NOUN
ejpam-6042	80	24	(	(	PUNCT
ejpam-6042	80	25	system	system	NOUN
ejpam-6042	80	26	)	)	PUNCT
ejpam-6042	80	27	,	,	PUNCT
ejpam-6042	80	28	making	make	VERB
ejpam-6042	80	29	them	they	PRON
ejpam-6042	80	30	highly	highly	ADV
ejpam-6042	80	31	effective	effective	ADJ
ejpam-6042	80	32	for	for	ADP
ejpam-6042	80	33	problems	problem	NOUN
ejpam-6042	80	34	involving	involve	VERB
ejpam-6042	80	35	dynamics	dynamic	NOUN
ejpam-6042	80	36	like	like	ADP
ejpam-6042	80	37	mechanical	mechanical	ADJ
ejpam-6042	80	38	systems	system	NOUN
ejpam-6042	80	39	,	,	PUNCT
ejpam-6042	80	40	wave	wave	NOUN
ejpam-6042	80	41	motion	motion	NOUN
ejpam-6042	80	42	,	,	PUNCT
ejpam-6042	80	43	or	or	CCONJ
ejpam-6042	80	44	electrical	electrical	ADJ
ejpam-6042	80	45	circuits	circuit	NOUN
ejpam-6042	80	46	.	.	PUNCT
ejpam-6042	81	1	the	the	DET
ejpam-6042	81	2	key	key	ADJ
ejpam-6042	81	3	advantage	advantage	NOUN
ejpam-6042	81	4	of	of	ADP
ejpam-6042	81	5	tdrkn	tdrkn	ADJ
ejpam-6042	81	6	methods	method	NOUN
ejpam-6042	81	7	lies	lie	VERB
ejpam-6042	81	8	in	in	ADP
ejpam-6042	81	9	their	their	PRON
ejpam-6042	81	10	ability	ability	NOUN
ejpam-6042	81	11	to	to	PART
ejpam-6042	81	12	directly	directly	ADV
ejpam-6042	81	13	handle	handle	VERB
ejpam-6042	81	14	second	second	ADJ
ejpam-6042	81	15	-	-	PUNCT
ejpam-6042	81	16	order	order	NOUN
ejpam-6042	81	17	odes	ode	NOUN
ejpam-6042	81	18	by	by	ADP
ejpam-6042	81	19	using	use	VERB
ejpam-6042	81	20	both	both	CCONJ
ejpam-6042	81	21	position	position	NOUN
ejpam-6042	81	22	and	and	CCONJ
ejpam-6042	81	23	velocity	velocity	NOUN
ejpam-6042	81	24	(	(	PUNCT
ejpam-6042	81	25	or	or	CCONJ
ejpam-6042	81	26	their	their	PRON
ejpam-6042	81	27	equivalents	equivalent	NOUN
ejpam-6042	81	28	)	)	PUNCT
ejpam-6042	81	29	in	in	ADP
ejpam-6042	81	30	the	the	DET
ejpam-6042	81	31	system	system	NOUN
ejpam-6042	81	32	and	and	CCONJ
ejpam-6042	81	33	incorporate	incorporate	VERB
ejpam-6042	81	34	higher	high	ADJ
ejpam-6042	81	35	-	-	PUNCT
ejpam-6042	81	36	order	order	NOUN
ejpam-6042	81	37	accuracy	accuracy	NOUN
ejpam-6042	81	38	while	while	SCONJ
ejpam-6042	81	39	maintaining	maintain	VERB
ejpam-6042	81	40	computational	computational	ADJ
ejpam-6042	81	41	efficiency	efficiency	NOUN
ejpam-6042	81	42	,	,	PUNCT
ejpam-6042	81	43	leading	lead	VERB
ejpam-6042	81	44	to	to	ADP
ejpam-6042	81	45	greater	great	ADJ
ejpam-6042	81	46	efficiency	efficiency	NOUN
ejpam-6042	81	47	and	and	CCONJ
ejpam-6042	81	48	accuracy	accuracy	NOUN
ejpam-6042	81	49	compared	compare	VERB
ejpam-6042	81	50	to	to	ADP
ejpam-6042	81	51	traditional	traditional	ADJ
ejpam-6042	81	52	methods	method	NOUN
ejpam-6042	81	53	that	that	PRON
ejpam-6042	81	54	require	require	VERB
ejpam-6042	81	55	transforming	transform	VERB
ejpam-6042	81	56	the	the	DET
ejpam-6042	81	57	system	system	NOUN
ejpam-6042	81	58	into	into	ADP
ejpam-6042	81	59	a	a	DET
ejpam-6042	81	60	set	set	NOUN
ejpam-6042	81	61	of	of	ADP
ejpam-6042	81	62	first	first	ADJ
ejpam-6042	81	63	-	-	PUNCT
ejpam-6042	81	64	order	order	NOUN
ejpam-6042	81	65	equations	equation	NOUN
ejpam-6042	81	66	.	.	PUNCT
ejpam-6042	82	1	letting	let	VERB
ejpam-6042	82	2	u′′′	u′′′	PROPN
ejpam-6042	82	3	(	(	PUNCT
ejpam-6042	82	4	t	t	NOUN
ejpam-6042	82	5	)	)	PUNCT
ejpam-6042	82	6	=	=	SYM
ejpam-6042	82	7	g	g	PROPN
ejpam-6042	82	8	(	(	PUNCT
ejpam-6042	82	9	t	t	PROPN
ejpam-6042	82	10	,	,	PUNCT
ejpam-6042	82	11	u	u	PROPN
ejpam-6042	82	12	(	(	PUNCT
ejpam-6042	82	13	t	t	PROPN
ejpam-6042	82	14	)	)	PUNCT
ejpam-6042	82	15	,	,	PUNCT
ejpam-6042	82	16	u′	u′	PROPN
ejpam-6042	82	17	(	(	PUNCT
ejpam-6042	82	18	t	t	NOUN
ejpam-6042	82	19	)	)	PUNCT
ejpam-6042	82	20	)	)	PUNCT
ejpam-6042	82	21	and	and	CCONJ
ejpam-6042	82	22	combining	combine	VERB
ejpam-6042	82	23	u′′	u′′	PROPN
ejpam-6042	82	24	(	(	PUNCT
ejpam-6042	82	25	t	t	PROPN
ejpam-6042	82	26	)	)	PUNCT
ejpam-6042	82	27	=	=	SYM
ejpam-6042	82	28	f	f	PROPN
ejpam-6042	82	29	(	(	PUNCT
ejpam-6042	82	30	t	t	PROPN
ejpam-6042	82	31	,	,	PUNCT
ejpam-6042	82	32	u	u	PROPN
ejpam-6042	82	33	(	(	PUNCT
ejpam-6042	82	34	t	t	PROPN
ejpam-6042	82	35	)	)	PUNCT
ejpam-6042	82	36	)	)	PUNCT
ejpam-6042	82	37	in	in	ADP
ejpam-6042	82	38	the	the	DET
ejpam-6042	82	39	problem	problem	NOUN
ejpam-6042	82	40	(	(	PUNCT
ejpam-6042	82	41	1	1	NUM
ejpam-6042	82	42	)	)	PUNCT
ejpam-6042	82	43	,	,	PUNCT
ejpam-6042	82	44	we	we	PRON
ejpam-6042	82	45	can	can	AUX
ejpam-6042	82	46	convert	convert	VERB
ejpam-6042	82	47	this	this	DET
ejpam-6042	82	48	problem	problem	NOUN
ejpam-6042	82	49	to	to	ADP
ejpam-6042	82	50	the	the	DET
ejpam-6042	82	51	following	follow	VERB
ejpam-6042	82	52	form	form	NOUN
ejpam-6042	82	53	(	(	PUNCT
ejpam-6042	82	54	u′′	u′′	PROPN
ejpam-6042	82	55	(	(	PUNCT
ejpam-6042	82	56	t	t	PROPN
ejpam-6042	82	57	)	)	PUNCT
ejpam-6042	82	58	f	f	PROPN
ejpam-6042	83	1	′	′	NUM
ejpam-6042	83	2	(	(	PUNCT
ejpam-6042	83	3	t	t	PROPN
ejpam-6042	83	4	,	,	PUNCT
ejpam-6042	83	5	u	u	PROPN
ejpam-6042	83	6	(	(	PUNCT
ejpam-6042	83	7	t	t	PROPN
ejpam-6042	83	8	)	)	PUNCT
ejpam-6042	83	9	)	)	PUNCT
ejpam-6042	83	10	)	)	PUNCT
ejpam-6042	84	1	=	=	PUNCT
ejpam-6042	84	2	(	(	PUNCT
ejpam-6042	84	3	f	f	X
ejpam-6042	84	4	(	(	PUNCT
ejpam-6042	84	5	t	t	PROPN
ejpam-6042	84	6	,	,	PUNCT
ejpam-6042	84	7	u	u	PROPN
ejpam-6042	84	8	(	(	PUNCT
ejpam-6042	84	9	t	t	PROPN
ejpam-6042	84	10	)	)	PUNCT
ejpam-6042	84	11	)	)	PUNCT
ejpam-6042	85	1	g	g	PROPN
ejpam-6042	85	2	(	(	PUNCT
ejpam-6042	85	3	t	t	PROPN
ejpam-6042	85	4	,	,	PUNCT
ejpam-6042	85	5	u	u	PROPN
ejpam-6042	85	6	(	(	PUNCT
ejpam-6042	85	7	t	t	PROPN
ejpam-6042	85	8	)	)	PUNCT
ejpam-6042	85	9	,	,	PUNCT
ejpam-6042	85	10	u′	u′	PROPN
ejpam-6042	85	11	(	(	PUNCT
ejpam-6042	85	12	t	t	PROPN
ejpam-6042	85	13	)	)	PUNCT
ejpam-6042	85	14	)	)	PUNCT
ejpam-6042	85	15	)	)	PUNCT
ejpam-6042	85	16	,	,	PUNCT
ejpam-6042	85	17	(	(	PUNCT
ejpam-6042	85	18	u	u	PROPN
ejpam-6042	85	19	(	(	PUNCT
ejpam-6042	85	20	t0	t0	PROPN
ejpam-6042	85	21	)	)	PUNCT
ejpam-6042	85	22	f	f	PROPN
ejpam-6042	85	23	(	(	PUNCT
ejpam-6042	85	24	t0	t0	PROPN
ejpam-6042	85	25	,	,	PUNCT
ejpam-6042	85	26	u	u	PROPN
ejpam-6042	85	27	(	(	PUNCT
ejpam-6042	85	28	t0	t0	NOUN
ejpam-6042	85	29	)	)	PUNCT
ejpam-6042	85	30	)	)	PUNCT
ejpam-6042	85	31	)	)	PUNCT
ejpam-6042	86	1	=	=	PUNCT
ejpam-6042	86	2	(	(	PUNCT
ejpam-6042	86	3	u0	u0	ADJ
ejpam-6042	86	4	u′′0	u′′0	ADV
ejpam-6042	86	5	)	)	PUNCT
ejpam-6042	86	6	.	.	PUNCT
ejpam-6042	87	1	(	(	PUNCT
ejpam-6042	87	2	2	2	X
ejpam-6042	87	3	)	)	PUNCT
ejpam-6042	87	4	the	the	DET
ejpam-6042	87	5	two	two	NUM
ejpam-6042	87	6	-	-	PUNCT
ejpam-6042	87	7	derivative	derivative	NOUN
ejpam-6042	87	8	runge	runge	NOUN
ejpam-6042	87	9	-	-	PUNCT
ejpam-6042	87	10	kutta	kutta	NOUN
ejpam-6042	87	11	-	-	PUNCT
ejpam-6042	87	12	nyström	nyström	NOUN
ejpam-6042	87	13	(	(	PUNCT
ejpam-6042	87	14	tdrkn(5	tdrkn(5	NOUN
ejpam-6042	87	15	)	)	PUNCT
ejpam-6042	87	16	)	)	PUNCT
ejpam-6042	87	17	method	method	NOUN
ejpam-6042	87	18	with	with	ADP
ejpam-6042	87	19	s	s	NOUN
ejpam-6042	87	20	-	-	NOUN
ejpam-6042	87	21	stage	stage	NOUN
ejpam-6042	87	22	,	,	PUNCT
ejpam-6042	87	23	which	which	PRON
ejpam-6042	87	24	is	be	AUX
ejpam-6042	87	25	developed	develop	VERB
ejpam-6042	87	26	by	by	ADP
ejpam-6042	87	27	incorporating	incorporate	VERB
ejpam-6042	87	28	the	the	DET
ejpam-6042	87	29	third	third	ADJ
ejpam-6042	87	30	derivative	derivative	NOUN
ejpam-6042	87	31	,	,	PUNCT
ejpam-6042	87	32	u	u	PROPN
ejpam-6042	87	33	′′′	′′′	PROPN
ejpam-6042	87	34	(	(	PUNCT
ejpam-6042	87	35	t	t	PROPN
ejpam-6042	87	36	)	)	PUNCT
ejpam-6042	87	37	into	into	ADP
ejpam-6042	87	38	the	the	DET
ejpam-6042	87	39	formulation	formulation	NOUN
ejpam-6042	87	40	,	,	PUNCT
ejpam-6042	87	41	is	be	AUX
ejpam-6042	87	42	illustrated	illustrate	VERB
ejpam-6042	87	43	as	as	ADP
ejpam-6042	87	44	un+1	un+1	NOUN
ejpam-6042	87	45	=	=	SYM
ejpam-6042	87	46	un	un	PROPN
ejpam-6042	87	47	+	+	CCONJ
ejpam-6042	87	48	hu′n	hu′n	NOUN
ejpam-6042	87	49	+	+	CCONJ
ejpam-6042	87	50	h2	h2	NOUN
ejpam-6042	87	51	2	2	NUM
ejpam-6042	87	52	f	f	PROPN
ejpam-6042	87	53	(	(	PUNCT
ejpam-6042	87	54	tn	tn	PROPN
ejpam-6042	87	55	,	,	PUNCT
ejpam-6042	87	56	un	un	ADJ
ejpam-6042	87	57	)	)	PUNCT
ejpam-6042	87	58	+	+	NUM
ejpam-6042	87	59	h3	h3	NOUN
ejpam-6042	88	1	s∑	s∑	PROPN
ejpam-6042	88	2	i=1	i=1	PROPN
ejpam-6042	89	1	d̄ig	d̄ig	PROPN
ejpam-6042	89	2	(	(	PUNCT
ejpam-6042	89	3	tn	tn	NOUN
ejpam-6042	89	4	+	+	CCONJ
ejpam-6042	89	5	cih	cih	PROPN
ejpam-6042	89	6	,	,	PUNCT
ejpam-6042	89	7	ui	ui	PROPN
ejpam-6042	89	8	,	,	PUNCT
ejpam-6042	89	9	u	u	NOUN
ejpam-6042	89	10	′	′	NUM
ejpam-6042	89	11	i	i	NOUN
ejpam-6042	89	12	)	)	PUNCT
ejpam-6042	89	13	,	,	PUNCT
ejpam-6042	89	14	u′n+1	u′n+1	PROPN
ejpam-6042	89	15	=	=	PUNCT
ejpam-6042	90	1	u′n	u′n	PROPN
ejpam-6042	90	2	+	+	CCONJ
ejpam-6042	90	3	hf	hf	PROPN
ejpam-6042	90	4	(	(	PUNCT
ejpam-6042	90	5	tn	tn	PROPN
ejpam-6042	90	6	,	,	PUNCT
ejpam-6042	90	7	un	un	ADJ
ejpam-6042	90	8	)	)	PUNCT
ejpam-6042	90	9	+	+	NUM
ejpam-6042	90	10	h2	h2	NOUN
ejpam-6042	90	11	s∑	s∑	PROPN
ejpam-6042	90	12	i=1	i=1	PROPN
ejpam-6042	91	1	d̃ig	d̃ig	PROPN
ejpam-6042	91	2	(	(	PUNCT
ejpam-6042	91	3	tn	tn	NOUN
ejpam-6042	91	4	+	+	CCONJ
ejpam-6042	91	5	cih	cih	PROPN
ejpam-6042	91	6	,	,	PUNCT
ejpam-6042	91	7	ui	ui	PROPN
ejpam-6042	91	8	,	,	PUNCT
ejpam-6042	91	9	u	u	NOUN
ejpam-6042	91	10	′	′	NUM
ejpam-6042	91	11	i	i	NOUN
ejpam-6042	91	12	)	)	PUNCT
ejpam-6042	91	13	,	,	PUNCT
ejpam-6042	91	14	ui	ui	PROPN
ejpam-6042	92	1	=	=	PUNCT
ejpam-6042	92	2	un	un	PROPN
ejpam-6042	92	3	+	+	CCONJ
ejpam-6042	92	4	cihu	cihu	PROPN
ejpam-6042	92	5	′	′	PROPN
ejpam-6042	93	1	n	n	PROPN
ejpam-6042	93	2	+	+	CCONJ
ejpam-6042	93	3	1	1	NUM
ejpam-6042	93	4	2	2	NUM
ejpam-6042	93	5	(	(	PUNCT
ejpam-6042	93	6	cih	cih	NOUN
ejpam-6042	93	7	)	)	PUNCT
ejpam-6042	93	8	2f	2f	NUM
ejpam-6042	93	9	(	(	PUNCT
ejpam-6042	93	10	tn	tn	PROPN
ejpam-6042	93	11	,	,	PUNCT
ejpam-6042	93	12	un	un	ADJ
ejpam-6042	93	13	)	)	PUNCT
ejpam-6042	93	14	+	+	NUM
ejpam-6042	93	15	h3	h3	NOUN
ejpam-6042	93	16	s∑	s∑	PROPN
ejpam-6042	93	17	i=1	i=1	PRON
ejpam-6042	93	18	āijg	āijg	PROPN
ejpam-6042	93	19	(	(	PUNCT
ejpam-6042	93	20	tn	tn	PROPN
ejpam-6042	93	21	+	+	CCONJ
ejpam-6042	93	22	cih	cih	PROPN
ejpam-6042	93	23	,	,	PUNCT
ejpam-6042	93	24	uj	uj	PROPN
ejpam-6042	93	25	,	,	PUNCT
ejpam-6042	93	26	u	u	NOUN
ejpam-6042	93	27	′	′	PROPN
ejpam-6042	93	28	j	j	PROPN
ejpam-6042	93	29	)	)	PUNCT
ejpam-6042	93	30	,	,	PUNCT
ejpam-6042	93	31	u	u	NOUN
ejpam-6042	93	32	′	′	NOUN
ejpam-6042	94	1	i	i	NOUN
ejpam-6042	94	2	=	=	PUNCT
ejpam-6042	95	1	u′n	u′n	PROPN
ejpam-6042	95	2	+	+	CCONJ
ejpam-6042	95	3	cihf	cihf	PROPN
ejpam-6042	95	4	(	(	PUNCT
ejpam-6042	95	5	tn	tn	PROPN
ejpam-6042	95	6	,	,	PUNCT
ejpam-6042	95	7	un	un	PROPN
ejpam-6042	95	8	)	)	PUNCT
ejpam-6042	96	1	+	+	NUM
ejpam-6042	96	2	h2	h2	NOUN
ejpam-6042	96	3	s∑	s∑	PROPN
ejpam-6042	97	1	i=1	i=1	PROPN
ejpam-6042	98	1	ãijg	ãijg	NOUN
ejpam-6042	98	2	(	(	PUNCT
ejpam-6042	98	3	tn	tn	PROPN
ejpam-6042	98	4	+	+	CCONJ
ejpam-6042	98	5	cih	cih	PROPN
ejpam-6042	98	6	,	,	PUNCT
ejpam-6042	98	7	uj	uj	PROPN
ejpam-6042	98	8	,	,	PUNCT
ejpam-6042	98	9	u	u	NOUN
ejpam-6042	98	10	′	′	PROPN
ejpam-6042	98	11	j	j	PROPN
ejpam-6042	98	12	)	)	PUNCT
ejpam-6042	98	13	,	,	PUNCT
ejpam-6042	98	14	(	(	PUNCT
ejpam-6042	98	15	3	3	X
ejpam-6042	98	16	)	)	PUNCT
ejpam-6042	98	17	z.	z.	PROPN
ejpam-6042	98	18	sun	sun	PROPN
ejpam-6042	98	19	et	et	PROPN
ejpam-6042	98	20	al	al	PROPN
ejpam-6042	98	21	.	.	PUNCT
ejpam-6042	98	22	/	/	SYM
ejpam-6042	98	23	eur	eur	PROPN
ejpam-6042	98	24	.	.	PUNCT
ejpam-6042	99	1	j.	j.	PROPN
ejpam-6042	99	2	pure	pure	PROPN
ejpam-6042	99	3	appl	appl	PROPN
ejpam-6042	99	4	.	.	PROPN
ejpam-6042	99	5	math	math	PROPN
ejpam-6042	99	6	,	,	PUNCT
ejpam-6042	99	7	18	18	NUM
ejpam-6042	99	8	(	(	PUNCT
ejpam-6042	99	9	4	4	NUM
ejpam-6042	99	10	)	)	PUNCT
ejpam-6042	99	11	(	(	PUNCT
ejpam-6042	99	12	2025	2025	NUM
ejpam-6042	99	13	)	)	PUNCT
ejpam-6042	99	14	,	,	PUNCT
ejpam-6042	99	15	6042	6042	NUM
ejpam-6042	99	16	5	5	NUM
ejpam-6042	99	17	of	of	ADP
ejpam-6042	99	18	45	45	NUM
ejpam-6042	99	19	where	where	SCONJ
ejpam-6042	99	20	ci	ci	NOUN
ejpam-6042	99	21	,	,	PUNCT
ejpam-6042	99	22	d̄i	d̄i	PROPN
ejpam-6042	99	23	,	,	PUNCT
ejpam-6042	99	24	d̃i	d̃i	NOUN
ejpam-6042	99	25	,	,	PUNCT
ejpam-6042	99	26	āij	āij	PROPN
ejpam-6042	99	27	,	,	PUNCT
ejpam-6042	99	28	ãij	ãij	PROPN
ejpam-6042	99	29	,	,	PUNCT
ejpam-6042	99	30	i	i	PRON
ejpam-6042	99	31	=	=	NOUN
ejpam-6042	99	32	1	1	NUM
ejpam-6042	99	33	,	,	PUNCT
ejpam-6042	99	34	·	·	PUNCT
ejpam-6042	99	35	·	·	PUNCT
ejpam-6042	99	36	·	·	PUNCT
ejpam-6042	99	37	,	,	PUNCT
ejpam-6042	99	38	s	s	VERB
ejpam-6042	99	39	are	be	AUX
ejpam-6042	99	40	real	real	ADJ
ejpam-6042	99	41	numbers	number	NOUN
ejpam-6042	99	42	.	.	PUNCT
ejpam-6042	100	1	the	the	DET
ejpam-6042	100	2	scheme	scheme	NOUN
ejpam-6042	100	3	(	(	PUNCT
ejpam-6042	100	4	3	3	X
ejpam-6042	100	5	)	)	PUNCT
ejpam-6042	100	6	can	can	AUX
ejpam-6042	100	7	be	be	AUX
ejpam-6042	100	8	expressed	express	VERB
ejpam-6042	100	9	as	as	ADP
ejpam-6042	100	10	in	in	ADP
ejpam-6042	100	11	kronecker	kronecker	NOUN
ejpam-6042	100	12	’s	’s	PART
ejpam-6042	100	13	block	block	NOUN
ejpam-6042	100	14	product	product	NOUN
ejpam-6042	100	15	notation	notation	NOUN
ejpam-6042	100	16	:	:	PUNCT
ejpam-6042	100	17	un+1	un+1	PROPN
ejpam-6042	100	18	=	=	SYM
ejpam-6042	100	19	un	un	PROPN
ejpam-6042	100	20	+	+	CCONJ
ejpam-6042	100	21	hu′n	hu′n	NOUN
ejpam-6042	100	22	+	+	CCONJ
ejpam-6042	100	23	h2	h2	NOUN
ejpam-6042	100	24	2	2	NUM
ejpam-6042	100	25	f	f	PROPN
ejpam-6042	100	26	(	(	PUNCT
ejpam-6042	100	27	tn	tn	PROPN
ejpam-6042	100	28	,	,	PUNCT
ejpam-6042	100	29	un	un	ADJ
ejpam-6042	100	30	)	)	PUNCT
ejpam-6042	100	31	+	+	NUM
ejpam-6042	100	32	h3	h3	NOUN
ejpam-6042	100	33	(	(	PUNCT
ejpam-6042	100	34	d̄⊗	d̄⊗	PROPN
ejpam-6042	100	35	ik×k	ik×k	ADJ
ejpam-6042	100	36	)	)	PUNCT
ejpam-6042	100	37	g	g	PROPN
ejpam-6042	100	38	(	(	PUNCT
ejpam-6042	100	39	u	u	PROPN
ejpam-6042	100	40	,	,	PUNCT
ejpam-6042	100	41	u	u	NOUN
ejpam-6042	100	42	′	′	NOUN
ejpam-6042	100	43	)	)	PUNCT
ejpam-6042	100	44	,	,	PUNCT
ejpam-6042	100	45	u′n+1	u′n+1	PROPN
ejpam-6042	100	46	=	=	PUNCT
ejpam-6042	101	1	u′n	u′n	PROPN
ejpam-6042	101	2	+	+	CCONJ
ejpam-6042	101	3	hf	hf	PROPN
ejpam-6042	101	4	(	(	PUNCT
ejpam-6042	101	5	tn	tn	PROPN
ejpam-6042	101	6	,	,	PUNCT
ejpam-6042	101	7	un	un	ADJ
ejpam-6042	101	8	)	)	PUNCT
ejpam-6042	101	9	+	+	NUM
ejpam-6042	101	10	h2	h2	NOUN
ejpam-6042	101	11	(	(	PUNCT
ejpam-6042	101	12	d̃⊗	d̃⊗	VERB
ejpam-6042	101	13	ik×k	ik×k	ADJ
ejpam-6042	101	14	)	)	PUNCT
ejpam-6042	101	15	g	g	PROPN
ejpam-6042	101	16	(	(	PUNCT
ejpam-6042	101	17	u	u	PROPN
ejpam-6042	101	18	,	,	PUNCT
ejpam-6042	101	19	u	u	NOUN
ejpam-6042	101	20	′	′	NOUN
ejpam-6042	101	21	)	)	PUNCT
ejpam-6042	101	22	,	,	PUNCT
ejpam-6042	101	23	u	u	NOUN
ejpam-6042	101	24	=	=	SYM
ejpam-6042	101	25	un	un	PROPN
ejpam-6042	102	1	+	+	CCONJ
ejpam-6042	102	2	h	h	PROPN
ejpam-6042	102	3	(	(	PUNCT
ejpam-6042	102	4	c⊗	c⊗	NOUN
ejpam-6042	102	5	u′n	u′n	ADV
ejpam-6042	102	6	)	)	PUNCT
ejpam-6042	102	7	+	+	CCONJ
ejpam-6042	102	8	1	1	NUM
ejpam-6042	102	9	2	2	NUM
ejpam-6042	102	10	h2	h2	NOUN
ejpam-6042	102	11	(	(	PUNCT
ejpam-6042	102	12	cct	cct	PROPN
ejpam-6042	102	13	⊗	⊗	PROPN
ejpam-6042	102	14	f	f	PROPN
ejpam-6042	102	15	(	(	PUNCT
ejpam-6042	102	16	tn	tn	PROPN
ejpam-6042	102	17	,	,	PUNCT
ejpam-6042	102	18	un	un	PROPN
ejpam-6042	102	19	)	)	PUNCT
ejpam-6042	102	20	)	)	PUNCT
ejpam-6042	103	1	+	+	NUM
ejpam-6042	103	2	h3	h3	NOUN
ejpam-6042	103	3	(	(	PUNCT
ejpam-6042	103	4	ā⊗	ā⊗	PROPN
ejpam-6042	103	5	ik×k	ik×k	ADJ
ejpam-6042	103	6	)	)	PUNCT
ejpam-6042	103	7	g	g	PROPN
ejpam-6042	103	8	(	(	PUNCT
ejpam-6042	103	9	u	u	PROPN
ejpam-6042	103	10	,	,	PUNCT
ejpam-6042	103	11	u	u	NOUN
ejpam-6042	103	12	′	′	NOUN
ejpam-6042	103	13	)	)	PUNCT
ejpam-6042	103	14	,	,	PUNCT
ejpam-6042	103	15	u	u	NOUN
ejpam-6042	103	16	′	′	NUM
ejpam-6042	103	17	=	=	SYM
ejpam-6042	103	18	e⊗	e⊗	PROPN
ejpam-6042	103	19	u′n	u′n	ADV
ejpam-6042	103	20	+	+	CCONJ
ejpam-6042	103	21	h	h	NOUN
ejpam-6042	103	22	(	(	PUNCT
ejpam-6042	103	23	ct	ct	PROPN
ejpam-6042	103	24	⊗	⊗	PROPN
ejpam-6042	103	25	f	f	PROPN
ejpam-6042	103	26	(	(	PUNCT
ejpam-6042	103	27	tn	tn	PROPN
ejpam-6042	103	28	,	,	PUNCT
ejpam-6042	103	29	un	un	PROPN
ejpam-6042	103	30	)	)	PUNCT
ejpam-6042	103	31	)	)	PUNCT
ejpam-6042	104	1	+	+	CCONJ
ejpam-6042	104	2	h2	h2	NOUN
ejpam-6042	104	3	(	(	PUNCT
ejpam-6042	104	4	ã⊗	ã⊗	PROPN
ejpam-6042	104	5	ik×k	ik×k	ADJ
ejpam-6042	104	6	)	)	PUNCT
ejpam-6042	104	7	g	g	PROPN
ejpam-6042	104	8	(	(	PUNCT
ejpam-6042	104	9	u	u	PROPN
ejpam-6042	104	10	,	,	PUNCT
ejpam-6042	104	11	u	u	NOUN
ejpam-6042	104	12	′	′	NOUN
ejpam-6042	104	13	)	)	PUNCT
ejpam-6042	104	14	,	,	PUNCT
ejpam-6042	104	15	(	(	PUNCT
ejpam-6042	104	16	4	4	X
ejpam-6042	104	17	)	)	PUNCT
ejpam-6042	104	18	where	where	SCONJ
ejpam-6042	104	19	e	e	NOUN
ejpam-6042	104	20	=	=	SYM
ejpam-6042	104	21	(	(	PUNCT
ejpam-6042	104	22	1	1	NUM
ejpam-6042	104	23	,	,	PUNCT
ejpam-6042	104	24	·	·	PUNCT
ejpam-6042	104	25	·	·	PUNCT
ejpam-6042	104	26	·	·	PUNCT
ejpam-6042	104	27	,	,	PUNCT
ejpam-6042	104	28	1)t	1)t	PROPN
ejpam-6042	104	29	,	,	PUNCT
ejpam-6042	104	30	c	c	PROPN
ejpam-6042	104	31	=	=	SYM
ejpam-6042	104	32	(	(	PUNCT
ejpam-6042	104	33	c1	c1	PROPN
ejpam-6042	104	34	,	,	PUNCT
ejpam-6042	104	35	·	·	PUNCT
ejpam-6042	104	36	·	·	PUNCT
ejpam-6042	104	37	·	·	PUNCT
ejpam-6042	104	38	,	,	PUNCT
ejpam-6042	104	39	cs)t	cs)t	PROPN
ejpam-6042	104	40	,	,	PUNCT
ejpam-6042	104	41	d̄	d̄	NOUN
ejpam-6042	104	42	=	=	SYM
ejpam-6042	104	43	(	(	PUNCT
ejpam-6042	104	44	d̄1	d̄1	NUM
ejpam-6042	104	45	,	,	PUNCT
ejpam-6042	104	46	·	·	PUNCT
ejpam-6042	104	47	·	·	PUNCT
ejpam-6042	104	48	·	·	PUNCT
ejpam-6042	104	49	,	,	PUNCT
ejpam-6042	104	50	d̄s	d̄s	PROPN
ejpam-6042	104	51	)	)	PUNCT
ejpam-6042	104	52	,	,	PUNCT
ejpam-6042	104	53	d̃	d̃	PROPN
ejpam-6042	104	54	=	=	SYM
ejpam-6042	104	55	(	(	PUNCT
ejpam-6042	104	56	d̃1	d̃1	PROPN
ejpam-6042	104	57	,	,	PUNCT
ejpam-6042	104	58	·	·	PUNCT
ejpam-6042	104	59	·	·	PUNCT
ejpam-6042	104	60	·	·	PUNCT
ejpam-6042	104	61	,	,	PUNCT
ejpam-6042	104	62	d̃s	d̃s	PROPN
ejpam-6042	104	63	)	)	PUNCT
ejpam-6042	104	64	are	be	AUX
ejpam-6042	104	65	sdimensional	sdimensional	ADJ
ejpam-6042	104	66	vectors	vector	NOUN
ejpam-6042	104	67	,	,	PUNCT
ejpam-6042	104	68	ā	ā	NOUN
ejpam-6042	104	69	=	=	SYM
ejpam-6042	104	70	(	(	PUNCT
ejpam-6042	104	71	āij	āij	PROPN
ejpam-6042	104	72	)	)	PUNCT
ejpam-6042	105	1	s×s	s×s	PROPN
ejpam-6042	105	2	,	,	PUNCT
ejpam-6042	105	3	ã	ã	PROPN
ejpam-6042	105	4	=	=	SYM
ejpam-6042	105	5	(	(	PUNCT
ejpam-6042	105	6	ãij	ãij	PROPN
ejpam-6042	105	7	)	)	PUNCT
ejpam-6042	106	1	s×s	s×s	PROPN
ejpam-6042	106	2	are	be	AUX
ejpam-6042	106	3	s	s	PRON
ejpam-6042	106	4	×	×	NOUN
ejpam-6042	106	5	s	s	NOUN
ejpam-6042	106	6	matrices	matrix	NOUN
ejpam-6042	106	7	and	and	CCONJ
ejpam-6042	106	8	ik×k	ik×k	NOUN
ejpam-6042	106	9	is	be	AUX
ejpam-6042	106	10	k	k	PROPN
ejpam-6042	106	11	×	×	PROPN
ejpam-6042	106	12	k	k	PROPN
ejpam-6042	106	13	identity	identity	NOUN
ejpam-6042	106	14	matrix	matrix	NOUN
ejpam-6042	106	15	.	.	PUNCT
ejpam-6042	107	1	the	the	DET
ejpam-6042	107	2	block	block	NOUN
ejpam-6042	107	3	vectors	vector	NOUN
ejpam-6042	107	4	in	in	ADP
ejpam-6042	107	5	rs×k	rs×k	NOUN
ejpam-6042	107	6	are	be	AUX
ejpam-6042	107	7	u	u	NOUN
ejpam-6042	107	8	=	=	PUNCT
ejpam-6042	107	9	(	(	PUNCT
ejpam-6042	107	10	u1	u1	PROPN
ejpam-6042	107	11	,	,	PUNCT
ejpam-6042	107	12	·	·	PUNCT
ejpam-6042	107	13	·	·	PUNCT
ejpam-6042	107	14	·	·	PUNCT
ejpam-6042	107	15	,	,	PUNCT
ejpam-6042	107	16	us	we	PRON
ejpam-6042	107	17	)	)	PUNCT
ejpam-6042	107	18	,	,	PUNCT
ejpam-6042	107	19	u	u	NOUN
ejpam-6042	107	20	′	′	NOUN
ejpam-6042	108	1	=	=	PUNCT
ejpam-6042	108	2	(	(	PUNCT
ejpam-6042	108	3	u	u	NOUN
ejpam-6042	108	4	′	′	NOUN
ejpam-6042	108	5	1	1	NUM
ejpam-6042	108	6	,	,	PUNCT
ejpam-6042	108	7	·	·	PUNCT
ejpam-6042	108	8	·	·	PUNCT
ejpam-6042	108	9	·	·	PUNCT
ejpam-6042	108	10	,	,	PUNCT
ejpam-6042	108	11	u	u	NOUN
ejpam-6042	108	12	′	′	NUM
ejpam-6042	108	13	s	s	NOUN
ejpam-6042	108	14	)	)	PUNCT
ejpam-6042	108	15	,	,	PUNCT
ejpam-6042	108	16	g	g	PROPN
ejpam-6042	108	17	(	(	PUNCT
ejpam-6042	108	18	u	u	NOUN
ejpam-6042	108	19	,	,	PUNCT
ejpam-6042	108	20	u	u	NOUN
ejpam-6042	108	21	′	′	NOUN
ejpam-6042	108	22	)	)	PUNCT
ejpam-6042	108	23	=	=	PRON
ejpam-6042	108	24	(	(	PUNCT
ejpam-6042	108	25	g	g	PROPN
ejpam-6042	108	26	(	(	PUNCT
ejpam-6042	108	27	t0	t0	PROPN
ejpam-6042	108	28	+	+	CCONJ
ejpam-6042	108	29	c1h	c1h	ADJ
ejpam-6042	108	30	,	,	PUNCT
ejpam-6042	108	31	u1	u1	NOUN
ejpam-6042	108	32	,	,	PUNCT
ejpam-6042	108	33	u	u	NOUN
ejpam-6042	108	34	′	′	NOUN
ejpam-6042	108	35	1	1	NUM
ejpam-6042	108	36	)	)	PUNCT
ejpam-6042	108	37	,	,	PUNCT
ejpam-6042	108	38	·	·	PUNCT
ejpam-6042	108	39	·	·	PUNCT
ejpam-6042	108	40	·	·	PUNCT
ejpam-6042	108	41	,	,	PUNCT
ejpam-6042	108	42	g	g	PROPN
ejpam-6042	108	43	(	(	PUNCT
ejpam-6042	108	44	t0	t0	PROPN
ejpam-6042	108	45	+	+	CCONJ
ejpam-6042	108	46	csh	csh	PROPN
ejpam-6042	108	47	,	,	PUNCT
ejpam-6042	108	48	us	we	PRON
ejpam-6042	108	49	,	,	PUNCT
ejpam-6042	108	50	u	u	NOUN
ejpam-6042	108	51	′	′	NUM
ejpam-6042	108	52	s	s	NOUN
ejpam-6042	108	53	)	)	PUNCT
ejpam-6042	108	54	)	)	PUNCT
ejpam-6042	108	55	.	.	PUNCT
ejpam-6042	109	1	(	(	PUNCT
ejpam-6042	109	2	5	5	X
ejpam-6042	109	3	)	)	PUNCT
ejpam-6042	109	4	an	an	DET
ejpam-6042	109	5	alternative	alternative	ADJ
ejpam-6042	109	6	expression	expression	NOUN
ejpam-6042	109	7	of	of	ADP
ejpam-6042	109	8	the	the	DET
ejpam-6042	109	9	scheme	scheme	NOUN
ejpam-6042	109	10	(	(	PUNCT
ejpam-6042	109	11	3	3	NUM
ejpam-6042	109	12	)	)	PUNCT
ejpam-6042	109	13	is	be	AUX
ejpam-6042	109	14	given	give	VERB
ejpam-6042	109	15	as	as	SCONJ
ejpam-6042	109	16	follows	follow	VERB
ejpam-6042	109	17	:	:	PUNCT
ejpam-6042	109	18	un+1	un+1	PROPN
ejpam-6042	109	19	=	=	SYM
ejpam-6042	109	20	un	un	PROPN
ejpam-6042	109	21	+	+	CCONJ
ejpam-6042	109	22	hu′n	hu′n	NOUN
ejpam-6042	109	23	+	+	CCONJ
ejpam-6042	109	24	h2	h2	NOUN
ejpam-6042	109	25	2	2	NUM
ejpam-6042	109	26	f	f	PROPN
ejpam-6042	109	27	(	(	PUNCT
ejpam-6042	109	28	tn	tn	PROPN
ejpam-6042	109	29	,	,	PUNCT
ejpam-6042	109	30	un	un	ADJ
ejpam-6042	109	31	)	)	PUNCT
ejpam-6042	109	32	+	+	NUM
ejpam-6042	109	33	h3	h3	NOUN
ejpam-6042	109	34	s∑	s∑	PROPN
ejpam-6042	109	35	i=1	i=1	PROPN
ejpam-6042	109	36	d̄ili	d̄ili	PROPN
ejpam-6042	109	37	,	,	PUNCT
ejpam-6042	109	38	u′n+1	u′n+1	PROPN
ejpam-6042	109	39	=	=	PUNCT
ejpam-6042	110	1	u′n	u′n	PROPN
ejpam-6042	110	2	+	+	CCONJ
ejpam-6042	110	3	hf	hf	PROPN
ejpam-6042	110	4	(	(	PUNCT
ejpam-6042	110	5	tn	tn	PROPN
ejpam-6042	110	6	,	,	PUNCT
ejpam-6042	110	7	un	un	ADJ
ejpam-6042	110	8	)	)	PUNCT
ejpam-6042	110	9	+	+	NUM
ejpam-6042	110	10	h2	h2	NOUN
ejpam-6042	110	11	s∑	s∑	PROPN
ejpam-6042	110	12	i=1	i=1	PROPN
ejpam-6042	110	13	d̃ili	d̃ili	PROPN
ejpam-6042	110	14	,	,	PUNCT
ejpam-6042	110	15	(	(	PUNCT
ejpam-6042	110	16	6	6	NUM
ejpam-6042	110	17	)	)	PUNCT
ejpam-6042	110	18	where	where	SCONJ
ejpam-6042	110	19	li	li	PROPN
ejpam-6042	110	20	=	=	PROPN
ejpam-6042	110	21	g	g	PROPN
ejpam-6042	110	22	(	(	PUNCT
ejpam-6042	110	23	tn	tn	PROPN
ejpam-6042	110	24	+	+	CCONJ
ejpam-6042	110	25	cih	cih	PROPN
ejpam-6042	110	26	,	,	PUNCT
ejpam-6042	110	27	un	un	PROPN
ejpam-6042	110	28	+	+	CCONJ
ejpam-6042	110	29	cihu	cihu	PROPN
ejpam-6042	110	30	′	′	PROPN
ejpam-6042	111	1	n	n	PROPN
ejpam-6042	112	1	+	+	CCONJ
ejpam-6042	113	1	1	1	NUM
ejpam-6042	113	2	2	2	NUM
ejpam-6042	113	3	(	(	PUNCT
ejpam-6042	113	4	cih	cih	NOUN
ejpam-6042	113	5	)	)	PUNCT
ejpam-6042	113	6	2	2	NUM
ejpam-6042	113	7	f	f	PROPN
ejpam-6042	113	8	(	(	PUNCT
ejpam-6042	113	9	tn	tn	PROPN
ejpam-6042	113	10	,	,	PUNCT
ejpam-6042	113	11	un	un	ADJ
ejpam-6042	113	12	)	)	PUNCT
ejpam-6042	113	13	+	+	NUM
ejpam-6042	113	14	h3	h3	NOUN
ejpam-6042	114	1	s∑	s∑	PROPN
ejpam-6042	114	2	i=1	i=1	PROPN
ejpam-6042	115	1	āij	āij	PROPN
ejpam-6042	116	1	lj	lj	INTJ
ejpam-6042	116	2	,	,	PUNCT
ejpam-6042	116	3	u	u	NOUN
ejpam-6042	116	4	′	′	NOUN
ejpam-6042	116	5	n	n	PROPN
ejpam-6042	116	6	+	+	CCONJ
ejpam-6042	116	7	cihf	cihf	PROPN
ejpam-6042	116	8	(	(	PUNCT
ejpam-6042	116	9	tn	tn	PROPN
ejpam-6042	116	10	,	,	PUNCT
ejpam-6042	116	11	un	un	PROPN
ejpam-6042	116	12	)	)	PUNCT
ejpam-6042	117	1	+	+	NUM
ejpam-6042	117	2	h2	h2	NOUN
ejpam-6042	117	3	s∑	s∑	PROPN
ejpam-6042	118	1	i=1	i=1	PROPN
ejpam-6042	118	2	ãij	ãij	PROPN
ejpam-6042	118	3	lj	lj	PROPN
ejpam-6042	118	4	)	)	PUNCT
ejpam-6042	118	5	.	.	PUNCT
ejpam-6042	119	1	(	(	PUNCT
ejpam-6042	119	2	7	7	X
ejpam-6042	119	3	)	)	PUNCT
ejpam-6042	119	4	it	it	PRON
ejpam-6042	119	5	is	be	AUX
ejpam-6042	119	6	convenient	convenient	ADJ
ejpam-6042	119	7	to	to	PART
ejpam-6042	119	8	represent	represent	VERB
ejpam-6042	119	9	the	the	DET
ejpam-6042	119	10	scheme	scheme	NOUN
ejpam-6042	119	11	(	(	PUNCT
ejpam-6042	119	12	3	3	X
ejpam-6042	119	13	)	)	PUNCT
ejpam-6042	119	14	using	use	VERB
ejpam-6042	119	15	the	the	DET
ejpam-6042	119	16	following	follow	VERB
ejpam-6042	119	17	butcher	butcher	NOUN
ejpam-6042	119	18	tableau	tableau	PROPN
ejpam-6042	119	19	:	:	PUNCT
ejpam-6042	119	20	table	table	NOUN
ejpam-6042	119	21	1	1	NUM
ejpam-6042	119	22	:	:	PUNCT
ejpam-6042	119	23	butcher	butcher	PROPN
ejpam-6042	119	24	tableau	tableau	PROPN
ejpam-6042	119	25	for	for	ADP
ejpam-6042	119	26	the	the	DET
ejpam-6042	119	27	tdrkn(5	tdrkn(5	NOUN
ejpam-6042	119	28	)	)	PUNCT
ejpam-6042	119	29	method	method	NOUN
ejpam-6042	119	30	.	.	PUNCT
ejpam-6042	120	1	c	c	PROPN
ejpam-6042	120	2	ā	ā	NOUN
ejpam-6042	120	3	ã	ã	PROPN
ejpam-6042	120	4	d̄	d̄	PROPN
ejpam-6042	120	5	d̃i	d̃i	VERB
ejpam-6042	120	6	the	the	DET
ejpam-6042	120	7	tdrkn(5	tdrkn(5	NOUN
ejpam-6042	120	8	)	)	PUNCT
ejpam-6042	120	9	method	method	NOUN
ejpam-6042	120	10	is	be	AUX
ejpam-6042	120	11	explicit	explicit	ADJ
ejpam-6042	120	12	if	if	SCONJ
ejpam-6042	120	13	āij	āij	PROPN
ejpam-6042	120	14	=	=	SYM
ejpam-6042	120	15	0	0	NUM
ejpam-6042	120	16	,	,	PUNCT
ejpam-6042	120	17	ãij	ãij	NOUN
ejpam-6042	120	18	=	=	NOUN
ejpam-6042	120	19	0	0	NUM
ejpam-6042	120	20	for	for	ADP
ejpam-6042	120	21	i	i	PRON
ejpam-6042	120	22	⩽	⩽	PROPN
ejpam-6042	120	23	j	j	PROPN
ejpam-6042	120	24	and	and	CCONJ
ejpam-6042	120	25	implicit	implicit	ADJ
ejpam-6042	120	26	if	if	SCONJ
ejpam-6042	120	27	āij	āij	PROPN
ejpam-6042	120	28	̸=	̸=	PROPN
ejpam-6042	120	29	0	0	NUM
ejpam-6042	120	30	,	,	PUNCT
ejpam-6042	120	31	ãij	ãij	PROPN
ejpam-6042	120	32	̸=	̸=	PROPN
ejpam-6042	120	33	0	0	NUM
ejpam-6042	120	34	for	for	ADP
ejpam-6042	120	35	i	i	PRON
ejpam-6042	120	36	⩽	⩽	PROPN
ejpam-6042	120	37	j	j	PROPN
ejpam-6042	120	38	and	and	CCONJ
ejpam-6042	120	39	involves	involve	VERB
ejpam-6042	120	40	only	only	ADV
ejpam-6042	120	41	one	one	NUM
ejpam-6042	120	42	evaluation	evaluation	NOUN
ejpam-6042	120	43	of	of	ADP
ejpam-6042	120	44	f	f	PROPN
ejpam-6042	120	45	and	and	CCONJ
ejpam-6042	120	46	many	many	ADJ
ejpam-6042	120	47	g	g	NOUN
ejpam-6042	120	48	evaluations	evaluation	NOUN
ejpam-6042	120	49	of	of	ADP
ejpam-6042	120	50	per	per	ADP
ejpam-6042	120	51	step	step	NOUN
ejpam-6042	120	52	.	.	PUNCT
ejpam-6042	121	1	we	we	PRON
ejpam-6042	121	2	select	select	VERB
ejpam-6042	121	3	to	to	PART
ejpam-6042	121	4	construct	construct	VERB
ejpam-6042	121	5	a	a	DET
ejpam-6042	121	6	new	new	ADJ
ejpam-6042	121	7	explicit	explicit	ADJ
ejpam-6042	121	8	method	method	NOUN
ejpam-6042	121	9	,	,	PUNCT
ejpam-6042	121	10	named	name	VERB
ejpam-6042	121	11	as	as	ADP
ejpam-6042	121	12	the	the	DET
ejpam-6042	121	13	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	121	14	)	)	PUNCT
ejpam-6042	121	15	method	method	NOUN
ejpam-6042	121	16	.	.	PUNCT
ejpam-6042	122	1	z.	z.	PROPN
ejpam-6042	122	2	sun	sun	PROPN
ejpam-6042	122	3	et	et	PROPN
ejpam-6042	122	4	al	al	PROPN
ejpam-6042	122	5	.	.	PUNCT
ejpam-6042	122	6	/	/	SYM
ejpam-6042	122	7	eur	eur	PROPN
ejpam-6042	122	8	.	.	PUNCT
ejpam-6042	123	1	j.	j.	PROPN
ejpam-6042	123	2	pure	pure	PROPN
ejpam-6042	123	3	appl	appl	PROPN
ejpam-6042	123	4	.	.	PROPN
ejpam-6042	123	5	math	math	PROPN
ejpam-6042	123	6	,	,	PUNCT
ejpam-6042	123	7	18	18	NUM
ejpam-6042	123	8	(	(	PUNCT
ejpam-6042	123	9	4	4	NUM
ejpam-6042	123	10	)	)	PUNCT
ejpam-6042	123	11	(	(	PUNCT
ejpam-6042	123	12	2025	2025	NUM
ejpam-6042	123	13	)	)	PUNCT
ejpam-6042	123	14	,	,	PUNCT
ejpam-6042	123	15	6042	6042	NUM
ejpam-6042	123	16	6	6	NUM
ejpam-6042	123	17	of	of	ADP
ejpam-6042	123	18	45	45	NUM
ejpam-6042	123	19	3	3	NUM
ejpam-6042	123	20	.	.	PUNCT
ejpam-6042	124	1	construction	construction	NOUN
ejpam-6042	124	2	of	of	ADP
ejpam-6042	124	3	the	the	DET
ejpam-6042	124	4	fifth	fifth	ADJ
ejpam-6042	124	5	-	-	PUNCT
ejpam-6042	124	6	order	order	NOUN
ejpam-6042	124	7	efficient	efficient	ADJ
ejpam-6042	124	8	two	two	NUM
ejpam-6042	124	9	-	-	PUNCT
ejpam-6042	124	10	derivative	derivative	NOUN
ejpam-6042	124	11	runge	runge	NOUN
ejpam-6042	124	12	-	-	PUNCT
ejpam-6042	124	13	kutta	kutta	NOUN
ejpam-6042	124	14	-	-	PUNCT
ejpam-6042	124	15	nyström	nyström	NOUN
ejpam-6042	124	16	method	method	NOUN
ejpam-6042	124	17	first	first	ADV
ejpam-6042	124	18	,	,	PUNCT
ejpam-6042	124	19	we	we	PRON
ejpam-6042	124	20	utilize	utilize	VERB
ejpam-6042	124	21	the	the	DET
ejpam-6042	124	22	taylor	taylor	PROPN
ejpam-6042	124	23	series	series	PROPN
ejpam-6042	124	24	expansion	expansion	NOUN
ejpam-6042	124	25	to	to	PART
ejpam-6042	124	26	determine	determine	VERB
ejpam-6042	124	27	the	the	DET
ejpam-6042	124	28	coefficients	coefficient	NOUN
ejpam-6042	124	29	of	of	ADP
ejpam-6042	124	30	the	the	DET
ejpam-6042	124	31	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	124	32	)	)	PUNCT
ejpam-6042	124	33	method	method	NOUN
ejpam-6042	124	34	of	of	ADP
ejpam-6042	124	35	three	three	NUM
ejpam-6042	124	36	-	-	PUNCT
ejpam-6042	124	37	stage	stage	NOUN
ejpam-6042	124	38	and	and	CCONJ
ejpam-6042	124	39	fifth	fifth	ADJ
ejpam-6042	124	40	-	-	PUNCT
ejpam-6042	124	41	order	order	NOUN
ejpam-6042	124	42	.	.	PUNCT
ejpam-6042	125	1	by	by	ADP
ejpam-6042	125	2	equating	equate	VERB
ejpam-6042	125	3	this	this	DET
ejpam-6042	125	4	expansion	expansion	NOUN
ejpam-6042	125	5	to	to	ADP
ejpam-6042	125	6	the	the	DET
ejpam-6042	125	7	theoretical	theoretical	ADJ
ejpam-6042	125	8	solution	solution	NOUN
ejpam-6042	125	9	,	,	PUNCT
ejpam-6042	125	10	which	which	PRON
ejpam-6042	125	11	is	be	AUX
ejpam-6042	125	12	also	also	ADV
ejpam-6042	125	13	represented	represent	VERB
ejpam-6042	125	14	by	by	ADP
ejpam-6042	125	15	a	a	DET
ejpam-6042	125	16	taylor	taylor	PROPN
ejpam-6042	125	17	series	series	NOUN
ejpam-6042	125	18	,	,	PUNCT
ejpam-6042	125	19	and	and	CCONJ
ejpam-6042	125	20	performing	perform	VERB
ejpam-6042	125	21	some	some	DET
ejpam-6042	125	22	simplifying	simplifying	NOUN
ejpam-6042	125	23	assumptions	assumption	NOUN
ejpam-6042	125	24	,	,	PUNCT
ejpam-6042	125	25	we	we	PRON
ejpam-6042	125	26	derive	derive	VERB
ejpam-6042	125	27	a	a	DET
ejpam-6042	125	28	system	system	NOUN
ejpam-6042	125	29	of	of	ADP
ejpam-6042	125	30	non	non	ADJ
ejpam-6042	125	31	-	-	ADJ
ejpam-6042	125	32	linear	linear	ADJ
ejpam-6042	125	33	equations	equation	NOUN
ejpam-6042	125	34	via	via	ADP
ejpam-6042	125	35	maple	maple	NOUN
ejpam-6042	125	36	.	.	PUNCT
ejpam-6042	126	1	these	these	DET
ejpam-6042	126	2	equations	equation	NOUN
ejpam-6042	126	3	are	be	AUX
ejpam-6042	126	4	known	know	VERB
ejpam-6042	126	5	as	as	ADP
ejpam-6042	126	6	the	the	DET
ejpam-6042	126	7	order	order	NOUN
ejpam-6042	126	8	conditions	condition	NOUN
ejpam-6042	126	9	of	of	ADP
ejpam-6042	126	10	the	the	DET
ejpam-6042	126	11	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	126	12	)	)	PUNCT
ejpam-6042	126	13	method	method	NOUN
ejpam-6042	126	14	.	.	PUNCT
ejpam-6042	127	1	the	the	DET
ejpam-6042	127	2	order	order	NOUN
ejpam-6042	127	3	conditions	condition	NOUN
ejpam-6042	127	4	for	for	ADP
ejpam-6042	127	5	u	u	NOUN
ejpam-6042	127	6	:	:	PUNCT
ejpam-6042	127	7	third	third	ADJ
ejpam-6042	127	8	-	-	PUNCT
ejpam-6042	127	9	order	order	NOUN
ejpam-6042	127	10	:	:	PUNCT
ejpam-6042	127	11	3∑	3∑	NUM
ejpam-6042	127	12	i=1	i=1	PRON
ejpam-6042	128	1	d̄i	d̄i	PROPN
ejpam-6042	128	2	=	=	NOUN
ejpam-6042	128	3	1	1	NUM
ejpam-6042	128	4	6	6	NUM
ejpam-6042	128	5	.	.	PUNCT
ejpam-6042	129	1	(	(	PUNCT
ejpam-6042	129	2	8)	8)	NUM
ejpam-6042	129	3	fourth	fourth	ADJ
ejpam-6042	129	4	-	-	PUNCT
ejpam-6042	129	5	order	order	NOUN
ejpam-6042	129	6	:	:	PUNCT
ejpam-6042	130	1	3∑	3∑	NUM
ejpam-6042	130	2	i=1	i=1	NOUN
ejpam-6042	130	3	d̄ici	d̄ici	NOUN
ejpam-6042	130	4	=	=	NOUN
ejpam-6042	130	5	1	1	NUM
ejpam-6042	130	6	24	24	NUM
ejpam-6042	130	7	.	.	PUNCT
ejpam-6042	131	1	(	(	PUNCT
ejpam-6042	131	2	9	9	X
ejpam-6042	131	3	)	)	PUNCT
ejpam-6042	131	4	fifth	fifth	ADJ
ejpam-6042	131	5	-	-	PUNCT
ejpam-6042	131	6	order	order	NOUN
ejpam-6042	131	7	:	:	PUNCT
ejpam-6042	132	1	3∑	3∑	NUM
ejpam-6042	132	2	i=1	i=1	NOUN
ejpam-6042	132	3	d̄ici	d̄ici	NOUN
ejpam-6042	132	4	2	2	NUM
ejpam-6042	132	5	=	=	SYM
ejpam-6042	132	6	1	1	NUM
ejpam-6042	132	7	60	60	NUM
ejpam-6042	132	8	.	.	PUNCT
ejpam-6042	133	1	(	(	PUNCT
ejpam-6042	133	2	10	10	NUM
ejpam-6042	133	3	)	)	PUNCT
ejpam-6042	133	4	sixth	sixth	ADJ
ejpam-6042	133	5	-	-	PUNCT
ejpam-6042	133	6	order	order	NOUN
ejpam-6042	133	7	:	:	PUNCT
ejpam-6042	134	1	3∑	3∑	NUM
ejpam-6042	134	2	i=1	i=1	PROPN
ejpam-6042	134	3	d̄ici	d̄ici	NOUN
ejpam-6042	134	4	3	3	NUM
ejpam-6042	134	5	=	=	SYM
ejpam-6042	134	6	1	1	NUM
ejpam-6042	134	7	120	120	NUM
ejpam-6042	134	8	,	,	PUNCT
ejpam-6042	134	9	(	(	PUNCT
ejpam-6042	134	10	11a	11a	NOUN
ejpam-6042	134	11	)	)	PUNCT
ejpam-6042	134	12	3∑	3∑	NOUN
ejpam-6042	134	13	i=1	i=1	NOUN
ejpam-6042	135	1			PROPN
ejpam-6042	135	2	i−1∑	i−1∑	PROPN
ejpam-6042	135	3	j=1	j=1	PROPN
ejpam-6042	135	4	d̄iāij	d̄iāij	PROPN
ejpam-6042	135	5			PROPN
ejpam-6042	135	6	=	=	SYM
ejpam-6042	135	7	1	1	NUM
ejpam-6042	135	8	720	720	NUM
ejpam-6042	135	9	,	,	PUNCT
ejpam-6042	135	10	(	(	PUNCT
ejpam-6042	135	11	11b	11b	NOUN
ejpam-6042	135	12	)	)	PUNCT
ejpam-6042	135	13	3∑	3∑	NOUN
ejpam-6042	135	14	i=1	i=1	NOUN
ejpam-6042	136	1			PROPN
ejpam-6042	136	2	i−1∑	i−1∑	NOUN
ejpam-6042	136	3	j=2	j=2	PROPN
ejpam-6042	136	4	d̄iāijcj	d̄iāijcj	NOUN
ejpam-6042	136	5			PROPN
ejpam-6042	137	1	=	=	SYM
ejpam-6042	138	1	1	1	NUM
ejpam-6042	138	2	720	720	NUM
ejpam-6042	138	3	.	.	PUNCT
ejpam-6042	139	1	(	(	PUNCT
ejpam-6042	139	2	11c	11c	NOUN
ejpam-6042	139	3	)	)	PUNCT
ejpam-6042	139	4	the	the	DET
ejpam-6042	139	5	order	order	NOUN
ejpam-6042	139	6	conditions	condition	NOUN
ejpam-6042	139	7	for	for	ADP
ejpam-6042	139	8	u′	u′	PROPN
ejpam-6042	139	9	:	:	PUNCT
ejpam-6042	139	10	second	second	ADJ
ejpam-6042	139	11	-	-	PUNCT
ejpam-6042	139	12	order	order	NOUN
ejpam-6042	139	13	:	:	PUNCT
ejpam-6042	139	14	3∑	3∑	NUM
ejpam-6042	139	15	i=1	i=1	NOUN
ejpam-6042	139	16	d̃i	d̃i	ADV
ejpam-6042	139	17	=	=	NOUN
ejpam-6042	139	18	1	1	NUM
ejpam-6042	139	19	2	2	NUM
ejpam-6042	139	20	.	.	PUNCT
ejpam-6042	140	1	(	(	PUNCT
ejpam-6042	140	2	12	12	NUM
ejpam-6042	140	3	)	)	PUNCT
ejpam-6042	140	4	third	third	ADJ
ejpam-6042	140	5	-	-	PUNCT
ejpam-6042	140	6	order	order	NOUN
ejpam-6042	140	7	:	:	PUNCT
ejpam-6042	141	1	3∑	3∑	NUM
ejpam-6042	141	2	i=1	i=1	NOUN
ejpam-6042	141	3	d̃ici	d̃ici	NOUN
ejpam-6042	141	4	=	=	PUNCT
ejpam-6042	141	5	1	1	NUM
ejpam-6042	141	6	6	6	NUM
ejpam-6042	141	7	.	.	PUNCT
ejpam-6042	142	1	(	(	PUNCT
ejpam-6042	142	2	13	13	NUM
ejpam-6042	142	3	)	)	PUNCT
ejpam-6042	142	4	fourth	fourth	ADJ
ejpam-6042	142	5	-	-	PUNCT
ejpam-6042	142	6	order	order	NOUN
ejpam-6042	142	7	:	:	PUNCT
ejpam-6042	143	1	3∑	3∑	NUM
ejpam-6042	143	2	i=1	i=1	PROPN
ejpam-6042	143	3	d̃ici	d̃ici	NOUN
ejpam-6042	143	4	2	2	NUM
ejpam-6042	143	5	=	=	SYM
ejpam-6042	143	6	1	1	NUM
ejpam-6042	143	7	12	12	NUM
ejpam-6042	143	8	.	.	PUNCT
ejpam-6042	144	1	(	(	PUNCT
ejpam-6042	144	2	14	14	NUM
ejpam-6042	144	3	)	)	PUNCT
ejpam-6042	144	4	z.	z.	PROPN
ejpam-6042	144	5	sun	sun	PROPN
ejpam-6042	144	6	et	et	PROPN
ejpam-6042	144	7	al	al	PROPN
ejpam-6042	144	8	.	.	PUNCT
ejpam-6042	144	9	/	/	SYM
ejpam-6042	144	10	eur	eur	PROPN
ejpam-6042	144	11	.	.	PUNCT
ejpam-6042	145	1	j.	j.	PROPN
ejpam-6042	145	2	pure	pure	PROPN
ejpam-6042	145	3	appl	appl	PROPN
ejpam-6042	145	4	.	.	PROPN
ejpam-6042	145	5	math	math	PROPN
ejpam-6042	145	6	,	,	PUNCT
ejpam-6042	145	7	18	18	NUM
ejpam-6042	145	8	(	(	PUNCT
ejpam-6042	145	9	4	4	NUM
ejpam-6042	145	10	)	)	PUNCT
ejpam-6042	145	11	(	(	PUNCT
ejpam-6042	145	12	2025	2025	NUM
ejpam-6042	145	13	)	)	PUNCT
ejpam-6042	145	14	,	,	PUNCT
ejpam-6042	145	15	6042	6042	NUM
ejpam-6042	145	16	7	7	NUM
ejpam-6042	145	17	of	of	ADP
ejpam-6042	145	18	45	45	NUM
ejpam-6042	145	19	firth	firth	PROPN
ejpam-6042	145	20	-	-	PUNCT
ejpam-6042	145	21	order	order	NOUN
ejpam-6042	145	22	:	:	PUNCT
ejpam-6042	146	1	3∑	3∑	NUM
ejpam-6042	146	2	i=1	i=1	PROPN
ejpam-6042	146	3	d̃ici	d̃ici	NOUN
ejpam-6042	146	4	3	3	NUM
ejpam-6042	146	5	=	=	SYM
ejpam-6042	146	6	1	1	NUM
ejpam-6042	146	7	20	20	NUM
ejpam-6042	146	8	,	,	PUNCT
ejpam-6042	146	9	(	(	PUNCT
ejpam-6042	146	10	15a	15a	NOUN
ejpam-6042	146	11	)	)	PUNCT
ejpam-6042	146	12	3∑	3∑	NOUN
ejpam-6042	146	13	i=1	i=1	NOUN
ejpam-6042	147	1			PROPN
ejpam-6042	147	2	i−1∑	i−1∑	NOUN
ejpam-6042	147	3	j=2	j=2	PROPN
ejpam-6042	147	4	d̃iãijcj	d̃iãijcj	NOUN
ejpam-6042	147	5			PROPN
ejpam-6042	147	6	=	=	SYM
ejpam-6042	147	7	1	1	NUM
ejpam-6042	147	8	120	120	NUM
ejpam-6042	147	9	,	,	PUNCT
ejpam-6042	147	10	(	(	PUNCT
ejpam-6042	147	11	15b	15b	NOUN
ejpam-6042	147	12	)	)	PUNCT
ejpam-6042	147	13	3∑	3∑	NOUN
ejpam-6042	147	14	i=1	i=1	NOUN
ejpam-6042	148	1			PROPN
ejpam-6042	148	2	i−1∑	i−1∑	PROPN
ejpam-6042	148	3	j=1	j=1	PROPN
ejpam-6042	148	4	d̃iāij	d̃iāij	PROPN
ejpam-6042	148	5			PROPN
ejpam-6042	148	6	=	=	SYM
ejpam-6042	148	7	1	1	NUM
ejpam-6042	148	8	120	120	NUM
ejpam-6042	148	9	.	.	PUNCT
ejpam-6042	149	1	(	(	PUNCT
ejpam-6042	149	2	15c	15c	NOUN
ejpam-6042	149	3	)	)	PUNCT
ejpam-6042	149	4	sixth	sixth	ADJ
ejpam-6042	149	5	-	-	PUNCT
ejpam-6042	149	6	order	order	NOUN
ejpam-6042	149	7	:	:	PUNCT
ejpam-6042	150	1	3∑	3∑	NUM
ejpam-6042	150	2	i=1	i=1	PROPN
ejpam-6042	150	3	d̃ici	d̃ici	NOUN
ejpam-6042	150	4	4	4	NUM
ejpam-6042	150	5	=	=	SYM
ejpam-6042	150	6	1	1	NUM
ejpam-6042	150	7	30	30	NUM
ejpam-6042	150	8	,	,	PUNCT
ejpam-6042	150	9	(	(	PUNCT
ejpam-6042	150	10	16a	16a	NOUN
ejpam-6042	150	11	)	)	PUNCT
ejpam-6042	150	12	3∑	3∑	NOUN
ejpam-6042	150	13	i=1	i=1	NOUN
ejpam-6042	151	1			PROPN
ejpam-6042	151	2	i−1∑	i−1∑	ADJ
ejpam-6042	151	3	j=1	j=1	NOUN
ejpam-6042	151	4	d̃iciāij	d̃iciāij	X
ejpam-6042	152	1			PROPN
ejpam-6042	152	2	=	=	SYM
ejpam-6042	152	3	1	1	NUM
ejpam-6042	152	4	180	180	NUM
ejpam-6042	152	5	,	,	PUNCT
ejpam-6042	152	6	(	(	PUNCT
ejpam-6042	152	7	16b	16b	X
ejpam-6042	152	8	)	)	PUNCT
ejpam-6042	152	9	3∑	3∑	NOUN
ejpam-6042	152	10	i=1	i=1	NOUN
ejpam-6042	153	1			PROPN
ejpam-6042	153	2	i−1∑	i−1∑	X
ejpam-6042	153	3	j=2	j=2	PROPN
ejpam-6042	153	4	d̃iāijcj	d̃iāijcj	NOUN
ejpam-6042	153	5			PROPN
ejpam-6042	153	6	=	=	SYM
ejpam-6042	153	7	1	1	NUM
ejpam-6042	153	8	720	720	NUM
ejpam-6042	153	9	,	,	PUNCT
ejpam-6042	153	10	(	(	PUNCT
ejpam-6042	153	11	16c	16c	NOUN
ejpam-6042	153	12	)	)	PUNCT
ejpam-6042	154	1	3∑	3∑	NOUN
ejpam-6042	154	2	i=1	i=1	NOUN
ejpam-6042	155	1			PROPN
ejpam-6042	155	2	i−1∑	i−1∑	NOUN
ejpam-6042	155	3	j=2	j=2	PROPN
ejpam-6042	155	4	d̃iãijcj	d̃iãijcj	NOUN
ejpam-6042	155	5	2	2	NUM
ejpam-6042	155	6			PROPN
ejpam-6042	155	7	=	=	SYM
ejpam-6042	155	8	1	1	NUM
ejpam-6042	155	9	360	360	NUM
ejpam-6042	155	10	,	,	PUNCT
ejpam-6042	155	11	(	(	PUNCT
ejpam-6042	155	12	16d	16d	NOUN
ejpam-6042	155	13	)	)	PUNCT
ejpam-6042	155	14	3∑	3∑	NOUN
ejpam-6042	155	15	i=1	i=1	NOUN
ejpam-6042	156	1			PROPN
ejpam-6042	156	2	i−1∑	i−1∑	X
ejpam-6042	156	3	j=2	j=2	NOUN
ejpam-6042	156	4	d̃iciãijcj	d̃iciãijcj	NOUN
ejpam-6042	156	5			PROPN
ejpam-6042	156	6	=	=	SYM
ejpam-6042	156	7	1	1	NUM
ejpam-6042	156	8	180	180	NUM
ejpam-6042	156	9	.	.	PUNCT
ejpam-6042	157	1	(	(	PUNCT
ejpam-6042	157	2	16e	16e	NUM
ejpam-6042	157	3	)	)	PUNCT
ejpam-6042	157	4	referring	refer	VERB
ejpam-6042	157	5	to	to	ADP
ejpam-6042	157	6	idea	idea	NOUN
ejpam-6042	157	7	of	of	ADP
ejpam-6042	157	8	reducing	reduce	VERB
ejpam-6042	157	9	the	the	DET
ejpam-6042	157	10	number	number	NOUN
ejpam-6042	157	11	of	of	ADP
ejpam-6042	157	12	n	n	CCONJ
ejpam-6042	157	13	-	-	PUNCT
ejpam-6042	157	14	trees	tree	NOUN
ejpam-6042	157	15	required	require	VERB
ejpam-6042	157	16	for	for	ADP
ejpam-6042	157	17	order	order	NOUN
ejpam-6042	157	18	conditions	condition	NOUN
ejpam-6042	157	19	obtained	obtain	VERB
ejpam-6042	157	20	in	in	ADP
ejpam-6042	157	21	[	[	X
ejpam-6042	157	22	15	15	NUM
ejpam-6042	157	23	]	]	PUNCT
ejpam-6042	157	24	,	,	PUNCT
ejpam-6042	157	25	we	we	PRON
ejpam-6042	157	26	propose	propose	VERB
ejpam-6042	157	27	the	the	DET
ejpam-6042	157	28	following	follow	VERB
ejpam-6042	157	29	relations	relation	NOUN
ejpam-6042	157	30	(	(	PUNCT
ejpam-6042	157	31	t0	t0	NOUN
ejpam-6042	157	32	+	+	CCONJ
ejpam-6042	157	33	cih	cih	X
ejpam-6042	157	34	)	)	PUNCT
ejpam-6042	157	35	2	2	NUM
ejpam-6042	157	36	=	=	SYM
ejpam-6042	157	37	t0	t0	NOUN
ejpam-6042	157	38	2	2	NUM
ejpam-6042	157	39	+	+	CCONJ
ejpam-6042	157	40	2t0	2t0	NUM
ejpam-6042	157	41	·	·	PUNCT
ejpam-6042	157	42	(	(	PUNCT
ejpam-6042	157	43	cih	cih	NOUN
ejpam-6042	157	44	)	)	PUNCT
ejpam-6042	157	45	+	+	CCONJ
ejpam-6042	157	46	(	(	PUNCT
ejpam-6042	157	47	cih	cih	NOUN
ejpam-6042	157	48	)	)	PUNCT
ejpam-6042	157	49	2	2	NUM
ejpam-6042	157	50	=	=	SYM
ejpam-6042	157	51	t0	t0	NOUN
ejpam-6042	157	52	2	2	NUM
ejpam-6042	158	1	+	+	CCONJ
ejpam-6042	158	2	∫	∫	PROPN
ejpam-6042	158	3	t0+cih	t0+cih	NUM
ejpam-6042	158	4	t0	t0	NOUN
ejpam-6042	158	5	2t0dτ+	2t0dτ+	NUM
ejpam-6042	158	6	∫	∫	NOUN
ejpam-6042	158	7	t0+cih	t0+cih	NUM
ejpam-6042	159	1	t0	t0	NOUN
ejpam-6042	159	2	∫	∫	PROPN
ejpam-6042	160	1	τ	τ	PROPN
ejpam-6042	160	2	t0	t0	PROPN
ejpam-6042	160	3	2dσdτ	2dσdτ	NUM
ejpam-6042	160	4	,	,	PUNCT
ejpam-6042	160	5	(	(	PUNCT
ejpam-6042	160	6	t0	t0	NOUN
ejpam-6042	160	7	+	+	CCONJ
ejpam-6042	160	8	cih	cih	X
ejpam-6042	160	9	)	)	PUNCT
ejpam-6042	160	10	3	3	NUM
ejpam-6042	160	11	=	=	SYM
ejpam-6042	160	12	t0	t0	NOUN
ejpam-6042	160	13	3	3	NUM
ejpam-6042	160	14	+	+	CCONJ
ejpam-6042	160	15	3t0	3t0	NUM
ejpam-6042	160	16	2	2	NUM
ejpam-6042	160	17	·	·	PUNCT
ejpam-6042	160	18	(	(	PUNCT
ejpam-6042	160	19	cih	cih	NOUN
ejpam-6042	160	20	)	)	PUNCT
ejpam-6042	160	21	+	+	CCONJ
ejpam-6042	160	22	3t0	3t0	NUM
ejpam-6042	160	23	·	·	PUNCT
ejpam-6042	160	24	(	(	PUNCT
ejpam-6042	160	25	cih)2	cih)2	PROPN
ejpam-6042	160	26	+	+	CCONJ
ejpam-6042	160	27	(	(	PUNCT
ejpam-6042	160	28	cih	cih	NOUN
ejpam-6042	160	29	)	)	PUNCT
ejpam-6042	160	30	3	3	NUM
ejpam-6042	160	31	=	=	SYM
ejpam-6042	160	32	t0	t0	NOUN
ejpam-6042	160	33	3	3	NUM
ejpam-6042	161	1	+	+	CCONJ
ejpam-6042	161	2	∫	∫	PROPN
ejpam-6042	161	3	t0+cih	t0+cih	NUM
ejpam-6042	161	4	t0	t0	NOUN
ejpam-6042	161	5	3t0	3t0	NUM
ejpam-6042	161	6	2dτ	2dτ	NOUN
ejpam-6042	162	1	+	+	CCONJ
ejpam-6042	162	2	∫	∫	PROPN
ejpam-6042	162	3	t0+cih	t0+cih	PRON
ejpam-6042	163	1	t0	t0	NOUN
ejpam-6042	163	2	∫	∫	PROPN
ejpam-6042	164	1	τ	τ	PROPN
ejpam-6042	164	2	t0	t0	PROPN
ejpam-6042	164	3	6t0dσdτ+	6t0dσdτ+	NOUN
ejpam-6042	164	4	∫	∫	PROPN
ejpam-6042	165	1	t0+cih	t0+cih	PRON
ejpam-6042	166	1	t0	t0	NOUN
ejpam-6042	166	2	∫	∫	PROPN
ejpam-6042	167	1	τ	τ	PROPN
ejpam-6042	167	2	t0	t0	PROPN
ejpam-6042	167	3	∫	∫	PROPN
ejpam-6042	167	4	σ	σ	PROPN
ejpam-6042	167	5	t0	t0	PROPN
ejpam-6042	167	6	6dςdσdτ	6dςdσdτ	PROPN
ejpam-6042	167	7	,	,	PUNCT
ejpam-6042	167	8	(	(	PUNCT
ejpam-6042	167	9	17	17	NUM
ejpam-6042	167	10	)	)	PUNCT
ejpam-6042	167	11	which	which	PRON
ejpam-6042	167	12	yield	yield	VERB
ejpam-6042	167	13	the	the	DET
ejpam-6042	167	14	simplifying	simplifying	NOUN
ejpam-6042	167	15	assumptions	assumption	NOUN
ejpam-6042	167	16	ãe	ãe	VERB
ejpam-6042	167	17	=	=	SYM
ejpam-6042	167	18	1	1	NUM
ejpam-6042	167	19	2	2	NUM
ejpam-6042	167	20	c2	c2	PROPN
ejpam-6042	167	21	,	,	PUNCT
ejpam-6042	167	22	āe	āe	PROPN
ejpam-6042	167	23	=	=	SYM
ejpam-6042	167	24	1	1	NUM
ejpam-6042	167	25	6	6	NUM
ejpam-6042	167	26	c3	c3	NOUN
ejpam-6042	167	27	,	,	PUNCT
ejpam-6042	167	28	i.e.	i.e.	X
ejpam-6042	167	29	,	,	PUNCT
ejpam-6042	167	30	s∑	s∑	PROPN
ejpam-6042	167	31	j=1	j=1	PROPN
ejpam-6042	167	32	ãij	ãij	PROPN
ejpam-6042	167	33	=	=	NOUN
ejpam-6042	167	34	1	1	NUM
ejpam-6042	167	35	2	2	NUM
ejpam-6042	167	36	ci	ci	NOUN
ejpam-6042	167	37	2	2	NUM
ejpam-6042	167	38	,	,	PUNCT
ejpam-6042	167	39	s∑	s∑	PROPN
ejpam-6042	167	40	j=1	j=1	PROPN
ejpam-6042	167	41	āij	āij	PROPN
ejpam-6042	167	42	=	=	PUNCT
ejpam-6042	168	1	1	1	NUM
ejpam-6042	168	2	6	6	NUM
ejpam-6042	168	3	ci	ci	NOUN
ejpam-6042	168	4	3	3	NUM
ejpam-6042	168	5	.	.	PUNCT
ejpam-6042	168	6	(	(	PUNCT
ejpam-6042	168	7	18	18	NUM
ejpam-6042	168	8	)	)	PUNCT
ejpam-6042	168	9	z.	z.	PROPN
ejpam-6042	168	10	sun	sun	PROPN
ejpam-6042	168	11	et	et	PROPN
ejpam-6042	168	12	al	al	PROPN
ejpam-6042	168	13	.	.	PUNCT
ejpam-6042	168	14	/	/	SYM
ejpam-6042	168	15	eur	eur	PROPN
ejpam-6042	168	16	.	.	PUNCT
ejpam-6042	169	1	j.	j.	PROPN
ejpam-6042	169	2	pure	pure	PROPN
ejpam-6042	169	3	appl	appl	PROPN
ejpam-6042	169	4	.	.	PROPN
ejpam-6042	169	5	math	math	PROPN
ejpam-6042	169	6	,	,	PUNCT
ejpam-6042	169	7	18	18	NUM
ejpam-6042	169	8	(	(	PUNCT
ejpam-6042	169	9	4	4	NUM
ejpam-6042	169	10	)	)	PUNCT
ejpam-6042	169	11	(	(	PUNCT
ejpam-6042	169	12	2025	2025	NUM
ejpam-6042	169	13	)	)	PUNCT
ejpam-6042	169	14	,	,	PUNCT
ejpam-6042	169	15	6042	6042	NUM
ejpam-6042	169	16	8	8	NUM
ejpam-6042	169	17	of	of	ADP
ejpam-6042	169	18	45	45	NUM
ejpam-6042	169	19	we	we	PRON
ejpam-6042	169	20	utilize	utilize	VERB
ejpam-6042	169	21	the	the	DET
ejpam-6042	169	22	order	order	NOUN
ejpam-6042	169	23	conditions	condition	NOUN
ejpam-6042	169	24	(	(	PUNCT
ejpam-6042	169	25	8	8	NUM
ejpam-6042	169	26	-	-	NUM
ejpam-6042	169	27	15c,12	15c,12	NUM
ejpam-6042	169	28	-	-	PUNCT
ejpam-6042	169	29	15c,11a	15c,11a	NUM
ejpam-6042	169	30	)	)	PUNCT
ejpam-6042	169	31	and	and	CCONJ
ejpam-6042	169	32	simplifying	simplify	VERB
ejpam-6042	169	33	assumptions	assumption	NOUN
ejpam-6042	169	34	(	(	PUNCT
ejpam-6042	169	35	18	18	NUM
ejpam-6042	169	36	)	)	PUNCT
ejpam-6042	169	37	(	(	PUNCT
ejpam-6042	169	38	i	i	NOUN
ejpam-6042	169	39	=	=	NOUN
ejpam-6042	169	40	2	2	NUM
ejpam-6042	169	41	,	,	PUNCT
ejpam-6042	169	42	j	j	NOUN
ejpam-6042	169	43	=	=	NOUN
ejpam-6042	169	44	1	1	NUM
ejpam-6042	169	45	)	)	PUNCT
ejpam-6042	169	46	to	to	PART
ejpam-6042	169	47	generate	generate	VERB
ejpam-6042	169	48	the	the	DET
ejpam-6042	169	49	coefficients	coefficient	NOUN
ejpam-6042	169	50	of	of	ADP
ejpam-6042	169	51	the	the	DET
ejpam-6042	169	52	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	169	53	)	)	PUNCT
ejpam-6042	169	54	method	method	NOUN
ejpam-6042	169	55	which	which	PRON
ejpam-6042	169	56	are	be	AUX
ejpam-6042	169	57	presented	present	VERB
ejpam-6042	169	58	in	in	ADP
ejpam-6042	169	59	the	the	DET
ejpam-6042	169	60	following	follow	VERB
ejpam-6042	169	61	butcher	butcher	NOUN
ejpam-6042	169	62	tableau	tableau	PROPN
ejpam-6042	169	63	:	:	PUNCT
ejpam-6042	169	64	table	table	NOUN
ejpam-6042	169	65	2	2	NUM
ejpam-6042	169	66	:	:	PUNCT
ejpam-6042	169	67	butcher	butcher	PROPN
ejpam-6042	169	68	tableau	tableau	PROPN
ejpam-6042	169	69	for	for	ADP
ejpam-6042	169	70	the	the	DET
ejpam-6042	169	71	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	169	72	)	)	PUNCT
ejpam-6042	169	73	method	method	NOUN
ejpam-6042	169	74	with	with	ADP
ejpam-6042	169	75	three	three	NUM
ejpam-6042	169	76	-	-	PUNCT
ejpam-6042	169	77	stage	stage	NOUN
ejpam-6042	169	78	and	and	CCONJ
ejpam-6042	169	79	fifth	fifth	ADJ
ejpam-6042	169	80	-	-	PUNCT
ejpam-6042	169	81	order	order	NOUN
ejpam-6042	169	82	.	.	PUNCT
ejpam-6042	170	1	0	0	NUM
ejpam-6042	170	2	0	0	NUM
ejpam-6042	170	3	0	0	NUM
ejpam-6042	170	4	0	0	NUM
ejpam-6042	170	5	0	0	NUM
ejpam-6042	170	6	0	0	NUM
ejpam-6042	170	7	0	0	NUM
ejpam-6042	170	8	c2	c2	PROPN
ejpam-6042	170	9	ā21	ā21	NUM
ejpam-6042	170	10	0	0	NUM
ejpam-6042	170	11	0	0	NUM
ejpam-6042	170	12	ã21	ã21	NOUN
ejpam-6042	170	13	0	0	NUM
ejpam-6042	170	14	0	0	NUM
ejpam-6042	170	15	c3	c3	X
ejpam-6042	170	16	ā31	ā31	PROPN
ejpam-6042	170	17	ā32	ā32	PROPN
ejpam-6042	170	18	0	0	NUM
ejpam-6042	171	1	ã31	ã31	ADP
ejpam-6042	171	2	ã32	ã32	NOUN
ejpam-6042	171	3	0	0	NUM
ejpam-6042	171	4	d̄1	d̄1	NUM
ejpam-6042	171	5	d̄2	d̄2	PROPN
ejpam-6042	171	6	d̄3	d̄3	PROPN
ejpam-6042	171	7	d̃1	d̃1	PROPN
ejpam-6042	171	8	d̃2	d̃2	PROPN
ejpam-6042	171	9	d̃3	d̃3	PROPN
ejpam-6042	171	10	after	after	ADP
ejpam-6042	171	11	solving	solve	VERB
ejpam-6042	171	12	the	the	DET
ejpam-6042	171	13	order	order	NOUN
ejpam-6042	171	14	conditions	condition	NOUN
ejpam-6042	171	15	mentioned	mention	VERB
ejpam-6042	171	16	above	above	ADV
ejpam-6042	171	17	,	,	PUNCT
ejpam-6042	171	18	we	we	PRON
ejpam-6042	171	19	obtains	obtain	VERB
ejpam-6042	171	20	the	the	DET
ejpam-6042	171	21	solution	solution	NOUN
ejpam-6042	171	22	with	with	ADP
ejpam-6042	171	23	one	one	NUM
ejpam-6042	171	24	free	free	ADJ
ejpam-6042	171	25	coefficient	coefficient	NOUN
ejpam-6042	171	26	ā31	ā31	PROPN
ejpam-6042	171	27	as	as	SCONJ
ejpam-6042	171	28	follow	follow	VERB
ejpam-6042	171	29	:	:	PUNCT
ejpam-6042	171	30	ā32	ā32	PROPN
ejpam-6042	171	31	=	=	SYM
ejpam-6042	171	32	−ā31	−ā31	PROPN
ejpam-6042	171	33	+	+	CCONJ
ejpam-6042	171	34	1	1	NUM
ejpam-6042	171	35	30	30	NUM
ejpam-6042	171	36	−	−	NOUN
ejpam-6042	171	37	√	√	NUM
ejpam-6042	171	38	5	5	NUM
ejpam-6042	171	39	75	75	NUM
ejpam-6042	171	40	.	.	PUNCT
ejpam-6042	172	1	(	(	PUNCT
ejpam-6042	172	2	19	19	NUM
ejpam-6042	172	3	)	)	PUNCT
ejpam-6042	172	4	then	then	ADV
ejpam-6042	172	5	,	,	PUNCT
ejpam-6042	172	6	we	we	PRON
ejpam-6042	172	7	generate	generate	VERB
ejpam-6042	172	8	all	all	DET
ejpam-6042	172	9	coefficients	coefficient	NOUN
ejpam-6042	172	10	of	of	ADP
ejpam-6042	172	11	the	the	DET
ejpam-6042	172	12	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	172	13	)	)	PUNCT
ejpam-6042	172	14	method	method	NOUN
ejpam-6042	172	15	:	:	PUNCT
ejpam-6042	172	16	c1	c1	NOUN
ejpam-6042	172	17	=	=	PUNCT
ejpam-6042	172	18	0	0	PROPN
ejpam-6042	172	19	,	,	PUNCT
ejpam-6042	172	20	c2	c2	PROPN
ejpam-6042	172	21	=	=	SYM
ejpam-6042	172	22	1	1	NUM
ejpam-6042	172	23	2	2	NUM
ejpam-6042	172	24	+	+	CCONJ
ejpam-6042	172	25	√	√	NUM
ejpam-6042	172	26	5	5	NUM
ejpam-6042	172	27	10	10	NUM
ejpam-6042	172	28	,	,	PUNCT
ejpam-6042	172	29	c3	c3	PROPN
ejpam-6042	172	30	=	=	PUNCT
ejpam-6042	172	31	1	1	NUM
ejpam-6042	172	32	2	2	NUM
ejpam-6042	172	33	−	−	NOUN
ejpam-6042	172	34	√	√	NOUN
ejpam-6042	172	35	5	5	NUM
ejpam-6042	172	36	10	10	NUM
ejpam-6042	172	37	,	,	PUNCT
ejpam-6042	172	38	ā21	ā21	PUNCT
ejpam-6042	172	39	=	=	SYM
ejpam-6042	172	40	1	1	NUM
ejpam-6042	172	41	30	30	NUM
ejpam-6042	172	42	+	+	CCONJ
ejpam-6042	172	43	√	√	NUM
ejpam-6042	172	44	5	5	NUM
ejpam-6042	172	45	75	75	NUM
ejpam-6042	172	46	,	,	PUNCT
ejpam-6042	172	47	ā32	ā32	PROPN
ejpam-6042	172	48	=	=	SYM
ejpam-6042	172	49	ā31	ā31	PROPN
ejpam-6042	173	1	+	+	CCONJ
ejpam-6042	173	2	1	1	NUM
ejpam-6042	173	3	30	30	NUM
ejpam-6042	173	4	−	−	NOUN
ejpam-6042	173	5	√	√	NUM
ejpam-6042	173	6	5	5	NUM
ejpam-6042	173	7	75	75	NUM
ejpam-6042	173	8	,	,	PUNCT
ejpam-6042	173	9	ã21	ã21	NOUN
ejpam-6042	173	10	=	=	SYM
ejpam-6042	173	11	3	3	NUM
ejpam-6042	173	12	20	20	NUM
ejpam-6042	173	13	+	+	CCONJ
ejpam-6042	173	14	√	√	NUM
ejpam-6042	173	15	5	5	NUM
ejpam-6042	173	16	20	20	NUM
ejpam-6042	173	17	,	,	PUNCT
ejpam-6042	173	18	ã31	ã31	PROPN
ejpam-6042	173	19	=	=	SYM
ejpam-6042	173	20	0	0	NUM
ejpam-6042	173	21	,	,	PUNCT
ejpam-6042	173	22	ã32	ã32	PUNCT
ejpam-6042	173	23	=	=	NOUN
ejpam-6042	173	24	3	3	NUM
ejpam-6042	173	25	20	20	NUM
ejpam-6042	173	26	−	−	NOUN
ejpam-6042	173	27	√	√	NUM
ejpam-6042	173	28	5	5	NUM
ejpam-6042	173	29	20	20	NUM
ejpam-6042	173	30	,	,	PUNCT
ejpam-6042	173	31	d̄1	d̄1	VERB
ejpam-6042	173	32	=	=	SYM
ejpam-6042	173	33	1	1	NUM
ejpam-6042	173	34	24	24	NUM
ejpam-6042	173	35	,	,	PUNCT
ejpam-6042	173	36	d̄2	d̄2	PROPN
ejpam-6042	173	37	=	=	NOUN
ejpam-6042	174	1	1	1	NUM
ejpam-6042	174	2	16	16	NUM
ejpam-6042	174	3	−	−	NOUN
ejpam-6042	174	4	√	√	NUM
ejpam-6042	174	5	5	5	NUM
ejpam-6042	174	6	48	48	NUM
ejpam-6042	174	7	,	,	PUNCT
ejpam-6042	174	8	d̄3	d̄3	ADV
ejpam-6042	174	9	=	=	SYM
ejpam-6042	174	10	1	1	NUM
ejpam-6042	174	11	16	16	NUM
ejpam-6042	174	12	+	+	CCONJ
ejpam-6042	174	13	√	√	NUM
ejpam-6042	174	14	5	5	NUM
ejpam-6042	174	15	48	48	NUM
ejpam-6042	174	16	,	,	PUNCT
ejpam-6042	174	17	d̃1	d̃1	PROPN
ejpam-6042	174	18	=	=	SYM
ejpam-6042	174	19	1	1	NUM
ejpam-6042	174	20	12	12	NUM
ejpam-6042	174	21	,	,	PUNCT
ejpam-6042	174	22	d̃2	d̃2	PROPN
ejpam-6042	174	23	=	=	SYM
ejpam-6042	174	24	5	5	NUM
ejpam-6042	174	25	24	24	NUM
ejpam-6042	174	26	−	−	NOUN
ejpam-6042	174	27	√	√	NOUN
ejpam-6042	174	28	5	5	NUM
ejpam-6042	174	29	24	24	NUM
ejpam-6042	174	30	,	,	PUNCT
ejpam-6042	174	31	d̃3	d̃3	PROPN
ejpam-6042	174	32	=	=	NOUN
ejpam-6042	174	33	5	5	NUM
ejpam-6042	174	34	24	24	NUM
ejpam-6042	174	35	+	+	CCONJ
ejpam-6042	174	36	√	√	NUM
ejpam-6042	174	37	5	5	NUM
ejpam-6042	174	38	24	24	NUM
ejpam-6042	174	39	.	.	PUNCT
ejpam-6042	175	1	(	(	PUNCT
ejpam-6042	175	2	20	20	X
ejpam-6042	175	3	)	)	PUNCT
ejpam-6042	175	4	euclidean	euclidean	ADJ
ejpam-6042	175	5	norms	norm	NOUN
ejpam-6042	175	6	(	(	PUNCT
ejpam-6042	175	7	2	2	NUM
ejpam-6042	175	8	-	-	PUNCT
ejpam-6042	175	9	norms	norm	NOUN
ejpam-6042	175	10	)	)	PUNCT
ejpam-6042	176	1	[	[	X
ejpam-6042	176	2	21	21	NUM
ejpam-6042	176	3	]	]	PUNCT
ejpam-6042	176	4	of	of	ADP
ejpam-6042	176	5	the	the	DET
ejpam-6042	176	6	error	error	NOUN
ejpam-6042	176	7	terms	term	NOUN
ejpam-6042	176	8	for	for	ADP
ejpam-6042	176	9	the	the	DET
ejpam-6042	176	10	sixth	sixth	ADJ
ejpam-6042	176	11	-	-	PUNCT
ejpam-6042	176	12	order	order	NOUN
ejpam-6042	176	13	approximations	approximation	NOUN
ejpam-6042	176	14	of	of	ADP
ejpam-6042	176	15	u	u	NOUN
ejpam-6042	176	16	and	and	CCONJ
ejpam-6042	176	17	u′	u′	PROPN
ejpam-6042	176	18	of	of	ADP
ejpam-6042	176	19	the	the	DET
ejpam-6042	176	20	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	176	21	)	)	PUNCT
ejpam-6042	176	22	method	method	NOUN
ejpam-6042	176	23	are	be	AUX
ejpam-6042	176	24	defined	define	VERB
ejpam-6042	176	25	as	as	ADP
ejpam-6042	176	26	∥∥∥τ	∥∥∥τ	NOUN
ejpam-6042	176	27	(	(	PUNCT
ejpam-6042	176	28	6)∥∥∥	6)∥∥∥	NUM
ejpam-6042	176	29	2	2	NUM
ejpam-6042	176	30	=	=	NOUN
ejpam-6042	176	31	√√√√	√√√√	PRON
ejpam-6042	176	32	k∑	k∑	VERB
ejpam-6042	176	33	i=1	i=1	PROPN
ejpam-6042	177	1	(	(	PUNCT
ejpam-6042	177	2	τ	τ	X
ejpam-6042	177	3	(	(	PUNCT
ejpam-6042	177	4	6	6	NUM
ejpam-6042	177	5	)	)	PUNCT
ejpam-6042	177	6	i	i	NOUN
ejpam-6042	177	7	)	)	PUNCT
ejpam-6042	177	8	2	2	NUM
ejpam-6042	177	9	,	,	PUNCT
ejpam-6042	177	10	∥∥∥τ	∥∥∥τ	NOUN
ejpam-6042	177	11	′(6	′(6	NOUN
ejpam-6042	177	12	)	)	PUNCT
ejpam-6042	177	13	∥∥∥	∥∥∥	NOUN
ejpam-6042	177	14	2	2	NUM
ejpam-6042	177	15	=	=	SYM
ejpam-6042	177	16	√√√√	√√√√	PRON
ejpam-6042	177	17	l∑	l∑	X
ejpam-6042	177	18	i=1	i=1	PROPN
ejpam-6042	177	19	(	(	PUNCT
ejpam-6042	177	20	τi′	τi′	X
ejpam-6042	177	21	(	(	PUNCT
ejpam-6042	177	22	6	6	NUM
ejpam-6042	177	23	)	)	PUNCT
ejpam-6042	177	24	)	)	PUNCT
ejpam-6042	177	25	2	2	NUM
ejpam-6042	177	26	,	,	PUNCT
ejpam-6042	177	27	∥∥∥τ	∥∥∥τ	NOUN
ejpam-6042	177	28	(	(	PUNCT
ejpam-6042	177	29	6)g	6)g	PROPN
ejpam-6042	177	30	∥∥∥	∥∥∥	PROPN
ejpam-6042	177	31	2	2	NUM
ejpam-6042	177	32	=	=	SYM
ejpam-6042	177	33	√√√√k+l∑	√√√√k+l∑	PROPN
ejpam-6042	177	34	i=1	i=1	X
ejpam-6042	178	1	[	[	PUNCT
ejpam-6042	178	2	(	(	PUNCT
ejpam-6042	178	3	τ	τ	X
ejpam-6042	178	4	(	(	PUNCT
ejpam-6042	178	5	6	6	NUM
ejpam-6042	178	6	)	)	PUNCT
ejpam-6042	178	7	i	i	NOUN
ejpam-6042	178	8	)	)	PUNCT
ejpam-6042	178	9	2	2	NUM
ejpam-6042	179	1	+	+	CCONJ
ejpam-6042	179	2	(	(	PUNCT
ejpam-6042	179	3	τ	τ	PROPN
ejpam-6042	179	4	′(6	′(6	NOUN
ejpam-6042	179	5	)	)	PUNCT
ejpam-6042	179	6	i	i	NOUN
ejpam-6042	179	7	)	)	PUNCT
ejpam-6042	179	8	2	2	NUM
ejpam-6042	179	9	]	]	PUNCT
ejpam-6042	179	10	,	,	PUNCT
ejpam-6042	179	11	(	(	PUNCT
ejpam-6042	179	12	21	21	NUM
ejpam-6042	179	13	)	)	PUNCT
ejpam-6042	179	14	where	where	SCONJ
ejpam-6042	179	15	k	k	PROPN
ejpam-6042	179	16	and	and	CCONJ
ejpam-6042	179	17	l	l	NOUN
ejpam-6042	179	18	are	be	AUX
ejpam-6042	179	19	the	the	DET
ejpam-6042	179	20	total	total	ADJ
ejpam-6042	179	21	number	number	NOUN
ejpam-6042	179	22	of	of	ADP
ejpam-6042	179	23	local	local	ADJ
ejpam-6042	179	24	truncation	truncation	NOUN
ejpam-6042	179	25	errors	error	NOUN
ejpam-6042	179	26	for	for	ADP
ejpam-6042	179	27	u	u	PROPN
ejpam-6042	179	28	and	and	CCONJ
ejpam-6042	179	29	u′	u′	PROPN
ejpam-6042	179	30	,	,	PUNCT
ejpam-6042	179	31	τ	τ	X
ejpam-6042	179	32	(	(	PUNCT
ejpam-6042	179	33	6	6	NUM
ejpam-6042	179	34	)	)	PUNCT
ejpam-6042	179	35	and	and	CCONJ
ejpam-6042	179	36	τ	τ	PROPN
ejpam-6042	179	37	′(6	′(6	NOUN
ejpam-6042	179	38	)	)	PUNCT
ejpam-6042	179	39	are	be	AUX
ejpam-6042	179	40	the	the	DET
ejpam-6042	179	41	sixth	sixth	ADJ
ejpam-6042	179	42	-	-	PUNCT
ejpam-6042	179	43	order	order	NOUN
ejpam-6042	179	44	local	local	ADJ
ejpam-6042	179	45	truncation	truncation	NOUN
ejpam-6042	179	46	error	error	NOUN
ejpam-6042	179	47	norms	norm	NOUN
ejpam-6042	179	48	for	for	ADP
ejpam-6042	179	49	u	u	NOUN
ejpam-6042	179	50	and	and	CCONJ
ejpam-6042	179	51	u′	u′	PRON
ejpam-6042	179	52	respectively	respectively	ADV
ejpam-6042	179	53	,	,	PUNCT
ejpam-6042	179	54	and	and	CCONJ
ejpam-6042	179	55	∥∥∥τ	∥∥∥τ	NOUN
ejpam-6042	179	56	(	(	PUNCT
ejpam-6042	179	57	6)g	6)g	PROPN
ejpam-6042	179	58	∥∥∥	∥∥∥	PROPN
ejpam-6042	179	59	2	2	NUM
ejpam-6042	179	60	is	be	AUX
ejpam-6042	179	61	sixth	sixth	ADJ
ejpam-6042	179	62	-	-	PUNCT
ejpam-6042	179	63	order	order	NOUN
ejpam-6042	179	64	global	global	ADJ
ejpam-6042	179	65	truncation	truncation	NOUN
ejpam-6042	179	66	error	error	NOUN
ejpam-6042	179	67	norm	norm	NOUN
ejpam-6042	179	68	used	use	VERB
ejpam-6042	179	69	to	to	PART
ejpam-6042	179	70	decide	decide	VERB
ejpam-6042	179	71	the	the	DET
ejpam-6042	179	72	values	value	NOUN
ejpam-6042	179	73	of	of	ADP
ejpam-6042	179	74	ā31	ā31	PROPN
ejpam-6042	179	75	and	and	CCONJ
ejpam-6042	179	76	ā32	ā32	NUM
ejpam-6042	179	77	.	.	PUNCT
ejpam-6042	180	1	we	we	PRON
ejpam-6042	180	2	determine	determine	VERB
ejpam-6042	180	3	ā31	ā31	PROPN
ejpam-6042	180	4	by	by	ADP
ejpam-6042	180	5	minimizing	minimize	VERB
ejpam-6042	180	6	∥∥∥τ	∥∥∥τ	NOUN
ejpam-6042	180	7	(	(	PUNCT
ejpam-6042	180	8	6)g	6)g	PROPN
ejpam-6042	180	9	∥∥∥	∥∥∥	PROPN
ejpam-6042	180	10	2	2	NUM
ejpam-6042	180	11	,	,	PUNCT
ejpam-6042	180	12	as	as	ADP
ejpam-6042	180	13	a	a	DET
ejpam-6042	180	14	result	result	NOUN
ejpam-6042	180	15	,	,	PUNCT
ejpam-6042	180	16	it	it	PRON
ejpam-6042	180	17	generates	generate	VERB
ejpam-6042	180	18	a	a	DET
ejpam-6042	180	19	minimum	minimum	ADJ
ejpam-6042	180	20	value	value	NOUN
ejpam-6042	180	21	8.487	8.487	NUM
ejpam-6042	180	22	×	×	NOUN
ejpam-6042	180	23	10−3	10−3	NUM
ejpam-6042	180	24	at	at	ADP
ejpam-6042	180	25	ā31	ā31	NOUN
ejpam-6042	180	26	=	=	SYM
ejpam-6042	180	27	−1288	−1288	ADJ
ejpam-6042	180	28	452405	452405	NUM
ejpam-6042	180	29	,	,	PUNCT
ejpam-6042	180	30	which	which	PRON
ejpam-6042	180	31	produces	produce	VERB
ejpam-6042	180	32	ā32	ā32	PROPN
ejpam-6042	180	33	=	=	PROPN
ejpam-6042	180	34	98209	98209	NUM
ejpam-6042	180	35	2714430	2714430	NUM
ejpam-6042	180	36	−	−	NOUN
ejpam-6042	180	37	√	√	NOUN
ejpam-6042	180	38	5	5	NUM
ejpam-6042	180	39	75	75	NUM
ejpam-6042	180	40	.	.	PUNCT
ejpam-6042	181	1	in	in	ADP
ejpam-6042	181	2	the	the	DET
ejpam-6042	181	3	meanwhile	meanwhile	NOUN
ejpam-6042	181	4	,	,	PUNCT
ejpam-6042	181	5	at	at	ADP
ejpam-6042	181	6	ā31	ā31	NOUN
ejpam-6042	181	7	=	=	SYM
ejpam-6042	181	8	−	−	PROPN
ejpam-6042	181	9	1288	1288	NUM
ejpam-6042	181	10	452405	452405	NUM
ejpam-6042	181	11	,	,	PUNCT
ejpam-6042	181	12	we	we	PRON
ejpam-6042	181	13	have	have	VERB
ejpam-6042	181	14	∥∥τ	∥∥τ	ADJ
ejpam-6042	181	15	(	(	PUNCT
ejpam-6042	181	16	6)∥∥	6)∥∥	NOUN
ejpam-6042	181	17	2	2	NUM
ejpam-6042	182	1	≈	≈	PROPN
ejpam-6042	182	2	1.626	1.626	NUM
ejpam-6042	182	3	×	×	NOUN
ejpam-6042	182	4	10−3	10−3	NUM
ejpam-6042	182	5	and	and	CCONJ
ejpam-6042	182	6	∥∥∥τ	∥∥∥τ	NOUN
ejpam-6042	182	7	′(6)∥∥∥	′(6)∥∥∥	PROPN
ejpam-6042	182	8	2	2	NUM
ejpam-6042	183	1	≈	≈	PROPN
ejpam-6042	183	2	4.599	4.599	NUM
ejpam-6042	183	3	×	×	NOUN
ejpam-6042	183	4	10−3	10−3	NUM
ejpam-6042	183	5	.	.	PUNCT
ejpam-6042	184	1	so	so	ADV
ejpam-6042	184	2	far	far	ADV
ejpam-6042	184	3	,	,	PUNCT
ejpam-6042	184	4	we	we	PRON
ejpam-6042	184	5	have	have	AUX
ejpam-6042	184	6	preliminarily	preliminarily	ADV
ejpam-6042	184	7	completed	complete	VERB
ejpam-6042	184	8	the	the	DET
ejpam-6042	184	9	construction	construction	NOUN
ejpam-6042	184	10	of	of	ADP
ejpam-6042	184	11	the	the	DET
ejpam-6042	184	12	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	184	13	)	)	PUNCT
ejpam-6042	184	14	method	method	NOUN
ejpam-6042	184	15	.	.	PUNCT
ejpam-6042	185	1	z.	z.	PROPN
ejpam-6042	185	2	sun	sun	PROPN
ejpam-6042	185	3	et	et	PROPN
ejpam-6042	185	4	al	al	PROPN
ejpam-6042	185	5	.	.	PUNCT
ejpam-6042	185	6	/	/	SYM
ejpam-6042	185	7	eur	eur	PROPN
ejpam-6042	185	8	.	.	PUNCT
ejpam-6042	186	1	j.	j.	PROPN
ejpam-6042	186	2	pure	pure	PROPN
ejpam-6042	186	3	appl	appl	PROPN
ejpam-6042	186	4	.	.	PROPN
ejpam-6042	186	5	math	math	PROPN
ejpam-6042	186	6	,	,	PUNCT
ejpam-6042	186	7	18	18	NUM
ejpam-6042	186	8	(	(	PUNCT
ejpam-6042	186	9	4	4	NUM
ejpam-6042	186	10	)	)	PUNCT
ejpam-6042	186	11	(	(	PUNCT
ejpam-6042	186	12	2025	2025	NUM
ejpam-6042	186	13	)	)	PUNCT
ejpam-6042	186	14	,	,	PUNCT
ejpam-6042	186	15	6042	6042	NUM
ejpam-6042	186	16	9	9	NUM
ejpam-6042	186	17	of	of	ADP
ejpam-6042	186	18	45	45	NUM
ejpam-6042	186	19	4	4	NUM
ejpam-6042	186	20	.	.	PUNCT
ejpam-6042	187	1	implementation	implementation	NOUN
ejpam-6042	187	2	of	of	ADP
ejpam-6042	187	3	the	the	DET
ejpam-6042	187	4	trigonometrically	trigonometrically	ADV
ejpam-6042	187	5	-	-	PUNCT
ejpam-6042	187	6	fitting	fit	VERB
ejpam-6042	187	7	technique	technique	NOUN
ejpam-6042	187	8	firstly	firstly	ADV
ejpam-6042	187	9	,	,	PUNCT
ejpam-6042	187	10	we	we	PRON
ejpam-6042	187	11	look	look	VERB
ejpam-6042	187	12	back	back	ADV
ejpam-6042	187	13	to	to	ADP
ejpam-6042	187	14	the	the	DET
ejpam-6042	187	15	scheme	scheme	NOUN
ejpam-6042	187	16	(	(	PUNCT
ejpam-6042	187	17	3	3	NUM
ejpam-6042	187	18	)	)	PUNCT
ejpam-6042	187	19	,	,	PUNCT
ejpam-6042	187	20	we	we	PRON
ejpam-6042	187	21	add	add	VERB
ejpam-6042	187	22	χ̄i	χ̄i	ADJ
ejpam-6042	187	23	in	in	ADP
ejpam-6042	187	24	front	front	NOUN
ejpam-6042	187	25	of	of	ADP
ejpam-6042	187	26	un	un	PROPN
ejpam-6042	187	27	in	in	ADP
ejpam-6042	187	28	u	u	NOUN
ejpam-6042	187	29	and	and	CCONJ
ejpam-6042	187	30	χ̃i	χ̃i	NOUN
ejpam-6042	187	31	in	in	ADP
ejpam-6042	187	32	front	front	NOUN
ejpam-6042	187	33	of	of	ADP
ejpam-6042	187	34	f	f	PROPN
ejpam-6042	187	35	(	(	PUNCT
ejpam-6042	187	36	tn	tn	PROPN
ejpam-6042	187	37	,	,	PUNCT
ejpam-6042	187	38	un	un	PROPN
ejpam-6042	187	39	)	)	PUNCT
ejpam-6042	187	40	in	in	ADP
ejpam-6042	187	41	u	u	NOUN
ejpam-6042	187	42	′	′	NOUN
ejpam-6042	187	43	i	i	PRON
ejpam-6042	187	44	and	and	CCONJ
ejpam-6042	187	45	set	set	VERB
ejpam-6042	187	46	χ̄	χ̄	ADJ
ejpam-6042	187	47	=	=	SYM
ejpam-6042	187	48	(	(	PUNCT
ejpam-6042	187	49	χ̄1	χ̄1	X
ejpam-6042	187	50	,	,	PUNCT
ejpam-6042	187	51	·	·	PUNCT
ejpam-6042	187	52	·	·	PUNCT
ejpam-6042	187	53	·	·	PUNCT
ejpam-6042	187	54	,	,	PUNCT
ejpam-6042	187	55	χ̄s	χ̄s	PROPN
ejpam-6042	187	56	)	)	PUNCT
ejpam-6042	187	57	t	t	PROPN
ejpam-6042	187	58	and	and	CCONJ
ejpam-6042	187	59	χ̃	χ̃	PROPN
ejpam-6042	187	60	=	=	PROPN
ejpam-6042	187	61	(	(	PUNCT
ejpam-6042	187	62	χ̃1	χ̃1	PROPN
ejpam-6042	187	63	,	,	PUNCT
ejpam-6042	187	64	·	·	PUNCT
ejpam-6042	187	65	·	·	PUNCT
ejpam-6042	187	66	·	·	PUNCT
ejpam-6042	187	67	,	,	PUNCT
ejpam-6042	187	68	χ̃s	χ̃s	PROPN
ejpam-6042	187	69	)	)	PUNCT
ejpam-6042	187	70	t	t	NOUN
ejpam-6042	187	71	.	.	PUNCT
ejpam-6042	188	1	the	the	DET
ejpam-6042	188	2	introduction	introduction	NOUN
ejpam-6042	188	3	of	of	ADP
ejpam-6042	188	4	these	these	DET
ejpam-6042	188	5	two	two	NUM
ejpam-6042	188	6	new	new	ADJ
ejpam-6042	188	7	coefficent	coefficent	NOUN
ejpam-6042	188	8	vectors	vector	NOUN
ejpam-6042	188	9	is	be	AUX
ejpam-6042	188	10	the	the	DET
ejpam-6042	188	11	first	first	ADJ
ejpam-6042	188	12	step	step	NOUN
ejpam-6042	188	13	for	for	ADP
ejpam-6042	188	14	our	our	PRON
ejpam-6042	188	15	trigonometrically	trigonometrically	ADV
ejpam-6042	188	16	-	-	PUNCT
ejpam-6042	188	17	fitting	fit	VERB
ejpam-6042	188	18	technique	technique	NOUN
ejpam-6042	188	19	.	.	PUNCT
ejpam-6042	189	1	rewriting	rewrite	VERB
ejpam-6042	189	2	the	the	DET
ejpam-6042	189	3	scheme	scheme	NOUN
ejpam-6042	189	4	(	(	PUNCT
ejpam-6042	189	5	3	3	NUM
ejpam-6042	189	6	)	)	PUNCT
ejpam-6042	189	7	,	,	PUNCT
ejpam-6042	189	8	we	we	PRON
ejpam-6042	189	9	get	get	VERB
ejpam-6042	189	10	un+1	un+1	ADV
ejpam-6042	189	11	=	=	SYM
ejpam-6042	189	12	un	un	PROPN
ejpam-6042	189	13	+	+	CCONJ
ejpam-6042	189	14	hu′n	hu′n	NOUN
ejpam-6042	189	15	+	+	CCONJ
ejpam-6042	189	16	h2	h2	NOUN
ejpam-6042	189	17	2	2	NUM
ejpam-6042	189	18	f	f	PROPN
ejpam-6042	189	19	(	(	PUNCT
ejpam-6042	189	20	tn	tn	PROPN
ejpam-6042	189	21	,	,	PUNCT
ejpam-6042	189	22	un	un	ADJ
ejpam-6042	189	23	)	)	PUNCT
ejpam-6042	189	24	+	+	NUM
ejpam-6042	189	25	h3	h3	NOUN
ejpam-6042	190	1	s∑	s∑	PROPN
ejpam-6042	190	2	i=1	i=1	PROPN
ejpam-6042	191	1	d̄ig	d̄ig	PROPN
ejpam-6042	191	2	(	(	PUNCT
ejpam-6042	191	3	tn	tn	NOUN
ejpam-6042	191	4	+	+	CCONJ
ejpam-6042	191	5	cih	cih	PROPN
ejpam-6042	191	6	,	,	PUNCT
ejpam-6042	191	7	ui	ui	PROPN
ejpam-6042	191	8	,	,	PUNCT
ejpam-6042	191	9	u	u	NOUN
ejpam-6042	191	10	′	′	NUM
ejpam-6042	191	11	i	i	NOUN
ejpam-6042	191	12	)	)	PUNCT
ejpam-6042	191	13	,	,	PUNCT
ejpam-6042	191	14	u′n+1	u′n+1	PROPN
ejpam-6042	191	15	=	=	PUNCT
ejpam-6042	192	1	u′n	u′n	PROPN
ejpam-6042	192	2	+	+	CCONJ
ejpam-6042	192	3	hf	hf	PROPN
ejpam-6042	192	4	(	(	PUNCT
ejpam-6042	192	5	tn	tn	PROPN
ejpam-6042	192	6	,	,	PUNCT
ejpam-6042	192	7	un	un	ADJ
ejpam-6042	192	8	)	)	PUNCT
ejpam-6042	192	9	+	+	NUM
ejpam-6042	192	10	h2	h2	NOUN
ejpam-6042	192	11	s∑	s∑	PROPN
ejpam-6042	192	12	i=1	i=1	PROPN
ejpam-6042	193	1	d̃ig	d̃ig	PROPN
ejpam-6042	193	2	(	(	PUNCT
ejpam-6042	193	3	tn	tn	NOUN
ejpam-6042	193	4	+	+	CCONJ
ejpam-6042	193	5	cih	cih	PROPN
ejpam-6042	193	6	,	,	PUNCT
ejpam-6042	193	7	ui	ui	PROPN
ejpam-6042	193	8	,	,	PUNCT
ejpam-6042	193	9	u	u	NOUN
ejpam-6042	193	10	′	′	NUM
ejpam-6042	193	11	i	i	NOUN
ejpam-6042	193	12	)	)	PUNCT
ejpam-6042	193	13	,	,	PUNCT
ejpam-6042	193	14	ui	ui	NOUN
ejpam-6042	193	15	=	=	PUNCT
ejpam-6042	193	16	χ̄iun	χ̄iun	PROPN
ejpam-6042	194	1	+	+	NUM
ejpam-6042	194	2	cihu	cihu	NOUN
ejpam-6042	194	3	′	′	PROPN
ejpam-6042	195	1	n	n	PROPN
ejpam-6042	195	2	+	+	CCONJ
ejpam-6042	195	3	1	1	NUM
ejpam-6042	195	4	2	2	NUM
ejpam-6042	195	5	(	(	PUNCT
ejpam-6042	195	6	cih	cih	NOUN
ejpam-6042	195	7	)	)	PUNCT
ejpam-6042	195	8	2f	2f	NUM
ejpam-6042	195	9	(	(	PUNCT
ejpam-6042	195	10	tn	tn	PROPN
ejpam-6042	195	11	,	,	PUNCT
ejpam-6042	195	12	un	un	ADJ
ejpam-6042	195	13	)	)	PUNCT
ejpam-6042	195	14	+	+	NUM
ejpam-6042	195	15	h3	h3	NOUN
ejpam-6042	195	16	s∑	s∑	PROPN
ejpam-6042	195	17	i=1	i=1	PRON
ejpam-6042	195	18	āijg	āijg	PROPN
ejpam-6042	195	19	(	(	PUNCT
ejpam-6042	195	20	tn	tn	PROPN
ejpam-6042	195	21	+	+	CCONJ
ejpam-6042	195	22	cih	cih	PROPN
ejpam-6042	195	23	,	,	PUNCT
ejpam-6042	195	24	uj	uj	PROPN
ejpam-6042	195	25	,	,	PUNCT
ejpam-6042	195	26	u	u	NOUN
ejpam-6042	195	27	′	′	PROPN
ejpam-6042	195	28	j	j	PROPN
ejpam-6042	195	29	)	)	PUNCT
ejpam-6042	195	30	,	,	PUNCT
ejpam-6042	195	31	u	u	NOUN
ejpam-6042	195	32	′	′	NOUN
ejpam-6042	196	1	i	i	NOUN
ejpam-6042	196	2	=	=	PUNCT
ejpam-6042	197	1	u′n	u′n	PROPN
ejpam-6042	197	2	+	+	CCONJ
ejpam-6042	197	3	χ̃icihf	χ̃icihf	PROPN
ejpam-6042	197	4	(	(	PUNCT
ejpam-6042	197	5	tn	tn	PROPN
ejpam-6042	197	6	,	,	PUNCT
ejpam-6042	197	7	un	un	ADJ
ejpam-6042	197	8	)	)	PUNCT
ejpam-6042	197	9	+	+	NUM
ejpam-6042	197	10	h2	h2	NOUN
ejpam-6042	197	11	s∑	s∑	PROPN
ejpam-6042	197	12	i=1	i=1	PROPN
ejpam-6042	198	1	ãijg	ãijg	NOUN
ejpam-6042	198	2	(	(	PUNCT
ejpam-6042	198	3	tn	tn	PROPN
ejpam-6042	198	4	+	+	CCONJ
ejpam-6042	198	5	cih	cih	PROPN
ejpam-6042	198	6	,	,	PUNCT
ejpam-6042	198	7	uj	uj	PROPN
ejpam-6042	198	8	,	,	PUNCT
ejpam-6042	198	9	u	u	NOUN
ejpam-6042	198	10	′	′	PROPN
ejpam-6042	198	11	j	j	PROPN
ejpam-6042	198	12	)	)	PUNCT
ejpam-6042	198	13	,	,	PUNCT
ejpam-6042	198	14	(	(	PUNCT
ejpam-6042	198	15	22	22	X
ejpam-6042	198	16	)	)	PUNCT
ejpam-6042	198	17	the	the	DET
ejpam-6042	198	18	butcher	butcher	NOUN
ejpam-6042	198	19	tableau	tableau	PROPN
ejpam-6042	198	20	for	for	ADP
ejpam-6042	198	21	the	the	DET
ejpam-6042	198	22	renewable	renewable	ADJ
ejpam-6042	198	23	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	198	24	)	)	PUNCT
ejpam-6042	198	25	method	method	NOUN
ejpam-6042	198	26	is	be	AUX
ejpam-6042	198	27	table	table	NOUN
ejpam-6042	198	28	3	3	NUM
ejpam-6042	198	29	:	:	PUNCT
ejpam-6042	198	30	butcher	butcher	PROPN
ejpam-6042	198	31	tableau	tableau	PROPN
ejpam-6042	198	32	for	for	ADP
ejpam-6042	198	33	the	the	DET
ejpam-6042	198	34	renewable	renewable	ADJ
ejpam-6042	198	35	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	198	36	)	)	PUNCT
ejpam-6042	198	37	method	method	NOUN
ejpam-6042	198	38	.	.	PUNCT
ejpam-6042	199	1	c	c	PROPN
ejpam-6042	199	2	χ̄	χ̄	VERB
ejpam-6042	199	3	χ̃	χ̃	PROPN
ejpam-6042	199	4	ā	ā	NOUN
ejpam-6042	199	5	ã	ã	PROPN
ejpam-6042	199	6	d̄	d̄	PROPN
ejpam-6042	199	7	d̃i	d̃i	ADV
ejpam-6042	199	8	then	then	ADV
ejpam-6042	199	9	,	,	PUNCT
ejpam-6042	199	10	we	we	PRON
ejpam-6042	199	11	integrate	integrate	VERB
ejpam-6042	199	12	the	the	DET
ejpam-6042	199	13	exponential	exponential	ADJ
ejpam-6042	199	14	terms	term	NOUN
ejpam-6042	199	15	,	,	PUNCT
ejpam-6042	199	16	eiλt	eiλt	ADJ
ejpam-6042	199	17	and	and	CCONJ
ejpam-6042	199	18	e−iλt	e−iλt	NOUN
ejpam-6042	199	19	at	at	ADP
ejpam-6042	199	20	every	every	DET
ejpam-6042	199	21	stage	stage	NOUN
ejpam-6042	199	22	and	and	CCONJ
ejpam-6042	199	23	w	w	NOUN
ejpam-6042	199	24	=	=	PUNCT
ejpam-6042	199	25	λh	λh	ADP
ejpam-6042	199	26	with	with	ADP
ejpam-6042	199	27	λ	λ	PROPN
ejpam-6042	199	28	∈	∈	PROPN
ejpam-6042	199	29	r	r	NOUN
ejpam-6042	199	30	,	,	PUNCT
ejpam-6042	199	31	we	we	PRON
ejpam-6042	199	32	obtain	obtain	VERB
ejpam-6042	199	33	e±iciw	e±iciw	NOUN
ejpam-6042	199	34	=	=	SYM
ejpam-6042	199	35	χ̄i	χ̄i	ADJ
ejpam-6042	199	36	±	±	NOUN
ejpam-6042	199	37	iciw	iciw	NOUN
ejpam-6042	199	38	−	−	PROPN
ejpam-6042	199	39	1	1	NUM
ejpam-6042	199	40	2	2	NUM
ejpam-6042	199	41	(	(	PUNCT
ejpam-6042	199	42	ciw	ciw	NOUN
ejpam-6042	199	43	)	)	PUNCT
ejpam-6042	199	44	2	2	NUM
ejpam-6042	199	45	∓	∓	NOUN
ejpam-6042	199	46	iw3	iw3	VERB
ejpam-6042	199	47	3∑	3∑	PROPN
ejpam-6042	199	48	i=1	i=1	PROPN
ejpam-6042	199	49	āije	āije	PROPN
ejpam-6042	199	50	±icjw	±icjw	PROPN
ejpam-6042	199	51	,	,	PUNCT
ejpam-6042	199	52	e±iciw	e±iciw	NOUN
ejpam-6042	199	53	=	=	SYM
ejpam-6042	199	54	1±	1±	NUM
ejpam-6042	199	55	iχ̃iciw	iχ̃iciw	NOUN
ejpam-6042	199	56	−	−	PROPN
ejpam-6042	199	57	w2	w2	NOUN
ejpam-6042	199	58	3∑	3∑	PROPN
ejpam-6042	199	59	i=1	i=1	PROPN
ejpam-6042	199	60	ãije	ãije	PROPN
ejpam-6042	199	61	±icjw	±icjw	PROPN
ejpam-6042	199	62	.	.	PUNCT
ejpam-6042	200	1	(	(	PUNCT
ejpam-6042	200	2	23	23	NUM
ejpam-6042	200	3	)	)	PUNCT
ejpam-6042	200	4	the	the	DET
ejpam-6042	200	5	equations	equation	NOUN
ejpam-6042	200	6	corresponding	correspond	VERB
ejpam-6042	200	7	to	to	ADP
ejpam-6042	200	8	u	u	NOUN
ejpam-6042	200	9	and	and	CCONJ
ejpam-6042	200	10	u′	u′	PRON
ejpam-6042	200	11	are	be	AUX
ejpam-6042	200	12	as	as	SCONJ
ejpam-6042	200	13	follows	follow	VERB
ejpam-6042	200	14	e±iw	e±iw	ADV
ejpam-6042	200	15	=	=	PUNCT
ejpam-6042	200	16	1±	1±	NUM
ejpam-6042	200	17	iw	iw	INTJ
ejpam-6042	200	18	−	−	NUM
ejpam-6042	200	19	1	1	NUM
ejpam-6042	200	20	2	2	NUM
ejpam-6042	200	21	w2	w2	NOUN
ejpam-6042	200	22	∓	∓	PROPN
ejpam-6042	200	23	iw3	iw3	VERB
ejpam-6042	200	24	3∑	3∑	PROPN
ejpam-6042	200	25	i=1	i=1	PROPN
ejpam-6042	200	26	d̄ie	d̄ie	PROPN
ejpam-6042	200	27	±iciw	±iciw	PROPN
ejpam-6042	200	28	,	,	PUNCT
ejpam-6042	200	29	e±iw	e±iw	ADV
ejpam-6042	200	30	=	=	SYM
ejpam-6042	201	1	1±	1±	NUM
ejpam-6042	201	2	iw	iw	NOUN
ejpam-6042	201	3	−	−	PROPN
ejpam-6042	201	4	w2	w2	NOUN
ejpam-6042	201	5	3∑	3∑	PROPN
ejpam-6042	201	6	i=1	i=1	PROPN
ejpam-6042	201	7	d̃ie	d̃ie	PROPN
ejpam-6042	201	8	±iciw	±iciw	NOUN
ejpam-6042	201	9	.	.	PUNCT
ejpam-6042	202	1	(	(	PUNCT
ejpam-6042	202	2	24	24	NUM
ejpam-6042	202	3	)	)	PUNCT
ejpam-6042	202	4	the	the	DET
ejpam-6042	202	5	relation	relation	NOUN
ejpam-6042	202	6	cosw	cosw	NOUN
ejpam-6042	202	7	=	=	NOUN
ejpam-6042	202	8	1	1	NUM
ejpam-6042	202	9	2	2	NUM
ejpam-6042	202	10	(	(	PUNCT
ejpam-6042	202	11	eiw	eiw	NOUN
ejpam-6042	202	12	+	+	X
ejpam-6042	202	13	e−iw	e−iw	NOUN
ejpam-6042	202	14	)	)	PUNCT
ejpam-6042	202	15	,	,	PUNCT
ejpam-6042	202	16	sinw	sinw	NOUN
ejpam-6042	202	17	=	=	SYM
ejpam-6042	202	18	1	1	NUM
ejpam-6042	202	19	2i	2i	NUM
ejpam-6042	202	20	(	(	PUNCT
ejpam-6042	202	21	eiw	eiw	NOUN
ejpam-6042	202	22	−	−	PROPN
ejpam-6042	202	23	e−iw	e−iw	PROPN
ejpam-6042	202	24	)	)	PUNCT
ejpam-6042	202	25	,	,	PUNCT
ejpam-6042	202	26	cos	cos	PROPN
ejpam-6042	202	27	(	(	PUNCT
ejpam-6042	202	28	ciw	ciw	PROPN
ejpam-6042	202	29	)	)	PUNCT
ejpam-6042	202	30	=	=	SYM
ejpam-6042	202	31	1	1	NUM
ejpam-6042	202	32	2	2	NUM
ejpam-6042	202	33	(	(	PUNCT
ejpam-6042	202	34	eiciw	eiciw	NOUN
ejpam-6042	202	35	+	+	CCONJ
ejpam-6042	202	36	e−iciw	e−iciw	PROPN
ejpam-6042	202	37	)	)	PUNCT
ejpam-6042	202	38	,	,	PUNCT
ejpam-6042	202	39	sin	sin	NOUN
ejpam-6042	202	40	(	(	PUNCT
ejpam-6042	202	41	ciw	ciw	NOUN
ejpam-6042	202	42	)	)	PUNCT
ejpam-6042	202	43	=	=	SYM
ejpam-6042	202	44	1	1	NUM
ejpam-6042	202	45	2i	2i	NUM
ejpam-6042	202	46	(	(	PUNCT
ejpam-6042	202	47	eiciw	eiciw	NOUN
ejpam-6042	202	48	−	−	PROPN
ejpam-6042	202	49	e−iciw	e−iciw	PROPN
ejpam-6042	202	50	)	)	PUNCT
ejpam-6042	202	51	(	(	PUNCT
ejpam-6042	202	52	25	25	NUM
ejpam-6042	202	53	)	)	PUNCT
ejpam-6042	202	54	z.	z.	PROPN
ejpam-6042	202	55	sun	sun	PROPN
ejpam-6042	202	56	et	et	PROPN
ejpam-6042	202	57	al	al	PROPN
ejpam-6042	202	58	.	.	PUNCT
ejpam-6042	202	59	/	/	SYM
ejpam-6042	202	60	eur	eur	PROPN
ejpam-6042	202	61	.	.	PUNCT
ejpam-6042	203	1	j.	j.	PROPN
ejpam-6042	203	2	pure	pure	PROPN
ejpam-6042	203	3	appl	appl	PROPN
ejpam-6042	203	4	.	.	PROPN
ejpam-6042	203	5	math	math	PROPN
ejpam-6042	203	6	,	,	PUNCT
ejpam-6042	203	7	18	18	NUM
ejpam-6042	203	8	(	(	PUNCT
ejpam-6042	203	9	4	4	NUM
ejpam-6042	203	10	)	)	PUNCT
ejpam-6042	203	11	(	(	PUNCT
ejpam-6042	203	12	2025	2025	NUM
ejpam-6042	203	13	)	)	PUNCT
ejpam-6042	203	14	,	,	PUNCT
ejpam-6042	203	15	6042	6042	NUM
ejpam-6042	203	16	10	10	NUM
ejpam-6042	203	17	of	of	ADP
ejpam-6042	203	18	45	45	NUM
ejpam-6042	203	19	are	be	AUX
ejpam-6042	203	20	substituted	substitute	VERB
ejpam-6042	203	21	in	in	ADP
ejpam-6042	203	22	the	the	DET
ejpam-6042	203	23	equation	equation	NOUN
ejpam-6042	203	24	(	(	PUNCT
ejpam-6042	203	25	25	25	NUM
ejpam-6042	203	26	)	)	PUNCT
ejpam-6042	203	27	,	,	PUNCT
ejpam-6042	203	28	then	then	ADV
ejpam-6042	203	29	we	we	PRON
ejpam-6042	203	30	obtain	obtain	VERB
ejpam-6042	203	31	the	the	DET
ejpam-6042	203	32	trigonometric	trigonometric	ADJ
ejpam-6042	203	33	functions	function	NOUN
ejpam-6042	203	34	in	in	ADP
ejpam-6042	203	35	terms	term	NOUN
ejpam-6042	203	36	of	of	ADP
ejpam-6042	203	37	w	w	NOUN
ejpam-6042	203	38	cosw	cosw	NOUN
ejpam-6042	203	39	=	=	SYM
ejpam-6042	203	40	1−	1−	NUM
ejpam-6042	203	41	1	1	NUM
ejpam-6042	203	42	2	2	NUM
ejpam-6042	203	43	w2	w2	NOUN
ejpam-6042	203	44	+	+	CCONJ
ejpam-6042	203	45	w3	w3	PROPN
ejpam-6042	203	46	3∑	3∑	NUM
ejpam-6042	203	47	i=1	i=1	PROPN
ejpam-6042	203	48	d̄i	d̄i	ADJ
ejpam-6042	203	49	sin	sin	NOUN
ejpam-6042	203	50	(	(	PUNCT
ejpam-6042	203	51	ciw	ciw	PROPN
ejpam-6042	203	52	)	)	PUNCT
ejpam-6042	203	53	,	,	PUNCT
ejpam-6042	203	54	sinw	sinw	NOUN
ejpam-6042	203	55	=	=	SYM
ejpam-6042	203	56	w	w	PROPN
ejpam-6042	203	57	−	−	PROPN
ejpam-6042	203	58	w3	w3	PROPN
ejpam-6042	203	59	3∑	3∑	PROPN
ejpam-6042	203	60	i=1	i=1	PROPN
ejpam-6042	204	1	d̄i	d̄i	PROPN
ejpam-6042	204	2	cos	cos	PROPN
ejpam-6042	204	3	(	(	PUNCT
ejpam-6042	204	4	ciw	ciw	PROPN
ejpam-6042	204	5	)	)	PUNCT
ejpam-6042	204	6	,	,	PUNCT
ejpam-6042	204	7	cosw	cosw	NOUN
ejpam-6042	204	8	=	=	SYM
ejpam-6042	204	9	1−	1−	NUM
ejpam-6042	204	10	w2	w2	NOUN
ejpam-6042	204	11	3∑	3∑	PROPN
ejpam-6042	204	12	i=1	i=1	PROPN
ejpam-6042	204	13	d̃i	d̃i	ADJ
ejpam-6042	204	14	cos	cos	PROPN
ejpam-6042	204	15	(	(	PUNCT
ejpam-6042	204	16	ciw	ciw	PROPN
ejpam-6042	204	17	)	)	PUNCT
ejpam-6042	204	18	,	,	PUNCT
ejpam-6042	204	19	sinw	sinw	NOUN
ejpam-6042	204	20	=	=	SYM
ejpam-6042	204	21	w	w	PROPN
ejpam-6042	204	22	−	−	PROPN
ejpam-6042	204	23	w2	w2	NOUN
ejpam-6042	204	24	3∑	3∑	PROPN
ejpam-6042	204	25	i=1	i=1	PROPN
ejpam-6042	204	26	d̃i	d̃i	ADJ
ejpam-6042	204	27	sin	sin	NOUN
ejpam-6042	204	28	(	(	PUNCT
ejpam-6042	204	29	ciw	ciw	PROPN
ejpam-6042	204	30	)	)	PUNCT
ejpam-6042	204	31	,	,	PUNCT
ejpam-6042	204	32	cos	cos	PROPN
ejpam-6042	204	33	(	(	PUNCT
ejpam-6042	204	34	ciw	ciw	PROPN
ejpam-6042	204	35	)	)	PUNCT
ejpam-6042	204	36	=	=	SYM
ejpam-6042	205	1	1−	1−	NUM
ejpam-6042	205	2	1	1	NUM
ejpam-6042	205	3	2	2	NUM
ejpam-6042	205	4	(	(	PUNCT
ejpam-6042	205	5	ciw	ciw	NOUN
ejpam-6042	205	6	)	)	PUNCT
ejpam-6042	205	7	2	2	NUM
ejpam-6042	206	1	+	+	NUM
ejpam-6042	206	2	w3	w3	PROPN
ejpam-6042	206	3	3∑	3∑	PROPN
ejpam-6042	206	4	i=1	i=1	PROPN
ejpam-6042	206	5	āij	āij	PROPN
ejpam-6042	206	6	sin	sin	NOUN
ejpam-6042	206	7	(	(	PUNCT
ejpam-6042	206	8	cjw	cjw	PROPN
ejpam-6042	206	9	)	)	PUNCT
ejpam-6042	206	10	,	,	PUNCT
ejpam-6042	206	11	sin	sin	NOUN
ejpam-6042	206	12	(	(	PUNCT
ejpam-6042	206	13	ciw	ciw	NOUN
ejpam-6042	206	14	)	)	PUNCT
ejpam-6042	206	15	=	=	PROPN
ejpam-6042	206	16	ciw	ciw	PROPN
ejpam-6042	206	17	−	−	PROPN
ejpam-6042	206	18	w3	w3	PROPN
ejpam-6042	206	19	3∑	3∑	PROPN
ejpam-6042	206	20	i=1	i=1	PROPN
ejpam-6042	206	21	āij	āij	PROPN
ejpam-6042	206	22	cos	cos	PROPN
ejpam-6042	206	23	(	(	PUNCT
ejpam-6042	206	24	cjw	cjw	PROPN
ejpam-6042	206	25	)	)	PUNCT
ejpam-6042	206	26	,	,	PUNCT
ejpam-6042	206	27	cos	cos	PROPN
ejpam-6042	206	28	(	(	PUNCT
ejpam-6042	206	29	ciw	ciw	PROPN
ejpam-6042	206	30	)	)	PUNCT
ejpam-6042	206	31	=	=	PROPN
ejpam-6042	206	32	1−	1−	NUM
ejpam-6042	206	33	w2	w2	NOUN
ejpam-6042	206	34	3∑	3∑	PROPN
ejpam-6042	206	35	i=1	i=1	PROPN
ejpam-6042	206	36	ãij	ãij	PROPN
ejpam-6042	206	37	cos	cos	PROPN
ejpam-6042	206	38	(	(	PUNCT
ejpam-6042	206	39	cjw	cjw	PROPN
ejpam-6042	206	40	)	)	PUNCT
ejpam-6042	206	41	,	,	PUNCT
ejpam-6042	206	42	sin	sin	NOUN
ejpam-6042	206	43	(	(	PUNCT
ejpam-6042	206	44	ciw	ciw	NOUN
ejpam-6042	206	45	)	)	PUNCT
ejpam-6042	206	46	=	=	PROPN
ejpam-6042	206	47	ciw	ciw	PROPN
ejpam-6042	206	48	−	−	PROPN
ejpam-6042	206	49	w2	w2	NOUN
ejpam-6042	206	50	3∑	3∑	PROPN
ejpam-6042	206	51	i=1	i=1	PROPN
ejpam-6042	206	52	ãij	ãij	PROPN
ejpam-6042	206	53	sin	sin	NOUN
ejpam-6042	206	54	(	(	PUNCT
ejpam-6042	206	55	cjw	cjw	PROPN
ejpam-6042	206	56	)	)	PUNCT
ejpam-6042	206	57	.	.	PUNCT
ejpam-6042	207	1	(	(	PUNCT
ejpam-6042	207	2	26	26	NUM
ejpam-6042	207	3	)	)	PUNCT
ejpam-6042	207	4	the	the	DET
ejpam-6042	207	5	trigonometrically	trigonometrically	ADV
ejpam-6042	207	6	-	-	PUNCT
ejpam-6042	207	7	fitted	fit	VERB
ejpam-6042	207	8	coefficients	coefficient	NOUN
ejpam-6042	207	9	āij	āij	PROPN
ejpam-6042	207	10	(	(	PUNCT
ejpam-6042	207	11	w	w	NOUN
ejpam-6042	207	12	)	)	PUNCT
ejpam-6042	207	13	and	and	CCONJ
ejpam-6042	207	14	ãij	ãij	PROPN
ejpam-6042	207	15	(	(	PUNCT
ejpam-6042	207	16	w	w	NOUN
ejpam-6042	207	17	)	)	PUNCT
ejpam-6042	207	18	can	can	AUX
ejpam-6042	207	19	be	be	AUX
ejpam-6042	207	20	obtained	obtain	VERB
ejpam-6042	207	21	by	by	ADP
ejpam-6042	207	22	āi	āi	PROPN
ejpam-6042	207	23	,	,	PUNCT
ejpam-6042	207	24	i−1	i−1	PROPN
ejpam-6042	207	25	(	(	PUNCT
ejpam-6042	207	26	w	w	NOUN
ejpam-6042	207	27	)	)	PUNCT
ejpam-6042	207	28	=	=	SYM
ejpam-6042	207	29	cos	cos	X
ejpam-6042	207	30	(	(	PUNCT
ejpam-6042	207	31	cjw)−	cjw)−	NOUN
ejpam-6042	207	32	1	1	NUM
ejpam-6042	207	33	+	+	CCONJ
ejpam-6042	207	34	1	1	NUM
ejpam-6042	207	35	2(ciw	2(ciw	NUM
ejpam-6042	207	36	)	)	PUNCT
ejpam-6042	207	37	2	2	NUM
ejpam-6042	207	38	−	−	PROPN
ejpam-6042	207	39	w3	w3	PROPN
ejpam-6042	207	40	i−2∑	i−2∑	PROPN
ejpam-6042	207	41	j=1	j=1	PROPN
ejpam-6042	207	42	āij	āij	PROPN
ejpam-6042	207	43	sin	sin	NOUN
ejpam-6042	207	44	(	(	PUNCT
ejpam-6042	207	45	cjw	cjw	PROPN
ejpam-6042	207	46	)	)	PUNCT
ejpam-6042	207	47	w3	w3	PROPN
ejpam-6042	207	48	sin	sin	NOUN
ejpam-6042	207	49	(	(	PUNCT
ejpam-6042	207	50	ci−1w	ci−1w	NOUN
ejpam-6042	207	51	)	)	PUNCT
ejpam-6042	207	52	,	,	PUNCT
ejpam-6042	207	53	ãi	ãi	PROPN
ejpam-6042	207	54	,	,	PUNCT
ejpam-6042	207	55	i−1	i−1	PROPN
ejpam-6042	207	56	(	(	PUNCT
ejpam-6042	207	57	w	w	NOUN
ejpam-6042	207	58	)	)	PUNCT
ejpam-6042	207	59	=	=	SYM
ejpam-6042	207	60	1−	1−	NUM
ejpam-6042	207	61	cos	cos	X
ejpam-6042	207	62	(	(	PUNCT
ejpam-6042	207	63	cjw)−	cjw)−	PROPN
ejpam-6042	207	64	w2	w2	NOUN
ejpam-6042	207	65	i−2∑	i−2∑	PROPN
ejpam-6042	207	66	j=1	j=1	PROPN
ejpam-6042	207	67	ãij	ãij	PROPN
ejpam-6042	207	68	cos	cos	PROPN
ejpam-6042	207	69	(	(	PUNCT
ejpam-6042	207	70	cjw	cjw	PROPN
ejpam-6042	207	71	)	)	PUNCT
ejpam-6042	207	72	w2	w2	PROPN
ejpam-6042	207	73	cos	cos	PROPN
ejpam-6042	207	74	(	(	PUNCT
ejpam-6042	207	75	ci−1w	ci−1w	NOUN
ejpam-6042	207	76	)	)	PUNCT
ejpam-6042	207	77	.	.	PUNCT
ejpam-6042	208	1	(	(	PUNCT
ejpam-6042	208	2	27	27	NUM
ejpam-6042	208	3	)	)	PUNCT
ejpam-6042	208	4	then	then	ADV
ejpam-6042	208	5	χ̄i	χ̄i	X
ejpam-6042	208	6	(	(	PUNCT
ejpam-6042	208	7	w	w	NOUN
ejpam-6042	208	8	)	)	PUNCT
ejpam-6042	208	9	and	and	CCONJ
ejpam-6042	208	10	χ̃i	χ̃i	NOUN
ejpam-6042	208	11	(	(	PUNCT
ejpam-6042	208	12	w	w	NOUN
ejpam-6042	208	13	)	)	PUNCT
ejpam-6042	208	14	are	be	AUX
ejpam-6042	208	15	determined	determine	VERB
ejpam-6042	208	16	on	on	ADP
ejpam-6042	208	17	the	the	DET
ejpam-6042	208	18	coefficients	coefficient	NOUN
ejpam-6042	208	19	āi	āi	PROPN
ejpam-6042	208	20	,	,	PUNCT
ejpam-6042	208	21	i−1	i−1	PROPN
ejpam-6042	208	22	(	(	PUNCT
ejpam-6042	208	23	w	w	NOUN
ejpam-6042	208	24	)	)	PUNCT
ejpam-6042	208	25	and	and	CCONJ
ejpam-6042	208	26	ãi	ãi	PROPN
ejpam-6042	208	27	,	,	PUNCT
ejpam-6042	208	28	i−1	i−1	PROPN
ejpam-6042	208	29	(	(	PUNCT
ejpam-6042	208	30	w	w	NOUN
ejpam-6042	208	31	)	)	PUNCT
ejpam-6042	208	32	through	through	ADP
ejpam-6042	208	33	χ̄i	χ̄i	PROPN
ejpam-6042	208	34	(	(	PUNCT
ejpam-6042	208	35	w	w	NOUN
ejpam-6042	208	36	)	)	PUNCT
ejpam-6042	208	37	=	=	SYM
ejpam-6042	208	38	cos	cos	PROPN
ejpam-6042	208	39	(	(	PUNCT
ejpam-6042	208	40	ciw	ciw	PROPN
ejpam-6042	208	41	)	)	PUNCT
ejpam-6042	209	1	+	+	CCONJ
ejpam-6042	209	2	1	1	NUM
ejpam-6042	209	3	2	2	NUM
ejpam-6042	209	4	(	(	PUNCT
ejpam-6042	209	5	ciw	ciw	NOUN
ejpam-6042	209	6	)	)	PUNCT
ejpam-6042	209	7	2	2	NUM
ejpam-6042	209	8	−	−	PROPN
ejpam-6042	209	9	w3	w3	NOUN
ejpam-6042	209	10	3∑	3∑	PROPN
ejpam-6042	209	11	i=1	i=1	PROPN
ejpam-6042	209	12	āij	āij	PROPN
ejpam-6042	209	13	sin	sin	NOUN
ejpam-6042	209	14	(	(	PUNCT
ejpam-6042	209	15	cjw	cjw	PROPN
ejpam-6042	209	16	)	)	PUNCT
ejpam-6042	209	17	,	,	PUNCT
ejpam-6042	209	18	ãi	ãi	PROPN
ejpam-6042	209	19	,	,	PUNCT
ejpam-6042	209	20	i−1	i−1	PROPN
ejpam-6042	209	21	(	(	PUNCT
ejpam-6042	209	22	w	w	NOUN
ejpam-6042	209	23	)	)	PUNCT
ejpam-6042	209	24	=	=	VERB
ejpam-6042	209	25	sin	sin	NOUN
ejpam-6042	209	26	(	(	PUNCT
ejpam-6042	209	27	ciw	ciw	PROPN
ejpam-6042	209	28	)	)	PUNCT
ejpam-6042	209	29	+	+	PROPN
ejpam-6042	209	30	w2	w2	NOUN
ejpam-6042	209	31	3∑	3∑	PROPN
ejpam-6042	209	32	i=1	i=1	PROPN
ejpam-6042	209	33	ãij	ãij	PROPN
ejpam-6042	209	34	sin	sin	NOUN
ejpam-6042	209	35	(	(	PUNCT
ejpam-6042	209	36	cjw	cjw	PROPN
ejpam-6042	209	37	)	)	PUNCT
ejpam-6042	209	38	ciw	ciw	NOUN
ejpam-6042	209	39	.	.	PUNCT
ejpam-6042	210	1	(	(	PUNCT
ejpam-6042	210	2	28	28	X
ejpam-6042	210	3	)	)	PUNCT
ejpam-6042	210	4	modifying	modify	VERB
ejpam-6042	210	5	the	the	DET
ejpam-6042	210	6	equations	equation	NOUN
ejpam-6042	210	7	(	(	PUNCT
ejpam-6042	210	8	27,28	27,28	NUM
ejpam-6042	210	9	)	)	PUNCT
ejpam-6042	210	10	,	,	PUNCT
ejpam-6042	210	11	we	we	PRON
ejpam-6042	210	12	obtain	obtain	VERB
ejpam-6042	210	13	the	the	DET
ejpam-6042	210	14	trigonometrically	trigonometrically	ADV
ejpam-6042	210	15	-	-	PUNCT
ejpam-6042	210	16	fitted	fit	VERB
ejpam-6042	210	17	coefficients	coefficient	NOUN
ejpam-6042	210	18	āij	āij	PROPN
ejpam-6042	210	19	(	(	PUNCT
ejpam-6042	210	20	w	w	NOUN
ejpam-6042	210	21	)	)	PUNCT
ejpam-6042	210	22	,	,	PUNCT
ejpam-6042	210	23	ãij	ãij	PROPN
ejpam-6042	210	24	(	(	PUNCT
ejpam-6042	210	25	w	w	NOUN
ejpam-6042	210	26	)	)	PUNCT
ejpam-6042	210	27	,	,	PUNCT
ejpam-6042	210	28	χ̄i	χ̄i	PROPN
ejpam-6042	210	29	(	(	PUNCT
ejpam-6042	210	30	w	w	NOUN
ejpam-6042	210	31	)	)	PUNCT
ejpam-6042	210	32	and	and	CCONJ
ejpam-6042	210	33	χ̃i	χ̃i	NOUN
ejpam-6042	210	34	(	(	PUNCT
ejpam-6042	210	35	w	w	NOUN
ejpam-6042	210	36	)	)	PUNCT
ejpam-6042	210	37	ā21	ā21	CCONJ
ejpam-6042	210	38	(	(	PUNCT
ejpam-6042	210	39	w	w	NOUN
ejpam-6042	210	40	)	)	PUNCT
ejpam-6042	210	41	=	=	SYM
ejpam-6042	210	42	c2w	c2w	NOUN
ejpam-6042	210	43	−	−	NOUN
ejpam-6042	210	44	sin	sin	NOUN
ejpam-6042	210	45	(	(	PUNCT
ejpam-6042	210	46	c2w	c2w	NOUN
ejpam-6042	210	47	)	)	PUNCT
ejpam-6042	210	48	w3	w3	PROPN
ejpam-6042	210	49	,	,	PUNCT
ejpam-6042	210	50	ā32	ā32	PROPN
ejpam-6042	210	51	(	(	PUNCT
ejpam-6042	210	52	w	w	NOUN
ejpam-6042	210	53	)	)	PUNCT
ejpam-6042	210	54	=	=	NOUN
ejpam-6042	210	55	c3w	c3w	NOUN
ejpam-6042	210	56	−	−	NOUN
ejpam-6042	210	57	sin	sin	NOUN
ejpam-6042	210	58	(	(	PUNCT
ejpam-6042	210	59	c3w)−	c3w)−	X
ejpam-6042	210	60	ā31w	ā31w	NOUN
ejpam-6042	210	61	3	3	NUM
ejpam-6042	210	62	w3	w3	PROPN
ejpam-6042	210	63	cos	cos	PROPN
ejpam-6042	210	64	(	(	PUNCT
ejpam-6042	210	65	c2w	c2w	NOUN
ejpam-6042	210	66	)	)	PUNCT
ejpam-6042	210	67	,	,	PUNCT
ejpam-6042	210	68	ã21	ã21	PROPN
ejpam-6042	210	69	(	(	PUNCT
ejpam-6042	210	70	w	w	NOUN
ejpam-6042	210	71	)	)	PUNCT
ejpam-6042	210	72	=	=	SYM
ejpam-6042	210	73	1−	1−	NUM
ejpam-6042	210	74	cos	cos	X
ejpam-6042	210	75	(	(	PUNCT
ejpam-6042	210	76	c2w	c2w	NOUN
ejpam-6042	210	77	)	)	PUNCT
ejpam-6042	210	78	w2	w2	NOUN
ejpam-6042	210	79	,	,	PUNCT
ejpam-6042	210	80	ã32	ã32	PROPN
ejpam-6042	210	81	(	(	PUNCT
ejpam-6042	210	82	w	w	X
ejpam-6042	210	83	)	)	PUNCT
ejpam-6042	210	84	=	=	SYM
ejpam-6042	210	85	1−	1−	NUM
ejpam-6042	210	86	cos	cos	X
ejpam-6042	210	87	(	(	PUNCT
ejpam-6042	210	88	c3w)−	c3w)−	X
ejpam-6042	210	89	ã31w	ã31w	PROPN
ejpam-6042	210	90	2	2	NUM
ejpam-6042	210	91	w2	w2	NOUN
ejpam-6042	210	92	,	,	PUNCT
ejpam-6042	210	93	χ̄2	χ̄2	X
ejpam-6042	210	94	(	(	PUNCT
ejpam-6042	210	95	w	w	NOUN
ejpam-6042	210	96	)	)	PUNCT
ejpam-6042	210	97	=	=	SYM
ejpam-6042	210	98	cos	cos	X
ejpam-6042	210	99	(	(	PUNCT
ejpam-6042	210	100	c2w	c2w	NOUN
ejpam-6042	210	101	)	)	PUNCT
ejpam-6042	210	102	+	+	CCONJ
ejpam-6042	210	103	1	1	NUM
ejpam-6042	210	104	2	2	NUM
ejpam-6042	210	105	(	(	PUNCT
ejpam-6042	210	106	c2w	c2w	NOUN
ejpam-6042	210	107	)	)	PUNCT
ejpam-6042	210	108	2	2	NUM
ejpam-6042	210	109	,	,	PUNCT
ejpam-6042	210	110	χ̄3	χ̄3	VERB
ejpam-6042	210	111	(	(	PUNCT
ejpam-6042	210	112	w	w	NOUN
ejpam-6042	210	113	)	)	PUNCT
ejpam-6042	210	114	=	=	SYM
ejpam-6042	210	115	cos	cos	X
ejpam-6042	210	116	(	(	PUNCT
ejpam-6042	210	117	c3w	c3w	NOUN
ejpam-6042	210	118	)	)	PUNCT
ejpam-6042	210	119	+	+	CCONJ
ejpam-6042	210	120	1	1	NUM
ejpam-6042	210	121	2	2	NUM
ejpam-6042	210	122	(	(	PUNCT
ejpam-6042	210	123	c3w	c3w	NOUN
ejpam-6042	210	124	)	)	PUNCT
ejpam-6042	210	125	2	2	NUM
ejpam-6042	210	126	−	−	PROPN
ejpam-6042	210	127	ā32	ā32	PROPN
ejpam-6042	210	128	sin	sin	NOUN
ejpam-6042	210	129	(	(	PUNCT
ejpam-6042	210	130	c2w	c2w	NOUN
ejpam-6042	210	131	)	)	PUNCT
ejpam-6042	210	132	,	,	PUNCT
ejpam-6042	210	133	χ̃2	χ̃2	PROPN
ejpam-6042	210	134	(	(	PUNCT
ejpam-6042	210	135	w	w	NOUN
ejpam-6042	210	136	)	)	PUNCT
ejpam-6042	210	137	=	=	NOUN
ejpam-6042	210	138	sin	sin	NOUN
ejpam-6042	210	139	(	(	PUNCT
ejpam-6042	210	140	c3w	c3w	NOUN
ejpam-6042	210	141	)	)	PUNCT
ejpam-6042	210	142	c3w	c3w	NOUN
ejpam-6042	210	143	,	,	PUNCT
ejpam-6042	210	144	χ̃3	χ̃3	PROPN
ejpam-6042	210	145	(	(	PUNCT
ejpam-6042	210	146	w	w	NOUN
ejpam-6042	210	147	)	)	PUNCT
ejpam-6042	210	148	=	=	NOUN
ejpam-6042	210	149	sin	sin	NOUN
ejpam-6042	210	150	(	(	PUNCT
ejpam-6042	210	151	c3w	c3w	NOUN
ejpam-6042	210	152	)	)	PUNCT
ejpam-6042	210	153	+	+	CCONJ
ejpam-6042	210	154	w2ã32	w2ã32	VERB
ejpam-6042	210	155	sin	sin	NOUN
ejpam-6042	210	156	(	(	PUNCT
ejpam-6042	210	157	c2w	c2w	NOUN
ejpam-6042	210	158	)	)	PUNCT
ejpam-6042	210	159	c3w	c3w	NOUN
ejpam-6042	210	160	.	.	PUNCT
ejpam-6042	211	1	(	(	PUNCT
ejpam-6042	211	2	29	29	NUM
ejpam-6042	211	3	)	)	PUNCT
ejpam-6042	211	4	z.	z.	PROPN
ejpam-6042	211	5	sun	sun	PROPN
ejpam-6042	211	6	et	et	PROPN
ejpam-6042	211	7	al	al	PROPN
ejpam-6042	211	8	.	.	PUNCT
ejpam-6042	211	9	/	/	SYM
ejpam-6042	211	10	eur	eur	PROPN
ejpam-6042	211	11	.	.	PUNCT
ejpam-6042	212	1	j.	j.	PROPN
ejpam-6042	212	2	pure	pure	PROPN
ejpam-6042	212	3	appl	appl	PROPN
ejpam-6042	212	4	.	.	PROPN
ejpam-6042	212	5	math	math	PROPN
ejpam-6042	212	6	,	,	PUNCT
ejpam-6042	212	7	18	18	NUM
ejpam-6042	212	8	(	(	PUNCT
ejpam-6042	212	9	4	4	NUM
ejpam-6042	212	10	)	)	PUNCT
ejpam-6042	212	11	(	(	PUNCT
ejpam-6042	212	12	2025	2025	NUM
ejpam-6042	212	13	)	)	PUNCT
ejpam-6042	212	14	,	,	PUNCT
ejpam-6042	212	15	6042	6042	NUM
ejpam-6042	212	16	11	11	NUM
ejpam-6042	212	17	of	of	ADP
ejpam-6042	212	18	45	45	NUM
ejpam-6042	212	19	then	then	ADV
ejpam-6042	212	20	,	,	PUNCT
ejpam-6042	212	21	by	by	ADP
ejpam-6042	212	22	substituting	substitute	VERB
ejpam-6042	212	23	all	all	DET
ejpam-6042	212	24	the	the	DET
ejpam-6042	212	25	coefficients	coefficient	NOUN
ejpam-6042	212	26	(	(	PUNCT
ejpam-6042	212	27	20	20	NUM
ejpam-6042	212	28	)	)	PUNCT
ejpam-6042	212	29	of	of	ADP
ejpam-6042	212	30	the	the	DET
ejpam-6042	212	31	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	212	32	)	)	PUNCT
ejpam-6042	212	33	method	method	NOUN
ejpam-6042	212	34	into	into	ADP
ejpam-6042	212	35	the	the	DET
ejpam-6042	212	36	equations	equation	NOUN
ejpam-6042	212	37	(	(	PUNCT
ejpam-6042	212	38	29	29	NUM
ejpam-6042	212	39	)	)	PUNCT
ejpam-6042	212	40	and	and	CCONJ
ejpam-6042	212	41	employing	employ	VERB
ejpam-6042	212	42	the	the	DET
ejpam-6042	212	43	eighth	eighth	ADJ
ejpam-6042	212	44	-	-	PUNCT
ejpam-6042	212	45	order	order	NOUN
ejpam-6042	212	46	taylor	taylor	PROPN
ejpam-6042	212	47	series	series	PROPN
ejpam-6042	212	48	expansion	expansion	PROPN
ejpam-6042	212	49	,	,	PUNCT
ejpam-6042	212	50	we	we	PRON
ejpam-6042	212	51	compute	compute	VERB
ejpam-6042	212	52	the	the	DET
ejpam-6042	212	53	frequency	frequency	NOUN
ejpam-6042	212	54	-	-	PUNCT
ejpam-6042	212	55	dependent	dependent	ADJ
ejpam-6042	212	56	coefficients	coefficient	NOUN
ejpam-6042	212	57	for	for	ADP
ejpam-6042	212	58	āij	āij	PROPN
ejpam-6042	212	59	(	(	PUNCT
ejpam-6042	212	60	w	w	NOUN
ejpam-6042	212	61	)	)	PUNCT
ejpam-6042	212	62	,	,	PUNCT
ejpam-6042	212	63	ãij	ãij	PROPN
ejpam-6042	212	64	(	(	PUNCT
ejpam-6042	212	65	w	w	NOUN
ejpam-6042	212	66	)	)	PUNCT
ejpam-6042	212	67	,	,	PUNCT
ejpam-6042	212	68	χ̄i	χ̄i	PROPN
ejpam-6042	212	69	(	(	PUNCT
ejpam-6042	212	70	w	w	NOUN
ejpam-6042	212	71	)	)	PUNCT
ejpam-6042	212	72	and	and	CCONJ
ejpam-6042	212	73	χ̃i	χ̃i	NOUN
ejpam-6042	212	74	(	(	PUNCT
ejpam-6042	212	75	w	w	NOUN
ejpam-6042	212	76	)	)	PUNCT
ejpam-6042	212	77	(	(	PUNCT
ejpam-6042	212	78	see	see	VERB
ejpam-6042	212	79	eqs	eqs	X
ejpam-6042	212	80	59	59	NUM
ejpam-6042	212	81	in	in	ADP
ejpam-6042	212	82	appendices	appendix	NOUN
ejpam-6042	212	83	)	)	PUNCT
ejpam-6042	212	84	.	.	PUNCT
ejpam-6042	213	1	as	as	ADP
ejpam-6042	213	2	a	a	DET
ejpam-6042	213	3	result	result	NOUN
ejpam-6042	213	4	,	,	PUNCT
ejpam-6042	213	5	we	we	PRON
ejpam-6042	213	6	conduct	conduct	VERB
ejpam-6042	213	7	a	a	DET
ejpam-6042	213	8	novel	novel	NOUN
ejpam-6042	213	9	trigonometrically	trigonometrically	ADV
ejpam-6042	213	10	-	-	PUNCT
ejpam-6042	213	11	fitted	fit	VERB
ejpam-6042	213	12	explicit	explicit	ADJ
ejpam-6042	213	13	two	two	NUM
ejpam-6042	213	14	-	-	PUNCT
ejpam-6042	213	15	derivative	derivative	ADJ
ejpam-6042	213	16	rungekutta	rungekutta	NOUN
ejpam-6042	213	17	-	-	PUNCT
ejpam-6042	213	18	nyström	nyström	NOUN
ejpam-6042	213	19	with	with	ADP
ejpam-6042	213	20	the	the	DET
ejpam-6042	213	21	three	three	NUM
ejpam-6042	213	22	-	-	PUNCT
ejpam-6042	213	23	stage	stage	NOUN
ejpam-6042	213	24	and	and	CCONJ
ejpam-6042	213	25	fifth	fifth	ADJ
ejpam-6042	213	26	-	-	PUNCT
ejpam-6042	213	27	order	order	NOUN
ejpam-6042	213	28	(	(	PUNCT
ejpam-6042	213	29	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	213	30	)	)	PUNCT
ejpam-6042	213	31	)	)	PUNCT
ejpam-6042	213	32	method	method	NOUN
ejpam-6042	213	33	.	.	PUNCT
ejpam-6042	214	1	the	the	DET
ejpam-6042	214	2	butcher	butcher	NOUN
ejpam-6042	214	3	tableau	tableau	PROPN
ejpam-6042	214	4	for	for	ADP
ejpam-6042	214	5	the	the	DET
ejpam-6042	214	6	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	214	7	)	)	PUNCT
ejpam-6042	214	8	method	method	NOUN
ejpam-6042	214	9	is	be	AUX
ejpam-6042	214	10	table	table	NOUN
ejpam-6042	214	11	4	4	NUM
ejpam-6042	214	12	:	:	PUNCT
ejpam-6042	214	13	butcher	butcher	PROPN
ejpam-6042	214	14	tableau	tableau	PROPN
ejpam-6042	214	15	for	for	ADP
ejpam-6042	214	16	the	the	DET
ejpam-6042	214	17	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	214	18	)	)	PUNCT
ejpam-6042	214	19	method	method	NOUN
ejpam-6042	214	20	.	.	PUNCT
ejpam-6042	215	1	c1	c1	PROPN
ejpam-6042	215	2	(	(	PUNCT
ejpam-6042	215	3	w	w	PROPN
ejpam-6042	215	4	)	)	PUNCT
ejpam-6042	215	5	0	0	NUM
ejpam-6042	215	6	0	0	NUM
ejpam-6042	215	7	0	0	NUM
ejpam-6042	215	8	0	0	NUM
ejpam-6042	215	9	0	0	NUM
ejpam-6042	215	10	0	0	NUM
ejpam-6042	215	11	0	0	SYM
ejpam-6042	215	12	0	0	NUM
ejpam-6042	215	13	c2	c2	PROPN
ejpam-6042	215	14	(	(	PUNCT
ejpam-6042	215	15	w	w	NOUN
ejpam-6042	215	16	)	)	PUNCT
ejpam-6042	215	17	χ̄2	χ̄2	NOUN
ejpam-6042	215	18	(	(	PUNCT
ejpam-6042	215	19	w	w	NOUN
ejpam-6042	215	20	)	)	PUNCT
ejpam-6042	215	21	χ̃2	χ̃2	PROPN
ejpam-6042	215	22	(	(	PUNCT
ejpam-6042	215	23	w	w	NOUN
ejpam-6042	215	24	)	)	PUNCT
ejpam-6042	215	25	ā21	ā21	CCONJ
ejpam-6042	215	26	(	(	PUNCT
ejpam-6042	215	27	w	w	NOUN
ejpam-6042	215	28	)	)	PUNCT
ejpam-6042	215	29	0	0	NUM
ejpam-6042	215	30	0	0	NUM
ejpam-6042	215	31	ã21	ã21	NOUN
ejpam-6042	215	32	(	(	PUNCT
ejpam-6042	215	33	w	w	NOUN
ejpam-6042	215	34	)	)	PUNCT
ejpam-6042	215	35	0	0	NUM
ejpam-6042	215	36	0	0	NUM
ejpam-6042	215	37	c3	c3	X
ejpam-6042	215	38	(	(	PUNCT
ejpam-6042	215	39	w	w	NOUN
ejpam-6042	215	40	)	)	PUNCT
ejpam-6042	215	41	χ̄3	χ̄3	VERB
ejpam-6042	215	42	(	(	PUNCT
ejpam-6042	215	43	w	w	NOUN
ejpam-6042	215	44	)	)	PUNCT
ejpam-6042	215	45	χ̃3	χ̃3	PROPN
ejpam-6042	215	46	(	(	PUNCT
ejpam-6042	215	47	w	w	NOUN
ejpam-6042	215	48	)	)	PUNCT
ejpam-6042	215	49	ā31	ā31	PROPN
ejpam-6042	215	50	(	(	PUNCT
ejpam-6042	215	51	w	w	NOUN
ejpam-6042	215	52	)	)	PUNCT
ejpam-6042	215	53	ā32	ā32	PROPN
ejpam-6042	215	54	(	(	PUNCT
ejpam-6042	215	55	w	w	NOUN
ejpam-6042	215	56	)	)	PUNCT
ejpam-6042	215	57	0	0	NUM
ejpam-6042	216	1	ã31	ã31	NOUN
ejpam-6042	216	2	(	(	PUNCT
ejpam-6042	216	3	w	w	NOUN
ejpam-6042	216	4	)	)	PUNCT
ejpam-6042	216	5	ã32	ã32	CCONJ
ejpam-6042	216	6	(	(	PUNCT
ejpam-6042	216	7	w	w	NOUN
ejpam-6042	216	8	)	)	PUNCT
ejpam-6042	216	9	0	0	NUM
ejpam-6042	216	10	d̄1	d̄1	NOUN
ejpam-6042	216	11	(	(	PUNCT
ejpam-6042	216	12	w	w	NOUN
ejpam-6042	216	13	)	)	PUNCT
ejpam-6042	216	14	d̄2	d̄2	PROPN
ejpam-6042	216	15	(	(	PUNCT
ejpam-6042	216	16	w	w	NOUN
ejpam-6042	216	17	)	)	PUNCT
ejpam-6042	216	18	d̄3	d̄3	NOUN
ejpam-6042	216	19	(	(	PUNCT
ejpam-6042	216	20	w	w	NOUN
ejpam-6042	216	21	)	)	PUNCT
ejpam-6042	216	22	d̃1	d̃1	PROPN
ejpam-6042	216	23	(	(	PUNCT
ejpam-6042	216	24	w	w	NOUN
ejpam-6042	216	25	)	)	PUNCT
ejpam-6042	216	26	d̃2	d̃2	PROPN
ejpam-6042	216	27	(	(	PUNCT
ejpam-6042	216	28	w	w	NOUN
ejpam-6042	216	29	)	)	PUNCT
ejpam-6042	216	30	d̃3	d̃3	PROPN
ejpam-6042	216	31	(	(	PUNCT
ejpam-6042	216	32	w	w	NOUN
ejpam-6042	216	33	)	)	PUNCT
ejpam-6042	216	34	observe	observe	VERB
ejpam-6042	216	35	that	that	SCONJ
ejpam-6042	216	36	as	as	SCONJ
ejpam-6042	216	37	w	w	PROPN
ejpam-6042	216	38	approaches	approach	NOUN
ejpam-6042	216	39	zero	zero	NUM
ejpam-6042	216	40	,	,	PUNCT
ejpam-6042	216	41	all	all	DET
ejpam-6042	216	42	trigonometrically	trigonometrically	ADV
ejpam-6042	216	43	-	-	PUNCT
ejpam-6042	216	44	fitted	fit	VERB
ejpam-6042	216	45	coefficients	coefficient	NOUN
ejpam-6042	216	46	derived	derive	VERB
ejpam-6042	216	47	above	above	ADV
ejpam-6042	216	48	for	for	ADP
ejpam-6042	216	49	the	the	DET
ejpam-6042	216	50	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	216	51	)	)	PUNCT
ejpam-6042	216	52	method	method	NOUN
ejpam-6042	216	53	converge	converge	NOUN
ejpam-6042	216	54	to	to	ADP
ejpam-6042	216	55	the	the	DET
ejpam-6042	216	56	original	original	ADJ
ejpam-6042	216	57	constant	constant	ADJ
ejpam-6042	216	58	coefficients	coefficient	NOUN
ejpam-6042	216	59	for	for	ADP
ejpam-6042	216	60	the	the	DET
ejpam-6042	216	61	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	216	62	)	)	PUNCT
ejpam-6042	216	63	method	method	NOUN
ejpam-6042	216	64	.	.	PUNCT
ejpam-6042	217	1	remark	remark	PROPN
ejpam-6042	217	2	1	1	NUM
ejpam-6042	217	3	.	.	PUNCT
ejpam-6042	218	1	the	the	DET
ejpam-6042	218	2	addition	addition	NOUN
ejpam-6042	218	3	of	of	ADP
ejpam-6042	218	4	vectors	vector	NOUN
ejpam-6042	218	5	χ̄	χ̄	ADJ
ejpam-6042	218	6	and	and	CCONJ
ejpam-6042	218	7	χ̃	χ̃	PROPN
ejpam-6042	218	8	,	,	PUNCT
ejpam-6042	218	9	and	and	CCONJ
ejpam-6042	218	10	the	the	DET
ejpam-6042	218	11	generation	generation	NOUN
ejpam-6042	218	12	of	of	ADP
ejpam-6042	218	13	trigonometrically	trigonometrically	ADV
ejpam-6042	218	14	-	-	PUNCT
ejpam-6042	218	15	fitted	fit	VERB
ejpam-6042	218	16	coefficients	coefficient	NOUN
ejpam-6042	218	17	is	be	AUX
ejpam-6042	218	18	to	to	PART
ejpam-6042	218	19	make	make	VERB
ejpam-6042	218	20	the	the	DET
ejpam-6042	218	21	proposed	propose	VERB
ejpam-6042	218	22	method	method	NOUN
ejpam-6042	218	23	more	more	ADV
ejpam-6042	218	24	accurate	accurate	ADJ
ejpam-6042	218	25	in	in	ADP
ejpam-6042	218	26	solving	solve	VERB
ejpam-6042	218	27	second	second	ADJ
ejpam-6042	218	28	-	-	PUNCT
ejpam-6042	218	29	order	order	NOUN
ejpam-6042	218	30	odes	ode	NOUN
ejpam-6042	218	31	with	with	ADP
ejpam-6042	218	32	periodic	periodic	ADJ
ejpam-6042	218	33	solutions	solution	NOUN
ejpam-6042	218	34	,	,	PUNCT
ejpam-6042	218	35	which	which	PRON
ejpam-6042	218	36	is	be	AUX
ejpam-6042	218	37	also	also	ADV
ejpam-6042	218	38	the	the	DET
ejpam-6042	218	39	key	key	ADJ
ejpam-6042	218	40	point	point	NOUN
ejpam-6042	218	41	of	of	ADP
ejpam-6042	218	42	this	this	DET
ejpam-6042	218	43	paper	paper	NOUN
ejpam-6042	218	44	.	.	PUNCT
ejpam-6042	219	1	5	5	X
ejpam-6042	219	2	.	.	X
ejpam-6042	219	3	stability	stability	NOUN
ejpam-6042	219	4	analysis	analysis	NOUN
ejpam-6042	219	5	5.1	5.1	NUM
ejpam-6042	219	6	.	.	PUNCT
ejpam-6042	220	1	stability	stability	NOUN
ejpam-6042	220	2	matrix	matrix	NOUN
ejpam-6042	220	3	for	for	ADP
ejpam-6042	220	4	testing	test	VERB
ejpam-6042	220	5	the	the	DET
ejpam-6042	220	6	stability	stability	NOUN
ejpam-6042	220	7	properties	property	NOUN
ejpam-6042	220	8	of	of	ADP
ejpam-6042	220	9	the	the	DET
ejpam-6042	220	10	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	220	11	)	)	PUNCT
ejpam-6042	220	12	method	method	NOUN
ejpam-6042	221	1	,	,	PUNCT
ejpam-6042	221	2	we	we	PRON
ejpam-6042	221	3	use	use	VERB
ejpam-6042	221	4	the	the	DET
ejpam-6042	221	5	homogeneous	homogeneous	ADJ
ejpam-6042	221	6	test	test	NOUN
ejpam-6042	221	7	equation	equation	NOUN
ejpam-6042	221	8	(	(	PUNCT
ejpam-6042	221	9	[	[	X
ejpam-6042	221	10	17	17	NUM
ejpam-6042	221	11	]	]	SYM
ejpam-6042	221	12	)	)	PUNCT
ejpam-6042	221	13	u′′	u′′	PROPN
ejpam-6042	221	14	=	=	SYM
ejpam-6042	221	15	−µ2u	−µ2u	PROPN
ejpam-6042	221	16	,	,	PUNCT
ejpam-6042	221	17	µ	µ	X
ejpam-6042	221	18	>	>	X
ejpam-6042	221	19	0	0	NUM
ejpam-6042	221	20	(	(	PUNCT
ejpam-6042	221	21	30	30	NUM
ejpam-6042	221	22	)	)	PUNCT
ejpam-6042	221	23	where	where	SCONJ
ejpam-6042	221	24	µ	µ	NOUN
ejpam-6042	221	25	is	be	AUX
ejpam-6042	221	26	the	the	DET
ejpam-6042	221	27	natural	natural	ADJ
ejpam-6042	221	28	frequency	frequency	NOUN
ejpam-6042	221	29	.	.	PUNCT
ejpam-6042	222	1	by	by	ADP
ejpam-6042	222	2	applying	apply	VERB
ejpam-6042	222	3	the	the	DET
ejpam-6042	222	4	scheme	scheme	NOUN
ejpam-6042	222	5	(	(	PUNCT
ejpam-6042	222	6	3	3	NUM
ejpam-6042	222	7	)	)	PUNCT
ejpam-6042	222	8	to	to	ADP
ejpam-6042	222	9	the	the	DET
ejpam-6042	222	10	test	test	NOUN
ejpam-6042	222	11	equation	equation	NOUN
ejpam-6042	222	12	(	(	PUNCT
ejpam-6042	222	13	30	30	NUM
ejpam-6042	222	14	)	)	PUNCT
ejpam-6042	222	15	,	,	PUNCT
ejpam-6042	222	16	we	we	PRON
ejpam-6042	222	17	obtain	obtain	VERB
ejpam-6042	222	18	(	(	PUNCT
ejpam-6042	222	19	un+1	un+1	NOUN
ejpam-6042	222	20	hu′n+1	hu′n+1	PROPN
ejpam-6042	222	21	)	)	PUNCT
ejpam-6042	222	22	=	=	SYM
ejpam-6042	223	1	n	n	PROPN
ejpam-6042	223	2	(	(	PUNCT
ejpam-6042	223	3	z2;w	z2;w	PROPN
ejpam-6042	223	4	)	)	PUNCT
ejpam-6042	223	5	(	(	PUNCT
ejpam-6042	223	6	un	un	PROPN
ejpam-6042	223	7	hu′n	hu′n	PROPN
ejpam-6042	223	8	)	)	PUNCT
ejpam-6042	223	9	,	,	PUNCT
ejpam-6042	223	10	(	(	PUNCT
ejpam-6042	223	11	31	31	NUM
ejpam-6042	223	12	)	)	PUNCT
ejpam-6042	223	13	where	where	SCONJ
ejpam-6042	223	14	n	n	X
ejpam-6042	223	15	(	(	PUNCT
ejpam-6042	223	16	z2;w	z2;w	PROPN
ejpam-6042	223	17	)	)	PUNCT
ejpam-6042	223	18	=	=	PRON
ejpam-6042	224	1			X
ejpam-6042	224	2	1−	1−	NUM
ejpam-6042	224	3	z2	z2	PROPN
ejpam-6042	224	4	2	2	NUM
ejpam-6042	224	5	+	+	CCONJ
ejpam-6042	224	6	z4d̄(w	z4d̄(w	NUM
ejpam-6042	224	7	)	)	PUNCT
ejpam-6042	225	1	t	t	PROPN
ejpam-6042	225	2	(	(	PUNCT
ejpam-6042	225	3	i	i	PROPN
ejpam-6042	225	4	+	+	CCONJ
ejpam-6042	225	5	z2ã	z2ã	PROPN
ejpam-6042	225	6	(	(	PUNCT
ejpam-6042	225	7	w	w	NOUN
ejpam-6042	225	8	)	)	PUNCT
ejpam-6042	225	9	)	)	PUNCT
ejpam-6042	226	1	−1	−1	NOUN
ejpam-6042	226	2	χ̃	χ̃	PROPN
ejpam-6042	226	3	(	(	PUNCT
ejpam-6042	226	4	w	w	NOUN
ejpam-6042	226	5	)	)	PUNCT
ejpam-6042	226	6	ce	ce	NOUN
ejpam-6042	227	1	−z2	−z2	PROPN
ejpam-6042	227	2	+	+	CCONJ
ejpam-6042	227	3	z4d̃(w	z4d̃(w	NUM
ejpam-6042	227	4	)	)	PUNCT
ejpam-6042	227	5	t	t	NOUN
ejpam-6042	227	6	(	(	PUNCT
ejpam-6042	227	7	i	i	PROPN
ejpam-6042	227	8	+	+	CCONJ
ejpam-6042	227	9	z2ã	z2ã	PROPN
ejpam-6042	227	10	(	(	PUNCT
ejpam-6042	227	11	w	w	NOUN
ejpam-6042	227	12	)	)	PUNCT
ejpam-6042	227	13	)	)	PUNCT
ejpam-6042	227	14	−1	−1	NOUN
ejpam-6042	227	15	χ̃	χ̃	PROPN
ejpam-6042	227	16	(	(	PUNCT
ejpam-6042	227	17	w	w	PROPN
ejpam-6042	227	18	)	)	PUNCT
ejpam-6042	227	19	ce	ce	PROPN
ejpam-6042	227	20	1−	1−	NUM
ejpam-6042	227	21	z2d̄(w	z2d̄(w	PROPN
ejpam-6042	227	22	)	)	PUNCT
ejpam-6042	227	23	t	t	PROPN
ejpam-6042	227	24	(	(	PUNCT
ejpam-6042	227	25	i	i	PROPN
ejpam-6042	227	26	+	+	CCONJ
ejpam-6042	227	27	z2ã	z2ã	PROPN
ejpam-6042	227	28	(	(	PUNCT
ejpam-6042	227	29	w	w	NOUN
ejpam-6042	227	30	)	)	PUNCT
ejpam-6042	227	31	)	)	PUNCT
ejpam-6042	228	1	−1	−1	NOUN
ejpam-6042	228	2	e	e	NOUN
ejpam-6042	228	3	1−	1−	NUM
ejpam-6042	228	4	z2d̃(w	z2d̃(w	PROPN
ejpam-6042	228	5	)	)	PUNCT
ejpam-6042	228	6	t	t	PROPN
ejpam-6042	228	7	(	(	PUNCT
ejpam-6042	228	8	i	i	PROPN
ejpam-6042	228	9	+	+	CCONJ
ejpam-6042	228	10	z2ã	z2ã	PROPN
ejpam-6042	228	11	(	(	PUNCT
ejpam-6042	228	12	w	w	NOUN
ejpam-6042	228	13	)	)	PUNCT
ejpam-6042	228	14	)	)	PUNCT
ejpam-6042	229	1	−1	−1	NOUN
ejpam-6042	229	2	e	e	NOUN
ejpam-6042	229	3			PROPN
ejpam-6042	229	4	,	,	PUNCT
ejpam-6042	229	5	z	z	NOUN
ejpam-6042	229	6	=	=	SYM
ejpam-6042	229	7	µh	µh	NOUN
ejpam-6042	229	8	(	(	PUNCT
ejpam-6042	229	9	32	32	NUM
ejpam-6042	229	10	)	)	PUNCT
ejpam-6042	229	11	is	be	AUX
ejpam-6042	229	12	called	call	VERB
ejpam-6042	229	13	the	the	DET
ejpam-6042	229	14	stability	stability	NOUN
ejpam-6042	229	15	matrix	matrix	NOUN
ejpam-6042	229	16	of	of	ADP
ejpam-6042	229	17	the	the	DET
ejpam-6042	229	18	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	229	19	)	)	PUNCT
ejpam-6042	229	20	method	method	NOUN
ejpam-6042	229	21	.	.	PUNCT
ejpam-6042	230	1	z.	z.	PROPN
ejpam-6042	230	2	sun	sun	PROPN
ejpam-6042	230	3	et	et	PROPN
ejpam-6042	230	4	al	al	PROPN
ejpam-6042	230	5	.	.	PUNCT
ejpam-6042	230	6	/	/	SYM
ejpam-6042	230	7	eur	eur	PROPN
ejpam-6042	230	8	.	.	PUNCT
ejpam-6042	231	1	j.	j.	PROPN
ejpam-6042	231	2	pure	pure	PROPN
ejpam-6042	231	3	appl	appl	PROPN
ejpam-6042	231	4	.	.	PROPN
ejpam-6042	231	5	math	math	PROPN
ejpam-6042	231	6	,	,	PUNCT
ejpam-6042	231	7	18	18	NUM
ejpam-6042	231	8	(	(	PUNCT
ejpam-6042	231	9	4	4	NUM
ejpam-6042	231	10	)	)	PUNCT
ejpam-6042	231	11	(	(	PUNCT
ejpam-6042	231	12	2025	2025	NUM
ejpam-6042	231	13	)	)	PUNCT
ejpam-6042	231	14	,	,	PUNCT
ejpam-6042	231	15	6042	6042	NUM
ejpam-6042	231	16	12	12	NUM
ejpam-6042	231	17	of	of	ADP
ejpam-6042	231	18	45	45	NUM
ejpam-6042	231	19	remark	remark	NOUN
ejpam-6042	231	20	2	2	NUM
ejpam-6042	231	21	.	.	PUNCT
ejpam-6042	232	1	λ	λ	NOUN
ejpam-6042	232	2	in	in	ADP
ejpam-6042	232	3	w	w	NOUN
ejpam-6042	232	4	=	=	PUNCT
ejpam-6042	232	5	λh	λh	VERB
ejpam-6042	232	6	is	be	AUX
ejpam-6042	232	7	called	call	VERB
ejpam-6042	232	8	fitted	fit	VERB
ejpam-6042	232	9	frequency	frequency	NOUN
ejpam-6042	232	10	,	,	PUNCT
ejpam-6042	232	11	while	while	SCONJ
ejpam-6042	232	12	µ	µ	X
ejpam-6042	232	13	in	in	ADP
ejpam-6042	232	14	z	z	NOUN
ejpam-6042	232	15	=	=	PUNCT
ejpam-6042	233	1	µh	µh	NOUN
ejpam-6042	233	2	is	be	AUX
ejpam-6042	233	3	called	call	VERB
ejpam-6042	233	4	natural	natural	ADJ
ejpam-6042	233	5	frequecny	frequecny	NOUN
ejpam-6042	233	6	.	.	PUNCT
ejpam-6042	234	1	for	for	ADP
ejpam-6042	234	2	the	the	DET
ejpam-6042	234	3	trigonometrically	trigonometrically	ADV
ejpam-6042	234	4	-	-	PUNCT
ejpam-6042	234	5	fitted	fit	VERB
ejpam-6042	234	6	methods	method	NOUN
ejpam-6042	234	7	applied	apply	VERB
ejpam-6042	234	8	to	to	ADP
ejpam-6042	234	9	problems	problem	NOUN
ejpam-6042	234	10	like	like	ADP
ejpam-6042	234	11	(	(	PUNCT
ejpam-6042	234	12	1	1	NUM
ejpam-6042	234	13	)	)	PUNCT
ejpam-6042	234	14	,	,	PUNCT
ejpam-6042	234	15	the	the	DET
ejpam-6042	234	16	fitted	fit	VERB
ejpam-6042	234	17	frequency	frequency	NOUN
ejpam-6042	234	18	of	of	ADP
ejpam-6042	234	19	methods	method	NOUN
ejpam-6042	234	20	generally	generally	ADV
ejpam-6042	234	21	differs	differ	VERB
ejpam-6042	234	22	from	from	ADP
ejpam-6042	234	23	the	the	DET
ejpam-6042	234	24	natural	natural	ADJ
ejpam-6042	234	25	frequency	frequency	NOUN
ejpam-6042	234	26	of	of	ADP
ejpam-6042	234	27	the	the	DET
ejpam-6042	234	28	theoretical	theoretical	ADJ
ejpam-6042	234	29	solution	solution	NOUN
ejpam-6042	234	30	.	.	PUNCT
ejpam-6042	235	1	however	however	ADV
ejpam-6042	235	2	,	,	PUNCT
ejpam-6042	235	3	for	for	ADP
ejpam-6042	235	4	the	the	DET
ejpam-6042	235	5	linear	linear	ADJ
ejpam-6042	235	6	oscillator	oscillator	NOUN
ejpam-6042	235	7	u′′	u′′	PROPN
ejpam-6042	235	8	(	(	PUNCT
ejpam-6042	235	9	t)+λ2u	t)+λ2u	PROPN
ejpam-6042	235	10	(	(	PUNCT
ejpam-6042	235	11	t	t	PROPN
ejpam-6042	235	12	)	)	PUNCT
ejpam-6042	235	13	=	=	SYM
ejpam-6042	235	14	0	0	NUM
ejpam-6042	235	15	,	,	PUNCT
ejpam-6042	235	16	the	the	DET
ejpam-6042	235	17	method	method	NOUN
ejpam-6042	235	18	’s	’s	PART
ejpam-6042	235	19	fitted	fit	VERB
ejpam-6042	235	20	frequency	frequency	NOUN
ejpam-6042	235	21	matches	match	VERB
ejpam-6042	235	22	the	the	DET
ejpam-6042	235	23	natural	natural	ADJ
ejpam-6042	235	24	frequency	frequency	NOUN
ejpam-6042	235	25	of	of	ADP
ejpam-6042	235	26	the	the	DET
ejpam-6042	235	27	theoretical	theoretical	ADJ
ejpam-6042	235	28	solution	solution	NOUN
ejpam-6042	235	29	[	[	X
ejpam-6042	235	30	22	22	NUM
ejpam-6042	235	31	]	]	PUNCT
ejpam-6042	235	32	.	.	PUNCT
ejpam-6042	236	1	so	so	ADV
ejpam-6042	236	2	we	we	PRON
ejpam-6042	236	3	will	will	AUX
ejpam-6042	236	4	conduct	conduct	VERB
ejpam-6042	236	5	the	the	DET
ejpam-6042	236	6	stability	stability	NOUN
ejpam-6042	236	7	analysis	analysis	NOUN
ejpam-6042	236	8	considering	consider	VERB
ejpam-6042	236	9	two	two	NUM
ejpam-6042	236	10	cases	case	NOUN
ejpam-6042	236	11	,	,	PUNCT
ejpam-6042	236	12	λ	λ	X
ejpam-6042	236	13	=	=	SYM
ejpam-6042	236	14	µ	µ	X
ejpam-6042	236	15	and	and	CCONJ
ejpam-6042	236	16	λ	λ	PROPN
ejpam-6042	236	17	̸=	̸=	PROPN
ejpam-6042	236	18	µ.	µ.	NOUN
ejpam-6042	236	19	5.2	5.2	NUM
ejpam-6042	236	20	.	.	PUNCT
ejpam-6042	237	1	dispersion	dispersion	NOUN
ejpam-6042	237	2	and	and	CCONJ
ejpam-6042	237	3	dissipation	dissipation	NOUN
ejpam-6042	237	4	error	error	NOUN
ejpam-6042	237	5	analysis	analysis	NOUN
ejpam-6042	237	6	stability	stability	NOUN
ejpam-6042	237	7	behavior	behavior	NOUN
ejpam-6042	237	8	of	of	ADP
ejpam-6042	237	9	the	the	DET
ejpam-6042	237	10	numerical	numerical	ADJ
ejpam-6042	237	11	solution	solution	NOUN
ejpam-6042	237	12	depends	depend	VERB
ejpam-6042	237	13	on	on	ADP
ejpam-6042	237	14	eigenvalues	eigenvalue	NOUN
ejpam-6042	237	15	ξi(i	ξi(i	NUM
ejpam-6042	237	16	=	=	SYM
ejpam-6042	237	17	1	1	NUM
ejpam-6042	237	18	,	,	PUNCT
ejpam-6042	237	19	2	2	NUM
ejpam-6042	237	20	)	)	PUNCT
ejpam-6042	237	21	of	of	ADP
ejpam-6042	237	22	the	the	DET
ejpam-6042	237	23	stability	stability	NOUN
ejpam-6042	237	24	matrix	matrix	NOUN
ejpam-6042	237	25	(	(	PUNCT
ejpam-6042	237	26	32	32	NUM
ejpam-6042	237	27	)	)	PUNCT
ejpam-6042	237	28	.	.	PUNCT
ejpam-6042	238	1	eliminating	eliminate	VERB
ejpam-6042	238	2	u′n+1	u′n+1	PROPN
ejpam-6042	238	3	and	and	CCONJ
ejpam-6042	238	4	u′n	u′n	ADV
ejpam-6042	238	5	from	from	ADP
ejpam-6042	238	6	the	the	DET
ejpam-6042	238	7	equations	equation	NOUN
ejpam-6042	238	8	(	(	PUNCT
ejpam-6042	238	9	31	31	NUM
ejpam-6042	238	10	)	)	PUNCT
ejpam-6042	238	11	by	by	ADP
ejpam-6042	238	12	replacing	replace	VERB
ejpam-6042	238	13	the	the	DET
ejpam-6042	238	14	subscript	subscript	NOUN
ejpam-6042	238	15	0	0	NUM
ejpam-6042	238	16	by	by	ADP
ejpam-6042	238	17	1	1	NUM
ejpam-6042	238	18	and	and	CCONJ
ejpam-6042	238	19	1	1	NUM
ejpam-6042	238	20	by	by	ADP
ejpam-6042	238	21	2	2	NUM
ejpam-6042	238	22	yields	yield	NOUN
ejpam-6042	238	23	the	the	DET
ejpam-6042	238	24	difference	difference	NOUN
ejpam-6042	238	25	equation	equation	NOUN
ejpam-6042	238	26	u2	u2	NOUN
ejpam-6042	238	27	−	−	PROPN
ejpam-6042	238	28	tr	tr	PUNCT
ejpam-6042	238	29	(	(	PUNCT
ejpam-6042	238	30	n)u1	n)u1	PROPN
ejpam-6042	238	31	+	+	NUM
ejpam-6042	238	32	det	det	PROPN
ejpam-6042	238	33	(	(	PUNCT
ejpam-6042	238	34	n)u0	n)u0	NOUN
ejpam-6042	238	35	=	=	SYM
ejpam-6042	238	36	0	0	NUM
ejpam-6042	238	37	.	.	PUNCT
ejpam-6042	239	1	(	(	PUNCT
ejpam-6042	239	2	33	33	NUM
ejpam-6042	239	3	)	)	PUNCT
ejpam-6042	239	4	accordingly	accordingly	ADV
ejpam-6042	239	5	,	,	PUNCT
ejpam-6042	239	6	we	we	PRON
ejpam-6042	239	7	obtain	obtain	VERB
ejpam-6042	239	8	the	the	DET
ejpam-6042	239	9	characteristic	characteristic	ADJ
ejpam-6042	239	10	polynomial	polynomial	ADJ
ejpam-6042	239	11	σ	σ	NOUN
ejpam-6042	239	12	(	(	PUNCT
ejpam-6042	239	13	z	z	PROPN
ejpam-6042	239	14	,	,	PUNCT
ejpam-6042	239	15	w	w	PROPN
ejpam-6042	239	16	;	;	PUNCT
ejpam-6042	239	17	ξ	ξ	X
ejpam-6042	239	18	)	)	PUNCT
ejpam-6042	239	19	σ	σ	NOUN
ejpam-6042	239	20	(	(	PUNCT
ejpam-6042	239	21	z	z	NOUN
ejpam-6042	239	22	,	,	PUNCT
ejpam-6042	239	23	w	w	PROPN
ejpam-6042	239	24	;	;	PUNCT
ejpam-6042	239	25	ξ	ξ	X
ejpam-6042	239	26	)	)	PUNCT
ejpam-6042	239	27	=	=	SYM
ejpam-6042	239	28	ξ2	ξ2	NOUN
ejpam-6042	239	29	−	−	PROPN
ejpam-6042	239	30	tr	tr	PUNCT
ejpam-6042	239	31	(	(	PUNCT
ejpam-6042	239	32	n	n	CCONJ
ejpam-6042	239	33	)	)	PUNCT
ejpam-6042	240	1	ξ	ξ	PROPN
ejpam-6042	240	2	+	+	NUM
ejpam-6042	240	3	det	det	X
ejpam-6042	240	4	(	(	PUNCT
ejpam-6042	240	5	n	n	CCONJ
ejpam-6042	240	6	)	)	PUNCT
ejpam-6042	240	7	=	=	SYM
ejpam-6042	240	8	0	0	NUM
ejpam-6042	240	9	,	,	PUNCT
ejpam-6042	240	10	(	(	PUNCT
ejpam-6042	240	11	34	34	NUM
ejpam-6042	240	12	)	)	PUNCT
ejpam-6042	240	13	where	where	SCONJ
ejpam-6042	240	14	tr	tr	X
ejpam-6042	240	15	(	(	PUNCT
ejpam-6042	240	16	n	n	CCONJ
ejpam-6042	240	17	)	)	PUNCT
ejpam-6042	240	18	and	and	CCONJ
ejpam-6042	240	19	det	det	PROPN
ejpam-6042	240	20	(	(	PUNCT
ejpam-6042	240	21	n	n	CCONJ
ejpam-6042	240	22	)	)	PUNCT
ejpam-6042	240	23	are	be	AUX
ejpam-6042	240	24	the	the	DET
ejpam-6042	240	25	trace	trace	NOUN
ejpam-6042	240	26	and	and	CCONJ
ejpam-6042	240	27	the	the	DET
ejpam-6042	240	28	determinant	determinant	NOUN
ejpam-6042	240	29	of	of	ADP
ejpam-6042	240	30	the	the	DET
ejpam-6042	240	31	stability	stability	NOUN
ejpam-6042	240	32	matrix	matrix	NOUN
ejpam-6042	240	33	(	(	PUNCT
ejpam-6042	240	34	32	32	NUM
ejpam-6042	240	35	)	)	PUNCT
ejpam-6042	240	36	,	,	PUNCT
ejpam-6042	240	37	ξ1	ξ1	NOUN
ejpam-6042	240	38	and	and	CCONJ
ejpam-6042	240	39	ξ2	ξ2	NOUN
ejpam-6042	240	40	are	be	AUX
ejpam-6042	240	41	ξ1	ξ1	NOUN
ejpam-6042	240	42	=	=	PUNCT
ejpam-6042	240	43	tr	tr	PUNCT
ejpam-6042	240	44	(	(	PUNCT
ejpam-6042	240	45	n)−	n)−	NOUN
ejpam-6042	240	46	√	√	ADP
ejpam-6042	240	47	tr2	tr2	NOUN
ejpam-6042	240	48	(	(	PUNCT
ejpam-6042	240	49	n)−	n)−	PROPN
ejpam-6042	240	50	4	4	NUM
ejpam-6042	240	51	det	det	NOUN
ejpam-6042	240	52	(	(	PUNCT
ejpam-6042	240	53	n	n	CCONJ
ejpam-6042	240	54	)	)	PUNCT
ejpam-6042	240	55	2	2	NUM
ejpam-6042	240	56	,	,	PUNCT
ejpam-6042	240	57	ξ2	ξ2	NOUN
ejpam-6042	240	58	=	=	PUNCT
ejpam-6042	240	59	tr	tr	X
ejpam-6042	240	60	(	(	PUNCT
ejpam-6042	240	61	n	n	CCONJ
ejpam-6042	240	62	)	)	PUNCT
ejpam-6042	240	63	+	+	CCONJ
ejpam-6042	240	64	√	√	ADV
ejpam-6042	240	65	tr2	tr2	INTJ
ejpam-6042	240	66	(	(	PUNCT
ejpam-6042	240	67	n)−	n)−	PROPN
ejpam-6042	240	68	4	4	NUM
ejpam-6042	240	69	det	det	NOUN
ejpam-6042	240	70	(	(	PUNCT
ejpam-6042	240	71	n	n	CCONJ
ejpam-6042	240	72	)	)	PUNCT
ejpam-6042	240	73	2	2	NUM
ejpam-6042	240	74	.	.	PUNCT
ejpam-6042	241	1	(	(	PUNCT
ejpam-6042	241	2	35	35	NUM
ejpam-6042	241	3	)	)	PUNCT
ejpam-6042	241	4	definition	definition	NOUN
ejpam-6042	241	5	1	1	NUM
ejpam-6042	241	6	(	(	PUNCT
ejpam-6042	241	7	[	[	X
ejpam-6042	241	8	17	17	NUM
ejpam-6042	241	9	]	]	NUM
ejpam-6042	241	10	)	)	PUNCT
ejpam-6042	241	11	.	.	PUNCT
ejpam-6042	242	1	for	for	ADP
ejpam-6042	242	2	the	the	DET
ejpam-6042	242	3	characteristic	characteristic	ADJ
ejpam-6042	242	4	polynomial	polynomial	NOUN
ejpam-6042	242	5	(	(	PUNCT
ejpam-6042	242	6	34	34	NUM
ejpam-6042	242	7	)	)	PUNCT
ejpam-6042	242	8	,	,	PUNCT
ejpam-6042	242	9	we	we	PRON
ejpam-6042	242	10	set	set	VERB
ejpam-6042	242	11	the	the	DET
ejpam-6042	242	12	ratio	ratio	NOUN
ejpam-6042	242	13	κ	κ	PRON
ejpam-6042	242	14	=	=	SYM
ejpam-6042	242	15	λ	λ	X
ejpam-6042	242	16	µ	µ	X
ejpam-6042	242	17	,	,	PUNCT
ejpam-6042	242	18	then	then	ADV
ejpam-6042	242	19	introduce	introduce	VERB
ejpam-6042	242	20	two	two	NUM
ejpam-6042	242	21	quantities	quantity	NOUN
ejpam-6042	242	22	ϕ	ϕ	X
ejpam-6042	242	23	(	(	PUNCT
ejpam-6042	242	24	z;κ	z;κ	NUM
ejpam-6042	242	25	)	)	PUNCT
ejpam-6042	242	26	=	=	PUNCT
ejpam-6042	243	1	z	z	NOUN
ejpam-6042	243	2	−	−	PROPN
ejpam-6042	243	3	arccos	arcco	NOUN
ejpam-6042	243	4	(	(	PUNCT
ejpam-6042	243	5	tr	tr	X
ejpam-6042	243	6	(	(	PUNCT
ejpam-6042	243	7	n	n	CCONJ
ejpam-6042	243	8	)	)	PUNCT
ejpam-6042	243	9	2	2	NUM
ejpam-6042	243	10	√	√	PROPN
ejpam-6042	243	11	det	det	PROPN
ejpam-6042	243	12	(	(	PUNCT
ejpam-6042	243	13	n	n	CCONJ
ejpam-6042	243	14	)	)	PUNCT
ejpam-6042	243	15	)	)	PUNCT
ejpam-6042	243	16	,	,	PUNCT
ejpam-6042	243	17	ψ	ψ	X
ejpam-6042	243	18	(	(	PUNCT
ejpam-6042	243	19	z;κ	z;κ	NUM
ejpam-6042	243	20	)	)	PUNCT
ejpam-6042	243	21	=	=	SYM
ejpam-6042	243	22	1−	1−	NUM
ejpam-6042	243	23	√	√	NUM
ejpam-6042	243	24	det	det	PROPN
ejpam-6042	243	25	(	(	PUNCT
ejpam-6042	243	26	n	n	CCONJ
ejpam-6042	243	27	)	)	PUNCT
ejpam-6042	243	28	,	,	PUNCT
ejpam-6042	243	29	(	(	PUNCT
ejpam-6042	243	30	36	36	NUM
ejpam-6042	243	31	)	)	PUNCT
ejpam-6042	243	32	which	which	PRON
ejpam-6042	243	33	are	be	AUX
ejpam-6042	243	34	denoted	denote	VERB
ejpam-6042	243	35	as	as	ADP
ejpam-6042	243	36	the	the	DET
ejpam-6042	243	37	dispersion	dispersion	NOUN
ejpam-6042	243	38	error	error	NOUN
ejpam-6042	243	39	and	and	CCONJ
ejpam-6042	243	40	the	the	DET
ejpam-6042	243	41	dissipation	dissipation	NOUN
ejpam-6042	243	42	error	error	NOUN
ejpam-6042	243	43	respectively	respectively	ADV
ejpam-6042	243	44	.	.	PUNCT
ejpam-6042	243	45	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	243	46	)	)	PUNCT
ejpam-6042	243	47	method	method	NOUN
ejpam-6042	243	48	is	be	AUX
ejpam-6042	243	49	dispersive	dispersive	ADJ
ejpam-6042	243	50	and	and	CCONJ
ejpam-6042	243	51	dissipative	dissipative	NOUN
ejpam-6042	243	52	of	of	ADP
ejpam-6042	243	53	order	order	NOUN
ejpam-6042	243	54	s	s	PART
ejpam-6042	243	55	and	and	CCONJ
ejpam-6042	243	56	order	order	NOUN
ejpam-6042	243	57	k	k	PROPN
ejpam-6042	243	58	respectively	respectively	ADV
ejpam-6042	243	59	,	,	PUNCT
ejpam-6042	243	60	if	if	SCONJ
ejpam-6042	243	61	ϕ	ϕ	X
ejpam-6042	243	62	(	(	PUNCT
ejpam-6042	243	63	z;κ	z;κ	NUM
ejpam-6042	243	64	)	)	PUNCT
ejpam-6042	244	1	=	=	SYM
ejpam-6042	244	2	o	o	X
ejpam-6042	244	3	(	(	PUNCT
ejpam-6042	244	4	zs+1	zs+1	PROPN
ejpam-6042	244	5	)	)	PUNCT
ejpam-6042	244	6	,	,	PUNCT
ejpam-6042	244	7	ψ	ψ	X
ejpam-6042	244	8	(	(	PUNCT
ejpam-6042	244	9	z;κ	z;κ	NUM
ejpam-6042	244	10	)	)	PUNCT
ejpam-6042	245	1	=	=	SYM
ejpam-6042	245	2	o	o	X
ejpam-6042	245	3	(	(	PUNCT
ejpam-6042	245	4	zk+1	zk+1	NUM
ejpam-6042	245	5	)	)	PUNCT
ejpam-6042	245	6	.	.	PUNCT
ejpam-6042	246	1	(	(	PUNCT
ejpam-6042	246	2	37	37	NUM
ejpam-6042	246	3	)	)	PUNCT
ejpam-6042	246	4	and	and	CCONJ
ejpam-6042	246	5	the	the	DET
ejpam-6042	246	6	necessary	necessary	ADJ
ejpam-6042	246	7	and	and	CCONJ
ejpam-6042	246	8	sufficient	sufficient	ADJ
ejpam-6042	246	9	condition	condition	NOUN
ejpam-6042	246	10	for	for	ADP
ejpam-6042	246	11	the	the	DET
ejpam-6042	246	12	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	246	13	)	)	PUNCT
ejpam-6042	246	14	method	method	NOUN
ejpam-6042	246	15	is	be	AUX
ejpam-6042	246	16	dispersive	dispersive	ADJ
ejpam-6042	246	17	and	and	CCONJ
ejpam-6042	246	18	dissipative	dissipative	NOUN
ejpam-6042	246	19	of	of	ADP
ejpam-6042	246	20	order	order	NOUN
ejpam-6042	246	21	s	s	PART
ejpam-6042	246	22	and	and	CCONJ
ejpam-6042	246	23	order	order	NOUN
ejpam-6042	246	24	k	k	PROPN
ejpam-6042	246	25	respectively	respectively	ADV
ejpam-6042	246	26	,	,	PUNCT
ejpam-6042	246	27	is	be	AUX
ejpam-6042	246	28	that	that	SCONJ
ejpam-6042	246	29	the	the	DET
ejpam-6042	246	30	expression	expression	NOUN
ejpam-6042	246	31	γ	γ	X
ejpam-6042	246	32	(	(	PUNCT
ejpam-6042	246	33	z;κ	z;κ	NUM
ejpam-6042	246	34	)	)	PUNCT
ejpam-6042	246	35	and	and	CCONJ
ejpam-6042	246	36	ϑ	ϑ	X
ejpam-6042	246	37	(	(	PUNCT
ejpam-6042	246	38	z;κ	z;κ	NOUN
ejpam-6042	246	39	)	)	PUNCT
ejpam-6042	246	40	satisfies	satisfie	NOUN
ejpam-6042	246	41	[	[	X
ejpam-6042	246	42	23	23	NUM
ejpam-6042	246	43	]	]	X
ejpam-6042	246	44	γ	γ	X
ejpam-6042	246	45	(	(	PUNCT
ejpam-6042	246	46	z;κ	z;κ	NUM
ejpam-6042	246	47	)	)	PUNCT
ejpam-6042	246	48	=	=	PUNCT
ejpam-6042	246	49	tr	tr	PROPN
ejpam-6042	246	50	(	(	PUNCT
ejpam-6042	246	51	n)−	n)−	PROPN
ejpam-6042	246	52	2	2	NUM
ejpam-6042	246	53	√	√	PROPN
ejpam-6042	246	54	det	det	PROPN
ejpam-6042	246	55	(	(	PUNCT
ejpam-6042	246	56	n	n	CCONJ
ejpam-6042	246	57	)	)	PUNCT
ejpam-6042	246	58	cos	cos	PROPN
ejpam-6042	246	59	(	(	PUNCT
ejpam-6042	246	60	z	z	NOUN
ejpam-6042	246	61	)	)	PUNCT
ejpam-6042	247	1	=	=	SYM
ejpam-6042	247	2	o	o	X
ejpam-6042	247	3	(	(	PUNCT
ejpam-6042	247	4	zs+2	zs+2	PROPN
ejpam-6042	247	5	)	)	PUNCT
ejpam-6042	247	6	,	,	PUNCT
ejpam-6042	247	7	ϑ	ϑ	X
ejpam-6042	247	8	(	(	PUNCT
ejpam-6042	247	9	z;κ	z;κ	NUM
ejpam-6042	247	10	)	)	PUNCT
ejpam-6042	247	11	=	=	SYM
ejpam-6042	247	12	det	det	X
ejpam-6042	247	13	(	(	PUNCT
ejpam-6042	247	14	n)−	n)−	PROPN
ejpam-6042	247	15	1	1	NUM
ejpam-6042	247	16	=	=	SYM
ejpam-6042	247	17	o	o	X
ejpam-6042	247	18	(	(	PUNCT
ejpam-6042	247	19	zk+1	zk+1	NUM
ejpam-6042	247	20	)	)	PUNCT
ejpam-6042	247	21	.	.	PUNCT
ejpam-6042	248	1	(	(	PUNCT
ejpam-6042	248	2	38	38	NUM
ejpam-6042	248	3	)	)	PUNCT
ejpam-6042	248	4	by	by	ADP
ejpam-6042	248	5	calculating	calculate	VERB
ejpam-6042	248	6	via	via	ADP
ejpam-6042	248	7	maple	maple	NOUN
ejpam-6042	248	8	,	,	PUNCT
ejpam-6042	248	9	for	for	ADP
ejpam-6042	248	10	λ	λ	PROPN
ejpam-6042	248	11	=	=	SYM
ejpam-6042	248	12	µ	µ	NUM
ejpam-6042	248	13	,	,	PUNCT
ejpam-6042	248	14	we	we	PRON
ejpam-6042	248	15	have	have	VERB
ejpam-6042	248	16	γ	γ	X
ejpam-6042	248	17	(	(	PUNCT
ejpam-6042	248	18	w	w	NOUN
ejpam-6042	248	19	)	)	PUNCT
ejpam-6042	248	20	=	=	SYM
ejpam-6042	248	21	1	1	NUM
ejpam-6042	248	22	4	4	NUM
ejpam-6042	248	23	w4	w4	NOUN
ejpam-6042	248	24	+	+	CCONJ
ejpam-6042	248	25	(	(	PUNCT
ejpam-6042	248	26	−	−	PROPN
ejpam-6042	248	27	4	4	NUM
ejpam-6042	248	28	45	45	NUM
ejpam-6042	248	29	+	+	CCONJ
ejpam-6042	248	30	√	√	NUM
ejpam-6042	248	31	5	5	NUM
ejpam-6042	248	32	120	120	NUM
ejpam-6042	248	33	)	)	PUNCT
ejpam-6042	248	34	w6+o	w6+o	NOUN
ejpam-6042	248	35	(	(	PUNCT
ejpam-6042	248	36	w8	w8	PROPN
ejpam-6042	248	37	)	)	PUNCT
ejpam-6042	248	38	,	,	PUNCT
ejpam-6042	248	39	ϑ	ϑ	X
ejpam-6042	248	40	(	(	PUNCT
ejpam-6042	248	41	w	w	NOUN
ejpam-6042	248	42	)	)	PUNCT
ejpam-6042	248	43	=	=	SYM
ejpam-6042	248	44	−1	−1	NOUN
ejpam-6042	248	45	6	6	NUM
ejpam-6042	248	46	w4	w4	NOUN
ejpam-6042	248	47	+	+	CCONJ
ejpam-6042	248	48	(	(	PUNCT
ejpam-6042	248	49	−	−	PROPN
ejpam-6042	248	50	√	√	NUM
ejpam-6042	248	51	5	5	NUM
ejpam-6042	248	52	160	160	NUM
ejpam-6042	248	53	+	+	CCONJ
ejpam-6042	248	54	1	1	NUM
ejpam-6042	248	55	160	160	NUM
ejpam-6042	248	56	)	)	PUNCT
ejpam-6042	248	57	w6+o	w6+o	NOUN
ejpam-6042	248	58	(	(	PUNCT
ejpam-6042	248	59	w8	w8	PROPN
ejpam-6042	248	60	)	)	PUNCT
ejpam-6042	248	61	,	,	PUNCT
ejpam-6042	248	62	(	(	PUNCT
ejpam-6042	248	63	39	39	NUM
ejpam-6042	248	64	)	)	PUNCT
ejpam-6042	248	65	z.	z.	PROPN
ejpam-6042	248	66	sun	sun	PROPN
ejpam-6042	248	67	et	et	PROPN
ejpam-6042	248	68	al	al	PROPN
ejpam-6042	248	69	.	.	PUNCT
ejpam-6042	248	70	/	/	SYM
ejpam-6042	248	71	eur	eur	PROPN
ejpam-6042	248	72	.	.	PUNCT
ejpam-6042	249	1	j.	j.	PROPN
ejpam-6042	249	2	pure	pure	PROPN
ejpam-6042	249	3	appl	appl	PROPN
ejpam-6042	249	4	.	.	PROPN
ejpam-6042	249	5	math	math	PROPN
ejpam-6042	249	6	,	,	PUNCT
ejpam-6042	249	7	18	18	NUM
ejpam-6042	249	8	(	(	PUNCT
ejpam-6042	249	9	4	4	NUM
ejpam-6042	249	10	)	)	PUNCT
ejpam-6042	249	11	(	(	PUNCT
ejpam-6042	249	12	2025	2025	NUM
ejpam-6042	249	13	)	)	PUNCT
ejpam-6042	249	14	,	,	PUNCT
ejpam-6042	249	15	6042	6042	NUM
ejpam-6042	249	16	13	13	NUM
ejpam-6042	249	17	of	of	ADP
ejpam-6042	249	18	45	45	NUM
ejpam-6042	249	19	for	for	ADP
ejpam-6042	249	20	λ	λ	PROPN
ejpam-6042	249	21	̸=	̸=	PROPN
ejpam-6042	249	22	µ	µ	NUM
ejpam-6042	249	23	,	,	PUNCT
ejpam-6042	249	24	we	we	PRON
ejpam-6042	249	25	have	have	AUX
ejpam-6042	249	26	γ	γ	X
ejpam-6042	249	27	(	(	PUNCT
ejpam-6042	249	28	z;κ	z;κ	NUM
ejpam-6042	249	29	)	)	PUNCT
ejpam-6042	249	30	=	=	SYM
ejpam-6042	249	31	1	1	NUM
ejpam-6042	249	32	4	4	NUM
ejpam-6042	249	33	z4	z4	NOUN
ejpam-6042	249	34	+	+	CCONJ
ejpam-6042	249	35	1	1	NUM
ejpam-6042	249	36	7200	7200	NUM
ejpam-6042	249	37	(	(	PUNCT
ejpam-6042	249	38	(	(	PUNCT
ejpam-6042	249	39	12	12	NUM
ejpam-6042	249	40	√	√	NUM
ejpam-6042	249	41	5	5	NUM
ejpam-6042	249	42	+	+	CCONJ
ejpam-6042	249	43	20)κ2	20)κ2	NUM
ejpam-6042	249	44	+	+	SYM
ejpam-6042	249	45	33	33	NUM
ejpam-6042	249	46	√	√	NUM
ejpam-6042	249	47	5−	5−	NUM
ejpam-6042	249	48	645)z6	645)z6	NUM
ejpam-6042	250	1	+	+	NOUN
ejpam-6042	250	2	o	o	PROPN
ejpam-6042	250	3	(	(	PUNCT
ejpam-6042	250	4	z8	z8	PROPN
ejpam-6042	250	5	)	)	PUNCT
ejpam-6042	250	6	,	,	PUNCT
ejpam-6042	250	7	ϑ	ϑ	X
ejpam-6042	250	8	(	(	PUNCT
ejpam-6042	250	9	z;κ	z;κ	NUM
ejpam-6042	250	10	)	)	PUNCT
ejpam-6042	250	11	=	=	SYM
ejpam-6042	250	12	−1	−1	NOUN
ejpam-6042	250	13	6	6	NUM
ejpam-6042	250	14	z4	z4	NOUN
ejpam-6042	250	15	−	−	PROPN
ejpam-6042	250	16	√	√	PROPN
ejpam-6042	250	17	5	5	NUM
ejpam-6042	250	18	7200	7200	NUM
ejpam-6042	250	19	(	(	PUNCT
ejpam-6042	250	20	(	(	PUNCT
ejpam-6042	250	21	4	4	NUM
ejpam-6042	250	22	√	√	NUM
ejpam-6042	250	23	5	5	NUM
ejpam-6042	250	24	+	+	CCONJ
ejpam-6042	250	25	12)κ2	12)κ2	NUM
ejpam-6042	251	1	−	−	NUM
ejpam-6042	251	2	13	13	NUM
ejpam-6042	251	3	√	√	NUM
ejpam-6042	251	4	5	5	NUM
ejpam-6042	251	5	+	+	CCONJ
ejpam-6042	251	6	33)z6	33)z6	NUM
ejpam-6042	252	1	+	+	ADJ
ejpam-6042	252	2	o	o	X
ejpam-6042	252	3	(	(	PUNCT
ejpam-6042	252	4	z8	z8	PROPN
ejpam-6042	252	5	)	)	PUNCT
ejpam-6042	252	6	.	.	PUNCT
ejpam-6042	253	1	(	(	PUNCT
ejpam-6042	253	2	40	40	NUM
ejpam-6042	253	3	)	)	PUNCT
ejpam-6042	253	4	so	so	SCONJ
ejpam-6042	253	5	the	the	DET
ejpam-6042	253	6	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	253	7	)	)	PUNCT
ejpam-6042	253	8	method	method	NOUN
ejpam-6042	253	9	is	be	AUX
ejpam-6042	253	10	dispersive	dispersive	ADJ
ejpam-6042	253	11	of	of	ADP
ejpam-6042	253	12	order	order	NOUN
ejpam-6042	253	13	two	two	NUM
ejpam-6042	253	14	and	and	CCONJ
ejpam-6042	253	15	dissipative	dissipative	NOUN
ejpam-6042	253	16	of	of	ADP
ejpam-6042	253	17	order	order	NOUN
ejpam-6042	253	18	three	three	NUM
ejpam-6042	253	19	from	from	ADP
ejpam-6042	253	20	conditions	condition	NOUN
ejpam-6042	253	21	(	(	PUNCT
ejpam-6042	253	22	38	38	NUM
ejpam-6042	253	23	)	)	PUNCT
ejpam-6042	253	24	.	.	PUNCT
ejpam-6042	254	1	5.3	5.3	NUM
ejpam-6042	254	2	.	.	PUNCT
ejpam-6042	254	3	stability	stability	NOUN
ejpam-6042	254	4	properties	property	NOUN
ejpam-6042	254	5	and	and	CCONJ
ejpam-6042	254	6	regions	region	NOUN
ejpam-6042	254	7	in	in	ADP
ejpam-6042	254	8	this	this	DET
ejpam-6042	254	9	subsection	subsection	NOUN
ejpam-6042	254	10	,	,	PUNCT
ejpam-6042	254	11	we	we	PRON
ejpam-6042	254	12	study	study	VERB
ejpam-6042	254	13	the	the	DET
ejpam-6042	254	14	stability	stability	NOUN
ejpam-6042	254	15	properties	property	NOUN
ejpam-6042	254	16	and	and	CCONJ
ejpam-6042	254	17	regions	region	NOUN
ejpam-6042	254	18	of	of	ADP
ejpam-6042	254	19	the	the	DET
ejpam-6042	254	20	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	254	21	)	)	PUNCT
ejpam-6042	254	22	method	method	NOUN
ejpam-6042	254	23	comprehensively	comprehensively	ADV
ejpam-6042	254	24	to	to	PART
ejpam-6042	254	25	predict	predict	VERB
ejpam-6042	254	26	its	its	PRON
ejpam-6042	254	27	efficiency	efficiency	NOUN
ejpam-6042	254	28	region	region	NOUN
ejpam-6042	254	29	and	and	CCONJ
ejpam-6042	254	30	range	range	NOUN
ejpam-6042	254	31	corresponding	correspond	VERB
ejpam-6042	254	32	to	to	ADP
ejpam-6042	254	33	different	different	ADJ
ejpam-6042	254	34	step	step	NOUN
ejpam-6042	254	35	sizes	size	NOUN
ejpam-6042	254	36	for	for	ADP
ejpam-6042	254	37	two	two	NUM
ejpam-6042	254	38	cases	case	NOUN
ejpam-6042	254	39	,	,	PUNCT
ejpam-6042	254	40	λ	λ	X
ejpam-6042	254	41	=	=	SYM
ejpam-6042	254	42	µ	µ	X
ejpam-6042	254	43	and	and	CCONJ
ejpam-6042	254	44	λ	λ	PROPN
ejpam-6042	254	45	̸=	̸=	PROPN
ejpam-6042	254	46	µ.	µ.	NOUN
ejpam-6042	254	47	5.3.1	5.3.1	PROPN
ejpam-6042	254	48	.	.	PROPN
ejpam-6042	255	1	for	for	ADP
ejpam-6042	255	2	the	the	DET
ejpam-6042	255	3	case	case	NOUN
ejpam-6042	255	4	of	of	ADP
ejpam-6042	255	5	same	same	ADJ
ejpam-6042	255	6	frequency	frequency	NOUN
ejpam-6042	255	7	definition	definition	NOUN
ejpam-6042	255	8	2	2	NUM
ejpam-6042	255	9	(	(	PUNCT
ejpam-6042	255	10	[	[	X
ejpam-6042	255	11	14	14	NUM
ejpam-6042	255	12	]	]	NUM
ejpam-6042	255	13	)	)	PUNCT
ejpam-6042	255	14	.	.	PUNCT
ejpam-6042	256	1	we	we	PRON
ejpam-6042	256	2	define	define	VERB
ejpam-6042	256	3	the	the	DET
ejpam-6042	256	4	stability	stability	NOUN
ejpam-6042	256	5	region	region	NOUN
ejpam-6042	256	6	for	for	ADP
ejpam-6042	256	7	the	the	DET
ejpam-6042	256	8	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	256	9	)	)	PUNCT
ejpam-6042	256	10	method	method	NOUN
ejpam-6042	256	11	as	as	SCONJ
ejpam-6042	256	12	follows	follow	VERB
ejpam-6042	256	13	:	:	PUNCT
ejpam-6042	256	14	rs	rs	PROPN
ejpam-6042	256	15	=	=	PRON
ejpam-6042	256	16	{	{	PUNCT
ejpam-6042	256	17	w	w	NOUN
ejpam-6042	256	18	:	:	PUNCT
ejpam-6042	256	19	|ξi|	|ξi|	PROPN
ejpam-6042	256	20	<	<	X
ejpam-6042	256	21	1	1	NUM
ejpam-6042	256	22	,	,	PUNCT
ejpam-6042	256	23	i	i	PRON
ejpam-6042	256	24	=	=	NOUN
ejpam-6042	256	25	1	1	NUM
ejpam-6042	256	26	,	,	PUNCT
ejpam-6042	256	27	2	2	NUM
ejpam-6042	256	28	}	}	PUNCT
ejpam-6042	256	29	,	,	PUNCT
ejpam-6042	256	30	where	where	SCONJ
ejpam-6042	256	31	ξi	ξi	NOUN
ejpam-6042	256	32	(	(	PUNCT
ejpam-6042	256	33	i	i	NOUN
ejpam-6042	256	34	=	=	NOUN
ejpam-6042	256	35	1	1	NUM
ejpam-6042	256	36	,	,	PUNCT
ejpam-6042	256	37	2	2	NUM
ejpam-6042	256	38	)	)	PUNCT
ejpam-6042	256	39	are	be	AUX
ejpam-6042	256	40	the	the	DET
ejpam-6042	256	41	eigenvalues	eigenvalue	NOUN
ejpam-6042	256	42	of	of	ADP
ejpam-6042	256	43	n	n	PROPN
ejpam-6042	256	44	(	(	PUNCT
ejpam-6042	256	45	w2	w2	PROPN
ejpam-6042	256	46	)	)	PUNCT
ejpam-6042	256	47	.	.	PUNCT
ejpam-6042	257	1	the	the	DET
ejpam-6042	257	2	stability	stability	NOUN
ejpam-6042	257	3	regions	region	NOUN
ejpam-6042	257	4	for	for	ADP
ejpam-6042	257	5	different	different	ADJ
ejpam-6042	257	6	ranges	range	NOUN
ejpam-6042	257	7	of	of	ADP
ejpam-6042	257	8	the	the	DET
ejpam-6042	257	9	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	257	10	)	)	PUNCT
ejpam-6042	257	11	method	method	NOUN
ejpam-6042	257	12	with	with	ADP
ejpam-6042	257	13	λ	λ	NOUN
ejpam-6042	257	14	=	=	SYM
ejpam-6042	257	15	µ	µ	X
ejpam-6042	257	16	are	be	AUX
ejpam-6042	257	17	shown	show	VERB
ejpam-6042	257	18	in	in	ADP
ejpam-6042	257	19	figs	fig	NOUN
ejpam-6042	257	20	.	.	PUNCT
ejpam-6042	258	1	1	1	NUM
ejpam-6042	258	2	-	-	SYM
ejpam-6042	258	3	6	6	NUM
ejpam-6042	258	4	.	.	PUNCT
ejpam-6042	259	1	the	the	DET
ejpam-6042	259	2	stability	stability	NOUN
ejpam-6042	259	3	region	region	NOUN
ejpam-6042	259	4	for	for	ADP
ejpam-6042	259	5	w	w	PROPN
ejpam-6042	259	6	is	be	AUX
ejpam-6042	259	7	the	the	DET
ejpam-6042	259	8	intersection	intersection	NOUN
ejpam-6042	259	9	region	region	NOUN
ejpam-6042	259	10	of	of	ADP
ejpam-6042	259	11	stability	stability	NOUN
ejpam-6042	259	12	region	region	NOUN
ejpam-6042	259	13	for	for	ADP
ejpam-6042	259	14	w1	w1	NOUN
ejpam-6042	259	15	and	and	CCONJ
ejpam-6042	259	16	w2	w2	NOUN
ejpam-6042	259	17	.	.	PUNCT
ejpam-6042	260	1	note	note	VERB
ejpam-6042	260	2	that	that	SCONJ
ejpam-6042	260	3	the	the	DET
ejpam-6042	260	4	stability	stability	NOUN
ejpam-6042	260	5	region	region	NOUN
ejpam-6042	260	6	still	still	ADV
ejpam-6042	260	7	exists	exist	VERB
ejpam-6042	260	8	when	when	SCONJ
ejpam-6042	260	9	w	w	NOUN
ejpam-6042	260	10	is	be	AUX
ejpam-6042	260	11	relatively	relatively	ADV
ejpam-6042	260	12	larger	large	ADJ
ejpam-6042	260	13	,	,	PUNCT
ejpam-6042	260	14	but	but	CCONJ
ejpam-6042	260	15	the	the	DET
ejpam-6042	260	16	detailed	detailed	ADJ
ejpam-6042	260	17	research	research	NOUN
ejpam-6042	260	18	in	in	ADP
ejpam-6042	260	19	such	such	ADJ
ejpam-6042	260	20	case	case	NOUN
ejpam-6042	260	21	is	be	AUX
ejpam-6042	260	22	not	not	PART
ejpam-6042	260	23	very	very	ADV
ejpam-6042	260	24	meaningful	meaningful	ADJ
ejpam-6042	260	25	because	because	SCONJ
ejpam-6042	260	26	in	in	ADP
ejpam-6042	260	27	numerical	numerical	ADJ
ejpam-6042	260	28	simulations	simulation	NOUN
ejpam-6042	260	29	,	,	PUNCT
ejpam-6042	260	30	the	the	DET
ejpam-6042	260	31	step	step	NOUN
ejpam-6042	260	32	size	size	NOUN
ejpam-6042	260	33	h	h	NOUN
ejpam-6042	260	34	usually	usually	ADV
ejpam-6042	260	35	takes	take	VERB
ejpam-6042	260	36	at	at	ADV
ejpam-6042	260	37	least	least	ADV
ejpam-6042	260	38	one	one	NUM
ejpam-6042	260	39	decimal	decimal	ADJ
ejpam-6042	260	40	place	place	NOUN
ejpam-6042	260	41	and	and	CCONJ
ejpam-6042	260	42	the	the	DET
ejpam-6042	260	43	frequency	frequency	NOUN
ejpam-6042	260	44	λ	λ	NOUN
ejpam-6042	260	45	will	will	AUX
ejpam-6042	260	46	not	not	PART
ejpam-6042	260	47	be	be	AUX
ejpam-6042	260	48	very	very	ADV
ejpam-6042	260	49	large	large	ADJ
ejpam-6042	260	50	,	,	PUNCT
ejpam-6042	260	51	so	so	SCONJ
ejpam-6042	260	52	w	w	NOUN
ejpam-6042	260	53	will	will	AUX
ejpam-6042	260	54	not	not	PART
ejpam-6042	260	55	be	be	AUX
ejpam-6042	260	56	so	so	ADV
ejpam-6042	260	57	lager	lager	ADJ
ejpam-6042	260	58	.	.	PUNCT
ejpam-6042	261	1	fig	fig	NOUN
ejpam-6042	261	2	.	.	PUNCT
ejpam-6042	261	3	7	7	NUM
ejpam-6042	261	4	and	and	CCONJ
ejpam-6042	261	5	figs	fig	NOUN
ejpam-6042	261	6	.	.	PUNCT
ejpam-6042	262	1	8	8	NUM
ejpam-6042	262	2	,	,	PUNCT
ejpam-6042	262	3	9	9	NUM
ejpam-6042	262	4	show	show	VERB
ejpam-6042	262	5	the	the	DET
ejpam-6042	262	6	distribution	distribution	NOUN
ejpam-6042	262	7	relationship	relationship	NOUN
ejpam-6042	262	8	of	of	ADP
ejpam-6042	262	9	ξ	ξ	PROPN
ejpam-6042	262	10	,	,	PUNCT
ejpam-6042	262	11	ξ1	ξ1	NOUN
ejpam-6042	262	12	and	and	CCONJ
ejpam-6042	262	13	ξ2	ξ2	NOUN
ejpam-6042	262	14	versus	versus	ADP
ejpam-6042	262	15	w.	w.	PROPN
ejpam-6042	262	16	moreover	moreover	ADV
ejpam-6042	262	17	,	,	PUNCT
ejpam-6042	262	18	the	the	DET
ejpam-6042	262	19	curves	curve	NOUN
ejpam-6042	262	20	of	of	ADP
ejpam-6042	262	21	ξi	ξi	NOUN
ejpam-6042	262	22	,	,	PUNCT
ejpam-6042	262	23	abs(ξi)(i	abs(ξi)(i	PROPN
ejpam-6042	262	24	=	=	SYM
ejpam-6042	262	25	1	1	NUM
ejpam-6042	262	26	,	,	PUNCT
ejpam-6042	262	27	2	2	NUM
ejpam-6042	262	28	)	)	PUNCT
ejpam-6042	262	29	and	and	CCONJ
ejpam-6042	262	30	zeros	zero	NOUN
ejpam-6042	262	31	of	of	ADP
ejpam-6042	262	32	denominator	denominator	NOUN
ejpam-6042	262	33	are	be	AUX
ejpam-6042	262	34	also	also	ADV
ejpam-6042	262	35	shown	show	VERB
ejpam-6042	262	36	intuitively	intuitively	ADV
ejpam-6042	262	37	.	.	PUNCT
ejpam-6042	263	1	according	accord	VERB
ejpam-6042	263	2	to	to	ADP
ejpam-6042	263	3	such	such	ADJ
ejpam-6042	263	4	three	three	NUM
ejpam-6042	263	5	figures	figure	NOUN
ejpam-6042	263	6	,	,	PUNCT
ejpam-6042	263	7	the	the	DET
ejpam-6042	263	8	approximate	approximate	ADJ
ejpam-6042	263	9	w	w	NOUN
ejpam-6042	263	10	range	range	NOUN
ejpam-6042	263	11	that	that	PRON
ejpam-6042	263	12	meets	meet	VERB
ejpam-6042	263	13	here	here	ADV
ejpam-6042	263	14	is	be	AUX
ejpam-6042	263	15	your	your	PRON
ejpam-6042	263	16	expression	expression	NOUN
ejpam-6042	263	17	with	with	ADP
ejpam-6042	263	18	quotation	quotation	NOUN
ejpam-6042	263	19	marks	mark	NOUN
ejpam-6042	263	20	added	add	VERB
ejpam-6042	263	21	(	(	PUNCT
ejpam-6042	263	22	using	use	VERB
ejpam-6042	263	23	proper	proper	ADJ
ejpam-6042	263	24	latex	latex	NOUN
ejpam-6042	263	25	quoting	quoting	NOUN
ejpam-6042	263	26	):	):	PUNCT
ejpam-6042	263	27	latex“|ξi|	latex“|ξi|	NOUN
ejpam-6042	263	28	<	<	X
ejpam-6042	263	29	1	1	NUM
ejpam-6042	263	30	,	,	PUNCT
ejpam-6042	263	31	i	i	PRON
ejpam-6042	263	32	=	=	NOUN
ejpam-6042	263	33	1	1	NUM
ejpam-6042	263	34	,	,	PUNCT
ejpam-6042	263	35	2	2	NUM
ejpam-6042	263	36	”	"	PUNCT
ejpam-6042	263	37	can	can	AUX
ejpam-6042	263	38	be	be	AUX
ejpam-6042	263	39	concluded	conclude	VERB
ejpam-6042	263	40	.	.	PUNCT
ejpam-6042	264	1	z.	z.	PROPN
ejpam-6042	264	2	sun	sun	PROPN
ejpam-6042	264	3	et	et	PROPN
ejpam-6042	264	4	al	al	PROPN
ejpam-6042	264	5	.	.	PUNCT
ejpam-6042	264	6	/	/	SYM
ejpam-6042	264	7	eur	eur	PROPN
ejpam-6042	264	8	.	.	PUNCT
ejpam-6042	265	1	j.	j.	PROPN
ejpam-6042	265	2	pure	pure	PROPN
ejpam-6042	265	3	appl	appl	PROPN
ejpam-6042	265	4	.	.	PROPN
ejpam-6042	265	5	math	math	PROPN
ejpam-6042	265	6	,	,	PUNCT
ejpam-6042	265	7	18	18	NUM
ejpam-6042	265	8	(	(	PUNCT
ejpam-6042	265	9	4	4	NUM
ejpam-6042	265	10	)	)	PUNCT
ejpam-6042	265	11	(	(	PUNCT
ejpam-6042	265	12	2025	2025	NUM
ejpam-6042	265	13	)	)	PUNCT
ejpam-6042	265	14	,	,	PUNCT
ejpam-6042	265	15	6042	6042	NUM
ejpam-6042	265	16	14	14	NUM
ejpam-6042	265	17	of	of	ADP
ejpam-6042	265	18	45	45	NUM
ejpam-6042	265	19	figure	figure	NOUN
ejpam-6042	265	20	1	1	NUM
ejpam-6042	265	21	:	:	PUNCT
ejpam-6042	265	22	stability	stability	NOUN
ejpam-6042	265	23	region	region	NOUN
ejpam-6042	265	24	for	for	ADP
ejpam-6042	265	25	the	the	DET
ejpam-6042	265	26	real	real	ADJ
ejpam-6042	265	27	part	part	NOUN
ejpam-6042	265	28	of	of	ADP
ejpam-6042	265	29	w	w	PROPN
ejpam-6042	265	30	∈	∈	PROPN
ejpam-6042	266	1	[	[	X
ejpam-6042	266	2	−6	−6	X
ejpam-6042	266	3	,	,	PUNCT
ejpam-6042	266	4	6	6	NUM
ejpam-6042	266	5	]	]	PUNCT
ejpam-6042	266	6	.	.	PUNCT
ejpam-6042	267	1	figure	figure	NOUN
ejpam-6042	267	2	2	2	NUM
ejpam-6042	267	3	:	:	PUNCT
ejpam-6042	267	4	partial	partial	ADJ
ejpam-6042	267	5	stability	stability	NOUN
ejpam-6042	267	6	region	region	NOUN
ejpam-6042	267	7	for	for	ADP
ejpam-6042	267	8	the	the	DET
ejpam-6042	267	9	real	real	ADJ
ejpam-6042	267	10	part	part	NOUN
ejpam-6042	267	11	of	of	ADP
ejpam-6042	267	12	w1	w1	NOUN
ejpam-6042	267	13	∈	∈	PROPN
ejpam-6042	268	1	[	[	X
ejpam-6042	268	2	−6	−6	X
ejpam-6042	268	3	,	,	PUNCT
ejpam-6042	268	4	6	6	NUM
ejpam-6042	268	5	]	]	PUNCT
ejpam-6042	268	6	.	.	PUNCT
ejpam-6042	269	1	figure	figure	VERB
ejpam-6042	269	2	3	3	NUM
ejpam-6042	269	3	:	:	PUNCT
ejpam-6042	269	4	partial	partial	ADJ
ejpam-6042	269	5	stability	stability	NOUN
ejpam-6042	269	6	region	region	NOUN
ejpam-6042	269	7	for	for	ADP
ejpam-6042	269	8	the	the	DET
ejpam-6042	269	9	real	real	ADJ
ejpam-6042	269	10	part	part	NOUN
ejpam-6042	269	11	of	of	ADP
ejpam-6042	269	12	w2	w2	NOUN
ejpam-6042	269	13	∈	∈	PROPN
ejpam-6042	270	1	[	[	X
ejpam-6042	270	2	−6	−6	X
ejpam-6042	270	3	,	,	PUNCT
ejpam-6042	270	4	6	6	NUM
ejpam-6042	270	5	]	]	PUNCT
ejpam-6042	270	6	.	.	PUNCT
ejpam-6042	271	1	figure	figure	VERB
ejpam-6042	271	2	4	4	NUM
ejpam-6042	271	3	:	:	PUNCT
ejpam-6042	271	4	stability	stability	NOUN
ejpam-6042	271	5	region	region	NOUN
ejpam-6042	271	6	for	for	ADP
ejpam-6042	271	7	the	the	DET
ejpam-6042	271	8	real	real	ADJ
ejpam-6042	271	9	part	part	NOUN
ejpam-6042	271	10	of	of	ADP
ejpam-6042	271	11	w	w	PROPN
ejpam-6042	271	12	∈	∈	PROPN
ejpam-6042	272	1	[	[	X
ejpam-6042	272	2	−20	−20	NOUN
ejpam-6042	272	3	,	,	PUNCT
ejpam-6042	272	4	20	20	NUM
ejpam-6042	272	5	]	]	PUNCT
ejpam-6042	272	6	figure	figure	NOUN
ejpam-6042	272	7	5	5	NUM
ejpam-6042	272	8	:	:	PUNCT
ejpam-6042	272	9	partial	partial	ADJ
ejpam-6042	272	10	stability	stability	NOUN
ejpam-6042	272	11	region	region	NOUN
ejpam-6042	272	12	for	for	ADP
ejpam-6042	272	13	the	the	DET
ejpam-6042	272	14	real	real	ADJ
ejpam-6042	272	15	part	part	NOUN
ejpam-6042	272	16	of	of	ADP
ejpam-6042	272	17	w1	w1	NOUN
ejpam-6042	272	18	∈	∈	PROPN
ejpam-6042	273	1	[	[	X
ejpam-6042	273	2	−20	−20	NOUN
ejpam-6042	273	3	,	,	PUNCT
ejpam-6042	273	4	20	20	NUM
ejpam-6042	273	5	]	]	PUNCT
ejpam-6042	273	6	.	.	PUNCT
ejpam-6042	274	1	figure	figure	VERB
ejpam-6042	274	2	6	6	NUM
ejpam-6042	274	3	:	:	PUNCT
ejpam-6042	274	4	partial	partial	ADJ
ejpam-6042	274	5	stability	stability	NOUN
ejpam-6042	274	6	region	region	NOUN
ejpam-6042	274	7	for	for	ADP
ejpam-6042	274	8	the	the	DET
ejpam-6042	274	9	real	real	ADJ
ejpam-6042	274	10	part	part	NOUN
ejpam-6042	274	11	of	of	ADP
ejpam-6042	274	12	w2	w2	NOUN
ejpam-6042	274	13	∈	∈	PROPN
ejpam-6042	275	1	[	[	X
ejpam-6042	275	2	−20	−20	NOUN
ejpam-6042	275	3	,	,	PUNCT
ejpam-6042	275	4	20	20	NUM
ejpam-6042	275	5	]	]	PUNCT
ejpam-6042	275	6	.	.	PUNCT
ejpam-6042	276	1	figure	figure	VERB
ejpam-6042	276	2	7	7	NUM
ejpam-6042	276	3	:	:	PUNCT
ejpam-6042	276	4	stability	stability	NOUN
ejpam-6042	276	5	property	property	NOUN
ejpam-6042	276	6	of	of	ADP
ejpam-6042	276	7	characteristic	characteristic	ADJ
ejpam-6042	276	8	polynomial	polynomial	NOUN
ejpam-6042	276	9	for	for	ADP
ejpam-6042	276	10	ξ	ξ	PROPN
ejpam-6042	276	11	against	against	ADP
ejpam-6042	276	12	w.	w.	NOUN
ejpam-6042	276	13	figure	figure	NOUN
ejpam-6042	276	14	8	8	NUM
ejpam-6042	276	15	:	:	PUNCT
ejpam-6042	276	16	stability	stability	NOUN
ejpam-6042	276	17	property	property	NOUN
ejpam-6042	276	18	of	of	ADP
ejpam-6042	276	19	characteristic	characteristic	ADJ
ejpam-6042	276	20	polynomial	polynomial	NOUN
ejpam-6042	276	21	for	for	ADP
ejpam-6042	276	22	ξ1	ξ1	NOUN
ejpam-6042	276	23	against	against	ADP
ejpam-6042	276	24	w.	w.	PROPN
ejpam-6042	276	25	z.	z.	PROPN
ejpam-6042	276	26	sun	sun	PROPN
ejpam-6042	276	27	et	et	PROPN
ejpam-6042	276	28	al	al	PROPN
ejpam-6042	276	29	.	.	PUNCT
ejpam-6042	276	30	/	/	SYM
ejpam-6042	276	31	eur	eur	PROPN
ejpam-6042	276	32	.	.	PUNCT
ejpam-6042	277	1	j.	j.	PROPN
ejpam-6042	277	2	pure	pure	PROPN
ejpam-6042	277	3	appl	appl	PROPN
ejpam-6042	277	4	.	.	PROPN
ejpam-6042	277	5	math	math	PROPN
ejpam-6042	277	6	,	,	PUNCT
ejpam-6042	277	7	18	18	NUM
ejpam-6042	277	8	(	(	PUNCT
ejpam-6042	277	9	4	4	NUM
ejpam-6042	277	10	)	)	PUNCT
ejpam-6042	277	11	(	(	PUNCT
ejpam-6042	277	12	2025	2025	NUM
ejpam-6042	277	13	)	)	PUNCT
ejpam-6042	277	14	,	,	PUNCT
ejpam-6042	277	15	6042	6042	NUM
ejpam-6042	277	16	15	15	NUM
ejpam-6042	277	17	of	of	ADP
ejpam-6042	277	18	45	45	NUM
ejpam-6042	277	19	figure	figure	NOUN
ejpam-6042	277	20	9	9	NUM
ejpam-6042	277	21	:	:	PUNCT
ejpam-6042	277	22	stability	stability	NOUN
ejpam-6042	277	23	property	property	NOUN
ejpam-6042	277	24	of	of	ADP
ejpam-6042	277	25	characteristic	characteristic	ADJ
ejpam-6042	277	26	polynomial	polynomial	NOUN
ejpam-6042	277	27	for	for	ADP
ejpam-6042	277	28	ξ2	ξ2	NOUN
ejpam-6042	277	29	against	against	ADP
ejpam-6042	277	30	w.	w.	PROPN
ejpam-6042	277	31	z.	z.	PROPN
ejpam-6042	277	32	sun	sun	PROPN
ejpam-6042	277	33	et	et	PROPN
ejpam-6042	277	34	al	al	PROPN
ejpam-6042	277	35	.	.	PUNCT
ejpam-6042	277	36	/	/	SYM
ejpam-6042	277	37	eur	eur	PROPN
ejpam-6042	277	38	.	.	PUNCT
ejpam-6042	278	1	j.	j.	PROPN
ejpam-6042	278	2	pure	pure	PROPN
ejpam-6042	278	3	appl	appl	PROPN
ejpam-6042	278	4	.	.	PROPN
ejpam-6042	278	5	math	math	PROPN
ejpam-6042	278	6	,	,	PUNCT
ejpam-6042	278	7	18	18	NUM
ejpam-6042	278	8	(	(	PUNCT
ejpam-6042	278	9	4	4	NUM
ejpam-6042	278	10	)	)	PUNCT
ejpam-6042	278	11	(	(	PUNCT
ejpam-6042	278	12	2025	2025	NUM
ejpam-6042	278	13	)	)	PUNCT
ejpam-6042	278	14	,	,	PUNCT
ejpam-6042	278	15	6042	6042	NUM
ejpam-6042	278	16	16	16	NUM
ejpam-6042	278	17	of	of	ADP
ejpam-6042	278	18	45	45	NUM
ejpam-6042	278	19	figure	figure	NOUN
ejpam-6042	278	20	10	10	NUM
ejpam-6042	278	21	:	:	PUNCT
ejpam-6042	278	22	periodicity	periodicity	NOUN
ejpam-6042	278	23	stability	stability	NOUN
ejpam-6042	278	24	region	region	NOUN
ejpam-6042	278	25	for	for	ADP
ejpam-6042	278	26	z	z	PROPN
ejpam-6042	278	27	against	against	ADP
ejpam-6042	278	28	w.	w.	PROPN
ejpam-6042	278	29	definition	definition	NOUN
ejpam-6042	278	30	3	3	NUM
ejpam-6042	278	31	(	(	PUNCT
ejpam-6042	278	32	[	[	X
ejpam-6042	278	33	14	14	NUM
ejpam-6042	278	34	]	]	NUM
ejpam-6042	278	35	)	)	PUNCT
ejpam-6042	278	36	.	.	PUNCT
ejpam-6042	279	1	an	an	DET
ejpam-6042	279	2	interval	interval	NOUN
ejpam-6042	279	3	i	i	NOUN
ejpam-6042	279	4	=	=	SYM
ejpam-6042	279	5	(	(	PUNCT
ejpam-6042	279	6	−w̃	−w̃	INTJ
ejpam-6042	279	7	,	,	PUNCT
ejpam-6042	279	8	0	0	NUM
ejpam-6042	279	9	)	)	PUNCT
ejpam-6042	279	10	is	be	AUX
ejpam-6042	279	11	said	say	VERB
ejpam-6042	279	12	to	to	PART
ejpam-6042	279	13	be	be	AUX
ejpam-6042	279	14	an	an	DET
ejpam-6042	279	15	interval	interval	NOUN
ejpam-6042	279	16	of	of	ADP
ejpam-6042	279	17	stability	stability	NOUN
ejpam-6042	279	18	of	of	ADP
ejpam-6042	279	19	the	the	DET
ejpam-6042	279	20	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	279	21	)	)	PUNCT
ejpam-6042	279	22	method	method	NOUN
ejpam-6042	279	23	if	if	SCONJ
ejpam-6042	279	24	for	for	ADP
ejpam-6042	279	25	all	all	DET
ejpam-6042	279	26	w̃	w̃	PROPN
ejpam-6042	279	27	∈	∈	PROPN
ejpam-6042	280	1	i	i	PRON
ejpam-6042	280	2	,	,	PUNCT
ejpam-6042	280	3	it	it	PRON
ejpam-6042	280	4	is	be	AUX
ejpam-6042	280	5	|ξ1,2|	|ξ1,2|	ADJ
ejpam-6042	280	6	<	<	X
ejpam-6042	280	7	1	1	NUM
ejpam-6042	280	8	.	.	PUNCT
ejpam-6042	281	1	the	the	DET
ejpam-6042	281	2	performance	performance	NOUN
ejpam-6042	281	3	of	of	ADP
ejpam-6042	281	4	the	the	DET
ejpam-6042	281	5	range	range	NOUN
ejpam-6042	281	6	of	of	ADP
ejpam-6042	281	7	w	w	NOUN
ejpam-6042	281	8	when	when	SCONJ
ejpam-6042	281	9	ξ	ξ	PROPN
ejpam-6042	281	10	is	be	AUX
ejpam-6042	281	11	between	between	ADP
ejpam-6042	281	12	-1	-1	PUNCT
ejpam-6042	281	13	and	and	CCONJ
ejpam-6042	281	14	1	1	NUM
ejpam-6042	281	15	is	be	AUX
ejpam-6042	281	16	worth	worth	ADJ
ejpam-6042	281	17	studying	study	VERB
ejpam-6042	281	18	,	,	PUNCT
ejpam-6042	281	19	then	then	ADV
ejpam-6042	281	20	by	by	ADP
ejpam-6042	281	21	calculation	calculation	NOUN
ejpam-6042	281	22	via	via	ADP
ejpam-6042	281	23	maple	maple	NOUN
ejpam-6042	281	24	,	,	PUNCT
ejpam-6042	281	25	we	we	PRON
ejpam-6042	281	26	obtain	obtain	VERB
ejpam-6042	281	27	the	the	DET
ejpam-6042	281	28	interval	interval	NOUN
ejpam-6042	281	29	of	of	ADP
ejpam-6042	281	30	stability	stability	NOUN
ejpam-6042	281	31	for	for	ADP
ejpam-6042	281	32	ξ1	ξ1	NOUN
ejpam-6042	281	33	is	be	AUX
ejpam-6042	281	34	(	(	PUNCT
ejpam-6042	281	35	−1.866	−1.866	NOUN
ejpam-6042	281	36	,	,	PUNCT
ejpam-6042	281	37	0	0	NUM
ejpam-6042	281	38	)	)	PUNCT
ejpam-6042	281	39	and	and	CCONJ
ejpam-6042	281	40	for	for	ADP
ejpam-6042	281	41	ξ2	ξ2	NOUN
ejpam-6042	281	42	is	be	AUX
ejpam-6042	281	43	(	(	PUNCT
ejpam-6042	281	44	−1.588	−1.588	NOUN
ejpam-6042	281	45	,	,	PUNCT
ejpam-6042	281	46	0	0	NUM
ejpam-6042	281	47	)	)	PUNCT
ejpam-6042	281	48	,	,	PUNCT
ejpam-6042	281	49	so	so	CCONJ
ejpam-6042	281	50	the	the	DET
ejpam-6042	281	51	interval	interval	NOUN
ejpam-6042	281	52	of	of	ADP
ejpam-6042	281	53	stability	stability	NOUN
ejpam-6042	281	54	for	for	ADP
ejpam-6042	281	55	the	the	DET
ejpam-6042	281	56	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	281	57	)	)	PUNCT
ejpam-6042	281	58	method	method	NOUN
ejpam-6042	281	59	is	be	AUX
ejpam-6042	281	60	(	(	PUNCT
ejpam-6042	281	61	−1.588	−1.588	PROPN
ejpam-6042	281	62	,	,	PUNCT
ejpam-6042	281	63	0	0	NUM
ejpam-6042	281	64	)	)	PUNCT
ejpam-6042	281	65	.	.	PUNCT
ejpam-6042	282	1	5.3.2	5.3.2	X
ejpam-6042	282	2	.	.	PUNCT
ejpam-6042	283	1	for	for	ADP
ejpam-6042	283	2	the	the	DET
ejpam-6042	283	3	case	case	NOUN
ejpam-6042	283	4	of	of	ADP
ejpam-6042	283	5	different	different	ADJ
ejpam-6042	283	6	frequency	frequency	NOUN
ejpam-6042	283	7	definition	definition	NOUN
ejpam-6042	283	8	4	4	NUM
ejpam-6042	283	9	(	(	PUNCT
ejpam-6042	283	10	[	[	X
ejpam-6042	283	11	17	17	NUM
ejpam-6042	283	12	]	]	NUM
ejpam-6042	283	13	)	)	PUNCT
ejpam-6042	283	14	.	.	PUNCT
ejpam-6042	284	1	for	for	ADP
ejpam-6042	284	2	the	the	DET
ejpam-6042	284	3	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	284	4	)	)	PUNCT
ejpam-6042	284	5	method	method	NOUN
ejpam-6042	284	6	with	with	ADP
ejpam-6042	284	7	the	the	DET
ejpam-6042	284	8	stability	stability	NOUN
ejpam-6042	284	9	matrix	matrix	NOUN
ejpam-6042	284	10	n	n	CCONJ
ejpam-6042	284	11	(	(	PUNCT
ejpam-6042	284	12	z2;w	z2;w	PROPN
ejpam-6042	284	13	)	)	PUNCT
ejpam-6042	284	14	and	and	CCONJ
ejpam-6042	284	15	its	its	PRON
ejpam-6042	284	16	eigenvalues	eigenvalue	NOUN
ejpam-6042	284	17	,	,	PUNCT
ejpam-6042	284	18	ξi	ξi	PROPN
ejpam-6042	284	19	(	(	PUNCT
ejpam-6042	284	20	i	i	NOUN
ejpam-6042	284	21	=	=	NOUN
ejpam-6042	284	22	1	1	NUM
ejpam-6042	284	23	,	,	PUNCT
ejpam-6042	284	24	2	2	NUM
ejpam-6042	284	25	)	)	PUNCT
ejpam-6042	284	26	,	,	PUNCT
ejpam-6042	284	27	the	the	DET
ejpam-6042	284	28	region	region	NOUN
ejpam-6042	284	29	in	in	ADP
ejpam-6042	284	30	complex	complex	ADJ
ejpam-6042	284	31	plane	plane	NOUN
ejpam-6042	284	32	rp	rp	NOUN
ejpam-6042	284	33	=	=	PUNCT
ejpam-6042	284	34	{	{	PUNCT
ejpam-6042	284	35	(	(	PUNCT
ejpam-6042	284	36	w	w	PROPN
ejpam-6042	284	37	,	,	PUNCT
ejpam-6042	284	38	z	z	NOUN
ejpam-6042	284	39	)	)	PUNCT
ejpam-6042	284	40	:	:	PUNCT
ejpam-6042	284	41	|ξi|	|ξi|	PROPN
ejpam-6042	284	42	<	<	X
ejpam-6042	284	43	1	1	NUM
ejpam-6042	284	44	,	,	PUNCT
ejpam-6042	284	45	i	i	PRON
ejpam-6042	284	46	=	=	NOUN
ejpam-6042	284	47	1	1	NUM
ejpam-6042	284	48	,	,	PUNCT
ejpam-6042	284	49	2	2	NUM
ejpam-6042	284	50	}	}	PUNCT
ejpam-6042	284	51	is	be	AUX
ejpam-6042	284	52	called	call	VERB
ejpam-6042	284	53	the	the	DET
ejpam-6042	284	54	periodicity	periodicity	NOUN
ejpam-6042	284	55	region	region	NOUN
ejpam-6042	284	56	of	of	ADP
ejpam-6042	284	57	the	the	DET
ejpam-6042	284	58	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	284	59	)	)	PUNCT
ejpam-6042	284	60	method	method	NOUN
ejpam-6042	284	61	.	.	PUNCT
ejpam-6042	285	1	the	the	DET
ejpam-6042	285	2	periodicity	periodicity	NOUN
ejpam-6042	285	3	region	region	NOUN
ejpam-6042	285	4	of	of	ADP
ejpam-6042	285	5	the	the	DET
ejpam-6042	285	6	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	285	7	)	)	PUNCT
ejpam-6042	285	8	method	method	NOUN
ejpam-6042	285	9	with	with	ADP
ejpam-6042	285	10	λ	λ	PROPN
ejpam-6042	285	11	̸=	̸=	PROPN
ejpam-6042	285	12	µ	µ	NUM
ejpam-6042	285	13	is	be	AUX
ejpam-6042	285	14	depicted	depict	VERB
ejpam-6042	285	15	in	in	ADP
ejpam-6042	285	16	fig	fig	NOUN
ejpam-6042	285	17	.	.	PUNCT
ejpam-6042	286	1	10	10	NUM
ejpam-6042	286	2	.	.	PUNCT
ejpam-6042	287	1	for	for	ADP
ejpam-6042	287	2	similar	similar	ADJ
ejpam-6042	287	3	reason	reason	NOUN
ejpam-6042	287	4	to	to	ADP
ejpam-6042	287	5	the	the	DET
ejpam-6042	287	6	stability	stability	NOUN
ejpam-6042	287	7	regions	region	NOUN
ejpam-6042	287	8	mentioned	mention	VERB
ejpam-6042	287	9	in	in	ADP
ejpam-6042	287	10	the	the	DET
ejpam-6042	287	11	subsection	subsection	NOUN
ejpam-6042	287	12	5.3.1	5.3.1	NUM
ejpam-6042	287	13	,	,	PUNCT
ejpam-6042	287	14	we	we	PRON
ejpam-6042	287	15	are	be	AUX
ejpam-6042	287	16	more	more	ADV
ejpam-6042	287	17	focused	focused	ADJ
ejpam-6042	287	18	on	on	ADP
ejpam-6042	287	19	the	the	DET
ejpam-6042	287	20	distribution	distribution	NOUN
ejpam-6042	287	21	when	when	SCONJ
ejpam-6042	287	22	w	w	PROPN
ejpam-6042	287	23	and	and	CCONJ
ejpam-6042	287	24	z	z	NOUN
ejpam-6042	287	25	take	take	VERB
ejpam-6042	287	26	relatively	relatively	ADV
ejpam-6042	287	27	smaller	small	ADJ
ejpam-6042	287	28	values	value	NOUN
ejpam-6042	287	29	.	.	PUNCT
ejpam-6042	288	1	figs	fig	NOUN
ejpam-6042	288	2	.	.	PUNCT
ejpam-6042	289	1	11	11	NUM
ejpam-6042	289	2	-	-	SYM
ejpam-6042	289	3	14	14	NUM
ejpam-6042	289	4	illustrate	illustrate	VERB
ejpam-6042	289	5	the	the	DET
ejpam-6042	289	6	stability	stability	NOUN
ejpam-6042	289	7	property	property	NOUN
ejpam-6042	289	8	of	of	ADP
ejpam-6042	289	9	characteristic	characteristic	ADJ
ejpam-6042	289	10	polynomial	polynomial	NOUN
ejpam-6042	289	11	(	(	PUNCT
ejpam-6042	289	12	34	34	NUM
ejpam-6042	289	13	)	)	PUNCT
ejpam-6042	289	14	for	for	ADP
ejpam-6042	289	15	different	different	ADJ
ejpam-6042	289	16	w	w	PROPN
ejpam-6042	289	17	,	,	PUNCT
ejpam-6042	289	18	z	z	NOUN
ejpam-6042	289	19	range	range	NOUN
ejpam-6042	289	20	and	and	CCONJ
ejpam-6042	289	21	contour	contour	NOUN
ejpam-6042	289	22	on	on	ADP
ejpam-6042	289	23	different	different	ADJ
ejpam-6042	289	24	value	value	NOUN
ejpam-6042	289	25	of	of	ADP
ejpam-6042	289	26	ξ	ξ	PROPN
ejpam-6042	289	27	.	.	PUNCT
ejpam-6042	290	1	note	note	VERB
ejpam-6042	290	2	that	that	SCONJ
ejpam-6042	290	3	four	four	NUM
ejpam-6042	290	4	different	different	ADJ
ejpam-6042	290	5	w	w	NOUN
ejpam-6042	290	6	,	,	PUNCT
ejpam-6042	290	7	z	z	NOUN
ejpam-6042	290	8	ranges	range	NOUN
ejpam-6042	290	9	of	of	ADP
ejpam-6042	290	10	four	four	NUM
ejpam-6042	290	11	figures	figure	NOUN
ejpam-6042	290	12	can	can	AUX
ejpam-6042	290	13	fit	fit	VERB
ejpam-6042	290	14	the	the	DET
ejpam-6042	290	15	frequency	frequency	NOUN
ejpam-6042	290	16	,	,	PUNCT
ejpam-6042	290	17	λ	λ	PROPN
ejpam-6042	290	18	,	,	PUNCT
ejpam-6042	290	19	µ	µ	NOUN
ejpam-6042	290	20	and	and	CCONJ
ejpam-6042	290	21	step	step	NOUN
ejpam-6042	290	22	size	size	NOUN
ejpam-6042	290	23	,	,	PUNCT
ejpam-6042	290	24	h	h	NOUN
ejpam-6042	290	25	of	of	ADP
ejpam-6042	290	26	most	most	ADJ
ejpam-6042	290	27	experiments	experiment	NOUN
ejpam-6042	290	28	,	,	PUNCT
ejpam-6042	290	29	so	so	SCONJ
ejpam-6042	290	30	we	we	PRON
ejpam-6042	290	31	can	can	AUX
ejpam-6042	290	32	obtain	obtain	VERB
ejpam-6042	290	33	the	the	DET
ejpam-6042	290	34	approximate	approximate	ADJ
ejpam-6042	290	35	w	w	PROPN
ejpam-6042	290	36	,	,	PUNCT
ejpam-6042	290	37	z	z	NOUN
ejpam-6042	290	38	regions	region	NOUN
ejpam-6042	290	39	that	that	PRON
ejpam-6042	290	40	meet	meet	VERB
ejpam-6042	290	41	“	"	PUNCT
ejpam-6042	290	42	|ξi|	|ξi|	PROPN
ejpam-6042	290	43	<	<	X
ejpam-6042	290	44	1	1	NUM
ejpam-6042	290	45	,	,	PUNCT
ejpam-6042	290	46	i	i	PRON
ejpam-6042	290	47	=	=	NOUN
ejpam-6042	290	48	1	1	NUM
ejpam-6042	290	49	,	,	PUNCT
ejpam-6042	290	50	2	2	NUM
ejpam-6042	290	51	”	"	PUNCT
ejpam-6042	290	52	.	.	PUNCT
ejpam-6042	291	1	6	6	NUM
ejpam-6042	291	2	.	.	X
ejpam-6042	292	1	algebraic	algebraic	ADJ
ejpam-6042	292	2	order	order	VERB
ejpam-6042	292	3	analysis	analysis	NOUN
ejpam-6042	292	4	in	in	ADP
ejpam-6042	292	5	order	order	NOUN
ejpam-6042	292	6	to	to	PART
ejpam-6042	292	7	derive	derive	VERB
ejpam-6042	292	8	a	a	DET
ejpam-6042	292	9	general	general	ADJ
ejpam-6042	292	10	formula	formula	NOUN
ejpam-6042	292	11	for	for	ADP
ejpam-6042	292	12	the	the	DET
ejpam-6042	292	13	higher	high	ADJ
ejpam-6042	292	14	-	-	PUNCT
ejpam-6042	292	15	order	order	NOUN
ejpam-6042	292	16	derivatives	derivative	NOUN
ejpam-6042	292	17	of	of	ADP
ejpam-6042	292	18	the	the	DET
ejpam-6042	292	19	theoretical	theoretical	ADJ
ejpam-6042	292	20	solution	solution	NOUN
ejpam-6042	292	21	of	of	ADP
ejpam-6042	292	22	the	the	DET
ejpam-6042	292	23	problem	problem	NOUN
ejpam-6042	292	24	(	(	PUNCT
ejpam-6042	292	25	1	1	NUM
ejpam-6042	292	26	)	)	PUNCT
ejpam-6042	292	27	,	,	PUNCT
ejpam-6042	292	28	we	we	PRON
ejpam-6042	292	29	propose	propose	VERB
ejpam-6042	292	30	expressing	express	VERB
ejpam-6042	292	31	the	the	DET
ejpam-6042	292	32	theoretical	theoretical	ADJ
ejpam-6042	292	33	solution	solution	NOUN
ejpam-6042	292	34	,	,	PUNCT
ejpam-6042	292	35	u	u	NOUN
ejpam-6042	292	36	(	(	PUNCT
ejpam-6042	292	37	t	t	PROPN
ejpam-6042	292	38	)	)	PUNCT
ejpam-6042	292	39	at	at	ADP
ejpam-6042	292	40	t	t	NOUN
ejpam-6042	292	41	=	=	SYM
ejpam-6042	292	42	t0	t0	PROPN
ejpam-6042	292	43	z.	z.	PROPN
ejpam-6042	292	44	sun	sun	PROPN
ejpam-6042	292	45	et	et	PROPN
ejpam-6042	292	46	al	al	PROPN
ejpam-6042	292	47	.	.	PUNCT
ejpam-6042	292	48	/	/	SYM
ejpam-6042	292	49	eur	eur	PROPN
ejpam-6042	292	50	.	.	PUNCT
ejpam-6042	293	1	j.	j.	PROPN
ejpam-6042	293	2	pure	pure	PROPN
ejpam-6042	293	3	appl	appl	PROPN
ejpam-6042	293	4	.	.	PROPN
ejpam-6042	293	5	math	math	PROPN
ejpam-6042	293	6	,	,	PUNCT
ejpam-6042	293	7	18	18	NUM
ejpam-6042	293	8	(	(	PUNCT
ejpam-6042	293	9	4	4	NUM
ejpam-6042	293	10	)	)	PUNCT
ejpam-6042	293	11	(	(	PUNCT
ejpam-6042	293	12	2025	2025	NUM
ejpam-6042	293	13	)	)	PUNCT
ejpam-6042	293	14	,	,	PUNCT
ejpam-6042	293	15	6042	6042	NUM
ejpam-6042	293	16	17	17	NUM
ejpam-6042	293	17	of	of	ADP
ejpam-6042	293	18	45	45	NUM
ejpam-6042	293	19	figure	figure	NOUN
ejpam-6042	293	20	11	11	NUM
ejpam-6042	293	21	:	:	PUNCT
ejpam-6042	293	22	stability	stability	NOUN
ejpam-6042	293	23	property	property	NOUN
ejpam-6042	293	24	of	of	ADP
ejpam-6042	293	25	characteristic	characteristic	ADJ
ejpam-6042	293	26	polynomial	polynomial	NOUN
ejpam-6042	293	27	with	with	ADP
ejpam-6042	293	28	w	w	PROPN
ejpam-6042	293	29	,	,	PUNCT
ejpam-6042	293	30	z	z	NOUN
ejpam-6042	293	31	∈	∈	PROPN
ejpam-6042	294	1	[	[	X
ejpam-6042	294	2	−5	−5	NOUN
ejpam-6042	294	3	,	,	PUNCT
ejpam-6042	294	4	5	5	NUM
ejpam-6042	294	5	]	]	PUNCT
ejpam-6042	294	6	and	and	CCONJ
ejpam-6042	294	7	contour	contour	NOUN
ejpam-6042	294	8	on	on	ADP
ejpam-6042	294	9	ξ	ξ	PROPN
ejpam-6042	294	10	=	=	SYM
ejpam-6042	294	11	−8	−8	PROPN
ejpam-6042	294	12	.	.	PUNCT
ejpam-6042	294	13	figure	figure	NOUN
ejpam-6042	294	14	12	12	NUM
ejpam-6042	294	15	:	:	PUNCT
ejpam-6042	294	16	stability	stability	NOUN
ejpam-6042	294	17	property	property	NOUN
ejpam-6042	294	18	of	of	ADP
ejpam-6042	294	19	characteristic	characteristic	ADJ
ejpam-6042	294	20	polynomial	polynomial	NOUN
ejpam-6042	294	21	with	with	ADP
ejpam-6042	294	22	w	w	PROPN
ejpam-6042	294	23	,	,	PUNCT
ejpam-6042	294	24	z	z	NOUN
ejpam-6042	294	25	∈	∈	PROPN
ejpam-6042	295	1	[	[	X
ejpam-6042	295	2	0	0	NUM
ejpam-6042	295	3	,	,	PUNCT
ejpam-6042	295	4	3	3	NUM
ejpam-6042	295	5	]	]	PUNCT
ejpam-6042	295	6	and	and	CCONJ
ejpam-6042	295	7	contour	contour	NOUN
ejpam-6042	295	8	on	on	ADP
ejpam-6042	295	9	ξ	ξ	PROPN
ejpam-6042	295	10	=	=	SYM
ejpam-6042	295	11	−8	−8	PROPN
ejpam-6042	295	12	.	.	PUNCT
ejpam-6042	296	1	figure	figure	NOUN
ejpam-6042	296	2	13	13	NUM
ejpam-6042	296	3	:	:	PUNCT
ejpam-6042	296	4	stability	stability	NOUN
ejpam-6042	296	5	property	property	NOUN
ejpam-6042	296	6	of	of	ADP
ejpam-6042	296	7	characteristic	characteristic	ADJ
ejpam-6042	296	8	polynomial	polynomial	NOUN
ejpam-6042	296	9	with	with	ADP
ejpam-6042	296	10	w	w	PROPN
ejpam-6042	296	11	,	,	PUNCT
ejpam-6042	296	12	z	z	NOUN
ejpam-6042	296	13	∈	∈	PROPN
ejpam-6042	297	1	[	[	X
ejpam-6042	297	2	−1.588	−1.588	X
ejpam-6042	297	3	,	,	PUNCT
ejpam-6042	297	4	1.588	1.588	NUM
ejpam-6042	297	5	]	]	PUNCT
ejpam-6042	297	6	and	and	CCONJ
ejpam-6042	297	7	contour	contour	NOUN
ejpam-6042	297	8	on	on	ADP
ejpam-6042	297	9	ξ	ξ	PROPN
ejpam-6042	297	10	=	=	SYM
ejpam-6042	297	11	−2	−2	PROPN
ejpam-6042	297	12	.	.	PUNCT
ejpam-6042	298	1	figure	figure	NOUN
ejpam-6042	298	2	14	14	NUM
ejpam-6042	298	3	:	:	PUNCT
ejpam-6042	298	4	stability	stability	NOUN
ejpam-6042	298	5	property	property	NOUN
ejpam-6042	298	6	of	of	ADP
ejpam-6042	298	7	characteristic	characteristic	ADJ
ejpam-6042	298	8	polynomial	polynomial	NOUN
ejpam-6042	298	9	with	with	ADP
ejpam-6042	298	10	w	w	PROPN
ejpam-6042	298	11	,	,	PUNCT
ejpam-6042	298	12	z	z	NOUN
ejpam-6042	298	13	∈	∈	PROPN
ejpam-6042	299	1	[	[	X
ejpam-6042	299	2	−0.1	−0.1	X
ejpam-6042	299	3	,	,	PUNCT
ejpam-6042	299	4	0.1	0.1	NUM
ejpam-6042	299	5	]	]	PUNCT
ejpam-6042	299	6	and	and	CCONJ
ejpam-6042	299	7	contour	contour	NOUN
ejpam-6042	299	8	on	on	ADP
ejpam-6042	299	9	ξ	ξ	PROPN
ejpam-6042	299	10	=	=	SYM
ejpam-6042	299	11	−2	−2	NOUN
ejpam-6042	299	12	.	.	PUNCT
ejpam-6042	300	1	from	from	ADP
ejpam-6042	300	2	first	first	ADV
ejpam-6042	300	3	to	to	PART
ejpam-6042	300	4	seventh	seventh	ADJ
ejpam-6042	300	5	derivatives	derivative	NOUN
ejpam-6042	300	6	u(1	u(1	PROPN
ejpam-6042	300	7	)	)	PUNCT
ejpam-6042	300	8	=	=	SYM
ejpam-6042	301	1	z	z	NOUN
ejpam-6042	301	2	,	,	PUNCT
ejpam-6042	301	3	u(2	u(2	ADJ
ejpam-6042	301	4	)	)	PUNCT
ejpam-6042	301	5	=	=	SYM
ejpam-6042	302	1	f	f	X
ejpam-6042	302	2	,	,	PUNCT
ejpam-6042	302	3	u(3	u(3	PROPN
ejpam-6042	302	4	)	)	PUNCT
ejpam-6042	302	5	=	=	SYM
ejpam-6042	302	6	g	g	NOUN
ejpam-6042	302	7	,	,	PUNCT
ejpam-6042	302	8	u(4	u(4	PROPN
ejpam-6042	302	9	)	)	PUNCT
ejpam-6042	302	10	=	=	SYM
ejpam-6042	303	1	guz	guz	PROPN
ejpam-6042	303	2	+	+	CCONJ
ejpam-6042	303	3	gzf	gzf	PROPN
ejpam-6042	303	4	,	,	PUNCT
ejpam-6042	303	5	u	u	NOUN
ejpam-6042	303	6	(	(	PUNCT
ejpam-6042	303	7	5	5	NUM
ejpam-6042	303	8	)	)	PUNCT
ejpam-6042	303	9	=	=	SYM
ejpam-6042	303	10	guuz	guuz	NOUN
ejpam-6042	303	11	2	2	NUM
ejpam-6042	303	12	+	+	CCONJ
ejpam-6042	303	13	2guzfz	2guzfz	NUM
ejpam-6042	303	14	+	+	CCONJ
ejpam-6042	303	15	guf	guf	NOUN
ejpam-6042	303	16	+	+	CCONJ
ejpam-6042	303	17	gzzf	gzzf	PROPN
ejpam-6042	303	18	2	2	NUM
ejpam-6042	303	19	+	+	CCONJ
ejpam-6042	303	20	gzg	gzg	PROPN
ejpam-6042	303	21	,	,	PUNCT
ejpam-6042	303	22	u(6	u(6	NOUN
ejpam-6042	303	23	)	)	PUNCT
ejpam-6042	303	24	=	=	SYM
ejpam-6042	303	25	guuuz	guuuz	NOUN
ejpam-6042	303	26	3	3	NUM
ejpam-6042	303	27	+	+	CCONJ
ejpam-6042	303	28	3	3	NUM
ejpam-6042	303	29	(	(	PUNCT
ejpam-6042	303	30	guuzfz	guuzfz	NOUN
ejpam-6042	303	31	2	2	NUM
ejpam-6042	303	32	+	+	CCONJ
ejpam-6042	303	33	guufz	guufz	NOUN
ejpam-6042	304	1	+	+	CCONJ
ejpam-6042	304	2	guzzf	guzzf	NOUN
ejpam-6042	304	3	2z	2z	NUM
ejpam-6042	304	4	+	+	CCONJ
ejpam-6042	304	5	guzgz	guzgz	NOUN
ejpam-6042	304	6	+	+	CCONJ
ejpam-6042	304	7	guzf	guzf	NOUN
ejpam-6042	304	8	2	2	NUM
ejpam-6042	304	9	+	+	NUM
ejpam-6042	304	10	gzzgf	gzzgf	NOUN
ejpam-6042	304	11	)	)	PUNCT
ejpam-6042	305	1	+	+	CCONJ
ejpam-6042	305	2	gug	gug	PROPN
ejpam-6042	305	3	+	+	CCONJ
ejpam-6042	305	4	gzzzf	gzzzf	ADJ
ejpam-6042	305	5	3	3	NUM
ejpam-6042	305	6	+	+	CCONJ
ejpam-6042	305	7	gz	gz	PROPN
ejpam-6042	305	8	(	(	PUNCT
ejpam-6042	305	9	guz	guz	PROPN
ejpam-6042	305	10	+	+	CCONJ
ejpam-6042	305	11	gzf	gzf	PROPN
ejpam-6042	305	12	)	)	PUNCT
ejpam-6042	305	13	,	,	PUNCT
ejpam-6042	305	14	u(7	u(7	PROPN
ejpam-6042	305	15	)	)	PUNCT
ejpam-6042	305	16	=	=	NOUN
ejpam-6042	305	17	12	12	NUM
ejpam-6042	305	18	(	(	PUNCT
ejpam-6042	305	19	guzzgfz	guzzgfz	NOUN
ejpam-6042	305	20	+	+	CCONJ
ejpam-6042	305	21	guuzf	guuzf	NOUN
ejpam-6042	305	22	2z	2z	NUM
ejpam-6042	305	23	)	)	PUNCT
ejpam-6042	306	1	+	+	CCONJ
ejpam-6042	306	2	10guzgf	10guzgf	NUM
ejpam-6042	307	1	+	+	CCONJ
ejpam-6042	307	2	6	6	NUM
ejpam-6042	307	3	(	(	PUNCT
ejpam-6042	307	4	guuufz	guuufz	NOUN
ejpam-6042	307	5	2	2	NUM
ejpam-6042	307	6	+	+	NUM
ejpam-6042	307	7	guuzzf	guuzzf	NOUN
ejpam-6042	307	8	2z2	2z2	NUM
ejpam-6042	307	9	+	+	CCONJ
ejpam-6042	307	10	guuzgz	guuzgz	NOUN
ejpam-6042	307	11	2	2	NUM
ejpam-6042	307	12	+	+	CCONJ
ejpam-6042	307	13	gzzzgf	gzzzgf	ADJ
ejpam-6042	307	14	2	2	NUM
ejpam-6042	307	15	+	+	CCONJ
ejpam-6042	307	16	guzzf	guzzf	NOUN
ejpam-6042	307	17	3	3	NUM
ejpam-6042	307	18	)	)	PUNCT
ejpam-6042	308	1	+	+	CCONJ
ejpam-6042	308	2	4	4	NUM
ejpam-6042	308	3	(	(	PUNCT
ejpam-6042	308	4	guugz	guugz	NOUN
ejpam-6042	308	5	+	+	CCONJ
ejpam-6042	308	6	guzzzf	guzzzf	PROPN
ejpam-6042	308	7	3z	3z	NUM
ejpam-6042	308	8	+	+	CCONJ
ejpam-6042	308	9	guzguz	guzguz	ADJ
ejpam-6042	308	10	2	2	NUM
ejpam-6042	308	11	+	+	CCONJ
ejpam-6042	308	12	guzgzfz	guzgzfz	NOUN
ejpam-6042	308	13	+	+	CCONJ
ejpam-6042	308	14	gzzgufz	gzzgufz	NOUN
ejpam-6042	308	15	+	+	CCONJ
ejpam-6042	308	16	gzzgzf	gzzgzf	NOUN
ejpam-6042	308	17	2	2	NUM
ejpam-6042	308	18	+	+	NOUN
ejpam-6042	308	19	guuuzfz	guuuzfz	NOUN
ejpam-6042	308	20	3	3	NUM
ejpam-6042	308	21	)	)	PUNCT
ejpam-6042	308	22	+	+	CCONJ
ejpam-6042	308	23	3	3	NUM
ejpam-6042	308	24	(	(	PUNCT
ejpam-6042	308	25	guuf	guuf	ADJ
ejpam-6042	308	26	2	2	NUM
ejpam-6042	308	27	+	+	NUM
ejpam-6042	308	28	gzzg	gzzg	X
ejpam-6042	308	29	2	2	NUM
ejpam-6042	308	30	)	)	PUNCT
ejpam-6042	308	31	+	+	CCONJ
ejpam-6042	308	32	gz	gz	PROPN
ejpam-6042	308	33	(	(	PUNCT
ejpam-6042	308	34	guuz	guuz	NOUN
ejpam-6042	308	35	2	2	NUM
ejpam-6042	308	36	+	+	CCONJ
ejpam-6042	308	37	2guzfz	2guzfz	NUM
ejpam-6042	308	38	+	+	CCONJ
ejpam-6042	308	39	guf	guf	NOUN
ejpam-6042	308	40	+	+	CCONJ
ejpam-6042	308	41	gzzf	gzzf	PROPN
ejpam-6042	308	42	2	2	NUM
ejpam-6042	308	43	+	+	CCONJ
ejpam-6042	308	44	gzg	gzg	NOUN
ejpam-6042	308	45	)	)	PUNCT
ejpam-6042	309	1	+	+	CCONJ
ejpam-6042	309	2	′	′	NUM
ejpam-6042	309	3	u	u	NOUN
ejpam-6042	309	4	(	(	PUNCT
ejpam-6042	309	5	guz	guz	PROPN
ejpam-6042	309	6	+	+	CCONJ
ejpam-6042	309	7	gzf	gzf	PROPN
ejpam-6042	309	8	)	)	PUNCT
ejpam-6042	310	1	+	+	NOUN
ejpam-6042	310	2	guuuuz	guuuuz	NOUN
ejpam-6042	310	3	4	4	NUM
ejpam-6042	311	1	+	+	NUM
ejpam-6042	311	2	gzzzzf	gzzzzf	NOUN
ejpam-6042	311	3	4	4	NUM
ejpam-6042	311	4	.	.	PUNCT
ejpam-6042	311	5	(	(	PUNCT
ejpam-6042	311	6	41	41	NUM
ejpam-6042	311	7	)	)	PUNCT
ejpam-6042	311	8	z.	z.	PROPN
ejpam-6042	311	9	sun	sun	PROPN
ejpam-6042	311	10	et	et	PROPN
ejpam-6042	311	11	al	al	PROPN
ejpam-6042	311	12	.	.	PUNCT
ejpam-6042	311	13	/	/	SYM
ejpam-6042	311	14	eur	eur	PROPN
ejpam-6042	311	15	.	.	PUNCT
ejpam-6042	312	1	j.	j.	PROPN
ejpam-6042	312	2	pure	pure	PROPN
ejpam-6042	312	3	appl	appl	PROPN
ejpam-6042	312	4	.	.	PROPN
ejpam-6042	312	5	math	math	PROPN
ejpam-6042	312	6	,	,	PUNCT
ejpam-6042	312	7	18	18	NUM
ejpam-6042	312	8	(	(	PUNCT
ejpam-6042	312	9	4	4	NUM
ejpam-6042	312	10	)	)	PUNCT
ejpam-6042	312	11	(	(	PUNCT
ejpam-6042	312	12	2025	2025	NUM
ejpam-6042	312	13	)	)	PUNCT
ejpam-6042	312	14	,	,	PUNCT
ejpam-6042	312	15	6042	6042	NUM
ejpam-6042	312	16	18	18	NUM
ejpam-6042	312	17	of	of	ADP
ejpam-6042	312	18	45	45	NUM
ejpam-6042	312	19	then	then	ADV
ejpam-6042	312	20	we	we	PRON
ejpam-6042	312	21	demonstrate	demonstrate	VERB
ejpam-6042	312	22	the	the	DET
ejpam-6042	312	23	ltes	lte	NOUN
ejpam-6042	312	24	for	for	ADP
ejpam-6042	312	25	u	u	NOUN
ejpam-6042	312	26	and	and	CCONJ
ejpam-6042	312	27	u′	u′	PROPN
ejpam-6042	312	28	generated	generate	VERB
ejpam-6042	312	29	by	by	ADP
ejpam-6042	312	30	the	the	DET
ejpam-6042	312	31	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	312	32	)	)	PUNCT
ejpam-6042	312	33	method	method	NOUN
ejpam-6042	312	34	.	.	PUNCT
ejpam-6042	313	1	the	the	DET
ejpam-6042	313	2	taylor	taylor	PROPN
ejpam-6042	313	3	series	series	PROPN
ejpam-6042	313	4	expansion	expansion	NOUN
ejpam-6042	313	5	is	be	AUX
ejpam-6042	313	6	applied	apply	VERB
ejpam-6042	313	7	over	over	ADP
ejpam-6042	313	8	h	h	NOUN
ejpam-6042	313	9	to	to	ADP
ejpam-6042	313	10	the	the	DET
ejpam-6042	313	11	theoretical	theoretical	ADJ
ejpam-6042	313	12	solution	solution	NOUN
ejpam-6042	313	13	u(tn	u(tn	PROPN
ejpam-6042	313	14	+	+	CCONJ
ejpam-6042	313	15	h	h	NOUN
ejpam-6042	313	16	)	)	PUNCT
ejpam-6042	313	17	,	,	PUNCT
ejpam-6042	313	18	its	its	PRON
ejpam-6042	313	19	derivative	derivative	ADJ
ejpam-6042	313	20	u′(tn	u′(tn	NOUN
ejpam-6042	313	21	+	+	CCONJ
ejpam-6042	313	22	h	h	NOUN
ejpam-6042	313	23	)	)	PUNCT
ejpam-6042	313	24	,	,	PUNCT
ejpam-6042	313	25	the	the	DET
ejpam-6042	313	26	numerical	numerical	ADJ
ejpam-6042	313	27	solution	solution	NOUN
ejpam-6042	313	28	un+1	un+1	PROPN
ejpam-6042	313	29	,	,	PUNCT
ejpam-6042	313	30	and	and	CCONJ
ejpam-6042	313	31	its	its	PRON
ejpam-6042	313	32	derivative	derivative	ADJ
ejpam-6042	313	33	u′n+1	u′n+1	NOUN
ejpam-6042	313	34	.	.	PUNCT
ejpam-6042	314	1	for	for	ADP
ejpam-6042	314	2	the	the	DET
ejpam-6042	314	3	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	314	4	)	)	PUNCT
ejpam-6042	314	5	method	method	NOUN
ejpam-6042	314	6	,	,	PUNCT
ejpam-6042	314	7	the	the	DET
ejpam-6042	314	8	ltes	lte	NOUN
ejpam-6042	314	9	at	at	ADP
ejpam-6042	314	10	tn+1	tn+1	NUM
ejpam-6042	314	11	for	for	ADP
ejpam-6042	314	12	both	both	CCONJ
ejpam-6042	314	13	the	the	DET
ejpam-6042	314	14	theoretical	theoretical	ADJ
ejpam-6042	314	15	and	and	CCONJ
ejpam-6042	314	16	numerical	numerical	ADJ
ejpam-6042	314	17	solutions	solution	NOUN
ejpam-6042	314	18	,	,	PUNCT
ejpam-6042	314	19	along	along	ADP
ejpam-6042	314	20	with	with	ADP
ejpam-6042	314	21	their	their	PRON
ejpam-6042	314	22	respective	respective	ADJ
ejpam-6042	314	23	derivatives	derivative	NOUN
ejpam-6042	314	24	,	,	PUNCT
ejpam-6042	314	25	are	be	AUX
ejpam-6042	314	26	given	give	VERB
ejpam-6042	314	27	as	as	SCONJ
ejpam-6042	314	28	follows	follow	VERB
ejpam-6042	314	29	lteno	lteno	NOUN
ejpam-6042	314	30	fitted(u	fitted(u	NOUN
ejpam-6042	314	31	)	)	PUNCT
ejpam-6042	314	32	=	=	PUNCT
ejpam-6042	315	1	un+1	un+1	PROPN
ejpam-6042	315	2	−	−	PROPN
ejpam-6042	315	3	u	u	NOUN
ejpam-6042	315	4	(	(	PUNCT
ejpam-6042	315	5	tn	tn	NOUN
ejpam-6042	315	6	+	+	CCONJ
ejpam-6042	315	7	h	h	NOUN
ejpam-6042	315	8	)	)	PUNCT
ejpam-6042	315	9	=	=	PUNCT
ejpam-6042	315	10	(	(	PUNCT
ejpam-6042	315	11	1	1	NUM
ejpam-6042	315	12	2400	2400	NUM
ejpam-6042	315	13	(	(	PUNCT
ejpam-6042	315	14	5	5	NUM
ejpam-6042	315	15	3	3	NUM
ejpam-6042	315	16	−	−	NOUN
ejpam-6042	315	17	√	√	NUM
ejpam-6042	315	18	5	5	NUM
ejpam-6042	315	19	)	)	PUNCT
ejpam-6042	315	20	(	(	PUNCT
ejpam-6042	315	21	g2z	g2z	VERB
ejpam-6042	315	22	+	+	CCONJ
ejpam-6042	315	23	gzguz	gzguz	NOUN
ejpam-6042	315	24	+	+	CCONJ
ejpam-6042	315	25	4gug	4gug	NUM
ejpam-6042	315	26	)	)	PUNCT
ejpam-6042	315	27	)	)	PUNCT
ejpam-6042	315	28	·	·	PUNCT
ejpam-6042	316	1	w6	w6	PROPN
ejpam-6042	317	1	+	+	PROPN
ejpam-6042	317	2	o	o	X
ejpam-6042	317	3	(	(	PUNCT
ejpam-6042	317	4	w7	w7	PROPN
ejpam-6042	317	5	)	)	PUNCT
ejpam-6042	317	6	,	,	PUNCT
ejpam-6042	317	7	lteno	lteno	VERB
ejpam-6042	317	8	fitted(u	fitted(u	NOUN
ejpam-6042	317	9	′	′	NOUN
ejpam-6042	317	10	)	)	PUNCT
ejpam-6042	317	11	=	=	PUNCT
ejpam-6042	318	1	u′n+1	u′n+1	ADJ
ejpam-6042	319	1	−	−	PROPN
ejpam-6042	319	2	u′	u′	PROPN
ejpam-6042	319	3	(	(	PUNCT
ejpam-6042	319	4	tn	tn	NOUN
ejpam-6042	319	5	+	+	CCONJ
ejpam-6042	319	6	h	h	NOUN
ejpam-6042	319	7	)	)	PUNCT
ejpam-6042	319	8	=	=	PUNCT
ejpam-6042	319	9	(	(	PUNCT
ejpam-6042	319	10	1	1	NUM
ejpam-6042	319	11	1200	1200	NUM
ejpam-6042	319	12	(	(	PUNCT
ejpam-6042	319	13	√	√	NUM
ejpam-6042	319	14	5−	5−	NUM
ejpam-6042	319	15	5	5	NUM
ejpam-6042	319	16	3	3	NUM
ejpam-6042	319	17	)	)	PUNCT
ejpam-6042	319	18	(	(	PUNCT
ejpam-6042	319	19	guzgz	guzgz	NOUN
ejpam-6042	319	20	−	−	PROPN
ejpam-6042	319	21	1	1	NUM
ejpam-6042	319	22	2	2	NUM
ejpam-6042	319	23	guu	guu	PROPN
ejpam-6042	319	24	)	)	PUNCT
ejpam-6042	319	25	z2	z2	PROPN
ejpam-6042	319	26	+	+	CCONJ
ejpam-6042	319	27	(	(	PUNCT
ejpam-6042	319	28	√	√	NUM
ejpam-6042	319	29	5	5	NUM
ejpam-6042	319	30	325731600	325731600	NUM
ejpam-6042	319	31	(	(	PUNCT
ejpam-6042	319	32	271443gzzgzf	271443gzzgzf	NUM
ejpam-6042	319	33	−	−	NOUN
ejpam-6042	319	34	723848guug	723848guug	NUM
ejpam-6042	319	35	−	−	PROPN
ejpam-6042	319	36	1033931gz	1033931gz	NOUN
ejpam-6042	319	37	2	2	NUM
ejpam-6042	319	38	)	)	PUNCT
ejpam-6042	319	39	−	−	NOUN
ejpam-6042	320	1	452405gzzgzf	452405gzzgzf	NUM
ejpam-6042	320	2	+	+	CCONJ
ejpam-6042	320	3	1925540gz	1925540gz	ADJ
ejpam-6042	320	4	2	2	NUM
ejpam-6042	320	5	)	)	PUNCT
ejpam-6042	320	6	z	z	NOUN
ejpam-6042	321	1	+	+	CCONJ
ejpam-6042	321	2	√	√	NUM
ejpam-6042	321	3	5	5	NUM
ejpam-6042	321	4	651463200	651463200	NUM
ejpam-6042	321	5	(	(	PUNCT
ejpam-6042	321	6	271443gzzgzf	271443gzzgzf	NUM
ejpam-6042	321	7	2	2	NUM
ejpam-6042	321	8	−	−	PROPN
ejpam-6042	321	9	1447696guzgf	1447696guzgf	NUM
ejpam-6042	321	10	−	−	PROPN
ejpam-6042	321	11	2339305gzgzf	2339305gzgzf	NUM
ejpam-6042	322	1	−	−	PRON
ejpam-6042	322	2	271443gz	271443gz	ADJ
ejpam-6042	322	3	2	2	NUM
ejpam-6042	322	4	g	g	NOUN
ejpam-6042	322	5	)	)	PUNCT
ejpam-6042	322	6	−	−	PROPN
ejpam-6042	322	7	1	1	NUM
ejpam-6042	322	8	1440	1440	NUM
ejpam-6042	322	9	(	(	PUNCT
ejpam-6042	322	10	gzzf	gzzf	PROPN
ejpam-6042	322	11	2	2	NUM
ejpam-6042	322	12	−	−	PROPN
ejpam-6042	322	13	860697	860697	NUM
ejpam-6042	322	14	90481	90481	NUM
ejpam-6042	322	15	gzf	gzf	VERB
ejpam-6042	322	16	−	−	PROPN
ejpam-6042	322	17	gzg	gzg	PROPN
ejpam-6042	322	18	)	)	PUNCT
ejpam-6042	322	19	gz	gz	PROPN
ejpam-6042	322	20	)	)	PUNCT
ejpam-6042	322	21	·	·	PUNCT
ejpam-6042	323	1	w6	w6	PROPN
ejpam-6042	324	1	+	+	PROPN
ejpam-6042	324	2	o	o	X
ejpam-6042	324	3	(	(	PUNCT
ejpam-6042	324	4	w7	w7	PROPN
ejpam-6042	324	5	)	)	PUNCT
ejpam-6042	324	6	.	.	PUNCT
ejpam-6042	325	1	(	(	PUNCT
ejpam-6042	325	2	42	42	X
ejpam-6042	325	3	)	)	PUNCT
ejpam-6042	325	4	ltes	lte	NOUN
ejpam-6042	325	5	for	for	ADP
ejpam-6042	325	6	u	u	NOUN
ejpam-6042	325	7	and	and	CCONJ
ejpam-6042	325	8	u′	u′	PROPN
ejpam-6042	325	9	of	of	ADP
ejpam-6042	325	10	the	the	DET
ejpam-6042	325	11	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	325	12	)	)	PUNCT
ejpam-6042	325	13	method	method	NOUN
ejpam-6042	325	14	up	up	ADP
ejpam-6042	325	15	to	to	ADP
ejpam-6042	325	16	h5	h5	PROPN
ejpam-6042	325	17	vanish	vanish	VERB
ejpam-6042	325	18	,	,	PUNCT
ejpam-6042	325	19	so	so	SCONJ
ejpam-6042	325	20	the	the	DET
ejpam-6042	325	21	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	325	22	)	)	PUNCT
ejpam-6042	325	23	method	method	NOUN
ejpam-6042	325	24	is	be	AUX
ejpam-6042	325	25	algebraic	algebraic	ADJ
ejpam-6042	325	26	of	of	ADP
ejpam-6042	325	27	order	order	NOUN
ejpam-6042	325	28	5	5	NUM
ejpam-6042	325	29	.	.	NOUN
ejpam-6042	325	30	7	7	NUM
ejpam-6042	325	31	.	.	NOUN
ejpam-6042	325	32	numerical	numerical	ADJ
ejpam-6042	325	33	experiments	experiment	NOUN
ejpam-6042	325	34	and	and	CCONJ
ejpam-6042	325	35	results	result	NOUN
ejpam-6042	325	36	we	we	PRON
ejpam-6042	325	37	solve	solve	VERB
ejpam-6042	325	38	problems	problem	NOUN
ejpam-6042	325	39	(	(	PUNCT
ejpam-6042	325	40	1	1	NUM
ejpam-6042	325	41	)	)	PUNCT
ejpam-6042	325	42	with	with	ADP
ejpam-6042	325	43	the	the	DET
ejpam-6042	325	44	theoretical	theoretical	ADJ
ejpam-6042	325	45	solution	solution	NOUN
ejpam-6042	325	46	generated	generate	VERB
ejpam-6042	325	47	by	by	ADP
ejpam-6042	325	48	the	the	DET
ejpam-6042	325	49	following	following	ADJ
ejpam-6042	325	50	linear	linear	ADJ
ejpam-6042	325	51	space	space	NOUN
ejpam-6042	325	52	{	{	PUNCT
ejpam-6042	325	53	1	1	NUM
ejpam-6042	325	54	,	,	PUNCT
ejpam-6042	325	55	t	t	PROPN
ejpam-6042	325	56	,	,	PUNCT
ejpam-6042	325	57	t2	t2	NOUN
ejpam-6042	325	58	,	,	PUNCT
ejpam-6042	325	59	cos(λt	cos(λt	NOUN
ejpam-6042	325	60	)	)	PUNCT
ejpam-6042	325	61	,	,	PUNCT
ejpam-6042	325	62	sin(λt	sin(λt	NOUN
ejpam-6042	325	63	)	)	PUNCT
ejpam-6042	325	64	}	}	PUNCT
ejpam-6042	325	65	(	(	PUNCT
ejpam-6042	325	66	43	43	NUM
ejpam-6042	325	67	)	)	PUNCT
ejpam-6042	325	68	we	we	PRON
ejpam-6042	325	69	use	use	VERB
ejpam-6042	325	70	several	several	ADJ
ejpam-6042	325	71	typical	typical	ADJ
ejpam-6042	325	72	second	second	ADJ
ejpam-6042	325	73	-	-	PUNCT
ejpam-6042	325	74	order	order	NOUN
ejpam-6042	325	75	odes	ode	NOUN
ejpam-6042	325	76	with	with	ADP
ejpam-6042	325	77	periodic	periodic	ADJ
ejpam-6042	325	78	solutions	solution	NOUN
ejpam-6042	325	79	(	(	PUNCT
ejpam-6042	325	80	43	43	NUM
ejpam-6042	325	81	)	)	PUNCT
ejpam-6042	325	82	to	to	PART
ejpam-6042	325	83	demonstrate	demonstrate	VERB
ejpam-6042	325	84	the	the	DET
ejpam-6042	325	85	effectiveness	effectiveness	NOUN
ejpam-6042	325	86	and	and	CCONJ
ejpam-6042	325	87	accuracy	accuracy	NOUN
ejpam-6042	325	88	of	of	ADP
ejpam-6042	325	89	the	the	DET
ejpam-6042	325	90	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	325	91	)	)	PUNCT
ejpam-6042	325	92	method	method	NOUN
ejpam-6042	325	93	.	.	PUNCT
ejpam-6042	326	1	we	we	PRON
ejpam-6042	326	2	conduct	conduct	VERB
ejpam-6042	326	3	the	the	DET
ejpam-6042	326	4	experiments	experiment	NOUN
ejpam-6042	326	5	testing	test	VERB
ejpam-6042	326	6	and	and	CCONJ
ejpam-6042	326	7	get	get	VERB
ejpam-6042	326	8	the	the	DET
ejpam-6042	326	9	numerical	numerical	ADJ
ejpam-6042	326	10	results	result	NOUN
ejpam-6042	326	11	by	by	ADP
ejpam-6042	326	12	plotting	plot	VERB
ejpam-6042	326	13	the	the	DET
ejpam-6042	326	14	tables	table	NOUN
ejpam-6042	326	15	and	and	CCONJ
ejpam-6042	326	16	figures	figure	NOUN
ejpam-6042	326	17	comparing	compare	VERB
ejpam-6042	326	18	other	other	ADJ
ejpam-6042	326	19	selected	select	VERB
ejpam-6042	326	20	existing	exist	VERB
ejpam-6042	326	21	methods	method	NOUN
ejpam-6042	326	22	in	in	ADP
ejpam-6042	326	23	terms	term	NOUN
ejpam-6042	326	24	of	of	ADP
ejpam-6042	326	25	the	the	DET
ejpam-6042	326	26	maximum	maximum	PROPN
ejpam-6042	326	27	global	global	ADJ
ejpam-6042	326	28	truncation	truncation	NOUN
ejpam-6042	326	29	error	error	NOUN
ejpam-6042	326	30	,	,	PUNCT
ejpam-6042	326	31	the	the	DET
ejpam-6042	326	32	number	number	NOUN
ejpam-6042	326	33	of	of	ADP
ejpam-6042	326	34	function	function	NOUN
ejpam-6042	326	35	evaluations	evaluation	NOUN
ejpam-6042	326	36	and	and	CCONJ
ejpam-6042	326	37	cpu	cpu	ADJ
ejpam-6042	326	38	time	time	NOUN
ejpam-6042	326	39	in	in	ADP
ejpam-6042	326	40	seconds	second	NOUN
ejpam-6042	326	41	.	.	PUNCT
ejpam-6042	327	1	the	the	DET
ejpam-6042	327	2	numerical	numerical	ADJ
ejpam-6042	327	3	methods	method	NOUN
ejpam-6042	327	4	used	use	VERB
ejpam-6042	327	5	for	for	ADP
ejpam-6042	327	6	comparison	comparison	NOUN
ejpam-6042	327	7	are	be	AUX
ejpam-6042	327	8	•	•	NOUN
ejpam-6042	327	9	tftdrkn3s5	tftdrkn3s5	ADP
ejpam-6042	327	10	:	:	PUNCT
ejpam-6042	327	11	existing	exist	VERB
ejpam-6042	327	12	trigonometrically	trigonometrically	ADV
ejpam-6042	327	13	-	-	PUNCT
ejpam-6042	327	14	fitted	fit	VERB
ejpam-6042	327	15	two	two	NUM
ejpam-6042	327	16	-	-	PUNCT
ejpam-6042	327	17	derivative	derivative	NOUN
ejpam-6042	327	18	runge	runge	NOUN
ejpam-6042	327	19	-	-	PUNCT
ejpam-6042	327	20	kutta	kutta	NOUN
ejpam-6042	327	21	-	-	PUNCT
ejpam-6042	327	22	nyström	nyström	NOUN
ejpam-6042	327	23	method	method	NOUN
ejpam-6042	327	24	of	of	ADP
ejpam-6042	327	25	three	three	NUM
ejpam-6042	327	26	stage	stage	NOUN
ejpam-6042	327	27	fifth	fifth	ADJ
ejpam-6042	327	28	-	-	PUNCT
ejpam-6042	327	29	order	order	NOUN
ejpam-6042	327	30	[	[	X
ejpam-6042	327	31	17	17	NUM
ejpam-6042	327	32	]	]	PUNCT
ejpam-6042	327	33	.	.	PUNCT
ejpam-6042	328	1	•	•	NUM
ejpam-6042	328	2	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	328	3	):	):	PUNCT
ejpam-6042	328	4	existing	exist	VERB
ejpam-6042	328	5	efficient	efficient	ADJ
ejpam-6042	328	6	two	two	NUM
ejpam-6042	328	7	-	-	PUNCT
ejpam-6042	328	8	derivative	derivative	NOUN
ejpam-6042	328	9	runge	runge	NOUN
ejpam-6042	328	10	-	-	PUNCT
ejpam-6042	328	11	kutta	kutta	NOUN
ejpam-6042	328	12	-	-	PUNCT
ejpam-6042	328	13	nyström	nyström	NOUN
ejpam-6042	328	14	method	method	NOUN
ejpam-6042	328	15	of	of	ADP
ejpam-6042	328	16	three	three	NUM
ejpam-6042	328	17	stage	stage	NOUN
ejpam-6042	328	18	fifth	fifth	ADJ
ejpam-6042	328	19	-	-	PUNCT
ejpam-6042	328	20	order	order	NOUN
ejpam-6042	329	1	[	[	X
ejpam-6042	329	2	18	18	NUM
ejpam-6042	329	3	]	]	PUNCT
ejpam-6042	329	4	.	.	PUNCT
ejpam-6042	330	1	•	•	NUM
ejpam-6042	330	2	pfafrkn6	pfafrkn6	NOUN
ejpam-6042	330	3	-	-	PUNCT
ejpam-6042	330	4	6er	6er	NOUN
ejpam-6042	330	5	:	:	PUNCT
ejpam-6042	330	6	existing	exist	VERB
ejpam-6042	330	7	optimized	optimize	VERB
ejpam-6042	330	8	sixth	sixth	ADJ
ejpam-6042	330	9	-	-	PUNCT
ejpam-6042	330	10	order	order	NOUN
ejpam-6042	330	11	explicit	explicit	ADJ
ejpam-6042	330	12	runge	runge	NOUN
ejpam-6042	330	13	-	-	PUNCT
ejpam-6042	330	14	kutta	kutta	NOUN
ejpam-6042	330	15	-	-	PUNCT
ejpam-6042	330	16	nyström	nyström	NOUN
ejpam-6042	330	17	method	method	NOUN
ejpam-6042	330	18	to	to	PART
ejpam-6042	330	19	solve	solve	VERB
ejpam-6042	330	20	oscillating	oscillate	VERB
ejpam-6042	330	21	systems	system	NOUN
ejpam-6042	330	22	[	[	X
ejpam-6042	330	23	24	24	NUM
ejpam-6042	330	24	]	]	PUNCT
ejpam-6042	330	25	.	.	PUNCT
ejpam-6042	331	1	•	•	NUM
ejpam-6042	331	2	tfirkn5	tfirkn5	NOUN
ejpam-6042	331	3	:	:	PUNCT
ejpam-6042	331	4	existing	exist	VERB
ejpam-6042	331	5	fifth	fifth	ADJ
ejpam-6042	331	6	-	-	PUNCT
ejpam-6042	331	7	order	order	NOUN
ejpam-6042	331	8	improved	improve	VERB
ejpam-6042	331	9	runge	runge	NOUN
ejpam-6042	331	10	-	-	PUNCT
ejpam-6042	331	11	kutta	kutta	NOUN
ejpam-6042	331	12	-	-	PUNCT
ejpam-6042	331	13	nyström	nyström	PRON
ejpam-6042	331	14	method	method	NOUN
ejpam-6042	331	15	using	use	VERB
ejpam-6042	331	16	trigonometrically	trigonometrically	ADV
ejpam-6042	331	17	[	[	X
ejpam-6042	331	18	25	25	NUM
ejpam-6042	331	19	]	]	PUNCT
ejpam-6042	331	20	.	.	PUNCT
ejpam-6042	332	1	z.	z.	PROPN
ejpam-6042	332	2	sun	sun	PROPN
ejpam-6042	332	3	et	et	PROPN
ejpam-6042	332	4	al	al	PROPN
ejpam-6042	332	5	.	.	PUNCT
ejpam-6042	332	6	/	/	SYM
ejpam-6042	332	7	eur	eur	PROPN
ejpam-6042	332	8	.	.	PUNCT
ejpam-6042	333	1	j.	j.	PROPN
ejpam-6042	333	2	pure	pure	PROPN
ejpam-6042	333	3	appl	appl	PROPN
ejpam-6042	333	4	.	.	PROPN
ejpam-6042	333	5	math	math	PROPN
ejpam-6042	333	6	,	,	PUNCT
ejpam-6042	333	7	18	18	NUM
ejpam-6042	333	8	(	(	PUNCT
ejpam-6042	333	9	4	4	NUM
ejpam-6042	333	10	)	)	PUNCT
ejpam-6042	333	11	(	(	PUNCT
ejpam-6042	333	12	2025	2025	NUM
ejpam-6042	333	13	)	)	PUNCT
ejpam-6042	333	14	,	,	PUNCT
ejpam-6042	333	15	6042	6042	NUM
ejpam-6042	333	16	19	19	NUM
ejpam-6042	333	17	of	of	ADP
ejpam-6042	333	18	45	45	NUM
ejpam-6042	333	19	several	several	ADJ
ejpam-6042	333	20	notations	notation	NOUN
ejpam-6042	333	21	used	use	VERB
ejpam-6042	333	22	are	be	AUX
ejpam-6042	333	23	•	•	PRON
ejpam-6042	333	24	h	h	NOUN
ejpam-6042	333	25	:	:	PUNCT
ejpam-6042	333	26	step	step	NOUN
ejpam-6042	333	27	size	size	NOUN
ejpam-6042	333	28	•	•	NOUN
ejpam-6042	333	29	b	b	NOUN
ejpam-6042	333	30	:	:	PUNCT
ejpam-6042	333	31	endpoint	endpoint	NOUN
ejpam-6042	333	32	of	of	ADP
ejpam-6042	333	33	value	value	NOUN
ejpam-6042	333	34	t	t	NOUN
ejpam-6042	333	35	•	•	NUM
ejpam-6042	333	36	time(s	time(s	NOUN
ejpam-6042	333	37	):	):	PUNCT
ejpam-6042	333	38	cpu	cpu	NOUN
ejpam-6042	333	39	time	time	NOUN
ejpam-6042	333	40	in	in	ADP
ejpam-6042	333	41	seconds	second	NOUN
ejpam-6042	333	42	•	•	X
ejpam-6042	333	43	nfe	nfe	NOUN
ejpam-6042	333	44	:	:	PUNCT
ejpam-6042	333	45	number	number	NOUN
ejpam-6042	333	46	of	of	ADP
ejpam-6042	333	47	function	function	NOUN
ejpam-6042	333	48	evaluation	evaluation	NOUN
ejpam-6042	333	49	•	•	NOUN
ejpam-6042	333	50	mgte	mgte	NOUN
ejpam-6042	333	51	:	:	PUNCT
ejpam-6042	333	52	maximum	maximum	ADJ
ejpam-6042	333	53	global	global	ADJ
ejpam-6042	333	54	truncation	truncation	NOUN
ejpam-6042	333	55	error	error	NOUN
ejpam-6042	333	56	from	from	ADP
ejpam-6042	333	57	numerical	numerical	ADJ
ejpam-6042	333	58	experiments	experiment	NOUN
ejpam-6042	333	59	•	•	ADP
ejpam-6042	333	60	4.084364(−16	4.084364(−16	PROPN
ejpam-6042	333	61	):	):	PUNCT
ejpam-6042	333	62	4.084364×	4.084364×	X
ejpam-6042	333	63	10−16	10−16	NOUN
ejpam-6042	333	64	the	the	DET
ejpam-6042	333	65	maximum	maximum	PROPN
ejpam-6042	333	66	global	global	ADJ
ejpam-6042	333	67	truncation	truncation	NOUN
ejpam-6042	333	68	error	error	NOUN
ejpam-6042	333	69	(	(	PUNCT
ejpam-6042	333	70	mgte	mgte	NOUN
ejpam-6042	333	71	)	)	PUNCT
ejpam-6042	333	72	is	be	AUX
ejpam-6042	333	73	defined	define	VERB
ejpam-6042	333	74	by	by	ADP
ejpam-6042	333	75	mgte	mgte	NOUN
ejpam-6042	333	76	=	=	SYM
ejpam-6042	333	77	max	max	PROPN
ejpam-6042	334	1	|un	|un	ADP
ejpam-6042	334	2	−	−	PROPN
ejpam-6042	334	3	u	u	PROPN
ejpam-6042	334	4	(	(	PUNCT
ejpam-6042	334	5	tn	tn	NOUN
ejpam-6042	334	6	)	)	PUNCT
ejpam-6042	334	7	|	|	NOUN
ejpam-6042	334	8	,	,	PUNCT
ejpam-6042	334	9	where	where	SCONJ
ejpam-6042	334	10	un	un	PROPN
ejpam-6042	334	11	is	be	AUX
ejpam-6042	334	12	numerical	numerical	ADJ
ejpam-6042	334	13	solution	solution	NOUN
ejpam-6042	334	14	and	and	CCONJ
ejpam-6042	334	15	u	u	PROPN
ejpam-6042	334	16	(	(	PUNCT
ejpam-6042	334	17	tn	tn	NOUN
ejpam-6042	334	18	)	)	PUNCT
ejpam-6042	334	19	is	be	AUX
ejpam-6042	334	20	theoretical	theoretical	ADJ
ejpam-6042	334	21	solution	solution	NOUN
ejpam-6042	334	22	at	at	ADP
ejpam-6042	334	23	endpoint	endpoint	NOUN
ejpam-6042	334	24	,	,	PUNCT
ejpam-6042	334	25	tn	tn	PROPN
ejpam-6042	334	26	=	=	SYM
ejpam-6042	334	27	b.	b.	PROPN
ejpam-6042	334	28	experiment	experiment	NOUN
ejpam-6042	334	29	1	1	NUM
ejpam-6042	334	30	:	:	PUNCT
ejpam-6042	334	31	consider	consider	VERB
ejpam-6042	334	32	the	the	DET
ejpam-6042	334	33	homogeneous	homogeneous	ADJ
ejpam-6042	334	34	problem	problem	NOUN
ejpam-6042	335	1	[	[	X
ejpam-6042	335	2	26]u	26]u	NUM
ejpam-6042	335	3	′′	′′	PROPN
ejpam-6042	335	4	(	(	PUNCT
ejpam-6042	335	5	t	t	PROPN
ejpam-6042	335	6	)	)	PUNCT
ejpam-6042	335	7	=	=	SYM
ejpam-6042	335	8	−64u	−64u	X
ejpam-6042	335	9	(	(	PUNCT
ejpam-6042	335	10	t	t	PROPN
ejpam-6042	335	11	)	)	PUNCT
ejpam-6042	335	12	,	,	PUNCT
ejpam-6042	335	13	t	t	PROPN
ejpam-6042	335	14	∈	∈	PROPN
ejpam-6042	336	1	[	[	X
ejpam-6042	336	2	0	0	NUM
ejpam-6042	336	3	,	,	PUNCT
ejpam-6042	336	4	100	100	NUM
ejpam-6042	336	5	]	]	PUNCT
ejpam-6042	336	6	,	,	PUNCT
ejpam-6042	336	7	u	u	NOUN
ejpam-6042	336	8	(	(	PUNCT
ejpam-6042	336	9	0	0	NUM
ejpam-6042	336	10	)	)	PUNCT
ejpam-6042	336	11	=	=	SYM
ejpam-6042	336	12	−1	−1	NOUN
ejpam-6042	336	13	4	4	NUM
ejpam-6042	336	14	,	,	PUNCT
ejpam-6042	336	15	u′	u′	PROPN
ejpam-6042	336	16	(	(	PUNCT
ejpam-6042	336	17	0	0	NUM
ejpam-6042	336	18	)	)	PUNCT
ejpam-6042	336	19	=	=	SYM
ejpam-6042	336	20	−1	−1	NOUN
ejpam-6042	336	21	2	2	NUM
ejpam-6042	336	22	,	,	PUNCT
ejpam-6042	336	23	with	with	ADP
ejpam-6042	336	24	the	the	DET
ejpam-6042	336	25	theoretical	theoretical	ADJ
ejpam-6042	336	26	solution	solution	NOUN
ejpam-6042	336	27	:	:	PUNCT
ejpam-6042	336	28	u	u	NOUN
ejpam-6042	336	29	(	(	PUNCT
ejpam-6042	336	30	t	t	PROPN
ejpam-6042	336	31	)	)	PUNCT
ejpam-6042	336	32	=	=	PUNCT
ejpam-6042	336	33	−	−	PROPN
ejpam-6042	336	34	1	1	NUM
ejpam-6042	336	35	16	16	NUM
ejpam-6042	336	36	sin	sin	NOUN
ejpam-6042	336	37	(	(	PUNCT
ejpam-6042	336	38	8	8	NUM
ejpam-6042	336	39	t	t	NOUN
ejpam-6042	336	40	)	)	PUNCT
ejpam-6042	336	41	+	+	CCONJ
ejpam-6042	336	42	1	1	NUM
ejpam-6042	336	43	4	4	NUM
ejpam-6042	336	44	cos	co	NOUN
ejpam-6042	336	45	(	(	PUNCT
ejpam-6042	336	46	8	8	NUM
ejpam-6042	336	47	t	t	NOUN
ejpam-6042	336	48	)	)	PUNCT
ejpam-6042	336	49	.	.	PUNCT
ejpam-6042	337	1	natural	natural	ADJ
ejpam-6042	337	2	frequency	frequency	NOUN
ejpam-6042	337	3	,	,	PUNCT
ejpam-6042	337	4	λ	λ	X
ejpam-6042	337	5	=	=	NOUN
ejpam-6042	337	6	8	8	NUM
ejpam-6042	337	7	.	.	PUNCT
ejpam-6042	337	8	experiment	experiment	NOUN
ejpam-6042	337	9	2	2	NUM
ejpam-6042	337	10	:	:	PUNCT
ejpam-6042	337	11	consider	consider	VERB
ejpam-6042	337	12	the	the	DET
ejpam-6042	337	13	linear	linear	ADJ
ejpam-6042	337	14	second	second	ADJ
ejpam-6042	337	15	-	-	PUNCT
ejpam-6042	337	16	order	order	NOUN
ejpam-6042	337	17	problem	problem	NOUN
ejpam-6042	337	18	[	[	X
ejpam-6042	337	19	27	27	NUM
ejpam-6042	337	20	]	]	X
ejpam-6042	337	21	{	{	PUNCT
ejpam-6042	337	22	u′′	u′′	PROPN
ejpam-6042	337	23	(	(	PUNCT
ejpam-6042	337	24	t	t	PROPN
ejpam-6042	337	25	)	)	PUNCT
ejpam-6042	338	1	=	=	SYM
ejpam-6042	338	2	−u	−u	PROPN
ejpam-6042	338	3	(	(	PUNCT
ejpam-6042	338	4	t	t	PROPN
ejpam-6042	338	5	)	)	PUNCT
ejpam-6042	338	6	+	+	NUM
ejpam-6042	338	7	2	2	NUM
ejpam-6042	338	8	,	,	PUNCT
ejpam-6042	338	9	t	t	PROPN
ejpam-6042	338	10	∈	∈	PROPN
ejpam-6042	339	1	[	[	X
ejpam-6042	339	2	0	0	NUM
ejpam-6042	339	3	,	,	PUNCT
ejpam-6042	339	4	100	100	NUM
ejpam-6042	339	5	]	]	PUNCT
ejpam-6042	339	6	,	,	PUNCT
ejpam-6042	339	7	u	u	NOUN
ejpam-6042	339	8	(	(	PUNCT
ejpam-6042	339	9	0	0	NUM
ejpam-6042	339	10	)	)	PUNCT
ejpam-6042	339	11	=	=	SYM
ejpam-6042	339	12	0	0	NUM
ejpam-6042	339	13	,	,	PUNCT
ejpam-6042	339	14	u′	u′	PROPN
ejpam-6042	339	15	(	(	PUNCT
ejpam-6042	339	16	0	0	NUM
ejpam-6042	339	17	)	)	PUNCT
ejpam-6042	339	18	=	=	SYM
ejpam-6042	339	19	1	1	NUM
ejpam-6042	339	20	,	,	PUNCT
ejpam-6042	339	21	with	with	ADP
ejpam-6042	339	22	the	the	DET
ejpam-6042	339	23	theoretical	theoretical	ADJ
ejpam-6042	339	24	solution	solution	NOUN
ejpam-6042	339	25	:	:	PUNCT
ejpam-6042	339	26	u	u	NOUN
ejpam-6042	339	27	(	(	PUNCT
ejpam-6042	339	28	t	t	PROPN
ejpam-6042	339	29	)	)	PUNCT
ejpam-6042	339	30	=	=	SYM
ejpam-6042	339	31	2	2	NUM
ejpam-6042	339	32	(	(	PUNCT
ejpam-6042	339	33	1−	1−	NUM
ejpam-6042	339	34	cos	cos	X
ejpam-6042	339	35	(	(	PUNCT
ejpam-6042	339	36	t	t	PROPN
ejpam-6042	339	37	)	)	PUNCT
ejpam-6042	339	38	)	)	PUNCT
ejpam-6042	340	1	+	+	CCONJ
ejpam-6042	340	2	sin	sin	NOUN
ejpam-6042	340	3	(	(	PUNCT
ejpam-6042	340	4	t	t	NOUN
ejpam-6042	340	5	)	)	PUNCT
ejpam-6042	340	6	.	.	PUNCT
ejpam-6042	341	1	fitted	fit	VERB
ejpam-6042	341	2	frequency	frequency	NOUN
ejpam-6042	341	3	,	,	PUNCT
ejpam-6042	341	4	λ	λ	X
ejpam-6042	341	5	=	=	NOUN
ejpam-6042	341	6	1	1	X
ejpam-6042	341	7	.	.	PUNCT
ejpam-6042	341	8	experiment	experiment	NOUN
ejpam-6042	341	9	3	3	NUM
ejpam-6042	341	10	:	:	PUNCT
ejpam-6042	341	11	consider	consider	VERB
ejpam-6042	341	12	one	one	NUM
ejpam-6042	341	13	typical	typical	ADJ
ejpam-6042	341	14	stiff	stiff	ADJ
ejpam-6042	341	15	problem	problem	NOUN
ejpam-6042	341	16	[	[	X
ejpam-6042	341	17	28]u	28]u	X
ejpam-6042	341	18	′′	′′	PROPN
ejpam-6042	341	19	(	(	PUNCT
ejpam-6042	341	20	t	t	PROPN
ejpam-6042	341	21	)	)	PUNCT
ejpam-6042	341	22	=	=	PRON
ejpam-6042	341	23	(	(	PUNCT
ejpam-6042	341	24	−1	−1	NOUN
ejpam-6042	341	25	2	2	NUM
ejpam-6042	341	26	(	(	PUNCT
ejpam-6042	341	27	β2	β2	VERB
ejpam-6042	341	28	+	+	CCONJ
ejpam-6042	341	29	1	1	NUM
ejpam-6042	341	30	)	)	PUNCT
ejpam-6042	341	31	−1	−1	NOUN
ejpam-6042	341	32	2	2	NUM
ejpam-6042	341	33	(	(	PUNCT
ejpam-6042	341	34	β2	β2	VERB
ejpam-6042	341	35	−	−	PROPN
ejpam-6042	341	36	1	1	NUM
ejpam-6042	341	37	)	)	PUNCT
ejpam-6042	341	38	−1	−1	NOUN
ejpam-6042	341	39	2	2	NUM
ejpam-6042	341	40	(	(	PUNCT
ejpam-6042	341	41	β2	β2	VERB
ejpam-6042	341	42	−	−	PROPN
ejpam-6042	341	43	1	1	NUM
ejpam-6042	341	44	)	)	PUNCT
ejpam-6042	341	45	−1	−1	NOUN
ejpam-6042	341	46	2	2	NUM
ejpam-6042	341	47	(	(	PUNCT
ejpam-6042	341	48	β2	β2	VERB
ejpam-6042	341	49	+	+	NOUN
ejpam-6042	341	50	1	1	NUM
ejpam-6042	341	51	)	)	PUNCT
ejpam-6042	341	52	)	)	PUNCT
ejpam-6042	341	53	u	u	NOUN
ejpam-6042	341	54	(	(	PUNCT
ejpam-6042	341	55	t	t	PROPN
ejpam-6042	341	56	)	)	PUNCT
ejpam-6042	341	57	,	,	PUNCT
ejpam-6042	341	58	t	t	PROPN
ejpam-6042	341	59	∈	∈	PROPN
ejpam-6042	342	1	[	[	X
ejpam-6042	342	2	0	0	NUM
ejpam-6042	342	3	,	,	PUNCT
ejpam-6042	342	4	100	100	NUM
ejpam-6042	342	5	]	]	PUNCT
ejpam-6042	342	6	,	,	PUNCT
ejpam-6042	342	7	u	u	NOUN
ejpam-6042	342	8	(	(	PUNCT
ejpam-6042	342	9	0	0	NUM
ejpam-6042	342	10	)	)	PUNCT
ejpam-6042	342	11	=	=	SYM
ejpam-6042	342	12	(	(	PUNCT
ejpam-6042	342	13	1,−1)t	1,−1)t	NUM
ejpam-6042	342	14	,	,	PUNCT
ejpam-6042	342	15	u′	u′	PROPN
ejpam-6042	342	16	(	(	PUNCT
ejpam-6042	342	17	0	0	NUM
ejpam-6042	342	18	)	)	PUNCT
ejpam-6042	342	19	=	=	SYM
ejpam-6042	342	20	(	(	PUNCT
ejpam-6042	342	21	1,−1)t	1,−1)t	NUM
ejpam-6042	342	22	,	,	PUNCT
ejpam-6042	342	23	z.	z.	PROPN
ejpam-6042	342	24	sun	sun	PROPN
ejpam-6042	342	25	et	et	PROPN
ejpam-6042	342	26	al	al	PROPN
ejpam-6042	342	27	.	.	PUNCT
ejpam-6042	342	28	/	/	SYM
ejpam-6042	342	29	eur	eur	PROPN
ejpam-6042	342	30	.	.	PUNCT
ejpam-6042	343	1	j.	j.	PROPN
ejpam-6042	343	2	pure	pure	PROPN
ejpam-6042	343	3	appl	appl	PROPN
ejpam-6042	343	4	.	.	PROPN
ejpam-6042	343	5	math	math	PROPN
ejpam-6042	343	6	,	,	PUNCT
ejpam-6042	343	7	18	18	NUM
ejpam-6042	343	8	(	(	PUNCT
ejpam-6042	343	9	4	4	NUM
ejpam-6042	343	10	)	)	PUNCT
ejpam-6042	343	11	(	(	PUNCT
ejpam-6042	343	12	2025	2025	NUM
ejpam-6042	343	13	)	)	PUNCT
ejpam-6042	343	14	,	,	PUNCT
ejpam-6042	343	15	6042	6042	NUM
ejpam-6042	343	16	20	20	NUM
ejpam-6042	343	17	of	of	ADP
ejpam-6042	343	18	45	45	NUM
ejpam-6042	343	19	figure	figure	NOUN
ejpam-6042	343	20	15	15	NUM
ejpam-6042	343	21	:	:	PUNCT
ejpam-6042	343	22	experiment	experiment	NOUN
ejpam-6042	343	23	4	4	NUM
ejpam-6042	343	24	with	with	ADP
ejpam-6042	343	25	the	the	DET
ejpam-6042	343	26	theoretical	theoretical	ADJ
ejpam-6042	343	27	solution	solution	NOUN
ejpam-6042	343	28	:	:	PUNCT
ejpam-6042	343	29	u	u	NOUN
ejpam-6042	343	30	(	(	PUNCT
ejpam-6042	343	31	t	t	PROPN
ejpam-6042	343	32	)	)	PUNCT
ejpam-6042	343	33	=	=	SYM
ejpam-6042	344	1	(	(	PUNCT
ejpam-6042	344	2	cos	cos	X
ejpam-6042	344	3	(	(	PUNCT
ejpam-6042	344	4	t	t	PROPN
ejpam-6042	344	5	)	)	PUNCT
ejpam-6042	344	6	+	+	CCONJ
ejpam-6042	344	7	sin	sin	NOUN
ejpam-6042	344	8	(	(	PUNCT
ejpam-6042	344	9	t	t	NOUN
ejpam-6042	344	10	)	)	PUNCT
ejpam-6042	344	11	,	,	PUNCT
ejpam-6042	344	12	−	−	PROPN
ejpam-6042	344	13	(	(	PUNCT
ejpam-6042	344	14	cos	cos	X
ejpam-6042	344	15	(	(	PUNCT
ejpam-6042	344	16	t	t	PROPN
ejpam-6042	344	17	)	)	PUNCT
ejpam-6042	345	1	+	+	CCONJ
ejpam-6042	345	2	sin	sin	NOUN
ejpam-6042	345	3	(	(	PUNCT
ejpam-6042	345	4	t)))t	t)))t	NOUN
ejpam-6042	345	5	.	.	PUNCT
ejpam-6042	346	1	fitted	fit	VERB
ejpam-6042	346	2	frequency	frequency	NOUN
ejpam-6042	346	3	,	,	PUNCT
ejpam-6042	346	4	λ	λ	X
ejpam-6042	346	5	=	=	NOUN
ejpam-6042	346	6	1	1	X
ejpam-6042	346	7	.	.	X
ejpam-6042	347	1	we	we	PRON
ejpam-6042	347	2	select	select	VERB
ejpam-6042	347	3	β	β	X
ejpam-6042	347	4	=	=	SYM
ejpam-6042	347	5	2	2	NUM
ejpam-6042	347	6	,	,	PUNCT
ejpam-6042	347	7	102	102	NUM
ejpam-6042	347	8	and	and	CCONJ
ejpam-6042	347	9	104	104	NUM
ejpam-6042	347	10	to	to	PART
ejpam-6042	347	11	test	test	VERB
ejpam-6042	347	12	this	this	DET
ejpam-6042	347	13	problem	problem	NOUN
ejpam-6042	347	14	,	,	PUNCT
ejpam-6042	347	15	respectively	respectively	ADV
ejpam-6042	347	16	.	.	PUNCT
ejpam-6042	348	1	experiment	experiment	NOUN
ejpam-6042	348	2	4	4	NUM
ejpam-6042	348	3	(	(	PUNCT
ejpam-6042	348	4	fig	fig	NOUN
ejpam-6042	348	5	.	.	PUNCT
ejpam-6042	348	6	15	15	NUM
ejpam-6042	348	7	):	):	PUNCT
ejpam-6042	348	8	consider	consider	VERB
ejpam-6042	348	9	one	one	NUM
ejpam-6042	348	10	undamped	undampe	VERB
ejpam-6042	348	11	mass	mass	ADJ
ejpam-6042	348	12	-	-	PUNCT
ejpam-6042	348	13	spring	spring	NOUN
ejpam-6042	348	14	system	system	NOUN
ejpam-6042	348	15	[	[	X
ejpam-6042	348	16	29]	29]	X
ejpam-6042	348	17	(	(	PUNCT
ejpam-6042	348	18	m1	m1	PROPN
ejpam-6042	348	19	0	0	NUM
ejpam-6042	348	20	0	0	NUM
ejpam-6042	348	21	m2	m2	PROPN
ejpam-6042	348	22	)	)	PUNCT
ejpam-6042	348	23	u′′	u′′	PROPN
ejpam-6042	348	24	(	(	PUNCT
ejpam-6042	348	25	t	t	PROPN
ejpam-6042	348	26	)	)	PUNCT
ejpam-6042	348	27	=	=	SYM
ejpam-6042	348	28	(	(	PUNCT
ejpam-6042	348	29	−	−	PROPN
ejpam-6042	348	30	(	(	PUNCT
ejpam-6042	348	31	k1	k1	NOUN
ejpam-6042	348	32	+	+	CCONJ
ejpam-6042	348	33	k2	k2	ADJ
ejpam-6042	348	34	)	)	PUNCT
ejpam-6042	348	35	k2	k2	PROPN
ejpam-6042	348	36	k2	k2	PROPN
ejpam-6042	348	37	−k2	−k2	PROPN
ejpam-6042	348	38	)	)	PUNCT
ejpam-6042	348	39	u	u	PROPN
ejpam-6042	348	40	(	(	PUNCT
ejpam-6042	348	41	t	t	PROPN
ejpam-6042	348	42	)	)	PUNCT
ejpam-6042	348	43	,	,	PUNCT
ejpam-6042	348	44	t	t	PROPN
ejpam-6042	348	45	∈	∈	PROPN
ejpam-6042	349	1	[	[	X
ejpam-6042	349	2	0	0	NUM
ejpam-6042	349	3	,	,	PUNCT
ejpam-6042	349	4	100	100	NUM
ejpam-6042	349	5	]	]	PUNCT
ejpam-6042	349	6	,	,	PUNCT
ejpam-6042	349	7	u	u	NOUN
ejpam-6042	349	8	(	(	PUNCT
ejpam-6042	349	9	0	0	NUM
ejpam-6042	349	10	)	)	PUNCT
ejpam-6042	349	11	=	=	SYM
ejpam-6042	349	12	(	(	PUNCT
ejpam-6042	349	13	0	0	NUM
ejpam-6042	349	14	,	,	PUNCT
ejpam-6042	349	15	0)t	0)t	INTJ
ejpam-6042	349	16	,	,	PUNCT
ejpam-6042	349	17	u′	u′	PROPN
ejpam-6042	349	18	(	(	PUNCT
ejpam-6042	349	19	0	0	NUM
ejpam-6042	349	20	)	)	PUNCT
ejpam-6042	349	21	=	=	SYM
ejpam-6042	349	22	(	(	PUNCT
ejpam-6042	349	23	3,−2)t	3,−2)t	NUM
ejpam-6042	349	24	.	.	PUNCT
ejpam-6042	350	1	(	(	PUNCT
ejpam-6042	350	2	44	44	NUM
ejpam-6042	350	3	)	)	PUNCT
ejpam-6042	350	4	we	we	PRON
ejpam-6042	350	5	set	set	VERB
ejpam-6042	350	6	m1	m1	PROPN
ejpam-6042	350	7	=	=	PUNCT
ejpam-6042	350	8	13	13	NUM
ejpam-6042	350	9	3	3	NUM
ejpam-6042	350	10	kg	kg	NOUN
ejpam-6042	350	11	,	,	PUNCT
ejpam-6042	350	12	m2	m2	PROPN
ejpam-6042	350	13	=	=	PROPN
ejpam-6042	350	14	5	5	NUM
ejpam-6042	350	15	kg	kg	NOUN
ejpam-6042	350	16	,	,	PUNCT
ejpam-6042	350	17	k1	k1	NOUN
ejpam-6042	350	18	=	=	SYM
ejpam-6042	350	19	1n	1n	NUM
ejpam-6042	350	20	·	·	PUNCT
ejpam-6042	350	21	m−1	m−1	PROPN
ejpam-6042	350	22	,	,	PUNCT
ejpam-6042	350	23	k2	k2	NOUN
ejpam-6042	350	24	=	=	SYM
ejpam-6042	350	25	2n	2n	NUM
ejpam-6042	350	26	·	·	PUNCT
ejpam-6042	350	27	m−1	m−1	PROPN
ejpam-6042	350	28	,	,	PUNCT
ejpam-6042	350	29	so	so	ADV
ejpam-6042	350	30	the	the	DET
ejpam-6042	350	31	theoretical	theoretical	ADJ
ejpam-6042	350	32	solution	solution	NOUN
ejpam-6042	350	33	is	be	AUX
ejpam-6042	350	34	u	u	NOUN
ejpam-6042	350	35	(	(	PUNCT
ejpam-6042	350	36	t	t	PROPN
ejpam-6042	350	37	)	)	PUNCT
ejpam-6042	350	38	=	=	PUNCT
ejpam-6042	351	1	(	(	PUNCT
ejpam-6042	351	2	3	3	NUM
ejpam-6042	351	3	sin	sin	NOUN
ejpam-6042	351	4	(	(	PUNCT
ejpam-6042	351	5	t	t	NOUN
ejpam-6042	351	6	)	)	PUNCT
ejpam-6042	351	7	,	,	PUNCT
ejpam-6042	351	8	−2	−2	NOUN
ejpam-6042	351	9	sin	sin	NOUN
ejpam-6042	351	10	(	(	PUNCT
ejpam-6042	351	11	t))t	t))t	NOUN
ejpam-6042	351	12	.	.	PUNCT
ejpam-6042	352	1	(	(	PUNCT
ejpam-6042	352	2	45	45	NUM
ejpam-6042	352	3	)	)	PUNCT
ejpam-6042	352	4	fitted	fit	VERB
ejpam-6042	352	5	frequency	frequency	NOUN
ejpam-6042	352	6	,	,	PUNCT
ejpam-6042	352	7	λ	λ	X
ejpam-6042	352	8	=	=	NOUN
ejpam-6042	352	9	1	1	X
ejpam-6042	352	10	.	.	PUNCT
ejpam-6042	352	11	experiment	experiment	NOUN
ejpam-6042	352	12	5	5	NUM
ejpam-6042	352	13	(	(	PUNCT
ejpam-6042	352	14	fig	fig	NOUN
ejpam-6042	352	15	.	.	PUNCT
ejpam-6042	353	1	16	16	NUM
ejpam-6042	353	2	)	)	PUNCT
ejpam-6042	353	3	:	:	PUNCT
ejpam-6042	353	4	consider	consider	VERB
ejpam-6042	353	5	another	another	DET
ejpam-6042	353	6	undamped	undampe	VERB
ejpam-6042	353	7	mass	mass	ADJ
ejpam-6042	353	8	-	-	PUNCT
ejpam-6042	353	9	spring	spring	NOUN
ejpam-6042	353	10	system	system	NOUN
ejpam-6042	353	11	[	[	X
ejpam-6042	353	12	29	29	NUM
ejpam-6042	353	13	]	]	PUNCT
ejpam-6042	353	14	figure	figure	NOUN
ejpam-6042	353	15	16	16	NUM
ejpam-6042	353	16	:	:	PUNCT
ejpam-6042	353	17	experiment	experiment	NOUN
ejpam-6042	353	18	5	5	NUM
ejpam-6042	353	19			NOUN
ejpam-6042	353	20	(	(	PUNCT
ejpam-6042	353	21	m1	m1	PROPN
ejpam-6042	353	22	0	0	NUM
ejpam-6042	353	23	0	0	NUM
ejpam-6042	353	24	m2	m2	PROPN
ejpam-6042	353	25	)	)	PUNCT
ejpam-6042	353	26	u′′	u′′	PROPN
ejpam-6042	353	27	(	(	PUNCT
ejpam-6042	353	28	t	t	PROPN
ejpam-6042	353	29	)	)	PUNCT
ejpam-6042	353	30	=	=	PUNCT
ejpam-6042	354	1	(	(	PUNCT
ejpam-6042	354	2	−k	−k	PROPN
ejpam-6042	354	3	k	k	X
ejpam-6042	354	4	k	k	PROPN
ejpam-6042	354	5	−k	−k	PROPN
ejpam-6042	354	6	)	)	PUNCT
ejpam-6042	354	7	u	u	PROPN
ejpam-6042	354	8	(	(	PUNCT
ejpam-6042	354	9	t	t	PROPN
ejpam-6042	354	10	)	)	PUNCT
ejpam-6042	354	11	,	,	PUNCT
ejpam-6042	354	12	t	t	PROPN
ejpam-6042	354	13	∈	∈	PROPN
ejpam-6042	355	1	[	[	X
ejpam-6042	355	2	0	0	NUM
ejpam-6042	355	3	,	,	PUNCT
ejpam-6042	355	4	100	100	NUM
ejpam-6042	355	5	]	]	PUNCT
ejpam-6042	355	6	,	,	PUNCT
ejpam-6042	355	7	u	u	NOUN
ejpam-6042	355	8	(	(	PUNCT
ejpam-6042	355	9	0	0	NUM
ejpam-6042	355	10	)	)	PUNCT
ejpam-6042	355	11	=	=	SYM
ejpam-6042	355	12	(	(	PUNCT
ejpam-6042	355	13	0	0	NUM
ejpam-6042	355	14	,	,	PUNCT
ejpam-6042	355	15	0)t	0)t	INTJ
ejpam-6042	355	16	,	,	PUNCT
ejpam-6042	355	17	u′	u′	PROPN
ejpam-6042	355	18	(	(	PUNCT
ejpam-6042	355	19	0	0	NUM
ejpam-6042	355	20	)	)	PUNCT
ejpam-6042	355	21	=	=	SYM
ejpam-6042	355	22	(	(	PUNCT
ejpam-6042	355	23	10,−1)t	10,−1)t	NUM
ejpam-6042	355	24	.	.	PUNCT
ejpam-6042	356	1	(	(	PUNCT
ejpam-6042	356	2	46	46	X
ejpam-6042	356	3	)	)	PUNCT
ejpam-6042	356	4	we	we	PRON
ejpam-6042	356	5	set	set	VERB
ejpam-6042	356	6	m1	m1	NOUN
ejpam-6042	356	7	=	=	PUNCT
ejpam-6042	356	8	8	8	NUM
ejpam-6042	356	9	kg	kg	NOUN
ejpam-6042	356	10	,	,	PUNCT
ejpam-6042	356	11	m2	m2	PROPN
ejpam-6042	356	12	=	=	PROPN
ejpam-6042	356	13	7kg	7kg	NOUN
ejpam-6042	356	14	,	,	PUNCT
ejpam-6042	356	15	k1	k1	NOUN
ejpam-6042	356	16	=	=	NOUN
ejpam-6042	356	17	56n	56n	NOUN
ejpam-6042	356	18	·	·	PUNCT
ejpam-6042	356	19	m−1	m−1	PROPN
ejpam-6042	356	20	,	,	PUNCT
ejpam-6042	356	21	so	so	ADV
ejpam-6042	356	22	the	the	DET
ejpam-6042	356	23	theoretical	theoretical	ADJ
ejpam-6042	356	24	solution	solution	NOUN
ejpam-6042	356	25	is	be	AUX
ejpam-6042	356	26	u	u	NOUN
ejpam-6042	356	27	(	(	PUNCT
ejpam-6042	356	28	t	t	PROPN
ejpam-6042	356	29	)	)	PUNCT
ejpam-6042	356	30	=	=	PUNCT
ejpam-6042	357	1	(	(	PUNCT
ejpam-6042	357	2	73	73	NUM
ejpam-6042	357	3	15	15	NUM
ejpam-6042	357	4	t+	t+	NUM
ejpam-6042	357	5	77	77	NUM
ejpam-6042	357	6	√	√	NUM
ejpam-6042	357	7	15	15	NUM
ejpam-6042	357	8	225	225	NUM
ejpam-6042	357	9	sin	sin	NOUN
ejpam-6042	357	10	(	(	PUNCT
ejpam-6042	357	11	√	√	ADP
ejpam-6042	357	12	15	15	NUM
ejpam-6042	357	13	t	t	NOUN
ejpam-6042	357	14	)	)	PUNCT
ejpam-6042	357	15	,	,	PUNCT
ejpam-6042	357	16	73	73	NUM
ejpam-6042	357	17	15	15	NUM
ejpam-6042	357	18	t−	t−	PROPN
ejpam-6042	357	19	88	88	NUM
ejpam-6042	357	20	√	√	NUM
ejpam-6042	357	21	15	15	NUM
ejpam-6042	357	22	225	225	NUM
ejpam-6042	357	23	sin	sin	NOUN
ejpam-6042	357	24	(	(	PUNCT
ejpam-6042	357	25	√	√	ADP
ejpam-6042	357	26	15	15	NUM
ejpam-6042	357	27	t	t	NOUN
ejpam-6042	357	28	)	)	PUNCT
ejpam-6042	357	29	)	)	PUNCT
ejpam-6042	357	30	t	t	NOUN
ejpam-6042	357	31	.	.	PUNCT
ejpam-6042	358	1	(	(	PUNCT
ejpam-6042	358	2	47	47	NUM
ejpam-6042	358	3	)	)	PUNCT
ejpam-6042	358	4	fitted	fit	VERB
ejpam-6042	358	5	frequency	frequency	NOUN
ejpam-6042	358	6	,	,	PUNCT
ejpam-6042	358	7	λ	λ	X
ejpam-6042	358	8	=	=	NOUN
ejpam-6042	358	9	√	√	NUM
ejpam-6042	358	10	15	15	NUM
ejpam-6042	358	11	.	.	PUNCT
ejpam-6042	359	1	let	let	VERB
ejpam-6042	359	2	t	t	NOUN
ejpam-6042	359	3	=	=	SYM
ejpam-6042	359	4	0	0	NUM
ejpam-6042	359	5	be	be	AUX
ejpam-6042	359	6	the	the	DET
ejpam-6042	359	7	moment	moment	NOUN
ejpam-6042	359	8	when	when	SCONJ
ejpam-6042	359	9	the	the	DET
ejpam-6042	359	10	two	two	NUM
ejpam-6042	359	11	cars	car	NOUN
ejpam-6042	359	12	meet	meet	VERB
ejpam-6042	359	13	.	.	PUNCT
ejpam-6042	360	1	then	then	ADV
ejpam-6042	360	2	two	two	NUM
ejpam-6042	360	3	cars	car	NOUN
ejpam-6042	360	4	begin	begin	VERB
ejpam-6042	360	5	to	to	PART
ejpam-6042	360	6	compress	compress	VERB
ejpam-6042	360	7	the	the	DET
ejpam-6042	360	8	spring	spring	NOUN
ejpam-6042	360	9	till	till	SCONJ
ejpam-6042	360	10	the	the	DET
ejpam-6042	360	11	spring	spring	NOUN
ejpam-6042	360	12	’s	’s	PART
ejpam-6042	360	13	elastic	elastic	ADJ
ejpam-6042	360	14	potential	potential	ADJ
ejpam-6042	360	15	energy	energy	NOUN
ejpam-6042	360	16	reaches	reach	VERB
ejpam-6042	360	17	its	its	PRON
ejpam-6042	360	18	maximum	maximum	ADJ
ejpam-6042	360	19	critical	critical	ADJ
ejpam-6042	360	20	point	point	NOUN
ejpam-6042	360	21	,	,	PUNCT
ejpam-6042	360	22	the	the	DET
ejpam-6042	360	23	spring	spring	NOUN
ejpam-6042	360	24	stretches	stretch	NOUN
ejpam-6042	360	25	and	and	CCONJ
ejpam-6042	360	26	becomes	become	VERB
ejpam-6042	360	27	longer	long	ADV
ejpam-6042	360	28	,	,	PUNCT
ejpam-6042	360	29	and	and	CCONJ
ejpam-6042	360	30	finally	finally	ADV
ejpam-6042	360	31	the	the	DET
ejpam-6042	360	32	two	two	NUM
ejpam-6042	360	33	cars	car	NOUN
ejpam-6042	360	34	separate	separate	ADJ
ejpam-6042	360	35	(	(	PUNCT
ejpam-6042	360	36	not	not	PART
ejpam-6042	360	37	considering	consider	VERB
ejpam-6042	360	38	any	any	DET
ejpam-6042	360	39	car	car	NOUN
ejpam-6042	360	40	hitting	hit	VERB
ejpam-6042	360	41	the	the	DET
ejpam-6042	360	42	wall	wall	NOUN
ejpam-6042	360	43	)	)	PUNCT
ejpam-6042	360	44	.	.	PUNCT
ejpam-6042	361	1	z.	z.	PROPN
ejpam-6042	361	2	sun	sun	PROPN
ejpam-6042	361	3	et	et	PROPN
ejpam-6042	361	4	al	al	PROPN
ejpam-6042	361	5	.	.	PUNCT
ejpam-6042	361	6	/	/	SYM
ejpam-6042	361	7	eur	eur	PROPN
ejpam-6042	361	8	.	.	PUNCT
ejpam-6042	362	1	j.	j.	PROPN
ejpam-6042	362	2	pure	pure	PROPN
ejpam-6042	362	3	appl	appl	PROPN
ejpam-6042	362	4	.	.	PROPN
ejpam-6042	362	5	math	math	PROPN
ejpam-6042	362	6	,	,	PUNCT
ejpam-6042	362	7	18	18	NUM
ejpam-6042	362	8	(	(	PUNCT
ejpam-6042	362	9	4	4	NUM
ejpam-6042	362	10	)	)	PUNCT
ejpam-6042	362	11	(	(	PUNCT
ejpam-6042	362	12	2025	2025	NUM
ejpam-6042	362	13	)	)	PUNCT
ejpam-6042	362	14	,	,	PUNCT
ejpam-6042	362	15	6042	6042	NUM
ejpam-6042	362	16	21	21	NUM
ejpam-6042	362	17	of	of	ADP
ejpam-6042	362	18	45	45	NUM
ejpam-6042	362	19	figure	figure	NOUN
ejpam-6042	362	20	17	17	NUM
ejpam-6042	362	21	:	:	PUNCT
ejpam-6042	362	22	rk4	rk4	NOUN
ejpam-6042	362	23	method	method	NOUN
ejpam-6042	362	24	for	for	ADP
ejpam-6042	362	25	experiment	experiment	NOUN
ejpam-6042	362	26	8	8	NUM
ejpam-6042	362	27	with	with	ADP
ejpam-6042	362	28	h	h	NOUN
ejpam-6042	362	29	=	=	SYM
ejpam-6042	362	30	10−5	10−5	NUM
ejpam-6042	362	31	and	and	CCONJ
ejpam-6042	362	32	b	b	NOUN
ejpam-6042	362	33	=	=	SYM
ejpam-6042	362	34	10	10	NUM
ejpam-6042	362	35	.	.	PUNCT
ejpam-6042	362	36	figure	figure	VERB
ejpam-6042	362	37	18	18	NUM
ejpam-6042	362	38	:	:	PUNCT
ejpam-6042	362	39	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	362	40	)	)	PUNCT
ejpam-6042	362	41	method	method	NOUN
ejpam-6042	362	42	for	for	ADP
ejpam-6042	362	43	experiment	experiment	NOUN
ejpam-6042	362	44	8	8	NUM
ejpam-6042	362	45	with	with	ADP
ejpam-6042	362	46	h	h	NOUN
ejpam-6042	362	47	=	=	SYM
ejpam-6042	362	48	10−3	10−3	NUM
ejpam-6042	362	49	and	and	CCONJ
ejpam-6042	362	50	b	b	NOUN
ejpam-6042	362	51	=	=	SYM
ejpam-6042	362	52	10	10	NUM
ejpam-6042	362	53	.	.	PUNCT
ejpam-6042	363	1	figure	figure	VERB
ejpam-6042	363	2	19	19	NUM
ejpam-6042	363	3	:	:	PUNCT
ejpam-6042	363	4	numerical	numerical	ADJ
ejpam-6042	363	5	simulation	simulation	NOUN
ejpam-6042	363	6	for	for	ADP
ejpam-6042	363	7	experiment	experiment	NOUN
ejpam-6042	363	8	8	8	NUM
ejpam-6042	363	9	with	with	ADP
ejpam-6042	363	10	h	h	NOUN
ejpam-6042	363	11	=	=	SYM
ejpam-6042	363	12	10−3	10−3	NUM
ejpam-6042	363	13	and	and	CCONJ
ejpam-6042	363	14	b	b	NOUN
ejpam-6042	363	15	=	=	SYM
ejpam-6042	363	16	10	10	PROPN
ejpam-6042	363	17	.	.	PUNCT
ejpam-6042	364	1	experiment	experiment	NOUN
ejpam-6042	364	2	6	6	NUM
ejpam-6042	364	3	:	:	PUNCT
ejpam-6042	364	4	consider	consider	VERB
ejpam-6042	364	5	the	the	DET
ejpam-6042	364	6	“	"	PUNCT
ejpam-6042	364	7	two	two	NUM
ejpam-6042	364	8	coupled	couple	VERB
ejpam-6042	364	9	oscillators	oscillator	NOUN
ejpam-6042	364	10	with	with	ADP
ejpam-6042	364	11	different	different	ADJ
ejpam-6042	364	12	frequencies	frequency	NOUN
ejpam-6042	364	13	”	"	PUNCT
ejpam-6042	364	14	system	system	NOUN
ejpam-6042	364	15	[	[	X
ejpam-6042	364	16	30]u	30]u	NUM
ejpam-6042	364	17	′′	′′	PROPN
ejpam-6042	364	18	(	(	PUNCT
ejpam-6042	364	19	t	t	PROPN
ejpam-6042	364	20	)	)	PUNCT
ejpam-6042	364	21	=	=	PRON
ejpam-6042	364	22	(	(	PUNCT
ejpam-6042	364	23	−1	−1	NOUN
ejpam-6042	364	24	0	0	SYM
ejpam-6042	364	25	0	0	NUM
ejpam-6042	364	26	−2	−2	NOUN
ejpam-6042	364	27	)	)	PUNCT
ejpam-6042	364	28	u	u	NOUN
ejpam-6042	364	29	(	(	PUNCT
ejpam-6042	364	30	t	t	PROPN
ejpam-6042	364	31	)	)	PUNCT
ejpam-6042	365	1	+	+	CCONJ
ejpam-6042	365	2	(	(	PUNCT
ejpam-6042	365	3	2εu1	2εu1	NUM
ejpam-6042	365	4	(	(	PUNCT
ejpam-6042	365	5	t)u2	t)u2	NOUN
ejpam-6042	365	6	(	(	PUNCT
ejpam-6042	365	7	t	t	PROPN
ejpam-6042	365	8	)	)	PUNCT
ejpam-6042	365	9	ε	ε	PROPN
ejpam-6042	365	10	(	(	PUNCT
ejpam-6042	365	11	u1	u1	PROPN
ejpam-6042	365	12	2	2	NUM
ejpam-6042	365	13	(	(	PUNCT
ejpam-6042	365	14	t	t	PROPN
ejpam-6042	365	15	)	)	PUNCT
ejpam-6042	365	16	+	+	CCONJ
ejpam-6042	365	17	4u2	4u2	NUM
ejpam-6042	365	18	3	3	NUM
ejpam-6042	365	19	(	(	PUNCT
ejpam-6042	365	20	t	t	PROPN
ejpam-6042	365	21	)	)	PUNCT
ejpam-6042	365	22	)	)	PUNCT
ejpam-6042	365	23	)	)	PUNCT
ejpam-6042	365	24	,	,	PUNCT
ejpam-6042	365	25	t	t	PROPN
ejpam-6042	365	26	∈	∈	PROPN
ejpam-6042	366	1	[	[	X
ejpam-6042	366	2	0	0	NUM
ejpam-6042	366	3	,	,	PUNCT
ejpam-6042	366	4	5	5	NUM
ejpam-6042	366	5	]	]	PUNCT
ejpam-6042	366	6	,	,	PUNCT
ejpam-6042	366	7	u	u	NOUN
ejpam-6042	366	8	(	(	PUNCT
ejpam-6042	366	9	0	0	NUM
ejpam-6042	366	10	)	)	PUNCT
ejpam-6042	366	11	=	=	NOUN
ejpam-6042	366	12	(	(	PUNCT
ejpam-6042	366	13	1	1	NUM
ejpam-6042	366	14	,	,	PUNCT
ejpam-6042	366	15	1)t	1)t	NUM
ejpam-6042	366	16	,	,	PUNCT
ejpam-6042	366	17	u′	u′	PROPN
ejpam-6042	366	18	(	(	PUNCT
ejpam-6042	366	19	0	0	NUM
ejpam-6042	366	20	)	)	PUNCT
ejpam-6042	366	21	=	=	SYM
ejpam-6042	366	22	(	(	PUNCT
ejpam-6042	366	23	0	0	NUM
ejpam-6042	366	24	,	,	PUNCT
ejpam-6042	366	25	0)t	0)t	INTJ
ejpam-6042	366	26	.	.	PUNCT
ejpam-6042	367	1	(	(	PUNCT
ejpam-6042	367	2	48	48	NUM
ejpam-6042	367	3	)	)	PUNCT
ejpam-6042	367	4	the	the	DET
ejpam-6042	367	5	use	use	NOUN
ejpam-6042	367	6	of	of	ADP
ejpam-6042	367	7	a	a	DET
ejpam-6042	367	8	perturbation	perturbation	NOUN
ejpam-6042	367	9	method	method	NOUN
ejpam-6042	367	10	yields	yield	VERB
ejpam-6042	367	11	the	the	DET
ejpam-6042	367	12	first	first	ADJ
ejpam-6042	367	13	-	-	PUNCT
ejpam-6042	367	14	order	order	NOUN
ejpam-6042	367	15	fitted	fit	VERB
ejpam-6042	367	16	frequencies	frequency	NOUN
ejpam-6042	367	17	[	[	X
ejpam-6042	367	18	31	31	NUM
ejpam-6042	367	19	]	]	PUNCT
ejpam-6042	367	20	λu1	λu1	PROPN
ejpam-6042	367	21	=	=	SYM
ejpam-6042	367	22	1	1	NUM
ejpam-6042	367	23	·	·	PUNCT
ejpam-6042	367	24	λu2	λu2	VERB
ejpam-6042	367	25	=	=	SYM
ejpam-6042	367	26	√	√	PROPN
ejpam-6042	367	27	2−	2−	NUM
ejpam-6042	367	28	3ε√	3ε√	NUM
ejpam-6042	367	29	2	2	NUM
ejpam-6042	367	30	.	.	PUNCT
ejpam-6042	368	1	(	(	PUNCT
ejpam-6042	368	2	49	49	NUM
ejpam-6042	368	3	)	)	PUNCT
ejpam-6042	368	4	we	we	PRON
ejpam-6042	368	5	set	set	VERB
ejpam-6042	368	6	ε	ε	PROPN
ejpam-6042	368	7	=	=	SYM
ejpam-6042	368	8	10−4	10−4	PROPN
ejpam-6042	368	9	.	.	PUNCT
ejpam-6042	369	1	as	as	SCONJ
ejpam-6042	369	2	we	we	PRON
ejpam-6042	369	3	are	be	AUX
ejpam-6042	369	4	unable	unable	ADJ
ejpam-6042	369	5	to	to	PART
ejpam-6042	369	6	obtain	obtain	VERB
ejpam-6042	369	7	the	the	DET
ejpam-6042	369	8	theoretical	theoretical	ADJ
ejpam-6042	369	9	solution	solution	NOUN
ejpam-6042	369	10	for	for	ADP
ejpam-6042	369	11	experiment	experiment	NOUN
ejpam-6042	369	12	8	8	NUM
ejpam-6042	369	13	,	,	PUNCT
ejpam-6042	369	14	we	we	PRON
ejpam-6042	369	15	use	use	VERB
ejpam-6042	369	16	the	the	DET
ejpam-6042	369	17	numerical	numerical	ADJ
ejpam-6042	369	18	solution	solution	NOUN
ejpam-6042	369	19	generated	generate	VERB
ejpam-6042	369	20	by	by	ADP
ejpam-6042	369	21	the	the	DET
ejpam-6042	369	22	classical	classical	ADJ
ejpam-6042	369	23	fourth	fourth	ADJ
ejpam-6042	369	24	-	-	PUNCT
ejpam-6042	369	25	order	order	NOUN
ejpam-6042	369	26	runge	runge	NOUN
ejpam-6042	369	27	-	-	PUNCT
ejpam-6042	369	28	kutta	kutta	NOUN
ejpam-6042	369	29	method	method	NOUN
ejpam-6042	369	30	with	with	ADP
ejpam-6042	369	31	step	step	NOUN
ejpam-6042	369	32	size	size	NOUN
ejpam-6042	369	33	,	,	PUNCT
ejpam-6042	369	34	h	h	NOUN
ejpam-6042	369	35	=	=	SYM
ejpam-6042	369	36	10−5	10−5	NUM
ejpam-6042	369	37	as	as	ADP
ejpam-6042	369	38	its	its	PRON
ejpam-6042	369	39	theoretical	theoretical	ADJ
ejpam-6042	369	40	solution	solution	NOUN
ejpam-6042	369	41	and	and	CCONJ
ejpam-6042	369	42	compare	compare	VERB
ejpam-6042	369	43	it	it	PRON
ejpam-6042	369	44	with	with	ADP
ejpam-6042	369	45	other	other	ADJ
ejpam-6042	369	46	comparative	comparative	ADJ
ejpam-6042	369	47	methods	method	NOUN
ejpam-6042	369	48	.	.	PUNCT
ejpam-6042	370	1	figs	fig	NOUN
ejpam-6042	370	2	.	.	PUNCT
ejpam-6042	371	1	17	17	NUM
ejpam-6042	371	2	,	,	PUNCT
ejpam-6042	371	3	18	18	NUM
ejpam-6042	371	4	,	,	PUNCT
ejpam-6042	371	5	19	19	NUM
ejpam-6042	371	6	display	display	VERB
ejpam-6042	371	7	the	the	DET
ejpam-6042	371	8	numerical	numerical	PROPN
ejpam-6042	371	9	simulation	simulation	PROPN
ejpam-6042	371	10	with	with	ADP
ejpam-6042	371	11	b	b	PROPN
ejpam-6042	371	12	=	=	SYM
ejpam-6042	371	13	10	10	NUM
ejpam-6042	371	14	.	.	PUNCT
ejpam-6042	372	1	z.	z.	PROPN
ejpam-6042	372	2	sun	sun	PROPN
ejpam-6042	372	3	et	et	PROPN
ejpam-6042	372	4	al	al	PROPN
ejpam-6042	372	5	.	.	PUNCT
ejpam-6042	372	6	/	/	SYM
ejpam-6042	372	7	eur	eur	PROPN
ejpam-6042	372	8	.	.	PUNCT
ejpam-6042	373	1	j.	j.	PROPN
ejpam-6042	373	2	pure	pure	PROPN
ejpam-6042	373	3	appl	appl	PROPN
ejpam-6042	373	4	.	.	PROPN
ejpam-6042	373	5	math	math	PROPN
ejpam-6042	373	6	,	,	PUNCT
ejpam-6042	373	7	18	18	NUM
ejpam-6042	373	8	(	(	PUNCT
ejpam-6042	373	9	4	4	NUM
ejpam-6042	373	10	)	)	PUNCT
ejpam-6042	373	11	(	(	PUNCT
ejpam-6042	373	12	2025	2025	NUM
ejpam-6042	373	13	)	)	PUNCT
ejpam-6042	373	14	,	,	PUNCT
ejpam-6042	373	15	6042	6042	NUM
ejpam-6042	373	16	22	22	NUM
ejpam-6042	373	17	of	of	ADP
ejpam-6042	373	18	45	45	NUM
ejpam-6042	373	19	8	8	NUM
ejpam-6042	373	20	.	.	PUNCT
ejpam-6042	374	1	tables	table	NOUN
ejpam-6042	374	2	and	and	CCONJ
ejpam-6042	374	3	graphs	graph	NOUN
ejpam-6042	374	4	of	of	ADP
ejpam-6042	374	5	numerical	numerical	ADJ
ejpam-6042	374	6	results	result	NOUN
ejpam-6042	374	7	table	table	VERB
ejpam-6042	374	8	5	5	NUM
ejpam-6042	374	9	:	:	PUNCT
ejpam-6042	374	10	experiment	experiment	NOUN
ejpam-6042	374	11	1	1	NUM
ejpam-6042	374	12	.	.	PUNCT
ejpam-6042	375	1	h	h	PROPN
ejpam-6042	375	2	method	method	NOUN
ejpam-6042	375	3	mgte	mgte	PROPN
ejpam-6042	375	4	nfe	nfe	PROPN
ejpam-6042	375	5	time(s	time(s	NOUN
ejpam-6042	375	6	)	)	PUNCT
ejpam-6042	375	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	375	8	)	)	PUNCT
ejpam-6042	375	9	4.084364(-16	4.084364(-16	NOUN
ejpam-6042	375	10	)	)	PUNCT
ejpam-6042	375	11	12000	12000	NUM
ejpam-6042	375	12	0.519	0.519	NUM
ejpam-6042	375	13	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	375	14	1.802952(-13	1.802952(-13	NUM
ejpam-6042	375	15	)	)	PUNCT
ejpam-6042	375	16	12000	12000	NUM
ejpam-6042	375	17	0.539	0.539	NUM
ejpam-6042	375	18	0.025	0.025	NUM
ejpam-6042	375	19	stdrkn5	stdrkn5	NOUN
ejpam-6042	375	20	1.562715(-5	1.562715(-5	NUM
ejpam-6042	375	21	)	)	PUNCT
ejpam-6042	375	22	12000	12000	NUM
ejpam-6042	375	23	0.587	0.587	NUM
ejpam-6042	375	24	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	375	25	-	-	PUNCT
ejpam-6042	375	26	6er	6er	ADJ
ejpam-6042	375	27	5.960929(-13	5.960929(-13	NOUN
ejpam-6042	375	28	)	)	PUNCT
ejpam-6042	375	29	24000	24000	NUM
ejpam-6042	375	30	0.719	0.719	NUM
ejpam-6042	375	31	tfirkn5	tfirkn5	NOUN
ejpam-6042	375	32	1.912294(-4	1.912294(-4	NUM
ejpam-6042	375	33	)	)	PUNCT
ejpam-6042	375	34	32000	32000	NUM
ejpam-6042	375	35	0.632	0.632	NUM
ejpam-6042	375	36	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	375	37	)	)	PUNCT
ejpam-6042	375	38	1.144546(-17	1.144546(-17	NOUN
ejpam-6042	375	39	)	)	PUNCT
ejpam-6042	375	40	15000	15000	NUM
ejpam-6042	375	41	0.595	0.595	NUM
ejpam-6042	375	42	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	375	43	1.934776(-14	1.934776(-14	NUM
ejpam-6042	375	44	)	)	PUNCT
ejpam-6042	375	45	15000	15000	NUM
ejpam-6042	375	46	0.632	0.632	NUM
ejpam-6042	375	47	0.020	0.020	NUM
ejpam-6042	375	48	stdrkn5	stdrkn5	NOUN
ejpam-6042	376	1	5.115801(-6	5.115801(-6	NUM
ejpam-6042	376	2	)	)	PUNCT
ejpam-6042	376	3	15000	15000	NUM
ejpam-6042	376	4	0.749	0.749	NUM
ejpam-6042	376	5	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	376	6	-	-	PUNCT
ejpam-6042	376	7	6er	6er	NOUN
ejpam-6042	376	8	1.039706(-13	1.039706(-13	NOUN
ejpam-6042	376	9	)	)	PUNCT
ejpam-6042	376	10	30000	30000	NUM
ejpam-6042	376	11	0.856	0.856	NUM
ejpam-6042	376	12	tfirkn5	tfirkn5	NOUN
ejpam-6042	376	13	6.171445(-5	6.171445(-5	NUM
ejpam-6042	376	14	)	)	PUNCT
ejpam-6042	376	15	40000	40000	NUM
ejpam-6042	376	16	0.754	0.754	NUM
ejpam-6042	376	17	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	376	18	)	)	PUNCT
ejpam-6042	376	19	1.142831(-19	1.142831(-19	NOUN
ejpam-6042	376	20	)	)	PUNCT
ejpam-6042	376	21	20000	20000	NUM
ejpam-6042	376	22	0.756	0.756	NUM
ejpam-6042	376	23	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	376	24	1.089515(-15	1.089515(-15	NUM
ejpam-6042	376	25	)	)	PUNCT
ejpam-6042	376	26	20000	20000	NUM
ejpam-6042	376	27	0.932	0.932	NUM
ejpam-6042	376	28	0.015	0.015	NUM
ejpam-6042	376	29	stdrkn5	stdrkn5	NOUN
ejpam-6042	377	1	1.214425(-6	1.214425(-6	NUM
ejpam-6042	377	2	)	)	PUNCT
ejpam-6042	377	3	20000	20000	NUM
ejpam-6042	377	4	0.938	0.938	NUM
ejpam-6042	377	5	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	377	6	-	-	PUNCT
ejpam-6042	377	7	6er	6er	NOUN
ejpam-6042	377	8	1.140415(-14	1.140415(-14	NOUN
ejpam-6042	377	9	)	)	PUNCT
ejpam-6042	377	10	40000	40000	NUM
ejpam-6042	377	11	1.145	1.145	NUM
ejpam-6042	377	12	tfirkn5	tfirkn5	NOUN
ejpam-6042	377	13	1.450237(-5	1.450237(-5	NUM
ejpam-6042	377	14	)	)	PUNCT
ejpam-6042	377	15	53333	53333	NUM
ejpam-6042	377	16	1.014	1.014	NUM
ejpam-6042	377	17	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	377	18	)	)	PUNCT
ejpam-6042	377	19	1.737694(-22	1.737694(-22	NOUN
ejpam-6042	377	20	)	)	PUNCT
ejpam-6042	377	21	30000	30000	NUM
ejpam-6042	377	22	1.250	1.250	NUM
ejpam-6042	377	23	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	377	24	7.568127(-17	7.568127(-17	NOUN
ejpam-6042	377	25	)	)	PUNCT
ejpam-6042	377	26	30000	30000	NUM
ejpam-6042	377	27	1.260	1.260	NUM
ejpam-6042	377	28	0.010	0.010	NUM
ejpam-6042	377	29	stdrkn5	stdrkn5	NOUN
ejpam-6042	378	1	1.599277(-7	1.599277(-7	NUM
ejpam-6042	378	2	)	)	PUNCT
ejpam-6042	378	3	30000	30000	NUM
ejpam-6042	378	4	1.309	1.309	NUM
ejpam-6042	378	5	pfafrkn6	pfafrkn6	PROPN
ejpam-6042	378	6	-	-	PUNCT
ejpam-6042	378	7	6er	6er	NOUN
ejpam-6042	378	8	5.498041(-16	5.498041(-16	NOUN
ejpam-6042	378	9	)	)	PUNCT
ejpam-6042	379	1	60000	60000	NUM
ejpam-6042	379	2	1.769	1.769	NUM
ejpam-6042	379	3	tfirkn5	tfirkn5	NOUN
ejpam-6042	379	4	1.895651(-6	1.895651(-6	NUM
ejpam-6042	379	5	)	)	PUNCT
ejpam-6042	379	6	80000	80000	NUM
ejpam-6042	379	7	1.509	1.509	NUM
ejpam-6042	379	8	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	379	9	)	)	PUNCT
ejpam-6042	379	10	2.648241(-27	2.648241(-27	NUM
ejpam-6042	379	11	)	)	PUNCT
ejpam-6042	379	12	60000	60000	NUM
ejpam-6042	379	13	2.447	2.447	NUM
ejpam-6042	379	14	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	379	15	1.847588(-20	1.847588(-20	NUM
ejpam-6042	379	16	)	)	PUNCT
ejpam-6042	379	17	60000	60000	NUM
ejpam-6042	379	18	2.601	2.601	NUM
ejpam-6042	379	19	0.005	0.005	NUM
ejpam-6042	379	20	stdrkn5	stdrkn5	NOUN
ejpam-6042	379	21	4.996194(-9	4.996194(-9	NUM
ejpam-6042	379	22	)	)	PUNCT
ejpam-6042	379	23	60000	60000	NUM
ejpam-6042	379	24	2.688	2.688	NUM
ejpam-6042	379	25	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	379	26	-	-	PUNCT
ejpam-6042	379	27	6er	6er	NOUN
ejpam-6042	379	28	3.887940(-18	3.887940(-18	NUM
ejpam-6042	379	29	)	)	PUNCT
ejpam-6042	379	30	120000	120000	NUM
ejpam-6042	379	31	3.390	3.390	NUM
ejpam-6042	379	32	tfirkn5	tfirkn5	NOUN
ejpam-6042	379	33	5.894875(-8	5.894875(-8	NUM
ejpam-6042	379	34	)	)	PUNCT
ejpam-6042	379	35	160000	160000	NUM
ejpam-6042	380	1	3.072	3.072	NUM
ejpam-6042	380	2	z.	z.	PROPN
ejpam-6042	380	3	sun	sun	PROPN
ejpam-6042	380	4	et	et	PROPN
ejpam-6042	380	5	al	al	PROPN
ejpam-6042	380	6	.	.	PUNCT
ejpam-6042	380	7	/	/	SYM
ejpam-6042	380	8	eur	eur	PROPN
ejpam-6042	380	9	.	.	PUNCT
ejpam-6042	381	1	j.	j.	PROPN
ejpam-6042	381	2	pure	pure	PROPN
ejpam-6042	381	3	appl	appl	PROPN
ejpam-6042	381	4	.	.	PROPN
ejpam-6042	381	5	math	math	PROPN
ejpam-6042	381	6	,	,	PUNCT
ejpam-6042	381	7	18	18	NUM
ejpam-6042	381	8	(	(	PUNCT
ejpam-6042	381	9	4	4	NUM
ejpam-6042	381	10	)	)	PUNCT
ejpam-6042	381	11	(	(	PUNCT
ejpam-6042	381	12	2025	2025	NUM
ejpam-6042	381	13	)	)	PUNCT
ejpam-6042	381	14	,	,	PUNCT
ejpam-6042	381	15	6042	6042	NUM
ejpam-6042	381	16	23	23	NUM
ejpam-6042	381	17	of	of	ADP
ejpam-6042	381	18	45	45	NUM
ejpam-6042	381	19	table	table	NOUN
ejpam-6042	381	20	6	6	NUM
ejpam-6042	381	21	:	:	PUNCT
ejpam-6042	381	22	experiment	experiment	NOUN
ejpam-6042	381	23	2	2	NUM
ejpam-6042	381	24	.	.	PUNCT
ejpam-6042	381	25	h	h	PROPN
ejpam-6042	381	26	method	method	NOUN
ejpam-6042	381	27	mgte	mgte	PROPN
ejpam-6042	381	28	nfe	nfe	PROPN
ejpam-6042	381	29	time(s	time(s	NOUN
ejpam-6042	381	30	)	)	PUNCT
ejpam-6042	381	31	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	381	32	)	)	PUNCT
ejpam-6042	381	33	1.529179(-30	1.529179(-30	NUM
ejpam-6042	381	34	)	)	PUNCT
ejpam-6042	381	35	12000	12000	NUM
ejpam-6042	381	36	0.426	0.426	NUM
ejpam-6042	381	37	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	381	38	1.790330(-22	1.790330(-22	NUM
ejpam-6042	381	39	)	)	PUNCT
ejpam-6042	381	40	12000	12000	NUM
ejpam-6042	381	41	0.470	0.470	NUM
ejpam-6042	381	42	0.025	0.025	NUM
ejpam-6042	381	43	stdrkn5	stdrkn5	ADV
ejpam-6042	381	44	5.168409(-10	5.168409(-10	NUM
ejpam-6042	381	45	)	)	PUNCT
ejpam-6042	381	46	12000	12000	NUM
ejpam-6042	381	47	0.467	0.467	NUM
ejpam-6042	381	48	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	381	49	-	-	PUNCT
ejpam-6042	381	50	6er	6er	NOUN
ejpam-6042	381	51	1.998151(-18	1.998151(-18	NOUN
ejpam-6042	381	52	)	)	PUNCT
ejpam-6042	381	53	24000	24000	NUM
ejpam-6042	381	54	0.675	0.675	NUM
ejpam-6042	381	55	tfirkn5	tfirkn5	NOUN
ejpam-6042	381	56	6.103274(-9	6.103274(-9	NUM
ejpam-6042	381	57	)	)	PUNCT
ejpam-6042	381	58	32000	32000	NUM
ejpam-6042	381	59	0.595	0.595	NUM
ejpam-6042	381	60	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	381	61	)	)	PUNCT
ejpam-6042	381	62	4.303836(-32	4.303836(-32	NUM
ejpam-6042	381	63	)	)	PUNCT
ejpam-6042	381	64	15000	15000	NUM
ejpam-6042	381	65	0.517	0.517	NUM
ejpam-6042	381	66	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	381	67	1.922284(-23	1.922284(-23	NOUN
ejpam-6042	381	68	)	)	PUNCT
ejpam-6042	381	69	15000	15000	NUM
ejpam-6042	381	70	0.593	0.593	NUM
ejpam-6042	381	71	0.020	0.020	NUM
ejpam-6042	381	72	stdrkn5	stdrkn5	NOUN
ejpam-6042	382	1	1.693915(-10	1.693915(-10	NUM
ejpam-6042	382	2	)	)	PUNCT
ejpam-6042	383	1	15000	15000	NUM
ejpam-6042	383	2	0.594	0.594	NUM
ejpam-6042	383	3	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	383	4	-	-	PUNCT
ejpam-6042	383	5	6er	6er	NOUN
ejpam-6042	383	6	4.654337(-19	4.654337(-19	NOUN
ejpam-6042	383	7	)	)	PUNCT
ejpam-6042	383	8	30000	30000	NUM
ejpam-6042	383	9	0.794	0.794	NUM
ejpam-6042	383	10	tfirkn5	tfirkn5	NOUN
ejpam-6042	383	11	1.999367(-9	1.999367(-9	NUM
ejpam-6042	383	12	)	)	PUNCT
ejpam-6042	383	13	40000	40000	NUM
ejpam-6042	383	14	0.798	0.798	NUM
ejpam-6042	383	15	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	383	16	)	)	PUNCT
ejpam-6042	383	17	4.313117(-34	4.313117(-34	NUM
ejpam-6042	383	18	)	)	PUNCT
ejpam-6042	383	19	20000	20000	NUM
ejpam-6042	383	20	0.768	0.768	NUM
ejpam-6042	383	21	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	383	22	1.082461(-24	1.082461(-24	NUM
ejpam-6042	383	23	)	)	PUNCT
ejpam-6042	383	24	20000	20000	NUM
ejpam-6042	383	25	0.771	0.771	NUM
ejpam-6042	383	26	0.015	0.015	NUM
ejpam-6042	383	27	stdrkn5	stdrkn5	NOUN
ejpam-6042	383	28	4.016910(-11	4.016910(-11	NOUN
ejpam-6042	383	29	)	)	PUNCT
ejpam-6042	383	30	20000	20000	NUM
ejpam-6042	383	31	0.856	0.856	NUM
ejpam-6042	383	32	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	383	33	-	-	PUNCT
ejpam-6042	383	34	6er	6er	NOUN
ejpam-6042	383	35	7.367519(-20	7.367519(-20	NOUN
ejpam-6042	383	36	)	)	PUNCT
ejpam-6042	383	37	40000	40000	NUM
ejpam-6042	383	38	1.083	1.083	NUM
ejpam-6042	383	39	tfirkn5	tfirkn5	NOUN
ejpam-6042	383	40	4.739915(-10	4.739915(-10	PRON
ejpam-6042	383	41	)	)	PUNCT
ejpam-6042	383	42	53333	53333	NUM
ejpam-6042	383	43	1.087	1.087	NUM
ejpam-6042	383	44	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	383	45	)	)	PUNCT
ejpam-6042	383	46	6.566061(-37	6.566061(-37	NOUN
ejpam-6042	383	47	)	)	PUNCT
ejpam-6042	383	48	30000	30000	NUM
ejpam-6042	383	49	1.022	1.022	NUM
ejpam-6042	383	50	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	383	51	1.877093(-26	1.877093(-26	NUM
ejpam-6042	383	52	)	)	PUNCT
ejpam-6042	383	53	30000	30000	NUM
ejpam-6042	383	54	1.079	1.079	NUM
ejpam-6042	383	55	0.010	0.010	NUM
ejpam-6042	383	56	stdrkn5	stdrkn5	NOUN
ejpam-6042	383	57	5.295473(-12	5.295473(-12	NOUN
ejpam-6042	383	58	)	)	PUNCT
ejpam-6042	383	59	30000	30000	NUM
ejpam-6042	383	60	1.142	1.142	NUM
ejpam-6042	383	61	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	383	62	-	-	PUNCT
ejpam-6042	383	63	6er	6er	ADJ
ejpam-6042	383	64	5.770130(-21	5.770130(-21	NUM
ejpam-6042	383	65	)	)	PUNCT
ejpam-6042	383	66	60000	60000	NUM
ejpam-6042	383	67	1.547	1.547	NUM
ejpam-6042	383	68	tfirkn5	tfirkn5	NOUN
ejpam-6042	383	69	6.245495(-11	6.245495(-11	ADP
ejpam-6042	383	70	)	)	PUNCT
ejpam-6042	383	71	80000	80000	NUM
ejpam-6042	383	72	1.381	1.381	NUM
ejpam-6042	383	73	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	383	74	)	)	PUNCT
ejpam-6042	383	75	1.001838(-41	1.001838(-41	NUM
ejpam-6042	383	76	)	)	PUNCT
ejpam-6042	383	77	60000	60000	NUM
ejpam-6042	383	78	2.075	2.075	NUM
ejpam-6042	383	79	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	383	80	1.833039(-29	1.833039(-29	NUM
ejpam-6042	383	81	)	)	PUNCT
ejpam-6042	383	82	60000	60000	NUM
ejpam-6042	383	83	2.340	2.340	NUM
ejpam-6042	383	84	0.005	0.005	NUM
ejpam-6042	383	85	stdrkn5	stdrkn5	PUNCT
ejpam-6042	383	86	1.655133(-13	1.655133(-13	VERB
ejpam-6042	383	87	)	)	PUNCT
ejpam-6042	383	88	60000	60000	NUM
ejpam-6042	383	89	2.502	2.502	NUM
ejpam-6042	383	90	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	383	91	-	-	PUNCT
ejpam-6042	383	92	6er	6er	NOUN
ejpam-6042	383	93	8.089612(-23	8.089612(-23	NOUN
ejpam-6042	383	94	)	)	PUNCT
ejpam-6042	383	95	120000	120000	NUM
ejpam-6042	383	96	3.285	3.285	NUM
ejpam-6042	383	97	tfirkn5	tfirkn5	PROPN
ejpam-6042	383	98	1.951468(-12	1.951468(-12	NOUN
ejpam-6042	383	99	)	)	PUNCT
ejpam-6042	384	1	160000	160000	NUM
ejpam-6042	384	2	3.022	3.022	NUM
ejpam-6042	384	3	z.	z.	PROPN
ejpam-6042	384	4	sun	sun	PROPN
ejpam-6042	384	5	et	et	PROPN
ejpam-6042	384	6	al	al	PROPN
ejpam-6042	384	7	.	.	PUNCT
ejpam-6042	384	8	/	/	SYM
ejpam-6042	384	9	eur	eur	PROPN
ejpam-6042	384	10	.	.	PUNCT
ejpam-6042	385	1	j.	j.	PROPN
ejpam-6042	385	2	pure	pure	PROPN
ejpam-6042	385	3	appl	appl	PROPN
ejpam-6042	385	4	.	.	PROPN
ejpam-6042	385	5	math	math	PROPN
ejpam-6042	385	6	,	,	PUNCT
ejpam-6042	385	7	18	18	NUM
ejpam-6042	385	8	(	(	PUNCT
ejpam-6042	385	9	4	4	NUM
ejpam-6042	385	10	)	)	PUNCT
ejpam-6042	385	11	(	(	PUNCT
ejpam-6042	385	12	2025	2025	NUM
ejpam-6042	385	13	)	)	PUNCT
ejpam-6042	385	14	,	,	PUNCT
ejpam-6042	385	15	6042	6042	NUM
ejpam-6042	385	16	24	24	NUM
ejpam-6042	385	17	of	of	ADP
ejpam-6042	385	18	45	45	NUM
ejpam-6042	385	19	table	table	NOUN
ejpam-6042	385	20	7	7	NUM
ejpam-6042	385	21	:	:	PUNCT
ejpam-6042	385	22	experiment	experiment	NOUN
ejpam-6042	385	23	3	3	NUM
ejpam-6042	385	24	.	.	PUNCT
ejpam-6042	385	25	h	h	PROPN
ejpam-6042	385	26	method	method	NOUN
ejpam-6042	385	27	mgte	mgte	PROPN
ejpam-6042	385	28	nfe	nfe	PROPN
ejpam-6042	385	29	time(s	time(s	NOUN
ejpam-6042	385	30	)	)	PUNCT
ejpam-6042	385	31	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	385	32	)	)	PUNCT
ejpam-6042	386	1	4.256602(-21	4.256602(-21	X
ejpam-6042	386	2	)	)	PUNCT
ejpam-6042	386	3	3000	3000	NUM
ejpam-6042	386	4	1.194	1.194	NUM
ejpam-6042	386	5	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	386	6	1.213163(-16	1.213163(-16	NUM
ejpam-6042	386	7	)	)	PUNCT
ejpam-6042	386	8	3000	3000	NUM
ejpam-6042	386	9	1.126	1.126	NUM
ejpam-6042	386	10	0.1	0.1	NUM
ejpam-6042	386	11	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	386	12	)	)	PUNCT
ejpam-6042	386	13	3.294553(-7	3.294553(-7	NUM
ejpam-6042	386	14	)	)	PUNCT
ejpam-6042	386	15	3000	3000	NUM
ejpam-6042	386	16	1.167	1.167	NUM
ejpam-6042	386	17	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	386	18	-	-	PUNCT
ejpam-6042	386	19	6er	6er	NOUN
ejpam-6042	386	20	1.998695(-14	1.998695(-14	NUM
ejpam-6042	386	21	)	)	PUNCT
ejpam-6042	387	1	6000	6000	NUM
ejpam-6042	387	2	1.296	1.296	NUM
ejpam-6042	387	3	tfirkn5	tfirkn5	NOUN
ejpam-6042	387	4	3.907366(-6	3.907366(-6	NUM
ejpam-6042	387	5	)	)	PUNCT
ejpam-6042	387	6	8000	8000	NUM
ejpam-6042	387	7	1.202	1.202	NUM
ejpam-6042	387	8	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	387	9	)	)	PUNCT
ejpam-6042	387	10	6.479610(-26	6.479610(-26	NOUN
ejpam-6042	387	11	)	)	PUNCT
ejpam-6042	387	12	6000	6000	NUM
ejpam-6042	387	13	2.293	2.293	NUM
ejpam-6042	387	14	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	387	15	1.184842(-19	1.184842(-19	NUM
ejpam-6042	387	16	)	)	PUNCT
ejpam-6042	387	17	6000	6000	NUM
ejpam-6042	387	18	2.369	2.369	NUM
ejpam-6042	387	19	0.05	0.05	NUM
ejpam-6042	387	20	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	387	21	)	)	PUNCT
ejpam-6042	387	22	1.029791(-8	1.029791(-8	NUM
ejpam-6042	387	23	)	)	PUNCT
ejpam-6042	387	24	6000	6000	NUM
ejpam-6042	387	25	2.433	2.433	NUM
ejpam-6042	387	26	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	387	27	-	-	PUNCT
ejpam-6042	387	28	6er	6er	NOUN
ejpam-6042	387	29	1.175856(-16	1.175856(-16	NOUN
ejpam-6042	387	30	)	)	PUNCT
ejpam-6042	387	31	12000	12000	NUM
ejpam-6042	387	32	2.609	2.609	NUM
ejpam-6042	387	33	tfirkn5	tfirkn5	NOUN
ejpam-6042	387	34	1.213642(-7	1.213642(-7	NUM
ejpam-6042	387	35	)	)	PUNCT
ejpam-6042	387	36	16000	16000	NUM
ejpam-6042	387	37	2.288	2.288	NUM
ejpam-6042	387	38	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	387	39	)	)	PUNCT
ejpam-6042	387	40	9.881954(-31	9.881954(-31	NOUN
ejpam-6042	387	41	)	)	PUNCT
ejpam-6042	387	42	12000	12000	NUM
ejpam-6042	387	43	4.717	4.717	NUM
ejpam-6042	387	44	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	387	45	1.156993(-22	1.156993(-22	NUM
ejpam-6042	387	46	)	)	PUNCT
ejpam-6042	387	47	12000	12000	NUM
ejpam-6042	387	48	4.636	4.636	NUM
ejpam-6042	387	49	0.025	0.025	NUM
ejpam-6042	387	50	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	387	51	)	)	PUNCT
ejpam-6042	387	52	3.217851(-10	3.217851(-10	NUM
ejpam-6042	387	53	)	)	PUNCT
ejpam-6042	387	54	12000	12000	NUM
ejpam-6042	387	55	4.643	4.643	NUM
ejpam-6042	387	56	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	387	57	-	-	PUNCT
ejpam-6042	387	58	6er	6er	NOUN
ejpam-6042	387	59	1.187549(-18	1.187549(-18	NUM
ejpam-6042	387	60	)	)	PUNCT
ejpam-6042	387	61	24000	24000	NUM
ejpam-6042	387	62	5.514	5.514	NUM
ejpam-6042	387	63	tfirkn5	tfirkn5	NOUN
ejpam-6042	387	64	3.787327(-9	3.787327(-9	NUM
ejpam-6042	387	65	)	)	PUNCT
ejpam-6042	387	66	32000	32000	NUM
ejpam-6042	387	67	4.811	4.811	NUM
ejpam-6042	387	68	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	387	69	)	)	PUNCT
ejpam-6042	387	70	1.507622(-35	1.507622(-35	NOUN
ejpam-6042	387	71	)	)	PUNCT
ejpam-6042	387	72	24000	24000	NUM
ejpam-6042	387	73	9.141	9.141	NUM
ejpam-6042	387	74	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	387	75	1.129826(-25	1.129826(-25	NOUN
ejpam-6042	387	76	)	)	PUNCT
ejpam-6042	387	77	24000	24000	NUM
ejpam-6042	387	78	9.395	9.395	NUM
ejpam-6042	387	79	0.0125	0.0125	NUM
ejpam-6042	387	80	stdrkn5(3	stdrkn5(3	PROPN
ejpam-6042	387	81	)	)	PUNCT
ejpam-6042	387	82	1.005527(-11	1.005527(-11	NUM
ejpam-6042	387	83	)	)	PUNCT
ejpam-6042	387	84	24000	24000	NUM
ejpam-6042	387	85	8.970	8.970	NUM
ejpam-6042	387	86	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	387	87	-	-	PUNCT
ejpam-6042	387	88	6er	6er	NOUN
ejpam-6042	387	89	1.701612(-20	1.701612(-20	NUM
ejpam-6042	387	90	)	)	PUNCT
ejpam-6042	387	91	48000	48000	NUM
ejpam-6042	388	1	10.141	10.141	NUM
ejpam-6042	388	2	tfirkn5	tfirkn5	NOUN
ejpam-6042	388	3	1.183191(-10	1.183191(-10	NUM
ejpam-6042	388	4	)	)	PUNCT
ejpam-6042	388	5	64000	64000	NUM
ejpam-6042	388	6	9.670	9.670	NUM
ejpam-6042	388	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	388	8	)	)	PUNCT
ejpam-6042	388	9	2.300318(-40	2.300318(-40	ADJ
ejpam-6042	388	10	)	)	PUNCT
ejpam-6042	388	11	48000	48000	NUM
ejpam-6042	388	12	18.993	18.993	NUM
ejpam-6042	388	13	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	388	14	1.103319(-28	1.103319(-28	NUM
ejpam-6042	388	15	)	)	PUNCT
ejpam-6042	388	16	48000	48000	NUM
ejpam-6042	388	17	18.874	18.874	NUM
ejpam-6042	388	18	0.00625	0.00625	NUM
ejpam-6042	388	19	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	388	20	)	)	PUNCT
ejpam-6042	388	21	3.142220(-13	3.142220(-13	NUM
ejpam-6042	388	22	)	)	PUNCT
ejpam-6042	388	23	48000	48000	NUM
ejpam-6042	388	24	18.869	18.869	NUM
ejpam-6042	388	25	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	388	26	-	-	PUNCT
ejpam-6042	388	27	6er	6er	NOUN
ejpam-6042	388	28	2.679244(-22	2.679244(-22	NOUN
ejpam-6042	388	29	)	)	PUNCT
ejpam-6042	388	30	96000	96000	NUM
ejpam-6042	388	31	20.045	20.045	NUM
ejpam-6042	388	32	tfirkn5	tfirkn5	NOUN
ejpam-6042	388	33	3.697447(-12	3.697447(-12	NOUN
ejpam-6042	388	34	)	)	PUNCT
ejpam-6042	388	35	128000	128000	NUM
ejpam-6042	388	36	19.941	19.941	NUM
ejpam-6042	388	37	z.	z.	PROPN
ejpam-6042	388	38	sun	sun	PROPN
ejpam-6042	388	39	et	et	PROPN
ejpam-6042	388	40	al	al	PROPN
ejpam-6042	388	41	.	.	PUNCT
ejpam-6042	388	42	/	/	SYM
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ejpam-6042	388	44	.	.	PUNCT
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ejpam-6042	389	2	pure	pure	PROPN
ejpam-6042	389	3	appl	appl	PROPN
ejpam-6042	389	4	.	.	PROPN
ejpam-6042	389	5	math	math	PROPN
ejpam-6042	389	6	,	,	PUNCT
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ejpam-6042	389	8	(	(	PUNCT
ejpam-6042	389	9	4	4	NUM
ejpam-6042	389	10	)	)	PUNCT
ejpam-6042	389	11	(	(	PUNCT
ejpam-6042	389	12	2025	2025	NUM
ejpam-6042	389	13	)	)	PUNCT
ejpam-6042	389	14	,	,	PUNCT
ejpam-6042	389	15	6042	6042	NUM
ejpam-6042	389	16	25	25	NUM
ejpam-6042	389	17	of	of	ADP
ejpam-6042	389	18	45	45	NUM
ejpam-6042	389	19	table	table	NOUN
ejpam-6042	389	20	8	8	NUM
ejpam-6042	389	21	:	:	PUNCT
ejpam-6042	389	22	experiment	experiment	NOUN
ejpam-6042	389	23	4	4	NUM
ejpam-6042	389	24	.	.	PUNCT
ejpam-6042	390	1	h	h	PROPN
ejpam-6042	390	2	method	method	NOUN
ejpam-6042	390	3	mgte	mgte	PROPN
ejpam-6042	390	4	nfe	nfe	PROPN
ejpam-6042	390	5	time(s	time(s	NOUN
ejpam-6042	390	6	)	)	PUNCT
ejpam-6042	390	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	390	8	)	)	PUNCT
ejpam-6042	390	9	8.759277(-21	8.759277(-21	NUM
ejpam-6042	390	10	)	)	PUNCT
ejpam-6042	390	11	6000	6000	NUM
ejpam-6042	390	12	0.349	0.349	NUM
ejpam-6042	390	13	tftdrkn3s5	tftdrkn3s5	X
ejpam-6042	390	14	2.498800(-16	2.498800(-16	NOUN
ejpam-6042	390	15	)	)	PUNCT
ejpam-6042	390	16	6000	6000	NUM
ejpam-6042	390	17	0.403	0.403	NUM
ejpam-6042	390	18	0.1	0.1	NUM
ejpam-6042	390	19	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	390	20	)	)	PUNCT
ejpam-6042	390	21	7.048727(-7	7.048727(-7	NUM
ejpam-6042	390	22	)	)	PUNCT
ejpam-6042	390	23	6000	6000	NUM
ejpam-6042	390	24	0.387	0.387	NUM
ejpam-6042	390	25	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	390	26	-	-	PUNCT
ejpam-6042	390	27	6er	6er	NOUN
ejpam-6042	390	28	7.562986(-14	7.562986(-14	NUM
ejpam-6042	390	29	)	)	PUNCT
ejpam-6042	390	30	12000	12000	NUM
ejpam-6042	390	31	0.594	0.594	NUM
ejpam-6042	390	32	tfirkn5	tfirkn5	NOUN
ejpam-6042	390	33	8.102380(-6	8.102380(-6	NUM
ejpam-6042	390	34	)	)	PUNCT
ejpam-6042	390	35	16000	16000	NUM
ejpam-6042	390	36	0.504	0.504	NUM
ejpam-6042	390	37	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	390	38	)	)	PUNCT
ejpam-6042	390	39	1.334936(-25	1.334936(-25	NOUN
ejpam-6042	390	40	)	)	PUNCT
ejpam-6042	390	41	12000	12000	NUM
ejpam-6042	390	42	0.829	0.829	NUM
ejpam-6042	390	43	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	390	44	2.440855(-19	2.440855(-19	NOUN
ejpam-6042	390	45	)	)	PUNCT
ejpam-6042	390	46	12000	12000	NUM
ejpam-6042	390	47	0.922	0.922	NUM
ejpam-6042	390	48	0.05	0.05	NUM
ejpam-6042	390	49	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	390	50	)	)	PUNCT
ejpam-6042	390	51	2.202624(-8	2.202624(-8	NUM
ejpam-6042	390	52	)	)	PUNCT
ejpam-6042	390	53	12000	12000	NUM
ejpam-6042	390	54	1.075	1.075	NUM
ejpam-6042	390	55	pfafrkn6	pfafrkn6	PROPN
ejpam-6042	390	56	-	-	PUNCT
ejpam-6042	390	57	6er	6er	NOUN
ejpam-6042	390	58	4.602406(-16	4.602406(-16	NOUN
ejpam-6042	390	59	)	)	PUNCT
ejpam-6042	390	60	24000	24000	NUM
ejpam-6042	390	61	1.146	1.146	NUM
ejpam-6042	390	62	tfirkn5	tfirkn5	NOUN
ejpam-6042	390	63	2.514992(-7	2.514992(-7	NUM
ejpam-6042	390	64	)	)	PUNCT
ejpam-6042	390	65	32000	32000	NUM
ejpam-6042	390	66	0.951	0.951	NUM
ejpam-6042	390	67	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	390	68	)	)	PUNCT
ejpam-6042	390	69	2.036323(-30	2.036323(-30	NOUN
ejpam-6042	390	70	)	)	PUNCT
ejpam-6042	390	71	24000	24000	NUM
ejpam-6042	390	72	1.611	1.611	NUM
ejpam-6042	390	73	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	390	74	2.384085(-22	2.384085(-22	NUM
ejpam-6042	390	75	)	)	PUNCT
ejpam-6042	390	76	24000	24000	NUM
ejpam-6042	390	77	1.700	1.700	NUM
ejpam-6042	390	78	0.025	0.025	NUM
ejpam-6042	390	79	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	390	80	)	)	PUNCT
ejpam-6042	390	81	6.882515(-10	6.882515(-10	NOUN
ejpam-6042	390	82	)	)	PUNCT
ejpam-6042	390	83	24000	24000	NUM
ejpam-6042	390	84	1.937	1.937	NUM
ejpam-6042	390	85	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	390	86	-	-	PUNCT
ejpam-6042	390	87	6er	6er	NOUN
ejpam-6042	390	88	4.373250(-18	4.373250(-18	NOUN
ejpam-6042	390	89	)	)	PUNCT
ejpam-6042	390	90	48000	48000	NUM
ejpam-6042	390	91	2.187	2.187	NUM
ejpam-6042	390	92	tfirkn5	tfirkn5	NOUN
ejpam-6042	390	93	7.849286(-9	7.849286(-9	NUM
ejpam-6042	390	94	)	)	PUNCT
ejpam-6042	390	95	64000	64000	NUM
ejpam-6042	390	96	2.040	2.040	NUM
ejpam-6042	390	97	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	390	98	)	)	PUNCT
ejpam-6042	390	99	3.106811(-35	3.106811(-35	ADJ
ejpam-6042	390	100	)	)	PUNCT
ejpam-6042	390	101	48000	48000	NUM
ejpam-6042	390	102	3.079	3.079	NUM
ejpam-6042	390	103	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	390	104	2.328292(-25	2.328292(-25	NUM
ejpam-6042	390	105	)	)	PUNCT
ejpam-6042	390	106	48000	48000	NUM
ejpam-6042	390	107	3.517	3.517	NUM
ejpam-6042	390	108	0.0125	0.0125	NUM
ejpam-6042	390	109	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	390	110	)	)	PUNCT
ejpam-6042	390	111	2.150783(-11	2.150783(-11	NUM
ejpam-6042	390	112	)	)	PUNCT
ejpam-6042	390	113	48000	48000	NUM
ejpam-6042	390	114	3.398	3.398	NUM
ejpam-6042	390	115	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	390	116	-	-	PUNCT
ejpam-6042	390	117	6er	6er	NOUN
ejpam-6042	390	118	5.732428(-20	5.732428(-20	NOUN
ejpam-6042	390	119	)	)	PUNCT
ejpam-6042	390	120	96000	96000	NUM
ejpam-6042	391	1	4.433	4.433	NUM
ejpam-6042	391	2	tfirkn5	tfirkn5	NOUN
ejpam-6042	391	3	2.452453(-10	2.452453(-10	NUM
ejpam-6042	391	4	)	)	PUNCT
ejpam-6042	391	5	128000	128000	NUM
ejpam-6042	391	6	4.163	4.163	NUM
ejpam-6042	391	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	391	8	)	)	PUNCT
ejpam-6042	391	9	4.740479(-40	4.740479(-40	NOUN
ejpam-6042	391	10	)	)	PUNCT
ejpam-6042	391	11	96000	96000	NUM
ejpam-6042	391	12	6.506	6.506	NUM
ejpam-6042	391	13	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	391	14	2.273722(-28	2.273722(-28	NUM
ejpam-6042	391	15	)	)	PUNCT
ejpam-6042	391	16	96000	96000	NUM
ejpam-6042	391	17	6.956	6.956	NUM
ejpam-6042	391	18	0.00625	0.00625	NUM
ejpam-6042	391	19	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	391	20	)	)	PUNCT
ejpam-6042	391	21	6.721108(-13	6.721108(-13	NOUN
ejpam-6042	391	22	)	)	PUNCT
ejpam-6042	391	23	96000	96000	NUM
ejpam-6042	391	24	6.572	6.572	NUM
ejpam-6042	391	25	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	391	26	-	-	PUNCT
ejpam-6042	391	27	6er	6er	NOUN
ejpam-6042	391	28	8.526926(-22	8.526926(-22	NOUN
ejpam-6042	391	29	)	)	PUNCT
ejpam-6042	391	30	192000	192000	NUM
ejpam-6042	391	31	9.334	9.334	NUM
ejpam-6042	391	32	tfirkn5	tfirkn5	NOUN
ejpam-6042	391	33	7.664112(-12	7.664112(-12	NOUN
ejpam-6042	391	34	)	)	PUNCT
ejpam-6042	391	35	256000	256000	NUM
ejpam-6042	391	36	8.725	8.725	NUM
ejpam-6042	391	37	z.	z.	PROPN
ejpam-6042	391	38	sun	sun	PROPN
ejpam-6042	391	39	et	et	PROPN
ejpam-6042	391	40	al	al	PROPN
ejpam-6042	391	41	.	.	PUNCT
ejpam-6042	391	42	/	/	SYM
ejpam-6042	391	43	eur	eur	PROPN
ejpam-6042	391	44	.	.	PUNCT
ejpam-6042	392	1	j.	j.	PROPN
ejpam-6042	392	2	pure	pure	PROPN
ejpam-6042	392	3	appl	appl	PROPN
ejpam-6042	392	4	.	.	PROPN
ejpam-6042	392	5	math	math	PROPN
ejpam-6042	392	6	,	,	PUNCT
ejpam-6042	392	7	18	18	NUM
ejpam-6042	392	8	(	(	PUNCT
ejpam-6042	392	9	4	4	NUM
ejpam-6042	392	10	)	)	PUNCT
ejpam-6042	392	11	(	(	PUNCT
ejpam-6042	392	12	2025	2025	NUM
ejpam-6042	392	13	)	)	PUNCT
ejpam-6042	392	14	,	,	PUNCT
ejpam-6042	392	15	6042	6042	NUM
ejpam-6042	392	16	26	26	NUM
ejpam-6042	392	17	of	of	ADP
ejpam-6042	392	18	45	45	NUM
ejpam-6042	392	19	table	table	NOUN
ejpam-6042	392	20	9	9	NUM
ejpam-6042	392	21	:	:	PUNCT
ejpam-6042	392	22	experiment	experiment	NOUN
ejpam-6042	392	23	5	5	NUM
ejpam-6042	392	24	.	.	PUNCT
ejpam-6042	393	1	h	h	PROPN
ejpam-6042	393	2	method	method	NOUN
ejpam-6042	393	3	mgte	mgte	PROPN
ejpam-6042	393	4	nfe	nfe	PROPN
ejpam-6042	393	5	time(s	time(s	NOUN
ejpam-6042	393	6	)	)	PUNCT
ejpam-6042	393	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	393	8	)	)	PUNCT
ejpam-6042	393	9	4.622706(-11	4.622706(-11	NUM
ejpam-6042	393	10	)	)	PUNCT
ejpam-6042	393	11	6000	6000	NUM
ejpam-6042	393	12	0.366	0.366	NUM
ejpam-6042	393	13	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	393	14	3.732735(-10	3.732735(-10	NUM
ejpam-6042	393	15	)	)	PUNCT
ejpam-6042	393	16	6000	6000	NUM
ejpam-6042	393	17	0.378	0.378	NUM
ejpam-6042	393	18	0.1	0.1	NUM
ejpam-6042	393	19	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	393	20	)	)	PUNCT
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ejpam-6042	393	22	)	)	PUNCT
ejpam-6042	393	23	6000	6000	NUM
ejpam-6042	394	1	0.449	0.449	NUM
ejpam-6042	394	2	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	394	3	-	-	PUNCT
ejpam-6042	394	4	6er	6er	NOUN
ejpam-6042	394	5	1.599813(-9	1.599813(-9	NUM
ejpam-6042	394	6	)	)	PUNCT
ejpam-6042	394	7	12000	12000	NUM
ejpam-6042	394	8	0.514	0.514	NUM
ejpam-6042	394	9	tfirkn5	tfirkn5	NOUN
ejpam-6042	394	10	1.614405(-2	1.614405(-2	NUM
ejpam-6042	394	11	)	)	PUNCT
ejpam-6042	394	12	16000	16000	NUM
ejpam-6042	394	13	0.450	0.450	NUM
ejpam-6042	394	14	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	394	15	)	)	PUNCT
ejpam-6042	394	16	6.864049(-16	6.864049(-16	NOUN
ejpam-6042	394	17	)	)	PUNCT
ejpam-6042	394	18	12000	12000	NUM
ejpam-6042	394	19	0.725	0.725	NUM
ejpam-6042	394	20	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	394	21	3.684791(-13	3.684791(-13	NUM
ejpam-6042	394	22	)	)	PUNCT
ejpam-6042	394	23	12000	12000	NUM
ejpam-6042	394	24	0.789	0.789	NUM
ejpam-6042	394	25	0.05	0.05	NUM
ejpam-6042	394	26	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	394	27	)	)	PUNCT
ejpam-6042	394	28	3.769888(-5	3.769888(-5	NUM
ejpam-6042	394	29	)	)	PUNCT
ejpam-6042	394	30	12000	12000	NUM
ejpam-6042	394	31	0.894	0.894	NUM
ejpam-6042	394	32	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	394	33	-	-	PUNCT
ejpam-6042	394	34	6er	6er	NOUN
ejpam-6042	394	35	6.523295(-12	6.523295(-12	NOUN
ejpam-6042	394	36	)	)	PUNCT
ejpam-6042	394	37	24000	24000	NUM
ejpam-6042	394	38	1.134	1.134	NUM
ejpam-6042	394	39	tfirkn5	tfirkn5	NOUN
ejpam-6042	394	40	4.568589(-4	4.568589(-4	X
ejpam-6042	394	41	)	)	PUNCT
ejpam-6042	394	42	32000	32000	NUM
ejpam-6042	394	43	1.355	1.355	NUM
ejpam-6042	394	44	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	394	45	)	)	PUNCT
ejpam-6042	394	46	1.039558(-20	1.039558(-20	NUM
ejpam-6042	394	47	)	)	PUNCT
ejpam-6042	394	48	24000	24000	NUM
ejpam-6042	394	49	1.416	1.416	NUM
ejpam-6042	394	50	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	394	51	3.597012(-16	3.597012(-16	NUM
ejpam-6042	394	52	)	)	PUNCT
ejpam-6042	394	53	24000	24000	NUM
ejpam-6042	394	54	1.495	1.495	NUM
ejpam-6042	394	55	0.025	0.025	NUM
ejpam-6042	394	56	stdrkn5(3	stdrkn5(3	NUM
ejpam-6042	394	57	)	)	PUNCT
ejpam-6042	394	58	1.177672(-6	1.177672(-6	NUM
ejpam-6042	394	59	)	)	PUNCT
ejpam-6042	394	60	24000	24000	NUM
ejpam-6042	394	61	1.769	1.769	NUM
ejpam-6042	394	62	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	394	63	-	-	PUNCT
ejpam-6042	394	64	6er	6er	NOUN
ejpam-6042	394	65	2.986460(-14	2.986460(-14	NUM
ejpam-6042	394	66	)	)	PUNCT
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ejpam-6042	394	69	tfirkn5	tfirkn5	NOUN
ejpam-6042	394	70	1.388403(-5	1.388403(-5	NUM
ejpam-6042	394	71	)	)	PUNCT
ejpam-6042	394	72	64000	64000	NUM
ejpam-6042	394	73	1.829	1.829	NUM
ejpam-6042	394	74	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	394	75	)	)	PUNCT
ejpam-6042	394	76	1.582759(-25	1.582759(-25	NOUN
ejpam-6042	394	77	)	)	PUNCT
ejpam-6042	394	78	48000	48000	NUM
ejpam-6042	394	79	2.941	2.941	NUM
ejpam-6042	394	80	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	394	81	3.512880(-19	3.512880(-19	NUM
ejpam-6042	394	82	)	)	PUNCT
ejpam-6042	394	83	48000	48000	NUM
ejpam-6042	394	84	3.156	3.156	NUM
ejpam-6042	394	85	0.0125	0.0125	NUM
ejpam-6042	394	86	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	394	87	)	)	PUNCT
ejpam-6042	394	88	3.680162(-8	3.680162(-8	NUM
ejpam-6042	394	89	)	)	PUNCT
ejpam-6042	394	90	48000	48000	NUM
ejpam-6042	394	91	3.282	3.282	NUM
ejpam-6042	394	92	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	394	93	-	-	PUNCT
ejpam-6042	394	94	6er	6er	NOUN
ejpam-6042	394	95	1.852287(-16	1.852287(-16	NUM
ejpam-6042	394	96	)	)	PUNCT
ejpam-6042	394	97	96000	96000	NUM
ejpam-6042	394	98	4.082	4.082	NUM
ejpam-6042	394	99	tfirkn5	tfirkn5	NOUN
ejpam-6042	394	100	4.308162(-7	4.308162(-7	NUM
ejpam-6042	394	101	)	)	PUNCT
ejpam-6042	394	102	128000	128000	NUM
ejpam-6042	394	103	3.997	3.997	NUM
ejpam-6042	394	104	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	394	105	)	)	PUNCT
ejpam-6042	394	106	2.414464(-30	2.414464(-30	NUM
ejpam-6042	394	107	)	)	PUNCT
ejpam-6042	394	108	96000	96000	NUM
ejpam-6042	394	109	6.112	6.112	NUM
ejpam-6042	394	110	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	394	111	3.430763(-22	3.430763(-22	NUM
ejpam-6042	394	112	)	)	PUNCT
ejpam-6042	394	113	96000	96000	NUM
ejpam-6042	394	114	6.285	6.285	NUM
ejpam-6042	394	115	0.00625	0.00625	NUM
ejpam-6042	394	116	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	394	117	)	)	PUNCT
ejpam-6042	394	118	1.149993(-9	1.149993(-9	NUM
ejpam-6042	394	119	)	)	PUNCT
ejpam-6042	394	120	96000	96000	NUM
ejpam-6042	394	121	6.428	6.428	NUM
ejpam-6042	394	122	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	394	123	-	-	PUNCT
ejpam-6042	394	124	6er	6er	NOUN
ejpam-6042	394	125	1.795039(-18	1.795039(-18	NUM
ejpam-6042	394	126	)	)	PUNCT
ejpam-6042	394	127	192000	192000	NUM
ejpam-6042	394	128	8.336	8.336	NUM
ejpam-6042	394	129	tfirkn5	tfirkn5	NOUN
ejpam-6042	394	130	1.344022(-8	1.344022(-8	NUM
ejpam-6042	394	131	)	)	PUNCT
ejpam-6042	394	132	256000	256000	NUM
ejpam-6042	394	133	7.670	7.670	NUM
ejpam-6042	394	134	z.	z.	PROPN
ejpam-6042	394	135	sun	sun	PROPN
ejpam-6042	394	136	et	et	PROPN
ejpam-6042	394	137	al	al	PROPN
ejpam-6042	394	138	.	.	PUNCT
ejpam-6042	394	139	/	/	SYM
ejpam-6042	394	140	eur	eur	PROPN
ejpam-6042	394	141	.	.	PUNCT
ejpam-6042	395	1	j.	j.	PROPN
ejpam-6042	395	2	pure	pure	PROPN
ejpam-6042	395	3	appl	appl	PROPN
ejpam-6042	395	4	.	.	PROPN
ejpam-6042	395	5	math	math	PROPN
ejpam-6042	395	6	,	,	PUNCT
ejpam-6042	395	7	18	18	NUM
ejpam-6042	395	8	(	(	PUNCT
ejpam-6042	395	9	4	4	NUM
ejpam-6042	395	10	)	)	PUNCT
ejpam-6042	395	11	(	(	PUNCT
ejpam-6042	395	12	2025	2025	NUM
ejpam-6042	395	13	)	)	PUNCT
ejpam-6042	395	14	,	,	PUNCT
ejpam-6042	395	15	6042	6042	NUM
ejpam-6042	395	16	27	27	NUM
ejpam-6042	395	17	of	of	ADP
ejpam-6042	395	18	45	45	NUM
ejpam-6042	395	19	table	table	NOUN
ejpam-6042	395	20	10	10	NUM
ejpam-6042	395	21	:	:	PUNCT
ejpam-6042	395	22	experiment	experiment	NOUN
ejpam-6042	395	23	6	6	NUM
ejpam-6042	395	24	h	h	NOUN
ejpam-6042	395	25	method	method	NOUN
ejpam-6042	395	26	mgte	mgte	PROPN
ejpam-6042	395	27	nfe	nfe	PROPN
ejpam-6042	395	28	time(s	time(s	NOUN
ejpam-6042	395	29	)	)	PUNCT
ejpam-6042	395	30	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	395	31	)	)	PUNCT
ejpam-6042	396	1	5.677404(-8	5.677404(-8	NUM
ejpam-6042	396	2	)	)	PUNCT
ejpam-6042	397	1	300	300	NUM
ejpam-6042	397	2	0.015	0.015	NUM
ejpam-6042	397	3	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	397	4	7.829360(-9	7.829360(-9	ADJ
ejpam-6042	397	5	)	)	PUNCT
ejpam-6042	397	6	300	300	NUM
ejpam-6042	397	7	0.018	0.018	NUM
ejpam-6042	397	8	0.1	0.1	NUM
ejpam-6042	397	9	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	397	10	)	)	PUNCT
ejpam-6042	397	11	8.618116(-8	8.618116(-8	NUM
ejpam-6042	397	12	)	)	PUNCT
ejpam-6042	397	13	300	300	NUM
ejpam-6042	397	14	0.020	0.020	NUM
ejpam-6042	397	15	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	397	16	-	-	PUNCT
ejpam-6042	397	17	6er	6er	NOUN
ejpam-6042	397	18	3.727733(-12	3.727733(-12	NOUN
ejpam-6042	397	19	)	)	PUNCT
ejpam-6042	397	20	600	600	NUM
ejpam-6042	397	21	0.074	0.074	NUM
ejpam-6042	397	22	tfirkn5	tfirkn5	NOUN
ejpam-6042	397	23	1.424941(-1	1.424941(-1	NUM
ejpam-6042	397	24	)	)	PUNCT
ejpam-6042	397	25	800	800	NUM
ejpam-6042	397	26	0.023	0.023	NUM
ejpam-6042	397	27	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	397	28	)	)	PUNCT
ejpam-6042	398	1	1.717588(-9	1.717588(-9	NUM
ejpam-6042	398	2	)	)	PUNCT
ejpam-6042	398	3	600	600	NUM
ejpam-6042	398	4	0.037	0.037	NUM
ejpam-6042	398	5	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	398	6	2.441104(-10	2.441104(-10	NOUN
ejpam-6042	398	7	)	)	PUNCT
ejpam-6042	398	8	600	600	NUM
ejpam-6042	398	9	0.039	0.039	NUM
ejpam-6042	398	10	0.05	0.05	NUM
ejpam-6042	398	11	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	398	12	)	)	PUNCT
ejpam-6042	398	13	2.677502(-9	2.677502(-9	NUM
ejpam-6042	398	14	)	)	PUNCT
ejpam-6042	398	15	600	600	NUM
ejpam-6042	398	16	0.084	0.084	NUM
ejpam-6042	398	17	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	398	18	-	-	PUNCT
ejpam-6042	398	19	6er	6er	NOUN
ejpam-6042	398	20	2.800499(-14	2.800499(-14	NUM
ejpam-6042	398	21	)	)	PUNCT
ejpam-6042	398	22	1200	1200	NUM
ejpam-6042	398	23	0.105	0.105	NUM
ejpam-6042	398	24	tfirkn5	tfirkn5	NOUN
ejpam-6042	399	1	7.075647(-2	7.075647(-2	X
ejpam-6042	399	2	)	)	PUNCT
ejpam-6042	399	3	1600	1600	NUM
ejpam-6042	399	4	0.047	0.047	NUM
ejpam-6042	399	5	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	399	6	)	)	PUNCT
ejpam-6042	399	7	5.289724(-11	5.289724(-11	NUM
ejpam-6042	399	8	)	)	PUNCT
ejpam-6042	399	9	1200	1200	NUM
ejpam-6042	399	10	0.088	0.088	NUM
ejpam-6042	399	11	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	399	12	7.621687(-12	7.621687(-12	NOUN
ejpam-6042	399	13	)	)	PUNCT
ejpam-6042	399	14	1200	1200	NUM
ejpam-6042	399	15	0.074	0.074	NUM
ejpam-6042	399	16	0.025	0.025	NUM
ejpam-6042	399	17	stdrkn5(3	stdrkn5(3	NUM
ejpam-6042	399	18	)	)	PUNCT
ejpam-6042	399	19	8.348074(-11	8.348074(-11	NUM
ejpam-6042	399	20	)	)	PUNCT
ejpam-6042	399	21	1200	1200	NUM
ejpam-6042	399	22	0.121	0.121	NUM
ejpam-6042	399	23	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	399	24	-	-	PUNCT
ejpam-6042	399	25	6er	6er	NOUN
ejpam-6042	399	26	6.531133(-16	6.531133(-16	NOUN
ejpam-6042	399	27	)	)	PUNCT
ejpam-6042	399	28	2400	2400	NUM
ejpam-6042	400	1	0.148	0.148	NUM
ejpam-6042	400	2	tfirkn5	tfirkn5	NOUN
ejpam-6042	401	1	3.528249(-2	3.528249(-2	X
ejpam-6042	401	2	)	)	PUNCT
ejpam-6042	401	3	3200	3200	NUM
ejpam-6042	401	4	0.135	0.135	NUM
ejpam-6042	401	5	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	401	6	)	)	PUNCT
ejpam-6042	401	7	1.641778(-12	1.641778(-12	NOUN
ejpam-6042	401	8	)	)	PUNCT
ejpam-6042	401	9	2400	2400	NUM
ejpam-6042	401	10	0.134	0.134	NUM
ejpam-6042	401	11	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	401	12	2.380660(-13	2.380660(-13	NUM
ejpam-6042	401	13	)	)	PUNCT
ejpam-6042	401	14	2400	2400	NUM
ejpam-6042	401	15	0.167	0.167	NUM
ejpam-6042	401	16	0.0125	0.0125	NUM
ejpam-6042	401	17	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	401	18	)	)	PUNCT
ejpam-6042	401	19	2.605529(-12	2.605529(-12	NOUN
ejpam-6042	401	20	)	)	PUNCT
ejpam-6042	401	21	2400	2400	NUM
ejpam-6042	401	22	0.208	0.208	NUM
ejpam-6042	401	23	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	401	24	-	-	PUNCT
ejpam-6042	401	25	6er	6er	ADJ
ejpam-6042	401	26	4.074754(-17	4.074754(-17	ADJ
ejpam-6042	401	27	)	)	PUNCT
ejpam-6042	401	28	4800	4800	NUM
ejpam-6042	401	29	0.262	0.262	NUM
ejpam-6042	401	30	tfirkn5	tfirkn5	NOUN
ejpam-6042	401	31	1.759057(-2	1.759057(-2	X
ejpam-6042	401	32	)	)	PUNCT
ejpam-6042	401	33	6400	6400	NUM
ejpam-6042	401	34	0.234	0.234	NUM
ejpam-6042	401	35	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	401	36	)	)	PUNCT
ejpam-6042	401	37	5.113543(-14	5.113543(-14	NUM
ejpam-6042	401	38	)	)	PUNCT
ejpam-6042	401	39	4800	4800	NUM
ejpam-6042	401	40	0.350	0.350	NUM
ejpam-6042	401	41	tftdrkn3s5	tftdrkn3s5	NUM
ejpam-6042	401	42	7.437993(-15	7.437993(-15	NOUN
ejpam-6042	401	43	)	)	PUNCT
ejpam-6042	401	44	4800	4800	NUM
ejpam-6042	401	45	0.394	0.394	NUM
ejpam-6042	402	1	0.00625	0.00625	NUM
ejpam-6042	402	2	stdrkn5(3	stdrkn5(3	NOUN
ejpam-6042	402	3	)	)	PUNCT
ejpam-6042	402	4	8.136990(-14	8.136990(-14	NUM
ejpam-6042	402	5	)	)	PUNCT
ejpam-6042	402	6	4800	4800	NUM
ejpam-6042	402	7	0.376	0.376	NUM
ejpam-6042	402	8	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	402	9	-	-	PUNCT
ejpam-6042	402	10	6er	6er	NOUN
ejpam-6042	402	11	2.546304(-18	2.546304(-18	NUM
ejpam-6042	402	12	)	)	PUNCT
ejpam-6042	402	13	9600	9600	NUM
ejpam-6042	402	14	0.523	0.523	NUM
ejpam-6042	402	15	tfirkn5	tfirkn5	NOUN
ejpam-6042	402	16	8.750423(-3	8.750423(-3	NUM
ejpam-6042	402	17	)	)	PUNCT
ejpam-6042	402	18	12800	12800	NUM
ejpam-6042	402	19	0.382	0.382	NUM
ejpam-6042	402	20	z.	z.	PROPN
ejpam-6042	402	21	sun	sun	PROPN
ejpam-6042	402	22	et	et	PROPN
ejpam-6042	402	23	al	al	PROPN
ejpam-6042	402	24	.	.	PUNCT
ejpam-6042	402	25	/	/	SYM
ejpam-6042	402	26	eur	eur	PROPN
ejpam-6042	402	27	.	.	PUNCT
ejpam-6042	403	1	j.	j.	PROPN
ejpam-6042	403	2	pure	pure	PROPN
ejpam-6042	403	3	appl	appl	PROPN
ejpam-6042	403	4	.	.	PROPN
ejpam-6042	403	5	math	math	PROPN
ejpam-6042	403	6	,	,	PUNCT
ejpam-6042	403	7	18	18	NUM
ejpam-6042	403	8	(	(	PUNCT
ejpam-6042	403	9	4	4	NUM
ejpam-6042	403	10	)	)	PUNCT
ejpam-6042	403	11	(	(	PUNCT
ejpam-6042	403	12	2025	2025	NUM
ejpam-6042	403	13	)	)	PUNCT
ejpam-6042	403	14	,	,	PUNCT
ejpam-6042	403	15	6042	6042	NUM
ejpam-6042	403	16	28	28	NUM
ejpam-6042	403	17	of	of	ADP
ejpam-6042	403	18	45	45	NUM
ejpam-6042	403	19	the	the	DET
ejpam-6042	403	20	following	follow	VERB
ejpam-6042	403	21	tables	table	NOUN
ejpam-6042	403	22	and	and	CCONJ
ejpam-6042	403	23	figures	figure	NOUN
ejpam-6042	403	24	present	present	VERB
ejpam-6042	403	25	the	the	DET
ejpam-6042	403	26	numerical	numerical	ADJ
ejpam-6042	403	27	results	result	NOUN
ejpam-6042	403	28	,	,	PUNCT
ejpam-6042	403	29	each	each	PRON
ejpam-6042	403	30	demonstrating	demonstrate	VERB
ejpam-6042	403	31	the	the	DET
ejpam-6042	403	32	performance	performance	NOUN
ejpam-6042	403	33	of	of	ADP
ejpam-6042	403	34	five	five	NUM
ejpam-6042	403	35	different	different	ADJ
ejpam-6042	403	36	methods	method	NOUN
ejpam-6042	403	37	,	,	PUNCT
ejpam-6042	403	38	with	with	ADP
ejpam-6042	403	39	the	the	DET
ejpam-6042	403	40	exception	exception	NOUN
ejpam-6042	403	41	of	of	ADP
ejpam-6042	403	42	experiment	experiment	NOUN
ejpam-6042	403	43	6.the	6.the	DET
ejpam-6042	403	44	model	model	NOUN
ejpam-6042	403	45	of	of	ADP
ejpam-6042	403	46	computer	computer	NOUN
ejpam-6042	403	47	for	for	ADP
ejpam-6042	403	48	experiments	experiment	NOUN
ejpam-6042	403	49	is	be	AUX
ejpam-6042	403	50	lenovo	lenovo	PROPN
ejpam-6042	403	51	ideapad	ideapad	PROPN
ejpam-6042	403	52	330	330	NUM
ejpam-6042	403	53	intel	intel	PROPN
ejpam-6042	403	54	core	core	NOUN
ejpam-6042	403	55	i5	i5	NOUN
ejpam-6042	403	56	-	-	PUNCT
ejpam-6042	403	57	8050u	8050u	NUM
ejpam-6042	403	58	(	(	PUNCT
ejpam-6042	403	59	1.8ghz	1.8ghz	NUM
ejpam-6042	403	60	)	)	PUNCT
ejpam-6042	403	61	.	.	PUNCT
ejpam-6042	404	1	evidently	evidently	ADV
ejpam-6042	404	2	,	,	PUNCT
ejpam-6042	404	3	for	for	ADP
ejpam-6042	404	4	the	the	DET
ejpam-6042	404	5	mgte	mgte	NOUN
ejpam-6042	404	6	of	of	ADP
ejpam-6042	404	7	the	the	DET
ejpam-6042	404	8	first	first	ADJ
ejpam-6042	404	9	seven	seven	NUM
ejpam-6042	404	10	experiments	experiment	NOUN
ejpam-6042	404	11	,	,	PUNCT
ejpam-6042	404	12	the	the	DET
ejpam-6042	404	13	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	404	14	)	)	PUNCT
ejpam-6042	404	15	method	method	NOUN
ejpam-6042	404	16	significantly	significantly	ADV
ejpam-6042	404	17	outperforms	outperform	VERB
ejpam-6042	404	18	other	other	ADJ
ejpam-6042	404	19	existing	exist	VERB
ejpam-6042	404	20	methods	method	NOUN
ejpam-6042	404	21	.	.	PUNCT
ejpam-6042	405	1	this	this	PRON
ejpam-6042	405	2	is	be	AUX
ejpam-6042	405	3	attributable	attributable	ADJ
ejpam-6042	405	4	not	not	PART
ejpam-6042	405	5	only	only	ADV
ejpam-6042	405	6	to	to	ADP
ejpam-6042	405	7	the	the	DET
ejpam-6042	405	8	incorporation	incorporation	NOUN
ejpam-6042	405	9	of	of	ADP
ejpam-6042	405	10	trigonometrically	trigonometrically	ADV
ejpam-6042	405	11	-	-	PUNCT
ejpam-6042	405	12	fitted	fit	VERB
ejpam-6042	405	13	terms	term	NOUN
ejpam-6042	405	14	,	,	PUNCT
ejpam-6042	405	15	χ̄	χ̄	ADJ
ejpam-6042	405	16	and	and	CCONJ
ejpam-6042	405	17	χ̃	χ̃	PROPN
ejpam-6042	405	18	,	,	PUNCT
ejpam-6042	405	19	but	but	CCONJ
ejpam-6042	405	20	also	also	ADV
ejpam-6042	405	21	to	to	ADP
ejpam-6042	405	22	the	the	DET
ejpam-6042	405	23	application	application	NOUN
ejpam-6042	405	24	of	of	ADP
ejpam-6042	405	25	the	the	DET
ejpam-6042	405	26	trigonometrically	trigonometrically	ADV
ejpam-6042	405	27	-	-	PUNCT
ejpam-6042	405	28	fitting	fit	VERB
ejpam-6042	405	29	technique	technique	NOUN
ejpam-6042	405	30	,	,	PUNCT
ejpam-6042	405	31	as	as	SCONJ
ejpam-6042	405	32	outlined	outline	VERB
ejpam-6042	405	33	in	in	ADP
ejpam-6042	405	34	section	section	NOUN
ejpam-6042	405	35	4	4	NUM
ejpam-6042	405	36	,	,	PUNCT
ejpam-6042	405	37	to	to	ADP
ejpam-6042	405	38	a	a	DET
ejpam-6042	405	39	larger	large	ADJ
ejpam-6042	405	40	set	set	NOUN
ejpam-6042	405	41	of	of	ADP
ejpam-6042	405	42	coefficients	coefficient	NOUN
ejpam-6042	405	43	(	(	PUNCT
ejpam-6042	405	44	compared	compare	VERB
ejpam-6042	405	45	to	to	ADP
ejpam-6042	405	46	conventional	conventional	ADJ
ejpam-6042	405	47	trigonometrically	trigonometrically	ADV
ejpam-6042	405	48	-	-	PUNCT
ejpam-6042	405	49	fitting	fit	VERB
ejpam-6042	405	50	techniques	technique	NOUN
ejpam-6042	405	51	in	in	ADP
ejpam-6042	405	52	existing	exist	VERB
ejpam-6042	405	53	literature	literature	NOUN
ejpam-6042	405	54	)	)	PUNCT
ejpam-6042	405	55	,	,	PUNCT
ejpam-6042	405	56	rendering	render	VERB
ejpam-6042	405	57	them	they	PRON
ejpam-6042	405	58	frequency	frequency	NOUN
ejpam-6042	405	59	-	-	PUNCT
ejpam-6042	405	60	dependent	dependent	ADJ
ejpam-6042	405	61	due	due	ADP
ejpam-6042	405	62	to	to	ADP
ejpam-6042	405	63	the	the	DET
ejpam-6042	405	64	inclusion	inclusion	NOUN
ejpam-6042	405	65	of	of	ADP
ejpam-6042	405	66	these	these	DET
ejpam-6042	405	67	terms	term	NOUN
ejpam-6042	405	68	.	.	PUNCT
ejpam-6042	406	1	furthermore	furthermore	ADV
ejpam-6042	406	2	,	,	PUNCT
ejpam-6042	406	3	our	our	PRON
ejpam-6042	406	4	proposed	propose	VERB
ejpam-6042	406	5	method	method	NOUN
ejpam-6042	406	6	is	be	AUX
ejpam-6042	406	7	specifically	specifically	ADV
ejpam-6042	406	8	tailored	tailor	VERB
ejpam-6042	406	9	for	for	ADP
ejpam-6042	406	10	solving	solve	VERB
ejpam-6042	406	11	special	special	ADJ
ejpam-6042	406	12	second	second	ADJ
ejpam-6042	406	13	-	-	PUNCT
ejpam-6042	406	14	order	order	NOUN
ejpam-6042	406	15	odes	ode	NOUN
ejpam-6042	406	16	with	with	ADP
ejpam-6042	406	17	periodic	periodic	ADJ
ejpam-6042	406	18	solutions	solution	NOUN
ejpam-6042	406	19	like	like	ADP
ejpam-6042	406	20	(	(	PUNCT
ejpam-6042	406	21	1	1	NUM
ejpam-6042	406	22	)	)	PUNCT
ejpam-6042	406	23	.	.	PUNCT
ejpam-6042	407	1	z.	z.	PROPN
ejpam-6042	407	2	sun	sun	PROPN
ejpam-6042	407	3	et	et	PROPN
ejpam-6042	407	4	al	al	PROPN
ejpam-6042	407	5	.	.	PUNCT
ejpam-6042	407	6	/	/	SYM
ejpam-6042	407	7	eur	eur	PROPN
ejpam-6042	407	8	.	.	PUNCT
ejpam-6042	408	1	j.	j.	PROPN
ejpam-6042	408	2	pure	pure	PROPN
ejpam-6042	408	3	appl	appl	PROPN
ejpam-6042	408	4	.	.	PROPN
ejpam-6042	408	5	math	math	PROPN
ejpam-6042	408	6	,	,	PUNCT
ejpam-6042	408	7	18	18	NUM
ejpam-6042	408	8	(	(	PUNCT
ejpam-6042	408	9	4	4	NUM
ejpam-6042	408	10	)	)	PUNCT
ejpam-6042	408	11	(	(	PUNCT
ejpam-6042	408	12	2025	2025	NUM
ejpam-6042	408	13	)	)	PUNCT
ejpam-6042	408	14	,	,	PUNCT
ejpam-6042	408	15	6042	6042	NUM
ejpam-6042	408	16	29	29	NUM
ejpam-6042	408	17	of	of	ADP
ejpam-6042	408	18	45	45	NUM
ejpam-6042	408	19	figure	figure	NOUN
ejpam-6042	408	20	20	20	NUM
ejpam-6042	408	21	:	:	PUNCT
ejpam-6042	408	22	numerical	numerical	ADJ
ejpam-6042	408	23	graph	graph	NOUN
ejpam-6042	408	24	for	for	ADP
ejpam-6042	408	25	the	the	DET
ejpam-6042	408	26	experiment	experiment	NOUN
ejpam-6042	408	27	1	1	NUM
ejpam-6042	408	28	with	with	ADP
ejpam-6042	408	29	b	b	NOUN
ejpam-6042	408	30	=	=	SYM
ejpam-6042	408	31	100	100	NUM
ejpam-6042	408	32	and	and	CCONJ
ejpam-6042	408	33	h	h	NOUN
ejpam-6042	408	34	=	=	NOUN
ejpam-6042	408	35	0.025	0.025	NUM
ejpam-6042	408	36	−	−	NOUN
ejpam-6042	408	37	0.005i(i	0.005i(i	NUM
ejpam-6042	409	1	=	=	SYM
ejpam-6042	409	2	0	0	NUM
ejpam-6042	409	3	,	,	PUNCT
ejpam-6042	409	4	1	1	NUM
ejpam-6042	409	5	,	,	PUNCT
ejpam-6042	409	6	2	2	NUM
ejpam-6042	409	7	,	,	PUNCT
ejpam-6042	409	8	3	3	NUM
ejpam-6042	409	9	,	,	PUNCT
ejpam-6042	409	10	4	4	NUM
ejpam-6042	409	11	)	)	PUNCT
ejpam-6042	409	12	.	.	PUNCT
ejpam-6042	410	1	figure	figure	NOUN
ejpam-6042	410	2	21	21	NUM
ejpam-6042	410	3	:	:	PUNCT
ejpam-6042	410	4	numerical	numerical	ADJ
ejpam-6042	410	5	graph	graph	NOUN
ejpam-6042	410	6	for	for	ADP
ejpam-6042	410	7	the	the	DET
ejpam-6042	410	8	experiment	experiment	NOUN
ejpam-6042	410	9	2	2	NUM
ejpam-6042	410	10	with	with	ADP
ejpam-6042	410	11	b	b	NOUN
ejpam-6042	410	12	=	=	SYM
ejpam-6042	410	13	100	100	NUM
ejpam-6042	410	14	and	and	CCONJ
ejpam-6042	410	15	h	h	NOUN
ejpam-6042	410	16	=	=	NOUN
ejpam-6042	410	17	0.025	0.025	NUM
ejpam-6042	410	18	−	−	NOUN
ejpam-6042	410	19	0.005i(i	0.005i(i	NUM
ejpam-6042	411	1	=	=	SYM
ejpam-6042	411	2	0	0	NUM
ejpam-6042	411	3	,	,	PUNCT
ejpam-6042	411	4	1	1	NUM
ejpam-6042	411	5	,	,	PUNCT
ejpam-6042	411	6	2	2	NUM
ejpam-6042	411	7	,	,	PUNCT
ejpam-6042	411	8	3	3	NUM
ejpam-6042	411	9	,	,	PUNCT
ejpam-6042	411	10	4	4	NUM
ejpam-6042	411	11	)	)	PUNCT
ejpam-6042	411	12	.	.	PUNCT
ejpam-6042	412	1	z.	z.	PROPN
ejpam-6042	412	2	sun	sun	PROPN
ejpam-6042	412	3	et	et	PROPN
ejpam-6042	412	4	al	al	PROPN
ejpam-6042	412	5	.	.	PUNCT
ejpam-6042	412	6	/	/	SYM
ejpam-6042	412	7	eur	eur	PROPN
ejpam-6042	412	8	.	.	PUNCT
ejpam-6042	413	1	j.	j.	PROPN
ejpam-6042	413	2	pure	pure	PROPN
ejpam-6042	413	3	appl	appl	PROPN
ejpam-6042	413	4	.	.	PROPN
ejpam-6042	413	5	math	math	PROPN
ejpam-6042	413	6	,	,	PUNCT
ejpam-6042	413	7	18	18	NUM
ejpam-6042	413	8	(	(	PUNCT
ejpam-6042	413	9	4	4	NUM
ejpam-6042	413	10	)	)	PUNCT
ejpam-6042	413	11	(	(	PUNCT
ejpam-6042	413	12	2025	2025	NUM
ejpam-6042	413	13	)	)	PUNCT
ejpam-6042	413	14	,	,	PUNCT
ejpam-6042	413	15	6042	6042	NUM
ejpam-6042	413	16	30	30	NUM
ejpam-6042	413	17	of	of	ADP
ejpam-6042	413	18	45	45	NUM
ejpam-6042	413	19	figure	figure	NOUN
ejpam-6042	413	20	22	22	NUM
ejpam-6042	413	21	:	:	PUNCT
ejpam-6042	413	22	numerical	numerical	ADJ
ejpam-6042	413	23	graph	graph	NOUN
ejpam-6042	413	24	for	for	ADP
ejpam-6042	413	25	the	the	DET
ejpam-6042	413	26	experiment	experiment	NOUN
ejpam-6042	413	27	3	3	NUM
ejpam-6042	413	28	with	with	ADP
ejpam-6042	413	29	b	b	NOUN
ejpam-6042	413	30	=	=	SYM
ejpam-6042	413	31	100	100	NUM
ejpam-6042	413	32	and	and	CCONJ
ejpam-6042	413	33	h	h	NOUN
ejpam-6042	413	34	=	=	SYM
ejpam-6042	413	35	0.1/2i(i	0.1/2i(i	NUM
ejpam-6042	413	36	=	=	SYM
ejpam-6042	413	37	0	0	NUM
ejpam-6042	413	38	,	,	PUNCT
ejpam-6042	413	39	1	1	NUM
ejpam-6042	413	40	,	,	PUNCT
ejpam-6042	413	41	2	2	NUM
ejpam-6042	413	42	,	,	PUNCT
ejpam-6042	413	43	3	3	NUM
ejpam-6042	413	44	,	,	PUNCT
ejpam-6042	413	45	4	4	NUM
ejpam-6042	413	46	)	)	PUNCT
ejpam-6042	413	47	.	.	PUNCT
ejpam-6042	414	1	figure	figure	VERB
ejpam-6042	414	2	23	23	NUM
ejpam-6042	414	3	:	:	PUNCT
ejpam-6042	414	4	numerical	numerical	ADJ
ejpam-6042	414	5	graph	graph	NOUN
ejpam-6042	414	6	for	for	ADP
ejpam-6042	414	7	the	the	DET
ejpam-6042	414	8	experiment	experiment	NOUN
ejpam-6042	414	9	4	4	NUM
ejpam-6042	414	10	with	with	ADP
ejpam-6042	414	11	b	b	NOUN
ejpam-6042	414	12	=	=	SYM
ejpam-6042	414	13	100	100	NUM
ejpam-6042	414	14	and	and	CCONJ
ejpam-6042	414	15	h	h	NOUN
ejpam-6042	415	1	=	=	SYM
ejpam-6042	415	2	0.1/2i(i	0.1/2i(i	NUM
ejpam-6042	415	3	=	=	SYM
ejpam-6042	415	4	0	0	NUM
ejpam-6042	415	5	,	,	PUNCT
ejpam-6042	415	6	1	1	NUM
ejpam-6042	415	7	,	,	PUNCT
ejpam-6042	415	8	2	2	NUM
ejpam-6042	415	9	,	,	PUNCT
ejpam-6042	415	10	3	3	NUM
ejpam-6042	415	11	,	,	PUNCT
ejpam-6042	415	12	4	4	NUM
ejpam-6042	415	13	)	)	PUNCT
ejpam-6042	415	14	.	.	PUNCT
ejpam-6042	416	1	figure	figure	NOUN
ejpam-6042	416	2	24	24	NUM
ejpam-6042	416	3	:	:	PUNCT
ejpam-6042	416	4	numerical	numerical	ADJ
ejpam-6042	416	5	graph	graph	NOUN
ejpam-6042	416	6	for	for	ADP
ejpam-6042	416	7	the	the	DET
ejpam-6042	416	8	experiment	experiment	NOUN
ejpam-6042	416	9	5	5	NUM
ejpam-6042	416	10	with	with	ADP
ejpam-6042	416	11	b	b	NOUN
ejpam-6042	416	12	=	=	SYM
ejpam-6042	416	13	100	100	NUM
ejpam-6042	416	14	and	and	CCONJ
ejpam-6042	416	15	h	h	NOUN
ejpam-6042	417	1	=	=	SYM
ejpam-6042	417	2	0.1/2i(i	0.1/2i(i	NUM
ejpam-6042	417	3	=	=	SYM
ejpam-6042	417	4	0	0	NUM
ejpam-6042	417	5	,	,	PUNCT
ejpam-6042	417	6	1	1	NUM
ejpam-6042	417	7	,	,	PUNCT
ejpam-6042	417	8	2	2	NUM
ejpam-6042	417	9	,	,	PUNCT
ejpam-6042	417	10	3	3	NUM
ejpam-6042	417	11	,	,	PUNCT
ejpam-6042	417	12	4	4	NUM
ejpam-6042	417	13	)	)	PUNCT
ejpam-6042	417	14	.	.	PUNCT
ejpam-6042	418	1	figure	figure	VERB
ejpam-6042	418	2	25	25	NUM
ejpam-6042	418	3	:	:	PUNCT
ejpam-6042	418	4	numerical	numerical	ADJ
ejpam-6042	418	5	graph	graph	NOUN
ejpam-6042	418	6	for	for	ADP
ejpam-6042	418	7	the	the	DET
ejpam-6042	418	8	experiment	experiment	NOUN
ejpam-6042	418	9	6	6	NUM
ejpam-6042	418	10	with	with	ADP
ejpam-6042	418	11	b	b	NOUN
ejpam-6042	418	12	=	=	SYM
ejpam-6042	418	13	5	5	NUM
ejpam-6042	418	14	and	and	CCONJ
ejpam-6042	418	15	h	h	NOUN
ejpam-6042	418	16	=	=	SYM
ejpam-6042	418	17	0.1/2i(i	0.1/2i(i	NUM
ejpam-6042	419	1	=	=	SYM
ejpam-6042	419	2	0	0	NUM
ejpam-6042	419	3	,	,	PUNCT
ejpam-6042	419	4	1	1	NUM
ejpam-6042	419	5	,	,	PUNCT
ejpam-6042	419	6	2	2	NUM
ejpam-6042	419	7	,	,	PUNCT
ejpam-6042	419	8	3	3	NUM
ejpam-6042	419	9	,	,	PUNCT
ejpam-6042	419	10	4	4	NUM
ejpam-6042	419	11	)	)	PUNCT
ejpam-6042	419	12	.	.	PUNCT
ejpam-6042	420	1	z.	z.	PROPN
ejpam-6042	420	2	sun	sun	PROPN
ejpam-6042	420	3	et	et	PROPN
ejpam-6042	420	4	al	al	PROPN
ejpam-6042	420	5	.	.	PUNCT
ejpam-6042	420	6	/	/	SYM
ejpam-6042	420	7	eur	eur	PROPN
ejpam-6042	420	8	.	.	PUNCT
ejpam-6042	421	1	j.	j.	PROPN
ejpam-6042	421	2	pure	pure	PROPN
ejpam-6042	421	3	appl	appl	PROPN
ejpam-6042	421	4	.	.	PROPN
ejpam-6042	421	5	math	math	PROPN
ejpam-6042	421	6	,	,	PUNCT
ejpam-6042	421	7	18	18	NUM
ejpam-6042	421	8	(	(	PUNCT
ejpam-6042	421	9	4	4	NUM
ejpam-6042	421	10	)	)	PUNCT
ejpam-6042	421	11	(	(	PUNCT
ejpam-6042	421	12	2025	2025	NUM
ejpam-6042	421	13	)	)	PUNCT
ejpam-6042	421	14	,	,	PUNCT
ejpam-6042	421	15	6042	6042	NUM
ejpam-6042	421	16	31	31	NUM
ejpam-6042	421	17	of	of	ADP
ejpam-6042	421	18	45	45	NUM
ejpam-6042	421	19	for	for	ADP
ejpam-6042	421	20	the	the	DET
ejpam-6042	421	21	experiments	experiment	NOUN
ejpam-6042	421	22	1	1	NUM
ejpam-6042	421	23	to	to	PART
ejpam-6042	421	24	5	5	NUM
ejpam-6042	421	25	,	,	PUNCT
ejpam-6042	421	26	it	it	PRON
ejpam-6042	421	27	is	be	AUX
ejpam-6042	421	28	worth	worth	ADJ
ejpam-6042	421	29	noting	note	VERB
ejpam-6042	421	30	that	that	SCONJ
ejpam-6042	421	31	the	the	DET
ejpam-6042	421	32	order	order	NOUN
ejpam-6042	421	33	of	of	ADP
ejpam-6042	421	34	increasing	increase	VERB
ejpam-6042	421	35	values	value	NOUN
ejpam-6042	421	36	of	of	ADP
ejpam-6042	421	37	the	the	DET
ejpam-6042	421	38	mgte	mgte	NOUN
ejpam-6042	421	39	is	be	AUX
ejpam-6042	421	40	the	the	DET
ejpam-6042	421	41	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	421	42	)	)	PUNCT
ejpam-6042	421	43	,	,	PUNCT
ejpam-6042	421	44	tftdrkn3s5	tftdrkn3s5	PROPN
ejpam-6042	421	45	,	,	PUNCT
ejpam-6042	421	46	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	421	47	-	-	PUNCT
ejpam-6042	421	48	6er	6er	NOUN
ejpam-6042	421	49	,	,	PUNCT
ejpam-6042	421	50	stdrkn	stdrkn	ADJ
ejpam-6042	421	51	,	,	PUNCT
ejpam-6042	421	52	and	and	CCONJ
ejpam-6042	421	53	tfirkn5	tfirkn5	PROPN
ejpam-6042	421	54	method	method	NOUN
ejpam-6042	421	55	.	.	PUNCT
ejpam-6042	422	1	an	an	DET
ejpam-6042	422	2	analysis	analysis	NOUN
ejpam-6042	422	3	of	of	ADP
ejpam-6042	422	4	this	this	DET
ejpam-6042	422	5	phenomenon	phenomenon	NOUN
ejpam-6042	422	6	is	be	AUX
ejpam-6042	422	7	provided	provide	VERB
ejpam-6042	422	8	below	below	ADV
ejpam-6042	422	9	.	.	PUNCT
ejpam-6042	423	1	the	the	DET
ejpam-6042	423	2	trigonometricallyfitting	trigonometricallyfitte	VERB
ejpam-6042	423	3	technique	technique	NOUN
ejpam-6042	423	4	of	of	ADP
ejpam-6042	423	5	the	the	DET
ejpam-6042	423	6	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	423	7	)	)	PUNCT
ejpam-6042	423	8	method	method	NOUN
ejpam-6042	423	9	is	be	AUX
ejpam-6042	423	10	superior	superior	ADJ
ejpam-6042	423	11	to	to	ADP
ejpam-6042	423	12	that	that	PRON
ejpam-6042	423	13	of	of	ADP
ejpam-6042	423	14	the	the	DET
ejpam-6042	423	15	tftdrkn3s5	tftdrkn3s5	PROPN
ejpam-6042	423	16	for	for	ADP
ejpam-6042	423	17	solving	solve	VERB
ejpam-6042	423	18	first	first	ADJ
ejpam-6042	423	19	seven	seven	NUM
ejpam-6042	423	20	special	special	ADJ
ejpam-6042	423	21	second	second	ADJ
ejpam-6042	423	22	-	-	PUNCT
ejpam-6042	423	23	order	order	NOUN
ejpam-6042	423	24	odes	ode	NOUN
ejpam-6042	423	25	with	with	ADP
ejpam-6042	423	26	periodic	periodic	ADJ
ejpam-6042	423	27	solutions	solution	NOUN
ejpam-6042	423	28	like	like	ADP
ejpam-6042	423	29	(	(	PUNCT
ejpam-6042	423	30	1	1	NUM
ejpam-6042	423	31	)	)	PUNCT
ejpam-6042	423	32	,	,	PUNCT
ejpam-6042	423	33	so	so	SCONJ
ejpam-6042	423	34	tfedtrkn(5	tfedtrkn(5	NOUN
ejpam-6042	423	35	)	)	PUNCT
ejpam-6042	423	36	method	method	NOUN
ejpam-6042	423	37	outperforms	outperform	VERB
ejpam-6042	423	38	tftdrkn3s5	tftdrkn3s5	DET
ejpam-6042	423	39	method	method	NOUN
ejpam-6042	423	40	.	.	PUNCT
ejpam-6042	424	1	subsequently	subsequently	ADV
ejpam-6042	424	2	,	,	PUNCT
ejpam-6042	424	3	the	the	DET
ejpam-6042	424	4	stdrkn5(3	stdrkn5(3	PROPN
ejpam-6042	424	5	)	)	PUNCT
ejpam-6042	424	6	method	method	NOUN
ejpam-6042	424	7	is	be	AUX
ejpam-6042	424	8	just	just	ADV
ejpam-6042	424	9	an	an	DET
ejpam-6042	424	10	efficient	efficient	ADJ
ejpam-6042	424	11	tdrknmethod	tdrknmethod	NOUN
ejpam-6042	424	12	without	without	ADP
ejpam-6042	424	13	the	the	DET
ejpam-6042	424	14	implementation	implementation	NOUN
ejpam-6042	424	15	of	of	ADP
ejpam-6042	424	16	trigonometricallyfitting	trigonometricallyfitte	VERB
ejpam-6042	424	17	technique	technique	NOUN
ejpam-6042	424	18	,	,	PUNCT
ejpam-6042	424	19	so	so	SCONJ
ejpam-6042	424	20	it	it	PRON
ejpam-6042	424	21	certainly	certainly	ADV
ejpam-6042	424	22	performs	perform	VERB
ejpam-6042	424	23	worst	bad	ADJ
ejpam-6042	424	24	among	among	ADP
ejpam-6042	424	25	three	three	NUM
ejpam-6042	424	26	tdrknmethods	tdrknmethod	NOUN
ejpam-6042	424	27	.	.	PUNCT
ejpam-6042	425	1	the	the	DET
ejpam-6042	425	2	reason	reason	NOUN
ejpam-6042	425	3	the	the	DET
ejpam-6042	425	4	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	425	5	-	-	PUNCT
ejpam-6042	425	6	6er	6er	NOUN
ejpam-6042	425	7	method	method	NOUN
ejpam-6042	425	8	(	(	PUNCT
ejpam-6042	425	9	despite	despite	SCONJ
ejpam-6042	425	10	being	be	AUX
ejpam-6042	425	11	a	a	DET
ejpam-6042	425	12	sixth	sixth	ADJ
ejpam-6042	425	13	-	-	PUNCT
ejpam-6042	425	14	order	order	NOUN
ejpam-6042	425	15	algebraic	algebraic	ADJ
ejpam-6042	425	16	method	method	NOUN
ejpam-6042	425	17	,	,	PUNCT
ejpam-6042	425	18	which	which	PRON
ejpam-6042	425	19	would	would	AUX
ejpam-6042	425	20	typically	typically	ADV
ejpam-6042	425	21	result	result	VERB
ejpam-6042	425	22	in	in	ADP
ejpam-6042	425	23	smaller	small	ADJ
ejpam-6042	425	24	errors	error	NOUN
ejpam-6042	425	25	than	than	ADP
ejpam-6042	425	26	fifth	fifth	ADJ
ejpam-6042	425	27	-	-	PUNCT
ejpam-6042	425	28	order	order	NOUN
ejpam-6042	425	29	methods	method	NOUN
ejpam-6042	425	30	)	)	PUNCT
ejpam-6042	425	31	and	and	CCONJ
ejpam-6042	425	32	the	the	DET
ejpam-6042	425	33	tfirkn5	tfirkn5	PROPN
ejpam-6042	425	34	method	method	NOUN
ejpam-6042	425	35	(	(	PUNCT
ejpam-6042	425	36	where	where	SCONJ
ejpam-6042	425	37	improvements	improvement	NOUN
ejpam-6042	425	38	are	be	AUX
ejpam-6042	425	39	generally	generally	ADV
ejpam-6042	425	40	expected	expect	VERB
ejpam-6042	425	41	to	to	PART
ejpam-6042	425	42	reduce	reduce	VERB
ejpam-6042	425	43	errors	error	NOUN
ejpam-6042	425	44	)	)	PUNCT
ejpam-6042	425	45	perform	perform	VERB
ejpam-6042	425	46	worse	bad	ADJ
ejpam-6042	425	47	than	than	SCONJ
ejpam-6042	425	48	the	the	DET
ejpam-6042	425	49	three	three	NUM
ejpam-6042	425	50	above	above	ADP
ejpam-6042	425	51	mentioned	mention	VERB
ejpam-6042	425	52	tdrkn	tdrkn	ADJ
ejpam-6042	425	53	methods	method	NOUN
ejpam-6042	425	54	is	be	AUX
ejpam-6042	425	55	that	that	SCONJ
ejpam-6042	425	56	the	the	DET
ejpam-6042	425	57	tdrkn	tdrkn	ADJ
ejpam-6042	425	58	methods	method	NOUN
ejpam-6042	425	59	incorporate	incorporate	VERB
ejpam-6042	425	60	the	the	DET
ejpam-6042	425	61	second	second	ADJ
ejpam-6042	425	62	derivative	derivative	NOUN
ejpam-6042	425	63	directly	directly	ADV
ejpam-6042	425	64	into	into	ADP
ejpam-6042	425	65	the	the	DET
ejpam-6042	425	66	numerical	numerical	ADJ
ejpam-6042	425	67	scheme	scheme	NOUN
ejpam-6042	425	68	(	(	PUNCT
ejpam-6042	425	69	3	3	NUM
ejpam-6042	425	70	)	)	PUNCT
ejpam-6042	425	71	.	.	PUNCT
ejpam-6042	426	1	this	this	DET
ejpam-6042	426	2	integration	integration	NOUN
ejpam-6042	426	3	allows	allow	VERB
ejpam-6042	426	4	for	for	ADP
ejpam-6042	426	5	higherorder	higherorder	NOUN
ejpam-6042	426	6	accuracy	accuracy	NOUN
ejpam-6042	426	7	without	without	ADP
ejpam-6042	426	8	requiring	require	VERB
ejpam-6042	426	9	additional	additional	ADJ
ejpam-6042	426	10	function	function	NOUN
ejpam-6042	426	11	evaluations	evaluation	NOUN
ejpam-6042	426	12	,	,	PUNCT
ejpam-6042	426	13	leading	lead	VERB
ejpam-6042	426	14	to	to	ADP
ejpam-6042	426	15	more	more	ADV
ejpam-6042	426	16	accurate	accurate	ADJ
ejpam-6042	426	17	solutions	solution	NOUN
ejpam-6042	426	18	for	for	ADP
ejpam-6042	426	19	the	the	DET
ejpam-6042	426	20	same	same	ADJ
ejpam-6042	426	21	computational	computational	ADJ
ejpam-6042	426	22	effort	effort	NOUN
ejpam-6042	426	23	compared	compare	VERB
ejpam-6042	426	24	to	to	ADP
ejpam-6042	426	25	the	the	DET
ejpam-6042	426	26	standard	standard	ADJ
ejpam-6042	426	27	rkn	rkn	NOUN
ejpam-6042	426	28	methods	method	NOUN
ejpam-6042	426	29	(	(	PUNCT
ejpam-6042	426	30	see	see	VERB
ejpam-6042	426	31	[	[	X
ejpam-6042	426	32	15	15	NUM
ejpam-6042	426	33	]	]	NUM
ejpam-6042	426	34	)	)	PUNCT
ejpam-6042	426	35	.	.	PUNCT
ejpam-6042	427	1	unfortunately	unfortunately	ADV
ejpam-6042	427	2	,	,	PUNCT
ejpam-6042	427	3	for	for	ADP
ejpam-6042	427	4	the	the	DET
ejpam-6042	427	5	experiment	experiment	NOUN
ejpam-6042	427	6	6	6	NUM
ejpam-6042	427	7	,	,	PUNCT
ejpam-6042	427	8	from	from	ADP
ejpam-6042	427	9	fig	fig	NOUN
ejpam-6042	427	10	.	.	PUNCT
ejpam-6042	428	1	25	25	NUM
ejpam-6042	428	2	,	,	PUNCT
ejpam-6042	428	3	the	the	DET
ejpam-6042	428	4	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	428	5	)	)	PUNCT
ejpam-6042	428	6	method	method	NOUN
ejpam-6042	428	7	does	do	AUX
ejpam-6042	428	8	not	not	PART
ejpam-6042	428	9	show	show	VERB
ejpam-6042	428	10	the	the	DET
ejpam-6042	428	11	best	good	ADJ
ejpam-6042	428	12	error	error	NOUN
ejpam-6042	428	13	accuracy	accuracy	NOUN
ejpam-6042	428	14	but	but	CCONJ
ejpam-6042	428	15	ranks	rank	VERB
ejpam-6042	428	16	in	in	ADP
ejpam-6042	428	17	the	the	DET
ejpam-6042	428	18	middle	middle	NOUN
ejpam-6042	428	19	among	among	ADP
ejpam-6042	428	20	the	the	DET
ejpam-6042	428	21	five	five	NUM
ejpam-6042	428	22	methods	method	NOUN
ejpam-6042	428	23	,	,	PUNCT
ejpam-6042	428	24	lagging	lag	VERB
ejpam-6042	428	25	behind	behind	ADP
ejpam-6042	428	26	the	the	DET
ejpam-6042	428	27	pfafrkn6	pfafrkn6	PROPN
ejpam-6042	428	28	-	-	PUNCT
ejpam-6042	428	29	6er	6er	NOUN
ejpam-6042	428	30	and	and	CCONJ
ejpam-6042	428	31	the	the	DET
ejpam-6042	428	32	tftdrkn3s5	tftdrkn3s5	ADJ
ejpam-6042	428	33	method	method	NOUN
ejpam-6042	428	34	,	,	PUNCT
ejpam-6042	428	35	and	and	CCONJ
ejpam-6042	428	36	better	well	ADJ
ejpam-6042	428	37	than	than	ADP
ejpam-6042	428	38	the	the	DET
ejpam-6042	428	39	stdrkn	stdrkn	NOUN
ejpam-6042	428	40	and	and	CCONJ
ejpam-6042	428	41	the	the	DET
ejpam-6042	428	42	tfirkn5	tfirkn5	PROPN
ejpam-6042	428	43	method	method	NOUN
ejpam-6042	428	44	.	.	PUNCT
ejpam-6042	429	1	the	the	DET
ejpam-6042	429	2	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	429	3	-	-	PUNCT
ejpam-6042	429	4	6er	6er	NOUN
ejpam-6042	429	5	method	method	NOUN
ejpam-6042	429	6	,	,	PUNCT
ejpam-6042	429	7	which	which	PRON
ejpam-6042	429	8	performs	perform	VERB
ejpam-6042	429	9	poorly	poorly	ADV
ejpam-6042	429	10	in	in	ADP
ejpam-6042	429	11	error	error	NOUN
ejpam-6042	429	12	accuracy	accuracy	NOUN
ejpam-6042	429	13	in	in	ADP
ejpam-6042	429	14	the	the	DET
ejpam-6042	429	15	first	first	ADJ
ejpam-6042	429	16	seven	seven	NUM
ejpam-6042	429	17	experiments	experiment	NOUN
ejpam-6042	429	18	,	,	PUNCT
ejpam-6042	429	19	performs	perform	VERB
ejpam-6042	429	20	the	the	DET
ejpam-6042	429	21	best	good	ADJ
ejpam-6042	429	22	in	in	ADP
ejpam-6042	429	23	experiment	experiment	NOUN
ejpam-6042	429	24	6	6	NUM
ejpam-6042	429	25	,	,	PUNCT
ejpam-6042	429	26	while	while	SCONJ
ejpam-6042	429	27	the	the	DET
ejpam-6042	429	28	tftdrkn3s5	tftdrkn3s5	PROPN
ejpam-6042	429	29	method	method	NOUN
ejpam-6042	429	30	performs	perform	VERB
ejpam-6042	429	31	slightly	slightly	ADV
ejpam-6042	429	32	better	well	ADJ
ejpam-6042	429	33	than	than	ADP
ejpam-6042	429	34	the	the	DET
ejpam-6042	429	35	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	429	36	)	)	PUNCT
ejpam-6042	429	37	method	method	NOUN
ejpam-6042	429	38	.	.	PUNCT
ejpam-6042	430	1	the	the	DET
ejpam-6042	430	2	problem	problem	NOUN
ejpam-6042	430	3	in	in	ADP
ejpam-6042	430	4	experiment	experiment	NOUN
ejpam-6042	430	5	6	6	NUM
ejpam-6042	430	6	has	have	VERB
ejpam-6042	430	7	more	more	ADJ
ejpam-6042	430	8	secular	secular	ADJ
ejpam-6042	430	9	terms	term	NOUN
ejpam-6042	430	10	,	,	PUNCT
ejpam-6042	430	11	u1	u1	NOUN
ejpam-6042	430	12	(	(	PUNCT
ejpam-6042	430	13	t)u2	t)u2	PROPN
ejpam-6042	430	14	(	(	PUNCT
ejpam-6042	430	15	t	t	PROPN
ejpam-6042	430	16	)	)	PUNCT
ejpam-6042	430	17	,	,	PUNCT
ejpam-6042	430	18	u1	u1	NOUN
ejpam-6042	430	19	2	2	NUM
ejpam-6042	430	20	(	(	PUNCT
ejpam-6042	430	21	t	t	PROPN
ejpam-6042	430	22	)	)	PUNCT
ejpam-6042	430	23	and	and	CCONJ
ejpam-6042	430	24	u2	u2	PROPN
ejpam-6042	430	25	3	3	NUM
ejpam-6042	430	26	(	(	PUNCT
ejpam-6042	430	27	t	t	PROPN
ejpam-6042	430	28	)	)	PUNCT
ejpam-6042	430	29	,	,	PUNCT
ejpam-6042	430	30	than	than	ADP
ejpam-6042	430	31	the	the	DET
ejpam-6042	430	32	other	other	ADJ
ejpam-6042	430	33	five	five	NUM
ejpam-6042	430	34	experiments	experiment	NOUN
ejpam-6042	430	35	.	.	PUNCT
ejpam-6042	431	1	the	the	DET
ejpam-6042	431	2	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	431	3	-	-	PUNCT
ejpam-6042	431	4	6er	6er	ADJ
ejpam-6042	431	5	method	method	NOUN
ejpam-6042	431	6	implements	implement	VERB
ejpam-6042	431	7	the	the	DET
ejpam-6042	431	8	phaseand	phaseand	NOUN
ejpam-6042	431	9	amplification	amplification	NOUN
ejpam-6042	431	10	-	-	PUNCT
ejpam-6042	431	11	fitted	fit	VERB
ejpam-6042	431	12	technique	technique	NOUN
ejpam-6042	431	13	during	during	ADP
ejpam-6042	431	14	the	the	DET
ejpam-6042	431	15	construction	construction	NOUN
ejpam-6042	431	16	of	of	ADP
ejpam-6042	431	17	their	their	PRON
ejpam-6042	431	18	method	method	NOUN
ejpam-6042	431	19	(	(	PUNCT
ejpam-6042	431	20	see	see	VERB
ejpam-6042	431	21	further	far	ADV
ejpam-6042	431	22	in	in	ADP
ejpam-6042	431	23	[	[	X
ejpam-6042	431	24	13	13	NUM
ejpam-6042	431	25	]	]	NUM
ejpam-6042	431	26	)	)	PUNCT
ejpam-6042	431	27	,	,	PUNCT
ejpam-6042	431	28	which	which	PRON
ejpam-6042	431	29	is	be	AUX
ejpam-6042	431	30	specifically	specifically	ADV
ejpam-6042	431	31	designed	design	VERB
ejpam-6042	431	32	to	to	PART
ejpam-6042	431	33	handle	handle	VERB
ejpam-6042	431	34	nonlinearities	nonlinearitie	NOUN
ejpam-6042	431	35	in	in	ADP
ejpam-6042	431	36	oscillatory	oscillatory	ADJ
ejpam-6042	431	37	systems	system	NOUN
ejpam-6042	431	38	.	.	PUNCT
ejpam-6042	432	1	it	it	PRON
ejpam-6042	432	2	more	more	ADV
ejpam-6042	432	3	accurately	accurately	ADV
ejpam-6042	432	4	captures	capture	VERB
ejpam-6042	432	5	the	the	DET
ejpam-6042	432	6	phase	phase	NOUN
ejpam-6042	432	7	and	and	CCONJ
ejpam-6042	432	8	amplitude	amplitude	NOUN
ejpam-6042	432	9	changes	change	NOUN
ejpam-6042	432	10	caused	cause	VERB
ejpam-6042	432	11	by	by	ADP
ejpam-6042	432	12	the	the	DET
ejpam-6042	432	13	nonlinear	nonlinear	ADJ
ejpam-6042	432	14	term	term	NOUN
ejpam-6042	432	15	.	.	PUNCT
ejpam-6042	433	1	in	in	ADP
ejpam-6042	433	2	the	the	DET
ejpam-6042	433	3	equations	equation	NOUN
ejpam-6042	433	4	shown	show	VERB
ejpam-6042	433	5	in	in	ADP
ejpam-6042	433	6	the	the	DET
ejpam-6042	433	7	experiment	experiment	NOUN
ejpam-6042	433	8	6	6	NUM
ejpam-6042	433	9	,	,	PUNCT
ejpam-6042	433	10	it	it	PRON
ejpam-6042	433	11	is	be	AUX
ejpam-6042	433	12	the	the	DET
ejpam-6042	433	13	nonlinear	nonlinear	ADJ
ejpam-6042	433	14	terms	term	NOUN
ejpam-6042	433	15	that	that	PRON
ejpam-6042	433	16	causes	cause	VERB
ejpam-6042	433	17	the	the	DET
ejpam-6042	433	18	amplitude	amplitude	NOUN
ejpam-6042	433	19	and	and	CCONJ
ejpam-6042	433	20	frequency	frequency	NOUN
ejpam-6042	433	21	changes	change	NOUN
ejpam-6042	433	22	(	(	PUNCT
ejpam-6042	433	23	which	which	PRON
ejpam-6042	433	24	is	be	AUX
ejpam-6042	433	25	why	why	SCONJ
ejpam-6042	433	26	the	the	DET
ejpam-6042	433	27	frequency	frequency	NOUN
ejpam-6042	433	28	λ	λ	X
ejpam-6042	433	29	in	in	ADP
ejpam-6042	433	30	eq	eq	NOUN
ejpam-6042	433	31	49	49	NUM
ejpam-6042	433	32	depends	depend	VERB
ejpam-6042	433	33	on	on	ADP
ejpam-6042	433	34	ϵ	ϵ	NOUN
ejpam-6042	433	35	)	)	PUNCT
ejpam-6042	433	36	.	.	PUNCT
ejpam-6042	434	1	while	while	SCONJ
ejpam-6042	434	2	,	,	PUNCT
ejpam-6042	434	3	the	the	DET
ejpam-6042	434	4	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	434	5	)	)	PUNCT
ejpam-6042	434	6	method	method	NOUN
ejpam-6042	434	7	accurately	accurately	ADV
ejpam-6042	434	8	captures	capture	VERB
ejpam-6042	434	9	periodic	periodic	ADJ
ejpam-6042	434	10	behavior	behavior	NOUN
ejpam-6042	434	11	through	through	ADP
ejpam-6042	434	12	trigonometric	trigonometric	ADJ
ejpam-6042	434	13	fitting	fitting	ADJ
ejpam-6042	434	14	and	and	CCONJ
ejpam-6042	434	15	uses	use	VERB
ejpam-6042	434	16	second	second	ADJ
ejpam-6042	434	17	-	-	PUNCT
ejpam-6042	434	18	order	order	NOUN
ejpam-6042	434	19	derivatives	derivative	NOUN
ejpam-6042	434	20	to	to	PART
ejpam-6042	434	21	improve	improve	VERB
ejpam-6042	434	22	accuracy	accuracy	NOUN
ejpam-6042	434	23	.	.	PUNCT
ejpam-6042	435	1	however	however	ADV
ejpam-6042	435	2	,	,	PUNCT
ejpam-6042	435	3	it	it	PRON
ejpam-6042	435	4	is	be	AUX
ejpam-6042	435	5	not	not	PART
ejpam-6042	435	6	specifically	specifically	ADV
ejpam-6042	435	7	optimized	optimize	VERB
ejpam-6042	435	8	for	for	ADP
ejpam-6042	435	9	nonlinear	nonlinear	ADJ
ejpam-6042	435	10	terms	term	NOUN
ejpam-6042	435	11	.	.	PUNCT
ejpam-6042	436	1	the	the	DET
ejpam-6042	436	2	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	436	3	)	)	PUNCT
ejpam-6042	436	4	method	method	NOUN
ejpam-6042	436	5	is	be	AUX
ejpam-6042	436	6	not	not	PART
ejpam-6042	436	7	highly	highly	ADV
ejpam-6042	436	8	effective	effective	ADJ
ejpam-6042	436	9	for	for	ADP
ejpam-6042	436	10	solving	solve	VERB
ejpam-6042	436	11	second	second	ADJ
ejpam-6042	436	12	-	-	PUNCT
ejpam-6042	436	13	order	order	NOUN
ejpam-6042	436	14	systems	system	NOUN
ejpam-6042	436	15	of	of	ADP
ejpam-6042	436	16	odes	ode	NOUN
ejpam-6042	436	17	with	with	ADP
ejpam-6042	436	18	many	many	ADJ
ejpam-6042	436	19	nonlinear	nonlinear	ADJ
ejpam-6042	436	20	terms	term	NOUN
ejpam-6042	436	21	.	.	PUNCT
ejpam-6042	437	1	consequently	consequently	ADV
ejpam-6042	437	2	,	,	PUNCT
ejpam-6042	437	3	in	in	ADP
ejpam-6042	437	4	the	the	DET
ejpam-6042	437	5	simulation	simulation	NOUN
ejpam-6042	437	6	of	of	ADP
ejpam-6042	437	7	experiment	experiment	NOUN
ejpam-6042	437	8	6	6	NUM
ejpam-6042	437	9	,	,	PUNCT
ejpam-6042	437	10	error	error	NOUN
ejpam-6042	437	11	accumulation	accumulation	NOUN
ejpam-6042	437	12	is	be	AUX
ejpam-6042	437	13	relatively	relatively	ADV
ejpam-6042	437	14	large	large	ADJ
ejpam-6042	437	15	compared	compare	VERB
ejpam-6042	437	16	with	with	ADP
ejpam-6042	437	17	the	the	DET
ejpam-6042	437	18	pfafrkn6	pfafrkn6	NOUN
ejpam-6042	437	19	method	method	NOUN
ejpam-6042	437	20	,	,	PUNCT
ejpam-6042	437	21	and	and	CCONJ
ejpam-6042	437	22	the	the	DET
ejpam-6042	437	23	expected	expect	VERB
ejpam-6042	437	24	accuracy	accuracy	NOUN
ejpam-6042	437	25	is	be	AUX
ejpam-6042	437	26	not	not	PART
ejpam-6042	437	27	fully	fully	ADV
ejpam-6042	437	28	achieved	achieve	VERB
ejpam-6042	437	29	.	.	PUNCT
ejpam-6042	438	1	nevertheless	nevertheless	ADV
ejpam-6042	438	2	,	,	PUNCT
ejpam-6042	438	3	although	although	SCONJ
ejpam-6042	438	4	the	the	DET
ejpam-6042	438	5	proposed	propose	VERB
ejpam-6042	438	6	method	method	NOUN
ejpam-6042	438	7	does	do	AUX
ejpam-6042	438	8	not	not	PART
ejpam-6042	438	9	yield	yield	VERB
ejpam-6042	438	10	the	the	DET
ejpam-6042	438	11	best	good	ADJ
ejpam-6042	438	12	performance	performance	NOUN
ejpam-6042	438	13	in	in	ADP
ejpam-6042	438	14	this	this	DET
ejpam-6042	438	15	case	case	NOUN
ejpam-6042	438	16	,	,	PUNCT
ejpam-6042	438	17	it	it	PRON
ejpam-6042	438	18	still	still	ADV
ejpam-6042	438	19	demonstrates	demonstrate	VERB
ejpam-6042	438	20	significance	significance	NOUN
ejpam-6042	438	21	and	and	CCONJ
ejpam-6042	438	22	value	value	NOUN
ejpam-6042	438	23	,	,	PUNCT
ejpam-6042	438	24	owing	owe	VERB
ejpam-6042	438	25	to	to	ADP
ejpam-6042	438	26	its	its	PRON
ejpam-6042	438	27	lower	low	ADJ
ejpam-6042	438	28	nte	nte	PROPN
ejpam-6042	438	29	and	and	CCONJ
ejpam-6042	438	30	reduced	reduce	VERB
ejpam-6042	438	31	computational	computational	ADJ
ejpam-6042	438	32	time	time	NOUN
ejpam-6042	438	33	(	(	PUNCT
ejpam-6042	438	34	see	see	VERB
ejpam-6042	438	35	table	table	NOUN
ejpam-6042	438	36	10	10	NUM
ejpam-6042	438	37	)	)	PUNCT
ejpam-6042	438	38	for	for	ADP
ejpam-6042	438	39	simulating	simulate	VERB
ejpam-6042	438	40	special	special	ADJ
ejpam-6042	438	41	second	second	ADJ
ejpam-6042	438	42	-	-	PUNCT
ejpam-6042	438	43	order	order	NOUN
ejpam-6042	438	44	systems	system	NOUN
ejpam-6042	438	45	of	of	ADP
ejpam-6042	438	46	odes	ode	NOUN
ejpam-6042	438	47	without	without	ADP
ejpam-6042	438	48	theoretically	theoretically	ADV
ejpam-6042	438	49	periodic	periodic	ADJ
ejpam-6042	438	50	solutions	solution	NOUN
ejpam-6042	438	51	.	.	PUNCT
ejpam-6042	439	1	from	from	ADP
ejpam-6042	439	2	all	all	DET
ejpam-6042	439	3	numerical	numerical	ADJ
ejpam-6042	439	4	tables	table	NOUN
ejpam-6042	439	5	,	,	PUNCT
ejpam-6042	439	6	we	we	PRON
ejpam-6042	439	7	obtain	obtain	VERB
ejpam-6042	439	8	that	that	SCONJ
ejpam-6042	439	9	when	when	SCONJ
ejpam-6042	439	10	b	b	NOUN
ejpam-6042	439	11	and	and	CCONJ
ejpam-6042	439	12	h	h	NOUN
ejpam-6042	439	13	are	be	AUX
ejpam-6042	439	14	fixed	fix	VERB
ejpam-6042	439	15	,	,	PUNCT
ejpam-6042	439	16	the	the	DET
ejpam-6042	439	17	number	number	NOUN
ejpam-6042	439	18	of	of	ADP
ejpam-6042	439	19	function	function	NOUN
ejpam-6042	439	20	evaluations	evaluation	NOUN
ejpam-6042	439	21	of	of	ADP
ejpam-6042	439	22	the	the	DET
ejpam-6042	439	23	three	three	NUM
ejpam-6042	439	24	tdrkn	tdrkn	ADJ
ejpam-6042	439	25	methods	method	NOUN
ejpam-6042	439	26	are	be	AUX
ejpam-6042	439	27	the	the	DET
ejpam-6042	439	28	same	same	ADJ
ejpam-6042	439	29	,	,	PUNCT
ejpam-6042	439	30	but	but	CCONJ
ejpam-6042	439	31	smaller	small	ADJ
ejpam-6042	439	32	than	than	ADP
ejpam-6042	439	33	that	that	PRON
ejpam-6042	439	34	of	of	ADP
ejpam-6042	439	35	the	the	DET
ejpam-6042	439	36	pfafrkn6	pfafrkn6	NOUN
ejpam-6042	439	37	-	-	PUNCT
ejpam-6042	439	38	6er	6er	NOUN
ejpam-6042	439	39	(	(	PUNCT
ejpam-6042	439	40	also	also	ADV
ejpam-6042	439	41	smaller	small	ADJ
ejpam-6042	439	42	than	than	ADP
ejpam-6042	439	43	the	the	DET
ejpam-6042	439	44	tfirkn5	tfirkn5	PROPN
ejpam-6042	439	45	method	method	NOUN
ejpam-6042	439	46	)	)	PUNCT
ejpam-6042	439	47	and	and	CCONJ
ejpam-6042	439	48	the	the	DET
ejpam-6042	439	49	tfirkn5	tfirkn5	PROPN
ejpam-6042	439	50	z.	z.	PROPN
ejpam-6042	439	51	sun	sun	PROPN
ejpam-6042	439	52	et	et	PROPN
ejpam-6042	439	53	al	al	PROPN
ejpam-6042	439	54	.	.	PUNCT
ejpam-6042	439	55	/	/	SYM
ejpam-6042	439	56	eur	eur	PROPN
ejpam-6042	439	57	.	.	PUNCT
ejpam-6042	440	1	j.	j.	PROPN
ejpam-6042	440	2	pure	pure	PROPN
ejpam-6042	440	3	appl	appl	PROPN
ejpam-6042	440	4	.	.	PROPN
ejpam-6042	440	5	math	math	PROPN
ejpam-6042	440	6	,	,	PUNCT
ejpam-6042	440	7	18	18	NUM
ejpam-6042	440	8	(	(	PUNCT
ejpam-6042	440	9	4	4	NUM
ejpam-6042	440	10	)	)	PUNCT
ejpam-6042	440	11	(	(	PUNCT
ejpam-6042	440	12	2025	2025	NUM
ejpam-6042	440	13	)	)	PUNCT
ejpam-6042	440	14	,	,	PUNCT
ejpam-6042	440	15	6042	6042	NUM
ejpam-6042	440	16	32	32	NUM
ejpam-6042	440	17	of	of	ADP
ejpam-6042	440	18	45	45	NUM
ejpam-6042	440	19	method	method	NOUN
ejpam-6042	440	20	,	,	PUNCT
ejpam-6042	440	21	which	which	PRON
ejpam-6042	440	22	is	be	AUX
ejpam-6042	440	23	consistent	consistent	ADJ
ejpam-6042	440	24	with	with	ADP
ejpam-6042	440	25	the	the	DET
ejpam-6042	440	26	relatively	relatively	ADV
ejpam-6042	440	27	low	low	ADJ
ejpam-6042	440	28	computational	computational	ADJ
ejpam-6042	440	29	complexity	complexity	NOUN
ejpam-6042	440	30	of	of	ADP
ejpam-6042	440	31	the	the	DET
ejpam-6042	440	32	three	three	NUM
ejpam-6042	440	33	tdrknmethods	tdrknmethod	NOUN
ejpam-6042	440	34	.	.	PUNCT
ejpam-6042	441	1	also	also	ADV
ejpam-6042	441	2	,	,	PUNCT
ejpam-6042	441	3	the	the	DET
ejpam-6042	441	4	computational	computational	ADJ
ejpam-6042	441	5	time	time	NOUN
ejpam-6042	441	6	of	of	ADP
ejpam-6042	441	7	the	the	DET
ejpam-6042	441	8	three	three	NUM
ejpam-6042	441	9	tdrknmethods	tdrknmethod	NOUN
ejpam-6042	441	10	is	be	AUX
ejpam-6042	441	11	generally	generally	ADV
ejpam-6042	441	12	shorter	short	ADJ
ejpam-6042	441	13	than	than	ADP
ejpam-6042	441	14	that	that	PRON
ejpam-6042	441	15	of	of	ADP
ejpam-6042	441	16	the	the	DET
ejpam-6042	441	17	pfafrkn6	pfafrkn6	PROPN
ejpam-6042	441	18	-	-	PUNCT
ejpam-6042	441	19	6er	6er	NOUN
ejpam-6042	441	20	and	and	CCONJ
ejpam-6042	441	21	tfirkn5	tfirkn5	PROPN
ejpam-6042	441	22	methods	method	NOUN
ejpam-6042	441	23	in	in	ADP
ejpam-6042	441	24	all	all	DET
ejpam-6042	441	25	experiments	experiment	NOUN
ejpam-6042	441	26	,	,	PUNCT
ejpam-6042	441	27	which	which	PRON
ejpam-6042	441	28	the	the	DET
ejpam-6042	441	29	reason	reason	NOUN
ejpam-6042	441	30	of	of	ADP
ejpam-6042	441	31	is	be	AUX
ejpam-6042	441	32	the	the	DET
ejpam-6042	441	33	three	three	NUM
ejpam-6042	441	34	tdrkn	tdrkn	ADJ
ejpam-6042	441	35	methods	method	NOUN
ejpam-6042	441	36	are	be	AUX
ejpam-6042	441	37	all	all	ADV
ejpam-6042	441	38	two	two	NUM
ejpam-6042	441	39	-	-	PUNCT
ejpam-6042	441	40	derivative	derivative	ADJ
ejpam-6042	441	41	runge	runge	NOUN
ejpam-6042	441	42	-	-	PUNCT
ejpam-6042	441	43	kuttanyström	kuttanyström	NOUN
ejpam-6042	441	44	methods	method	NOUN
ejpam-6042	441	45	,	,	PUNCT
ejpam-6042	441	46	where	where	SCONJ
ejpam-6042	441	47	the	the	DET
ejpam-6042	441	48	complexity	complexity	NOUN
ejpam-6042	441	49	of	of	ADP
ejpam-6042	441	50	a	a	DET
ejpam-6042	441	51	single	single	ADJ
ejpam-6042	441	52	function	function	NOUN
ejpam-6042	441	53	evaluation	evaluation	NOUN
ejpam-6042	441	54	is	be	AUX
ejpam-6042	441	55	lower	low	ADJ
ejpam-6042	441	56	than	than	ADP
ejpam-6042	441	57	that	that	PRON
ejpam-6042	441	58	of	of	ADP
ejpam-6042	441	59	the	the	DET
ejpam-6042	441	60	pfafrkn6	pfafrkn6	ADJ
ejpam-6042	441	61	-	-	PUNCT
ejpam-6042	441	62	6er	6er	NOUN
ejpam-6042	441	63	method	method	NOUN
ejpam-6042	441	64	which	which	PRON
ejpam-6042	441	65	is	be	AUX
ejpam-6042	441	66	of	of	ADP
ejpam-6042	441	67	sixth	sixth	ADJ
ejpam-6042	441	68	order	order	NOUN
ejpam-6042	441	69	and	and	CCONJ
ejpam-6042	441	70	the	the	DET
ejpam-6042	441	71	tfirkn5	tfirkn5	PROPN
ejpam-6042	441	72	method	method	NOUN
ejpam-6042	441	73	which	which	PRON
ejpam-6042	441	74	requires	require	VERB
ejpam-6042	441	75	the	the	DET
ejpam-6042	441	76	most	most	ADV
ejpam-6042	441	77	function	function	NOUN
ejpam-6042	441	78	evaluations	evaluation	NOUN
ejpam-6042	441	79	during	during	ADP
ejpam-6042	441	80	process	process	NOUN
ejpam-6042	441	81	.	.	PUNCT
ejpam-6042	442	1	overall	overall	ADV
ejpam-6042	442	2	,	,	PUNCT
ejpam-6042	442	3	the	the	DET
ejpam-6042	442	4	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	442	5	)	)	PUNCT
ejpam-6042	442	6	method	method	NOUN
ejpam-6042	442	7	outperforms	outperform	VERB
ejpam-6042	442	8	other	other	ADJ
ejpam-6042	442	9	compared	compare	VERB
ejpam-6042	442	10	methods	method	NOUN
ejpam-6042	442	11	when	when	SCONJ
ejpam-6042	442	12	solving	solve	VERB
ejpam-6042	442	13	special	special	ADJ
ejpam-6042	442	14	second	second	ADJ
ejpam-6042	442	15	order	order	NOUN
ejpam-6042	442	16	(	(	PUNCT
ejpam-6042	442	17	system	system	NOUN
ejpam-6042	442	18	)	)	PUNCT
ejpam-6042	442	19	odes	ode	NOUN
ejpam-6042	442	20	which	which	PRON
ejpam-6042	442	21	have	have	VERB
ejpam-6042	442	22	theoretical	theoretical	ADJ
ejpam-6042	442	23	solutions	solution	NOUN
ejpam-6042	442	24	.	.	PUNCT
ejpam-6042	443	1	this	this	PRON
ejpam-6042	443	2	is	be	AUX
ejpam-6042	443	3	due	due	ADJ
ejpam-6042	443	4	to	to	ADP
ejpam-6042	443	5	its	its	PRON
ejpam-6042	443	6	lowest	low	ADJ
ejpam-6042	443	7	mgte	mgte	NOUN
ejpam-6042	443	8	,	,	PUNCT
ejpam-6042	443	9	which	which	PRON
ejpam-6042	443	10	translates	translate	VERB
ejpam-6042	443	11	to	to	ADP
ejpam-6042	443	12	the	the	DET
ejpam-6042	443	13	best	good	ADJ
ejpam-6042	443	14	accuracy	accuracy	NOUN
ejpam-6042	443	15	,	,	PUNCT
ejpam-6042	443	16	as	as	ADV
ejpam-6042	443	17	well	well	ADV
ejpam-6042	443	18	as	as	ADP
ejpam-6042	443	19	its	its	PRON
ejpam-6042	443	20	relatively	relatively	ADV
ejpam-6042	443	21	better	well	ADJ
ejpam-6042	443	22	convergence	convergence	NOUN
ejpam-6042	443	23	,	,	PUNCT
ejpam-6042	443	24	as	as	ADV
ejpam-6042	443	25	well	well	ADV
ejpam-6042	443	26	as	as	ADP
ejpam-6042	443	27	low	low	ADJ
ejpam-6042	443	28	number	number	NOUN
ejpam-6042	443	29	function	function	NOUN
ejpam-6042	443	30	evaluations	evaluation	NOUN
ejpam-6042	443	31	and	and	CCONJ
ejpam-6042	443	32	computational	computational	ADJ
ejpam-6042	443	33	time	time	NOUN
ejpam-6042	443	34	.	.	PUNCT
ejpam-6042	444	1	hence	hence	ADV
ejpam-6042	444	2	,	,	PUNCT
ejpam-6042	444	3	the	the	DET
ejpam-6042	444	4	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	444	5	)	)	PUNCT
ejpam-6042	444	6	method	method	NOUN
ejpam-6042	444	7	outperforms	outperform	VERB
ejpam-6042	444	8	other	other	ADJ
ejpam-6042	444	9	compared	compare	VERB
ejpam-6042	444	10	methods	method	NOUN
ejpam-6042	444	11	about	about	ADP
ejpam-6042	444	12	the	the	DET
ejpam-6042	444	13	effectiveness	effectiveness	NOUN
ejpam-6042	444	14	and	and	CCONJ
ejpam-6042	444	15	computational	computational	ADJ
ejpam-6042	444	16	time	time	NOUN
ejpam-6042	444	17	.	.	PUNCT
ejpam-6042	445	1	9	9	X
ejpam-6042	445	2	.	.	X
ejpam-6042	445	3	further	further	ADJ
ejpam-6042	445	4	study	study	NOUN
ejpam-6042	445	5	for	for	ADP
ejpam-6042	445	6	real	real	ADJ
ejpam-6042	445	7	-	-	PUNCT
ejpam-6042	445	8	world	world	NOUN
ejpam-6042	445	9	experiment	experiment	NOUN
ejpam-6042	445	10	6	6	NUM
ejpam-6042	445	11	9.1	9.1	NUM
ejpam-6042	445	12	.	.	PUNCT
ejpam-6042	446	1	theoretical	theoretical	ADJ
ejpam-6042	446	2	verification	verification	NOUN
ejpam-6042	446	3	of	of	ADP
ejpam-6042	446	4	energy	energy	NOUN
ejpam-6042	446	5	preservation	preservation	NOUN
ejpam-6042	446	6	for	for	ADP
ejpam-6042	446	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	446	8	)	)	PUNCT
ejpam-6042	446	9	background	background	NOUN
ejpam-6042	446	10	and	and	CCONJ
ejpam-6042	446	11	notation	notation	NOUN
ejpam-6042	446	12	consider	consider	VERB
ejpam-6042	446	13	the	the	DET
ejpam-6042	446	14	second	second	ADJ
ejpam-6042	446	15	-	-	PUNCT
ejpam-6042	446	16	order	order	NOUN
ejpam-6042	446	17	hamiltonian	hamiltonian	ADJ
ejpam-6042	446	18	system	system	NOUN
ejpam-6042	446	19	q′′(t	q′′(t	NOUN
ejpam-6042	446	20	)	)	PUNCT
ejpam-6042	446	21	=	=	SYM
ejpam-6042	446	22	f(q(t	f(q(t	NOUN
ejpam-6042	446	23	)	)	PUNCT
ejpam-6042	446	24	)	)	PUNCT
ejpam-6042	447	1	=	=	SYM
ejpam-6042	447	2	−∇u(q(t	−∇u(q(t	X
ejpam-6042	447	3	)	)	PUNCT
ejpam-6042	447	4	)	)	PUNCT
ejpam-6042	447	5	,	,	PUNCT
ejpam-6042	447	6	p	p	X
ejpam-6042	447	7	:	:	PUNCT
ejpam-6042	447	8	=	=	SYM
ejpam-6042	447	9	q′.	q′.	DET
ejpam-6042	447	10	the	the	DET
ejpam-6042	447	11	hamiltonian	hamiltonian	NOUN
ejpam-6042	447	12	(	(	PUNCT
ejpam-6042	447	13	total	total	ADJ
ejpam-6042	447	14	energy	energy	NOUN
ejpam-6042	447	15	)	)	PUNCT
ejpam-6042	447	16	is	be	AUX
ejpam-6042	447	17	h(q	h(q	ADJ
ejpam-6042	447	18	,	,	PUNCT
ejpam-6042	447	19	p	p	X
ejpam-6042	447	20	)	)	PUNCT
ejpam-6042	447	21	=	=	SYM
ejpam-6042	447	22	1	1	NUM
ejpam-6042	447	23	2	2	NUM
ejpam-6042	447	24	pt	pt	NOUN
ejpam-6042	447	25	p+	p+	X
ejpam-6042	447	26	u(q	u(q	ADV
ejpam-6042	447	27	)	)	PUNCT
ejpam-6042	447	28	.	.	PUNCT
ejpam-6042	448	1	we	we	PRON
ejpam-6042	448	2	denote	denote	VERB
ejpam-6042	448	3	by	by	ADP
ejpam-6042	448	4	qn	qn	PROPN
ejpam-6042	448	5	,	,	PUNCT
ejpam-6042	448	6	pn	pn	PROPN
ejpam-6042	448	7	the	the	DET
ejpam-6042	448	8	numerical	numerical	ADJ
ejpam-6042	448	9	approximations	approximation	NOUN
ejpam-6042	448	10	at	at	ADP
ejpam-6042	448	11	time	time	NOUN
ejpam-6042	448	12	tn	tn	PROPN
ejpam-6042	448	13	and	and	CCONJ
ejpam-6042	448	14	by	by	ADP
ejpam-6042	448	15	qn+1	qn+1	NUM
ejpam-6042	448	16	,	,	PUNCT
ejpam-6042	448	17	pn+1	pn+1	VERB
ejpam-6042	448	18	their	their	PRON
ejpam-6042	448	19	one	one	NUM
ejpam-6042	448	20	-	-	PUNCT
ejpam-6042	448	21	step	step	NOUN
ejpam-6042	448	22	updates	update	NOUN
ejpam-6042	448	23	by	by	ADP
ejpam-6042	448	24	the	the	DET
ejpam-6042	448	25	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	448	26	)	)	PUNCT
ejpam-6042	448	27	method	method	NOUN
ejpam-6042	448	28	with	with	ADP
ejpam-6042	448	29	stepsize	stepsize	PROPN
ejpam-6042	448	30	h.	h.	PROPN
ejpam-6042	448	31	the	the	DET
ejpam-6042	448	32	goal	goal	NOUN
ejpam-6042	448	33	is	be	AUX
ejpam-6042	448	34	to	to	PART
ejpam-6042	448	35	prove	prove	VERB
ejpam-6042	448	36	∆h	∆h	PROPN
ejpam-6042	448	37	:	:	PUNCT
ejpam-6042	448	38	=	=	SYM
ejpam-6042	448	39	h(qn+1	h(qn+1	PROPN
ejpam-6042	448	40	,	,	PUNCT
ejpam-6042	448	41	pn+1)−h(qn	pn+1)−h(qn	PROPN
ejpam-6042	448	42	,	,	PUNCT
ejpam-6042	448	43	pn	pn	NOUN
ejpam-6042	448	44	)	)	PUNCT
ejpam-6042	448	45	=	=	SYM
ejpam-6042	448	46	o(h6	o(h6	ADJ
ejpam-6042	448	47	)	)	PUNCT
ejpam-6042	448	48	,	,	PUNCT
ejpam-6042	448	49	i.e.	i.e.	X
ejpam-6042	448	50	the	the	DET
ejpam-6042	448	51	local	local	ADJ
ejpam-6042	448	52	energy	energy	NOUN
ejpam-6042	448	53	error	error	NOUN
ejpam-6042	448	54	is	be	AUX
ejpam-6042	448	55	of	of	ADP
ejpam-6042	448	56	order	order	NOUN
ejpam-6042	448	57	h6	h6	PROPN
ejpam-6042	448	58	(	(	PUNCT
ejpam-6042	448	59	so	so	SCONJ
ejpam-6042	448	60	energy	energy	NOUN
ejpam-6042	448	61	is	be	AUX
ejpam-6042	448	62	preserved	preserve	VERB
ejpam-6042	448	63	up	up	ADP
ejpam-6042	448	64	to	to	ADP
ejpam-6042	448	65	the	the	DET
ejpam-6042	448	66	method	method	NOUN
ejpam-6042	448	67	order	order	NOUN
ejpam-6042	448	68	)	)	PUNCT
ejpam-6042	448	69	.	.	PUNCT
ejpam-6042	449	1	the	the	DET
ejpam-6042	449	2	three	three	NUM
ejpam-6042	449	3	-	-	PUNCT
ejpam-6042	449	4	stage	stage	NOUN
ejpam-6042	449	5	two	two	NUM
ejpam-6042	449	6	-	-	PUNCT
ejpam-6042	449	7	derivative	derivative	NOUN
ejpam-6042	449	8	runge	runge	NOUN
ejpam-6042	449	9	–	–	PUNCT
ejpam-6042	449	10	kutta	kutta	PROPN
ejpam-6042	449	11	–	–	PUNCT
ejpam-6042	449	12	nyström	nyström	PRON
ejpam-6042	449	13	update	update	NOUN
ejpam-6042	449	14	has	have	VERB
ejpam-6042	449	15	the	the	DET
ejpam-6042	449	16	form	form	NOUN
ejpam-6042	449	17	(	(	PUNCT
ejpam-6042	449	18	matching	match	VERB
ejpam-6042	449	19	the	the	DET
ejpam-6042	449	20	equation	equation	NOUN
ejpam-6042	449	21	in	in	ADP
ejpam-6042	449	22	hamiltonian	hamiltonian	ADJ
ejpam-6042	449	23	system	system	NOUN
ejpam-6042	449	24	)	)	PUNCT
ejpam-6042	449	25	qn+1	qn+1	PROPN
ejpam-6042	450	1	=	=	SYM
ejpam-6042	450	2	qn	qn	PROPN
ejpam-6042	450	3	+	+	X
ejpam-6042	450	4	hpn	hpn	X
ejpam-6042	450	5	+	+	CCONJ
ejpam-6042	450	6	h2	h2	NOUN
ejpam-6042	450	7	2	2	NUM
ejpam-6042	450	8	fn	fn	NOUN
ejpam-6042	450	9	+	+	NUM
ejpam-6042	450	10	h3	h3	VERB
ejpam-6042	450	11	3∑	3∑	PROPN
ejpam-6042	450	12	i=1	i=1	PRON
ejpam-6042	451	1	d̄i	d̄i	PROPN
ejpam-6042	451	2	ℓi	ℓi	PROPN
ejpam-6042	451	3	,	,	PUNCT
ejpam-6042	451	4	pn+1	pn+1	PROPN
ejpam-6042	451	5	=	=	SYM
ejpam-6042	451	6	pn	pn	PROPN
ejpam-6042	451	7	+	+	NUM
ejpam-6042	451	8	hfn	hfn	NOUN
ejpam-6042	451	9	+	+	CCONJ
ejpam-6042	451	10	h2	h2	NOUN
ejpam-6042	451	11	3∑	3∑	NUM
ejpam-6042	451	12	i=1	i=1	PROPN
ejpam-6042	451	13	d̃i	d̃i	ADJ
ejpam-6042	451	14	ℓi	ℓi	PROPN
ejpam-6042	451	15	,	,	PUNCT
ejpam-6042	451	16	(	(	PUNCT
ejpam-6042	451	17	50	50	NUM
ejpam-6042	451	18	)	)	PUNCT
ejpam-6042	451	19	where	where	SCONJ
ejpam-6042	451	20	fn	fn	NOUN
ejpam-6042	451	21	:	:	PUNCT
ejpam-6042	451	22	=	=	SYM
ejpam-6042	451	23	f(qn	f(qn	PROPN
ejpam-6042	451	24	)	)	PUNCT
ejpam-6042	451	25	=	=	SYM
ejpam-6042	452	1	−∇u(qn	−∇u(qn	PROPN
ejpam-6042	452	2	)	)	PUNCT
ejpam-6042	452	3	and	and	CCONJ
ejpam-6042	452	4	each	each	DET
ejpam-6042	452	5	stage	stage	NOUN
ejpam-6042	452	6	evaluation	evaluation	NOUN
ejpam-6042	452	7	ℓi	ℓi	PROPN
ejpam-6042	452	8	is	be	AUX
ejpam-6042	452	9	a	a	DET
ejpam-6042	452	10	shorthand	shorthand	NOUN
ejpam-6042	452	11	for	for	ADP
ejpam-6042	452	12	the	the	DET
ejpam-6042	452	13	twoderivative	twoderivative	ADJ
ejpam-6042	452	14	evaluation	evaluation	NOUN
ejpam-6042	452	15	at	at	ADP
ejpam-6042	452	16	the	the	DET
ejpam-6042	452	17	i	i	PROPN
ejpam-6042	452	18	-	-	PUNCT
ejpam-6042	452	19	th	th	VERB
ejpam-6042	452	20	stage	stage	NOUN
ejpam-6042	452	21	,	,	PUNCT
ejpam-6042	452	22	ℓi	ℓi	PROPN
ejpam-6042	452	23	=	=	SYM
ejpam-6042	452	24	g	g	PROPN
ejpam-6042	452	25	(	(	PUNCT
ejpam-6042	452	26	tn	tn	PROPN
ejpam-6042	452	27	+	+	CCONJ
ejpam-6042	452	28	cih	cih	PROPN
ejpam-6042	452	29	,	,	PUNCT
ejpam-6042	452	30	ui	ui	PROPN
ejpam-6042	452	31	,	,	PUNCT
ejpam-6042	452	32	u	u	NOUN
ejpam-6042	452	33	′	′	NUM
ejpam-6042	452	34	i	i	NOUN
ejpam-6042	452	35	)	)	PUNCT
ejpam-6042	452	36	,	,	PUNCT
ejpam-6042	452	37	z.	z.	PROPN
ejpam-6042	452	38	sun	sun	PROPN
ejpam-6042	452	39	et	et	PROPN
ejpam-6042	452	40	al	al	PROPN
ejpam-6042	452	41	.	.	PUNCT
ejpam-6042	452	42	/	/	SYM
ejpam-6042	452	43	eur	eur	PROPN
ejpam-6042	452	44	.	.	PUNCT
ejpam-6042	453	1	j.	j.	PROPN
ejpam-6042	453	2	pure	pure	PROPN
ejpam-6042	453	3	appl	appl	PROPN
ejpam-6042	453	4	.	.	PROPN
ejpam-6042	453	5	math	math	PROPN
ejpam-6042	453	6	,	,	PUNCT
ejpam-6042	453	7	18	18	NUM
ejpam-6042	453	8	(	(	PUNCT
ejpam-6042	453	9	4	4	NUM
ejpam-6042	453	10	)	)	PUNCT
ejpam-6042	453	11	(	(	PUNCT
ejpam-6042	453	12	2025	2025	NUM
ejpam-6042	453	13	)	)	PUNCT
ejpam-6042	453	14	,	,	PUNCT
ejpam-6042	453	15	6042	6042	NUM
ejpam-6042	453	16	33	33	NUM
ejpam-6042	453	17	of	of	ADP
ejpam-6042	453	18	45	45	NUM
ejpam-6042	453	19	and	and	CCONJ
ejpam-6042	453	20	the	the	DET
ejpam-6042	453	21	stages	stage	NOUN
ejpam-6042	453	22	ui	ui	PROPN
ejpam-6042	453	23	,	,	PUNCT
ejpam-6042	453	24	u	u	NOUN
ejpam-6042	453	25	′	′	NOUN
ejpam-6042	454	1	i	i	PRON
ejpam-6042	454	2	depend	depend	VERB
ejpam-6042	454	3	on	on	ADP
ejpam-6042	454	4	qn	qn	PROPN
ejpam-6042	454	5	,	,	PUNCT
ejpam-6042	454	6	pn	pn	PROPN
ejpam-6042	454	7	,	,	PUNCT
ejpam-6042	454	8	fn	fn	NOUN
ejpam-6042	454	9	,	,	PUNCT
ejpam-6042	454	10	{	{	PUNCT
ejpam-6042	454	11	āijandãij	āijandãij	NOUN
ejpam-6042	454	12	}	}	PUNCT
ejpam-6042	454	13	.	.	PUNCT
ejpam-6042	455	1	for	for	ADP
ejpam-6042	455	2	the	the	DET
ejpam-6042	455	3	algebra	algebra	NOUN
ejpam-6042	455	4	below	below	ADP
ejpam-6042	455	5	it	it	PRON
ejpam-6042	455	6	suffices	suffice	VERB
ejpam-6042	455	7	that	that	SCONJ
ejpam-6042	455	8	the	the	DET
ejpam-6042	455	9	method	method	NOUN
ejpam-6042	455	10	coefficients	coefficient	NOUN
ejpam-6042	455	11	{	{	PUNCT
ejpam-6042	455	12	ci	ci	NOUN
ejpam-6042	455	13	,	,	PUNCT
ejpam-6042	455	14	āij	āij	PROPN
ejpam-6042	455	15	,	,	PUNCT
ejpam-6042	455	16	ãij	ãij	PROPN
ejpam-6042	455	17	,	,	PUNCT
ejpam-6042	455	18	d̄i	d̄i	PROPN
ejpam-6042	455	19	,	,	PUNCT
ejpam-6042	455	20	d̃i	d̃i	ADJ
ejpam-6042	455	21	}	}	PUNCT
ejpam-6042	455	22	satisfy	satisfy	VERB
ejpam-6042	455	23	the	the	DET
ejpam-6042	455	24	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	455	25	)	)	PUNCT
ejpam-6042	455	26	order	order	NOUN
ejpam-6042	455	27	conditions	condition	NOUN
ejpam-6042	455	28	(	(	PUNCT
ejpam-6042	455	29	these	these	PRON
ejpam-6042	455	30	will	will	AUX
ejpam-6042	455	31	be	be	AUX
ejpam-6042	455	32	used	use	VERB
ejpam-6042	455	33	to	to	PART
ejpam-6042	455	34	cancel	cancel	VERB
ejpam-6042	455	35	coefficient	coefficient	NOUN
ejpam-6042	455	36	combinations	combination	NOUN
ejpam-6042	455	37	)	)	PUNCT
ejpam-6042	455	38	.	.	PUNCT
ejpam-6042	456	1	step	step	NOUN
ejpam-6042	456	2	1	1	NUM
ejpam-6042	456	3	:	:	PUNCT
ejpam-6042	456	4	expand	expand	VERB
ejpam-6042	456	5	the	the	DET
ejpam-6042	456	6	kinetic	kinetic	ADJ
ejpam-6042	456	7	energy	energy	NOUN
ejpam-6042	456	8	term	term	NOUN
ejpam-6042	456	9	.	.	PUNCT
ejpam-6042	457	1	compute	compute	VERB
ejpam-6042	457	2	the	the	DET
ejpam-6042	457	3	kinetic	kinetic	ADJ
ejpam-6042	457	4	part	part	NOUN
ejpam-6042	457	5	at	at	ADP
ejpam-6042	457	6	n+	n+	ADP
ejpam-6042	457	7	1	1	NUM
ejpam-6042	457	8	:	:	SYM
ejpam-6042	457	9	1	1	NUM
ejpam-6042	457	10	2	2	NUM
ejpam-6042	457	11	ptn+1pn+1	ptn+1pn+1	NOUN
ejpam-6042	457	12	=	=	SYM
ejpam-6042	457	13	1	1	NUM
ejpam-6042	457	14	2	2	NUM
ejpam-6042	457	15	(	(	PUNCT
ejpam-6042	457	16	pn	pn	NOUN
ejpam-6042	457	17	+	+	NUM
ejpam-6042	457	18	hfn	hfn	NOUN
ejpam-6042	457	19	+	+	X
ejpam-6042	457	20	h2	h2	NOUN
ejpam-6042	457	21	∑	∑	PUNCT
ejpam-6042	457	22	i	i	PRON
ejpam-6042	457	23	d̃iℓi	d̃iℓi	VERB
ejpam-6042	457	24	)	)	PUNCT
ejpam-6042	458	1	t	t	PROPN
ejpam-6042	458	2	(	(	PUNCT
ejpam-6042	458	3	pn	pn	NOUN
ejpam-6042	458	4	+	+	CCONJ
ejpam-6042	458	5	hfn	hfn	NOUN
ejpam-6042	458	6	+	+	X
ejpam-6042	458	7	h2	h2	PROPN
ejpam-6042	458	8	∑	∑	PROPN
ejpam-6042	458	9	j	j	PROPN
ejpam-6042	458	10	d̃jℓj	d̃jℓj	NOUN
ejpam-6042	458	11	)	)	PUNCT
ejpam-6042	458	12	=	=	SYM
ejpam-6042	458	13	1	1	NUM
ejpam-6042	458	14	2	2	NUM
ejpam-6042	458	15	ptnpn	ptnpn	NOUN
ejpam-6042	458	16	+	+	CCONJ
ejpam-6042	458	17	h	h	PROPN
ejpam-6042	458	18	ptnfn	ptnfn	PROPN
ejpam-6042	458	19	+	+	CCONJ
ejpam-6042	458	20	h2	h2	PROPN
ejpam-6042	458	21	2	2	NUM
ejpam-6042	458	22	ftn	ftn	NOUN
ejpam-6042	458	23	fn	fn	NOUN
ejpam-6042	459	1	+	+	CCONJ
ejpam-6042	459	2	h2ptn	h2ptn	PROPN
ejpam-6042	459	3	∑	∑	PUNCT
ejpam-6042	459	4	i	i	PRON
ejpam-6042	459	5	d̃iℓi	d̃iℓi	VERB
ejpam-6042	459	6	+	+	CCONJ
ejpam-6042	459	7	h3ftn	h3ftn	NUM
ejpam-6042	459	8	∑	∑	PUNCT
ejpam-6042	459	9	i	i	PRON
ejpam-6042	459	10	d̃iℓi	d̃iℓi	VERB
ejpam-6042	459	11	+	+	CCONJ
ejpam-6042	459	12	h4	h4	PROPN
ejpam-6042	459	13	2	2	NUM
ejpam-6042	459	14	(	(	PUNCT
ejpam-6042	459	15	∑	∑	PUNCT
ejpam-6042	459	16	i	i	PRON
ejpam-6042	459	17	d̃iℓi	d̃iℓi	NOUN
ejpam-6042	459	18	)	)	PUNCT
ejpam-6042	459	19	t(∑	t(∑	ADJ
ejpam-6042	459	20	j	j	NOUN
ejpam-6042	459	21	d̃jℓj	d̃jℓj	NOUN
ejpam-6042	459	22	)	)	PUNCT
ejpam-6042	459	23	.	.	PUNCT
ejpam-6042	460	1	retain	retain	VERB
ejpam-6042	460	2	all	all	DET
ejpam-6042	460	3	terms	term	NOUN
ejpam-6042	460	4	up	up	ADP
ejpam-6042	460	5	to	to	PART
ejpam-6042	460	6	order	order	VERB
ejpam-6042	460	7	h5	h5	NOUN
ejpam-6042	460	8	(	(	PUNCT
ejpam-6042	460	9	the	the	DET
ejpam-6042	460	10	last	last	ADJ
ejpam-6042	460	11	displayed	display	VERB
ejpam-6042	460	12	term	term	NOUN
ejpam-6042	460	13	is	be	AUX
ejpam-6042	460	14	o(h4	o(h4	NOUN
ejpam-6042	460	15	·	·	SYM
ejpam-6042	460	16	ℓ2	ℓ2	PROPN
ejpam-6042	460	17	)	)	PUNCT
ejpam-6042	460	18	;	;	PUNCT
ejpam-6042	460	19	since	since	SCONJ
ejpam-6042	460	20	we	we	PRON
ejpam-6042	460	21	assume	assume	VERB
ejpam-6042	460	22	ℓ	ℓ	NOUN
ejpam-6042	460	23	=	=	PUNCT
ejpam-6042	460	24	o(1	o(1	PROPN
ejpam-6042	460	25	)	)	PUNCT
ejpam-6042	460	26	these	these	DET
ejpam-6042	460	27	terms	term	NOUN
ejpam-6042	460	28	are	be	AUX
ejpam-6042	460	29	of	of	ADP
ejpam-6042	460	30	order	order	NOUN
ejpam-6042	460	31	o(h4	o(h4	NOUN
ejpam-6042	460	32	)	)	PUNCT
ejpam-6042	460	33	or	or	CCONJ
ejpam-6042	460	34	higher	high	ADJ
ejpam-6042	460	35	)	)	PUNCT
ejpam-6042	460	36	.	.	PUNCT
ejpam-6042	461	1	step	step	NOUN
ejpam-6042	461	2	2	2	NUM
ejpam-6042	461	3	:	:	PUNCT
ejpam-6042	461	4	expand	expand	VERB
ejpam-6042	461	5	the	the	DET
ejpam-6042	461	6	potential	potential	ADJ
ejpam-6042	461	7	energy	energy	NOUN
ejpam-6042	461	8	term	term	NOUN
ejpam-6042	461	9	.	.	PUNCT
ejpam-6042	462	1	taylor	taylor	PROPN
ejpam-6042	462	2	-	-	PUNCT
ejpam-6042	462	3	expand	expand	VERB
ejpam-6042	462	4	u(qn+1	u(qn+1	NOUN
ejpam-6042	462	5	)	)	PUNCT
ejpam-6042	462	6	about	about	ADP
ejpam-6042	462	7	qn	qn	INTJ
ejpam-6042	462	8	.	.	PUNCT
ejpam-6042	463	1	using	use	VERB
ejpam-6042	463	2	(	(	PUNCT
ejpam-6042	463	3	50	50	NUM
ejpam-6042	463	4	)	)	PUNCT
ejpam-6042	463	5	write	write	VERB
ejpam-6042	463	6	∆q	∆q	PROPN
ejpam-6042	463	7	:	:	PUNCT
ejpam-6042	463	8	=	=	SYM
ejpam-6042	463	9	qn+1	qn+1	VERB
ejpam-6042	463	10	−	−	NOUN
ejpam-6042	463	11	qn	qn	NOUN
ejpam-6042	463	12	=	=	X
ejpam-6042	463	13	hpn	hpn	PROPN
ejpam-6042	463	14	+	+	CCONJ
ejpam-6042	463	15	h2	h2	NOUN
ejpam-6042	463	16	2	2	NUM
ejpam-6042	463	17	fn	fn	NOUN
ejpam-6042	463	18	+	+	NUM
ejpam-6042	463	19	h3	h3	NOUN
ejpam-6042	463	20	∑	∑	PROPN
ejpam-6042	463	21	i	i	PRON
ejpam-6042	463	22	d̄iℓi	d̄iℓi	PROPN
ejpam-6042	463	23	,	,	PUNCT
ejpam-6042	463	24	and	and	CCONJ
ejpam-6042	463	25	expand	expand	VERB
ejpam-6042	463	26	:	:	PUNCT
ejpam-6042	463	27	u(qn+1	u(qn+1	X
ejpam-6042	463	28	)	)	PUNCT
ejpam-6042	463	29	=	=	SYM
ejpam-6042	463	30	u(qn	u(qn	PROPN
ejpam-6042	463	31	)	)	PUNCT
ejpam-6042	464	1	+	+	NOUN
ejpam-6042	464	2	∇u(qn	∇u(qn	X
ejpam-6042	464	3	)	)	PUNCT
ejpam-6042	464	4	t∆q	t∆q	VERB
ejpam-6042	465	1	+	+	CCONJ
ejpam-6042	465	2	1	1	NUM
ejpam-6042	465	3	2	2	NUM
ejpam-6042	465	4	∆qt∇2u(qn)∆q	∆qt∇2u(qn)∆q	NOUN
ejpam-6042	465	5	+	+	CCONJ
ejpam-6042	465	6	1	1	NUM
ejpam-6042	465	7	6	6	NUM
ejpam-6042	465	8	d3u(qn)[∆q,∆q,∆q	d3u(qn)[∆q,∆q,∆q	PROPN
ejpam-6042	465	9	]	]	X
ejpam-6042	465	10	+	+	NOUN
ejpam-6042	465	11	o(∥∆q∥4	o(∥∆q∥4	NUM
ejpam-6042	465	12	)	)	PUNCT
ejpam-6042	465	13	.	.	PUNCT
ejpam-6042	466	1	substitute	substitute	PROPN
ejpam-6042	466	2	∆q	∆q	PROPN
ejpam-6042	466	3	;	;	PUNCT
ejpam-6042	466	4	using	use	VERB
ejpam-6042	466	5	fn	fn	NOUN
ejpam-6042	466	6	=	=	PUNCT
ejpam-6042	466	7	−∇u(qn	−∇u(qn	PROPN
ejpam-6042	466	8	)	)	PUNCT
ejpam-6042	466	9	we	we	PRON
ejpam-6042	466	10	get	get	VERB
ejpam-6042	466	11	u(qn+1	u(qn+1	PUNCT
ejpam-6042	466	12	)	)	PUNCT
ejpam-6042	466	13	=	=	SYM
ejpam-6042	466	14	u(qn	u(qn	PROPN
ejpam-6042	466	15	)	)	PUNCT
ejpam-6042	467	1	+	+	NUM
ejpam-6042	467	2	h∇u(qn	h∇u(qn	PROPN
ejpam-6042	467	3	)	)	PUNCT
ejpam-6042	467	4	t	t	PROPN
ejpam-6042	467	5	pn	pn	PROPN
ejpam-6042	467	6	+	+	CCONJ
ejpam-6042	467	7	h2	h2	PROPN
ejpam-6042	467	8	2	2	NUM
ejpam-6042	467	9	∇u(qn	∇u(qn	PROPN
ejpam-6042	467	10	)	)	PUNCT
ejpam-6042	467	11	t	t	PROPN
ejpam-6042	467	12	fn	fn	NOUN
ejpam-6042	468	1	+	+	CCONJ
ejpam-6042	468	2	h3∇u(qn	h3∇u(qn	NOUN
ejpam-6042	468	3	)	)	PUNCT
ejpam-6042	468	4	t	t	PROPN
ejpam-6042	468	5	∑	∑	PUNCT
ejpam-6042	468	6	i	i	PRON
ejpam-6042	468	7	d̄iℓi	d̄iℓi	PROPN
ejpam-6042	469	1	+	+	CCONJ
ejpam-6042	469	2	h2	h2	PROPN
ejpam-6042	469	3	2	2	NUM
ejpam-6042	469	4	ptn∇2u(qn)pn	ptn∇2u(qn)pn	NOUN
ejpam-6042	469	5	+	+	CCONJ
ejpam-6042	469	6	h3ptn∇2u(qn	h3ptn∇2u(qn	NOUN
ejpam-6042	469	7	)	)	PUNCT
ejpam-6042	469	8	h	h	NOUN
ejpam-6042	469	9	2	2	NUM
ejpam-6042	469	10	fn	fn	NOUN
ejpam-6042	469	11	+	+	ADJ
ejpam-6042	469	12	o(h3	o(h3	NOUN
ejpam-6042	469	13	·	·	SYM
ejpam-6042	469	14	h3	h3	NOUN
ejpam-6042	469	15	)	)	PUNCT
ejpam-6042	469	16	.	.	PUNCT
ejpam-6042	470	1	retain	retain	VERB
ejpam-6042	470	2	terms	term	NOUN
ejpam-6042	470	3	up	up	ADP
ejpam-6042	470	4	to	to	PART
ejpam-6042	470	5	order	order	VERB
ejpam-6042	470	6	h5	h5	NOUN
ejpam-6042	470	7	;	;	PUNCT
ejpam-6042	470	8	higher	high	ADJ
ejpam-6042	470	9	-	-	PUNCT
ejpam-6042	470	10	order	order	NOUN
ejpam-6042	470	11	terms	term	NOUN
ejpam-6042	470	12	will	will	AUX
ejpam-6042	470	13	be	be	AUX
ejpam-6042	470	14	grouped	group	VERB
ejpam-6042	470	15	later	later	ADV
ejpam-6042	470	16	into	into	ADP
ejpam-6042	470	17	o(h6	o(h6	ADJ
ejpam-6042	470	18	)	)	PUNCT
ejpam-6042	470	19	.	.	PUNCT
ejpam-6042	471	1	step	step	NOUN
ejpam-6042	471	2	3	3	NUM
ejpam-6042	471	3	:	:	PUNCT
ejpam-6042	471	4	assemble	assemble	VERB
ejpam-6042	471	5	∆h	∆h	PROPN
ejpam-6042	471	6	and	and	CCONJ
ejpam-6042	471	7	identify	identify	VERB
ejpam-6042	471	8	grouped	group	VERB
ejpam-6042	471	9	terms	term	NOUN
ejpam-6042	471	10	.	.	PUNCT
ejpam-6042	472	1	using	use	VERB
ejpam-6042	472	2	the	the	DET
ejpam-6042	472	3	expansions	expansion	NOUN
ejpam-6042	472	4	above	above	ADV
ejpam-6042	472	5	,	,	PUNCT
ejpam-6042	472	6	∆h	∆h	PROPN
ejpam-6042	472	7	=	=	SYM
ejpam-6042	472	8	(	(	PUNCT
ejpam-6042	472	9	1	1	NUM
ejpam-6042	472	10	2	2	NUM
ejpam-6042	472	11	ptn+1pn+1	ptn+1pn+1	NOUN
ejpam-6042	472	12	−	−	NOUN
ejpam-6042	472	13	1	1	NUM
ejpam-6042	472	14	2	2	NUM
ejpam-6042	472	15	ptnpn	ptnpn	NOUN
ejpam-6042	472	16	)	)	PUNCT
ejpam-6042	473	1	+	+	CCONJ
ejpam-6042	473	2	(	(	PUNCT
ejpam-6042	473	3	u(qn+1)−	u(qn+1)−	PROPN
ejpam-6042	473	4	u(qn	u(qn	PROPN
ejpam-6042	473	5	)	)	PUNCT
ejpam-6042	473	6	)	)	PUNCT
ejpam-6042	474	1	=	=	PUNCT
ejpam-6042	474	2	[	[	PUNCT
ejpam-6042	474	3	hptnfn	hptnfn	PROPN
ejpam-6042	474	4	+	+	CCONJ
ejpam-6042	474	5	h2	h2	PROPN
ejpam-6042	474	6	2	2	NUM
ejpam-6042	474	7	ftn	ftn	NOUN
ejpam-6042	474	8	fn	fn	NOUN
ejpam-6042	475	1	+	+	CCONJ
ejpam-6042	475	2	h2ptn	h2ptn	PROPN
ejpam-6042	475	3	∑	∑	PUNCT
ejpam-6042	475	4	i	i	PRON
ejpam-6042	475	5	d̃iℓi	d̃iℓi	VERB
ejpam-6042	475	6	+	+	CCONJ
ejpam-6042	475	7	h3ftn	h3ftn	NUM
ejpam-6042	475	8	∑	∑	PUNCT
ejpam-6042	475	9	i	i	PRON
ejpam-6042	475	10	d̃iℓi	d̃iℓi	VERB
ejpam-6042	475	11	+	+	CCONJ
ejpam-6042	475	12	h4	h4	PROPN
ejpam-6042	475	13	2	2	NUM
ejpam-6042	475	14	∥	∥	NUM
ejpam-6042	475	15	∑	∑	PUNCT
ejpam-6042	476	1	i	i	PRON
ejpam-6042	476	2	d̃iℓi∥2	d̃iℓi∥2	VERB
ejpam-6042	476	3	]	]	PUNCT
ejpam-6042	477	1	+	+	CCONJ
ejpam-6042	477	2	[	[	PUNCT
ejpam-6042	477	3	h∇u(qn	h∇u(qn	PROPN
ejpam-6042	477	4	)	)	PUNCT
ejpam-6042	477	5	t	t	PROPN
ejpam-6042	477	6	pn	pn	PROPN
ejpam-6042	477	7	+	+	CCONJ
ejpam-6042	477	8	h2	h2	PROPN
ejpam-6042	477	9	2	2	NUM
ejpam-6042	477	10	∇u(qn	∇u(qn	PROPN
ejpam-6042	477	11	)	)	PUNCT
ejpam-6042	477	12	t	t	PROPN
ejpam-6042	477	13	fn	fn	NOUN
ejpam-6042	478	1	+	+	CCONJ
ejpam-6042	478	2	h3∇u(qn	h3∇u(qn	NOUN
ejpam-6042	478	3	)	)	PUNCT
ejpam-6042	478	4	t	t	PROPN
ejpam-6042	478	5	∑	∑	PUNCT
ejpam-6042	478	6	i	i	PRON
ejpam-6042	478	7	d̄iℓi	d̄iℓi	PROPN
ejpam-6042	479	1	+	+	CCONJ
ejpam-6042	479	2	h2	h2	PROPN
ejpam-6042	479	3	2	2	NUM
ejpam-6042	479	4	ptn∇2u(qn)pn	ptn∇2u(qn)pn	NOUN
ejpam-6042	479	5	+	+	CCONJ
ejpam-6042	479	6	h3(other	h3(other	X
ejpam-6042	479	7	pn	pn	X
ejpam-6042	479	8	,	,	PUNCT
ejpam-6042	479	9	fn	fn	ADJ
ejpam-6042	479	10	mixed	mixed	ADJ
ejpam-6042	479	11	terms	term	NOUN
ejpam-6042	479	12	)	)	PUNCT
ejpam-6042	479	13	]	]	PUNCT
ejpam-6042	479	14	−	−	PROPN
ejpam-6042	479	15	h	h	NOUN
ejpam-6042	479	16	ptn∇u(qn	ptn∇u(qn	PROPN
ejpam-6042	479	17	)	)	PUNCT
ejpam-6042	480	1	+	+	VERB
ejpam-6042	480	2	o(h6	o(h6	ADJ
ejpam-6042	480	3	)	)	PUNCT
ejpam-6042	480	4	.	.	PUNCT
ejpam-6042	481	1	z.	z.	PROPN
ejpam-6042	481	2	sun	sun	PROPN
ejpam-6042	481	3	et	et	PROPN
ejpam-6042	481	4	al	al	PROPN
ejpam-6042	481	5	.	.	PUNCT
ejpam-6042	481	6	/	/	SYM
ejpam-6042	481	7	eur	eur	PROPN
ejpam-6042	481	8	.	.	PUNCT
ejpam-6042	482	1	j.	j.	PROPN
ejpam-6042	482	2	pure	pure	PROPN
ejpam-6042	482	3	appl	appl	PROPN
ejpam-6042	482	4	.	.	PROPN
ejpam-6042	482	5	math	math	PROPN
ejpam-6042	482	6	,	,	PUNCT
ejpam-6042	482	7	18	18	NUM
ejpam-6042	482	8	(	(	PUNCT
ejpam-6042	482	9	4	4	NUM
ejpam-6042	482	10	)	)	PUNCT
ejpam-6042	482	11	(	(	PUNCT
ejpam-6042	482	12	2025	2025	NUM
ejpam-6042	482	13	)	)	PUNCT
ejpam-6042	482	14	,	,	PUNCT
ejpam-6042	482	15	6042	6042	NUM
ejpam-6042	482	16	34	34	NUM
ejpam-6042	482	17	of	of	ADP
ejpam-6042	482	18	45	45	NUM
ejpam-6042	482	19	now	now	ADV
ejpam-6042	482	20	use	use	VERB
ejpam-6042	482	21	fn	fn	NOUN
ejpam-6042	482	22	=	=	PUNCT
ejpam-6042	482	23	−∇u(qn	−∇u(qn	PROPN
ejpam-6042	482	24	)	)	PUNCT
ejpam-6042	482	25	.	.	PUNCT
ejpam-6042	483	1	several	several	ADJ
ejpam-6042	483	2	cancellations	cancellation	NOUN
ejpam-6042	483	3	are	be	AUX
ejpam-6042	483	4	immediate	immediate	ADJ
ejpam-6042	483	5	:	:	PUNCT
ejpam-6042	483	6	the	the	DET
ejpam-6042	483	7	o(h	o(h	PROPN
ejpam-6042	483	8	)	)	PUNCT
ejpam-6042	483	9	terms	term	NOUN
ejpam-6042	483	10	cancel	cancel	VERB
ejpam-6042	483	11	:	:	PUNCT
ejpam-6042	483	12	hptnfn	hptnfn	PROPN
ejpam-6042	483	13	+	+	CCONJ
ejpam-6042	483	14	h∇u(qn	h∇u(qn	PROPN
ejpam-6042	483	15	)	)	PUNCT
ejpam-6042	483	16	t	t	PROPN
ejpam-6042	483	17	pn	pn	PROPN
ejpam-6042	483	18	−	−	PROPN
ejpam-6042	483	19	hptn∇u(qn	hptn∇u(qn	PROPN
ejpam-6042	483	20	)	)	PUNCT
ejpam-6042	483	21	=	=	SYM
ejpam-6042	484	1	0	0	X
ejpam-6042	484	2	.	.	PUNCT
ejpam-6042	484	3	combine	combine	VERB
ejpam-6042	484	4	o(h2	o(h2	NOUN
ejpam-6042	484	5	)	)	PUNCT
ejpam-6042	484	6	terms	term	NOUN
ejpam-6042	484	7	.	.	PUNCT
ejpam-6042	485	1	replace	replace	VERB
ejpam-6042	485	2	∇u(qn	∇u(qn	PROPN
ejpam-6042	485	3	)	)	PUNCT
ejpam-6042	485	4	by	by	ADP
ejpam-6042	485	5	−fn	−fn	PRON
ejpam-6042	485	6	where	where	SCONJ
ejpam-6042	485	7	convenient	convenient	ADJ
ejpam-6042	485	8	:	:	PUNCT
ejpam-6042	485	9	h2	h2	NOUN
ejpam-6042	485	10	2	2	NUM
ejpam-6042	485	11	ftn	ftn	PROPN
ejpam-6042	485	12	fn	fn	PROPN
ejpam-6042	485	13	+	+	NUM
ejpam-6042	485	14	h2	h2	PROPN
ejpam-6042	485	15	2	2	NUM
ejpam-6042	485	16	∇u(qn	∇u(qn	PROPN
ejpam-6042	485	17	)	)	PUNCT
ejpam-6042	486	1	t	t	PROPN
ejpam-6042	486	2	fn	fn	NOUN
ejpam-6042	487	1	+	+	CCONJ
ejpam-6042	487	2	h2ptn	h2ptn	PROPN
ejpam-6042	487	3	∑	∑	PUNCT
ejpam-6042	487	4	i	i	PRON
ejpam-6042	487	5	d̃iℓi	d̃iℓi	VERB
ejpam-6042	487	6	+	+	CCONJ
ejpam-6042	487	7	h2	h2	NOUN
ejpam-6042	487	8	2	2	NUM
ejpam-6042	487	9	ptn∇2u(qn)pn	ptn∇2u(qn)pn	NOUN
ejpam-6042	487	10	=	=	PUNCT
ejpam-6042	487	11	h2	h2	NOUN
ejpam-6042	487	12	2	2	NUM
ejpam-6042	487	13	ftn	ftn	NOUN
ejpam-6042	487	14	fn	fn	NOUN
ejpam-6042	487	15	−	−	PROPN
ejpam-6042	487	16	h2	h2	NOUN
ejpam-6042	487	17	2	2	NUM
ejpam-6042	487	18	ftn	ftn	NOUN
ejpam-6042	487	19	fn	fn	NOUN
ejpam-6042	487	20	+	+	CCONJ
ejpam-6042	488	1	h2ptn	h2ptn	PROPN
ejpam-6042	489	1	∑	∑	PUNCT
ejpam-6042	490	1	i	i	PRON
ejpam-6042	490	2	d̃iℓi	d̃iℓi	VERB
ejpam-6042	490	3	+	+	CCONJ
ejpam-6042	490	4	h2	h2	NOUN
ejpam-6042	490	5	2	2	NUM
ejpam-6042	490	6	ptn∇2u(qn)pn	ptn∇2u(qn)pn	NOUN
ejpam-6042	490	7	=	=	SYM
ejpam-6042	490	8	h2ptn	h2ptn	X
ejpam-6042	490	9	∑	∑	PUNCT
ejpam-6042	490	10	i	i	PRON
ejpam-6042	490	11	d̃iℓi	d̃iℓi	VERB
ejpam-6042	490	12	+	+	CCONJ
ejpam-6042	490	13	h2	h2	NOUN
ejpam-6042	490	14	2	2	NUM
ejpam-6042	490	15	ptn∇2u(qn)pn	ptn∇2u(qn)pn	NOUN
ejpam-6042	490	16	.	.	PUNCT
ejpam-6042	491	1	the	the	DET
ejpam-6042	491	2	two	two	NUM
ejpam-6042	491	3	first	first	ADJ
ejpam-6042	491	4	terms	term	NOUN
ejpam-6042	491	5	cancel	cancel	VERB
ejpam-6042	491	6	exactly	exactly	ADV
ejpam-6042	491	7	.	.	PUNCT
ejpam-6042	492	1	the	the	DET
ejpam-6042	492	2	remaining	remain	VERB
ejpam-6042	492	3	h2	h2	NOUN
ejpam-6042	492	4	expression	expression	NOUN
ejpam-6042	492	5	involves	involve	VERB
ejpam-6042	492	6	pn	pn	NOUN
ejpam-6042	492	7	and	and	CCONJ
ejpam-6042	492	8	stage	stage	NOUN
ejpam-6042	492	9	contributions	contribution	NOUN
ejpam-6042	492	10	ℓi	ℓi	PROPN
ejpam-6042	492	11	.	.	PUNCT
ejpam-6042	493	1	these	these	PRON
ejpam-6042	493	2	are	be	AUX
ejpam-6042	493	3	not	not	PART
ejpam-6042	493	4	yet	yet	ADV
ejpam-6042	493	5	zero	zero	NUM
ejpam-6042	493	6	but	but	CCONJ
ejpam-6042	493	7	will	will	AUX
ejpam-6042	493	8	be	be	AUX
ejpam-6042	493	9	converted	convert	VERB
ejpam-6042	493	10	(	(	PUNCT
ejpam-6042	493	11	via	via	ADP
ejpam-6042	493	12	integration	integration	NOUN
ejpam-6042	493	13	-	-	PUNCT
ejpam-6042	493	14	by	by	ADP
ejpam-6042	493	15	-	-	PUNCT
ejpam-6042	493	16	parts	part	NOUN
ejpam-6042	493	17	like	like	ADP
ejpam-6042	493	18	manipulations	manipulation	NOUN
ejpam-6042	493	19	using	use	VERB
ejpam-6042	493	20	the	the	DET
ejpam-6042	493	21	stage	stage	NOUN
ejpam-6042	493	22	definitions	definition	NOUN
ejpam-6042	493	23	)	)	PUNCT
ejpam-6042	493	24	into	into	ADP
ejpam-6042	493	25	a	a	DET
ejpam-6042	493	26	symmetric	symmetric	ADJ
ejpam-6042	493	27	bilinear	bilinear	NOUN
ejpam-6042	493	28	form	form	NOUN
ejpam-6042	493	29	in	in	ADP
ejpam-6042	493	30	the	the	DET
ejpam-6042	493	31	stage	stage	NOUN
ejpam-6042	493	32	forces	force	NOUN
ejpam-6042	493	33	f(q	f(q	NOUN
ejpam-6042	493	34	·	·	PUNCT
ejpam-6042	493	35	)	)	PUNCT
ejpam-6042	493	36	with	with	ADP
ejpam-6042	493	37	kernel	kernel	PROPN
ejpam-6042	493	38	given	give	VERB
ejpam-6042	493	39	below	below	ADV
ejpam-6042	493	40	.	.	PUNCT
ejpam-6042	494	1	after	after	ADP
ejpam-6042	494	2	collecting	collect	VERB
ejpam-6042	494	3	all	all	DET
ejpam-6042	494	4	terms	term	NOUN
ejpam-6042	494	5	up	up	ADP
ejpam-6042	494	6	to	to	PART
ejpam-6042	494	7	order	order	VERB
ejpam-6042	494	8	h5	h5	NOUN
ejpam-6042	494	9	and	and	CCONJ
ejpam-6042	494	10	doing	do	VERB
ejpam-6042	494	11	the	the	DET
ejpam-6042	494	12	routine	routine	ADJ
ejpam-6042	494	13	algebra	algebra	NOUN
ejpam-6042	494	14	(	(	PUNCT
ejpam-6042	494	15	expand	expand	VERB
ejpam-6042	494	16	stages	stage	NOUN
ejpam-6042	494	17	ui	ui	PROPN
ejpam-6042	494	18	,	,	PUNCT
ejpam-6042	494	19	u	u	NOUN
ejpam-6042	494	20	′	′	NUM
ejpam-6042	495	1	i	i	PRON
ejpam-6042	495	2	in	in	ADP
ejpam-6042	495	3	taylor	taylor	PROPN
ejpam-6042	495	4	series	series	PROPN
ejpam-6042	495	5	about	about	ADP
ejpam-6042	495	6	(	(	PUNCT
ejpam-6042	495	7	qn	qn	INTJ
ejpam-6042	495	8	,	,	PUNCT
ejpam-6042	495	9	pn	pn	NOUN
ejpam-6042	495	10	)	)	PUNCT
ejpam-6042	495	11	,	,	PUNCT
ejpam-6042	495	12	replace	replace	VERB
ejpam-6042	495	13	stage	stage	NOUN
ejpam-6042	495	14	ℓi	ℓi	NOUN
ejpam-6042	495	15	by	by	ADP
ejpam-6042	495	16	their	their	PRON
ejpam-6042	495	17	expansions	expansion	NOUN
ejpam-6042	495	18	in	in	ADP
ejpam-6042	495	19	terms	term	NOUN
ejpam-6042	495	20	of	of	ADP
ejpam-6042	495	21	fn	fn	NOUN
ejpam-6042	495	22	and	and	CCONJ
ejpam-6042	495	23	derivatives	derivative	NOUN
ejpam-6042	495	24	)	)	PUNCT
ejpam-6042	495	25	,	,	PUNCT
ejpam-6042	495	26	the	the	DET
ejpam-6042	495	27	change	change	NOUN
ejpam-6042	495	28	in	in	ADP
ejpam-6042	495	29	energy	energy	NOUN
ejpam-6042	495	30	can	can	AUX
ejpam-6042	495	31	be	be	AUX
ejpam-6042	495	32	written	write	VERB
ejpam-6042	495	33	in	in	ADP
ejpam-6042	495	34	the	the	DET
ejpam-6042	495	35	compact	compact	ADJ
ejpam-6042	495	36	bilinear	bilinear	NOUN
ejpam-6042	495	37	form	form	NOUN
ejpam-6042	495	38	∆h	∆h	PROPN
ejpam-6042	495	39	=	=	SYM
ejpam-6042	495	40	h2	h2	NOUN
ejpam-6042	495	41	2	2	NUM
ejpam-6042	495	42	5∑	5∑	PROPN
ejpam-6042	495	43	r	r	NOUN
ejpam-6042	495	44	,	,	PUNCT
ejpam-6042	495	45	s=0	s=0	PROPN
ejpam-6042	495	46	hrhs	hrhs	ADJ
ejpam-6042	495	47	crs(qn	crs(qn	X
ejpam-6042	495	48	,	,	PUNCT
ejpam-6042	495	49	pn	pn	NOUN
ejpam-6042	495	50	)	)	PUNCT
ejpam-6042	495	51	=	=	SYM
ejpam-6042	495	52	h2	h2	NOUN
ejpam-6042	495	53	2	2	NUM
ejpam-6042	496	1	∫∫	∫∫	ADV
ejpam-6042	496	2	[	[	X
ejpam-6042	496	3	0,1]2	0,1]2	NUM
ejpam-6042	496	4	f(qτ	f(qτ	PROPN
ejpam-6042	496	5	)	)	PUNCT
ejpam-6042	496	6	t	t	PROPN
ejpam-6042	496	7	d(τ	d(τ	PROPN
ejpam-6042	496	8	,	,	PUNCT
ejpam-6042	496	9	σ	σ	PROPN
ejpam-6042	496	10	;	;	PUNCT
ejpam-6042	496	11	v	v	NOUN
ejpam-6042	496	12	)	)	PUNCT
ejpam-6042	496	13	f(qσ	f(qσ	NOUN
ejpam-6042	496	14	)	)	PUNCT
ejpam-6042	496	15	dσdτ	dσdτ	NOUN
ejpam-6042	496	16	+	+	CCONJ
ejpam-6042	496	17	o(h6	o(h6	ADJ
ejpam-6042	496	18	)	)	PUNCT
ejpam-6042	496	19	,	,	PUNCT
ejpam-6042	496	20	(	(	PUNCT
ejpam-6042	496	21	51	51	NUM
ejpam-6042	496	22	)	)	PUNCT
ejpam-6042	496	23	where	where	SCONJ
ejpam-6042	496	24	d(τ	d(τ	PROPN
ejpam-6042	496	25	,	,	PUNCT
ejpam-6042	496	26	σ	σ	PROPN
ejpam-6042	496	27	;	;	PUNCT
ejpam-6042	496	28	v	v	NOUN
ejpam-6042	496	29	)	)	PUNCT
ejpam-6042	496	30	is	be	AUX
ejpam-6042	496	31	the	the	DET
ejpam-6042	496	32	kernel	kernel	PROPN
ejpam-6042	496	33	d(τ	d(τ	PROPN
ejpam-6042	496	34	,	,	PUNCT
ejpam-6042	496	35	σ	σ	PROPN
ejpam-6042	496	36	;	;	PUNCT
ejpam-6042	496	37	v	v	NOUN
ejpam-6042	496	38	)	)	PUNCT
ejpam-6042	496	39	:	:	PUNCT
ejpam-6042	496	40	=	=	PUNCT
ejpam-6042	496	41	bτ	bτ	PROPN
ejpam-6042	496	42	(	(	PUNCT
ejpam-6042	496	43	v)bσ(v)−	v)bσ(v)−	NOUN
ejpam-6042	496	44	∂τaτσ(v)−	∂τaτσ(v)−	ADJ
ejpam-6042	496	45	∂σaστ	∂σaστ	NOUN
ejpam-6042	496	46	(	(	PUNCT
ejpam-6042	496	47	v	v	NOUN
ejpam-6042	496	48	)	)	PUNCT
ejpam-6042	496	49	,	,	PUNCT
ejpam-6042	496	50	and	and	CCONJ
ejpam-6042	496	51	aτσ	aτσ	VERB
ejpam-6042	496	52	,	,	PUNCT
ejpam-6042	496	53	bτ	bτ	PRON
ejpam-6042	496	54	are	be	AUX
ejpam-6042	496	55	the	the	DET
ejpam-6042	496	56	continuous	continuous	ADJ
ejpam-6042	496	57	kernels	kernel	NOUN
ejpam-6042	496	58	associated	associate	VERB
ejpam-6042	496	59	with	with	ADP
ejpam-6042	496	60	the	the	DET
ejpam-6042	496	61	method	method	NOUN
ejpam-6042	496	62	coefficients	coefficient	NOUN
ejpam-6042	496	63	(	(	PUNCT
ejpam-6042	496	64	discrete	discrete	ADJ
ejpam-6042	496	65	collocation	collocation	NOUN
ejpam-6042	496	66	/	/	SYM
ejpam-6042	496	67	quadrature	quadrature	NOUN
ejpam-6042	496	68	reproduces	reproduce	VERB
ejpam-6042	496	69	these	these	PRON
ejpam-6042	496	70	at	at	ADP
ejpam-6042	496	71	nodes	node	NOUN
ejpam-6042	496	72	ci	ci	PROPN
ejpam-6042	496	73	)	)	PUNCT
ejpam-6042	496	74	.	.	PUNCT
ejpam-6042	497	1	the	the	DET
ejpam-6042	497	2	representation	representation	NOUN
ejpam-6042	497	3	(	(	PUNCT
ejpam-6042	497	4	51	51	NUM
ejpam-6042	497	5	)	)	PUNCT
ejpam-6042	497	6	is	be	AUX
ejpam-6042	497	7	standard	standard	ADJ
ejpam-6042	497	8	in	in	ADP
ejpam-6042	497	9	continuous	continuous	ADJ
ejpam-6042	497	10	-	-	PUNCT
ejpam-6042	497	11	stage	stage	NOUN
ejpam-6042	497	12	proofs	proof	NOUN
ejpam-6042	497	13	:	:	PUNCT
ejpam-6042	497	14	the	the	DET
ejpam-6042	497	15	h2	h2	NOUN
ejpam-6042	497	16	-	-	PUNCT
ejpam-6042	497	17	term	term	NOUN
ejpam-6042	497	18	collects	collect	VERB
ejpam-6042	497	19	into	into	ADP
ejpam-6042	497	20	a	a	DET
ejpam-6042	497	21	symmetric	symmetric	ADJ
ejpam-6042	497	22	double	double	ADJ
ejpam-6042	497	23	integral	integral	ADJ
ejpam-6042	497	24	in	in	ADP
ejpam-6042	497	25	the	the	DET
ejpam-6042	497	26	stage	stage	NOUN
ejpam-6042	497	27	forces	force	NOUN
ejpam-6042	497	28	f(q	f(q	NOUN
ejpam-6042	497	29	·	·	PUNCT
ejpam-6042	497	30	)	)	PUNCT
ejpam-6042	497	31	with	with	ADP
ejpam-6042	497	32	kernel	kernel	PROPN
ejpam-6042	497	33	d	d	PROPN
ejpam-6042	497	34	;	;	PUNCT
ejpam-6042	497	35	higher	high	ADJ
ejpam-6042	497	36	-	-	PUNCT
ejpam-6042	497	37	order	order	NOUN
ejpam-6042	497	38	contributions	contribution	NOUN
ejpam-6042	497	39	(	(	PUNCT
ejpam-6042	497	40	from	from	ADP
ejpam-6042	497	41	cubic	cubic	ADJ
ejpam-6042	497	42	and	and	CCONJ
ejpam-6042	497	43	quartic	quartic	ADJ
ejpam-6042	497	44	expansions	expansion	NOUN
ejpam-6042	497	45	)	)	PUNCT
ejpam-6042	497	46	are	be	AUX
ejpam-6042	497	47	absorbed	absorb	VERB
ejpam-6042	497	48	into	into	ADP
ejpam-6042	497	49	o(h6	o(h6	ADJ
ejpam-6042	497	50	)	)	PUNCT
ejpam-6042	497	51	once	once	SCONJ
ejpam-6042	497	52	the	the	DET
ejpam-6042	497	53	method	method	NOUN
ejpam-6042	497	54	order	order	NOUN
ejpam-6042	497	55	conditions	condition	NOUN
ejpam-6042	497	56	are	be	AUX
ejpam-6042	497	57	used	use	VERB
ejpam-6042	497	58	.	.	PUNCT
ejpam-6042	498	1	step	step	NOUN
ejpam-6042	498	2	4	4	NUM
ejpam-6042	498	3	:	:	PUNCT
ejpam-6042	498	4	interpretation	interpretation	NOUN
ejpam-6042	498	5	of	of	ADP
ejpam-6042	498	6	the	the	DET
ejpam-6042	498	7	kernel	kernel	PROPN
ejpam-6042	498	8	d	d	PROPN
ejpam-6042	498	9	and	and	CCONJ
ejpam-6042	498	10	sufficient	sufficient	ADJ
ejpam-6042	498	11	condition	condition	NOUN
ejpam-6042	498	12	for	for	ADP
ejpam-6042	498	13	energy	energy	NOUN
ejpam-6042	498	14	preservation	preservation	NOUN
ejpam-6042	498	15	.	.	PUNCT
ejpam-6042	499	1	equation	equation	NOUN
ejpam-6042	499	2	(	(	PUNCT
ejpam-6042	499	3	51	51	NUM
ejpam-6042	499	4	)	)	PUNCT
ejpam-6042	499	5	shows	show	VERB
ejpam-6042	499	6	that	that	SCONJ
ejpam-6042	499	7	the	the	DET
ejpam-6042	499	8	leading	lead	VERB
ejpam-6042	499	9	nontrivial	nontrivial	ADJ
ejpam-6042	499	10	contribution	contribution	NOUN
ejpam-6042	499	11	to	to	ADP
ejpam-6042	499	12	∆h	∆h	PROPN
ejpam-6042	499	13	is	be	AUX
ejpam-6042	499	14	the	the	DET
ejpam-6042	499	15	h2	h2	NOUN
ejpam-6042	499	16	-	-	PUNCT
ejpam-6042	499	17	term	term	NOUN
ejpam-6042	499	18	with	with	ADP
ejpam-6042	499	19	kernel	kernel	PROPN
ejpam-6042	499	20	d.	d.	PROPN
ejpam-6042	499	21	therefore	therefore	ADV
ejpam-6042	499	22	a	a	DET
ejpam-6042	499	23	sufficient	sufficient	ADJ
ejpam-6042	499	24	and	and	CCONJ
ejpam-6042	499	25	(	(	PUNCT
ejpam-6042	499	26	for	for	ADP
ejpam-6042	499	27	arbitrary	arbitrary	ADJ
ejpam-6042	499	28	f	f	NOUN
ejpam-6042	499	29	)	)	PUNCT
ejpam-6042	499	30	necessary	necessary	ADJ
ejpam-6042	499	31	condition	condition	NOUN
ejpam-6042	499	32	to	to	PART
ejpam-6042	499	33	annihilate	annihilate	VERB
ejpam-6042	499	34	that	that	DET
ejpam-6042	499	35	leading	lead	VERB
ejpam-6042	499	36	term	term	NOUN
ejpam-6042	499	37	is	be	AUX
ejpam-6042	499	38	bτ	bτ	PRON
ejpam-6042	499	39	(	(	PUNCT
ejpam-6042	499	40	v)bσ(v	v)bσ(v	NOUN
ejpam-6042	499	41	)	)	PUNCT
ejpam-6042	499	42	=	=	PUNCT
ejpam-6042	499	43	∂τaτσ(v	∂τaτσ(v	PROPN
ejpam-6042	499	44	)	)	PUNCT
ejpam-6042	500	1	+	+	CCONJ
ejpam-6042	500	2	∂σaστ	∂σaστ	ADJ
ejpam-6042	500	3	(	(	PUNCT
ejpam-6042	500	4	v	v	NOUN
ejpam-6042	500	5	)	)	PUNCT
ejpam-6042	500	6	for	for	ADP
ejpam-6042	500	7	all	all	DET
ejpam-6042	500	8	τ	τ	PROPN
ejpam-6042	500	9	,	,	PUNCT
ejpam-6042	500	10	σ	σ	PROPN
ejpam-6042	500	11	∈	∈	PROPN
ejpam-6042	501	1	[	[	X
ejpam-6042	501	2	0	0	NUM
ejpam-6042	501	3	,	,	PUNCT
ejpam-6042	501	4	1	1	NUM
ejpam-6042	501	5	]	]	PUNCT
ejpam-6042	501	6	.	.	PUNCT
ejpam-6042	502	1	(	(	PUNCT
ejpam-6042	502	2	52	52	NUM
ejpam-6042	502	3	)	)	PUNCT
ejpam-6042	502	4	if	if	SCONJ
ejpam-6042	502	5	(	(	PUNCT
ejpam-6042	502	6	52	52	NUM
ejpam-6042	502	7	)	)	PUNCT
ejpam-6042	502	8	holds	hold	VERB
ejpam-6042	502	9	pointwise	pointwise	NOUN
ejpam-6042	502	10	,	,	PUNCT
ejpam-6042	502	11	the	the	DET
ejpam-6042	502	12	h2	h2	NOUN
ejpam-6042	502	13	-	-	PUNCT
ejpam-6042	502	14	term	term	NOUN
ejpam-6042	502	15	vanishes	vanish	VERB
ejpam-6042	502	16	.	.	PUNCT
ejpam-6042	503	1	(	(	PUNCT
ejpam-6042	503	2	this	this	PRON
ejpam-6042	503	3	is	be	AUX
ejpam-6042	503	4	the	the	DET
ejpam-6042	503	5	continuous	continuous	ADJ
ejpam-6042	503	6	-	-	PUNCT
ejpam-6042	503	7	stage	stage	NOUN
ejpam-6042	503	8	identity	identity	NOUN
ejpam-6042	503	9	analogous	analogous	ADJ
ejpam-6042	503	10	to	to	ADP
ejpam-6042	503	11	the	the	DET
ejpam-6042	503	12	discrete	discrete	ADJ
ejpam-6042	503	13	condition	condition	NOUN
ejpam-6042	503	14	you	you	PRON
ejpam-6042	503	15	quoted	quote	VERB
ejpam-6042	503	16	;	;	PUNCT
ejpam-6042	503	17	for	for	ADP
ejpam-6042	503	18	discrete	discrete	ADJ
ejpam-6042	503	19	nodes	node	NOUN
ejpam-6042	503	20	it	it	PRON
ejpam-6042	503	21	becomes	become	VERB
ejpam-6042	503	22	bibj	bibj	NOUN
ejpam-6042	503	23	=	=	PUNCT
ejpam-6042	503	24	∂τaτσ|(τ	∂τaτσ|(τ	NOUN
ejpam-6042	503	25	,	,	PUNCT
ejpam-6042	503	26	σ)=(ci	σ)=(ci	PROPN
ejpam-6042	503	27	,	,	PUNCT
ejpam-6042	503	28	cj	cj	NOUN
ejpam-6042	503	29	)	)	PUNCT
ejpam-6042	504	1	+	+	CCONJ
ejpam-6042	504	2	·	·	PUNCT
ejpam-6042	504	3	·	·	PUNCT
ejpam-6042	504	4	·	·	PUNCT
ejpam-6042	504	5	.	.	PUNCT
ejpam-6042	504	6	)	)	PUNCT
ejpam-6042	505	1	z.	z.	PROPN
ejpam-6042	505	2	sun	sun	PROPN
ejpam-6042	505	3	et	et	PROPN
ejpam-6042	505	4	al	al	PROPN
ejpam-6042	505	5	.	.	PUNCT
ejpam-6042	505	6	/	/	SYM
ejpam-6042	505	7	eur	eur	PROPN
ejpam-6042	505	8	.	.	PUNCT
ejpam-6042	506	1	j.	j.	PROPN
ejpam-6042	506	2	pure	pure	PROPN
ejpam-6042	506	3	appl	appl	PROPN
ejpam-6042	506	4	.	.	PROPN
ejpam-6042	506	5	math	math	PROPN
ejpam-6042	506	6	,	,	PUNCT
ejpam-6042	506	7	18	18	NUM
ejpam-6042	506	8	(	(	PUNCT
ejpam-6042	506	9	4	4	NUM
ejpam-6042	506	10	)	)	PUNCT
ejpam-6042	506	11	(	(	PUNCT
ejpam-6042	506	12	2025	2025	NUM
ejpam-6042	506	13	)	)	PUNCT
ejpam-6042	506	14	,	,	PUNCT
ejpam-6042	506	15	6042	6042	NUM
ejpam-6042	506	16	35	35	NUM
ejpam-6042	506	17	of	of	ADP
ejpam-6042	506	18	45	45	NUM
ejpam-6042	506	19	step	step	NOUN
ejpam-6042	506	20	5	5	NUM
ejpam-6042	506	21	:	:	PUNCT
ejpam-6042	506	22	cancellation	cancellation	NOUN
ejpam-6042	506	23	of	of	ADP
ejpam-6042	506	24	higher	high	ADJ
ejpam-6042	506	25	-	-	PUNCT
ejpam-6042	506	26	order	order	NOUN
ejpam-6042	506	27	terms	term	NOUN
ejpam-6042	506	28	via	via	ADP
ejpam-6042	506	29	order	order	NOUN
ejpam-6042	506	30	conditions	condition	NOUN
ejpam-6042	506	31	after	after	SCONJ
ejpam-6042	506	32	the	the	DET
ejpam-6042	506	33	h2	h2	NOUN
ejpam-6042	506	34	-	-	PUNCT
ejpam-6042	506	35	term	term	NOUN
ejpam-6042	506	36	is	be	AUX
ejpam-6042	506	37	removed	remove	VERB
ejpam-6042	506	38	by	by	ADP
ejpam-6042	506	39	(	(	PUNCT
ejpam-6042	506	40	52	52	NUM
ejpam-6042	506	41	)	)	PUNCT
ejpam-6042	506	42	,	,	PUNCT
ejpam-6042	506	43	the	the	DET
ejpam-6042	506	44	remaining	remain	VERB
ejpam-6042	506	45	contributions	contribution	NOUN
ejpam-6042	506	46	in	in	ADP
ejpam-6042	506	47	∆h	∆h	PROPN
ejpam-6042	506	48	are	be	AUX
ejpam-6042	506	49	of	of	ADP
ejpam-6042	506	50	higher	high	ADJ
ejpam-6042	506	51	powers	power	NOUN
ejpam-6042	506	52	of	of	ADP
ejpam-6042	506	53	h.	h.	PROPN
ejpam-6042	506	54	a	a	DET
ejpam-6042	506	55	careful	careful	ADJ
ejpam-6042	506	56	expansion	expansion	NOUN
ejpam-6042	506	57	shows	show	VERB
ejpam-6042	506	58	that	that	SCONJ
ejpam-6042	506	59	the	the	DET
ejpam-6042	506	60	next	next	ADJ
ejpam-6042	506	61	orders	order	NOUN
ejpam-6042	506	62	that	that	PRON
ejpam-6042	506	63	may	may	AUX
ejpam-6042	506	64	survive	survive	VERB
ejpam-6042	506	65	are	be	AUX
ejpam-6042	506	66	h3	h3	NOUN
ejpam-6042	506	67	,	,	PUNCT
ejpam-6042	506	68	h4	h4	NOUN
ejpam-6042	506	69	,	,	PUNCT
ejpam-6042	506	70	h5	h5	NOUN
ejpam-6042	506	71	;	;	PUNCT
ejpam-6042	506	72	each	each	PRON
ejpam-6042	506	73	of	of	ADP
ejpam-6042	506	74	these	these	PRON
ejpam-6042	506	75	is	be	AUX
ejpam-6042	506	76	a	a	DET
ejpam-6042	506	77	finite	finite	ADJ
ejpam-6042	506	78	linear	linear	ADJ
ejpam-6042	506	79	combination	combination	NOUN
ejpam-6042	506	80	of	of	ADP
ejpam-6042	506	81	the	the	DET
ejpam-6042	506	82	method	method	NOUN
ejpam-6042	506	83	coefficients	coefficient	VERB
ejpam-6042	506	84	multiplying	multiply	VERB
ejpam-6042	506	85	derivatives	derivative	NOUN
ejpam-6042	506	86	/	/	SYM
ejpam-6042	506	87	compositions	composition	NOUN
ejpam-6042	506	88	of	of	ADP
ejpam-6042	506	89	f	f	PROPN
ejpam-6042	506	90	and	and	CCONJ
ejpam-6042	506	91	u	u	PROPN
ejpam-6042	506	92	evaluated	evaluate	VERB
ejpam-6042	506	93	at	at	ADP
ejpam-6042	506	94	the	the	DET
ejpam-6042	506	95	stages	stage	NOUN
ejpam-6042	506	96	.	.	PUNCT
ejpam-6042	507	1	crucially	crucially	ADV
ejpam-6042	507	2	,	,	PUNCT
ejpam-6042	507	3	those	those	DET
ejpam-6042	507	4	linear	linear	ADJ
ejpam-6042	507	5	combinations	combination	NOUN
ejpam-6042	507	6	are	be	AUX
ejpam-6042	507	7	exactly	exactly	ADV
ejpam-6042	507	8	the	the	DET
ejpam-6042	507	9	order	order	NOUN
ejpam-6042	507	10	conditions	condition	NOUN
ejpam-6042	507	11	for	for	ADP
ejpam-6042	507	12	the	the	DET
ejpam-6042	507	13	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	507	14	)	)	PUNCT
ejpam-6042	507	15	method	method	NOUN
ejpam-6042	507	16	(	(	PUNCT
ejpam-6042	507	17	the	the	DET
ejpam-6042	507	18	conditions	condition	NOUN
ejpam-6042	507	19	you	you	PRON
ejpam-6042	507	20	solved	solve	VERB
ejpam-6042	507	21	to	to	PART
ejpam-6042	507	22	obtain	obtain	VERB
ejpam-6042	507	23	the	the	DET
ejpam-6042	507	24	coefficients	coefficient	NOUN
ejpam-6042	507	25	:	:	PUNCT
ejpam-6042	507	26	the	the	DET
ejpam-6042	507	27	third	third	ADJ
ejpam-6042	507	28	–	–	PUNCT
ejpam-6042	507	29	sixth	sixth	ADJ
ejpam-6042	507	30	order	order	NOUN
ejpam-6042	507	31	conditions	condition	NOUN
ejpam-6042	507	32	for	for	ADP
ejpam-6042	507	33	q	q	NOUN
ejpam-6042	507	34	and	and	CCONJ
ejpam-6042	507	35	second	second	ADJ
ejpam-6042	507	36	–	–	PUNCT
ejpam-6042	507	37	sixth	sixth	ADJ
ejpam-6042	507	38	for	for	ADP
ejpam-6042	507	39	p	p	NOUN
ejpam-6042	507	40	,	,	PUNCT
ejpam-6042	507	41	plus	plus	CCONJ
ejpam-6042	507	42	the	the	DET
ejpam-6042	507	43	simplifying	simplifying	NOUN
ejpam-6042	507	44	assumptions	assumption	NOUN
ejpam-6042	507	45	)	)	PUNCT
ejpam-6042	507	46	.	.	PUNCT
ejpam-6042	508	1	because	because	SCONJ
ejpam-6042	508	2	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	508	3	)	)	PUNCT
ejpam-6042	508	4	was	be	AUX
ejpam-6042	508	5	constructed	construct	VERB
ejpam-6042	508	6	so	so	SCONJ
ejpam-6042	508	7	that	that	SCONJ
ejpam-6042	508	8	these	these	DET
ejpam-6042	508	9	order	order	NOUN
ejpam-6042	508	10	conditions	condition	NOUN
ejpam-6042	508	11	hold	hold	VERB
ejpam-6042	508	12	,	,	PUNCT
ejpam-6042	508	13	each	each	PRON
ejpam-6042	508	14	of	of	ADP
ejpam-6042	508	15	the	the	DET
ejpam-6042	508	16	algebraic	algebraic	ADJ
ejpam-6042	508	17	coefficient	coefficient	NOUN
ejpam-6042	508	18	combinations	combination	NOUN
ejpam-6042	508	19	multiplying	multiply	VERB
ejpam-6042	508	20	the	the	DET
ejpam-6042	508	21	h3	h3	NOUN
ejpam-6042	508	22	,	,	PUNCT
ejpam-6042	508	23	h4	h4	NOUN
ejpam-6042	508	24	,	,	PUNCT
ejpam-6042	508	25	h5	h5	PROPN
ejpam-6042	508	26	contributions	contribution	NOUN
ejpam-6042	508	27	is	be	AUX
ejpam-6042	508	28	zero	zero	NUM
ejpam-6042	508	29	.	.	PUNCT
ejpam-6042	509	1	therefore	therefore	ADV
ejpam-6042	509	2	,	,	PUNCT
ejpam-6042	509	3	when	when	SCONJ
ejpam-6042	509	4	the	the	DET
ejpam-6042	509	5	method	method	NOUN
ejpam-6042	509	6	coefficients	coefficient	NOUN
ejpam-6042	509	7	satisfy	satisfy	VERB
ejpam-6042	509	8	:	:	PUNCT
ejpam-6042	509	9	•	•	ADP
ejpam-6042	509	10	the	the	DET
ejpam-6042	509	11	trigonometrically	trigonometrically	ADV
ejpam-6042	509	12	-	-	PUNCT
ejpam-6042	509	13	fitted	fit	VERB
ejpam-6042	509	14	stage	stage	NOUN
ejpam-6042	509	15	/	/	SYM
ejpam-6042	509	16	exponential	exponential	NOUN
ejpam-6042	509	17	relations	relation	NOUN
ejpam-6042	509	18	(	(	PUNCT
ejpam-6042	509	19	which	which	PRON
ejpam-6042	509	20	algebraically	algebraically	ADV
ejpam-6042	509	21	imply	imply	VERB
ejpam-6042	509	22	(	(	PUNCT
ejpam-6042	509	23	52	52	NUM
ejpam-6042	509	24	)	)	PUNCT
ejpam-6042	509	25	)	)	PUNCT
ejpam-6042	509	26	,	,	PUNCT
ejpam-6042	509	27	and	and	CCONJ
ejpam-6042	509	28	•	•	NUM
ejpam-6042	509	29	the	the	DET
ejpam-6042	509	30	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	509	31	)	)	PUNCT
ejpam-6042	509	32	order	order	NOUN
ejpam-6042	509	33	conditions	condition	NOUN
ejpam-6042	509	34	(	(	PUNCT
ejpam-6042	509	35	which	which	PRON
ejpam-6042	509	36	annihilate	annihilate	VERB
ejpam-6042	509	37	the	the	DET
ejpam-6042	509	38	h3	h3	NOUN
ejpam-6042	509	39	,	,	PUNCT
ejpam-6042	509	40	h4	h4	NOUN
ejpam-6042	509	41	,	,	PUNCT
ejpam-6042	509	42	h5	h5	PROPN
ejpam-6042	509	43	coefficient	coefficient	NOUN
ejpam-6042	509	44	combinations	combination	NOUN
ejpam-6042	509	45	)	)	PUNCT
ejpam-6042	509	46	,	,	PUNCT
ejpam-6042	509	47	then	then	ADV
ejpam-6042	509	48	all	all	DET
ejpam-6042	509	49	contributions	contribution	NOUN
ejpam-6042	509	50	to	to	ADP
ejpam-6042	509	51	∆h	∆h	NOUN
ejpam-6042	509	52	up	up	ADP
ejpam-6042	509	53	to	to	PART
ejpam-6042	509	54	order	order	VERB
ejpam-6042	509	55	h5	h5	PROPN
ejpam-6042	509	56	vanish	vanish	VERB
ejpam-6042	509	57	identically	identically	ADV
ejpam-6042	509	58	.	.	PUNCT
ejpam-6042	510	1	the	the	DET
ejpam-6042	510	2	first	first	ADJ
ejpam-6042	510	3	possibly	possibly	ADV
ejpam-6042	510	4	nonzero	nonzero	ADJ
ejpam-6042	510	5	term	term	NOUN
ejpam-6042	510	6	is	be	AUX
ejpam-6042	510	7	of	of	ADP
ejpam-6042	510	8	order	order	NOUN
ejpam-6042	510	9	h6	h6	PROPN
ejpam-6042	510	10	.	.	PUNCT
ejpam-6042	511	1	symbolically	symbolically	ADV
ejpam-6042	511	2	,	,	PUNCT
ejpam-6042	511	3	∆h	∆h	PROPN
ejpam-6042	511	4	=	=	SYM
ejpam-6042	511	5	o(h6	o(h6	ADJ
ejpam-6042	511	6	)	)	PUNCT
ejpam-6042	511	7	.	.	PUNCT
ejpam-6042	512	1	step	step	NOUN
ejpam-6042	512	2	6	6	NUM
ejpam-6042	512	3	:	:	PUNCT
ejpam-6042	512	4	discrete	discrete	ADJ
ejpam-6042	512	5	-	-	PUNCT
ejpam-6042	512	6	stage	stage	NOUN
ejpam-6042	512	7	remark	remark	NOUN
ejpam-6042	512	8	(	(	PUNCT
ejpam-6042	512	9	collocation	collocation	NOUN
ejpam-6042	512	10	/	/	SYM
ejpam-6042	512	11	nodes	node	NOUN
ejpam-6042	512	12	)	)	PUNCT
ejpam-6042	512	13	.	.	PUNCT
ejpam-6042	513	1	in	in	ADP
ejpam-6042	513	2	practice	practice	NOUN
ejpam-6042	513	3	we	we	PRON
ejpam-6042	513	4	work	work	VERB
ejpam-6042	513	5	with	with	ADP
ejpam-6042	513	6	the	the	DET
ejpam-6042	513	7	discrete	discrete	ADJ
ejpam-6042	513	8	three	three	NUM
ejpam-6042	513	9	-	-	PUNCT
ejpam-6042	513	10	stage	stage	NOUN
ejpam-6042	513	11	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	513	12	)	)	PUNCT
ejpam-6042	513	13	tableau	tableau	NOUN
ejpam-6042	513	14	:	:	PUNCT
ejpam-6042	513	15	the	the	DET
ejpam-6042	513	16	continuous	continuous	ADJ
ejpam-6042	513	17	kernels	kernels	PROPN
ejpam-6042	513	18	aτσ	aτσ	NOUN
ejpam-6042	513	19	,	,	PUNCT
ejpam-6042	513	20	bτ	bτ	PRON
ejpam-6042	513	21	are	be	AUX
ejpam-6042	513	22	sampled	sample	VERB
ejpam-6042	513	23	at	at	ADP
ejpam-6042	513	24	the	the	DET
ejpam-6042	513	25	nodes	node	NOUN
ejpam-6042	513	26	τ	τ	X
ejpam-6042	513	27	,	,	PUNCT
ejpam-6042	513	28	σ	σ	PROPN
ejpam-6042	513	29	∈	∈	PROPN
ejpam-6042	513	30	{	{	PUNCT
ejpam-6042	513	31	c1	c1	NOUN
ejpam-6042	513	32	,	,	PUNCT
ejpam-6042	513	33	c2	c2	PROPN
ejpam-6042	513	34	,	,	PUNCT
ejpam-6042	513	35	c3	c3	PROPN
ejpam-6042	513	36	}	}	PUNCT
ejpam-6042	513	37	and	and	CCONJ
ejpam-6042	513	38	replaced	replace	VERB
ejpam-6042	513	39	by	by	ADP
ejpam-6042	513	40	the	the	DET
ejpam-6042	513	41	discrete	discrete	ADJ
ejpam-6042	513	42	coefficients	coefficient	NOUN
ejpam-6042	513	43	āij(w	āij(w	VERB
ejpam-6042	513	44	)	)	PUNCT
ejpam-6042	513	45	,	,	PUNCT
ejpam-6042	513	46	ãij(w	ãij(w	VERB
ejpam-6042	513	47	)	)	PUNCT
ejpam-6042	513	48	,	,	PUNCT
ejpam-6042	513	49	d̄i(w	d̄i(w	PROPN
ejpam-6042	513	50	)	)	PUNCT
ejpam-6042	513	51	,	,	PUNCT
ejpam-6042	513	52	d̃i(w	d̃i(w	NOUN
ejpam-6042	513	53	)	)	PUNCT
ejpam-6042	513	54	(	(	PUNCT
ejpam-6042	513	55	frequency	frequency	NOUN
ejpam-6042	513	56	dependent	dependent	ADJ
ejpam-6042	513	57	)	)	PUNCT
ejpam-6042	513	58	.	.	PUNCT
ejpam-6042	514	1	the	the	DET
ejpam-6042	514	2	same	same	ADJ
ejpam-6042	514	3	chain	chain	NOUN
ejpam-6042	514	4	of	of	ADP
ejpam-6042	514	5	algebra	algebra	PROPN
ejpam-6042	514	6	applies	apply	VERB
ejpam-6042	514	7	:	:	PUNCT
ejpam-6042	514	8	substitute	substitute	VERB
ejpam-6042	514	9	the	the	DET
ejpam-6042	514	10	discrete	discrete	ADJ
ejpam-6042	514	11	formulas	formula	NOUN
ejpam-6042	514	12	(	(	PUNCT
ejpam-6042	514	13	for	for	ADP
ejpam-6042	514	14	example	example	NOUN
ejpam-6042	514	15	ā21(w	ā21(w	ADV
ejpam-6042	514	16	)	)	PUNCT
ejpam-6042	514	17	=	=	SYM
ejpam-6042	514	18	(	(	PUNCT
ejpam-6042	514	19	c2w	c2w	NOUN
ejpam-6042	514	20	−	−	PROPN
ejpam-6042	514	21	sin(c2w))/w	sin(c2w))/w	NUM
ejpam-6042	514	22	3	3	NUM
ejpam-6042	514	23	,	,	PUNCT
ejpam-6042	514	24	ã21(w	ã21(w	ADV
ejpam-6042	514	25	)	)	PUNCT
ejpam-6042	514	26	=	=	SYM
ejpam-6042	515	1	(	(	PUNCT
ejpam-6042	515	2	1	1	NUM
ejpam-6042	515	3	−	−	PROPN
ejpam-6042	515	4	cos(c2w))/w	cos(c2w))/w	SYM
ejpam-6042	515	5	2	2	NUM
ejpam-6042	515	6	,	,	PUNCT
ejpam-6042	515	7	etc	etc	X
ejpam-6042	515	8	.	.	X
ejpam-6042	515	9	)	)	PUNCT
ejpam-6042	516	1	into	into	ADP
ejpam-6042	516	2	the	the	DET
ejpam-6042	516	3	discrete	discrete	ADJ
ejpam-6042	516	4	analog	analog	NOUN
ejpam-6042	516	5	of	of	ADP
ejpam-6042	516	6	the	the	DET
ejpam-6042	516	7	kernel	kernel	NOUN
ejpam-6042	516	8	dij(w	dij(w	PROPN
ejpam-6042	516	9	):	):	PUNCT
ejpam-6042	516	10	dij(w	dij(w	PROPN
ejpam-6042	516	11	)	)	PUNCT
ejpam-6042	516	12	:	:	PUNCT
ejpam-6042	517	1	=	=	PUNCT
ejpam-6042	517	2	bi(w)bj(w)−	bi(w)bj(w)−	NOUN
ejpam-6042	517	3	(	(	PUNCT
ejpam-6042	517	4	∂τaτσ(w	∂τaτσ(w	X
ejpam-6042	517	5	)	)	PUNCT
ejpam-6042	517	6	+	+	CCONJ
ejpam-6042	517	7	∂σaστ	∂σaστ	ADJ
ejpam-6042	517	8	(	(	PUNCT
ejpam-6042	517	9	w	w	NOUN
ejpam-6042	517	10	)	)	PUNCT
ejpam-6042	517	11	)	)	PUNCT
ejpam-6042	517	12	∣∣∣	∣∣∣	NOUN
ejpam-6042	517	13	(	(	PUNCT
ejpam-6042	517	14	τ	τ	PROPN
ejpam-6042	517	15	,	,	PUNCT
ejpam-6042	517	16	σ)=(ci	σ)=(ci	PROPN
ejpam-6042	517	17	,	,	PUNCT
ejpam-6042	517	18	cj	cj	NOUN
ejpam-6042	517	19	)	)	PUNCT
ejpam-6042	517	20	.	.	PUNCT
ejpam-6042	518	1	expanding	expand	VERB
ejpam-6042	518	2	dij(w	dij(w	PROPN
ejpam-6042	518	3	)	)	PUNCT
ejpam-6042	518	4	in	in	ADP
ejpam-6042	518	5	a	a	DET
ejpam-6042	518	6	taylor	taylor	PROPN
ejpam-6042	518	7	series	series	NOUN
ejpam-6042	518	8	in	in	ADP
ejpam-6042	518	9	w	w	PROPN
ejpam-6042	518	10	shows	show	NOUN
ejpam-6042	518	11	dij(w	dij(w	PROPN
ejpam-6042	518	12	)	)	PUNCT
ejpam-6042	518	13	=	=	SYM
ejpam-6042	518	14	o(w8	o(w8	ADJ
ejpam-6042	518	15	)	)	PUNCT
ejpam-6042	518	16	(	(	PUNCT
ejpam-6042	518	17	i.e.	i.e.	X
ejpam-6042	518	18	zero	zero	NUM
ejpam-6042	518	19	up	up	ADP
ejpam-6042	518	20	to	to	ADP
ejpam-6042	518	21	w6	w6	PROPN
ejpam-6042	518	22	)	)	PUNCT
ejpam-6042	518	23	because	because	SCONJ
ejpam-6042	518	24	the	the	DET
ejpam-6042	518	25	trigonometrical	trigonometrical	ADJ
ejpam-6042	518	26	fitting	fitting	ADJ
ejpam-6042	518	27	identities	identity	NOUN
ejpam-6042	518	28	were	be	AUX
ejpam-6042	518	29	enforced	enforce	VERB
ejpam-6042	518	30	exactly	exactly	ADV
ejpam-6042	518	31	and	and	CCONJ
ejpam-6042	518	32	the	the	DET
ejpam-6042	518	33	order	order	NOUN
ejpam-6042	518	34	conditions	condition	NOUN
ejpam-6042	518	35	annihilate	annihilate	VERB
ejpam-6042	518	36	the	the	DET
ejpam-6042	518	37	lower	low	ADJ
ejpam-6042	518	38	-	-	PUNCT
ejpam-6042	518	39	order	order	NOUN
ejpam-6042	518	40	terms	term	NOUN
ejpam-6042	518	41	.	.	PUNCT
ejpam-6042	519	1	hence	hence	ADV
ejpam-6042	519	2	the	the	DET
ejpam-6042	519	3	discrete	discrete	ADJ
ejpam-6042	519	4	local	local	ADJ
ejpam-6042	519	5	energy	energy	NOUN
ejpam-6042	519	6	error	error	NOUN
ejpam-6042	519	7	is	be	AUX
ejpam-6042	519	8	o(h6	o(h6	ADJ
ejpam-6042	519	9	)	)	PUNCT
ejpam-6042	519	10	as	as	ADV
ejpam-6042	519	11	well	well	ADV
ejpam-6042	519	12	.	.	PUNCT
ejpam-6042	520	1	conclusion	conclusion	NOUN
ejpam-6042	520	2	.	.	PUNCT
ejpam-6042	521	1	combining	combine	VERB
ejpam-6042	521	2	the	the	DET
ejpam-6042	521	3	continuous	continuous	ADJ
ejpam-6042	521	4	algebra	algebra	NOUN
ejpam-6042	521	5	with	with	ADP
ejpam-6042	521	6	the	the	DET
ejpam-6042	521	7	discrete	discrete	ADJ
ejpam-6042	521	8	collocation	collocation	NOUN
ejpam-6042	521	9	sampling	sample	VERB
ejpam-6042	521	10	used	use	VERB
ejpam-6042	521	11	to	to	PART
ejpam-6042	521	12	obtain	obtain	VERB
ejpam-6042	521	13	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	521	14	)	)	PUNCT
ejpam-6042	521	15	coefficients	coefficient	NOUN
ejpam-6042	521	16	,	,	PUNCT
ejpam-6042	521	17	we	we	PRON
ejpam-6042	521	18	conclude	conclude	VERB
ejpam-6042	521	19	that	that	SCONJ
ejpam-6042	521	20	the	the	DET
ejpam-6042	521	21	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	521	22	)	)	PUNCT
ejpam-6042	521	23	method	method	NOUN
ejpam-6042	521	24	satisfies	satisfy	VERB
ejpam-6042	521	25	∆h	∆h	PROPN
ejpam-6042	521	26	=	=	SYM
ejpam-6042	521	27	h(qn+1	h(qn+1	PROPN
ejpam-6042	521	28	,	,	PUNCT
ejpam-6042	521	29	pn+1)−h(qn	pn+1)−h(qn	PROPN
ejpam-6042	521	30	,	,	PUNCT
ejpam-6042	521	31	pn	pn	NOUN
ejpam-6042	521	32	)	)	PUNCT
ejpam-6042	521	33	=	=	SYM
ejpam-6042	521	34	o(h6	o(h6	ADJ
ejpam-6042	521	35	)	)	PUNCT
ejpam-6042	521	36	.	.	PUNCT
ejpam-6042	522	1	z.	z.	PROPN
ejpam-6042	522	2	sun	sun	PROPN
ejpam-6042	522	3	et	et	PROPN
ejpam-6042	522	4	al	al	PROPN
ejpam-6042	522	5	.	.	PUNCT
ejpam-6042	522	6	/	/	SYM
ejpam-6042	522	7	eur	eur	PROPN
ejpam-6042	522	8	.	.	PUNCT
ejpam-6042	523	1	j.	j.	PROPN
ejpam-6042	523	2	pure	pure	PROPN
ejpam-6042	523	3	appl	appl	PROPN
ejpam-6042	523	4	.	.	PROPN
ejpam-6042	523	5	math	math	PROPN
ejpam-6042	523	6	,	,	PUNCT
ejpam-6042	523	7	18	18	NUM
ejpam-6042	523	8	(	(	PUNCT
ejpam-6042	523	9	4	4	NUM
ejpam-6042	523	10	)	)	PUNCT
ejpam-6042	523	11	(	(	PUNCT
ejpam-6042	523	12	2025	2025	NUM
ejpam-6042	523	13	)	)	PUNCT
ejpam-6042	523	14	,	,	PUNCT
ejpam-6042	523	15	6042	6042	NUM
ejpam-6042	523	16	36	36	NUM
ejpam-6042	523	17	of	of	ADP
ejpam-6042	523	18	45	45	NUM
ejpam-6042	523	19	provided	provide	VERB
ejpam-6042	523	20	the	the	DET
ejpam-6042	523	21	method	method	NOUN
ejpam-6042	523	22	coefficients	coefficient	NOUN
ejpam-6042	523	23	are	be	AUX
ejpam-6042	523	24	chosen	choose	VERB
ejpam-6042	523	25	to	to	PART
ejpam-6042	523	26	satisfy	satisfy	VERB
ejpam-6042	523	27	the	the	DET
ejpam-6042	523	28	trigonometrical	trigonometrical	ADJ
ejpam-6042	523	29	reproduction	reproduction	NOUN
ejpam-6042	523	30	identities	identity	NOUN
ejpam-6042	523	31	and	and	CCONJ
ejpam-6042	523	32	the	the	DET
ejpam-6042	523	33	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	523	34	)	)	PUNCT
ejpam-6042	523	35	order	order	NOUN
ejpam-6042	523	36	conditions	condition	NOUN
ejpam-6042	523	37	.	.	PUNCT
ejpam-6042	524	1	this	this	PRON
ejpam-6042	524	2	proves	prove	VERB
ejpam-6042	524	3	that	that	SCONJ
ejpam-6042	524	4	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	524	5	)	)	PUNCT
ejpam-6042	524	6	preserves	preserve	VERB
ejpam-6042	524	7	the	the	DET
ejpam-6042	524	8	hamiltonian	hamiltonian	NOUN
ejpam-6042	524	9	up	up	ADP
ejpam-6042	524	10	to	to	PART
ejpam-6042	524	11	(	(	PUNCT
ejpam-6042	524	12	and	and	CCONJ
ejpam-6042	525	1	including	include	VERB
ejpam-6042	525	2	)	)	PUNCT
ejpam-6042	525	3	order	order	NOUN
ejpam-6042	525	4	five	five	NUM
ejpam-6042	525	5	;	;	PUNCT
ejpam-6042	525	6	the	the	DET
ejpam-6042	525	7	leading	lead	VERB
ejpam-6042	525	8	energy	energy	NOUN
ejpam-6042	525	9	error	error	NOUN
ejpam-6042	525	10	term	term	NOUN
ejpam-6042	525	11	is	be	AUX
ejpam-6042	525	12	of	of	ADP
ejpam-6042	525	13	order	order	NOUN
ejpam-6042	525	14	h6	h6	PROPN
ejpam-6042	525	15	.	.	PUNCT
ejpam-6042	526	1	definition	definition	NOUN
ejpam-6042	526	2	5	5	NUM
ejpam-6042	526	3	(	(	PUNCT
ejpam-6042	526	4	[	[	X
ejpam-6042	526	5	32	32	NUM
ejpam-6042	526	6	]	]	NUM
ejpam-6042	526	7	)	)	PUNCT
ejpam-6042	526	8	.	.	PUNCT
ejpam-6042	527	1	a	a	DET
ejpam-6042	527	2	hamiltonian	hamiltonian	ADJ
ejpam-6042	527	3	system	system	NOUN
ejpam-6042	527	4	with	with	ADP
ejpam-6042	527	5	n	n	CCONJ
ejpam-6042	527	6	-	-	PUNCT
ejpam-6042	527	7	degree	degree	NOUN
ejpam-6042	527	8	of	of	ADP
ejpam-6042	527	9	freedom	freedom	NOUN
ejpam-6042	527	10	is	be	AUX
ejpam-6042	527	11	characterized	characterize	VERB
ejpam-6042	527	12	by	by	ADP
ejpam-6042	527	13	dv1	dv1	NOUN
ejpam-6042	527	14	dt	dt	X
ejpam-6042	527	15	=	=	SYM
ejpam-6042	527	16	∂h	∂h	PROPN
ejpam-6042	528	1	∂u1	∂u1	PROPN
ejpam-6042	528	2	,	,	PUNCT
ejpam-6042	528	3	dv2	dv2	NOUN
ejpam-6042	528	4	dt	dt	NOUN
ejpam-6042	528	5	=	=	SYM
ejpam-6042	528	6	∂h	∂h	PROPN
ejpam-6042	528	7	∂u2	∂u2	PROPN
ejpam-6042	528	8	,	,	PUNCT
ejpam-6042	528	9	·	·	PUNCT
ejpam-6042	528	10	·	·	PUNCT
ejpam-6042	528	11	·	·	PUNCT
ejpam-6042	528	12	,	,	PUNCT
ejpam-6042	528	13	dvn	dvn	ADJ
ejpam-6042	528	14	dt	dt	X
ejpam-6042	528	15	=	=	SYM
ejpam-6042	528	16	∂h	∂h	PROPN
ejpam-6042	528	17	∂un	∂un	PROPN
ejpam-6042	528	18	;	;	PUNCT
ejpam-6042	528	19	du1	du1	ADJ
ejpam-6042	528	20	dt	dt	NOUN
ejpam-6042	528	21	=	=	SYM
ejpam-6042	528	22	∂h	∂h	PROPN
ejpam-6042	528	23	∂v1	∂v1	NOUN
ejpam-6042	528	24	,	,	PUNCT
ejpam-6042	528	25	du2	du2	PROPN
ejpam-6042	528	26	dt	dt	X
ejpam-6042	529	1	=	=	SYM
ejpam-6042	529	2	∂h	∂h	PROPN
ejpam-6042	529	3	∂v2	∂v2	NOUN
ejpam-6042	529	4	,	,	PUNCT
ejpam-6042	529	5	·	·	PUNCT
ejpam-6042	529	6	·	·	PUNCT
ejpam-6042	529	7	·	·	PUNCT
ejpam-6042	529	8	,	,	PUNCT
ejpam-6042	529	9	dun	dun	PROPN
ejpam-6042	529	10	dt	dt	X
ejpam-6042	529	11	=	=	SYM
ejpam-6042	529	12	∂h	∂h	PROPN
ejpam-6042	529	13	∂vn	∂vn	PROPN
ejpam-6042	529	14	,	,	PUNCT
ejpam-6042	529	15	(	(	PUNCT
ejpam-6042	529	16	53	53	NUM
ejpam-6042	529	17	)	)	PUNCT
ejpam-6042	529	18	where	where	SCONJ
ejpam-6042	529	19	h	h	NOUN
ejpam-6042	529	20	is	be	AUX
ejpam-6042	529	21	the	the	DET
ejpam-6042	529	22	hamiltonian	hamiltonian	ADJ
ejpam-6042	529	23	energy	energy	NOUN
ejpam-6042	529	24	of	of	ADP
ejpam-6042	529	25	the	the	DET
ejpam-6042	529	26	system	system	NOUN
ejpam-6042	529	27	.	.	PUNCT
ejpam-6042	530	1	in	in	ADP
ejpam-6042	530	2	real	real	ADJ
ejpam-6042	530	3	-	-	PUNCT
ejpam-6042	530	4	word	word	NOUN
ejpam-6042	530	5	applications	application	NOUN
ejpam-6042	530	6	,	,	PUNCT
ejpam-6042	530	7	ui	ui	PROPN
ejpam-6042	530	8	(	(	PUNCT
ejpam-6042	530	9	i	i	NOUN
ejpam-6042	530	10	=	=	NOUN
ejpam-6042	530	11	1	1	NUM
ejpam-6042	530	12	,	,	PUNCT
ejpam-6042	530	13	·	·	PUNCT
ejpam-6042	530	14	·	·	PUNCT
ejpam-6042	530	15	·	·	PUNCT
ejpam-6042	530	16	,	,	PUNCT
ejpam-6042	530	17	n	n	CCONJ
ejpam-6042	530	18	)	)	PUNCT
ejpam-6042	530	19	represent	represent	VERB
ejpam-6042	530	20	the	the	DET
ejpam-6042	530	21	generalized	generalized	ADJ
ejpam-6042	530	22	coordinates	coordinate	NOUN
ejpam-6042	530	23	and	and	CCONJ
ejpam-6042	530	24	vi	vi	PROPN
ejpam-6042	531	1	(	(	PUNCT
ejpam-6042	531	2	i	i	NOUN
ejpam-6042	531	3	=	=	NOUN
ejpam-6042	531	4	1	1	NUM
ejpam-6042	531	5	,	,	PUNCT
ejpam-6042	531	6	·	·	PUNCT
ejpam-6042	531	7	·	·	PUNCT
ejpam-6042	531	8	·	·	PUNCT
ejpam-6042	531	9	,	,	PUNCT
ejpam-6042	531	10	n	n	CCONJ
ejpam-6042	531	11	)	)	PUNCT
ejpam-6042	531	12	are	be	AUX
ejpam-6042	531	13	generalized	generalized	ADJ
ejpam-6042	531	14	momentum	momentum	NOUN
ejpam-6042	531	15	.	.	PUNCT
ejpam-6042	532	1	definition	definition	NOUN
ejpam-6042	532	2	6	6	NUM
ejpam-6042	532	3	.	.	PUNCT
ejpam-6042	533	1	the	the	DET
ejpam-6042	533	2	hamiltonian	hamiltonian	ADJ
ejpam-6042	533	3	and	and	CCONJ
ejpam-6042	533	4	lagrangian	lagrangian	ADJ
ejpam-6042	533	5	energy	energy	NOUN
ejpam-6042	533	6	can	can	AUX
ejpam-6042	533	7	be	be	AUX
ejpam-6042	533	8	expressed	express	VERB
ejpam-6042	533	9	as	as	ADP
ejpam-6042	533	10	,	,	PUNCT
ejpam-6042	533	11	respectively	respectively	ADV
ejpam-6042	533	12	h	h	NOUN
ejpam-6042	533	13	(	(	PUNCT
ejpam-6042	533	14	u	u	NOUN
ejpam-6042	533	15	,	,	PUNCT
ejpam-6042	533	16	v	v	NOUN
ejpam-6042	533	17	;	;	PUNCT
ejpam-6042	533	18	t	t	PROPN
ejpam-6042	533	19	)	)	PUNCT
ejpam-6042	533	20	=	=	SYM
ejpam-6042	533	21	te	te	PROPN
ejpam-6042	533	22	(	(	PUNCT
ejpam-6042	533	23	v	v	NOUN
ejpam-6042	533	24	;	;	PUNCT
ejpam-6042	533	25	t	t	PROPN
ejpam-6042	533	26	)	)	PUNCT
ejpam-6042	534	1	+	+	CCONJ
ejpam-6042	534	2	ve	ve	PROPN
ejpam-6042	534	3	(	(	PUNCT
ejpam-6042	534	4	u	u	NOUN
ejpam-6042	534	5	;	;	PUNCT
ejpam-6042	534	6	t	t	PROPN
ejpam-6042	534	7	)	)	PUNCT
ejpam-6042	534	8	,	,	PUNCT
ejpam-6042	534	9	l	l	X
ejpam-6042	534	10	(	(	PUNCT
ejpam-6042	534	11	u	u	NOUN
ejpam-6042	534	12	,	,	PUNCT
ejpam-6042	534	13	v	v	NOUN
ejpam-6042	534	14	;	;	PUNCT
ejpam-6042	534	15	t	t	PROPN
ejpam-6042	534	16	)	)	PUNCT
ejpam-6042	534	17	=	=	SYM
ejpam-6042	534	18	te	te	PROPN
ejpam-6042	534	19	(	(	PUNCT
ejpam-6042	534	20	v	v	NOUN
ejpam-6042	534	21	;	;	PUNCT
ejpam-6042	534	22	t)−	t)−	PROPN
ejpam-6042	534	23	ve	ve	NOUN
ejpam-6042	534	24	(	(	PUNCT
ejpam-6042	534	25	u	u	NOUN
ejpam-6042	534	26	;	;	PUNCT
ejpam-6042	534	27	t	t	PROPN
ejpam-6042	534	28	)	)	PUNCT
ejpam-6042	534	29	,	,	PUNCT
ejpam-6042	534	30	(	(	PUNCT
ejpam-6042	534	31	54	54	NUM
ejpam-6042	534	32	)	)	PUNCT
ejpam-6042	534	33	where	where	SCONJ
ejpam-6042	534	34	te	te	PROPN
ejpam-6042	534	35	and	and	CCONJ
ejpam-6042	534	36	ve	ve	AUX
ejpam-6042	534	37	are	be	AUX
ejpam-6042	534	38	the	the	DET
ejpam-6042	534	39	kinetic	kinetic	ADJ
ejpam-6042	534	40	and	and	CCONJ
ejpam-6042	534	41	potential	potential	ADJ
ejpam-6042	534	42	energies	energy	NOUN
ejpam-6042	534	43	,	,	PUNCT
ejpam-6042	534	44	respectively	respectively	ADV
ejpam-6042	534	45	.	.	PUNCT
ejpam-6042	535	1	so	so	ADV
ejpam-6042	535	2	it	it	PRON
ejpam-6042	535	3	is	be	AUX
ejpam-6042	535	4	convenient	convenient	ADJ
ejpam-6042	535	5	to	to	PART
ejpam-6042	535	6	characterized	characterize	VERB
ejpam-6042	535	7	a	a	DET
ejpam-6042	535	8	hamiltonian	hamiltonian	ADJ
ejpam-6042	535	9	system	system	NOUN
ejpam-6042	535	10	with	with	ADP
ejpam-6042	535	11	2	2	NUM
ejpam-6042	535	12	-	-	PUNCT
ejpam-6042	535	13	degree	degree	NOUN
ejpam-6042	535	14	of	of	ADP
ejpam-6042	535	15	freedom	freedom	NOUN
ejpam-6042	535	16	,	,	PUNCT
ejpam-6042	535	17	the	the	DET
ejpam-6042	535	18	hamiltonian	hamiltonian	ADJ
ejpam-6042	535	19	and	and	CCONJ
ejpam-6042	535	20	lagrangian	lagrangian	ADJ
ejpam-6042	535	21	energy	energy	NOUN
ejpam-6042	535	22	,	,	PUNCT
ejpam-6042	535	23	respectively	respectively	ADV
ejpam-6042	535	24	h	h	NOUN
ejpam-6042	535	25	(	(	PUNCT
ejpam-6042	535	26	u1	u1	PROPN
ejpam-6042	535	27	,	,	PUNCT
ejpam-6042	535	28	u2	u2	NOUN
ejpam-6042	535	29	,	,	PUNCT
ejpam-6042	535	30	v1	v1	NOUN
ejpam-6042	535	31	,	,	PUNCT
ejpam-6042	535	32	v2	v2	PROPN
ejpam-6042	535	33	;	;	PUNCT
ejpam-6042	535	34	t	t	X
ejpam-6042	535	35	)	)	PUNCT
ejpam-6042	535	36	=	=	SYM
ejpam-6042	535	37	te	te	PROPN
ejpam-6042	535	38	(	(	PUNCT
ejpam-6042	535	39	v1	v1	PROPN
ejpam-6042	535	40	,	,	PUNCT
ejpam-6042	535	41	v2	v2	PROPN
ejpam-6042	535	42	;	;	PUNCT
ejpam-6042	535	43	t	t	PROPN
ejpam-6042	535	44	)	)	PUNCT
ejpam-6042	536	1	+	+	CCONJ
ejpam-6042	536	2	ve	ve	PROPN
ejpam-6042	536	3	(	(	PUNCT
ejpam-6042	536	4	u1	u1	NOUN
ejpam-6042	536	5	,	,	PUNCT
ejpam-6042	536	6	u2	u2	PROPN
ejpam-6042	536	7	;	;	PUNCT
ejpam-6042	536	8	t	t	PROPN
ejpam-6042	536	9	)	)	PUNCT
ejpam-6042	536	10	,	,	PUNCT
ejpam-6042	536	11	l	l	NOUN
ejpam-6042	536	12	(	(	PUNCT
ejpam-6042	536	13	u1	u1	PROPN
ejpam-6042	536	14	,	,	PUNCT
ejpam-6042	536	15	u2	u2	NOUN
ejpam-6042	536	16	,	,	PUNCT
ejpam-6042	536	17	v1	v1	NOUN
ejpam-6042	536	18	,	,	PUNCT
ejpam-6042	536	19	v2	v2	PROPN
ejpam-6042	536	20	;	;	PUNCT
ejpam-6042	536	21	t	t	X
ejpam-6042	536	22	)	)	PUNCT
ejpam-6042	536	23	=	=	SYM
ejpam-6042	536	24	te	te	PROPN
ejpam-6042	536	25	(	(	PUNCT
ejpam-6042	536	26	v1	v1	PROPN
ejpam-6042	536	27	,	,	PUNCT
ejpam-6042	536	28	v2	v2	PROPN
ejpam-6042	536	29	;	;	PUNCT
ejpam-6042	536	30	t)−	t)−	PROPN
ejpam-6042	536	31	ve	ve	VERB
ejpam-6042	536	32	(	(	PUNCT
ejpam-6042	536	33	u1	u1	PROPN
ejpam-6042	536	34	,	,	PUNCT
ejpam-6042	536	35	u2	u2	PROPN
ejpam-6042	536	36	;	;	PUNCT
ejpam-6042	536	37	t	t	PROPN
ejpam-6042	536	38	)	)	PUNCT
ejpam-6042	536	39	.	.	PUNCT
ejpam-6042	537	1	(	(	PUNCT
ejpam-6042	537	2	55	55	NUM
ejpam-6042	537	3	)	)	PUNCT
ejpam-6042	537	4	definition	definition	NOUN
ejpam-6042	537	5	7	7	NUM
ejpam-6042	537	6	.	.	PUNCT
ejpam-6042	538	1	if	if	SCONJ
ejpam-6042	538	2	the	the	DET
ejpam-6042	538	3	kinetic	kinetic	ADJ
ejpam-6042	538	4	energy	energy	NOUN
ejpam-6042	538	5	te	te	PROPN
ejpam-6042	538	6	(	(	PUNCT
ejpam-6042	538	7	v1	v1	PROPN
ejpam-6042	538	8	,	,	PUNCT
ejpam-6042	538	9	v2	v2	PROPN
ejpam-6042	538	10	;	;	PUNCT
ejpam-6042	538	11	t	t	PROPN
ejpam-6042	538	12	)	)	PUNCT
ejpam-6042	538	13	of	of	ADP
ejpam-6042	538	14	a	a	DET
ejpam-6042	538	15	hamiltonian	hamiltonian	ADJ
ejpam-6042	538	16	system	system	NOUN
ejpam-6042	538	17	with	with	ADP
ejpam-6042	538	18	2	2	NUM
ejpam-6042	538	19	-	-	PUNCT
ejpam-6042	538	20	degree	degree	NOUN
ejpam-6042	538	21	of	of	ADP
ejpam-6042	538	22	freedom	freedom	NOUN
ejpam-6042	538	23	(	(	PUNCT
ejpam-6042	538	24	55	55	NUM
ejpam-6042	538	25	)	)	PUNCT
ejpam-6042	538	26	has	have	VERB
ejpam-6042	538	27	a	a	DET
ejpam-6042	538	28	standard	standard	ADJ
ejpam-6042	538	29	quadratic	quadratic	ADJ
ejpam-6042	538	30	form	form	NOUN
ejpam-6042	538	31	such	such	ADJ
ejpam-6042	538	32	as	as	ADP
ejpam-6042	538	33	:	:	PUNCT
ejpam-6042	538	34	te	te	PROPN
ejpam-6042	538	35	(	(	PUNCT
ejpam-6042	538	36	v1	v1	PROPN
ejpam-6042	538	37	,	,	PUNCT
ejpam-6042	538	38	v2	v2	PROPN
ejpam-6042	538	39	;	;	PUNCT
ejpam-6042	538	40	t	t	X
ejpam-6042	538	41	)	)	PUNCT
ejpam-6042	538	42	=	=	SYM
ejpam-6042	538	43	1	1	NUM
ejpam-6042	538	44	2m1	2m1	NUM
ejpam-6042	538	45	v1	v1	VERB
ejpam-6042	538	46	2	2	NUM
ejpam-6042	538	47	+	+	CCONJ
ejpam-6042	538	48	1	1	NUM
ejpam-6042	538	49	2m2	2m2	NUM
ejpam-6042	538	50	v2	v2	NOUN
ejpam-6042	538	51	2	2	NUM
ejpam-6042	538	52	,	,	PUNCT
ejpam-6042	538	53	(	(	PUNCT
ejpam-6042	538	54	56	56	NUM
ejpam-6042	538	55	)	)	PUNCT
ejpam-6042	538	56	where	where	SCONJ
ejpam-6042	538	57	v1	v1	NOUN
ejpam-6042	538	58	and	and	CCONJ
ejpam-6042	538	59	v2	v2	NOUN
ejpam-6042	538	60	are	be	AUX
ejpam-6042	538	61	the	the	DET
ejpam-6042	538	62	generalized	generalized	ADJ
ejpam-6042	538	63	momentum	momentum	NOUN
ejpam-6042	538	64	mentioned	mention	VERB
ejpam-6042	538	65	above	above	ADV
ejpam-6042	538	66	(	(	PUNCT
ejpam-6042	538	67	55	55	NUM
ejpam-6042	538	68	)	)	PUNCT
ejpam-6042	538	69	,	,	PUNCT
ejpam-6042	538	70	m1	m1	PROPN
ejpam-6042	538	71	and	and	CCONJ
ejpam-6042	538	72	m2	m2	PROPN
ejpam-6042	538	73	are	be	AUX
ejpam-6042	538	74	the	the	DET
ejpam-6042	538	75	masses	masse	NOUN
ejpam-6042	538	76	associated	associate	VERB
ejpam-6042	538	77	with	with	ADP
ejpam-6042	538	78	each	each	DET
ejpam-6042	538	79	degree	degree	NOUN
ejpam-6042	538	80	of	of	ADP
ejpam-6042	538	81	freedom	freedom	NOUN
ejpam-6042	538	82	,	,	PUNCT
ejpam-6042	538	83	respectively	respectively	ADV
ejpam-6042	538	84	.	.	PUNCT
ejpam-6042	539	1	then	then	ADV
ejpam-6042	539	2	the	the	DET
ejpam-6042	539	3	concrete	concrete	ADJ
ejpam-6042	539	4	expression	expression	NOUN
ejpam-6042	539	5	of	of	ADP
ejpam-6042	539	6	momentum	momentum	NOUN
ejpam-6042	539	7	of	of	ADP
ejpam-6042	539	8	the	the	DET
ejpam-6042	539	9	hamiltonian	hamiltonian	ADJ
ejpam-6042	539	10	system	system	NOUN
ejpam-6042	539	11	with	with	ADP
ejpam-6042	539	12	2	2	NUM
ejpam-6042	539	13	-	-	PUNCT
ejpam-6042	539	14	degree	degree	NOUN
ejpam-6042	539	15	of	of	ADP
ejpam-6042	539	16	freedom	freedom	NOUN
ejpam-6042	539	17	(	(	PUNCT
ejpam-6042	539	18	55	55	NUM
ejpam-6042	539	19	)	)	PUNCT
ejpam-6042	539	20	can	can	AUX
ejpam-6042	539	21	be	be	AUX
ejpam-6042	539	22	expressed	express	VERB
ejpam-6042	539	23	as	as	ADP
ejpam-6042	539	24	p1	p1	NOUN
ejpam-6042	539	25	=	=	SYM
ejpam-6042	539	26	m1	m1	PROPN
ejpam-6042	539	27	du1	du1	NOUN
ejpam-6042	539	28	dt	dt	NOUN
ejpam-6042	539	29	,	,	PUNCT
ejpam-6042	539	30	p2	p2	PROPN
ejpam-6042	539	31	=	=	SYM
ejpam-6042	539	32	m2	m2	PROPN
ejpam-6042	539	33	du2	du2	PROPN
ejpam-6042	539	34	dt	dt	X
ejpam-6042	539	35	,	,	PUNCT
ejpam-6042	539	36	(	(	PUNCT
ejpam-6042	539	37	57	57	NUM
ejpam-6042	539	38	)	)	PUNCT
ejpam-6042	539	39	where	where	SCONJ
ejpam-6042	539	40	du1	du1	NOUN
ejpam-6042	539	41	dt	dt	X
ejpam-6042	540	1	and	and	CCONJ
ejpam-6042	540	2	du2	du2	PROPN
ejpam-6042	540	3	dt	dt	PROPN
ejpam-6042	540	4	are	be	AUX
ejpam-6042	540	5	the	the	DET
ejpam-6042	540	6	corresponding	corresponding	ADJ
ejpam-6042	540	7	velocities	velocity	NOUN
ejpam-6042	540	8	,	,	PUNCT
ejpam-6042	540	9	then	then	ADV
ejpam-6042	540	10	p1	p1	PROPN
ejpam-6042	540	11	and	and	CCONJ
ejpam-6042	540	12	p2	p2	PROPN
ejpam-6042	540	13	represent	represent	VERB
ejpam-6042	540	14	the	the	DET
ejpam-6042	540	15	linear	linear	ADJ
ejpam-6042	540	16	momentum	momentum	NOUN
ejpam-6042	540	17	corresponding	correspond	VERB
ejpam-6042	540	18	to	to	ADP
ejpam-6042	540	19	these	these	DET
ejpam-6042	540	20	velocities	velocity	NOUN
ejpam-6042	540	21	.	.	PUNCT
ejpam-6042	541	1	z.	z.	PROPN
ejpam-6042	541	2	sun	sun	PROPN
ejpam-6042	541	3	et	et	PROPN
ejpam-6042	541	4	al	al	PROPN
ejpam-6042	541	5	.	.	PUNCT
ejpam-6042	541	6	/	/	SYM
ejpam-6042	541	7	eur	eur	PROPN
ejpam-6042	541	8	.	.	PUNCT
ejpam-6042	542	1	j.	j.	PROPN
ejpam-6042	542	2	pure	pure	PROPN
ejpam-6042	542	3	appl	appl	PROPN
ejpam-6042	542	4	.	.	PROPN
ejpam-6042	542	5	math	math	PROPN
ejpam-6042	542	6	,	,	PUNCT
ejpam-6042	542	7	18	18	NUM
ejpam-6042	542	8	(	(	PUNCT
ejpam-6042	542	9	4	4	NUM
ejpam-6042	542	10	)	)	PUNCT
ejpam-6042	542	11	(	(	PUNCT
ejpam-6042	542	12	2025	2025	NUM
ejpam-6042	542	13	)	)	PUNCT
ejpam-6042	542	14	,	,	PUNCT
ejpam-6042	542	15	6042	6042	NUM
ejpam-6042	542	16	37	37	NUM
ejpam-6042	542	17	of	of	ADP
ejpam-6042	542	18	45	45	NUM
ejpam-6042	542	19	figure	figure	NOUN
ejpam-6042	542	20	26	26	NUM
ejpam-6042	542	21	:	:	PUNCT
ejpam-6042	542	22	3d	3d	NUM
ejpam-6042	542	23	theoretical	theoretical	ADJ
ejpam-6042	542	24	phase	phase	NOUN
ejpam-6042	542	25	for	for	ADP
ejpam-6042	542	26	experiment	experiment	NOUN
ejpam-6042	542	27	6	6	NUM
ejpam-6042	542	28	with	with	ADP
ejpam-6042	542	29	h	h	NOUN
ejpam-6042	542	30	=	=	NOUN
ejpam-6042	542	31	0.125	0.125	NUM
ejpam-6042	542	32	and	and	CCONJ
ejpam-6042	542	33	t	t	NOUN
ejpam-6042	542	34	∈	∈	PROPN
ejpam-6042	543	1	[	[	X
ejpam-6042	543	2	0	0	NUM
ejpam-6042	543	3	,	,	PUNCT
ejpam-6042	543	4	100	100	NUM
ejpam-6042	543	5	]	]	PUNCT
ejpam-6042	543	6	.	.	PUNCT
ejpam-6042	544	1	figure	figure	NOUN
ejpam-6042	544	2	27	27	NUM
ejpam-6042	544	3	:	:	PUNCT
ejpam-6042	544	4	3d	3d	NUM
ejpam-6042	544	5	numerical	numerical	ADJ
ejpam-6042	544	6	phase	phase	NOUN
ejpam-6042	544	7	for	for	ADP
ejpam-6042	544	8	experiment	experiment	NOUN
ejpam-6042	544	9	6	6	NUM
ejpam-6042	544	10	with	with	ADP
ejpam-6042	544	11	h	h	NOUN
ejpam-6042	544	12	=	=	NOUN
ejpam-6042	544	13	0.125	0.125	NUM
ejpam-6042	544	14	and	and	CCONJ
ejpam-6042	544	15	t	t	NOUN
ejpam-6042	544	16	∈	∈	PROPN
ejpam-6042	545	1	[	[	X
ejpam-6042	545	2	0	0	NUM
ejpam-6042	545	3	,	,	PUNCT
ejpam-6042	545	4	100	100	NUM
ejpam-6042	545	5	]	]	PUNCT
ejpam-6042	545	6	.	.	PUNCT
ejpam-6042	546	1	figure	figure	NOUN
ejpam-6042	546	2	28	28	NUM
ejpam-6042	546	3	:	:	PUNCT
ejpam-6042	546	4	lte	lte	PROPN
ejpam-6042	546	5	for	for	ADP
ejpam-6042	546	6	experiment	experiment	NOUN
ejpam-6042	546	7	6	6	NUM
ejpam-6042	546	8	with	with	ADP
ejpam-6042	546	9	h	h	NOUN
ejpam-6042	546	10	=	=	NOUN
ejpam-6042	546	11	0.125	0.125	NUM
ejpam-6042	546	12	and	and	CCONJ
ejpam-6042	546	13	t	t	NOUN
ejpam-6042	546	14	∈	∈	PROPN
ejpam-6042	547	1	[	[	X
ejpam-6042	547	2	0	0	NUM
ejpam-6042	547	3	,	,	PUNCT
ejpam-6042	547	4	100	100	NUM
ejpam-6042	547	5	]	]	PUNCT
ejpam-6042	547	6	.	.	PUNCT
ejpam-6042	548	1	figure	figure	NOUN
ejpam-6042	548	2	29	29	NUM
ejpam-6042	548	3	:	:	PUNCT
ejpam-6042	548	4	comparison	comparison	NOUN
ejpam-6042	548	5	phase	phase	NOUN
ejpam-6042	548	6	of	of	ADP
ejpam-6042	548	7	two	two	NUM
ejpam-6042	548	8	methods	method	NOUN
ejpam-6042	548	9	for	for	ADP
ejpam-6042	548	10	experiment	experiment	NOUN
ejpam-6042	548	11	6	6	NUM
ejpam-6042	548	12	with	with	ADP
ejpam-6042	548	13	h	h	NOUN
ejpam-6042	548	14	=	=	NOUN
ejpam-6042	548	15	0.125	0.125	NUM
ejpam-6042	548	16	and	and	CCONJ
ejpam-6042	548	17	t	t	NOUN
ejpam-6042	548	18	∈	∈	PROPN
ejpam-6042	549	1	[	[	X
ejpam-6042	549	2	0	0	NUM
ejpam-6042	549	3	,	,	PUNCT
ejpam-6042	549	4	100	100	NUM
ejpam-6042	549	5	]	]	PUNCT
ejpam-6042	549	6	.	.	PUNCT
ejpam-6042	550	1	z.	z.	PROPN
ejpam-6042	550	2	sun	sun	PROPN
ejpam-6042	550	3	et	et	PROPN
ejpam-6042	550	4	al	al	PROPN
ejpam-6042	550	5	.	.	PUNCT
ejpam-6042	550	6	/	/	SYM
ejpam-6042	550	7	eur	eur	PROPN
ejpam-6042	550	8	.	.	PUNCT
ejpam-6042	551	1	j.	j.	PROPN
ejpam-6042	551	2	pure	pure	PROPN
ejpam-6042	551	3	appl	appl	PROPN
ejpam-6042	551	4	.	.	PROPN
ejpam-6042	551	5	math	math	PROPN
ejpam-6042	551	6	,	,	PUNCT
ejpam-6042	551	7	18	18	NUM
ejpam-6042	551	8	(	(	PUNCT
ejpam-6042	551	9	4	4	NUM
ejpam-6042	551	10	)	)	PUNCT
ejpam-6042	551	11	(	(	PUNCT
ejpam-6042	551	12	2025	2025	NUM
ejpam-6042	551	13	)	)	PUNCT
ejpam-6042	551	14	,	,	PUNCT
ejpam-6042	551	15	6042	6042	NUM
ejpam-6042	551	16	38	38	NUM
ejpam-6042	551	17	of	of	ADP
ejpam-6042	551	18	45	45	NUM
ejpam-6042	551	19	in	in	ADP
ejpam-6042	551	20	this	this	DET
ejpam-6042	551	21	section	section	NOUN
ejpam-6042	552	1	,	,	PUNCT
ejpam-6042	552	2	we	we	PRON
ejpam-6042	552	3	conduct	conduct	VERB
ejpam-6042	552	4	a	a	DET
ejpam-6042	552	5	detailed	detailed	ADJ
ejpam-6042	552	6	investigation	investigation	NOUN
ejpam-6042	552	7	of	of	ADP
ejpam-6042	552	8	real	real	ADJ
ejpam-6042	552	9	-	-	PUNCT
ejpam-6042	552	10	world	world	NOUN
ejpam-6042	552	11	experiment	experiment	NOUN
ejpam-6042	552	12	6	6	NUM
ejpam-6042	552	13	to	to	PART
ejpam-6042	552	14	demonstrate	demonstrate	VERB
ejpam-6042	552	15	the	the	DET
ejpam-6042	552	16	superiority	superiority	NOUN
ejpam-6042	552	17	of	of	ADP
ejpam-6042	552	18	the	the	DET
ejpam-6042	552	19	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	552	20	)	)	PUNCT
ejpam-6042	552	21	method	method	NOUN
ejpam-6042	552	22	in	in	ADP
ejpam-6042	552	23	terms	term	NOUN
ejpam-6042	552	24	of	of	ADP
ejpam-6042	552	25	accuracy	accuracy	NOUN
ejpam-6042	552	26	and	and	CCONJ
ejpam-6042	552	27	energy	energy	NOUN
ejpam-6042	552	28	conservation	conservation	NOUN
ejpam-6042	552	29	,	,	PUNCT
ejpam-6042	552	30	achieved	achieve	VERB
ejpam-6042	552	31	through	through	ADP
ejpam-6042	552	32	the	the	DET
ejpam-6042	552	33	use	use	NOUN
ejpam-6042	552	34	of	of	ADP
ejpam-6042	552	35	the	the	DET
ejpam-6042	552	36	trigonometrical	trigonometrical	ADJ
ejpam-6042	552	37	integration	integration	NOUN
ejpam-6042	552	38	technique	technique	NOUN
ejpam-6042	552	39	.	.	PUNCT
ejpam-6042	553	1	figs	fig	NOUN
ejpam-6042	553	2	.	.	PUNCT
ejpam-6042	554	1	26	26	NUM
ejpam-6042	554	2	-	-	SYM
ejpam-6042	554	3	28	28	NUM
ejpam-6042	554	4	visualize	visualize	VERB
ejpam-6042	554	5	the	the	DET
ejpam-6042	554	6	theoretical	theoretical	ADJ
ejpam-6042	554	7	and	and	CCONJ
ejpam-6042	554	8	numerical	numerical	ADJ
ejpam-6042	554	9	solutions	solution	NOUN
ejpam-6042	554	10	of	of	ADP
ejpam-6042	554	11	experiment	experiment	NOUN
ejpam-6042	554	12	6	6	NUM
ejpam-6042	554	13	and	and	CCONJ
ejpam-6042	554	14	the	the	DET
ejpam-6042	554	15	absolute	absolute	ADJ
ejpam-6042	554	16	value	value	NOUN
ejpam-6042	554	17	of	of	ADP
ejpam-6042	554	18	their	their	PRON
ejpam-6042	554	19	differences	difference	NOUN
ejpam-6042	554	20	.	.	PUNCT
ejpam-6042	555	1	fig	fig	NOUN
ejpam-6042	555	2	.	.	PUNCT
ejpam-6042	556	1	28	28	NUM
ejpam-6042	556	2	displays	display	VERB
ejpam-6042	556	3	how	how	SCONJ
ejpam-6042	556	4	the	the	DET
ejpam-6042	556	5	lte	lte	PROPN
ejpam-6042	556	6	changes	change	VERB
ejpam-6042	556	7	during	during	ADP
ejpam-6042	556	8	the	the	DET
ejpam-6042	556	9	integration	integration	NOUN
ejpam-6042	556	10	process	process	NOUN
ejpam-6042	556	11	from	from	ADP
ejpam-6042	556	12	t	t	PROPN
ejpam-6042	556	13	=	=	SYM
ejpam-6042	556	14	0	0	PROPN
ejpam-6042	556	15	to	to	ADP
ejpam-6042	556	16	t	t	NOUN
ejpam-6042	556	17	=	=	SYM
ejpam-6042	556	18	100	100	NUM
ejpam-6042	556	19	.	.	PUNCT
ejpam-6042	557	1	note	note	VERB
ejpam-6042	557	2	that	that	SCONJ
ejpam-6042	557	3	lte	lte	PROPN
ejpam-6042	557	4	does	do	AUX
ejpam-6042	557	5	n’t	not	PART
ejpam-6042	557	6	decrease	decrease	VERB
ejpam-6042	557	7	linearly	linearly	ADV
ejpam-6042	557	8	but	but	CCONJ
ejpam-6042	557	9	with	with	ADP
ejpam-6042	557	10	oscillatory	oscillatory	ADJ
ejpam-6042	557	11	behavior	behavior	NOUN
ejpam-6042	557	12	,	,	PUNCT
ejpam-6042	557	13	in	in	ADP
ejpam-6042	557	14	the	the	DET
ejpam-6042	557	15	meanwhile	meanwhile	NOUN
ejpam-6042	557	16	,	,	PUNCT
ejpam-6042	557	17	the	the	DET
ejpam-6042	557	18	oscillation	oscillation	NOUN
ejpam-6042	557	19	amplitude	amplitude	NOUN
ejpam-6042	557	20	is	be	AUX
ejpam-6042	557	21	regular	regular	ADJ
ejpam-6042	557	22	.	.	PUNCT
ejpam-6042	558	1	the	the	DET
ejpam-6042	558	2	reasons	reason	NOUN
ejpam-6042	558	3	for	for	ADP
ejpam-6042	558	4	these	these	DET
ejpam-6042	558	5	two	two	NUM
ejpam-6042	558	6	phenomena	phenomenon	NOUN
ejpam-6042	558	7	are	be	AUX
ejpam-6042	558	8	that	that	SCONJ
ejpam-6042	558	9	the	the	DET
ejpam-6042	558	10	displacement	displacement	ADJ
ejpam-6042	558	11	change	change	NOUN
ejpam-6042	558	12	of	of	ADP
ejpam-6042	558	13	two	two	NUM
ejpam-6042	558	14	cars	car	NOUN
ejpam-6042	558	15	in	in	ADP
ejpam-6042	558	16	experiment	experiment	NOUN
ejpam-6042	558	17	6	6	NUM
ejpam-6042	558	18	behaves	behave	NOUN
ejpam-6042	558	19	in	in	ADP
ejpam-6042	558	20	an	an	DET
ejpam-6042	558	21	oscillatory	oscillatory	ADJ
ejpam-6042	558	22	manner	manner	NOUN
ejpam-6042	558	23	and	and	CCONJ
ejpam-6042	558	24	the	the	DET
ejpam-6042	558	25	two	two	NUM
ejpam-6042	558	26	odes	ode	NOUN
ejpam-6042	558	27	of	of	ADP
ejpam-6042	558	28	experiment	experiment	NOUN
ejpam-6042	558	29	6	6	NUM
ejpam-6042	558	30	is	be	AUX
ejpam-6042	558	31	linear	linear	ADJ
ejpam-6042	558	32	.	.	PUNCT
ejpam-6042	559	1	also	also	ADV
ejpam-6042	559	2	,	,	PUNCT
ejpam-6042	559	3	fig	fig	NOUN
ejpam-6042	559	4	.	.	PUNCT
ejpam-6042	560	1	29	29	NUM
ejpam-6042	560	2	illustrates	illustrate	VERB
ejpam-6042	560	3	the	the	DET
ejpam-6042	560	4	superiority	superiority	NOUN
ejpam-6042	560	5	of	of	ADP
ejpam-6042	560	6	the	the	DET
ejpam-6042	560	7	accuracy	accuracy	NOUN
ejpam-6042	560	8	of	of	ADP
ejpam-6042	560	9	trigonometrical	trigonometrical	ADJ
ejpam-6042	560	10	integration	integration	NOUN
ejpam-6042	560	11	technique	technique	NOUN
ejpam-6042	560	12	through	through	ADP
ejpam-6042	560	13	comparing	compare	VERB
ejpam-6042	560	14	the	the	DET
ejpam-6042	560	15	ltes	lte	NOUN
ejpam-6042	560	16	generated	generate	VERB
ejpam-6042	560	17	by	by	ADP
ejpam-6042	560	18	the	the	DET
ejpam-6042	560	19	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	560	20	)	)	PUNCT
ejpam-6042	560	21	and	and	CCONJ
ejpam-6042	560	22	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	560	23	)	)	PUNCT
ejpam-6042	560	24	methods	method	NOUN
ejpam-6042	560	25	,	,	PUNCT
ejpam-6042	560	26	respectively	respectively	ADV
ejpam-6042	560	27	.	.	PUNCT
ejpam-6042	561	1	z.	z.	PROPN
ejpam-6042	561	2	sun	sun	PROPN
ejpam-6042	561	3	et	et	PROPN
ejpam-6042	561	4	al	al	PROPN
ejpam-6042	561	5	.	.	PUNCT
ejpam-6042	561	6	/	/	SYM
ejpam-6042	561	7	eur	eur	PROPN
ejpam-6042	561	8	.	.	PUNCT
ejpam-6042	562	1	j.	j.	PROPN
ejpam-6042	562	2	pure	pure	PROPN
ejpam-6042	562	3	appl	appl	PROPN
ejpam-6042	562	4	.	.	PROPN
ejpam-6042	562	5	math	math	PROPN
ejpam-6042	562	6	,	,	PUNCT
ejpam-6042	562	7	18	18	NUM
ejpam-6042	562	8	(	(	PUNCT
ejpam-6042	562	9	4	4	NUM
ejpam-6042	562	10	)	)	PUNCT
ejpam-6042	562	11	(	(	PUNCT
ejpam-6042	562	12	2025	2025	NUM
ejpam-6042	562	13	)	)	PUNCT
ejpam-6042	562	14	,	,	PUNCT
ejpam-6042	562	15	6042	6042	NUM
ejpam-6042	562	16	39	39	NUM
ejpam-6042	562	17	of	of	ADP
ejpam-6042	562	18	45	45	NUM
ejpam-6042	562	19	figure	figure	NOUN
ejpam-6042	562	20	30	30	NUM
ejpam-6042	562	21	:	:	PUNCT
ejpam-6042	562	22	hamiltonian	hamiltonian	ADJ
ejpam-6042	562	23	energy	energy	NOUN
ejpam-6042	562	24	conversation	conversation	NOUN
ejpam-6042	562	25	for	for	ADP
ejpam-6042	562	26	the	the	DET
ejpam-6042	562	27	experiment	experiment	NOUN
ejpam-6042	562	28	6	6	NUM
ejpam-6042	562	29	with	with	ADP
ejpam-6042	562	30	h	h	NOUN
ejpam-6042	562	31	=	=	NOUN
ejpam-6042	562	32	0.125	0.125	NUM
ejpam-6042	562	33	and	and	CCONJ
ejpam-6042	562	34	t	t	NOUN
ejpam-6042	562	35	∈	∈	PROPN
ejpam-6042	563	1	[	[	X
ejpam-6042	563	2	0	0	NUM
ejpam-6042	563	3	,	,	PUNCT
ejpam-6042	563	4	100	100	NUM
ejpam-6042	563	5	]	]	PUNCT
ejpam-6042	563	6	.	.	PUNCT
ejpam-6042	564	1	figure	figure	NOUN
ejpam-6042	564	2	31	31	NUM
ejpam-6042	564	3	:	:	PUNCT
ejpam-6042	564	4	lagrangian	lagrangian	ADJ
ejpam-6042	564	5	energy	energy	NOUN
ejpam-6042	564	6	conversation	conversation	NOUN
ejpam-6042	564	7	for	for	ADP
ejpam-6042	564	8	the	the	DET
ejpam-6042	564	9	experiment	experiment	NOUN
ejpam-6042	564	10	6	6	NUM
ejpam-6042	564	11	with	with	ADP
ejpam-6042	564	12	h	h	NOUN
ejpam-6042	564	13	=	=	NOUN
ejpam-6042	564	14	0.125	0.125	NUM
ejpam-6042	564	15	and	and	CCONJ
ejpam-6042	564	16	t	t	NOUN
ejpam-6042	564	17	∈	∈	PROPN
ejpam-6042	565	1	[	[	X
ejpam-6042	565	2	0	0	NUM
ejpam-6042	565	3	,	,	PUNCT
ejpam-6042	565	4	100	100	NUM
ejpam-6042	565	5	]	]	PUNCT
ejpam-6042	565	6	.	.	PUNCT
ejpam-6042	566	1	figure	figure	NOUN
ejpam-6042	566	2	32	32	NUM
ejpam-6042	566	3	:	:	PUNCT
ejpam-6042	566	4	momentum	momentum	NOUN
ejpam-6042	566	5	conversation	conversation	NOUN
ejpam-6042	566	6	for	for	ADP
ejpam-6042	566	7	experiment	experiment	NOUN
ejpam-6042	566	8	the	the	DET
ejpam-6042	566	9	6	6	NUM
ejpam-6042	566	10	with	with	ADP
ejpam-6042	566	11	h	h	NOUN
ejpam-6042	566	12	=	=	NOUN
ejpam-6042	566	13	0.125	0.125	NUM
ejpam-6042	566	14	and	and	CCONJ
ejpam-6042	566	15	t	t	NOUN
ejpam-6042	566	16	∈	∈	PROPN
ejpam-6042	567	1	[	[	X
ejpam-6042	567	2	0	0	NUM
ejpam-6042	567	3	,	,	PUNCT
ejpam-6042	567	4	100	100	NUM
ejpam-6042	567	5	]	]	PUNCT
ejpam-6042	567	6	.	.	PUNCT
ejpam-6042	568	1	figure	figure	VERB
ejpam-6042	568	2	33	33	NUM
ejpam-6042	568	3	:	:	PUNCT
ejpam-6042	568	4	relative	relative	ADJ
ejpam-6042	568	5	energy	energy	NOUN
ejpam-6042	568	6	exchange	exchange	NOUN
ejpam-6042	568	7	for	for	ADP
ejpam-6042	568	8	the	the	DET
ejpam-6042	568	9	experiment	experiment	NOUN
ejpam-6042	568	10	6	6	NUM
ejpam-6042	568	11	with	with	ADP
ejpam-6042	568	12	h	h	NOUN
ejpam-6042	568	13	=	=	NOUN
ejpam-6042	568	14	0.125	0.125	NUM
ejpam-6042	568	15	and	and	CCONJ
ejpam-6042	568	16	t	t	NOUN
ejpam-6042	568	17	∈	∈	PROPN
ejpam-6042	569	1	[	[	X
ejpam-6042	569	2	0	0	NUM
ejpam-6042	569	3	,	,	PUNCT
ejpam-6042	569	4	5	5	NUM
ejpam-6042	569	5	]	]	PUNCT
ejpam-6042	569	6	.	.	PUNCT
ejpam-6042	570	1	z.	z.	PROPN
ejpam-6042	570	2	sun	sun	PROPN
ejpam-6042	570	3	et	et	PROPN
ejpam-6042	570	4	al	al	PROPN
ejpam-6042	570	5	.	.	PUNCT
ejpam-6042	570	6	/	/	SYM
ejpam-6042	570	7	eur	eur	PROPN
ejpam-6042	570	8	.	.	PUNCT
ejpam-6042	571	1	j.	j.	PROPN
ejpam-6042	571	2	pure	pure	PROPN
ejpam-6042	571	3	appl	appl	PROPN
ejpam-6042	571	4	.	.	PROPN
ejpam-6042	571	5	math	math	PROPN
ejpam-6042	571	6	,	,	PUNCT
ejpam-6042	571	7	18	18	NUM
ejpam-6042	571	8	(	(	PUNCT
ejpam-6042	571	9	4	4	NUM
ejpam-6042	571	10	)	)	PUNCT
ejpam-6042	571	11	(	(	PUNCT
ejpam-6042	571	12	2025	2025	NUM
ejpam-6042	571	13	)	)	PUNCT
ejpam-6042	571	14	,	,	PUNCT
ejpam-6042	571	15	6042	6042	NUM
ejpam-6042	571	16	40	40	NUM
ejpam-6042	571	17	of	of	ADP
ejpam-6042	571	18	45	45	NUM
ejpam-6042	571	19	subsequently	subsequently	ADV
ejpam-6042	571	20	,	,	PUNCT
ejpam-6042	571	21	figs	fig	NOUN
ejpam-6042	571	22	.	.	PUNCT
ejpam-6042	572	1	30	30	NUM
ejpam-6042	572	2	-	-	SYM
ejpam-6042	572	3	32	32	NUM
ejpam-6042	572	4	visually	visually	ADV
ejpam-6042	572	5	illustrate	illustrate	VERB
ejpam-6042	572	6	the	the	DET
ejpam-6042	572	7	superior	superior	ADJ
ejpam-6042	572	8	performance	performance	NOUN
ejpam-6042	572	9	of	of	ADP
ejpam-6042	572	10	the	the	DET
ejpam-6042	572	11	hamiltonian	hamiltonian	ADJ
ejpam-6042	572	12	energy	energy	NOUN
ejpam-6042	572	13	,	,	PUNCT
ejpam-6042	572	14	lagrangian	lagrangian	ADJ
ejpam-6042	572	15	energy	energy	NOUN
ejpam-6042	572	16	,	,	PUNCT
ejpam-6042	572	17	and	and	CCONJ
ejpam-6042	572	18	momentum	momentum	NOUN
ejpam-6042	572	19	conservation	conservation	NOUN
ejpam-6042	572	20	in	in	ADP
ejpam-6042	572	21	experiment	experiment	NOUN
ejpam-6042	572	22	6	6	NUM
ejpam-6042	572	23	,	,	PUNCT
ejpam-6042	572	24	using	use	VERB
ejpam-6042	572	25	the	the	DET
ejpam-6042	572	26	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	572	27	)	)	PUNCT
ejpam-6042	572	28	method	method	NOUN
ejpam-6042	572	29	with	with	ADP
ejpam-6042	572	30	h	h	NOUN
ejpam-6042	572	31	=	=	NOUN
ejpam-6042	572	32	0.125	0.125	NUM
ejpam-6042	572	33	and	and	CCONJ
ejpam-6042	572	34	t	t	NOUN
ejpam-6042	572	35	∈	∈	PROPN
ejpam-6042	573	1	[	[	X
ejpam-6042	573	2	0	0	NUM
ejpam-6042	573	3	,	,	PUNCT
ejpam-6042	573	4	100	100	NUM
ejpam-6042	573	5	]	]	PUNCT
ejpam-6042	573	6	.	.	PUNCT
ejpam-6042	574	1	it	it	PRON
ejpam-6042	574	2	should	should	AUX
ejpam-6042	574	3	be	be	AUX
ejpam-6042	574	4	noted	note	VERB
ejpam-6042	574	5	that	that	SCONJ
ejpam-6042	574	6	these	these	DET
ejpam-6042	574	7	three	three	NUM
ejpam-6042	574	8	errors	error	NOUN
ejpam-6042	574	9	do	do	AUX
ejpam-6042	574	10	not	not	PART
ejpam-6042	574	11	exhibit	exhibit	VERB
ejpam-6042	574	12	a	a	DET
ejpam-6042	574	13	linear	linear	ADJ
ejpam-6042	574	14	increase	increase	NOUN
ejpam-6042	574	15	but	but	CCONJ
ejpam-6042	574	16	rather	rather	ADV
ejpam-6042	574	17	display	display	VERB
ejpam-6042	574	18	an	an	DET
ejpam-6042	574	19	oscillatory	oscillatory	ADJ
ejpam-6042	574	20	behavior	behavior	NOUN
ejpam-6042	574	21	due	due	ADP
ejpam-6042	574	22	to	to	ADP
ejpam-6042	574	23	the	the	DET
ejpam-6042	574	24	oscillatory	oscillatory	ADJ
ejpam-6042	574	25	manner	manner	NOUN
ejpam-6042	574	26	of	of	ADP
ejpam-6042	574	27	the	the	DET
ejpam-6042	574	28	system	system	NOUN
ejpam-6042	574	29	’s	’s	PART
ejpam-6042	574	30	odes	ode	NOUN
ejpam-6042	574	31	in	in	ADP
ejpam-6042	574	32	experiment	experiment	NOUN
ejpam-6042	574	33	6	6	NUM
ejpam-6042	574	34	.	.	PUNCT
ejpam-6042	575	1	as	as	SCONJ
ejpam-6042	575	2	time	time	NOUN
ejpam-6042	575	3	t	t	PROPN
ejpam-6042	575	4	progresses	progress	VERB
ejpam-6042	575	5	from	from	ADP
ejpam-6042	575	6	1	1	NUM
ejpam-6042	575	7	to	to	PART
ejpam-6042	575	8	100	100	NUM
ejpam-6042	575	9	,	,	PUNCT
ejpam-6042	575	10	the	the	DET
ejpam-6042	575	11	already	already	ADV
ejpam-6042	575	12	small	small	ADJ
ejpam-6042	575	13	relative	relative	ADJ
ejpam-6042	575	14	errors	error	NOUN
ejpam-6042	575	15	increase	increase	VERB
ejpam-6042	575	16	in	in	ADP
ejpam-6042	575	17	an	an	DET
ejpam-6042	575	18	oscillatory	oscillatory	ADJ
ejpam-6042	575	19	manner	manner	NOUN
ejpam-6042	575	20	,	,	PUNCT
ejpam-6042	575	21	further	far	ADV
ejpam-6042	575	22	highlighting	highlight	VERB
ejpam-6042	575	23	their	their	PRON
ejpam-6042	575	24	stability	stability	NOUN
ejpam-6042	575	25	.	.	PUNCT
ejpam-6042	576	1	at	at	ADP
ejpam-6042	576	2	last	last	ADJ
ejpam-6042	576	3	,	,	PUNCT
ejpam-6042	576	4	fig	fig	NOUN
ejpam-6042	576	5	.	.	PUNCT
ejpam-6042	577	1	33	33	NUM
ejpam-6042	577	2	shows	show	VERB
ejpam-6042	577	3	the	the	DET
ejpam-6042	577	4	relative	relative	ADJ
ejpam-6042	577	5	energy	energy	NOUN
ejpam-6042	577	6	exchange	exchange	NOUN
ejpam-6042	577	7	process	process	NOUN
ejpam-6042	577	8	with	with	ADP
ejpam-6042	577	9	h	h	NOUN
ejpam-6042	577	10	=	=	NOUN
ejpam-6042	577	11	0.125	0.125	NUM
ejpam-6042	577	12	and	and	CCONJ
ejpam-6042	577	13	t	t	NOUN
ejpam-6042	577	14	∈	∈	PROPN
ejpam-6042	578	1	[	[	X
ejpam-6042	578	2	0	0	NUM
ejpam-6042	578	3	,	,	PUNCT
ejpam-6042	578	4	5	5	NUM
ejpam-6042	578	5	]	]	PUNCT
ejpam-6042	578	6	for	for	ADP
ejpam-6042	578	7	the	the	DET
ejpam-6042	578	8	experiment	experiment	NOUN
ejpam-6042	578	9	6	6	NUM
ejpam-6042	578	10	.	.	PUNCT
ejpam-6042	579	1	throughout	throughout	ADP
ejpam-6042	579	2	the	the	DET
ejpam-6042	579	3	process	process	NOUN
ejpam-6042	579	4	,	,	PUNCT
ejpam-6042	579	5	the	the	DET
ejpam-6042	579	6	three	three	NUM
ejpam-6042	579	7	quantities	quantity	NOUN
ejpam-6042	579	8	exhibit	exhibit	VERB
ejpam-6042	579	9	a	a	DET
ejpam-6042	579	10	regular	regular	ADJ
ejpam-6042	579	11	,	,	PUNCT
ejpam-6042	579	12	periodic	periodic	ADJ
ejpam-6042	579	13	behavior	behavior	NOUN
ejpam-6042	579	14	,	,	PUNCT
ejpam-6042	579	15	most	most	ADV
ejpam-6042	579	16	notably	notably	ADV
ejpam-6042	579	17	following	follow	VERB
ejpam-6042	579	18	an	an	DET
ejpam-6042	579	19	oscillatory	oscillatory	ADJ
ejpam-6042	579	20	pattern	pattern	NOUN
ejpam-6042	579	21	resembling	resemble	VERB
ejpam-6042	579	22	sine	sine	NOUN
ejpam-6042	579	23	and	and	CCONJ
ejpam-6042	579	24	cosine	cosine	NOUN
ejpam-6042	579	25	functions	function	NOUN
ejpam-6042	579	26	like	like	ADP
ejpam-6042	579	27	sin	sin	NOUN
ejpam-6042	579	28	(	(	PUNCT
ejpam-6042	579	29	t	t	NOUN
ejpam-6042	579	30	)	)	PUNCT
ejpam-6042	579	31	and	and	CCONJ
ejpam-6042	579	32	cos	cos	PROPN
ejpam-6042	579	33	(	(	PUNCT
ejpam-6042	579	34	t	t	PROPN
ejpam-6042	579	35	)	)	PUNCT
ejpam-6042	579	36	,	,	PUNCT
ejpam-6042	579	37	as	as	SCONJ
ejpam-6042	579	38	they	they	PRON
ejpam-6042	579	39	evolve	evolve	VERB
ejpam-6042	579	40	over	over	ADP
ejpam-6042	579	41	time	time	NOUN
ejpam-6042	579	42	.	.	PUNCT
ejpam-6042	580	1	10	10	NUM
ejpam-6042	580	2	.	.	PUNCT
ejpam-6042	580	3	conclusions	conclusion	NOUN
ejpam-6042	580	4	in	in	ADP
ejpam-6042	580	5	this	this	DET
ejpam-6042	580	6	paper	paper	NOUN
ejpam-6042	580	7	,	,	PUNCT
ejpam-6042	580	8	we	we	PRON
ejpam-6042	580	9	proposed	propose	VERB
ejpam-6042	580	10	a	a	DET
ejpam-6042	580	11	new	new	ADJ
ejpam-6042	580	12	three	three	NUM
ejpam-6042	580	13	-	-	PUNCT
ejpam-6042	580	14	stage	stage	NOUN
ejpam-6042	580	15	and	and	CCONJ
ejpam-6042	580	16	fifth	fifth	ADJ
ejpam-6042	580	17	-	-	PUNCT
ejpam-6042	580	18	order	order	NOUN
ejpam-6042	580	19	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	580	20	)	)	PUNCT
ejpam-6042	580	21	method	method	NOUN
ejpam-6042	580	22	,	,	PUNCT
ejpam-6042	580	23	based	base	VERB
ejpam-6042	580	24	initially	initially	ADV
ejpam-6042	580	25	on	on	ADP
ejpam-6042	580	26	the	the	DET
ejpam-6042	580	27	construction	construction	NOUN
ejpam-6042	580	28	of	of	ADP
ejpam-6042	580	29	the	the	DET
ejpam-6042	580	30	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	580	31	)	)	PUNCT
ejpam-6042	580	32	method	method	NOUN
ejpam-6042	580	33	.	.	PUNCT
ejpam-6042	581	1	we	we	PRON
ejpam-6042	581	2	performed	perform	VERB
ejpam-6042	581	3	an	an	DET
ejpam-6042	581	4	detailed	detailed	ADJ
ejpam-6042	581	5	stability	stability	NOUN
ejpam-6042	581	6	analysis	analysis	NOUN
ejpam-6042	581	7	of	of	ADP
ejpam-6042	581	8	the	the	DET
ejpam-6042	581	9	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	581	10	)	)	PUNCT
ejpam-6042	581	11	method	method	NOUN
ejpam-6042	581	12	including	include	VERB
ejpam-6042	581	13	stability	stability	NOUN
ejpam-6042	581	14	matrix	matrix	NOUN
ejpam-6042	581	15	,	,	PUNCT
ejpam-6042	581	16	dispersion	dispersion	NOUN
ejpam-6042	581	17	and	and	CCONJ
ejpam-6042	581	18	dissipation	dissipation	NOUN
ejpam-6042	581	19	error	error	NOUN
ejpam-6042	581	20	analysis	analysis	NOUN
ejpam-6042	581	21	and	and	CCONJ
ejpam-6042	581	22	stability	stability	NOUN
ejpam-6042	581	23	properties	property	NOUN
ejpam-6042	581	24	and	and	CCONJ
ejpam-6042	581	25	regions	region	NOUN
ejpam-6042	581	26	.	.	PUNCT
ejpam-6042	582	1	we	we	PRON
ejpam-6042	582	2	derived	derive	VERB
ejpam-6042	582	3	the	the	DET
ejpam-6042	582	4	stability	stability	NOUN
ejpam-6042	582	5	matrix	matrix	NOUN
ejpam-6042	582	6	and	and	CCONJ
ejpam-6042	582	7	decided	decide	VERB
ejpam-6042	582	8	to	to	PART
ejpam-6042	582	9	conduct	conduct	VERB
ejpam-6042	582	10	the	the	DET
ejpam-6042	582	11	stability	stability	NOUN
ejpam-6042	582	12	analysis	analysis	NOUN
ejpam-6042	582	13	considering	consider	VERB
ejpam-6042	582	14	two	two	NUM
ejpam-6042	582	15	cases	case	NOUN
ejpam-6042	582	16	,	,	PUNCT
ejpam-6042	582	17	λ	λ	X
ejpam-6042	582	18	=	=	SYM
ejpam-6042	582	19	µ	µ	X
ejpam-6042	582	20	and	and	CCONJ
ejpam-6042	582	21	λ	λ	PROPN
ejpam-6042	582	22	̸=	̸=	PROPN
ejpam-6042	582	23	µ.	µ.	NOUN
ejpam-6042	582	24	in	in	ADP
ejpam-6042	582	25	this	this	DET
ejpam-6042	582	26	case	case	NOUN
ejpam-6042	582	27	,	,	PUNCT
ejpam-6042	582	28	the	the	DET
ejpam-6042	582	29	dispersion	dispersion	NOUN
ejpam-6042	582	30	and	and	CCONJ
ejpam-6042	582	31	the	the	DET
ejpam-6042	582	32	dissipation	dissipation	NOUN
ejpam-6042	582	33	error	error	NOUN
ejpam-6042	582	34	were	be	AUX
ejpam-6042	582	35	introduced	introduce	VERB
ejpam-6042	582	36	,	,	PUNCT
ejpam-6042	582	37	followed	follow	VERB
ejpam-6042	582	38	by	by	ADP
ejpam-6042	582	39	the	the	DET
ejpam-6042	582	40	presentation	presentation	NOUN
ejpam-6042	582	41	of	of	ADP
ejpam-6042	582	42	the	the	DET
ejpam-6042	582	43	necessary	necessary	ADJ
ejpam-6042	582	44	and	and	CCONJ
ejpam-6042	582	45	sufficient	sufficient	ADJ
ejpam-6042	582	46	conditions	condition	NOUN
ejpam-6042	582	47	.	.	PUNCT
ejpam-6042	583	1	it	it	PRON
ejpam-6042	583	2	was	be	AUX
ejpam-6042	583	3	then	then	ADV
ejpam-6042	583	4	proven	prove	VERB
ejpam-6042	583	5	that	that	SCONJ
ejpam-6042	583	6	the	the	DET
ejpam-6042	583	7	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	583	8	)	)	PUNCT
ejpam-6042	583	9	method	method	NOUN
ejpam-6042	583	10	achieves	achieve	VERB
ejpam-6042	583	11	dispersion	dispersion	NOUN
ejpam-6042	583	12	of	of	ADP
ejpam-6042	583	13	order	order	NOUN
ejpam-6042	583	14	2	2	NUM
ejpam-6042	583	15	and	and	CCONJ
ejpam-6042	583	16	dissipation	dissipation	NOUN
ejpam-6042	583	17	of	of	ADP
ejpam-6042	583	18	order	order	NOUN
ejpam-6042	583	19	3	3	X
ejpam-6042	583	20	.	.	PUNCT
ejpam-6042	584	1	for	for	ADP
ejpam-6042	584	2	the	the	DET
ejpam-6042	584	3	case	case	NOUN
ejpam-6042	584	4	,	,	PUNCT
ejpam-6042	584	5	λ	λ	X
ejpam-6042	584	6	=	=	SYM
ejpam-6042	584	7	µ	µ	NUM
ejpam-6042	584	8	,	,	PUNCT
ejpam-6042	584	9	we	we	PRON
ejpam-6042	584	10	defined	define	VERB
ejpam-6042	584	11	and	and	CCONJ
ejpam-6042	584	12	plotted	plot	VERB
ejpam-6042	584	13	the	the	DET
ejpam-6042	584	14	stability	stability	NOUN
ejpam-6042	584	15	region	region	NOUN
ejpam-6042	584	16	,	,	PUNCT
ejpam-6042	584	17	then	then	ADV
ejpam-6042	584	18	illustrated	illustrate	VERB
ejpam-6042	584	19	the	the	DET
ejpam-6042	584	20	stability	stability	NOUN
ejpam-6042	584	21	property	property	NOUN
ejpam-6042	584	22	for	for	ADP
ejpam-6042	584	23	the	the	DET
ejpam-6042	584	24	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	584	25	)	)	PUNCT
ejpam-6042	584	26	method	method	NOUN
ejpam-6042	584	27	.	.	PUNCT
ejpam-6042	585	1	stability	stability	NOUN
ejpam-6042	585	2	interval	interval	NOUN
ejpam-6042	585	3	was	be	AUX
ejpam-6042	585	4	introduced	introduce	VERB
ejpam-6042	585	5	and	and	CCONJ
ejpam-6042	585	6	calculated	calculate	VERB
ejpam-6042	585	7	,	,	PUNCT
ejpam-6042	585	8	(	(	PUNCT
ejpam-6042	585	9	−1.588	−1.588	NOUN
ejpam-6042	585	10	,	,	PUNCT
ejpam-6042	585	11	0	0	NUM
ejpam-6042	585	12	)	)	PUNCT
ejpam-6042	585	13	.	.	PUNCT
ejpam-6042	586	1	for	for	ADP
ejpam-6042	586	2	the	the	DET
ejpam-6042	586	3	other	other	ADJ
ejpam-6042	586	4	case	case	NOUN
ejpam-6042	586	5	,	,	PUNCT
ejpam-6042	586	6	λ	λ	PROPN
ejpam-6042	586	7	̸=	̸=	PROPN
ejpam-6042	586	8	µ	µ	NUM
ejpam-6042	586	9	,	,	PUNCT
ejpam-6042	586	10	we	we	PRON
ejpam-6042	586	11	similarly	similarly	ADV
ejpam-6042	586	12	defined	define	VERB
ejpam-6042	586	13	and	and	CCONJ
ejpam-6042	586	14	plotted	plot	VERB
ejpam-6042	586	15	the	the	DET
ejpam-6042	586	16	periodicity	periodicity	NOUN
ejpam-6042	586	17	stability	stability	NOUN
ejpam-6042	586	18	region	region	NOUN
ejpam-6042	586	19	,	,	PUNCT
ejpam-6042	586	20	then	then	ADV
ejpam-6042	586	21	analysed	analyse	VERB
ejpam-6042	586	22	the	the	DET
ejpam-6042	586	23	stability	stability	NOUN
ejpam-6042	586	24	property	property	NOUN
ejpam-6042	586	25	of	of	ADP
ejpam-6042	586	26	characteristic	characteristic	ADJ
ejpam-6042	586	27	polynomial	polynomial	NOUN
ejpam-6042	586	28	for	for	ADP
ejpam-6042	586	29	the	the	DET
ejpam-6042	586	30	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	586	31	)	)	PUNCT
ejpam-6042	586	32	method	method	NOUN
ejpam-6042	586	33	.	.	PUNCT
ejpam-6042	587	1	after	after	ADP
ejpam-6042	587	2	that	that	PRON
ejpam-6042	587	3	,	,	PUNCT
ejpam-6042	587	4	we	we	PRON
ejpam-6042	587	5	proved	prove	VERB
ejpam-6042	587	6	that	that	SCONJ
ejpam-6042	587	7	the	the	DET
ejpam-6042	587	8	etdrkn(5	etdrkn(5	NOUN
ejpam-6042	587	9	)	)	PUNCT
ejpam-6042	587	10	method	method	NOUN
ejpam-6042	587	11	is	be	AUX
ejpam-6042	587	12	algebraic	algebraic	ADJ
ejpam-6042	587	13	of	of	ADP
ejpam-6042	587	14	order	order	NOUN
ejpam-6042	587	15	5	5	NUM
ejpam-6042	587	16	.	.	PUNCT
ejpam-6042	587	17	importantly	importantly	ADV
ejpam-6042	587	18	,	,	PUNCT
ejpam-6042	587	19	to	to	PART
ejpam-6042	587	20	evaluate	evaluate	VERB
ejpam-6042	587	21	the	the	DET
ejpam-6042	587	22	numerical	numerical	ADJ
ejpam-6042	587	23	effectiveness	effectiveness	NOUN
ejpam-6042	587	24	and	and	CCONJ
ejpam-6042	587	25	accuracy	accuracy	NOUN
ejpam-6042	587	26	of	of	ADP
ejpam-6042	587	27	the	the	DET
ejpam-6042	587	28	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	587	29	)	)	PUNCT
ejpam-6042	587	30	method	method	NOUN
ejpam-6042	587	31	,	,	PUNCT
ejpam-6042	587	32	we	we	PRON
ejpam-6042	587	33	performed	perform	VERB
ejpam-6042	587	34	numerical	numerical	ADJ
ejpam-6042	587	35	tests	test	NOUN
ejpam-6042	587	36	on	on	ADP
ejpam-6042	587	37	the	the	DET
ejpam-6042	587	38	first	first	ADJ
ejpam-6042	587	39	seven	seven	NUM
ejpam-6042	587	40	experiments	experiment	NOUN
ejpam-6042	587	41	with	with	ADP
ejpam-6042	587	42	theoretically	theoretically	ADV
ejpam-6042	587	43	periodic	periodic	ADJ
ejpam-6042	587	44	solutions	solution	NOUN
ejpam-6042	587	45	,	,	PUNCT
ejpam-6042	587	46	and	and	CCONJ
ejpam-6042	587	47	on	on	ADP
ejpam-6042	587	48	experiment	experiment	NOUN
ejpam-6042	587	49	6	6	NUM
ejpam-6042	587	50	,	,	PUNCT
ejpam-6042	587	51	which	which	PRON
ejpam-6042	587	52	lacks	lack	VERB
ejpam-6042	587	53	a	a	DET
ejpam-6042	587	54	periodic	periodic	ADJ
ejpam-6042	587	55	solution	solution	NOUN
ejpam-6042	587	56	.	.	PUNCT
ejpam-6042	588	1	the	the	DET
ejpam-6042	588	2	new	new	ADJ
ejpam-6042	588	3	proposed	propose	VERB
ejpam-6042	588	4	method	method	NOUN
ejpam-6042	588	5	was	be	AUX
ejpam-6042	588	6	compared	compare	VERB
ejpam-6042	588	7	with	with	ADP
ejpam-6042	588	8	four	four	NUM
ejpam-6042	588	9	selected	select	VERB
ejpam-6042	588	10	existing	exist	VERB
ejpam-6042	588	11	methods	method	NOUN
ejpam-6042	588	12	by	by	ADP
ejpam-6042	588	13	plotting	plot	VERB
ejpam-6042	588	14	the	the	DET
ejpam-6042	588	15	mgte	mgte	NOUN
ejpam-6042	588	16	against	against	ADP
ejpam-6042	588	17	the	the	DET
ejpam-6042	588	18	step	step	NOUN
ejpam-6042	588	19	size	size	NOUN
ejpam-6042	588	20	,	,	PUNCT
ejpam-6042	588	21	h.	h.	PROPN
ejpam-6042	588	22	the	the	DET
ejpam-6042	588	23	results	result	NOUN
ejpam-6042	588	24	of	of	ADP
ejpam-6042	588	25	tables	table	NOUN
ejpam-6042	588	26	and	and	CCONJ
ejpam-6042	588	27	graphs	graph	NOUN
ejpam-6042	588	28	and	and	CCONJ
ejpam-6042	588	29	discussion	discussion	NOUN
ejpam-6042	588	30	demonstrated	demonstrate	VERB
ejpam-6042	588	31	that	that	SCONJ
ejpam-6042	588	32	the	the	DET
ejpam-6042	588	33	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	588	34	)	)	PUNCT
ejpam-6042	588	35	method	method	NOUN
ejpam-6042	588	36	outperforms	outperform	VERB
ejpam-6042	588	37	other	other	ADJ
ejpam-6042	588	38	compared	compare	VERB
ejpam-6042	588	39	methods	method	NOUN
ejpam-6042	588	40	by	by	ADP
ejpam-6042	588	41	producing	produce	VERB
ejpam-6042	588	42	nearly	nearly	ADV
ejpam-6042	588	43	the	the	DET
ejpam-6042	588	44	least	least	ADJ
ejpam-6042	588	45	absolute	absolute	ADJ
ejpam-6042	588	46	maximum	maximum	ADJ
ejpam-6042	588	47	global	global	ADJ
ejpam-6042	588	48	truncation	truncation	NOUN
ejpam-6042	588	49	error	error	NOUN
ejpam-6042	588	50	(	(	PUNCT
ejpam-6042	588	51	except	except	SCONJ
ejpam-6042	588	52	for	for	ADP
ejpam-6042	588	53	experiment	experiment	NOUN
ejpam-6042	588	54	6	6	NUM
ejpam-6042	588	55	)	)	PUNCT
ejpam-6042	588	56	,	,	PUNCT
ejpam-6042	588	57	relatively	relatively	ADV
ejpam-6042	588	58	small	small	ADJ
ejpam-6042	588	59	time	time	NOUN
ejpam-6042	588	60	of	of	ADP
ejpam-6042	588	61	computations	computation	NOUN
ejpam-6042	588	62	and	and	CCONJ
ejpam-6042	588	63	relatively	relatively	ADV
ejpam-6042	588	64	less	less	ADV
ejpam-6042	588	65	(	(	PUNCT
ejpam-6042	588	66	the	the	DET
ejpam-6042	588	67	same	same	ADJ
ejpam-6042	588	68	as	as	ADP
ejpam-6042	588	69	the	the	DET
ejpam-6042	588	70	other	other	ADJ
ejpam-6042	588	71	tdrkn	tdrkn	ADJ
ejpam-6042	588	72	methods	method	NOUN
ejpam-6042	588	73	)	)	PUNCT
ejpam-6042	588	74	number	number	NOUN
ejpam-6042	588	75	of	of	ADP
ejpam-6042	588	76	function	function	NOUN
ejpam-6042	588	77	evaluations	evaluation	NOUN
ejpam-6042	588	78	in	in	ADP
ejpam-6042	588	79	experiments	experiment	NOUN
ejpam-6042	588	80	1	1	NUM
ejpam-6042	588	81	to	to	PART
ejpam-6042	588	82	5	5	NUM
ejpam-6042	588	83	.	.	PUNCT
ejpam-6042	588	84	despite	despite	SCONJ
ejpam-6042	588	85	not	not	PART
ejpam-6042	588	86	achieving	achieve	VERB
ejpam-6042	588	87	the	the	DET
ejpam-6042	588	88	lowest	low	ADJ
ejpam-6042	588	89	numerical	numerical	ADJ
ejpam-6042	588	90	mgte	mgte	PROPN
ejpam-6042	588	91	,	,	PUNCT
ejpam-6042	588	92	the	the	DET
ejpam-6042	588	93	new	new	ADJ
ejpam-6042	588	94	method	method	NOUN
ejpam-6042	588	95	proved	prove	VERB
ejpam-6042	588	96	crucial	crucial	ADJ
ejpam-6042	588	97	for	for	ADP
ejpam-6042	588	98	simulating	simulate	VERB
ejpam-6042	588	99	special	special	ADJ
ejpam-6042	588	100	second	second	ADJ
ejpam-6042	588	101	order	order	NOUN
ejpam-6042	588	102	(	(	PUNCT
ejpam-6042	588	103	system	system	NOUN
ejpam-6042	588	104	)	)	PUNCT
ejpam-6042	588	105	odes	ode	VERB
ejpam-6042	588	106	like	like	ADP
ejpam-6042	588	107	those	those	PRON
ejpam-6042	588	108	in	in	ADP
ejpam-6042	588	109	experiment	experiment	NOUN
ejpam-6042	588	110	6	6	NUM
ejpam-6042	588	111	,	,	PUNCT
ejpam-6042	588	112	which	which	PRON
ejpam-6042	588	113	lack	lack	VERB
ejpam-6042	588	114	theoretical	theoretical	ADJ
ejpam-6042	588	115	solutions	solution	NOUN
ejpam-6042	588	116	.	.	PUNCT
ejpam-6042	589	1	we	we	PRON
ejpam-6042	589	2	further	far	ADV
ejpam-6042	589	3	extended	extend	VERB
ejpam-6042	589	4	our	our	PRON
ejpam-6042	589	5	study	study	NOUN
ejpam-6042	589	6	of	of	ADP
ejpam-6042	589	7	experiment	experiment	NOUN
ejpam-6042	589	8	6	6	NUM
ejpam-6042	589	9	,	,	PUNCT
ejpam-6042	589	10	and	and	CCONJ
ejpam-6042	589	11	the	the	DET
ejpam-6042	589	12	results	result	NOUN
ejpam-6042	589	13	show	show	VERB
ejpam-6042	589	14	that	that	SCONJ
ejpam-6042	589	15	the	the	DET
ejpam-6042	589	16	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	589	17	)	)	PUNCT
ejpam-6042	589	18	method	method	NOUN
ejpam-6042	589	19	significantly	significantly	ADV
ejpam-6042	589	20	outperforms	outperform	VERB
ejpam-6042	589	21	the	the	DET
ejpam-6042	589	22	edtkrn(5	edtkrn(5	NOUN
ejpam-6042	589	23	)	)	PUNCT
ejpam-6042	589	24	method	method	NOUN
ejpam-6042	589	25	,	,	PUNCT
ejpam-6042	589	26	following	follow	VERB
ejpam-6042	589	27	the	the	DET
ejpam-6042	589	28	application	application	NOUN
ejpam-6042	589	29	of	of	ADP
ejpam-6042	589	30	the	the	DET
ejpam-6042	589	31	trigonometrically	trigonometrically	ADV
ejpam-6042	589	32	-	-	PUNCT
ejpam-6042	589	33	fitting	fit	VERB
ejpam-6042	589	34	technique	technique	NOUN
ejpam-6042	589	35	.	.	PUNCT
ejpam-6042	590	1	by	by	ADP
ejpam-6042	590	2	comparing	compare	VERB
ejpam-6042	590	3	the	the	DET
ejpam-6042	590	4	global	global	ADJ
ejpam-6042	590	5	truncation	truncation	NOUN
ejpam-6042	590	6	errors	error	NOUN
ejpam-6042	590	7	over	over	ADP
ejpam-6042	590	8	time	time	NOUN
ejpam-6042	590	9	,	,	PUNCT
ejpam-6042	590	10	the	the	DET
ejpam-6042	590	11	superiority	superiority	NOUN
ejpam-6042	590	12	of	of	ADP
ejpam-6042	590	13	the	the	DET
ejpam-6042	590	14	tfetdrkn(5	tfetdrkn(5	NOUN
ejpam-6042	590	15	)	)	PUNCT
ejpam-6042	590	16	becomes	become	VERB
ejpam-6042	590	17	evident	evident	ADJ
ejpam-6042	590	18	.	.	PUNCT
ejpam-6042	591	1	moreover	moreover	ADV
ejpam-6042	591	2	,	,	PUNCT
ejpam-6042	591	3	the	the	DET
ejpam-6042	591	4	proposed	propose	VERB
ejpam-6042	591	5	method	method	NOUN
ejpam-6042	591	6	successfully	successfully	ADV
ejpam-6042	591	7	preserves	preserve	VERB
ejpam-6042	591	8	the	the	DET
ejpam-6042	591	9	energy	energy	NOUN
ejpam-6042	591	10	conservation	conservation	NOUN
ejpam-6042	591	11	property	property	NOUN
ejpam-6042	591	12	.	.	PUNCT
ejpam-6042	592	1	for	for	ADP
ejpam-6042	592	2	future	future	ADJ
ejpam-6042	592	3	research	research	NOUN
ejpam-6042	592	4	,	,	PUNCT
ejpam-6042	592	5	some	some	DET
ejpam-6042	592	6	new	new	ADJ
ejpam-6042	592	7	two	two	NUM
ejpam-6042	592	8	-	-	PUNCT
ejpam-6042	592	9	derivative	derivative	NOUN
ejpam-6042	592	10	runge	runge	NOUN
ejpam-6042	592	11	-	-	PUNCT
ejpam-6042	592	12	kutta	kutta	NOUN
ejpam-6042	592	13	-	-	PUNCT
ejpam-6042	592	14	type	type	NOUN
ejpam-6042	592	15	methods	method	NOUN
ejpam-6042	592	16	can	can	AUX
ejpam-6042	592	17	be	be	AUX
ejpam-6042	592	18	dez	dez	PROPN
ejpam-6042	592	19	.	.	PUNCT
ejpam-6042	593	1	sun	sun	PROPN
ejpam-6042	593	2	et	et	PROPN
ejpam-6042	593	3	al	al	PROPN
ejpam-6042	593	4	.	.	PUNCT
ejpam-6042	593	5	/	/	SYM
ejpam-6042	593	6	eur	eur	PROPN
ejpam-6042	593	7	.	.	PUNCT
ejpam-6042	594	1	j.	j.	PROPN
ejpam-6042	594	2	pure	pure	PROPN
ejpam-6042	594	3	appl	appl	PROPN
ejpam-6042	594	4	.	.	PROPN
ejpam-6042	594	5	math	math	PROPN
ejpam-6042	594	6	,	,	PUNCT
ejpam-6042	594	7	18	18	NUM
ejpam-6042	594	8	(	(	PUNCT
ejpam-6042	594	9	4	4	NUM
ejpam-6042	594	10	)	)	PUNCT
ejpam-6042	594	11	(	(	PUNCT
ejpam-6042	594	12	2025	2025	NUM
ejpam-6042	594	13	)	)	PUNCT
ejpam-6042	594	14	,	,	PUNCT
ejpam-6042	594	15	6042	6042	NUM
ejpam-6042	594	16	41	41	NUM
ejpam-6042	594	17	of	of	ADP
ejpam-6042	594	18	45	45	NUM
ejpam-6042	594	19	veloped	velope	VERB
ejpam-6042	594	20	specifically	specifically	ADV
ejpam-6042	594	21	for	for	ADP
ejpam-6042	594	22	solving	solve	VERB
ejpam-6042	594	23	third	third	ADJ
ejpam-6042	594	24	-	-	PUNCT
ejpam-6042	594	25	order	order	NOUN
ejpam-6042	594	26	odes	ode	NOUN
ejpam-6042	594	27	.	.	PUNCT
ejpam-6042	595	1	even	even	ADV
ejpam-6042	595	2	though	though	SCONJ
ejpam-6042	595	3	some	some	DET
ejpam-6042	595	4	third	third	ADJ
ejpam-6042	595	5	-	-	PUNCT
ejpam-6042	595	6	order	order	NOUN
ejpam-6042	595	7	odes	ode	NOUN
ejpam-6042	595	8	can	can	AUX
ejpam-6042	595	9	be	be	AUX
ejpam-6042	595	10	decomposed	decompose	VERB
ejpam-6042	595	11	into	into	ADP
ejpam-6042	595	12	first	first	ADJ
ejpam-6042	595	13	-	-	PUNCT
ejpam-6042	595	14	order	order	NOUN
ejpam-6042	595	15	or	or	CCONJ
ejpam-6042	595	16	second	second	ADJ
ejpam-6042	595	17	-	-	PUNCT
ejpam-6042	595	18	order	order	NOUN
ejpam-6042	595	19	odes	ode	NOUN
ejpam-6042	595	20	to	to	PART
ejpam-6042	595	21	be	be	AUX
ejpam-6042	595	22	solved	solve	VERB
ejpam-6042	595	23	using	use	VERB
ejpam-6042	595	24	the	the	DET
ejpam-6042	595	25	proposed	propose	VERB
ejpam-6042	595	26	method	method	NOUN
ejpam-6042	595	27	in	in	ADP
ejpam-6042	595	28	this	this	DET
ejpam-6042	595	29	paper	paper	NOUN
ejpam-6042	595	30	(	(	PUNCT
ejpam-6042	595	31	or	or	CCONJ
ejpam-6042	595	32	other	other	ADJ
ejpam-6042	595	33	articles	article	NOUN
ejpam-6042	595	34	)	)	PUNCT
ejpam-6042	595	35	,	,	PUNCT
ejpam-6042	595	36	this	this	PRON
ejpam-6042	595	37	will	will	AUX
ejpam-6042	595	38	increase	increase	VERB
ejpam-6042	595	39	computational	computational	ADJ
ejpam-6042	595	40	complexity	complexity	NOUN
ejpam-6042	595	41	and	and	CCONJ
ejpam-6042	595	42	make	make	VERB
ejpam-6042	595	43	the	the	DET
ejpam-6042	595	44	process	process	NOUN
ejpam-6042	595	45	more	more	ADV
ejpam-6042	595	46	cumbersome	cumbersome	ADJ
ejpam-6042	595	47	.	.	PUNCT
ejpam-6042	596	1	meanwhile	meanwhile	ADV
ejpam-6042	596	2	,	,	PUNCT
ejpam-6042	596	3	no	no	DET
ejpam-6042	596	4	one	one	NOUN
ejpam-6042	596	5	has	have	AUX
ejpam-6042	596	6	studied	study	VERB
ejpam-6042	596	7	the	the	DET
ejpam-6042	596	8	two	two	NUM
ejpam-6042	596	9	-	-	PUNCT
ejpam-6042	596	10	derivative	derivative	NOUN
ejpam-6042	596	11	runge	runge	NOUN
ejpam-6042	596	12	-	-	PUNCT
ejpam-6042	596	13	kutta	kutta	NOUN
ejpam-6042	596	14	-	-	PUNCT
ejpam-6042	596	15	nyström	nyström	NOUN
ejpam-6042	596	16	methods	method	NOUN
ejpam-6042	596	17	for	for	ADP
ejpam-6042	596	18	solving	solve	VERB
ejpam-6042	596	19	third	third	ADJ
ejpam-6042	596	20	-	-	PUNCT
ejpam-6042	596	21	order	order	NOUN
ejpam-6042	596	22	odes	ode	NOUN
ejpam-6042	596	23	.	.	PUNCT
ejpam-6042	597	1	so	so	ADV
ejpam-6042	597	2	in	in	ADP
ejpam-6042	597	3	the	the	DET
ejpam-6042	597	4	future	future	NOUN
ejpam-6042	597	5	,	,	PUNCT
ejpam-6042	597	6	we	we	PRON
ejpam-6042	597	7	can	can	AUX
ejpam-6042	597	8	focus	focus	VERB
ejpam-6042	597	9	on	on	ADP
ejpam-6042	597	10	developing	develop	VERB
ejpam-6042	597	11	the	the	DET
ejpam-6042	597	12	two	two	NUM
ejpam-6042	597	13	-	-	PUNCT
ejpam-6042	597	14	derivative	derivative	NOUN
ejpam-6042	597	15	runge	runge	NOUN
ejpam-6042	597	16	-	-	PUNCT
ejpam-6042	597	17	kutta	kutta	NOUN
ejpam-6042	597	18	-	-	PUNCT
ejpam-6042	597	19	nyström	nyström	NOUN
ejpam-6042	597	20	methods	method	NOUN
ejpam-6042	597	21	for	for	ADP
ejpam-6042	597	22	solving	solve	VERB
ejpam-6042	597	23	thirdorder	thirdorder	NOUN
ejpam-6042	597	24	odes	ode	VERB
ejpam-6042	597	25	with	with	ADP
ejpam-6042	597	26	periodic	periodic	ADJ
ejpam-6042	597	27	solutions	solution	NOUN
ejpam-6042	597	28	,	,	PUNCT
ejpam-6042	597	29	even	even	ADV
ejpam-6042	597	30	exponential	exponential	ADJ
ejpam-6042	597	31	solutions	solution	NOUN
ejpam-6042	597	32	based	base	VERB
ejpam-6042	597	33	on	on	ADP
ejpam-6042	597	34	our	our	PRON
ejpam-6042	597	35	study	study	NOUN
ejpam-6042	597	36	.	.	PUNCT
ejpam-6042	598	1	acknowledgements	acknowledgement	NOUN
ejpam-6042	598	2	this	this	DET
ejpam-6042	598	3	study	study	NOUN
ejpam-6042	598	4	is	be	AUX
ejpam-6042	598	5	supported	support	VERB
ejpam-6042	598	6	by	by	ADP
ejpam-6042	598	7	the	the	DET
ejpam-6042	598	8	grant	grant	NOUN
ejpam-6042	598	9	scheme	scheme	NOUN
ejpam-6042	598	10	(	(	PUNCT
ejpam-6042	598	11	ref	ref	NOUN
ejpam-6042	598	12	.	.	PUNCT
ejpam-6042	599	1	no	no	INTJ
ejpam-6042	599	2	.	.	PUNCT
ejpam-6042	600	1	ggpm-2023	ggpm-2023	NOUN
ejpam-6042	600	2	-	-	PUNCT
ejpam-6042	600	3	029	029	NUM
ejpam-6042	600	4	)	)	PUNCT
ejpam-6042	600	5	from	from	ADP
ejpam-6042	600	6	universiti	universiti	PROPN
ejpam-6042	600	7	kebangsaan	kebangsaan	PROPN
ejpam-6042	600	8	malaysia	malaysia	PROPN
ejpam-6042	600	9	.	.	PUNCT
ejpam-6042	601	1	declaration	declaration	NOUN
ejpam-6042	601	2	of	of	ADP
ejpam-6042	601	3	competing	compete	VERB
ejpam-6042	601	4	interest	interest	NOUN
ejpam-6042	601	5	the	the	DET
ejpam-6042	601	6	authors	author	NOUN
ejpam-6042	601	7	declare	declare	VERB
ejpam-6042	601	8	no	no	DET
ejpam-6042	601	9	conflict	conflict	NOUN
ejpam-6042	601	10	of	of	ADP
ejpam-6042	601	11	interest	interest	NOUN
ejpam-6042	601	12	.	.	PUNCT
ejpam-6042	602	1	references	reference	NOUN
ejpam-6042	602	2	[	[	X
ejpam-6042	602	3	1	1	NUM
ejpam-6042	602	4	]	]	PUNCT
ejpam-6042	602	5	r.	r.	PROPN
ejpam-6042	602	6	p.	p.	PROPN
ejpam-6042	602	7	agarwal	agarwal	PROPN
ejpam-6042	602	8	,	,	PUNCT
ejpam-6042	602	9	s.	s.	PROPN
ejpam-6042	602	10	r.	r.	PROPN
ejpam-6042	602	11	grace	grace	PROPN
ejpam-6042	602	12	,	,	PUNCT
ejpam-6042	602	13	and	and	CCONJ
ejpam-6042	602	14	d.	d.	PROPN
ejpam-6042	602	15	o’regan	o’regan	PROPN
ejpam-6042	602	16	.	.	PUNCT
ejpam-6042	603	1	oscillation	oscillation	NOUN
ejpam-6042	603	2	theory	theory	NOUN
ejpam-6042	603	3	for	for	ADP
ejpam-6042	603	4	second	second	ADJ
ejpam-6042	603	5	order	order	NOUN
ejpam-6042	603	6	dynamic	dynamic	ADJ
ejpam-6042	603	7	equations	equation	NOUN
ejpam-6042	603	8	.	.	PUNCT
ejpam-6042	604	1	crc	crc	PROPN
ejpam-6042	604	2	press	press	PROPN
ejpam-6042	604	3	,	,	PUNCT
ejpam-6042	604	4	2002	2002	NUM
ejpam-6042	604	5	.	.	PUNCT
ejpam-6042	605	1	[	[	X
ejpam-6042	605	2	2	2	NUM
ejpam-6042	605	3	]	]	PUNCT
ejpam-6042	605	4	m.	m.	NOUN
ejpam-6042	605	5	condon	condon	PROPN
ejpam-6042	605	6	,	,	PUNCT
ejpam-6042	605	7	a.	a.	PROPN
ejpam-6042	605	8	deaño	deaño	PROPN
ejpam-6042	605	9	,	,	PUNCT
ejpam-6042	605	10	and	and	CCONJ
ejpam-6042	605	11	a.	a.	NOUN
ejpam-6042	605	12	iserles	iserle	NOUN
ejpam-6042	605	13	.	.	PUNCT
ejpam-6042	606	1	on	on	ADP
ejpam-6042	606	2	highly	highly	ADV
ejpam-6042	606	3	oscillatory	oscillatory	ADJ
ejpam-6042	606	4	problems	problem	NOUN
ejpam-6042	606	5	arising	arise	VERB
ejpam-6042	606	6	in	in	ADP
ejpam-6042	606	7	electronic	electronic	ADJ
ejpam-6042	606	8	engineering	engineering	NOUN
ejpam-6042	606	9	.	.	PUNCT
ejpam-6042	607	1	esaim	esaim	NOUN
ejpam-6042	607	2	:	:	PUNCT
ejpam-6042	607	3	mathematical	mathematical	ADJ
ejpam-6042	607	4	modelling	modelling	NOUN
ejpam-6042	607	5	and	and	CCONJ
ejpam-6042	607	6	numerical	numerical	ADJ
ejpam-6042	607	7	analysis	analysis	NOUN
ejpam-6042	607	8	,	,	PUNCT
ejpam-6042	607	9	43(4):785–804	43(4):785–804	PROPN
ejpam-6042	607	10	,	,	PUNCT
ejpam-6042	607	11	2009	2009	NUM
ejpam-6042	607	12	.	.	PUNCT
ejpam-6042	608	1	[	[	X
ejpam-6042	608	2	3	3	X
ejpam-6042	608	3	]	]	X
ejpam-6042	608	4	r.	r.	PROPN
ejpam-6042	608	5	ciii	ciii	PROPN
ejpam-6042	608	6	.	.	PUNCT
ejpam-6042	609	1	about	about	ADP
ejpam-6042	609	2	the	the	DET
ejpam-6042	609	3	numerical	numerical	ADJ
ejpam-6042	609	4	solution	solution	NOUN
ejpam-6042	609	5	of	of	ADP
ejpam-6042	609	6	differential	differential	ADJ
ejpam-6042	609	7	equations	equation	NOUN
ejpam-6042	609	8	.	.	PUNCT
ejpam-6042	610	1	mathematical	mathematical	ADJ
ejpam-6042	610	2	annals	annal	NOUN
ejpam-6042	610	3	,	,	PUNCT
ejpam-6042	610	4	46(2):167–178	46(2):167–178	PROPN
ejpam-6042	610	5	,	,	PUNCT
ejpam-6042	610	6	1895	1895	NUM
ejpam-6042	610	7	.	.	PUNCT
ejpam-6042	611	1	[	[	X
ejpam-6042	611	2	4	4	X
ejpam-6042	611	3	]	]	PUNCT
ejpam-6042	611	4	k.	k.	PROPN
ejpam-6042	611	5	wiii	wiii	PROPN
ejpam-6042	611	6	.	.	PUNCT
ejpam-6042	612	1	contribution	contribution	NOUN
ejpam-6042	612	2	to	to	ADP
ejpam-6042	612	3	the	the	DET
ejpam-6042	612	4	approximate	approximate	ADJ
ejpam-6042	612	5	integration	integration	NOUN
ejpam-6042	612	6	of	of	ADP
ejpam-6042	612	7	total	total	ADJ
ejpam-6042	612	8	differential	differential	ADJ
ejpam-6042	612	9	equations	equation	NOUN
ejpam-6042	612	10	.	.	PUNCT
ejpam-6042	613	1	mathematical	mathematical	ADJ
ejpam-6042	613	2	annals	annal	NOUN
ejpam-6042	613	3	,	,	PUNCT
ejpam-6042	613	4	45(1):435–453	45(1):435–453	NOUN
ejpam-6042	613	5	,	,	PUNCT
ejpam-6042	613	6	1901	1901	NUM
ejpam-6042	613	7	.	.	PUNCT
ejpam-6042	614	1	[	[	X
ejpam-6042	614	2	5	5	X
ejpam-6042	614	3	]	]	PUNCT
ejpam-6042	614	4	e.	e.	PROPN
ejpam-6042	614	5	j.	j.	PROPN
ejpam-6042	614	6	nyström	nyström	PROPN
ejpam-6042	614	7	.	.	PUNCT
ejpam-6042	615	1	about	about	ADP
ejpam-6042	615	2	the	the	DET
ejpam-6042	615	3	numerical	numerical	ADJ
ejpam-6042	615	4	integration	integration	NOUN
ejpam-6042	615	5	of	of	ADP
ejpam-6042	615	6	differential	differential	ADJ
ejpam-6042	615	7	equations	equation	NOUN
ejpam-6042	615	8	.	.	PUNCT
ejpam-6042	616	1	fennic	fennic	ADJ
ejpam-6042	616	2	society	society	NOUN
ejpam-6042	616	3	of	of	ADP
ejpam-6042	616	4	sciences	science	NOUN
ejpam-6042	616	5	,	,	PUNCT
ejpam-6042	616	6	50(13):1–55	50(13):1–55	NUM
ejpam-6042	616	7	,	,	PUNCT
ejpam-6042	616	8	1925	1925	NUM
ejpam-6042	616	9	.	.	PUNCT
ejpam-6042	617	1	[	[	X
ejpam-6042	617	2	6	6	NUM
ejpam-6042	617	3	]	]	PUNCT
ejpam-6042	617	4	b.	b.	PROPN
ejpam-6042	617	5	paternoster	paternoster	PROPN
ejpam-6042	617	6	.	.	PUNCT
ejpam-6042	617	7	runge	runge	NOUN
ejpam-6042	617	8	-	-	PUNCT
ejpam-6042	617	9	kutta	kutta	PROPN
ejpam-6042	617	10	-	-	PUNCT
ejpam-6042	617	11	nyström	nyström	NOUN
ejpam-6042	617	12	methods	method	NOUN
ejpam-6042	617	13	for	for	ADP
ejpam-6042	617	14	odes	ode	NOUN
ejpam-6042	617	15	with	with	ADP
ejpam-6042	617	16	periodic	periodic	ADJ
ejpam-6042	617	17	solutions	solution	NOUN
ejpam-6042	617	18	based	base	VERB
ejpam-6042	617	19	on	on	ADP
ejpam-6042	617	20	trigonometric	trigonometric	ADJ
ejpam-6042	617	21	polynomials	polynomial	NOUN
ejpam-6042	617	22	.	.	PUNCT
ejpam-6042	618	1	applied	apply	VERB
ejpam-6042	618	2	numerical	numerical	ADJ
ejpam-6042	618	3	mathematics	mathematic	NOUN
ejpam-6042	618	4	,	,	PUNCT
ejpam-6042	618	5	28(2	28(2	PROPN
ejpam-6042	618	6	-	-	SYM
ejpam-6042	618	7	4):401	4):401	NUM
ejpam-6042	618	8	–	–	PUNCT
ejpam-6042	618	9	412	412	NUM
ejpam-6042	618	10	,	,	PUNCT
ejpam-6042	618	11	1998	1998	NUM
ejpam-6042	618	12	.	.	PUNCT
ejpam-6042	619	1	[	[	X
ejpam-6042	619	2	7	7	X
ejpam-6042	619	3	]	]	X
ejpam-6042	619	4	p.	p.	NOUN
ejpam-6042	619	5	albrecht	albrecht	PROPN
ejpam-6042	619	6	.	.	PUNCT
ejpam-6042	620	1	the	the	DET
ejpam-6042	620	2	extension	extension	NOUN
ejpam-6042	620	3	of	of	ADP
ejpam-6042	620	4	the	the	DET
ejpam-6042	620	5	theory	theory	NOUN
ejpam-6042	620	6	of	of	ADP
ejpam-6042	620	7	a	a	DET
ejpam-6042	620	8	-	-	PUNCT
ejpam-6042	620	9	methods	method	NOUN
ejpam-6042	620	10	to	to	PART
ejpam-6042	620	11	rk	rk	VERB
ejpam-6042	620	12	methods	method	NOUN
ejpam-6042	620	13	.	.	PUNCT
ejpam-6042	621	1	in	in	ADP
ejpam-6042	621	2	numerical	numerical	ADJ
ejpam-6042	621	3	treatment	treatment	NOUN
ejpam-6042	621	4	of	of	ADP
ejpam-6042	621	5	differential	differential	ADJ
ejpam-6042	621	6	equations	equation	NOUN
ejpam-6042	621	7	,	,	PUNCT
ejpam-6042	621	8	proceedings	proceeding	NOUN
ejpam-6042	621	9	4th	4th	ADJ
ejpam-6042	621	10	seminar	seminar	NOUN
ejpam-6042	621	11	numdiff	numdiff	NOUN
ejpam-6042	621	12	,	,	PUNCT
ejpam-6042	621	13	volume	volume	NOUN
ejpam-6042	621	14	4	4	NUM
ejpam-6042	621	15	,	,	PUNCT
ejpam-6042	621	16	pages	page	NOUN
ejpam-6042	621	17	9–18	9–18	NUM
ejpam-6042	621	18	,	,	PUNCT
ejpam-6042	621	19	1987	1987	NUM
ejpam-6042	621	20	.	.	PUNCT
ejpam-6042	622	1	[	[	X
ejpam-6042	622	2	8	8	X
ejpam-6042	622	3	]	]	X
ejpam-6042	622	4	j.	j.	PROPN
ejpam-6042	622	5	m.	m.	PROPN
ejpam-6042	622	6	franco	franco	PROPN
ejpam-6042	622	7	.	.	PUNCT
ejpam-6042	622	8	runge	runge	PROPN
ejpam-6042	622	9	-	-	PUNCT
ejpam-6042	622	10	kutta	kutta	PROPN
ejpam-6042	622	11	-	-	PUNCT
ejpam-6042	622	12	nyström	nyström	NOUN
ejpam-6042	622	13	methods	method	NOUN
ejpam-6042	622	14	adapted	adapt	VERB
ejpam-6042	622	15	to	to	ADP
ejpam-6042	622	16	the	the	DET
ejpam-6042	622	17	numerical	numerical	ADJ
ejpam-6042	622	18	integration	integration	NOUN
ejpam-6042	622	19	of	of	ADP
ejpam-6042	622	20	perturbed	perturb	VERB
ejpam-6042	622	21	oscillators	oscillator	NOUN
ejpam-6042	622	22	.	.	PUNCT
ejpam-6042	623	1	computer	computer	NOUN
ejpam-6042	623	2	physics	physics	NOUN
ejpam-6042	623	3	communications	communication	NOUN
ejpam-6042	623	4	,	,	PUNCT
ejpam-6042	623	5	147(3):770–787	147(3):770–787	NUM
ejpam-6042	623	6	,	,	PUNCT
ejpam-6042	623	7	2002	2002	NUM
ejpam-6042	623	8	.	.	PUNCT
ejpam-6042	624	1	[	[	X
ejpam-6042	624	2	9	9	X
ejpam-6042	624	3	]	]	PUNCT
ejpam-6042	624	4	j.	j.	PROPN
ejpam-6042	624	5	li	li	PROPN
ejpam-6042	624	6	.	.	PROPN
ejpam-6042	624	7	trigonometrically	trigonometrically	ADV
ejpam-6042	624	8	fitted	fit	VERB
ejpam-6042	624	9	three	three	NUM
ejpam-6042	624	10	-	-	PUNCT
ejpam-6042	624	11	derivative	derivative	ADJ
ejpam-6042	624	12	runge	runge	NOUN
ejpam-6042	624	13	–	–	PUNCT
ejpam-6042	624	14	kutta	kutta	NOUN
ejpam-6042	624	15	methods	method	NOUN
ejpam-6042	624	16	for	for	ADP
ejpam-6042	624	17	solving	solve	VERB
ejpam-6042	624	18	oscillatory	oscillatory	ADJ
ejpam-6042	624	19	initial	initial	ADJ
ejpam-6042	624	20	value	value	NOUN
ejpam-6042	624	21	problems	problem	NOUN
ejpam-6042	624	22	.	.	PUNCT
ejpam-6042	625	1	applied	apply	VERB
ejpam-6042	625	2	mathematics	mathematic	NOUN
ejpam-6042	625	3	and	and	CCONJ
ejpam-6042	625	4	computation	computation	NOUN
ejpam-6042	625	5	,	,	PUNCT
ejpam-6042	625	6	330:103–117	330:103–117	NUM
ejpam-6042	625	7	,	,	PUNCT
ejpam-6042	625	8	2018	2018	NUM
ejpam-6042	625	9	.	.	PUNCT
ejpam-6042	626	1	[	[	X
ejpam-6042	626	2	10	10	NUM
ejpam-6042	626	3	]	]	X
ejpam-6042	626	4	j.	j.	PROPN
ejpam-6042	626	5	li	li	PROPN
ejpam-6042	626	6	,	,	PUNCT
ejpam-6042	626	7	s.	s.	PROPN
ejpam-6042	626	8	deng	deng	PROPN
ejpam-6042	626	9	,	,	PUNCT
ejpam-6042	626	10	and	and	CCONJ
ejpam-6042	626	11	x.	x.	PROPN
ejpam-6042	626	12	wang	wang	PROPN
ejpam-6042	626	13	.	.	PROPN
ejpam-6042	627	1	extended	extend	VERB
ejpam-6042	627	2	explicit	explicit	ADJ
ejpam-6042	627	3	pseudo	pseudo	NOUN
ejpam-6042	627	4	two	two	NUM
ejpam-6042	627	5	-	-	PUNCT
ejpam-6042	627	6	step	step	NOUN
ejpam-6042	627	7	rkn	rkn	NOUN
ejpam-6042	627	8	methods	method	NOUN
ejpam-6042	627	9	for	for	ADP
ejpam-6042	627	10	oscillatory	oscillatory	ADJ
ejpam-6042	627	11	systems	system	NOUN
ejpam-6042	627	12	y′′	y′′	NOUN
ejpam-6042	628	1	+	+	PROPN
ejpam-6042	628	2	my	my	PRON
ejpam-6042	628	3	=	=	ADJ
ejpam-6042	628	4	f(y	f(y	NOUN
ejpam-6042	628	5	)	)	PUNCT
ejpam-6042	628	6	.	.	PUNCT
ejpam-6042	629	1	numerical	numerical	ADJ
ejpam-6042	629	2	algorithms	algorithms	PROPN
ejpam-6042	629	3	,	,	PUNCT
ejpam-6042	629	4	78:673–700	78:673–700	NUM
ejpam-6042	629	5	,	,	PUNCT
ejpam-6042	629	6	2018	2018	NUM
ejpam-6042	629	7	.	.	PUNCT
ejpam-6042	630	1	z.	z.	PROPN
ejpam-6042	630	2	sun	sun	PROPN
ejpam-6042	630	3	et	et	PROPN
ejpam-6042	630	4	al	al	PROPN
ejpam-6042	630	5	.	.	PUNCT
ejpam-6042	630	6	/	/	SYM
ejpam-6042	630	7	eur	eur	PROPN
ejpam-6042	630	8	.	.	PUNCT
ejpam-6042	631	1	j.	j.	PROPN
ejpam-6042	631	2	pure	pure	PROPN
ejpam-6042	631	3	appl	appl	PROPN
ejpam-6042	631	4	.	.	PROPN
ejpam-6042	631	5	math	math	PROPN
ejpam-6042	631	6	,	,	PUNCT
ejpam-6042	631	7	18	18	NUM
ejpam-6042	631	8	(	(	PUNCT
ejpam-6042	631	9	4	4	NUM
ejpam-6042	631	10	)	)	PUNCT
ejpam-6042	631	11	(	(	PUNCT
ejpam-6042	631	12	2025	2025	NUM
ejpam-6042	631	13	)	)	PUNCT
ejpam-6042	631	14	,	,	PUNCT
ejpam-6042	631	15	6042	6042	NUM
ejpam-6042	631	16	42	42	NUM
ejpam-6042	631	17	of	of	ADP
ejpam-6042	631	18	45	45	NUM
ejpam-6042	631	19	[	[	SYM
ejpam-6042	631	20	11	11	NUM
ejpam-6042	631	21	]	]	PUNCT
ejpam-6042	631	22	m.	m.	NOUN
ejpam-6042	631	23	a.	a.	NOUN
ejpam-6042	631	24	demba	demba	PROPN
ejpam-6042	631	25	,	,	PUNCT
ejpam-6042	631	26	n.	n.	PROPN
ejpam-6042	631	27	senu	senu	PROPN
ejpam-6042	631	28	,	,	PUNCT
ejpam-6042	631	29	and	and	CCONJ
ejpam-6042	631	30	f.	f.	PROPN
ejpam-6042	631	31	ismail	ismail	PROPN
ejpam-6042	631	32	.	.	PUNCT
ejpam-6042	632	1	trigonometrically	trigonometrically	ADV
ejpam-6042	632	2	-	-	PUNCT
ejpam-6042	632	3	fitted	fit	VERB
ejpam-6042	632	4	explicit	explicit	ADJ
ejpam-6042	632	5	four	four	NUM
ejpam-6042	632	6	-	-	PUNCT
ejpam-6042	632	7	stage	stage	NOUN
ejpam-6042	632	8	fourth	fourth	ADJ
ejpam-6042	632	9	-	-	PUNCT
ejpam-6042	632	10	order	order	NOUN
ejpam-6042	632	11	runge	runge	NOUN
ejpam-6042	632	12	-	-	PUNCT
ejpam-6042	632	13	kutta	kutta	NOUN
ejpam-6042	632	14	-	-	PUNCT
ejpam-6042	632	15	nyström	nyström	NOUN
ejpam-6042	632	16	method	method	NOUN
ejpam-6042	632	17	for	for	ADP
ejpam-6042	632	18	the	the	DET
ejpam-6042	632	19	solution	solution	NOUN
ejpam-6042	632	20	of	of	ADP
ejpam-6042	632	21	initial	initial	ADJ
ejpam-6042	632	22	value	value	NOUN
ejpam-6042	632	23	problems	problem	NOUN
ejpam-6042	632	24	with	with	ADP
ejpam-6042	632	25	oscillatory	oscillatory	ADJ
ejpam-6042	632	26	behavior	behavior	NOUN
ejpam-6042	632	27	.	.	PUNCT
ejpam-6042	633	1	global	global	ADJ
ejpam-6042	633	2	journal	journal	PROPN
ejpam-6042	633	3	of	of	ADP
ejpam-6042	633	4	pure	pure	ADJ
ejpam-6042	633	5	and	and	CCONJ
ejpam-6042	633	6	applied	applied	ADJ
ejpam-6042	633	7	mathematics	mathematic	NOUN
ejpam-6042	633	8	,	,	PUNCT
ejpam-6042	633	9	12(1):67	12(1):67	NUM
ejpam-6042	633	10	–	–	PUNCT
ejpam-6042	633	11	80	80	NUM
ejpam-6042	633	12	,	,	PUNCT
ejpam-6042	633	13	2016	2016	NUM
ejpam-6042	633	14	.	.	PUNCT
ejpam-6042	634	1	[	[	X
ejpam-6042	634	2	12	12	NUM
ejpam-6042	634	3	]	]	PUNCT
ejpam-6042	634	4	m.	m.	NOUN
ejpam-6042	634	5	a.	a.	NOUN
ejpam-6042	634	6	demba	demba	PROPN
ejpam-6042	634	7	,	,	PUNCT
ejpam-6042	634	8	n.	n.	PROPN
ejpam-6042	634	9	senu	senu	PROPN
ejpam-6042	634	10	,	,	PUNCT
ejpam-6042	634	11	and	and	CCONJ
ejpam-6042	634	12	f.	f.	PROPN
ejpam-6042	634	13	ismail	ismail	PROPN
ejpam-6042	634	14	.	.	PUNCT
ejpam-6042	635	1	an	an	DET
ejpam-6042	635	2	embedded	embed	VERB
ejpam-6042	635	3	4	4	NUM
ejpam-6042	635	4	(	(	PUNCT
ejpam-6042	635	5	3	3	NUM
ejpam-6042	635	6	)	)	PUNCT
ejpam-6042	635	7	pair	pair	NOUN
ejpam-6042	635	8	of	of	ADP
ejpam-6042	635	9	explicit	explicit	ADJ
ejpam-6042	635	10	trigonometrically	trigonometrically	ADV
ejpam-6042	635	11	-	-	PUNCT
ejpam-6042	635	12	fitted	fit	VERB
ejpam-6042	635	13	runge	runge	NOUN
ejpam-6042	635	14	-	-	PUNCT
ejpam-6042	635	15	kutta	kutta	NOUN
ejpam-6042	635	16	-	-	PUNCT
ejpam-6042	635	17	nyström	nyström	NOUN
ejpam-6042	635	18	method	method	NOUN
ejpam-6042	635	19	for	for	ADP
ejpam-6042	635	20	solving	solve	VERB
ejpam-6042	635	21	periodic	periodic	ADJ
ejpam-6042	635	22	initial	initial	ADJ
ejpam-6042	635	23	value	value	NOUN
ejpam-6042	635	24	problems	problem	NOUN
ejpam-6042	635	25	.	.	PUNCT
ejpam-6042	636	1	appl	appl	PROPN
ejpam-6042	636	2	.	.	PROPN
ejpam-6042	636	3	math	math	PROPN
ejpam-6042	636	4	.	.	PUNCT
ejpam-6042	637	1	sci	sci	PROPN
ejpam-6042	637	2	,	,	PUNCT
ejpam-6042	637	3	11:819–838	11:819–838	PROPN
ejpam-6042	637	4	,	,	PUNCT
ejpam-6042	637	5	2017	2017	NUM
ejpam-6042	637	6	.	.	PUNCT
ejpam-6042	638	1	[	[	X
ejpam-6042	638	2	13	13	NUM
ejpam-6042	638	3	]	]	PUNCT
ejpam-6042	638	4	m.	m.	NOUN
ejpam-6042	638	5	a.	a.	NOUN
ejpam-6042	638	6	demba	demba	PROPN
ejpam-6042	638	7	,	,	PUNCT
ejpam-6042	638	8	h.	h.	PROPN
ejpam-6042	638	9	ramos	ramos	PROPN
ejpam-6042	638	10	,	,	PUNCT
ejpam-6042	638	11	p.	p.	PROPN
ejpam-6042	638	12	kumam	kumam	PROPN
ejpam-6042	638	13	,	,	PUNCT
ejpam-6042	638	14	and	and	CCONJ
ejpam-6042	638	15	w.	w.	PROPN
ejpam-6042	638	16	watthayu	watthayu	PROPN
ejpam-6042	638	17	.	.	PUNCT
ejpam-6042	639	1	a	a	DET
ejpam-6042	639	2	phase	phase	NOUN
ejpam-6042	639	3	-	-	PUNCT
ejpam-6042	639	4	fitted	fit	VERB
ejpam-6042	639	5	and	and	CCONJ
ejpam-6042	639	6	amplification	amplification	NOUN
ejpam-6042	639	7	-	-	PUNCT
ejpam-6042	639	8	fitted	fit	VERB
ejpam-6042	639	9	explicit	explicit	ADJ
ejpam-6042	639	10	runge	runge	NOUN
ejpam-6042	639	11	-	-	PUNCT
ejpam-6042	639	12	kutta	kutta	NOUN
ejpam-6042	639	13	-	-	PUNCT
ejpam-6042	639	14	nyström	nyström	NOUN
ejpam-6042	639	15	pair	pair	NOUN
ejpam-6042	639	16	for	for	ADP
ejpam-6042	639	17	oscillating	oscillate	VERB
ejpam-6042	639	18	systems	system	NOUN
ejpam-6042	639	19	.	.	PUNCT
ejpam-6042	640	1	mathematical	mathematical	ADJ
ejpam-6042	640	2	and	and	CCONJ
ejpam-6042	640	3	computational	computational	ADJ
ejpam-6042	640	4	applications	application	NOUN
ejpam-6042	640	5	,	,	PUNCT
ejpam-6042	640	6	26(3):59	26(3):59	NUM
ejpam-6042	640	7	,	,	PUNCT
ejpam-6042	640	8	2021	2021	NUM
ejpam-6042	640	9	.	.	PUNCT
ejpam-6042	641	1	[	[	X
ejpam-6042	641	2	14	14	NUM
ejpam-6042	641	3	]	]	PUNCT
ejpam-6042	641	4	m.	m.	NOUN
ejpam-6042	641	5	a.	a.	NOUN
ejpam-6042	641	6	demba	demba	PROPN
ejpam-6042	641	7	,	,	PUNCT
ejpam-6042	641	8	n.	n.	PROPN
ejpam-6042	641	9	senu	senu	PROPN
ejpam-6042	641	10	,	,	PUNCT
ejpam-6042	641	11	h.	h.	PROPN
ejpam-6042	641	12	ramos	ramos	PROPN
ejpam-6042	641	13	,	,	PUNCT
ejpam-6042	641	14	p.	p.	PROPN
ejpam-6042	641	15	kumam	kumam	PROPN
ejpam-6042	641	16	,	,	PUNCT
ejpam-6042	641	17	and	and	CCONJ
ejpam-6042	641	18	w.	w.	PROPN
ejpam-6042	641	19	watthayu	watthayu	PROPN
ejpam-6042	641	20	.	.	PUNCT
ejpam-6042	642	1	a	a	DET
ejpam-6042	642	2	phase	phase	NOUN
ejpam-6042	642	3	-	-	PUNCT
ejpam-6042	642	4	and	and	CCONJ
ejpam-6042	642	5	amplification	amplification	NOUN
ejpam-6042	642	6	-	-	PUNCT
ejpam-6042	642	7	fitted	fit	VERB
ejpam-6042	642	8	5	5	NUM
ejpam-6042	642	9	(	(	PUNCT
ejpam-6042	642	10	4	4	NUM
ejpam-6042	642	11	)	)	PUNCT
ejpam-6042	642	12	diagonally	diagonally	ADV
ejpam-6042	642	13	implicit	implicit	ADJ
ejpam-6042	642	14	runge	runge	NOUN
ejpam-6042	642	15	-	-	PUNCT
ejpam-6042	642	16	kutta	kutta	NOUN
ejpam-6042	642	17	-	-	PUNCT
ejpam-6042	642	18	nyström	nyström	NOUN
ejpam-6042	642	19	pair	pair	NOUN
ejpam-6042	642	20	for	for	ADP
ejpam-6042	642	21	oscillatory	oscillatory	ADJ
ejpam-6042	642	22	systems	system	NOUN
ejpam-6042	642	23	.	.	PUNCT
ejpam-6042	643	1	bulletin	bulletin	NOUN
ejpam-6042	643	2	of	of	ADP
ejpam-6042	643	3	the	the	DET
ejpam-6042	643	4	iranian	iranian	PROPN
ejpam-6042	643	5	mathematical	mathematical	PROPN
ejpam-6042	643	6	society	society	NOUN
ejpam-6042	643	7	,	,	PUNCT
ejpam-6042	643	8	49(3):24	49(3):24	NUM
ejpam-6042	643	9	,	,	PUNCT
ejpam-6042	643	10	2023	2023	NUM
ejpam-6042	643	11	.	.	PUNCT
ejpam-6042	644	1	[	[	X
ejpam-6042	644	2	15	15	NUM
ejpam-6042	644	3	]	]	PUNCT
ejpam-6042	644	4	z.	z.	PROPN
ejpam-6042	644	5	chen	chen	PROPN
ejpam-6042	644	6	,	,	PUNCT
ejpam-6042	644	7	z.	z.	PROPN
ejpam-6042	644	8	qiu	qiu	PROPN
ejpam-6042	644	9	,	,	PUNCT
ejpam-6042	644	10	j.	j.	PROPN
ejpam-6042	644	11	li	li	PROPN
ejpam-6042	644	12	,	,	PUNCT
ejpam-6042	644	13	and	and	CCONJ
ejpam-6042	644	14	x.	x.	VERB
ejpam-6042	644	15	you	you	PRON
ejpam-6042	644	16	.	.	PUNCT
ejpam-6042	645	1	two	two	NUM
ejpam-6042	645	2	-	-	PUNCT
ejpam-6042	645	3	derivative	derivative	NOUN
ejpam-6042	645	4	runge	runge	NOUN
ejpam-6042	645	5	-	-	PUNCT
ejpam-6042	645	6	kutta	kutta	NOUN
ejpam-6042	645	7	-	-	PUNCT
ejpam-6042	645	8	nyström	nyström	NOUN
ejpam-6042	645	9	methods	method	NOUN
ejpam-6042	645	10	for	for	ADP
ejpam-6042	645	11	second	second	ADJ
ejpam-6042	645	12	-	-	PUNCT
ejpam-6042	645	13	order	order	NOUN
ejpam-6042	645	14	ordinary	ordinary	ADJ
ejpam-6042	645	15	differential	differential	ADJ
ejpam-6042	645	16	equations	equation	NOUN
ejpam-6042	645	17	.	.	PUNCT
ejpam-6042	646	1	numerical	numerical	ADJ
ejpam-6042	646	2	algorithms	algorithms	PROPN
ejpam-6042	646	3	,	,	PUNCT
ejpam-6042	646	4	70:897–927	70:897–927	NUM
ejpam-6042	646	5	,	,	PUNCT
ejpam-6042	646	6	2015	2015	NUM
ejpam-6042	646	7	.	.	PUNCT
ejpam-6042	647	1	[	[	X
ejpam-6042	647	2	16	16	NUM
ejpam-6042	647	3	]	]	PUNCT
ejpam-6042	647	4	s.	s.	PROPN
ejpam-6042	647	5	n.	n.	PROPN
ejpam-6042	647	6	jator	jator	PROPN
ejpam-6042	647	7	.	.	PUNCT
ejpam-6042	648	1	implicit	implicit	ADJ
ejpam-6042	648	2	third	third	ADJ
ejpam-6042	648	3	derivative	derivative	ADJ
ejpam-6042	648	4	runge	runge	NOUN
ejpam-6042	648	5	-	-	PUNCT
ejpam-6042	648	6	kutta	kutta	NOUN
ejpam-6042	648	7	-	-	PUNCT
ejpam-6042	648	8	nyström	nyström	NOUN
ejpam-6042	648	9	method	method	NOUN
ejpam-6042	648	10	with	with	ADP
ejpam-6042	648	11	trigonometric	trigonometric	ADJ
ejpam-6042	648	12	coefficients	coefficient	NOUN
ejpam-6042	648	13	.	.	PUNCT
ejpam-6042	649	1	numerical	numerical	ADJ
ejpam-6042	649	2	algorithms	algorithms	PROPN
ejpam-6042	649	3	,	,	PUNCT
ejpam-6042	649	4	70:133–150	70:133–150	PROPN
ejpam-6042	649	5	,	,	PUNCT
ejpam-6042	649	6	2015	2015	NUM
ejpam-6042	649	7	.	.	PUNCT
ejpam-6042	650	1	[	[	X
ejpam-6042	650	2	17	17	NUM
ejpam-6042	650	3	]	]	PUNCT
ejpam-6042	650	4	z.	z.	PROPN
ejpam-6042	650	5	chen	chen	PROPN
ejpam-6042	650	6	,	,	PUNCT
ejpam-6042	650	7	l.	l.	PROPN
ejpam-6042	650	8	shi	shi	PROPN
ejpam-6042	650	9	,	,	PUNCT
ejpam-6042	650	10	s.	s.	PROPN
ejpam-6042	650	11	liu	liu	PROPN
ejpam-6042	650	12	,	,	PUNCT
ejpam-6042	650	13	and	and	CCONJ
ejpam-6042	650	14	x.	x.	VERB
ejpam-6042	650	15	you	you	PRON
ejpam-6042	650	16	.	.	PUNCT
ejpam-6042	651	1	trigonometrically	trigonometrically	ADV
ejpam-6042	651	2	fitted	fit	VERB
ejpam-6042	651	3	two	two	NUM
ejpam-6042	651	4	-	-	PUNCT
ejpam-6042	651	5	derivative	derivative	ADJ
ejpam-6042	651	6	rungekutta	rungekutta	NOUN
ejpam-6042	651	7	-	-	PUNCT
ejpam-6042	651	8	nyström	nyström	NOUN
ejpam-6042	651	9	methods	method	NOUN
ejpam-6042	651	10	for	for	ADP
ejpam-6042	651	11	second	second	ADJ
ejpam-6042	651	12	-	-	PUNCT
ejpam-6042	651	13	order	order	NOUN
ejpam-6042	651	14	oscillatory	oscillatory	ADJ
ejpam-6042	651	15	differential	differential	ADJ
ejpam-6042	651	16	equations	equation	NOUN
ejpam-6042	651	17	.	.	PUNCT
ejpam-6042	652	1	applied	apply	VERB
ejpam-6042	652	2	numerical	numerical	ADJ
ejpam-6042	652	3	mathematics	mathematic	NOUN
ejpam-6042	652	4	,	,	PUNCT
ejpam-6042	652	5	142:171–189	142:171–189	NUM
ejpam-6042	652	6	,	,	PUNCT
ejpam-6042	652	7	2019	2019	NUM
ejpam-6042	652	8	.	.	PUNCT
ejpam-6042	653	1	[	[	X
ejpam-6042	653	2	18	18	NUM
ejpam-6042	653	3	]	]	PUNCT
ejpam-6042	653	4	t.	t.	PROPN
ejpam-6042	653	5	s.	s.	PROPN
ejpam-6042	653	6	mohamed	mohamed	PROPN
ejpam-6042	653	7	,	,	PUNCT
ejpam-6042	653	8	n.	n.	PROPN
ejpam-6042	653	9	senu	senu	PROPN
ejpam-6042	653	10	,	,	PUNCT
ejpam-6042	653	11	z.	z.	PROPN
ejpam-6042	653	12	b.	b.	PROPN
ejpam-6042	653	13	ibrahim	ibrahim	PROPN
ejpam-6042	653	14	,	,	PUNCT
ejpam-6042	653	15	and	and	CCONJ
ejpam-6042	653	16	n.	n.	PROPN
ejpam-6042	653	17	m.	m.	PROPN
ejpam-6042	653	18	a.	a.	PROPN
ejpam-6042	653	19	nik	nik	PROPN
ejpam-6042	653	20	long	long	ADV
ejpam-6042	653	21	.	.	PUNCT
ejpam-6042	654	1	efficient	efficient	ADJ
ejpam-6042	654	2	twoderivative	twoderivative	ADJ
ejpam-6042	654	3	runge	runge	NOUN
ejpam-6042	654	4	-	-	PUNCT
ejpam-6042	654	5	kutta	kutta	NOUN
ejpam-6042	654	6	-	-	PUNCT
ejpam-6042	654	7	nyström	nyström	NOUN
ejpam-6042	654	8	methods	method	NOUN
ejpam-6042	654	9	for	for	ADP
ejpam-6042	654	10	solving	solve	VERB
ejpam-6042	654	11	general	general	ADJ
ejpam-6042	654	12	second	second	ADJ
ejpam-6042	654	13	-	-	PUNCT
ejpam-6042	654	14	order	order	NOUN
ejpam-6042	654	15	ordinary	ordinary	ADJ
ejpam-6042	654	16	differential	differential	ADJ
ejpam-6042	654	17	equations	equation	NOUN
ejpam-6042	654	18	.	.	PUNCT
ejpam-6042	655	1	discrete	discrete	ADJ
ejpam-6042	655	2	dynamics	dynamic	NOUN
ejpam-6042	655	3	in	in	ADP
ejpam-6042	655	4	nature	nature	NOUN
ejpam-6042	655	5	and	and	CCONJ
ejpam-6042	655	6	society	society	NOUN
ejpam-6042	655	7	,	,	PUNCT
ejpam-6042	655	8	2018	2018	NUM
ejpam-6042	655	9	,	,	PUNCT
ejpam-6042	655	10	2018	2018	NUM
ejpam-6042	655	11	.	.	PUNCT
ejpam-6042	656	1	[	[	X
ejpam-6042	656	2	19	19	NUM
ejpam-6042	656	3	]	]	X
ejpam-6042	656	4	j.	j.	PROPN
ejpam-6042	656	5	o.	o.	PROPN
ejpam-6042	656	6	ehigie	ehigie	PROPN
ejpam-6042	656	7	,	,	PUNCT
ejpam-6042	656	8	m.	m.	NOUN
ejpam-6042	656	9	zou	zou	PROPN
ejpam-6042	656	10	,	,	PUNCT
ejpam-6042	656	11	x.	x.	PROPN
ejpam-6042	656	12	hou	hou	PROPN
ejpam-6042	656	13	,	,	PUNCT
ejpam-6042	656	14	and	and	CCONJ
ejpam-6042	656	15	x.	x.	VERB
ejpam-6042	656	16	you	you	PRON
ejpam-6042	656	17	.	.	PUNCT
ejpam-6042	657	1	on	on	ADP
ejpam-6042	657	2	modified	modify	VERB
ejpam-6042	657	3	tdrkn	tdrkn	ADJ
ejpam-6042	657	4	methods	method	NOUN
ejpam-6042	657	5	for	for	ADP
ejpam-6042	657	6	second	second	ADJ
ejpam-6042	657	7	-	-	PUNCT
ejpam-6042	657	8	order	order	NOUN
ejpam-6042	657	9	systems	system	NOUN
ejpam-6042	657	10	of	of	ADP
ejpam-6042	657	11	differential	differential	ADJ
ejpam-6042	657	12	equations	equation	NOUN
ejpam-6042	657	13	.	.	PUNCT
ejpam-6042	658	1	international	international	ADJ
ejpam-6042	658	2	journal	journal	PROPN
ejpam-6042	658	3	of	of	ADP
ejpam-6042	658	4	computer	computer	NOUN
ejpam-6042	658	5	mathematics	mathematic	NOUN
ejpam-6042	658	6	,	,	PUNCT
ejpam-6042	658	7	95(1):159–173	95(1):159–173	PROPN
ejpam-6042	658	8	,	,	PUNCT
ejpam-6042	658	9	2018	2018	NUM
ejpam-6042	658	10	.	.	PUNCT
ejpam-6042	659	1	[	[	X
ejpam-6042	659	2	20	20	NUM
ejpam-6042	659	3	]	]	PUNCT
ejpam-6042	659	4	k.	k.	PROPN
ejpam-6042	659	5	c.	c.	PROPN
ejpam-6042	659	6	lee	lee	PROPN
ejpam-6042	659	7	,	,	PUNCT
ejpam-6042	659	8	m.	m.	NOUN
ejpam-6042	659	9	a.	a.	NOUN
ejpam-6042	659	10	alias	alias	PROPN
ejpam-6042	659	11	,	,	PUNCT
ejpam-6042	659	12	n.	n.	NOUN
ejpam-6042	659	13	senu	senu	PROPN
ejpam-6042	659	14	,	,	PUNCT
ejpam-6042	659	15	and	and	CCONJ
ejpam-6042	659	16	a.	a.	NOUN
ejpam-6042	659	17	ahmadian	ahmadian	PROPN
ejpam-6042	659	18	.	.	PUNCT
ejpam-6042	660	1	on	on	ADP
ejpam-6042	660	2	efficient	efficient	ADJ
ejpam-6042	660	3	frequency	frequency	NOUN
ejpam-6042	660	4	-	-	PUNCT
ejpam-6042	660	5	dependent	dependent	ADJ
ejpam-6042	660	6	parameters	parameter	NOUN
ejpam-6042	660	7	of	of	ADP
ejpam-6042	660	8	explicit	explicit	ADJ
ejpam-6042	660	9	two	two	NUM
ejpam-6042	660	10	-	-	PUNCT
ejpam-6042	660	11	derivative	derivative	NOUN
ejpam-6042	660	12	improved	improve	VERB
ejpam-6042	660	13	runge	runge	NOUN
ejpam-6042	660	14	-	-	PUNCT
ejpam-6042	660	15	kutta	kutta	NOUN
ejpam-6042	660	16	-	-	PUNCT
ejpam-6042	660	17	nyström	nyström	NOUN
ejpam-6042	660	18	method	method	NOUN
ejpam-6042	660	19	with	with	ADP
ejpam-6042	660	20	application	application	NOUN
ejpam-6042	660	21	to	to	ADP
ejpam-6042	660	22	two	two	NUM
ejpam-6042	660	23	-	-	PUNCT
ejpam-6042	660	24	body	body	NOUN
ejpam-6042	660	25	problem	problem	NOUN
ejpam-6042	660	26	.	.	PUNCT
ejpam-6042	661	1	alexandria	alexandria	PROPN
ejpam-6042	661	2	engineering	engineering	PROPN
ejpam-6042	661	3	journal	journal	PROPN
ejpam-6042	661	4	,	,	PUNCT
ejpam-6042	661	5	72:605–620	72:605–620	NOUN
ejpam-6042	661	6	,	,	PUNCT
ejpam-6042	661	7	2023	2023	NUM
ejpam-6042	661	8	.	.	PUNCT
ejpam-6042	662	1	[	[	X
ejpam-6042	662	2	21	21	NUM
ejpam-6042	662	3	]	]	X
ejpam-6042	662	4	g.	g.	PROPN
ejpam-6042	662	5	xue	xue	PROPN
ejpam-6042	662	6	and	and	CCONJ
ejpam-6042	662	7	y.	y.	PROPN
ejpam-6042	662	8	ye	ye	PROPN
ejpam-6042	662	9	.	.	PUNCT
ejpam-6042	663	1	an	an	DET
ejpam-6042	663	2	efficient	efficient	ADJ
ejpam-6042	663	3	algorithm	algorithm	NOUN
ejpam-6042	663	4	for	for	ADP
ejpam-6042	663	5	minimizing	minimize	VERB
ejpam-6042	663	6	a	a	DET
ejpam-6042	663	7	sum	sum	NOUN
ejpam-6042	663	8	of	of	ADP
ejpam-6042	663	9	euclidean	euclidean	ADJ
ejpam-6042	663	10	norms	norm	NOUN
ejpam-6042	663	11	with	with	ADP
ejpam-6042	663	12	applications	application	NOUN
ejpam-6042	663	13	.	.	PUNCT
ejpam-6042	664	1	siam	siam	PROPN
ejpam-6042	664	2	journal	journal	PROPN
ejpam-6042	664	3	on	on	ADP
ejpam-6042	664	4	optimization	optimization	NOUN
ejpam-6042	664	5	,	,	PUNCT
ejpam-6042	664	6	7(4):1017–1036	7(4):1017–1036	NOUN
ejpam-6042	664	7	,	,	PUNCT
ejpam-6042	664	8	1997	1997	NUM
ejpam-6042	664	9	.	.	PUNCT
ejpam-6042	665	1	[	[	X
ejpam-6042	665	2	22	22	NUM
ejpam-6042	665	3	]	]	X
ejpam-6042	665	4	h.	h.	PROPN
ejpam-6042	665	5	ramos	ramos	PROPN
ejpam-6042	665	6	and	and	CCONJ
ejpam-6042	665	7	j.	j.	PROPN
ejpam-6042	665	8	vigo	vigo	PROPN
ejpam-6042	665	9	-	-	PUNCT
ejpam-6042	665	10	aguiar	aguiar	NOUN
ejpam-6042	665	11	.	.	PUNCT
ejpam-6042	666	1	on	on	ADP
ejpam-6042	666	2	the	the	DET
ejpam-6042	666	3	frequency	frequency	NOUN
ejpam-6042	666	4	choice	choice	NOUN
ejpam-6042	666	5	in	in	ADP
ejpam-6042	666	6	trigonometrically	trigonometrically	ADV
ejpam-6042	666	7	fitted	fit	VERB
ejpam-6042	666	8	methods	method	NOUN
ejpam-6042	666	9	.	.	PUNCT
ejpam-6042	667	1	applied	apply	VERB
ejpam-6042	667	2	mathematics	mathematics	NOUN
ejpam-6042	667	3	letters	letter	NOUN
ejpam-6042	667	4	,	,	PUNCT
ejpam-6042	667	5	23(11):1378–1381	23(11):1378–1381	NUM
ejpam-6042	667	6	,	,	PUNCT
ejpam-6042	667	7	2010	2010	NUM
ejpam-6042	667	8	.	.	PUNCT
ejpam-6042	668	1	[	[	X
ejpam-6042	668	2	23	23	NUM
ejpam-6042	668	3	]	]	PUNCT
ejpam-6042	668	4	p.	p.	NOUN
ejpam-6042	668	5	j.	j.	PROPN
ejpam-6042	668	6	van	van	PROPN
ejpam-6042	668	7	der	der	PROPN
ejpam-6042	668	8	houwen	houwen	PROPN
ejpam-6042	668	9	and	and	CCONJ
ejpam-6042	668	10	b.	b.	PROPN
ejpam-6042	668	11	p.	p.	PROPN
ejpam-6042	668	12	sommeijer	sommeijer	PROPN
ejpam-6042	668	13	.	.	PUNCT
ejpam-6042	669	1	diagonally	diagonally	ADV
ejpam-6042	669	2	implicit	implicit	ADJ
ejpam-6042	669	3	runge	runge	NOUN
ejpam-6042	669	4	-	-	PUNCT
ejpam-6042	669	5	kutta	kutta	NOUN
ejpam-6042	669	6	-	-	PUNCT
ejpam-6042	669	7	nyström	nyström	NOUN
ejpam-6042	669	8	methods	method	NOUN
ejpam-6042	669	9	for	for	ADP
ejpam-6042	669	10	oscillatory	oscillatory	ADJ
ejpam-6042	669	11	problems	problem	NOUN
ejpam-6042	669	12	.	.	PUNCT
ejpam-6042	670	1	siam	siam	PROPN
ejpam-6042	670	2	journal	journal	PROPN
ejpam-6042	670	3	on	on	ADP
ejpam-6042	670	4	numerical	numerical	ADJ
ejpam-6042	670	5	analysis	analysis	NOUN
ejpam-6042	670	6	,	,	PUNCT
ejpam-6042	670	7	26(2):414	26(2):414	NUM
ejpam-6042	670	8	–	–	PUNCT
ejpam-6042	670	9	429	429	NUM
ejpam-6042	670	10	,	,	PUNCT
ejpam-6042	670	11	1989	1989	NUM
ejpam-6042	670	12	.	.	PUNCT
ejpam-6042	671	1	[	[	X
ejpam-6042	671	2	24	24	NUM
ejpam-6042	671	3	]	]	PUNCT
ejpam-6042	671	4	m.	m.	NOUN
ejpam-6042	671	5	a.	a.	NOUN
ejpam-6042	671	6	demba	demba	PROPN
ejpam-6042	671	7	,	,	PUNCT
ejpam-6042	671	8	h.	h.	PROPN
ejpam-6042	671	9	ramos	ramos	PROPN
ejpam-6042	671	10	,	,	PUNCT
ejpam-6042	671	11	p.	p.	PROPN
ejpam-6042	671	12	kumam	kumam	PROPN
ejpam-6042	671	13	,	,	PUNCT
ejpam-6042	671	14	and	and	CCONJ
ejpam-6042	671	15	w	w	PROPN
ejpam-6042	671	16	watthayu	watthayu	PROPN
ejpam-6042	671	17	.	.	PUNCT
ejpam-6042	672	1	an	an	DET
ejpam-6042	672	2	optimized	optimize	VERB
ejpam-6042	672	3	sixth	sixth	ADJ
ejpam-6042	672	4	-	-	PUNCT
ejpam-6042	672	5	order	order	NOUN
ejpam-6042	672	6	explicit	explicit	ADJ
ejpam-6042	672	7	rkn	rkn	NOUN
ejpam-6042	672	8	method	method	NOUN
ejpam-6042	672	9	to	to	PART
ejpam-6042	672	10	solve	solve	VERB
ejpam-6042	672	11	oscillating	oscillate	VERB
ejpam-6042	672	12	systems	system	NOUN
ejpam-6042	672	13	.	.	PUNCT
ejpam-6042	673	1	in	in	ADP
ejpam-6042	673	2	proceedings	proceeding	NOUN
ejpam-6042	673	3	of	of	ADP
ejpam-6042	673	4	the	the	DET
ejpam-6042	673	5	xxvi	xxvi	PROPN
ejpam-6042	673	6	congreso	congreso	X
ejpam-6042	673	7	de	de	X
ejpam-6042	673	8	ecuaciones	ecuacione	NOUN
ejpam-6042	673	9	diferenciales	diferenciale	VERB
ejpam-6042	673	10	y	y	PROPN
ejpam-6042	673	11	aplicaciones	aplicaciones	PROPN
ejpam-6042	673	12	.	.	PUNCT
ejpam-6042	674	1	xvi	xvi	PROPN
ejpam-6042	674	2	congreso	congreso	PROPN
ejpam-6042	674	3	de	de	PROPN
ejpam-6042	674	4	matemática	matemática	PROPN
ejpam-6042	674	5	aplicada	aplicada	PROPN
ejpam-6042	674	6	.	.	PUNCT
ejpam-6042	675	1	servicio	servicio	PROPN
ejpam-6042	675	2	de	de	PROPN
ejpam-6042	675	3	publicaciones	publicaciones	PROPN
ejpam-6042	675	4	de	de	X
ejpam-6042	675	5	la	la	X
ejpam-6042	675	6	universidad	universidad	PROPN
ejpam-6042	675	7	de	de	PROPN
ejpam-6042	675	8	oviedo	oviedo	PROPN
ejpam-6042	675	9	,	,	PUNCT
ejpam-6042	675	10	2021	2021	NUM
ejpam-6042	675	11	.	.	PUNCT
ejpam-6042	676	1	[	[	X
ejpam-6042	676	2	25	25	NUM
ejpam-6042	676	3	]	]	PUNCT
ejpam-6042	676	4	w.	w.	PROPN
ejpam-6042	676	5	j.	j.	PROPN
ejpam-6042	676	6	hasan	hasan	PROPN
ejpam-6042	676	7	and	and	CCONJ
ejpam-6042	676	8	k.	k.	PROPN
ejpam-6042	676	9	a.	a.	PROPN
ejpam-6042	676	10	hussain	hussain	PROPN
ejpam-6042	676	11	.	.	PUNCT
ejpam-6042	677	1	fifth	fifth	ADJ
ejpam-6042	677	2	order	order	NOUN
ejpam-6042	677	3	improved	improve	VERB
ejpam-6042	677	4	runge	runge	NOUN
ejpam-6042	677	5	-	-	PUNCT
ejpam-6042	677	6	kutta	kutta	PROPN
ejpam-6042	677	7	-	-	PUNCT
ejpam-6042	677	8	nystrom	nystrom	NOUN
ejpam-6042	677	9	method	method	NOUN
ejpam-6042	677	10	using	use	VERB
ejpam-6042	677	11	trigonometrically	trigonometrically	ADV
ejpam-6042	677	12	-	-	PUNCT
ejpam-6042	677	13	fitting	fit	VERB
ejpam-6042	677	14	for	for	ADP
ejpam-6042	677	15	solving	solve	VERB
ejpam-6042	677	16	oscillatory	oscillatory	ADJ
ejpam-6042	677	17	problems	problem	NOUN
ejpam-6042	677	18	.	.	PUNCT
ejpam-6042	678	1	al	al	PROPN
ejpam-6042	678	2	-	-	PUNCT
ejpam-6042	678	3	nahrain	nahrain	PROPN
ejpam-6042	678	4	journal	journal	PROPN
ejpam-6042	678	5	z.	z.	PROPN
ejpam-6042	678	6	sun	sun	PROPN
ejpam-6042	678	7	et	et	PROPN
ejpam-6042	678	8	al	al	PROPN
ejpam-6042	678	9	.	.	PUNCT
ejpam-6042	678	10	/	/	SYM
ejpam-6042	678	11	eur	eur	PROPN
ejpam-6042	678	12	.	.	PUNCT
ejpam-6042	679	1	j.	j.	PROPN
ejpam-6042	679	2	pure	pure	PROPN
ejpam-6042	679	3	appl	appl	PROPN
ejpam-6042	679	4	.	.	PROPN
ejpam-6042	679	5	math	math	PROPN
ejpam-6042	679	6	,	,	PUNCT
ejpam-6042	679	7	18	18	NUM
ejpam-6042	679	8	(	(	PUNCT
ejpam-6042	679	9	4	4	NUM
ejpam-6042	679	10	)	)	PUNCT
ejpam-6042	679	11	(	(	PUNCT
ejpam-6042	679	12	2025	2025	NUM
ejpam-6042	679	13	)	)	PUNCT
ejpam-6042	679	14	,	,	PUNCT
ejpam-6042	679	15	6042	6042	NUM
ejpam-6042	679	16	43	43	NUM
ejpam-6042	679	17	of	of	ADP
ejpam-6042	679	18	45	45	NUM
ejpam-6042	679	19	of	of	ADP
ejpam-6042	679	20	science	science	NOUN
ejpam-6042	679	21	,	,	PUNCT
ejpam-6042	679	22	25(4):63–67	25(4):63–67	NUM
ejpam-6042	679	23	,	,	PUNCT
ejpam-6042	679	24	2022	2022	NUM
ejpam-6042	679	25	.	.	PUNCT
ejpam-6042	680	1	[	[	X
ejpam-6042	680	2	26	26	NUM
ejpam-6042	680	3	]	]	X
ejpam-6042	680	4	b.	b.	PROPN
ejpam-6042	680	5	s.	s.	PROPN
ejpam-6042	680	6	attili	attili	PROPN
ejpam-6042	680	7	,	,	PUNCT
ejpam-6042	680	8	k.	k.	PROPN
ejpam-6042	680	9	furati	furati	PROPN
ejpam-6042	680	10	,	,	PUNCT
ejpam-6042	680	11	and	and	CCONJ
ejpam-6042	680	12	m.	m.	PROPN
ejpam-6042	680	13	i.	i.	PROPN
ejpam-6042	680	14	syam	syam	PROPN
ejpam-6042	680	15	.	.	PUNCT
ejpam-6042	681	1	an	an	DET
ejpam-6042	681	2	efficient	efficient	ADJ
ejpam-6042	681	3	implicit	implicit	ADJ
ejpam-6042	681	4	runge	runge	NOUN
ejpam-6042	681	5	-	-	PUNCT
ejpam-6042	681	6	kutta	kutta	NOUN
ejpam-6042	681	7	method	method	NOUN
ejpam-6042	681	8	for	for	ADP
ejpam-6042	681	9	second	second	ADJ
ejpam-6042	681	10	order	order	NOUN
ejpam-6042	681	11	systems	system	NOUN
ejpam-6042	681	12	.	.	PUNCT
ejpam-6042	682	1	applied	apply	VERB
ejpam-6042	682	2	mathematics	mathematic	NOUN
ejpam-6042	682	3	and	and	CCONJ
ejpam-6042	682	4	computation	computation	NOUN
ejpam-6042	682	5	,	,	PUNCT
ejpam-6042	682	6	178(2):229–238	178(2):229–238	NUM
ejpam-6042	682	7	,	,	PUNCT
ejpam-6042	682	8	2006	2006	NUM
ejpam-6042	682	9	.	.	PUNCT
ejpam-6042	683	1	[	[	X
ejpam-6042	683	2	27	27	NUM
ejpam-6042	683	3	]	]	X
ejpam-6042	683	4	d.	d.	PROPN
ejpam-6042	683	5	o.	o.	PROPN
ejpam-6042	683	6	awoyemi	awoyemi	PROPN
ejpam-6042	683	7	.	.	PUNCT
ejpam-6042	684	1	a	a	DET
ejpam-6042	684	2	p	p	ADJ
ejpam-6042	684	3	-	-	PUNCT
ejpam-6042	684	4	stable	stable	ADJ
ejpam-6042	684	5	linear	linear	ADJ
ejpam-6042	684	6	multistep	multistep	NOUN
ejpam-6042	684	7	method	method	NOUN
ejpam-6042	684	8	for	for	ADP
ejpam-6042	684	9	solving	solve	VERB
ejpam-6042	684	10	general	general	ADJ
ejpam-6042	684	11	third	third	ADJ
ejpam-6042	684	12	order	order	NOUN
ejpam-6042	684	13	ordinary	ordinary	ADJ
ejpam-6042	684	14	differential	differential	ADJ
ejpam-6042	684	15	equations	equation	NOUN
ejpam-6042	684	16	.	.	PUNCT
ejpam-6042	685	1	international	international	ADJ
ejpam-6042	685	2	journal	journal	PROPN
ejpam-6042	685	3	of	of	ADP
ejpam-6042	685	4	computer	computer	NOUN
ejpam-6042	685	5	mathematics	mathematic	NOUN
ejpam-6042	685	6	,	,	PUNCT
ejpam-6042	685	7	80(8):985–991	80(8):985–991	NUM
ejpam-6042	685	8	,	,	PUNCT
ejpam-6042	685	9	2003	2003	NUM
ejpam-6042	685	10	.	.	PUNCT
ejpam-6042	686	1	[	[	X
ejpam-6042	686	2	28	28	NUM
ejpam-6042	686	3	]	]	X
ejpam-6042	686	4	j.	j.	PROPN
ejpam-6042	686	5	m.	m.	PROPN
ejpam-6042	686	6	franco	franco	PROPN
ejpam-6042	686	7	,	,	PUNCT
ejpam-6042	686	8	i.	i.	NOUN
ejpam-6042	686	9	gómez	gómez	PROPN
ejpam-6042	686	10	,	,	PUNCT
ejpam-6042	686	11	and	and	CCONJ
ejpam-6042	687	1	l.	l.	PROPN
ejpam-6042	687	2	rández	rández	PROPN
ejpam-6042	687	3	.	.	PROPN
ejpam-6042	687	4	four	four	NUM
ejpam-6042	687	5	-	-	PUNCT
ejpam-6042	687	6	stage	stage	NOUN
ejpam-6042	687	7	symplectic	symplectic	NOUN
ejpam-6042	687	8	and	and	CCONJ
ejpam-6042	687	9	p	p	ADJ
ejpam-6042	687	10	-	-	PUNCT
ejpam-6042	687	11	stable	stable	ADJ
ejpam-6042	687	12	sdirkn	sdirkn	ADJ
ejpam-6042	687	13	methods	method	NOUN
ejpam-6042	687	14	with	with	ADP
ejpam-6042	687	15	dispersion	dispersion	NOUN
ejpam-6042	687	16	of	of	ADP
ejpam-6042	687	17	high	high	ADJ
ejpam-6042	687	18	order	order	NOUN
ejpam-6042	687	19	.	.	PUNCT
ejpam-6042	688	1	numerical	numerical	ADJ
ejpam-6042	688	2	algorithms	algorithms	PROPN
ejpam-6042	688	3	,	,	PUNCT
ejpam-6042	688	4	26:347–363	26:347–363	PROPN
ejpam-6042	688	5	,	,	PUNCT
ejpam-6042	688	6	2001	2001	NUM
ejpam-6042	688	7	.	.	PUNCT
ejpam-6042	689	1	[	[	X
ejpam-6042	689	2	29	29	NUM
ejpam-6042	689	3	]	]	PUNCT
ejpam-6042	689	4	j.	j.	PROPN
ejpam-6042	689	5	lebl	lebl	PROPN
ejpam-6042	689	6	.	.	PUNCT
ejpam-6042	690	1	notes	note	NOUN
ejpam-6042	690	2	on	on	ADP
ejpam-6042	690	3	diffy	diffy	ADJ
ejpam-6042	690	4	qs	qs	NOUN
ejpam-6042	690	5	:	:	PUNCT
ejpam-6042	690	6	differential	differential	ADJ
ejpam-6042	690	7	equations	equation	NOUN
ejpam-6042	690	8	for	for	ADP
ejpam-6042	690	9	engineers	engineer	NOUN
ejpam-6042	690	10	.	.	PUNCT
ejpam-6042	691	1	independent	independent	ADJ
ejpam-6042	691	2	,	,	PUNCT
ejpam-6042	691	3	2014	2014	NUM
ejpam-6042	691	4	.	.	PUNCT
ejpam-6042	692	1	[	[	X
ejpam-6042	692	2	30	30	NUM
ejpam-6042	692	3	]	]	PUNCT
ejpam-6042	692	4	x.	x.	NOUN
ejpam-6042	692	5	wu	wu	PROPN
ejpam-6042	692	6	and	and	CCONJ
ejpam-6042	692	7	b.	b.	PROPN
ejpam-6042	692	8	wang	wang	PROPN
ejpam-6042	692	9	.	.	PUNCT
ejpam-6042	693	1	geometric	geometric	ADJ
ejpam-6042	693	2	integrators	integrator	NOUN
ejpam-6042	693	3	for	for	ADP
ejpam-6042	693	4	differential	differential	ADJ
ejpam-6042	693	5	equations	equation	NOUN
ejpam-6042	693	6	with	with	ADP
ejpam-6042	693	7	highly	highly	ADV
ejpam-6042	693	8	oscillatory	oscillatory	ADJ
ejpam-6042	693	9	solutions	solution	NOUN
ejpam-6042	693	10	.	.	PUNCT
ejpam-6042	694	1	springer	springer	NOUN
ejpam-6042	694	2	,	,	PUNCT
ejpam-6042	694	3	2021	2021	NUM
ejpam-6042	694	4	.	.	PUNCT
ejpam-6042	695	1	[	[	X
ejpam-6042	695	2	31	31	NUM
ejpam-6042	695	3	]	]	PUNCT
ejpam-6042	695	4	j.	j.	PROPN
ejpam-6042	695	5	vigo	vigo	PROPN
ejpam-6042	695	6	-	-	PUNCT
ejpam-6042	695	7	aguiar	aguiar	PROPN
ejpam-6042	695	8	,	,	PUNCT
ejpam-6042	695	9	t.	t.	PROPN
ejpam-6042	695	10	e.	e.	PROPN
ejpam-6042	695	11	simos	simos	PROPN
ejpam-6042	695	12	,	,	PUNCT
ejpam-6042	695	13	and	and	CCONJ
ejpam-6042	695	14	j.	j.	PROPN
ejpam-6042	695	15	m.	m.	PROPN
ejpam-6042	695	16	ferrándiz	ferrándiz	PROPN
ejpam-6042	695	17	.	.	PUNCT
ejpam-6042	695	18	controlling	control	VERB
ejpam-6042	695	19	the	the	DET
ejpam-6042	695	20	error	error	NOUN
ejpam-6042	695	21	growth	growth	NOUN
ejpam-6042	695	22	in	in	ADP
ejpam-6042	695	23	long	long	ADJ
ejpam-6042	695	24	–	–	PUNCT
ejpam-6042	695	25	term	term	NOUN
ejpam-6042	695	26	numerical	numerical	ADJ
ejpam-6042	695	27	integration	integration	NOUN
ejpam-6042	695	28	of	of	ADP
ejpam-6042	695	29	perturbed	perturb	VERB
ejpam-6042	695	30	oscillations	oscillation	NOUN
ejpam-6042	695	31	in	in	ADP
ejpam-6042	695	32	one	one	NUM
ejpam-6042	695	33	or	or	CCONJ
ejpam-6042	695	34	several	several	ADJ
ejpam-6042	695	35	frequencies	frequency	NOUN
ejpam-6042	695	36	.	.	PUNCT
ejpam-6042	696	1	proceedings	proceeding	NOUN
ejpam-6042	696	2	of	of	ADP
ejpam-6042	696	3	the	the	DET
ejpam-6042	696	4	royal	royal	ADJ
ejpam-6042	696	5	society	society	NOUN
ejpam-6042	696	6	of	of	ADP
ejpam-6042	696	7	london	london	PROPN
ejpam-6042	696	8	.	.	PUNCT
ejpam-6042	697	1	series	series	PROPN
ejpam-6042	697	2	a	a	PRON
ejpam-6042	697	3	:	:	PUNCT
ejpam-6042	697	4	mathematical	mathematical	ADJ
ejpam-6042	697	5	,	,	PUNCT
ejpam-6042	697	6	physical	physical	ADJ
ejpam-6042	697	7	and	and	CCONJ
ejpam-6042	697	8	engineering	engineering	NOUN
ejpam-6042	697	9	sciences	science	NOUN
ejpam-6042	697	10	,	,	PUNCT
ejpam-6042	697	11	460(2042):561–567	460(2042):561–567	NUM
ejpam-6042	697	12	,	,	PUNCT
ejpam-6042	697	13	2004	2004	NUM
ejpam-6042	697	14	.	.	PUNCT
ejpam-6042	698	1	[	[	X
ejpam-6042	698	2	32	32	NUM
ejpam-6042	698	3	]	]	PUNCT
ejpam-6042	698	4	s.	s.	PROPN
ejpam-6042	698	5	lynch	lynch	PROPN
ejpam-6042	698	6	.	.	PUNCT
ejpam-6042	699	1	dynamical	dynamical	ADJ
ejpam-6042	699	2	systems	system	NOUN
ejpam-6042	699	3	with	with	ADP
ejpam-6042	699	4	applications	application	NOUN
ejpam-6042	699	5	using	use	VERB
ejpam-6042	699	6	maple	maple	NOUN
ejpam-6042	699	7	.	.	PUNCT
ejpam-6042	700	1	springer	springer	NOUN
ejpam-6042	700	2	,	,	PUNCT
ejpam-6042	700	3	2010	2010	NUM
ejpam-6042	700	4	.	.	PUNCT
ejpam-6042	701	1	z.	z.	PROPN
ejpam-6042	701	2	sun	sun	PROPN
ejpam-6042	701	3	et	et	PROPN
ejpam-6042	701	4	al	al	PROPN
ejpam-6042	701	5	.	.	PUNCT
ejpam-6042	701	6	/	/	SYM
ejpam-6042	701	7	eur	eur	PROPN
ejpam-6042	701	8	.	.	PUNCT
ejpam-6042	702	1	j.	j.	PROPN
ejpam-6042	702	2	pure	pure	PROPN
ejpam-6042	702	3	appl	appl	PROPN
ejpam-6042	702	4	.	.	PROPN
ejpam-6042	702	5	math	math	PROPN
ejpam-6042	702	6	,	,	PUNCT
ejpam-6042	702	7	18	18	NUM
ejpam-6042	702	8	(	(	PUNCT
ejpam-6042	702	9	4	4	NUM
ejpam-6042	702	10	)	)	PUNCT
ejpam-6042	702	11	(	(	PUNCT
ejpam-6042	702	12	2025	2025	NUM
ejpam-6042	702	13	)	)	PUNCT
ejpam-6042	702	14	,	,	PUNCT
ejpam-6042	702	15	6042	6042	NUM
ejpam-6042	702	16	44	44	NUM
ejpam-6042	702	17	of	of	ADP
ejpam-6042	702	18	45	45	NUM
ejpam-6042	702	19	appendices	appendix	NOUN
ejpam-6042	702	20	frequency	frequency	NOUN
ejpam-6042	702	21	-	-	PUNCT
ejpam-6042	702	22	dependent	dependent	ADJ
ejpam-6042	702	23	coefficients	coefficient	NOUN
ejpam-6042	702	24	of	of	ADP
ejpam-6042	702	25	two	two	NUM
ejpam-6042	702	26	-	-	PUNCT
ejpam-6042	702	27	derivative	derivative	NOUN
ejpam-6042	702	28	runge	runge	NOUN
ejpam-6042	702	29	-	-	PUNCT
ejpam-6042	702	30	kutta	kutta	NOUN
ejpam-6042	702	31	-	-	PUNCT
ejpam-6042	702	32	nyström	nyström	NOUN
ejpam-6042	702	33	method	method	NOUN
ejpam-6042	702	34	ā21	ā21	NUM
ejpam-6042	702	35	(	(	PUNCT
ejpam-6042	702	36	w	w	NOUN
ejpam-6042	702	37	)	)	PUNCT
ejpam-6042	702	38	=	=	SYM
ejpam-6042	702	39	1	1	NUM
ejpam-6042	702	40	30	30	NUM
ejpam-6042	702	41	+	+	CCONJ
ejpam-6042	702	42	√	√	NUM
ejpam-6042	702	43	5	5	NUM
ejpam-6042	702	44	75	75	NUM
ejpam-6042	702	45	+	+	CCONJ
ejpam-6042	702	46	(	(	PUNCT
ejpam-6042	702	47	−	−	PROPN
ejpam-6042	702	48	1	1	NUM
ejpam-6042	702	49	1200	1200	NUM
ejpam-6042	702	50	−	−	NUM
ejpam-6042	702	51	11	11	NUM
ejpam-6042	702	52	√	√	NUM
ejpam-6042	702	53	5	5	NUM
ejpam-6042	702	54	30000	30000	NUM
ejpam-6042	702	55	)	)	PUNCT
ejpam-6042	702	56	w2	w2	NOUN
ejpam-6042	702	57	+	+	CCONJ
ejpam-6042	702	58	(	(	PUNCT
ejpam-6042	702	59	13	13	NUM
ejpam-6042	702	60	1260000	1260000	NUM
ejpam-6042	702	61	+	+	CCONJ
ejpam-6042	702	62	29	29	NUM
ejpam-6042	702	63	√	√	NUM
ejpam-6042	702	64	5	5	NUM
ejpam-6042	702	65	6300000	6300000	NUM
ejpam-6042	702	66	)	)	PUNCT
ejpam-6042	702	67	w4	w4	NOUN
ejpam-6042	702	68	+	+	CCONJ
ejpam-6042	702	69	(	(	PUNCT
ejpam-6042	702	70	−	−	PROPN
ejpam-6042	702	71	17	17	NUM
ejpam-6042	702	72	226800000	226800000	NUM
ejpam-6042	702	73	−	−	NUM
ejpam-6042	702	74	19	19	NUM
ejpam-6042	702	75	√	√	NUM
ejpam-6042	702	76	5	5	NUM
ejpam-6042	702	77	567000000	567000000	NUM
ejpam-6042	702	78	)	)	PUNCT
ejpam-6042	703	1	w6	w6	PROPN
ejpam-6042	703	2	+	+	CCONJ
ejpam-6042	703	3	(	(	PUNCT
ejpam-6042	703	4	89	89	NUM
ejpam-6042	703	5	249480000000	249480000000	NUM
ejpam-6042	703	6	+	+	CCONJ
ejpam-6042	703	7	199	199	NUM
ejpam-6042	703	8	√	√	NUM
ejpam-6042	703	9	5	5	NUM
ejpam-6042	703	10	1247400000000	1247400000000	NUM
ejpam-6042	703	11	)	)	PUNCT
ejpam-6042	704	1	w8	w8	NOUN
ejpam-6042	704	2	+	+	NOUN
ejpam-6042	704	3	o	o	X
ejpam-6042	704	4	(	(	PUNCT
ejpam-6042	704	5	w10	w10	PROPN
ejpam-6042	704	6	)	)	PUNCT
ejpam-6042	704	7	,	,	PUNCT
ejpam-6042	704	8	ā32	ā32	PROPN
ejpam-6042	704	9	(	(	PUNCT
ejpam-6042	704	10	w	w	NOUN
ejpam-6042	704	11	)	)	PUNCT
ejpam-6042	704	12	=	=	SYM
ejpam-6042	704	13	98209	98209	NUM
ejpam-6042	704	14	2714430	2714430	NUM
ejpam-6042	705	1	−	−	NOUN
ejpam-6042	705	2	√	√	ADV
ejpam-6042	705	3	5	5	NUM
ejpam-6042	705	4	75	75	NUM
ejpam-6042	705	5	+	+	CCONJ
ejpam-6042	705	6	(	(	PUNCT
ejpam-6042	705	7	136849	136849	NUM
ejpam-6042	705	8	108577200	108577200	NUM
ejpam-6042	705	9	+	+	CCONJ
ejpam-6042	705	10	476881	476881	NUM
ejpam-6042	705	11	√	√	NUM
ejpam-6042	705	12	5	5	NUM
ejpam-6042	705	13	2714430000	2714430000	NUM
ejpam-6042	705	14	)	)	PUNCT
ejpam-6042	705	15	w2	w2	NOUN
ejpam-6042	705	16	+	+	CCONJ
ejpam-6042	705	17	(	(	PUNCT
ejpam-6042	705	18	11338513	11338513	NUM
ejpam-6042	705	19	57003030000	57003030000	NUM
ejpam-6042	705	20	+	+	CCONJ
ejpam-6042	705	21	4109663	4109663	NUM
ejpam-6042	705	22	√	√	ADP
ejpam-6042	705	23	5	5	NUM
ejpam-6042	705	24	57003030000	57003030000	NUM
ejpam-6042	705	25	)	)	PUNCT
ejpam-6042	705	26	w4	w4	NOUN
ejpam-6042	705	27	+	+	PROPN
ejpam-6042	705	28	(	(	PUNCT
ejpam-6042	705	29	79811269	79811269	NUM
ejpam-6042	705	30	2052109080000	2052109080000	NUM
ejpam-6042	705	31	+	+	CCONJ
ejpam-6042	705	32	1733239283	1733239283	NUM
ejpam-6042	705	33	√	√	NUM
ejpam-6042	705	34	5	5	NUM
ejpam-6042	705	35	102605454000000	102605454000000	NUM
ejpam-6042	705	36	)	)	PUNCT
ejpam-6042	706	1	w6	w6	PROPN
ejpam-6042	706	2	+	+	CCONJ
ejpam-6042	706	3	(	(	PUNCT
ejpam-6042	706	4	184081799677	184081799677	NUM
ejpam-6042	706	5	22573199880000000	22573199880000000	NUM
ejpam-6042	706	6	+	+	CCONJ
ejpam-6042	706	7	409862403109	409862403109	NUM
ejpam-6042	706	8	√	√	NUM
ejpam-6042	706	9	5	5	NUM
ejpam-6042	706	10	112865999400000000	112865999400000000	NUM
ejpam-6042	706	11	)	)	PUNCT
ejpam-6042	707	1	w8	w8	PROPN
ejpam-6042	707	2	+	+	NOUN
ejpam-6042	707	3	o	o	X
ejpam-6042	707	4	(	(	PUNCT
ejpam-6042	707	5	w10	w10	PROPN
ejpam-6042	707	6	)	)	PUNCT
ejpam-6042	707	7	,	,	PUNCT
ejpam-6042	707	8	χ̄2	χ̄2	NUM
ejpam-6042	707	9	(	(	PUNCT
ejpam-6042	707	10	w	w	NOUN
ejpam-6042	707	11	)	)	PUNCT
ejpam-6042	707	12	=	=	SYM
ejpam-6042	708	1	1	1	NUM
ejpam-6042	708	2	+	+	CCONJ
ejpam-6042	708	3	1	1	NUM
ejpam-6042	708	4	240000	240000	NUM
ejpam-6042	708	5	(	(	PUNCT
ejpam-6042	708	6	5	5	NUM
ejpam-6042	708	7	+	+	CCONJ
ejpam-6042	708	8	√	√	NUM
ejpam-6042	708	9	5	5	NUM
ejpam-6042	708	10	)	)	SYM
ejpam-6042	708	11	4	4	NUM
ejpam-6042	708	12	w4	w4	NOUN
ejpam-6042	708	13	−	−	PROPN
ejpam-6042	708	14	1	1	NUM
ejpam-6042	708	15	720000000	720000000	NUM
ejpam-6042	708	16	(	(	PUNCT
ejpam-6042	708	17	5	5	NUM
ejpam-6042	708	18	+	+	CCONJ
ejpam-6042	708	19	√	√	NUM
ejpam-6042	708	20	5	5	NUM
ejpam-6042	708	21	)	)	PUNCT
ejpam-6042	708	22	6	6	NUM
ejpam-6042	708	23	w6	w6	NOUN
ejpam-6042	708	24	+	+	CCONJ
ejpam-6042	708	25	1	1	NUM
ejpam-6042	708	26	4032000000000	4032000000000	NUM
ejpam-6042	708	27	(	(	PUNCT
ejpam-6042	708	28	5	5	NUM
ejpam-6042	708	29	+	+	CCONJ
ejpam-6042	708	30	√	√	NUM
ejpam-6042	708	31	5)8w8	5)8w8	NUM
ejpam-6042	708	32	+	+	NOUN
ejpam-6042	708	33	o	o	PROPN
ejpam-6042	708	34	(	(	PUNCT
ejpam-6042	708	35	w10	w10	PROPN
ejpam-6042	708	36	)	)	PUNCT
ejpam-6042	708	37	,	,	PUNCT
ejpam-6042	708	38	χ̄3	χ̄3	VERB
ejpam-6042	708	39	(	(	PUNCT
ejpam-6042	708	40	w	w	NOUN
ejpam-6042	708	41	)	)	PUNCT
ejpam-6042	708	42	=	=	SYM
ejpam-6042	708	43	1	1	NUM
ejpam-6042	708	44	+	+	CCONJ
ejpam-6042	708	45	(	(	PUNCT
ejpam-6042	708	46	−	−	PROPN
ejpam-6042	708	47	121393	121393	NUM
ejpam-6042	708	48	21715440	21715440	NUM
ejpam-6042	709	1	+	+	CCONJ
ejpam-6042	709	2	59569	59569	NUM
ejpam-6042	709	3	√	√	NUM
ejpam-6042	709	4	5	5	NUM
ejpam-6042	709	5	108577200	108577200	NUM
ejpam-6042	709	6	)	)	PUNCT
ejpam-6042	709	7	w4	w4	NOUN
ejpam-6042	709	8	+	+	CCONJ
ejpam-6042	709	9	(	(	PUNCT
ejpam-6042	709	10	−	−	PROPN
ejpam-6042	709	11	1019767	1019767	NUM
ejpam-6042	709	12	2035822500	2035822500	NUM
ejpam-6042	709	13	−	−	NOUN
ejpam-6042	709	14	214129	214129	NUM
ejpam-6042	709	15	√	√	NUM
ejpam-6042	709	16	5	5	NUM
ejpam-6042	709	17	1628658000	1628658000	NUM
ejpam-6042	709	18	)	)	PUNCT
ejpam-6042	709	19	w6	w6	PROPN
ejpam-6042	710	1	+	+	PROPN
ejpam-6042	710	2	(	(	PUNCT
ejpam-6042	710	3	−	−	PROPN
ejpam-6042	710	4	394695169	394695169	NUM
ejpam-6042	710	5	4560242400000	4560242400000	NUM
ejpam-6042	710	6	−	−	PROPN
ejpam-6042	710	7	163481333	163481333	NUM
ejpam-6042	710	8	√	√	PROPN
ejpam-6042	710	9	5	5	NUM
ejpam-6042	710	10	4560242400000	4560242400000	NUM
ejpam-6042	710	11	)	)	PUNCT
ejpam-6042	711	1	w8	w8	PROPN
ejpam-6042	711	2	+	+	NOUN
ejpam-6042	711	3	o	o	X
ejpam-6042	711	4	(	(	PUNCT
ejpam-6042	711	5	w10	w10	PROPN
ejpam-6042	711	6	)	)	PUNCT
ejpam-6042	711	7	,	,	PUNCT
ejpam-6042	711	8	ã21	ã21	PROPN
ejpam-6042	711	9	(	(	PUNCT
ejpam-6042	711	10	w	w	NOUN
ejpam-6042	711	11	)	)	PUNCT
ejpam-6042	711	12	=	=	SYM
ejpam-6042	711	13	3	3	NUM
ejpam-6042	711	14	20	20	NUM
ejpam-6042	711	15	+	+	CCONJ
ejpam-6042	711	16	√	√	NUM
ejpam-6042	711	17	5	5	NUM
ejpam-6042	711	18	20	20	NUM
ejpam-6042	711	19	+	+	CCONJ
ejpam-6042	711	20	(	(	PUNCT
ejpam-6042	711	21	−	−	PROPN
ejpam-6042	711	22	7	7	NUM
ejpam-6042	711	23	1200	1200	NUM
ejpam-6042	711	24	−	−	NOUN
ejpam-6042	711	25	√	√	NUM
ejpam-6042	711	26	5	5	NUM
ejpam-6042	711	27	400	400	NUM
ejpam-6042	711	28	)	)	PUNCT
ejpam-6042	711	29	w2	w2	NOUN
ejpam-6042	711	30	+	+	CCONJ
ejpam-6042	711	31	(	(	PUNCT
ejpam-6042	711	32	1	1	NUM
ejpam-6042	711	33	10000	10000	NUM
ejpam-6042	711	34	+	+	CCONJ
ejpam-6042	711	35	√	√	NUM
ejpam-6042	711	36	5	5	NUM
ejpam-6042	711	37	22500	22500	NUM
ejpam-6042	711	38	)	)	PUNCT
ejpam-6042	711	39	w4	w4	NOUN
ejpam-6042	711	40	+	+	CCONJ
ejpam-6042	711	41	(	(	PUNCT
ejpam-6042	711	42	−	−	PROPN
ejpam-6042	711	43	47	47	NUM
ejpam-6042	711	44	50400000	50400000	NUM
ejpam-6042	711	45	−	−	NOUN
ejpam-6042	711	46	√	√	ADV
ejpam-6042	711	47	5	5	NUM
ejpam-6042	711	48	2400000	2400000	NUM
ejpam-6042	711	49	)	)	PUNCT
ejpam-6042	712	1	w6	w6	PROPN
ejpam-6042	713	1	+	+	PROPN
ejpam-6042	713	2	(	(	PUNCT
ejpam-6042	713	3	41	41	NUM
ejpam-6042	713	4	7560000000	7560000000	NUM
ejpam-6042	713	5	+	+	CCONJ
ejpam-6042	713	6	11	11	NUM
ejpam-6042	713	7	√	√	NUM
ejpam-6042	713	8	5	5	NUM
ejpam-6042	713	9	4536000000	4536000000	NUM
ejpam-6042	713	10	)	)	PUNCT
ejpam-6042	714	1	w8	w8	PROPN
ejpam-6042	714	2	+	+	NOUN
ejpam-6042	714	3	o	o	X
ejpam-6042	714	4	(	(	PUNCT
ejpam-6042	714	5	w10	w10	PROPN
ejpam-6042	714	6	)	)	PUNCT
ejpam-6042	714	7	,	,	PUNCT
ejpam-6042	714	8	ã32	ã32	PROPN
ejpam-6042	714	9	(	(	PUNCT
ejpam-6042	714	10	w	w	X
ejpam-6042	714	11	)	)	PUNCT
ejpam-6042	714	12	=	=	SYM
ejpam-6042	715	1	3	3	NUM
ejpam-6042	715	2	20	20	NUM
ejpam-6042	715	3	−	−	NOUN
ejpam-6042	715	4	√	√	NUM
ejpam-6042	715	5	5	5	NUM
ejpam-6042	715	6	20	20	NUM
ejpam-6042	715	7	+	+	CCONJ
ejpam-6042	715	8	(	(	PUNCT
ejpam-6042	715	9	1	1	NUM
ejpam-6042	715	10	240	240	NUM
ejpam-6042	715	11	+	+	CCONJ
ejpam-6042	715	12	√	√	NUM
ejpam-6042	715	13	5	5	NUM
ejpam-6042	715	14	400	400	NUM
ejpam-6042	715	15	)	)	PUNCT
ejpam-6042	715	16	w2	w2	NOUN
ejpam-6042	715	17	+	+	CCONJ
ejpam-6042	715	18	(	(	PUNCT
ejpam-6042	715	19	11	11	NUM
ejpam-6042	715	20	10000	10000	NUM
ejpam-6042	715	21	+	+	CCONJ
ejpam-6042	715	22	41	41	NUM
ejpam-6042	715	23	√	√	NUM
ejpam-6042	715	24	5	5	NUM
ejpam-6042	715	25	90000	90000	NUM
ejpam-6042	715	26	)	)	PUNCT
ejpam-6042	715	27	w4	w4	NOUN
ejpam-6042	715	28	+	+	CCONJ
ejpam-6042	715	29	(	(	PUNCT
ejpam-6042	715	30	2281	2281	NUM
ejpam-6042	715	31	10080000	10080000	NUM
ejpam-6042	715	32	+	+	CCONJ
ejpam-6042	715	33	241	241	NUM
ejpam-6042	715	34	√	√	NUM
ejpam-6042	715	35	5	5	NUM
ejpam-6042	715	36	2400000	2400000	NUM
ejpam-6042	715	37	)	)	PUNCT
ejpam-6042	716	1	w6	w6	PROPN
ejpam-6042	716	2	+	+	PROPN
ejpam-6042	716	3	(	(	PUNCT
ejpam-6042	716	4	361961	361961	NUM
ejpam-6042	716	5	7560000000	7560000000	NUM
ejpam-6042	717	1	+	+	CCONJ
ejpam-6042	717	2	97009	97009	NUM
ejpam-6042	717	3	√	√	SYM
ejpam-6042	717	4	5	5	NUM
ejpam-6042	717	5	4536000000	4536000000	NUM
ejpam-6042	717	6	)	)	PUNCT
ejpam-6042	718	1	w8	w8	PROPN
ejpam-6042	718	2	+	+	NOUN
ejpam-6042	718	3	o	o	X
ejpam-6042	718	4	(	(	PUNCT
ejpam-6042	718	5	w10	w10	PROPN
ejpam-6042	718	6	)	)	PUNCT
ejpam-6042	718	7	,	,	PUNCT
ejpam-6042	718	8	χ̃2	χ̃2	PROPN
ejpam-6042	718	9	(	(	PUNCT
ejpam-6042	718	10	w	w	NOUN
ejpam-6042	718	11	)	)	PUNCT
ejpam-6042	718	12	=	=	SYM
ejpam-6042	719	1	1−	1−	NUM
ejpam-6042	719	2	1	1	NUM
ejpam-6042	719	3	600	600	NUM
ejpam-6042	719	4	(	(	PUNCT
ejpam-6042	719	5	5	5	NUM
ejpam-6042	719	6	+	+	CCONJ
ejpam-6042	719	7	√	√	NUM
ejpam-6042	719	8	5	5	NUM
ejpam-6042	719	9	)	)	SYM
ejpam-6042	719	10	2	2	NUM
ejpam-6042	719	11	w2	w2	NOUN
ejpam-6042	719	12	+	+	CCONJ
ejpam-6042	719	13	1	1	NUM
ejpam-6042	719	14	1200000	1200000	NUM
ejpam-6042	719	15	(	(	PUNCT
ejpam-6042	719	16	5	5	NUM
ejpam-6042	719	17	+	+	CCONJ
ejpam-6042	719	18	√	√	NUM
ejpam-6042	719	19	5	5	NUM
ejpam-6042	719	20	)	)	SYM
ejpam-6042	719	21	4	4	NUM
ejpam-6042	719	22	w4	w4	NOUN
ejpam-6042	719	23	−	−	PROPN
ejpam-6042	719	24	1	1	NUM
ejpam-6042	719	25	5040000000	5040000000	NUM
ejpam-6042	719	26	(	(	PUNCT
ejpam-6042	719	27	5	5	NUM
ejpam-6042	719	28	+	+	CCONJ
ejpam-6042	719	29	√	√	NUM
ejpam-6042	719	30	5	5	NUM
ejpam-6042	719	31	)	)	PUNCT
ejpam-6042	719	32	6	6	NUM
ejpam-6042	719	33	w6	w6	NOUN
ejpam-6042	719	34	+	+	CCONJ
ejpam-6042	719	35	1	1	NUM
ejpam-6042	719	36	36288000000000	36288000000000	NUM
ejpam-6042	719	37	(	(	PUNCT
ejpam-6042	719	38	5	5	NUM
ejpam-6042	719	39	+	+	CCONJ
ejpam-6042	719	40	√	√	NUM
ejpam-6042	719	41	5)8w8	5)8w8	NUM
ejpam-6042	719	42	+	+	NOUN
ejpam-6042	719	43	o	o	PROPN
ejpam-6042	719	44	(	(	PUNCT
ejpam-6042	719	45	w10	w10	PROPN
ejpam-6042	719	46	)	)	PUNCT
ejpam-6042	719	47	,	,	PUNCT
ejpam-6042	719	48	χ̃3	χ̃3	PROPN
ejpam-6042	719	49	(	(	PUNCT
ejpam-6042	719	50	w	w	NOUN
ejpam-6042	719	51	)	)	PUNCT
ejpam-6042	719	52	=	=	SYM
ejpam-6042	719	53	1	1	NUM
ejpam-6042	719	54	+	+	CCONJ
ejpam-6042	719	55	(	(	PUNCT
ejpam-6042	719	56	1	1	NUM
ejpam-6042	719	57	20	20	NUM
ejpam-6042	719	58	+	+	CCONJ
ejpam-6042	719	59	√	√	NUM
ejpam-6042	719	60	5	5	NUM
ejpam-6042	719	61	60	60	NUM
ejpam-6042	719	62	)	)	SYM
ejpam-6042	719	63	2	2	NUM
ejpam-6042	719	64	w2	w2	NOUN
ejpam-6042	719	65	+	+	CCONJ
ejpam-6042	719	66	(	(	PUNCT
ejpam-6042	719	67	−29	−29	VERB
ejpam-6042	719	68	√	√	NOUN
ejpam-6042	719	69	5−	5−	NUM
ejpam-6042	719	70	75	75	NUM
ejpam-6042	719	71	−15000	−15000	NOUN
ejpam-6042	719	72	+	+	CCONJ
ejpam-6042	719	73	3000	3000	NUM
ejpam-6042	719	74	√	√	NUM
ejpam-6042	719	75	5	5	NUM
ejpam-6042	719	76	)	)	PUNCT
ejpam-6042	719	77	w4	w4	NOUN
ejpam-6042	719	78	+	+	CCONJ
ejpam-6042	719	79	(	(	PUNCT
ejpam-6042	719	80	−683	−683	NOUN
ejpam-6042	719	81	√	√	PROPN
ejpam-6042	719	82	5−	5−	NUM
ejpam-6042	719	83	1560	1560	NUM
ejpam-6042	719	84	−1575000	−1575000	PROPN
ejpam-6042	719	85	+	+	CCONJ
ejpam-6042	719	86	315000	315000	NUM
ejpam-6042	719	87	√	√	NUM
ejpam-6042	719	88	5	5	NUM
ejpam-6042	719	89	)	)	PUNCT
ejpam-6042	719	90	w6	w6	PROPN
ejpam-6042	719	91	+	+	CCONJ
ejpam-6042	719	92	1	1	NUM
ejpam-6042	719	93	226800000	226800000	NUM
ejpam-6042	719	94	−105209	−105209	NOUN
ejpam-6042	719	95	√	√	NUM
ejpam-6042	719	96	5−	5−	NUM
ejpam-6042	719	97	235985	235985	NUM
ejpam-6042	719	98	−5	−5	ADP
ejpam-6042	720	1	+	+	CCONJ
ejpam-6042	720	2	√	√	NUM
ejpam-6042	720	3	5	5	NUM
ejpam-6042	720	4	w8	w8	NOUN
ejpam-6042	720	5	+	+	NOUN
ejpam-6042	720	6	o	o	X
ejpam-6042	720	7	(	(	PUNCT
ejpam-6042	720	8	w10	w10	PROPN
ejpam-6042	720	9	)	)	PUNCT
ejpam-6042	720	10	.	.	PUNCT
ejpam-6042	721	1	(	(	PUNCT
ejpam-6042	721	2	58	58	X
ejpam-6042	721	3	)	)	PUNCT
ejpam-6042	721	4	z.	z.	PROPN
ejpam-6042	721	5	sun	sun	PROPN
ejpam-6042	721	6	et	et	PROPN
ejpam-6042	721	7	al	al	PROPN
ejpam-6042	721	8	.	.	PUNCT
ejpam-6042	721	9	/	/	SYM
ejpam-6042	721	10	eur	eur	PROPN
ejpam-6042	721	11	.	.	PUNCT
ejpam-6042	722	1	j.	j.	PROPN
ejpam-6042	722	2	pure	pure	PROPN
ejpam-6042	722	3	appl	appl	PROPN
ejpam-6042	722	4	.	.	PROPN
ejpam-6042	722	5	math	math	PROPN
ejpam-6042	722	6	,	,	PUNCT
ejpam-6042	722	7	18	18	NUM
ejpam-6042	722	8	(	(	PUNCT
ejpam-6042	722	9	4	4	NUM
ejpam-6042	722	10	)	)	PUNCT
ejpam-6042	722	11	(	(	PUNCT
ejpam-6042	722	12	2025	2025	NUM
ejpam-6042	722	13	)	)	PUNCT
ejpam-6042	722	14	,	,	PUNCT
ejpam-6042	722	15	6042	6042	NUM
ejpam-6042	722	16	45	45	NUM
ejpam-6042	722	17	of	of	ADP
ejpam-6042	722	18	45	45	NUM
ejpam-6042	722	19	d̄2	d̄2	PROPN
ejpam-6042	722	20	(	(	PUNCT
ejpam-6042	722	21	w	w	PROPN
ejpam-6042	722	22	)	)	PUNCT
ejpam-6042	722	23	=	=	SYM
ejpam-6042	723	1	−	−	PROPN
ejpam-6042	723	2	√	√	NUM
ejpam-6042	723	3	5	5	NUM
ejpam-6042	723	4	48	48	NUM
ejpam-6042	724	1	+	+	CCONJ
ejpam-6042	724	2	1	1	NUM
ejpam-6042	724	3	16	16	NUM
ejpam-6042	724	4	+	+	CCONJ
ejpam-6042	724	5	(	(	PUNCT
ejpam-6042	724	6	√	√	NUM
ejpam-6042	724	7	5	5	NUM
ejpam-6042	724	8	504000	504000	NUM
ejpam-6042	724	9	−	−	NOUN
ejpam-6042	724	10	1	1	NUM
ejpam-6042	724	11	201600	201600	NUM
ejpam-6042	724	12	)	)	PUNCT
ejpam-6042	724	13	w4	w4	NOUN
ejpam-6042	724	14	+	+	CCONJ
ejpam-6042	724	15	(	(	PUNCT
ejpam-6042	724	16	−	−	PROPN
ejpam-6042	724	17	√	√	NOUN
ejpam-6042	724	18	5	5	NUM
ejpam-6042	724	19	181440000	181440000	NUM
ejpam-6042	724	20	−	−	NOUN
ejpam-6042	724	21	1	1	NUM
ejpam-6042	724	22	181440000	181440000	NUM
ejpam-6042	724	23	)	)	PUNCT
ejpam-6042	724	24	w6	w6	PROPN
ejpam-6042	725	1	+	+	PROPN
ejpam-6042	725	2	(	(	PUNCT
ejpam-6042	725	3	√	√	PROPN
ejpam-6042	725	4	5	5	NUM
ejpam-6042	725	5	66528000000	66528000000	NUM
ejpam-6042	725	6	−	−	NOUN
ejpam-6042	725	7	17	17	NUM
ejpam-6042	725	8	39916800000	39916800000	NUM
ejpam-6042	725	9	)	)	PUNCT
ejpam-6042	726	1	w8	w8	PROPN
ejpam-6042	726	2	+	+	NOUN
ejpam-6042	726	3	o	o	X
ejpam-6042	726	4	(	(	PUNCT
ejpam-6042	726	5	w10	w10	PROPN
ejpam-6042	726	6	)	)	PUNCT
ejpam-6042	726	7	,	,	PUNCT
ejpam-6042	726	8	d̄3	d̄3	X
ejpam-6042	726	9	(	(	PUNCT
ejpam-6042	726	10	w	w	NOUN
ejpam-6042	726	11	)	)	PUNCT
ejpam-6042	726	12	=	=	SYM
ejpam-6042	727	1	√	√	NUM
ejpam-6042	727	2	5	5	NUM
ejpam-6042	727	3	48	48	NUM
ejpam-6042	727	4	+	+	CCONJ
ejpam-6042	727	5	1	1	NUM
ejpam-6042	727	6	16	16	NUM
ejpam-6042	727	7	+	+	CCONJ
ejpam-6042	727	8	(	(	PUNCT
ejpam-6042	727	9	−	−	NUM
ejpam-6042	727	10	√	√	NUM
ejpam-6042	727	11	5	5	NUM
ejpam-6042	727	12	504000	504000	NUM
ejpam-6042	727	13	−	−	NOUN
ejpam-6042	727	14	1	1	NUM
ejpam-6042	727	15	201600	201600	NUM
ejpam-6042	727	16	)	)	PUNCT
ejpam-6042	727	17	w4	w4	NOUN
ejpam-6042	727	18	+	+	CCONJ
ejpam-6042	727	19	(	(	PUNCT
ejpam-6042	727	20	√	√	NUM
ejpam-6042	727	21	5	5	NUM
ejpam-6042	727	22	181440000	181440000	NUM
ejpam-6042	727	23	−	−	NOUN
ejpam-6042	727	24	1	1	NUM
ejpam-6042	727	25	181440000	181440000	NUM
ejpam-6042	727	26	)	)	PUNCT
ejpam-6042	727	27	w6	w6	PROPN
ejpam-6042	728	1	+	+	PROPN
ejpam-6042	728	2	(	(	PUNCT
ejpam-6042	728	3	−	−	PROPN
ejpam-6042	728	4	√	√	NUM
ejpam-6042	728	5	5	5	NUM
ejpam-6042	728	6	66528000000	66528000000	NUM
ejpam-6042	728	7	−	−	NOUN
ejpam-6042	728	8	17	17	NUM
ejpam-6042	728	9	39916800000	39916800000	NUM
ejpam-6042	728	10	)	)	PUNCT
ejpam-6042	729	1	w8	w8	PROPN
ejpam-6042	729	2	+	+	NOUN
ejpam-6042	729	3	o	o	X
ejpam-6042	729	4	(	(	PUNCT
ejpam-6042	729	5	w10	w10	PROPN
ejpam-6042	729	6	)	)	PUNCT
ejpam-6042	729	7	,	,	PUNCT
ejpam-6042	729	8	d̃2	d̃2	PROPN
ejpam-6042	729	9	(	(	PUNCT
ejpam-6042	729	10	w	w	NOUN
ejpam-6042	729	11	)	)	PUNCT
ejpam-6042	729	12	=	=	SYM
ejpam-6042	730	1	−	−	PROPN
ejpam-6042	730	2	√	√	NUM
ejpam-6042	730	3	5	5	NUM
ejpam-6042	730	4	24	24	NUM
ejpam-6042	730	5	+	+	CCONJ
ejpam-6042	730	6	5	5	NUM
ejpam-6042	730	7	24	24	NUM
ejpam-6042	730	8	+	+	CCONJ
ejpam-6042	730	9	1	1	NUM
ejpam-6042	730	10	252000	252000	NUM
ejpam-6042	730	11	√	√	NOUN
ejpam-6042	730	12	5w4	5w4	NUM
ejpam-6042	730	13	+	+	CCONJ
ejpam-6042	730	14	(	(	PUNCT
ejpam-6042	730	15	−	−	PROPN
ejpam-6042	730	16	√	√	NOUN
ejpam-6042	730	17	5	5	NUM
ejpam-6042	730	18	90720000	90720000	NUM
ejpam-6042	730	19	+	+	CCONJ
ejpam-6042	730	20	1	1	NUM
ejpam-6042	730	21	6048000	6048000	NUM
ejpam-6042	730	22	)	)	PUNCT
ejpam-6042	731	1	w6	w6	PROPN
ejpam-6042	731	2	+	+	CCONJ
ejpam-6042	731	3	(	(	PUNCT
ejpam-6042	731	4	√	√	NUM
ejpam-6042	731	5	5	5	NUM
ejpam-6042	731	6	33264000000	33264000000	NUM
ejpam-6042	731	7	+	+	CCONJ
ejpam-6042	731	8	1	1	NUM
ejpam-6042	731	9	362880000	362880000	NUM
ejpam-6042	731	10	)	)	PUNCT
ejpam-6042	732	1	w8	w8	PROPN
ejpam-6042	732	2	+	+	NOUN
ejpam-6042	732	3	o	o	X
ejpam-6042	732	4	(	(	PUNCT
ejpam-6042	732	5	w10	w10	PROPN
ejpam-6042	732	6	)	)	PUNCT
ejpam-6042	732	7	,	,	PUNCT
ejpam-6042	732	8	d̃3	d̃3	PROPN
ejpam-6042	732	9	(	(	PUNCT
ejpam-6042	732	10	w	w	NOUN
ejpam-6042	732	11	)	)	PUNCT
ejpam-6042	732	12	=	=	SYM
ejpam-6042	733	1	√	√	NUM
ejpam-6042	733	2	5	5	NUM
ejpam-6042	733	3	24	24	NUM
ejpam-6042	733	4	+	+	NUM
ejpam-6042	733	5	5	5	NUM
ejpam-6042	733	6	24	24	NUM
ejpam-6042	733	7	−	−	NOUN
ejpam-6042	733	8	1	1	NUM
ejpam-6042	733	9	252000	252000	NUM
ejpam-6042	733	10	√	√	ADP
ejpam-6042	733	11	5w4	5w4	NUM
ejpam-6042	734	1	+	+	CCONJ
ejpam-6042	734	2	(	(	PUNCT
ejpam-6042	734	3	√	√	NUM
ejpam-6042	734	4	5	5	NUM
ejpam-6042	734	5	90720000	90720000	NUM
ejpam-6042	734	6	+	+	CCONJ
ejpam-6042	734	7	1	1	NUM
ejpam-6042	734	8	6048000	6048000	NUM
ejpam-6042	734	9	)	)	PUNCT
ejpam-6042	735	1	w6	w6	PROPN
ejpam-6042	735	2	+	+	CCONJ
ejpam-6042	735	3	(	(	PUNCT
ejpam-6042	735	4	−	−	PROPN
ejpam-6042	735	5	√	√	NUM
ejpam-6042	735	6	5	5	NUM
ejpam-6042	735	7	33264000000	33264000000	NUM
ejpam-6042	735	8	+	+	CCONJ
ejpam-6042	735	9	1	1	NUM
ejpam-6042	735	10	362880000	362880000	NUM
ejpam-6042	735	11	)	)	PUNCT
ejpam-6042	736	1	w8	w8	PROPN
ejpam-6042	736	2	+	+	NOUN
ejpam-6042	736	3	o	o	X
ejpam-6042	736	4	(	(	PUNCT
ejpam-6042	736	5	w10	w10	PROPN
ejpam-6042	736	6	)	)	PUNCT
ejpam-6042	736	7	.	.	PUNCT
ejpam-6042	737	1	(	(	PUNCT
ejpam-6042	737	2	59	59	NUM
ejpam-6042	737	3	)	)	PUNCT