id	sid	tid	token	lemma	pos
ejpam-6281	1	1	european	european	PROPN
ejpam-6281	1	2	journal	journal	PROPN
ejpam-6281	1	3	of	of	ADP
ejpam-6281	1	4	pure	pure	ADJ
ejpam-6281	1	5	and	and	CCONJ
ejpam-6281	1	6	applied	applied	ADJ
ejpam-6281	1	7	mathematics	mathematic	NOUN
ejpam-6281	1	8	2025	2025	NUM
ejpam-6281	1	9	,	,	PUNCT
ejpam-6281	1	10	vol	vol	NOUN
ejpam-6281	1	11	.	.	PROPN
ejpam-6281	1	12	18	18	NUM
ejpam-6281	1	13	,	,	PUNCT
ejpam-6281	1	14	issue	issue	NOUN
ejpam-6281	1	15	3	3	NUM
ejpam-6281	1	16	,	,	PUNCT
ejpam-6281	1	17	article	article	NOUN
ejpam-6281	1	18	number	number	NOUN
ejpam-6281	1	19	6281	6281	NUM
ejpam-6281	1	20	issn	issn	PROPN
ejpam-6281	1	21	1307	1307	NUM
ejpam-6281	1	22	-	-	SYM
ejpam-6281	1	23	5543	5543	NUM
ejpam-6281	1	24	–	–	PUNCT
ejpam-6281	1	25	ejpam.com	ejpam.com	X
ejpam-6281	1	26	published	publish	VERB
ejpam-6281	1	27	by	by	ADP
ejpam-6281	1	28	new	new	PROPN
ejpam-6281	1	29	york	york	PROPN
ejpam-6281	1	30	business	business	PROPN
ejpam-6281	1	31	global	global	ADJ
ejpam-6281	1	32	applying	apply	VERB
ejpam-6281	1	33	lpa	lpa	PROPN
ejpam-6281	1	34	to	to	PART
ejpam-6281	1	35	analyze	analyze	VERB
ejpam-6281	1	36	the	the	DET
ejpam-6281	1	37	3d	3d	PROPN
ejpam-6281	1	38	motion	motion	NOUN
ejpam-6281	1	39	of	of	ADP
ejpam-6281	1	40	a	a	DET
ejpam-6281	1	41	symmetric	symmetric	ADJ
ejpam-6281	1	42	rigid	rigid	ADJ
ejpam-6281	1	43	body	body	NOUN
ejpam-6281	1	44	with	with	ADP
ejpam-6281	1	45	a	a	DET
ejpam-6281	1	46	large	large	ADJ
ejpam-6281	1	47	displacement	displacement	NOUN
ejpam-6281	1	48	of	of	ADP
ejpam-6281	1	49	a	a	DET
ejpam-6281	1	50	center	center	NOUN
ejpam-6281	1	51	of	of	ADP
ejpam-6281	1	52	mass	mass	NOUN
ejpam-6281	1	53	t.	t.	PROPN
ejpam-6281	1	54	s.	s.	PROPN
ejpam-6281	1	55	amer1,∗	amer1,∗	PROPN
ejpam-6281	1	56	,	,	PUNCT
ejpam-6281	1	57	a.	a.	NOUN
ejpam-6281	1	58	i.	i.	PROPN
ejpam-6281	1	59	ismail2	ismail2	PROPN
ejpam-6281	1	60	,	,	PUNCT
ejpam-6281	1	61	w.	w.	PROPN
ejpam-6281	1	62	s.	s.	PROPN
ejpam-6281	1	63	amer3	amer3	PROPN
ejpam-6281	1	64	,	,	PUNCT
ejpam-6281	1	65	h.	h.	PROPN
ejpam-6281	1	66	f.	f.	PROPN
ejpam-6281	1	67	el	el	PROPN
ejpam-6281	1	68	-	-	PUNCT
ejpam-6281	1	69	kafly4	kafly4	PROPN
ejpam-6281	1	70	1	1	NUM
ejpam-6281	1	71	mathematics	mathematics	PROPN
ejpam-6281	1	72	department	department	NOUN
ejpam-6281	1	73	,	,	PUNCT
ejpam-6281	1	74	faculty	faculty	NOUN
ejpam-6281	1	75	of	of	ADP
ejpam-6281	1	76	science	science	PROPN
ejpam-6281	1	77	,	,	PUNCT
ejpam-6281	1	78	tanta	tanta	PROPN
ejpam-6281	1	79	university	university	PROPN
ejpam-6281	1	80	,	,	PUNCT
ejpam-6281	1	81	tanta	tanta	PROPN
ejpam-6281	1	82	31527	31527	NUM
ejpam-6281	1	83	,	,	PUNCT
ejpam-6281	1	84	egypt	egypt	PROPN
ejpam-6281	1	85	2	2	NUM
ejpam-6281	1	86	mechanical	mechanical	ADJ
ejpam-6281	1	87	engineering	engineering	NOUN
ejpam-6281	1	88	department	department	NOUN
ejpam-6281	1	89	,	,	PUNCT
ejpam-6281	1	90	college	college	NOUN
ejpam-6281	1	91	of	of	ADP
ejpam-6281	1	92	engineering	engineering	NOUN
ejpam-6281	1	93	and	and	CCONJ
ejpam-6281	1	94	architecture	architecture	NOUN
ejpam-6281	1	95	,	,	PUNCT
ejpam-6281	1	96	umm	umm	INTJ
ejpam-6281	1	97	alqura	alqura	NOUN
ejpam-6281	1	98	university	university	PROPN
ejpam-6281	1	99	,	,	PUNCT
ejpam-6281	1	100	saudi	saudi	PROPN
ejpam-6281	1	101	arabia	arabia	PROPN
ejpam-6281	1	102	3	3	NUM
ejpam-6281	1	103	mathematics	mathematic	NOUN
ejpam-6281	1	104	and	and	CCONJ
ejpam-6281	1	105	computer	computer	NOUN
ejpam-6281	1	106	science	science	PROPN
ejpam-6281	1	107	department	department	PROPN
ejpam-6281	1	108	,	,	PUNCT
ejpam-6281	1	109	faculty	faculty	NOUN
ejpam-6281	1	110	of	of	ADP
ejpam-6281	1	111	science	science	NOUN
ejpam-6281	1	112	,	,	PUNCT
ejpam-6281	1	113	menoufia	menoufia	PROPN
ejpam-6281	1	114	university	university	PROPN
ejpam-6281	1	115	,	,	PUNCT
ejpam-6281	1	116	32511	32511	NUM
ejpam-6281	1	117	,	,	PUNCT
ejpam-6281	1	118	egypt	egypt	PROPN
ejpam-6281	1	119	4higher	4higher	PROPN
ejpam-6281	1	120	institute	institute	PROPN
ejpam-6281	1	121	of	of	ADP
ejpam-6281	1	122	engineering	engineering	NOUN
ejpam-6281	1	123	and	and	CCONJ
ejpam-6281	1	124	technology	technology	NOUN
ejpam-6281	1	125	,	,	PUNCT
ejpam-6281	1	126	tanta	tanta	PROPN
ejpam-6281	1	127	,	,	PUNCT
ejpam-6281	1	128	egypt	egypt	PROPN
ejpam-6281	1	129	abstract	abstract	PROPN
ejpam-6281	1	130	.	.	PUNCT
ejpam-6281	2	1	this	this	DET
ejpam-6281	2	2	study	study	NOUN
ejpam-6281	2	3	investigates	investigate	VERB
ejpam-6281	2	4	the	the	DET
ejpam-6281	2	5	3d	3d	PROPN
ejpam-6281	2	6	motion	motion	NOUN
ejpam-6281	2	7	of	of	ADP
ejpam-6281	2	8	a	a	DET
ejpam-6281	2	9	rigid	rigid	ADJ
ejpam-6281	2	10	body	body	NOUN
ejpam-6281	2	11	(	(	PUNCT
ejpam-6281	2	12	rb	rb	NOUN
ejpam-6281	2	13	)	)	PUNCT
ejpam-6281	2	14	rotating	rotate	VERB
ejpam-6281	2	15	around	around	ADP
ejpam-6281	2	16	a	a	DET
ejpam-6281	2	17	fixed	fix	VERB
ejpam-6281	2	18	point	point	NOUN
ejpam-6281	2	19	,	,	PUNCT
ejpam-6281	2	20	focusing	focus	VERB
ejpam-6281	2	21	on	on	ADP
ejpam-6281	2	22	lagrange	lagrange	PROPN
ejpam-6281	2	23	’s	’s	PART
ejpam-6281	2	24	case	case	NOUN
ejpam-6281	2	25	while	while	SCONJ
ejpam-6281	2	26	considering	consider	VERB
ejpam-6281	2	27	the	the	DET
ejpam-6281	2	28	effects	effect	NOUN
ejpam-6281	2	29	of	of	ADP
ejpam-6281	2	30	a	a	DET
ejpam-6281	2	31	gyrostatic	gyrostatic	ADJ
ejpam-6281	2	32	moment	moment	NOUN
ejpam-6281	2	33	(	(	PUNCT
ejpam-6281	2	34	gm	gm	PROPN
ejpam-6281	2	35	)	)	PUNCT
ejpam-6281	2	36	and	and	CCONJ
ejpam-6281	2	37	a	a	DET
ejpam-6281	2	38	newtonian	newtonian	ADJ
ejpam-6281	2	39	force	force	NOUN
ejpam-6281	2	40	field	field	NOUN
ejpam-6281	2	41	(	(	PUNCT
ejpam-6281	2	42	nff	nff	PROPN
ejpam-6281	2	43	)	)	PUNCT
ejpam-6281	2	44	.	.	PUNCT
ejpam-6281	3	1	it	it	PRON
ejpam-6281	3	2	is	be	AUX
ejpam-6281	3	3	notably	notably	ADV
ejpam-6281	3	4	that	that	SCONJ
ejpam-6281	3	5	the	the	DET
ejpam-6281	3	6	center	center	NOUN
ejpam-6281	3	7	of	of	ADP
ejpam-6281	3	8	mass	mass	NOUN
ejpam-6281	3	9	is	be	AUX
ejpam-6281	3	10	displaced	displace	VERB
ejpam-6281	3	11	very	very	ADV
ejpam-6281	3	12	much	much	ADV
ejpam-6281	3	13	from	from	ADP
ejpam-6281	3	14	the	the	DET
ejpam-6281	3	15	principal	principal	ADJ
ejpam-6281	3	16	dynamic	dynamic	ADJ
ejpam-6281	3	17	symmetry	symmetry	NOUN
ejpam-6281	3	18	axis	axis	NOUN
ejpam-6281	3	19	.	.	PUNCT
ejpam-6281	4	1	utilizing	utilize	VERB
ejpam-6281	4	2	the	the	DET
ejpam-6281	4	3	fundamental	fundamental	ADJ
ejpam-6281	4	4	principle	principle	NOUN
ejpam-6281	4	5	of	of	ADP
ejpam-6281	4	6	angular	angular	ADJ
ejpam-6281	4	7	momentum	momentum	NOUN
ejpam-6281	4	8	,	,	PUNCT
ejpam-6281	4	9	the	the	DET
ejpam-6281	4	10	equations	equation	NOUN
ejpam-6281	4	11	of	of	ADP
ejpam-6281	4	12	motion	motion	NOUN
ejpam-6281	4	13	(	(	PUNCT
ejpam-6281	4	14	eom	eom	NOUN
ejpam-6281	4	15	)	)	PUNCT
ejpam-6281	4	16	are	be	AUX
ejpam-6281	4	17	formulated	formulate	VERB
ejpam-6281	4	18	and	and	CCONJ
ejpam-6281	4	19	solved	solve	VERB
ejpam-6281	4	20	applying	apply	VERB
ejpam-6281	4	21	the	the	DET
ejpam-6281	4	22	large	large	ADJ
ejpam-6281	4	23	parameter	parameter	NOUN
ejpam-6281	4	24	approach	approach	NOUN
ejpam-6281	4	25	(	(	PUNCT
ejpam-6281	4	26	lpa	lpa	PROPN
ejpam-6281	4	27	)	)	PUNCT
ejpam-6281	4	28	to	to	PART
ejpam-6281	4	29	determine	determine	VERB
ejpam-6281	4	30	approximate	approximate	ADJ
ejpam-6281	4	31	solutions	solution	NOUN
ejpam-6281	4	32	(	(	PUNCT
ejpam-6281	4	33	as	as	ADP
ejpam-6281	4	34	)	)	PUNCT
ejpam-6281	4	35	for	for	ADP
ejpam-6281	4	36	the	the	DET
ejpam-6281	4	37	irrational	irrational	ADJ
ejpam-6281	4	38	frequencies	frequency	NOUN
ejpam-6281	4	39	’	'	PUNCT
ejpam-6281	4	40	case	case	NOUN
ejpam-6281	4	41	.	.	PUNCT
ejpam-6281	5	1	euler	euler	PROPN
ejpam-6281	5	2	’s	’s	PART
ejpam-6281	5	3	angles	angle	NOUN
ejpam-6281	5	4	,	,	PUNCT
ejpam-6281	5	5	which	which	PRON
ejpam-6281	5	6	define	define	VERB
ejpam-6281	5	7	the	the	DET
ejpam-6281	5	8	body	body	NOUN
ejpam-6281	5	9	’s	’s	PART
ejpam-6281	5	10	orientation	orientation	NOUN
ejpam-6281	5	11	at	at	ADP
ejpam-6281	5	12	any	any	DET
ejpam-6281	5	13	moment	moment	NOUN
ejpam-6281	5	14	,	,	PUNCT
ejpam-6281	5	15	are	be	AUX
ejpam-6281	5	16	explicitly	explicitly	ADV
ejpam-6281	5	17	calculated	calculate	VERB
ejpam-6281	5	18	.	.	PUNCT
ejpam-6281	6	1	additionally	additionally	ADV
ejpam-6281	6	2	,	,	PUNCT
ejpam-6281	6	3	to	to	PART
ejpam-6281	6	4	assess	assess	VERB
ejpam-6281	6	5	the	the	DET
ejpam-6281	6	6	impact	impact	NOUN
ejpam-6281	6	7	of	of	ADP
ejpam-6281	6	8	applied	apply	VERB
ejpam-6281	6	9	moments	moment	NOUN
ejpam-6281	6	10	on	on	ADP
ejpam-6281	6	11	motion	motion	NOUN
ejpam-6281	6	12	stability	stability	NOUN
ejpam-6281	6	13	,	,	PUNCT
ejpam-6281	6	14	we	we	PRON
ejpam-6281	6	15	utilize	utilize	VERB
ejpam-6281	6	16	advanced	advanced	ADJ
ejpam-6281	6	17	computational	computational	ADJ
ejpam-6281	6	18	tools	tool	NOUN
ejpam-6281	6	19	to	to	PART
ejpam-6281	6	20	generate	generate	VERB
ejpam-6281	6	21	graphical	graphical	ADJ
ejpam-6281	6	22	representations	representation	NOUN
ejpam-6281	6	23	of	of	ADP
ejpam-6281	6	24	the	the	DET
ejpam-6281	6	25	achieved	achieve	VERB
ejpam-6281	6	26	solutions	solution	NOUN
ejpam-6281	6	27	and	and	CCONJ
ejpam-6281	6	28	the	the	DET
ejpam-6281	6	29	related	relate	VERB
ejpam-6281	6	30	euler	euler	NOUN
ejpam-6281	6	31	’s	’s	PART
ejpam-6281	6	32	angles	angle	NOUN
ejpam-6281	6	33	.	.	PUNCT
ejpam-6281	7	1	this	this	DET
ejpam-6281	7	2	work	work	NOUN
ejpam-6281	7	3	enhances	enhance	VERB
ejpam-6281	7	4	the	the	DET
ejpam-6281	7	5	understanding	understanding	NOUN
ejpam-6281	7	6	of	of	ADP
ejpam-6281	7	7	rb	rb	NOUN
ejpam-6281	7	8	dynamics	dynamic	NOUN
ejpam-6281	7	9	in	in	ADP
ejpam-6281	7	10	complex	complex	ADJ
ejpam-6281	7	11	motion	motion	NOUN
ejpam-6281	7	12	scenarios	scenario	NOUN
ejpam-6281	7	13	,	,	PUNCT
ejpam-6281	7	14	emphasizing	emphasize	VERB
ejpam-6281	7	15	the	the	DET
ejpam-6281	7	16	interaction	interaction	NOUN
ejpam-6281	7	17	between	between	ADP
ejpam-6281	7	18	external	external	ADJ
ejpam-6281	7	19	forces	force	NOUN
ejpam-6281	7	20	and	and	CCONJ
ejpam-6281	7	21	gms	gms	NOUN
ejpam-6281	7	22	in	in	ADP
ejpam-6281	7	23	shaping	shape	VERB
ejpam-6281	7	24	stability	stability	NOUN
ejpam-6281	7	25	and	and	CCONJ
ejpam-6281	7	26	behavior	behavior	NOUN
ejpam-6281	7	27	.	.	PUNCT
ejpam-6281	8	1	the	the	DET
ejpam-6281	8	2	study	study	NOUN
ejpam-6281	8	3	is	be	AUX
ejpam-6281	8	4	poised	poise	VERB
ejpam-6281	8	5	to	to	PART
ejpam-6281	8	6	greatly	greatly	ADV
ejpam-6281	8	7	influence	influence	VERB
ejpam-6281	8	8	the	the	DET
ejpam-6281	8	9	aerospace	aerospace	NOUN
ejpam-6281	8	10	industry	industry	NOUN
ejpam-6281	8	11	by	by	ADP
ejpam-6281	8	12	advancing	advance	VERB
ejpam-6281	8	13	our	our	PRON
ejpam-6281	8	14	understanding	understanding	NOUN
ejpam-6281	8	15	of	of	ADP
ejpam-6281	8	16	rotational	rotational	ADJ
ejpam-6281	8	17	motion	motion	NOUN
ejpam-6281	8	18	and	and	CCONJ
ejpam-6281	8	19	the	the	DET
ejpam-6281	8	20	dynamics	dynamic	NOUN
ejpam-6281	8	21	of	of	ADP
ejpam-6281	8	22	celestial	celestial	ADJ
ejpam-6281	8	23	bodies	body	NOUN
ejpam-6281	8	24	,	,	PUNCT
ejpam-6281	8	25	with	with	ADP
ejpam-6281	8	26	direct	direct	ADJ
ejpam-6281	8	27	applications	application	NOUN
ejpam-6281	8	28	in	in	ADP
ejpam-6281	8	29	the	the	DET
ejpam-6281	8	30	design	design	NOUN
ejpam-6281	8	31	and	and	CCONJ
ejpam-6281	8	32	operation	operation	NOUN
ejpam-6281	8	33	of	of	ADP
ejpam-6281	8	34	spaceships	spaceship	NOUN
ejpam-6281	8	35	,	,	PUNCT
ejpam-6281	8	36	spacecraft	spacecraft	NOUN
ejpam-6281	8	37	,	,	PUNCT
ejpam-6281	8	38	and	and	CCONJ
ejpam-6281	8	39	satellites	satellite	NOUN
ejpam-6281	8	40	.	.	PUNCT
ejpam-6281	9	1	2020	2020	NUM
ejpam-6281	9	2	mathematics	mathematic	NOUN
ejpam-6281	9	3	subject	subject	NOUN
ejpam-6281	9	4	classifications	classification	NOUN
ejpam-6281	9	5	:	:	PUNCT
ejpam-6281	9	6	70e17	70e17	NUM
ejpam-6281	9	7	,	,	PUNCT
ejpam-6281	9	8	70k45	70k45	NUM
ejpam-6281	9	9	,	,	PUNCT
ejpam-6281	9	10	34e10	34e10	NUM
ejpam-6281	9	11	,	,	PUNCT
ejpam-6281	9	12	70f99	70f99	NOUN
ejpam-6281	9	13	key	key	ADJ
ejpam-6281	9	14	words	word	NOUN
ejpam-6281	9	15	and	and	CCONJ
ejpam-6281	9	16	phrases	phrase	NOUN
ejpam-6281	9	17	:	:	PUNCT
ejpam-6281	9	18	nonlinear	nonlinear	ADJ
ejpam-6281	9	19	dynamics	dynamic	NOUN
ejpam-6281	9	20	,	,	PUNCT
ejpam-6281	9	21	euler	euler	PROPN
ejpam-6281	9	22	’s	’s	PART
ejpam-6281	9	23	equations	equation	NOUN
ejpam-6281	9	24	,	,	PUNCT
ejpam-6281	9	25	gyrostatic	gyrostatic	ADJ
ejpam-6281	9	26	moment	moment	NOUN
ejpam-6281	9	27	,	,	PUNCT
ejpam-6281	9	28	perturbation	perturbation	NOUN
ejpam-6281	9	29	methods	method	NOUN
ejpam-6281	9	30	,	,	PUNCT
ejpam-6281	9	31	numerical	numerical	ADJ
ejpam-6281	9	32	analysis	analysis	NOUN
ejpam-6281	9	33	∗corresponding	∗corresponde	VERB
ejpam-6281	9	34	author	author	NOUN
ejpam-6281	9	35	.	.	PUNCT
ejpam-6281	10	1	doi	doi	NOUN
ejpam-6281	10	2	:	:	PUNCT
ejpam-6281	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6281	https://doi.org/10.29020/nybg.ejpam.v18i3.6281	PROPN
ejpam-6281	10	4	email	email	NOUN
ejpam-6281	10	5	addresses	address	NOUN
ejpam-6281	10	6	:	:	PUNCT
ejpam-6281	10	7	tarek.saleh@science.tanta.edu.eg	tarek.saleh@science.tanta.edu.eg	X
ejpam-6281	10	8	(	(	PUNCT
ejpam-6281	10	9	t.	t.	PROPN
ejpam-6281	10	10	s.	s.	PROPN
ejpam-6281	10	11	amer	amer	PROPN
ejpam-6281	10	12	)	)	PUNCT
ejpam-6281	10	13	,	,	PUNCT
ejpam-6281	10	14	aiismail@uqu.edu.sa	aiismail@uqu.edu.sa	PROPN
ejpam-6281	10	15	(	(	PUNCT
ejpam-6281	10	16	a.	a.	PROPN
ejpam-6281	10	17	i.	i.	PROPN
ejpam-6281	10	18	ismail	ismail	PROPN
ejpam-6281	10	19	)	)	PUNCT
ejpam-6281	10	20	,	,	PUNCT
ejpam-6281	10	21	drwaelamer@science.menofia.edu.eg	drwaelamer@science.menofia.edu.eg	ADJ
ejpam-6281	10	22	(	(	PUNCT
ejpam-6281	10	23	w.	w.	PROPN
ejpam-6281	10	24	s.	s.	PROPN
ejpam-6281	10	25	amer	amer	PROPN
ejpam-6281	10	26	)	)	PUNCT
ejpam-6281	10	27	,	,	PUNCT
ejpam-6281	10	28	heba	heba	PROPN
ejpam-6281	10	29	elkafly@yahoo.com	elkafly@yahoo.com	PROPN
ejpam-6281	11	1	(	(	PUNCT
ejpam-6281	11	2	h.	h.	PROPN
ejpam-6281	11	3	f.	f.	PROPN
ejpam-6281	11	4	el	el	PROPN
ejpam-6281	11	5	-	-	PUNCT
ejpam-6281	11	6	kafly	kafly	NOUN
ejpam-6281	11	7	)	)	PUNCT
ejpam-6281	11	8	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6281	12	1	1	1	NUM
ejpam-6281	12	2	copyright	copyright	NOUN
ejpam-6281	12	3	:	:	PUNCT
ejpam-6281	12	4	©	©	PROPN
ejpam-6281	12	5	2025	2025	NUM
ejpam-6281	12	6	the	the	DET
ejpam-6281	12	7	author(s	author(s	NOUN
ejpam-6281	12	8	)	)	PUNCT
ejpam-6281	12	9	.	.	PUNCT
ejpam-6281	13	1	(	(	PUNCT
ejpam-6281	13	2	cc	cc	NOUN
ejpam-6281	13	3	by	by	ADP
ejpam-6281	13	4	-	-	PUNCT
ejpam-6281	13	5	nc	nc	PROPN
ejpam-6281	13	6	4.0	4.0	NUM
ejpam-6281	13	7	)	)	PUNCT
ejpam-6281	13	8	t.	t.	PROPN
ejpam-6281	13	9	s.	s.	PROPN
ejpam-6281	13	10	amer	amer	PROPN
ejpam-6281	13	11	et	et	PROPN
ejpam-6281	13	12	al	al	PROPN
ejpam-6281	13	13	.	.	PUNCT
ejpam-6281	13	14	/	/	SYM
ejpam-6281	13	15	eur	eur	PROPN
ejpam-6281	13	16	.	.	PUNCT
ejpam-6281	14	1	j.	j.	PROPN
ejpam-6281	14	2	pure	pure	PROPN
ejpam-6281	14	3	appl	appl	PROPN
ejpam-6281	14	4	.	.	PROPN
ejpam-6281	14	5	math	math	PROPN
ejpam-6281	14	6	,	,	PUNCT
ejpam-6281	14	7	18	18	NUM
ejpam-6281	14	8	(	(	PUNCT
ejpam-6281	14	9	3	3	NUM
ejpam-6281	14	10	)	)	PUNCT
ejpam-6281	14	11	(	(	PUNCT
ejpam-6281	14	12	2025	2025	NUM
ejpam-6281	14	13	)	)	PUNCT
ejpam-6281	14	14	,	,	PUNCT
ejpam-6281	14	15	6281	6281	NUM
ejpam-6281	14	16	2	2	NUM
ejpam-6281	14	17	of	of	ADP
ejpam-6281	14	18	35	35	NUM
ejpam-6281	14	19	table	table	NOUN
ejpam-6281	14	20	1	1	NUM
ejpam-6281	14	21	:	:	PUNCT
ejpam-6281	14	22	list	list	NOUN
ejpam-6281	14	23	of	of	ADP
ejpam-6281	14	24	abbreviations	abbreviation	NOUN
ejpam-6281	14	25	and	and	CCONJ
ejpam-6281	14	26	famous	famous	ADJ
ejpam-6281	14	27	symbols	symbol	NOUN
ejpam-6281	14	28	.	.	PUNCT
ejpam-6281	15	1	rb	rb	PROPN
ejpam-6281	15	2	rigid	rigid	ADJ
ejpam-6281	15	3	body	body	NOUN
ejpam-6281	15	4	gm	gm	PROPN
ejpam-6281	15	5	gyrostatic	gyrostatic	ADJ
ejpam-6281	15	6	moment	moment	NOUN
ejpam-6281	15	7	nff	nff	PROPN
ejpam-6281	15	8	newtonian	newtonian	PROPN
ejpam-6281	15	9	force	force	PROPN
ejpam-6281	15	10	field	field	PROPN
ejpam-6281	15	11	eom	eom	PROPN
ejpam-6281	15	12	equations	equation	NOUN
ejpam-6281	15	13	of	of	ADP
ejpam-6281	15	14	motion	motion	NOUN
ejpam-6281	15	15	lpa	lpa	PROPN
ejpam-6281	15	16	large	large	ADJ
ejpam-6281	15	17	parameter	parameter	NOUN
ejpam-6281	15	18	approach	approach	NOUN
ejpam-6281	15	19	as	as	ADP
ejpam-6281	15	20	approximate	approximate	ADJ
ejpam-6281	15	21	solutions	solution	NOUN
ejpam-6281	15	22	des	des	X
ejpam-6281	15	23	differential	differential	PROPN
ejpam-6281	15	24	equations	equation	NOUN
ejpam-6281	15	25	oxy	oxy	PROPN
ejpam-6281	15	26	z	z	PROPN
ejpam-6281	15	27	fixed	fix	VERB
ejpam-6281	15	28	frame	frame	NOUN
ejpam-6281	15	29	oxyz	oxyz	VERB
ejpam-6281	15	30	rotating	rotate	VERB
ejpam-6281	15	31	frame	frame	NOUN
ejpam-6281	15	32	m	m	VERB
ejpam-6281	15	33	mass	mass	NOUN
ejpam-6281	15	34	of	of	ADP
ejpam-6281	15	35	the	the	DET
ejpam-6281	15	36	body	body	NOUN
ejpam-6281	15	37	λi	λi	ADP
ejpam-6281	15	38	gyrostatic	gyrostatic	ADJ
ejpam-6281	15	39	moment	moment	NOUN
ejpam-6281	15	40	vector	vector	NOUN
ejpam-6281	15	41	ω	ω	PROPN
ejpam-6281	15	42	=	=	SYM
ejpam-6281	15	43	(	(	PUNCT
ejpam-6281	15	44	p	p	X
ejpam-6281	15	45	,	,	PUNCT
ejpam-6281	15	46	q	q	ADJ
ejpam-6281	15	47	,	,	PUNCT
ejpam-6281	15	48	r	r	NOUN
ejpam-6281	15	49	)	)	PUNCT
ejpam-6281	15	50	the	the	DET
ejpam-6281	15	51	body′s	body′s	X
ejpam-6281	15	52	angular	angular	ADJ
ejpam-6281	15	53	velocity	velocity	NOUN
ejpam-6281	15	54	vector	vector	NOUN
ejpam-6281	15	55	i1	i1	PROPN
ejpam-6281	15	56	,	,	PUNCT
ejpam-6281	15	57	i2	i2	PROPN
ejpam-6281	15	58	,	,	PUNCT
ejpam-6281	15	59	i3	i3	NOUN
ejpam-6281	15	60	principal	principal	ADJ
ejpam-6281	15	61	moments	moment	NOUN
ejpam-6281	15	62	of	of	ADP
ejpam-6281	15	63	inertia	inertia	NOUN
ejpam-6281	15	64	ϵ	ϵ	X
ejpam-6281	15	65	large	large	ADJ
ejpam-6281	15	66	param	param	NOUN
ejpam-6281	15	67	1	1	NUM
ejpam-6281	15	68	.	.	PUNCT
ejpam-6281	15	69	introduction	introduction	NOUN
ejpam-6281	15	70	for	for	ADP
ejpam-6281	15	71	over	over	ADP
ejpam-6281	15	72	two	two	NUM
ejpam-6281	15	73	centuries	century	NOUN
ejpam-6281	15	74	,	,	PUNCT
ejpam-6281	15	75	the	the	DET
ejpam-6281	15	76	study	study	NOUN
ejpam-6281	15	77	of	of	ADP
ejpam-6281	15	78	a	a	DET
ejpam-6281	15	79	rb	rb	NOUN
ejpam-6281	15	80	dynamics	dynamic	NOUN
ejpam-6281	15	81	has	have	AUX
ejpam-6281	15	82	been	be	AUX
ejpam-6281	15	83	a	a	DET
ejpam-6281	15	84	focal	focal	ADJ
ejpam-6281	15	85	point	point	NOUN
ejpam-6281	15	86	of	of	ADP
ejpam-6281	15	87	research	research	NOUN
ejpam-6281	15	88	due	due	ADP
ejpam-6281	15	89	to	to	ADP
ejpam-6281	15	90	its	its	PRON
ejpam-6281	15	91	diverse	diverse	ADJ
ejpam-6281	15	92	real	real	ADJ
ejpam-6281	15	93	-	-	PUNCT
ejpam-6281	15	94	world	world	NOUN
ejpam-6281	15	95	applications	application	NOUN
ejpam-6281	15	96	.	.	PUNCT
ejpam-6281	16	1	gyroscopes	gyroscope	NOUN
ejpam-6281	16	2	,	,	PUNCT
ejpam-6281	16	3	for	for	ADP
ejpam-6281	16	4	example	example	NOUN
ejpam-6281	16	5	,	,	PUNCT
ejpam-6281	16	6	play	play	VERB
ejpam-6281	16	7	a	a	DET
ejpam-6281	16	8	critical	critical	ADJ
ejpam-6281	16	9	role	role	NOUN
ejpam-6281	16	10	in	in	ADP
ejpam-6281	16	11	stabilizing	stabilize	VERB
ejpam-6281	16	12	and	and	CCONJ
ejpam-6281	16	13	guiding	guide	VERB
ejpam-6281	16	14	the	the	DET
ejpam-6281	16	15	motion	motion	NOUN
ejpam-6281	16	16	of	of	ADP
ejpam-6281	16	17	aircraft	aircraft	NOUN
ejpam-6281	16	18	,	,	PUNCT
ejpam-6281	16	19	submarines	submarine	NOUN
ejpam-6281	16	20	,	,	PUNCT
ejpam-6281	16	21	and	and	CCONJ
ejpam-6281	16	22	spacecraft	spacecraft	NOUN
ejpam-6281	16	23	by	by	ADP
ejpam-6281	16	24	maintaining	maintain	VERB
ejpam-6281	16	25	balance	balance	NOUN
ejpam-6281	16	26	and	and	CCONJ
ejpam-6281	16	27	determining	determine	VERB
ejpam-6281	16	28	orientation	orientation	NOUN
ejpam-6281	16	29	.	.	PUNCT
ejpam-6281	17	1	the	the	DET
ejpam-6281	17	2	difficulty	difficulty	NOUN
ejpam-6281	17	3	of	of	ADP
ejpam-6281	17	4	the	the	DET
ejpam-6281	17	5	problem	problem	NOUN
ejpam-6281	17	6	is	be	AUX
ejpam-6281	17	7	influenced	influence	VERB
ejpam-6281	17	8	by	by	ADP
ejpam-6281	17	9	the	the	DET
ejpam-6281	17	10	initial	initial	ADJ
ejpam-6281	17	11	conditions	condition	NOUN
ejpam-6281	17	12	,	,	PUNCT
ejpam-6281	17	13	particularly	particularly	ADV
ejpam-6281	17	14	the	the	DET
ejpam-6281	17	15	initial	initial	ADJ
ejpam-6281	17	16	angular	angular	ADJ
ejpam-6281	17	17	velocity	velocity	NOUN
ejpam-6281	17	18	,	,	PUNCT
ejpam-6281	17	19	center	center	NOUN
ejpam-6281	17	20	of	of	ADP
ejpam-6281	17	21	mass	mass	NOUN
ejpam-6281	17	22	position	position	NOUN
ejpam-6281	17	23	,	,	PUNCT
ejpam-6281	17	24	and	and	CCONJ
ejpam-6281	17	25	principal	principal	ADJ
ejpam-6281	17	26	moments	moment	NOUN
ejpam-6281	17	27	of	of	ADP
ejpam-6281	17	28	inertia	inertia	NOUN
ejpam-6281	17	29	.	.	PUNCT
ejpam-6281	18	1	moreover	moreover	ADV
ejpam-6281	18	2	,	,	PUNCT
ejpam-6281	18	3	external	external	ADJ
ejpam-6281	18	4	factors	factor	NOUN
ejpam-6281	18	5	-	-	PUNCT
ejpam-6281	18	6	such	such	ADJ
ejpam-6281	18	7	as	as	ADP
ejpam-6281	18	8	gravitational	gravitational	ADJ
ejpam-6281	18	9	influences	influence	NOUN
ejpam-6281	18	10	from	from	ADP
ejpam-6281	18	11	various	various	ADJ
ejpam-6281	18	12	centers	center	NOUN
ejpam-6281	18	13	,	,	PUNCT
ejpam-6281	18	14	whether	whether	SCONJ
ejpam-6281	18	15	symmetric	symmetric	ADJ
ejpam-6281	18	16	or	or	CCONJ
ejpam-6281	18	17	asymmetric	asymmetric	ADJ
ejpam-6281	18	18	,	,	PUNCT
ejpam-6281	18	19	and	and	CCONJ
ejpam-6281	18	20	applied	apply	VERB
ejpam-6281	18	21	external	external	ADJ
ejpam-6281	18	22	moments	moment	NOUN
ejpam-6281	18	23	-	-	PUNCT
ejpam-6281	18	24	further	far	ADV
ejpam-6281	18	25	complicate	complicate	VERB
ejpam-6281	18	26	the	the	DET
ejpam-6281	18	27	analysis	analysis	NOUN
ejpam-6281	18	28	,	,	PUNCT
ejpam-6281	18	29	requiring	require	VERB
ejpam-6281	18	30	different	different	ADJ
ejpam-6281	18	31	mathematical	mathematical	ADJ
ejpam-6281	18	32	and	and	CCONJ
ejpam-6281	18	33	computational	computational	ADJ
ejpam-6281	18	34	approaches	approach	NOUN
ejpam-6281	18	35	tailored	tailor	VERB
ejpam-6281	18	36	to	to	ADP
ejpam-6281	18	37	specific	specific	ADJ
ejpam-6281	18	38	scenarios	scenario	NOUN
ejpam-6281	18	39	.	.	PUNCT
ejpam-6281	19	1	these	these	DET
ejpam-6281	19	2	issues	issue	NOUN
ejpam-6281	19	3	are	be	AUX
ejpam-6281	19	4	described	describe	VERB
ejpam-6281	19	5	by	by	ADP
ejpam-6281	19	6	the	the	DET
ejpam-6281	19	7	euler	euler	PROPN
ejpam-6281	19	8	-	-	PUNCT
ejpam-6281	19	9	poisson	poisson	NOUN
ejpam-6281	19	10	’s	’s	PART
ejpam-6281	19	11	equations	equation	NOUN
ejpam-6281	20	1	[	[	X
ejpam-6281	20	2	1	1	NUM
ejpam-6281	20	3	]	]	PUNCT
ejpam-6281	20	4	,	,	PUNCT
ejpam-6281	20	5	which	which	PRON
ejpam-6281	20	6	define	define	VERB
ejpam-6281	20	7	the	the	DET
ejpam-6281	20	8	body	body	NOUN
ejpam-6281	20	9	’s	’s	PART
ejpam-6281	20	10	angular	angular	ADJ
ejpam-6281	20	11	velocity	velocity	NOUN
ejpam-6281	20	12	and	and	CCONJ
ejpam-6281	20	13	orientation	orientation	NOUN
ejpam-6281	20	14	at	at	ADP
ejpam-6281	20	15	any	any	DET
ejpam-6281	20	16	given	give	VERB
ejpam-6281	20	17	time	time	NOUN
ejpam-6281	20	18	.	.	PUNCT
ejpam-6281	21	1	extensive	extensive	ADJ
ejpam-6281	21	2	research	research	NOUN
ejpam-6281	21	3	has	have	AUX
ejpam-6281	21	4	explored	explore	VERB
ejpam-6281	21	5	this	this	DET
ejpam-6281	21	6	topic	topic	NOUN
ejpam-6281	21	7	from	from	ADP
ejpam-6281	21	8	various	various	ADJ
ejpam-6281	21	9	perspectives	perspective	NOUN
ejpam-6281	22	1	[	[	X
ejpam-6281	22	2	2–17	2–17	NOUN
ejpam-6281	22	3	]	]	PUNCT
ejpam-6281	22	4	.	.	PUNCT
ejpam-6281	23	1	in	in	ADP
ejpam-6281	23	2	[	[	X
ejpam-6281	23	3	2	2	NUM
ejpam-6281	23	4	]	]	PUNCT
ejpam-6281	23	5	,	,	PUNCT
ejpam-6281	23	6	the	the	DET
ejpam-6281	23	7	motion	motion	NOUN
ejpam-6281	23	8	of	of	ADP
ejpam-6281	23	9	the	the	DET
ejpam-6281	23	10	rb	rb	NOUN
ejpam-6281	23	11	subjected	subject	VERB
ejpam-6281	23	12	to	to	ADP
ejpam-6281	23	13	a	a	DET
ejpam-6281	23	14	combination	combination	NOUN
ejpam-6281	23	15	of	of	ADP
ejpam-6281	23	16	gyroscopic	gyroscopic	NOUN
ejpam-6281	23	17	and	and	CCONJ
ejpam-6281	23	18	axisymmetric	axisymmetric	ADJ
ejpam-6281	23	19	potential	potential	ADJ
ejpam-6281	23	20	forces	force	NOUN
ejpam-6281	23	21	is	be	AUX
ejpam-6281	23	22	analyzed	analyze	VERB
ejpam-6281	23	23	,	,	PUNCT
ejpam-6281	23	24	with	with	ADP
ejpam-6281	23	25	two	two	NUM
ejpam-6281	23	26	integrals	integral	NOUN
ejpam-6281	23	27	of	of	ADP
ejpam-6281	23	28	the	the	DET
ejpam-6281	23	29	system	system	NOUN
ejpam-6281	23	30	provided	provide	VERB
ejpam-6281	23	31	.	.	PUNCT
ejpam-6281	24	1	in	in	ADP
ejpam-6281	24	2	[	[	X
ejpam-6281	24	3	3	3	NUM
ejpam-6281	24	4	]	]	PUNCT
ejpam-6281	24	5	,	,	PUNCT
ejpam-6281	24	6	the	the	DET
ejpam-6281	24	7	authors	author	NOUN
ejpam-6281	24	8	presented	present	VERB
ejpam-6281	24	9	a	a	DET
ejpam-6281	24	10	fourth	fourth	ADJ
ejpam-6281	24	11	integral	integral	ADJ
ejpam-6281	24	12	associated	associate	VERB
ejpam-6281	24	13	with	with	ADP
ejpam-6281	24	14	the	the	DET
ejpam-6281	24	15	rb	rb	NOUN
ejpam-6281	24	16	motion	motion	NOUN
ejpam-6281	24	17	around	around	ADP
ejpam-6281	24	18	a	a	DET
ejpam-6281	24	19	fixed	fix	VERB
ejpam-6281	24	20	point	point	NOUN
ejpam-6281	24	21	under	under	ADP
ejpam-6281	24	22	the	the	DET
ejpam-6281	24	23	influence	influence	NOUN
ejpam-6281	24	24	of	of	ADP
ejpam-6281	24	25	a	a	DET
ejpam-6281	24	26	gravitational	gravitational	ADJ
ejpam-6281	24	27	moment	moment	NOUN
ejpam-6281	24	28	.	.	PUNCT
ejpam-6281	25	1	exact	exact	ADJ
ejpam-6281	25	2	solutions	solution	NOUN
ejpam-6281	25	3	to	to	ADP
ejpam-6281	25	4	similar	similar	ADJ
ejpam-6281	25	5	problems	problem	NOUN
ejpam-6281	25	6	necessitate	necessitate	ADJ
ejpam-6281	25	7	a	a	DET
ejpam-6281	25	8	fundamental	fundamental	ADJ
ejpam-6281	25	9	fourth	fourth	ADJ
ejpam-6281	25	10	first	first	ADJ
ejpam-6281	25	11	integral	integral	ADJ
ejpam-6281	25	12	,	,	PUNCT
ejpam-6281	25	13	which	which	PRON
ejpam-6281	25	14	is	be	AUX
ejpam-6281	25	15	only	only	ADV
ejpam-6281	25	16	derived	derive	VERB
ejpam-6281	25	17	in	in	ADP
ejpam-6281	25	18	specific	specific	ADJ
ejpam-6281	25	19	well	well	ADV
ejpam-6281	25	20	-	-	PUNCT
ejpam-6281	25	21	known	know	VERB
ejpam-6281	25	22	cases	case	NOUN
ejpam-6281	25	23	,	,	PUNCT
ejpam-6281	25	24	such	such	ADJ
ejpam-6281	25	25	as	as	ADP
ejpam-6281	25	26	[	[	X
ejpam-6281	25	27	2–7	2–7	X
ejpam-6281	25	28	]	]	X
ejpam-6281	25	29	.	.	PUNCT
ejpam-6281	26	1	these	these	DET
ejpam-6281	26	2	cases	case	NOUN
ejpam-6281	26	3	depend	depend	VERB
ejpam-6281	26	4	on	on	ADP
ejpam-6281	26	5	the	the	DET
ejpam-6281	26	6	location	location	NOUN
ejpam-6281	26	7	of	of	ADP
ejpam-6281	26	8	the	the	DET
ejpam-6281	26	9	body	body	NOUN
ejpam-6281	26	10	’s	’s	PART
ejpam-6281	26	11	center	center	NOUN
ejpam-6281	26	12	of	of	ADP
ejpam-6281	26	13	mass	mass	NOUN
ejpam-6281	26	14	and	and	CCONJ
ejpam-6281	26	15	the	the	DET
ejpam-6281	26	16	values	value	NOUN
ejpam-6281	26	17	of	of	ADP
ejpam-6281	26	18	its	its	PRON
ejpam-6281	26	19	main	main	ADJ
ejpam-6281	26	20	moments	moment	NOUN
ejpam-6281	26	21	of	of	ADP
ejpam-6281	26	22	inertia	inertia	NOUN
ejpam-6281	26	23	.	.	PUNCT
ejpam-6281	27	1	in	in	ADP
ejpam-6281	27	2	[	[	X
ejpam-6281	27	3	8	8	NUM
ejpam-6281	27	4	]	]	PUNCT
ejpam-6281	27	5	and	and	CCONJ
ejpam-6281	27	6	[	[	X
ejpam-6281	27	7	9	9	NUM
ejpam-6281	27	8	]	]	PUNCT
ejpam-6281	27	9	,	,	PUNCT
ejpam-6281	27	10	the	the	DET
ejpam-6281	27	11	authors	author	NOUN
ejpam-6281	27	12	propose	propose	VERB
ejpam-6281	27	13	specific	specific	ADJ
ejpam-6281	27	14	conditions	condition	NOUN
ejpam-6281	27	15	for	for	ADP
ejpam-6281	27	16	solving	solve	VERB
ejpam-6281	27	17	the	the	DET
ejpam-6281	27	18	equations	equation	NOUN
ejpam-6281	27	19	of	of	ADP
ejpam-6281	27	20	euler	euler	NOUN
ejpam-6281	27	21	-	-	PUNCT
ejpam-6281	27	22	poisson	poisson	NOUN
ejpam-6281	27	23	and	and	CCONJ
ejpam-6281	27	24	simplify	simplify	VERB
ejpam-6281	27	25	them	they	PRON
ejpam-6281	27	26	by	by	ADP
ejpam-6281	27	27	transforming	transform	VERB
ejpam-6281	27	28	the	the	DET
ejpam-6281	27	29	system	system	NOUN
ejpam-6281	27	30	into	into	ADP
ejpam-6281	27	31	three	three	NUM
ejpam-6281	27	32	nonlinear	nonlinear	ADJ
ejpam-6281	27	33	differential	differential	ADJ
ejpam-6281	27	34	equations	equation	NOUN
ejpam-6281	27	35	(	(	PUNCT
ejpam-6281	27	36	des	des	PROPN
ejpam-6281	27	37	)	)	PUNCT
ejpam-6281	27	38	involving	involve	VERB
ejpam-6281	27	39	angular	angular	ADJ
ejpam-6281	27	40	velocity	velocity	NOUN
ejpam-6281	27	41	components	component	NOUN
ejpam-6281	27	42	.	.	PUNCT
ejpam-6281	28	1	in	in	ADP
ejpam-6281	28	2	[	[	X
ejpam-6281	28	3	10	10	NUM
ejpam-6281	28	4	]	]	PUNCT
ejpam-6281	28	5	,	,	PUNCT
ejpam-6281	28	6	an	an	DET
ejpam-6281	28	7	innovative	innovative	ADJ
ejpam-6281	28	8	method	method	NOUN
ejpam-6281	28	9	is	be	AUX
ejpam-6281	28	10	introduced	introduce	VERB
ejpam-6281	28	11	for	for	ADP
ejpam-6281	28	12	solving	solve	VERB
ejpam-6281	28	13	the	the	DET
ejpam-6281	28	14	euler	euler	NOUN
ejpam-6281	28	15	-	-	PUNCT
ejpam-6281	28	16	poisson	poisson	NOUN
ejpam-6281	28	17	system	system	NOUN
ejpam-6281	28	18	,	,	PUNCT
ejpam-6281	28	19	which	which	PRON
ejpam-6281	28	20	is	be	AUX
ejpam-6281	28	21	well	well	ADV
ejpam-6281	28	22	known	known	ADJ
ejpam-6281	28	23	for	for	ADP
ejpam-6281	28	24	its	its	PRON
ejpam-6281	28	25	analytical	analytical	ADJ
ejpam-6281	28	26	solution	solution	NOUN
ejpam-6281	28	27	challenges	challenge	NOUN
ejpam-6281	28	28	.	.	PUNCT
ejpam-6281	29	1	this	this	DET
ejpam-6281	29	2	new	new	ADJ
ejpam-6281	29	3	method	method	NOUN
ejpam-6281	29	4	effectively	effectively	ADV
ejpam-6281	29	5	overcomes	overcome	VERB
ejpam-6281	29	6	these	these	DET
ejpam-6281	29	7	difficulties	difficulty	NOUN
ejpam-6281	29	8	.	.	PUNCT
ejpam-6281	30	1	in	in	ADP
ejpam-6281	30	2	[	[	X
ejpam-6281	30	3	11	11	NUM
ejpam-6281	30	4	]	]	PUNCT
ejpam-6281	30	5	,	,	PUNCT
ejpam-6281	30	6	the	the	DET
ejpam-6281	30	7	dynamics	dynamic	NOUN
ejpam-6281	30	8	of	of	ADP
ejpam-6281	30	9	a	a	DET
ejpam-6281	30	10	charged	charge	VERB
ejpam-6281	30	11	the	the	DET
ejpam-6281	30	12	rb	rb	NOUN
ejpam-6281	30	13	rotating	rotate	VERB
ejpam-6281	30	14	about	about	ADP
ejpam-6281	30	15	a	a	DET
ejpam-6281	30	16	fixed	fix	VERB
ejpam-6281	30	17	point	point	NOUN
ejpam-6281	30	18	t.	t.	PROPN
ejpam-6281	30	19	s.	s.	PROPN
ejpam-6281	30	20	amer	amer	PROPN
ejpam-6281	30	21	et	et	PROPN
ejpam-6281	30	22	al	al	PROPN
ejpam-6281	30	23	.	.	PUNCT
ejpam-6281	30	24	/	/	SYM
ejpam-6281	30	25	eur	eur	PROPN
ejpam-6281	30	26	.	.	PUNCT
ejpam-6281	31	1	j.	j.	PROPN
ejpam-6281	31	2	pure	pure	PROPN
ejpam-6281	31	3	appl	appl	PROPN
ejpam-6281	31	4	.	.	PROPN
ejpam-6281	31	5	math	math	PROPN
ejpam-6281	31	6	,	,	PUNCT
ejpam-6281	31	7	18	18	NUM
ejpam-6281	31	8	(	(	PUNCT
ejpam-6281	31	9	3	3	NUM
ejpam-6281	31	10	)	)	PUNCT
ejpam-6281	31	11	(	(	PUNCT
ejpam-6281	31	12	2025	2025	NUM
ejpam-6281	31	13	)	)	PUNCT
ejpam-6281	31	14	,	,	PUNCT
ejpam-6281	31	15	6281	6281	NUM
ejpam-6281	31	16	3	3	NUM
ejpam-6281	31	17	of	of	ADP
ejpam-6281	31	18	35	35	NUM
ejpam-6281	31	19	with	with	ADP
ejpam-6281	31	20	a	a	DET
ejpam-6281	31	21	rotor	rotor	NOUN
ejpam-6281	31	22	attached	attach	VERB
ejpam-6281	31	23	along	along	ADP
ejpam-6281	31	24	a	a	DET
ejpam-6281	31	25	principal	principal	ADJ
ejpam-6281	31	26	axis	axis	NOUN
ejpam-6281	31	27	are	be	AUX
ejpam-6281	31	28	examined	examine	VERB
ejpam-6281	31	29	.	.	PUNCT
ejpam-6281	32	1	the	the	DET
ejpam-6281	32	2	study	study	NOUN
ejpam-6281	32	3	evaluates	evaluate	VERB
ejpam-6281	32	4	sufficient	sufficient	ADJ
ejpam-6281	32	5	conditions	condition	NOUN
ejpam-6281	32	6	for	for	ADP
ejpam-6281	32	7	equilibrium	equilibrium	NOUN
ejpam-6281	32	8	instability	instability	NOUN
ejpam-6281	32	9	using	use	VERB
ejpam-6281	32	10	the	the	DET
ejpam-6281	32	11	method	method	NOUN
ejpam-6281	32	12	of	of	ADP
ejpam-6281	32	13	linear	linear	PROPN
ejpam-6281	32	14	approximation	approximation	NOUN
ejpam-6281	32	15	.	.	PUNCT
ejpam-6281	33	1	in	in	ADP
ejpam-6281	33	2	[	[	X
ejpam-6281	33	3	12	12	NUM
ejpam-6281	33	4	]	]	PUNCT
ejpam-6281	33	5	,	,	PUNCT
ejpam-6281	33	6	the	the	DET
ejpam-6281	33	7	spatial	spatial	ADJ
ejpam-6281	33	8	rotational	rotational	ADJ
ejpam-6281	33	9	motion	motion	NOUN
ejpam-6281	33	10	of	of	ADP
ejpam-6281	33	11	a	a	DET
ejpam-6281	33	12	charged	charge	VERB
ejpam-6281	33	13	symmetric	symmetric	NOUN
ejpam-6281	33	14	the	the	DET
ejpam-6281	33	15	rb	rb	NOUN
ejpam-6281	33	16	about	about	ADP
ejpam-6281	33	17	a	a	DET
ejpam-6281	33	18	stationary	stationary	ADJ
ejpam-6281	33	19	point	point	NOUN
ejpam-6281	33	20	is	be	AUX
ejpam-6281	33	21	analyzed	analyze	VERB
ejpam-6281	33	22	,	,	PUNCT
ejpam-6281	33	23	resembling	resemble	VERB
ejpam-6281	33	24	lagrange	lagrange	NOUN
ejpam-6281	33	25	’s	’s	PART
ejpam-6281	33	26	formulation	formulation	NOUN
ejpam-6281	33	27	,	,	PUNCT
ejpam-6281	33	28	where	where	SCONJ
ejpam-6281	33	29	the	the	DET
ejpam-6281	33	30	center	center	NOUN
ejpam-6281	33	31	of	of	ADP
ejpam-6281	33	32	mass	mass	NOUN
ejpam-6281	33	33	is	be	AUX
ejpam-6281	33	34	displaced	displace	VERB
ejpam-6281	33	35	slightly	slightly	ADV
ejpam-6281	33	36	from	from	ADP
ejpam-6281	33	37	the	the	DET
ejpam-6281	33	38	body	body	NOUN
ejpam-6281	33	39	’s	’s	PART
ejpam-6281	33	40	dynamic	dynamic	ADJ
ejpam-6281	33	41	symmetry	symmetry	NOUN
ejpam-6281	33	42	axis	axis	NOUN
ejpam-6281	33	43	.	.	PUNCT
ejpam-6281	34	1	in	in	ADP
ejpam-6281	34	2	[	[	X
ejpam-6281	34	3	13	13	NUM
ejpam-6281	34	4	]	]	PUNCT
ejpam-6281	34	5	,	,	PUNCT
ejpam-6281	34	6	the	the	DET
ejpam-6281	34	7	rotational	rotational	ADJ
ejpam-6281	34	8	motion	motion	NOUN
ejpam-6281	34	9	of	of	ADP
ejpam-6281	34	10	asymmetric	asymmetric	ADJ
ejpam-6281	34	11	the	the	DET
ejpam-6281	34	12	rb	rb	NOUN
ejpam-6281	34	13	influenced	influence	VERB
ejpam-6281	34	14	by	by	ADP
ejpam-6281	34	15	stationary	stationary	ADJ
ejpam-6281	34	16	torques	torque	NOUN
ejpam-6281	34	17	in	in	ADP
ejpam-6281	34	18	its	its	PRON
ejpam-6281	34	19	body	body	NOUN
ejpam-6281	34	20	-	-	PUNCT
ejpam-6281	34	21	fixed	fix	VERB
ejpam-6281	34	22	frame	frame	NOUN
ejpam-6281	34	23	,	,	PUNCT
ejpam-6281	34	24	directed	direct	VERB
ejpam-6281	34	25	on	on	ADP
ejpam-6281	34	26	the	the	DET
ejpam-6281	34	27	first	first	ADJ
ejpam-6281	34	28	component	component	NOUN
ejpam-6281	34	29	of	of	ADP
ejpam-6281	34	30	the	the	DET
ejpam-6281	34	31	gravitational	gravitational	ADJ
ejpam-6281	34	32	moment	moment	NOUN
ejpam-6281	34	33	,	,	PUNCT
ejpam-6281	34	34	is	be	AUX
ejpam-6281	34	35	analyzed	analyze	VERB
ejpam-6281	34	36	.	.	PUNCT
ejpam-6281	35	1	the	the	DET
ejpam-6281	35	2	study	study	NOUN
ejpam-6281	35	3	presents	present	VERB
ejpam-6281	35	4	analytical	analytical	ADJ
ejpam-6281	35	5	results	result	NOUN
ejpam-6281	35	6	and	and	CCONJ
ejpam-6281	35	7	simulations	simulation	NOUN
ejpam-6281	35	8	for	for	ADP
ejpam-6281	35	9	two	two	NUM
ejpam-6281	35	10	scenarios	scenario	NOUN
ejpam-6281	35	11	,	,	PUNCT
ejpam-6281	35	12	where	where	SCONJ
ejpam-6281	35	13	a	a	DET
ejpam-6281	35	14	constant	constant	ADJ
ejpam-6281	35	15	torque	torque	NOUN
ejpam-6281	35	16	is	be	AUX
ejpam-6281	35	17	applied	apply	VERB
ejpam-6281	35	18	along	along	ADP
ejpam-6281	35	19	the	the	DET
ejpam-6281	35	20	middle	middle	ADJ
ejpam-6281	35	21	and	and	CCONJ
ejpam-6281	35	22	minor	minor	ADJ
ejpam-6281	35	23	axes	axis	NOUN
ejpam-6281	35	24	.	.	PUNCT
ejpam-6281	36	1	the	the	DET
ejpam-6281	36	2	results	result	NOUN
ejpam-6281	36	3	are	be	AUX
ejpam-6281	36	4	interpreted	interpret	VERB
ejpam-6281	36	5	through	through	ADP
ejpam-6281	36	6	separatrix	separatrix	NOUN
ejpam-6281	36	7	surfaces	surface	NOUN
ejpam-6281	36	8	,	,	PUNCT
ejpam-6281	36	9	periodic	periodic	ADJ
ejpam-6281	36	10	and	and	CCONJ
ejpam-6281	36	11	nonperiodic	nonperiodic	ADJ
ejpam-6281	36	12	solutions	solution	NOUN
ejpam-6281	36	13	,	,	PUNCT
ejpam-6281	36	14	equilibrium	equilibrium	NOUN
ejpam-6281	36	15	manifolds	manifold	NOUN
ejpam-6281	36	16	,	,	PUNCT
ejpam-6281	36	17	and	and	CCONJ
ejpam-6281	36	18	the	the	DET
ejpam-6281	36	19	extreme	extreme	ADJ
ejpam-6281	36	20	values	value	NOUN
ejpam-6281	36	21	of	of	ADP
ejpam-6281	36	22	periodic	periodic	ADJ
ejpam-6281	36	23	solutions	solution	NOUN
ejpam-6281	36	24	.	.	PUNCT
ejpam-6281	37	1	the	the	DET
ejpam-6281	37	2	studies	study	NOUN
ejpam-6281	37	3	in	in	ADP
ejpam-6281	37	4	[	[	X
ejpam-6281	37	5	14	14	NUM
ejpam-6281	37	6	]	]	PUNCT
ejpam-6281	37	7	and	and	CCONJ
ejpam-6281	37	8	[	[	X
ejpam-6281	37	9	15	15	NUM
ejpam-6281	37	10	]	]	PUNCT
ejpam-6281	37	11	focus	focus	NOUN
ejpam-6281	37	12	on	on	ADP
ejpam-6281	37	13	the	the	DET
ejpam-6281	37	14	motion	motion	NOUN
ejpam-6281	37	15	of	of	ADP
ejpam-6281	37	16	a	a	DET
ejpam-6281	37	17	rotating	rotate	VERB
ejpam-6281	37	18	gyro	gyro	NOUN
ejpam-6281	37	19	about	about	ADP
ejpam-6281	37	20	a	a	DET
ejpam-6281	37	21	fixed	fix	VERB
ejpam-6281	37	22	point	point	NOUN
ejpam-6281	37	23	,	,	PUNCT
ejpam-6281	37	24	analyzed	analyze	VERB
ejpam-6281	37	25	using	use	VERB
ejpam-6281	37	26	lagrange	lagrange	NOUN
ejpam-6281	37	27	-	-	PUNCT
ejpam-6281	37	28	like	like	ADJ
ejpam-6281	37	29	criteria	criterion	NOUN
ejpam-6281	37	30	.	.	PUNCT
ejpam-6281	38	1	by	by	ADP
ejpam-6281	38	2	applying	apply	VERB
ejpam-6281	38	3	the	the	DET
ejpam-6281	38	4	averaging	averaging	NOUN
ejpam-6281	38	5	method	method	NOUN
ejpam-6281	38	6	,	,	PUNCT
ejpam-6281	38	7	a	a	DET
ejpam-6281	38	8	simplified	simplified	ADJ
ejpam-6281	38	9	averaged	average	VERB
ejpam-6281	38	10	system	system	NOUN
ejpam-6281	38	11	for	for	ADP
ejpam-6281	38	12	the	the	DET
ejpam-6281	38	13	eom	eom	PROPN
ejpam-6281	38	14	is	be	AUX
ejpam-6281	38	15	derived	derive	VERB
ejpam-6281	38	16	,	,	PUNCT
ejpam-6281	38	17	taking	take	VERB
ejpam-6281	38	18	into	into	ADP
ejpam-6281	38	19	account	account	NOUN
ejpam-6281	38	20	a	a	DET
ejpam-6281	38	21	small	small	ADJ
ejpam-6281	38	22	parameter	parameter	NOUN
ejpam-6281	38	23	.	.	PUNCT
ejpam-6281	39	1	this	this	DET
ejpam-6281	39	2	approach	approach	NOUN
ejpam-6281	39	3	yields	yield	NOUN
ejpam-6281	39	4	as	as	ADP
ejpam-6281	39	5	for	for	ADP
ejpam-6281	39	6	two	two	NUM
ejpam-6281	39	7	scenarios	scenario	NOUN
ejpam-6281	39	8	involving	involve	VERB
ejpam-6281	39	9	different	different	ADJ
ejpam-6281	39	10	perturbing	perturbing	NOUN
ejpam-6281	39	11	moments	moment	NOUN
ejpam-6281	39	12	.	.	PUNCT
ejpam-6281	40	1	the	the	DET
ejpam-6281	40	2	author	author	NOUN
ejpam-6281	40	3	in	in	ADP
ejpam-6281	40	4	[	[	X
ejpam-6281	40	5	16	16	NUM
ejpam-6281	40	6	]	]	PUNCT
ejpam-6281	40	7	further	far	ADV
ejpam-6281	40	8	explored	explore	VERB
ejpam-6281	40	9	the	the	DET
ejpam-6281	40	10	rotational	rotational	ADJ
ejpam-6281	40	11	behavior	behavior	NOUN
ejpam-6281	40	12	of	of	ADP
ejpam-6281	40	13	a	a	DET
ejpam-6281	40	14	symmetric	symmetric	ADJ
ejpam-6281	40	15	gravitational	gravitational	ADJ
ejpam-6281	40	16	moment	moment	NOUN
ejpam-6281	40	17	near	near	ADP
ejpam-6281	40	18	lagrange	lagrange	PROPN
ejpam-6281	40	19	’s	’s	PART
ejpam-6281	40	20	case	case	NOUN
ejpam-6281	40	21	,	,	PUNCT
ejpam-6281	40	22	considering	consider	VERB
ejpam-6281	40	23	the	the	DET
ejpam-6281	40	24	effects	effect	NOUN
ejpam-6281	40	25	of	of	ADP
ejpam-6281	40	26	a	a	DET
ejpam-6281	40	27	perturbed	perturb	VERB
ejpam-6281	40	28	torque	torque	NOUN
ejpam-6281	40	29	vector	vector	NOUN
ejpam-6281	40	30	,	,	PUNCT
ejpam-6281	40	31	the	the	DET
ejpam-6281	40	32	third	third	ADJ
ejpam-6281	40	33	projection	projection	NOUN
ejpam-6281	40	34	of	of	ADP
ejpam-6281	40	35	a	a	DET
ejpam-6281	40	36	gravitational	gravitational	ADJ
ejpam-6281	40	37	moment	moment	NOUN
ejpam-6281	40	38	,	,	PUNCT
ejpam-6281	40	39	and	and	CCONJ
ejpam-6281	40	40	a	a	DET
ejpam-6281	40	41	restoring	restore	VERB
ejpam-6281	40	42	torque	torque	NOUN
ejpam-6281	40	43	vector	vector	NOUN
ejpam-6281	40	44	.	.	PUNCT
ejpam-6281	41	1	in	in	ADP
ejpam-6281	41	2	[	[	X
ejpam-6281	41	3	17	17	NUM
ejpam-6281	41	4	]	]	PUNCT
ejpam-6281	41	5	,	,	PUNCT
ejpam-6281	41	6	the	the	DET
ejpam-6281	41	7	pspm	pspm	NOUN
ejpam-6281	41	8	is	be	AUX
ejpam-6281	41	9	employed	employ	VERB
ejpam-6281	41	10	to	to	PART
ejpam-6281	41	11	obtain	obtain	VERB
ejpam-6281	41	12	as	as	ADP
ejpam-6281	41	13	for	for	ADP
ejpam-6281	41	14	the	the	DET
ejpam-6281	41	15	motion	motion	NOUN
ejpam-6281	41	16	of	of	ADP
ejpam-6281	41	17	the	the	DET
ejpam-6281	41	18	rb	rb	NOUN
ejpam-6281	41	19	in	in	ADP
ejpam-6281	41	20	a	a	DET
ejpam-6281	41	21	nff	nff	PROPN
ejpam-6281	41	22	.	.	PUNCT
ejpam-6281	42	1	perturbation	perturbation	NOUN
ejpam-6281	42	2	methods	method	NOUN
ejpam-6281	42	3	are	be	AUX
ejpam-6281	42	4	highly	highly	ADV
ejpam-6281	42	5	effective	effective	ADJ
ejpam-6281	42	6	in	in	ADP
ejpam-6281	42	7	obtaining	obtain	VERB
ejpam-6281	42	8	as	as	ADP
ejpam-6281	42	9	for	for	ADP
ejpam-6281	42	10	similar	similar	ADJ
ejpam-6281	42	11	problems	problem	NOUN
ejpam-6281	42	12	;	;	PUNCT
ejpam-6281	42	13	refer	refer	VERB
ejpam-6281	42	14	to	to	ADP
ejpam-6281	42	15	monographs	monograph	NOUN
ejpam-6281	42	16	[	[	X
ejpam-6281	42	17	18–33]for	18–33]for	NUM
ejpam-6281	42	18	more	more	ADJ
ejpam-6281	42	19	details	detail	NOUN
ejpam-6281	42	20	,	,	PUNCT
ejpam-6281	42	21	the	the	DET
ejpam-6281	42	22	krylov	krylov	NOUN
ejpam-6281	42	23	-	-	PUNCT
ejpam-6281	42	24	bogoliubov	bogoliubov	NOUN
ejpam-6281	42	25	-	-	PUNCT
ejpam-6281	42	26	mitropolski	mitropolski	NOUN
ejpam-6281	42	27	technique	technique	NOUN
ejpam-6281	42	28	is	be	AUX
ejpam-6281	42	29	extensively	extensively	ADV
ejpam-6281	42	30	utilized	utilize	VERB
ejpam-6281	42	31	in	in	ADP
ejpam-6281	42	32	[	[	X
ejpam-6281	42	33	18	18	NUM
ejpam-6281	42	34	]	]	PUNCT
ejpam-6281	42	35	to	to	PART
ejpam-6281	42	36	derive	derive	VERB
ejpam-6281	42	37	as	as	ADP
ejpam-6281	42	38	for	for	ADP
ejpam-6281	42	39	the	the	DET
ejpam-6281	42	40	eom	eom	PROPN
ejpam-6281	42	41	of	of	ADP
ejpam-6281	42	42	a	a	DET
ejpam-6281	42	43	rb	rb	X
ejpam-6281	42	44	’s	’s	PART
ejpam-6281	42	45	motion	motion	NOUN
ejpam-6281	42	46	in	in	ADP
ejpam-6281	42	47	a	a	DET
ejpam-6281	42	48	gravitational	gravitational	ADJ
ejpam-6281	42	49	field	field	NOUN
ejpam-6281	42	50	.	.	PUNCT
ejpam-6281	43	1	however	however	ADV
ejpam-6281	43	2	,	,	PUNCT
ejpam-6281	43	3	these	these	DET
ejpam-6281	43	4	solutions	solution	NOUN
ejpam-6281	43	5	include	include	VERB
ejpam-6281	43	6	singular	singular	ADJ
ejpam-6281	43	7	points	point	NOUN
ejpam-6281	43	8	,	,	PUNCT
ejpam-6281	43	9	which	which	PRON
ejpam-6281	43	10	are	be	AUX
ejpam-6281	43	11	addressed	address	VERB
ejpam-6281	43	12	in	in	ADP
ejpam-6281	43	13	[	[	X
ejpam-6281	43	14	19	19	NUM
ejpam-6281	43	15	]	]	PUNCT
ejpam-6281	43	16	.	.	PUNCT
ejpam-6281	44	1	in	in	ADP
ejpam-6281	44	2	[	[	X
ejpam-6281	44	3	20–25	20–25	NUM
ejpam-6281	44	4	]	]	PUNCT
ejpam-6281	44	5	,	,	PUNCT
ejpam-6281	44	6	the	the	DET
ejpam-6281	44	7	averaging	averaging	NOUN
ejpam-6281	44	8	approach	approach	NOUN
ejpam-6281	44	9	is	be	AUX
ejpam-6281	44	10	utilized	utilize	VERB
ejpam-6281	44	11	to	to	PART
ejpam-6281	44	12	derive	derive	VERB
ejpam-6281	44	13	an	an	DET
ejpam-6281	44	14	averaged	average	VERB
ejpam-6281	44	15	system	system	NOUN
ejpam-6281	44	16	for	for	ADP
ejpam-6281	44	17	the	the	DET
ejpam-6281	44	18	motion	motion	NOUN
ejpam-6281	44	19	of	of	ADP
ejpam-6281	44	20	a	a	DET
ejpam-6281	44	21	symmetric	symmetric	ADJ
ejpam-6281	44	22	rb	rb	NOUN
ejpam-6281	44	23	from	from	ADP
ejpam-6281	44	24	different	different	ADJ
ejpam-6281	44	25	perspectives	perspective	NOUN
ejpam-6281	44	26	.	.	PUNCT
ejpam-6281	45	1	this	this	DET
ejpam-6281	45	2	method	method	NOUN
ejpam-6281	45	3	is	be	AUX
ejpam-6281	45	4	particularly	particularly	ADV
ejpam-6281	45	5	effective	effective	ADJ
ejpam-6281	45	6	in	in	ADP
ejpam-6281	45	7	solving	solve	VERB
ejpam-6281	45	8	the	the	DET
ejpam-6281	45	9	system	system	NOUN
ejpam-6281	45	10	when	when	SCONJ
ejpam-6281	45	11	the	the	DET
ejpam-6281	45	12	body	body	NOUN
ejpam-6281	45	13	rotates	rotate	VERB
ejpam-6281	45	14	in	in	ADP
ejpam-6281	45	15	a	a	DET
ejpam-6281	45	16	uniform	uniform	ADJ
ejpam-6281	45	17	field	field	NOUN
ejpam-6281	45	18	[	[	X
ejpam-6281	45	19	20	20	NUM
ejpam-6281	45	20	,	,	PUNCT
ejpam-6281	45	21	21	21	NUM
ejpam-6281	45	22	]	]	PUNCT
ejpam-6281	45	23	,	,	PUNCT
ejpam-6281	45	24	experiences	experience	VERB
ejpam-6281	45	25	the	the	DET
ejpam-6281	45	26	gm	gm	PROPN
ejpam-6281	46	1	[	[	X
ejpam-6281	46	2	22	22	NUM
ejpam-6281	46	3	,	,	PUNCT
ejpam-6281	46	4	23	23	NUM
ejpam-6281	46	5	]	]	PUNCT
ejpam-6281	46	6	,	,	PUNCT
ejpam-6281	46	7	or	or	CCONJ
ejpam-6281	46	8	involves	involve	VERB
ejpam-6281	46	9	a	a	DET
ejpam-6281	46	10	charged	charge	VERB
ejpam-6281	46	11	body	body	NOUN
ejpam-6281	46	12	[	[	X
ejpam-6281	46	13	24	24	NUM
ejpam-6281	46	14	,	,	PUNCT
ejpam-6281	46	15	25	25	NUM
ejpam-6281	46	16	]	]	PUNCT
ejpam-6281	46	17	.	.	PUNCT
ejpam-6281	47	1	additionally	additionally	ADV
ejpam-6281	47	2	,	,	PUNCT
ejpam-6281	47	3	in	in	ADP
ejpam-6281	47	4	[	[	X
ejpam-6281	47	5	26	26	NUM
ejpam-6281	47	6	]	]	PUNCT
ejpam-6281	47	7	,	,	PUNCT
ejpam-6281	47	8	this	this	DET
ejpam-6281	47	9	approach	approach	NOUN
ejpam-6281	47	10	is	be	AUX
ejpam-6281	47	11	applied	apply	VERB
ejpam-6281	47	12	when	when	SCONJ
ejpam-6281	47	13	the	the	DET
ejpam-6281	47	14	center	center	NOUN
ejpam-6281	47	15	of	of	ADP
ejpam-6281	47	16	mass	mass	NOUN
ejpam-6281	47	17	is	be	AUX
ejpam-6281	47	18	offset	offset	VERB
ejpam-6281	47	19	slightly	slightly	ADV
ejpam-6281	47	20	from	from	ADP
ejpam-6281	47	21	the	the	DET
ejpam-6281	47	22	axis	axis	NOUN
ejpam-6281	47	23	of	of	ADP
ejpam-6281	47	24	dynamic	dynamic	ADJ
ejpam-6281	47	25	symmetry	symmetry	NOUN
ejpam-6281	47	26	.	.	PUNCT
ejpam-6281	48	1	the	the	DET
ejpam-6281	48	2	lpa	lpa	PROPN
ejpam-6281	48	3	plays	play	VERB
ejpam-6281	48	4	a	a	DET
ejpam-6281	48	5	crucial	crucial	ADJ
ejpam-6281	48	6	role	role	NOUN
ejpam-6281	48	7	in	in	ADP
ejpam-6281	48	8	studying	study	VERB
ejpam-6281	48	9	symmetric	symmetric	ADJ
ejpam-6281	48	10	rigid	rigid	ADJ
ejpam-6281	48	11	bodies	body	NOUN
ejpam-6281	48	12	experiencing	experience	VERB
ejpam-6281	48	13	significant	significant	ADJ
ejpam-6281	48	14	rotational	rotational	ADJ
ejpam-6281	48	15	or	or	CCONJ
ejpam-6281	48	16	translational	translational	ADJ
ejpam-6281	48	17	displacements	displacement	NOUN
ejpam-6281	48	18	.	.	PUNCT
ejpam-6281	49	1	by	by	ADP
ejpam-6281	49	2	defining	define	VERB
ejpam-6281	49	3	a	a	DET
ejpam-6281	49	4	dominant	dominant	ADJ
ejpam-6281	49	5	parameter	parameter	NOUN
ejpam-6281	49	6	that	that	PRON
ejpam-6281	49	7	characterizes	characterize	VERB
ejpam-6281	49	8	the	the	DET
ejpam-6281	49	9	motion	motion	NOUN
ejpam-6281	49	10	’s	’s	PART
ejpam-6281	49	11	scale	scale	NOUN
ejpam-6281	49	12	,	,	PUNCT
ejpam-6281	49	13	as	as	SCONJ
ejpam-6281	49	14	can	can	AUX
ejpam-6281	49	15	be	be	AUX
ejpam-6281	49	16	developed	develop	VERB
ejpam-6281	49	17	to	to	PART
ejpam-6281	49	18	describe	describe	VERB
ejpam-6281	49	19	the	the	DET
ejpam-6281	49	20	system	system	NOUN
ejpam-6281	49	21	’s	’s	PART
ejpam-6281	49	22	core	core	NOUN
ejpam-6281	49	23	dynamics	dynamic	NOUN
ejpam-6281	49	24	.	.	PUNCT
ejpam-6281	50	1	this	this	DET
ejpam-6281	50	2	method	method	NOUN
ejpam-6281	50	3	has	have	AUX
ejpam-6281	50	4	been	be	AUX
ejpam-6281	50	5	widely	widely	ADV
ejpam-6281	50	6	applied	apply	VERB
ejpam-6281	50	7	in	in	ADP
ejpam-6281	50	8	fields	field	NOUN
ejpam-6281	50	9	such	such	ADJ
ejpam-6281	50	10	as	as	ADP
ejpam-6281	50	11	celestial	celestial	ADJ
ejpam-6281	50	12	mechanics	mechanic	NOUN
ejpam-6281	50	13	,	,	PUNCT
ejpam-6281	50	14	robotics	robotic	NOUN
ejpam-6281	50	15	,	,	PUNCT
ejpam-6281	50	16	and	and	CCONJ
ejpam-6281	50	17	structural	structural	ADJ
ejpam-6281	50	18	mechanics	mechanic	NOUN
ejpam-6281	50	19	,	,	PUNCT
ejpam-6281	50	20	where	where	SCONJ
ejpam-6281	50	21	large	large	ADJ
ejpam-6281	50	22	displacements	displacement	NOUN
ejpam-6281	50	23	significantly	significantly	ADV
ejpam-6281	50	24	impact	impact	VERB
ejpam-6281	50	25	system	system	NOUN
ejpam-6281	50	26	behavior	behavior	NOUN
ejpam-6281	50	27	.	.	PUNCT
ejpam-6281	51	1	in	in	ADP
ejpam-6281	51	2	[	[	X
ejpam-6281	51	3	27	27	NUM
ejpam-6281	51	4	,	,	PUNCT
ejpam-6281	51	5	28	28	NUM
ejpam-6281	51	6	]	]	PUNCT
ejpam-6281	51	7	,	,	PUNCT
ejpam-6281	51	8	the	the	DET
ejpam-6281	51	9	problem	problem	NOUN
ejpam-6281	51	10	of	of	ADP
ejpam-6281	51	11	large	large	ADJ
ejpam-6281	51	12	rb	rb	NOUN
ejpam-6281	51	13	displacements	displacement	NOUN
ejpam-6281	51	14	is	be	AUX
ejpam-6281	51	15	examined	examine	VERB
ejpam-6281	51	16	as	as	ADP
ejpam-6281	51	17	a	a	DET
ejpam-6281	51	18	fundamental	fundamental	ADJ
ejpam-6281	51	19	challenge	challenge	NOUN
ejpam-6281	51	20	in	in	ADP
ejpam-6281	51	21	classical	classical	ADJ
ejpam-6281	51	22	mechanics	mechanic	NOUN
ejpam-6281	51	23	and	and	CCONJ
ejpam-6281	51	24	engineering	engineering	NOUN
ejpam-6281	51	25	,	,	PUNCT
ejpam-6281	51	26	particularly	particularly	ADV
ejpam-6281	51	27	in	in	ADP
ejpam-6281	51	28	relation	relation	NOUN
ejpam-6281	51	29	to	to	ADP
ejpam-6281	51	30	nonlinear	nonlinear	ADJ
ejpam-6281	51	31	dynamics	dynamic	NOUN
ejpam-6281	51	32	and	and	CCONJ
ejpam-6281	51	33	stability	stability	NOUN
ejpam-6281	51	34	.	.	PUNCT
ejpam-6281	52	1	the	the	DET
ejpam-6281	52	2	asymptotic	asymptotic	ADJ
ejpam-6281	52	3	approach	approach	NOUN
ejpam-6281	52	4	based	base	VERB
ejpam-6281	52	5	on	on	ADP
ejpam-6281	52	6	lpa	lpa	PROPN
ejpam-6281	52	7	serves	serve	VERB
ejpam-6281	52	8	as	as	ADP
ejpam-6281	52	9	an	an	DET
ejpam-6281	52	10	effective	effective	ADJ
ejpam-6281	52	11	analytical	analytical	ADJ
ejpam-6281	52	12	tool	tool	NOUN
ejpam-6281	52	13	when	when	SCONJ
ejpam-6281	52	14	traditional	traditional	ADJ
ejpam-6281	52	15	perturbation	perturbation	NOUN
ejpam-6281	52	16	methods	method	NOUN
ejpam-6281	52	17	are	be	AUX
ejpam-6281	52	18	insufficient	insufficient	ADJ
ejpam-6281	52	19	due	due	ADP
ejpam-6281	52	20	to	to	ADP
ejpam-6281	52	21	strong	strong	ADJ
ejpam-6281	52	22	nonlinearities	nonlinearitie	NOUN
ejpam-6281	52	23	.	.	PUNCT
ejpam-6281	53	1	the	the	DET
ejpam-6281	53	2	presented	present	VERB
ejpam-6281	53	3	works	work	VERB
ejpam-6281	53	4	in	in	ADP
ejpam-6281	53	5	[	[	X
ejpam-6281	53	6	29–31	29–31	NUM
ejpam-6281	53	7	]	]	PUNCT
ejpam-6281	53	8	center	center	NOUN
ejpam-6281	53	9	broadly	broadly	ADV
ejpam-6281	53	10	on	on	ADP
ejpam-6281	53	11	the	the	DET
ejpam-6281	53	12	field	field	NOUN
ejpam-6281	53	13	of	of	ADP
ejpam-6281	53	14	dynamics	dynamic	NOUN
ejpam-6281	53	15	,	,	PUNCT
ejpam-6281	53	16	with	with	ADP
ejpam-6281	53	17	a	a	DET
ejpam-6281	53	18	particular	particular	ADJ
ejpam-6281	53	19	emphasis	emphasis	NOUN
ejpam-6281	53	20	on	on	ADP
ejpam-6281	53	21	the	the	DET
ejpam-6281	53	22	motion	motion	NOUN
ejpam-6281	53	23	of	of	ADP
ejpam-6281	53	24	rigid	rigid	ADJ
ejpam-6281	53	25	bodies	body	NOUN
ejpam-6281	53	26	.	.	PUNCT
ejpam-6281	54	1	it	it	PRON
ejpam-6281	54	2	covers	cover	VERB
ejpam-6281	54	3	the	the	DET
ejpam-6281	54	4	core	core	ADJ
ejpam-6281	54	5	principles	principle	NOUN
ejpam-6281	54	6	of	of	ADP
ejpam-6281	54	7	analytical	analytical	ADJ
ejpam-6281	54	8	dynamics	dynamic	NOUN
ejpam-6281	54	9	,	,	PUNCT
ejpam-6281	54	10	spacecraft	spacecraft	NOUN
ejpam-6281	54	11	attitude	attitude	NOUN
ejpam-6281	54	12	dynamics	dynamic	NOUN
ejpam-6281	54	13	,	,	PUNCT
ejpam-6281	54	14	robotics	robotic	NOUN
ejpam-6281	54	15	mechanics	mechanic	NOUN
ejpam-6281	54	16	,	,	PUNCT
ejpam-6281	54	17	perturbation	perturbation	NOUN
ejpam-6281	54	18	techniques	technique	NOUN
ejpam-6281	54	19	for	for	ADP
ejpam-6281	54	20	finding	find	VERB
ejpam-6281	54	21	as	as	ADP
ejpam-6281	54	22	,	,	PUNCT
ejpam-6281	54	23	and	and	CCONJ
ejpam-6281	54	24	numerical	numerical	ADJ
ejpam-6281	54	25	methods	method	NOUN
ejpam-6281	54	26	for	for	ADP
ejpam-6281	54	27	solving	solve	VERB
ejpam-6281	54	28	the	the	DET
ejpam-6281	54	29	governing	govern	VERB
ejpam-6281	54	30	des	des	PROPN
ejpam-6281	54	31	.	.	PROPN
ejpam-6281	55	1	in	in	ADP
ejpam-6281	55	2	[	[	X
ejpam-6281	55	3	32	32	NUM
ejpam-6281	55	4	,	,	PUNCT
ejpam-6281	55	5	33	33	NUM
ejpam-6281	55	6	]	]	PUNCT
ejpam-6281	55	7	,	,	PUNCT
ejpam-6281	55	8	the	the	DET
ejpam-6281	55	9	authors	author	NOUN
ejpam-6281	55	10	solved	solve	VERB
ejpam-6281	55	11	euler	euler	PROPN
ejpam-6281	55	12	’s	’s	PART
ejpam-6281	55	13	equations	equation	NOUN
ejpam-6281	55	14	using	use	VERB
ejpam-6281	55	15	three	three	NUM
ejpam-6281	55	16	novel	novel	ADJ
ejpam-6281	55	17	approaches	approach	NOUN
ejpam-6281	55	18	to	to	PART
ejpam-6281	55	19	analyze	analyze	VERB
ejpam-6281	55	20	the	the	DET
ejpam-6281	55	21	rotational	rotational	ADJ
ejpam-6281	55	22	motion	motion	NOUN
ejpam-6281	55	23	of	of	ADP
ejpam-6281	55	24	a	a	DET
ejpam-6281	55	25	charged	charge	VERB
ejpam-6281	55	26	rb	rb	NOUN
ejpam-6281	55	27	about	about	ADP
ejpam-6281	55	28	a	a	DET
ejpam-6281	55	29	fixed	fix	VERB
ejpam-6281	55	30	point	point	NOUN
ejpam-6281	55	31	under	under	ADP
ejpam-6281	55	32	the	the	DET
ejpam-6281	55	33	influence	influence	NOUN
ejpam-6281	55	34	of	of	ADP
ejpam-6281	55	35	gm	gm	PROPN
ejpam-6281	55	36	.	.	PUNCT
ejpam-6281	56	1	whereas	whereas	SCONJ
ejpam-6281	56	2	in	in	ADP
ejpam-6281	56	3	[	[	X
ejpam-6281	56	4	34	34	NUM
ejpam-6281	56	5	]	]	PUNCT
ejpam-6281	56	6	,	,	PUNCT
ejpam-6281	56	7	the	the	DET
ejpam-6281	56	8	authors	author	NOUN
ejpam-6281	56	9	derived	derive	VERB
ejpam-6281	56	10	the	the	DET
ejpam-6281	56	11	angular	angular	ADJ
ejpam-6281	56	12	velocity	velocity	NOUN
ejpam-6281	56	13	solutions	solution	NOUN
ejpam-6281	56	14	for	for	ADP
ejpam-6281	56	15	a	a	DET
ejpam-6281	56	16	rb	rb	NOUN
ejpam-6281	56	17	model	model	NOUN
ejpam-6281	56	18	,	,	PUNCT
ejpam-6281	56	19	similar	similar	ADJ
ejpam-6281	56	20	to	to	ADP
ejpam-6281	56	21	the	the	DET
ejpam-6281	56	22	lagrange	lagrange	NOUN
ejpam-6281	56	23	’s	’s	PART
ejpam-6281	56	24	scenario	scenario	NOUN
ejpam-6281	56	25	t.	t.	PROPN
ejpam-6281	56	26	s.	s.	PROPN
ejpam-6281	56	27	amer	amer	PROPN
ejpam-6281	56	28	et	et	PROPN
ejpam-6281	56	29	al	al	PROPN
ejpam-6281	56	30	.	.	PUNCT
ejpam-6281	56	31	/	/	SYM
ejpam-6281	56	32	eur	eur	PROPN
ejpam-6281	56	33	.	.	PUNCT
ejpam-6281	57	1	j.	j.	PROPN
ejpam-6281	57	2	pure	pure	PROPN
ejpam-6281	57	3	appl	appl	PROPN
ejpam-6281	57	4	.	.	PROPN
ejpam-6281	57	5	math	math	PROPN
ejpam-6281	57	6	,	,	PUNCT
ejpam-6281	57	7	18	18	NUM
ejpam-6281	57	8	(	(	PUNCT
ejpam-6281	57	9	3	3	NUM
ejpam-6281	57	10	)	)	PUNCT
ejpam-6281	57	11	(	(	PUNCT
ejpam-6281	57	12	2025	2025	NUM
ejpam-6281	57	13	)	)	PUNCT
ejpam-6281	57	14	,	,	PUNCT
ejpam-6281	57	15	6281	6281	NUM
ejpam-6281	57	16	4	4	NUM
ejpam-6281	57	17	of	of	ADP
ejpam-6281	57	18	35	35	NUM
ejpam-6281	57	19	with	with	ADP
ejpam-6281	57	20	constant	constant	ADJ
ejpam-6281	57	21	torque	torque	NOUN
ejpam-6281	57	22	and	and	CCONJ
ejpam-6281	57	23	gm	gm	PROPN
ejpam-6281	57	24	,	,	PUNCT
ejpam-6281	57	25	by	by	ADP
ejpam-6281	57	26	decoupling	decouple	VERB
ejpam-6281	57	27	the	the	DET
ejpam-6281	57	28	eom	eom	NOUN
ejpam-6281	57	29	and	and	CCONJ
ejpam-6281	57	30	expressing	express	VERB
ejpam-6281	57	31	them	they	PRON
ejpam-6281	57	32	in	in	ADP
ejpam-6281	57	33	complex	complex	ADJ
ejpam-6281	57	34	form	form	NOUN
ejpam-6281	57	35	.	.	PUNCT
ejpam-6281	58	1	in	in	ADP
ejpam-6281	58	2	[	[	X
ejpam-6281	58	3	35	35	NUM
ejpam-6281	58	4	]	]	PUNCT
ejpam-6281	58	5	,	,	PUNCT
ejpam-6281	58	6	the	the	DET
ejpam-6281	58	7	authors	author	NOUN
ejpam-6281	58	8	demonstrate	demonstrate	VERB
ejpam-6281	58	9	the	the	DET
ejpam-6281	58	10	influence	influence	NOUN
ejpam-6281	58	11	of	of	ADP
ejpam-6281	58	12	gms	gms	NOUN
ejpam-6281	58	13	and	and	CCONJ
ejpam-6281	58	14	the	the	DET
ejpam-6281	58	15	electromagnetic	electromagnetic	ADJ
ejpam-6281	58	16	field	field	NOUN
ejpam-6281	58	17	on	on	ADP
ejpam-6281	58	18	the	the	DET
ejpam-6281	58	19	body	body	NOUN
ejpam-6281	58	20	’s	’s	PART
ejpam-6281	58	21	motion	motion	NOUN
ejpam-6281	58	22	.	.	PUNCT
ejpam-6281	59	1	in	in	ADP
ejpam-6281	59	2	[	[	X
ejpam-6281	59	3	36	36	NUM
ejpam-6281	59	4	]	]	PUNCT
ejpam-6281	59	5	,	,	PUNCT
ejpam-6281	59	6	the	the	DET
ejpam-6281	59	7	averaging	averaging	NOUN
ejpam-6281	59	8	technique	technique	NOUN
ejpam-6281	59	9	is	be	AUX
ejpam-6281	59	10	used	use	VERB
ejpam-6281	59	11	to	to	PART
ejpam-6281	59	12	obtain	obtain	VERB
ejpam-6281	59	13	the	the	DET
ejpam-6281	59	14	averaging	averaging	NOUN
ejpam-6281	59	15	system	system	NOUN
ejpam-6281	59	16	of	of	ADP
ejpam-6281	59	17	the	the	DET
ejpam-6281	59	18	eom	eom	PROPN
ejpam-6281	59	19	for	for	ADP
ejpam-6281	59	20	a	a	DET
ejpam-6281	59	21	symmetric	symmetric	ADJ
ejpam-6281	59	22	rb	rb	NOUN
ejpam-6281	59	23	.	.	PUNCT
ejpam-6281	60	1	notably	notably	ADV
ejpam-6281	60	2	,	,	PUNCT
ejpam-6281	60	3	this	this	DET
ejpam-6281	60	4	system	system	NOUN
ejpam-6281	60	5	has	have	AUX
ejpam-6281	60	6	been	be	AUX
ejpam-6281	60	7	successfully	successfully	ADV
ejpam-6281	60	8	solved	solve	VERB
ejpam-6281	60	9	for	for	ADP
ejpam-6281	60	10	various	various	ADJ
ejpam-6281	60	11	scenarios	scenario	NOUN
ejpam-6281	60	12	,	,	PUNCT
ejpam-6281	60	13	especially	especially	ADV
ejpam-6281	60	14	when	when	SCONJ
ejpam-6281	60	15	the	the	DET
ejpam-6281	60	16	body	body	NOUN
ejpam-6281	60	17	moves	move	VERB
ejpam-6281	60	18	in	in	ADP
ejpam-6281	60	19	a	a	DET
ejpam-6281	60	20	uniform	uniform	ADJ
ejpam-6281	60	21	field	field	NOUN
ejpam-6281	60	22	.	.	PUNCT
ejpam-6281	61	1	the	the	DET
ejpam-6281	61	2	vibrational	vibrational	ADJ
ejpam-6281	61	3	motions	motion	NOUN
ejpam-6281	61	4	of	of	ADP
ejpam-6281	61	5	rbs	rbs	PROPN
ejpam-6281	61	6	are	be	AUX
ejpam-6281	61	7	studied	study	VERB
ejpam-6281	61	8	in	in	ADP
ejpam-6281	61	9	several	several	ADJ
ejpam-6281	61	10	works	work	NOUN
ejpam-6281	61	11	,	,	PUNCT
ejpam-6281	61	12	e.g.	e.g.	ADV
ejpam-6281	61	13	[	[	X
ejpam-6281	61	14	37–40	37–40	NUM
ejpam-6281	61	15	]	]	PUNCT
ejpam-6281	61	16	.	.	PUNCT
ejpam-6281	62	1	the	the	DET
ejpam-6281	62	2	planar	planar	ADJ
ejpam-6281	62	3	dynamics	dynamic	NOUN
ejpam-6281	62	4	of	of	ADP
ejpam-6281	62	5	an	an	DET
ejpam-6281	62	6	elastic	elastic	ADJ
ejpam-6281	62	7	spring	spring	NOUN
ejpam-6281	62	8	connected	connect	VERB
ejpam-6281	62	9	to	to	ADP
ejpam-6281	62	10	a	a	DET
ejpam-6281	62	11	rb	rb	NOUN
ejpam-6281	62	12	are	be	AUX
ejpam-6281	62	13	analyzed	analyze	VERB
ejpam-6281	62	14	in	in	ADP
ejpam-6281	62	15	[	[	X
ejpam-6281	62	16	37	37	NUM
ejpam-6281	62	17	]	]	PUNCT
ejpam-6281	62	18	,	,	PUNCT
ejpam-6281	62	19	leading	lead	VERB
ejpam-6281	62	20	to	to	ADP
ejpam-6281	62	21	a	a	DET
ejpam-6281	62	22	dynamical	dynamical	ADJ
ejpam-6281	62	23	model	model	NOUN
ejpam-6281	62	24	with	with	ADP
ejpam-6281	62	25	three	three	NUM
ejpam-6281	62	26	-	-	PUNCT
ejpam-6281	62	27	degree	degree	NOUN
ejpam-6281	62	28	-	-	PUNCT
ejpam-6281	62	29	of	of	ADP
ejpam-6281	62	30	-	-	PUNCT
ejpam-6281	62	31	freedom	freedom	NOUN
ejpam-6281	62	32	that	that	PRON
ejpam-6281	62	33	follows	follow	VERB
ejpam-6281	62	34	the	the	DET
ejpam-6281	62	35	same	same	ADJ
ejpam-6281	62	36	path	path	NOUN
ejpam-6281	62	37	as	as	ADP
ejpam-6281	62	38	its	its	PRON
ejpam-6281	62	39	point	point	NOUN
ejpam-6281	62	40	of	of	ADP
ejpam-6281	62	41	suspension	suspension	NOUN
ejpam-6281	62	42	.	.	PUNCT
ejpam-6281	63	1	in	in	ADP
ejpam-6281	63	2	[	[	X
ejpam-6281	63	3	38	38	NUM
ejpam-6281	63	4	]	]	PUNCT
ejpam-6281	63	5	,	,	PUNCT
ejpam-6281	63	6	a	a	DET
ejpam-6281	63	7	particular	particular	ADJ
ejpam-6281	63	8	case	case	NOUN
ejpam-6281	63	9	is	be	AUX
ejpam-6281	63	10	explored	explore	VERB
ejpam-6281	63	11	where	where	SCONJ
ejpam-6281	63	12	the	the	DET
ejpam-6281	63	13	suspension	suspension	NOUN
ejpam-6281	63	14	point	point	NOUN
ejpam-6281	63	15	remains	remain	VERB
ejpam-6281	63	16	fixed	fix	VERB
ejpam-6281	63	17	.	.	PUNCT
ejpam-6281	64	1	the	the	DET
ejpam-6281	64	2	study	study	NOUN
ejpam-6281	64	3	in	in	ADP
ejpam-6281	64	4	[	[	X
ejpam-6281	64	5	39	39	NUM
ejpam-6281	64	6	]	]	PUNCT
ejpam-6281	64	7	examines	examine	VERB
ejpam-6281	64	8	linear	linear	NOUN
ejpam-6281	64	9	damped	damp	VERB
ejpam-6281	64	10	spring	spring	NOUN
ejpam-6281	64	11	that	that	PRON
ejpam-6281	64	12	carry	carry	VERB
ejpam-6281	64	13	a	a	DET
ejpam-6281	64	14	rb	rb	NOUN
ejpam-6281	64	15	,	,	PUNCT
ejpam-6281	64	16	with	with	ADP
ejpam-6281	64	17	the	the	DET
ejpam-6281	64	18	pivot	pivot	NOUN
ejpam-6281	64	19	point	point	NOUN
ejpam-6281	64	20	tracing	trace	VERB
ejpam-6281	64	21	an	an	DET
ejpam-6281	64	22	elliptical	elliptical	ADJ
ejpam-6281	64	23	path	path	NOUN
ejpam-6281	64	24	.	.	PUNCT
ejpam-6281	65	1	these	these	DET
ejpam-6281	65	2	works	work	NOUN
ejpam-6281	65	3	employ	employ	VERB
ejpam-6281	65	4	the	the	DET
ejpam-6281	65	5	method	method	NOUN
ejpam-6281	65	6	of	of	ADP
ejpam-6281	65	7	multiple	multiple	ADJ
ejpam-6281	65	8	-	-	PUNCT
ejpam-6281	65	9	scales	scale	NOUN
ejpam-6281	65	10	to	to	PART
ejpam-6281	65	11	obtain	obtain	VERB
ejpam-6281	65	12	the	the	DET
ejpam-6281	65	13	as	as	ADP
ejpam-6281	65	14	of	of	ADP
ejpam-6281	65	15	the	the	DET
ejpam-6281	65	16	eom	eom	PROPN
ejpam-6281	65	17	.	.	PUNCT
ejpam-6281	66	1	consequently	consequently	ADV
ejpam-6281	66	2	,	,	PUNCT
ejpam-6281	66	3	solvability	solvability	NOUN
ejpam-6281	66	4	requirements	requirement	NOUN
ejpam-6281	66	5	are	be	AUX
ejpam-6281	66	6	derived	derive	VERB
ejpam-6281	66	7	by	by	ADP
ejpam-6281	66	8	eliminating	eliminate	VERB
ejpam-6281	66	9	secular	secular	ADJ
ejpam-6281	66	10	terms	term	NOUN
ejpam-6281	66	11	,	,	PUNCT
ejpam-6281	66	12	and	and	CCONJ
ejpam-6281	66	13	potential	potential	ADJ
ejpam-6281	66	14	resonance	resonance	NOUN
ejpam-6281	66	15	cases	case	NOUN
ejpam-6281	66	16	are	be	AUX
ejpam-6281	66	17	defined	define	VERB
ejpam-6281	66	18	.	.	PUNCT
ejpam-6281	67	1	in	in	ADP
ejpam-6281	67	2	[	[	X
ejpam-6281	67	3	40	40	NUM
ejpam-6281	67	4	]	]	PUNCT
ejpam-6281	67	5	,	,	PUNCT
ejpam-6281	67	6	the	the	DET
ejpam-6281	67	7	vibrational	vibrational	ADJ
ejpam-6281	67	8	behavior	behavior	NOUN
ejpam-6281	67	9	of	of	ADP
ejpam-6281	67	10	a	a	DET
ejpam-6281	67	11	rigid	rigid	ADJ
ejpam-6281	67	12	body	body	NOUN
ejpam-6281	67	13	around	around	ADP
ejpam-6281	67	14	its	its	PRON
ejpam-6281	67	15	equilibrium	equilibrium	NOUN
ejpam-6281	67	16	position	position	NOUN
ejpam-6281	67	17	is	be	AUX
ejpam-6281	67	18	investigated	investigate	VERB
ejpam-6281	67	19	numerically	numerically	ADV
ejpam-6281	67	20	using	use	VERB
ejpam-6281	67	21	the	the	DET
ejpam-6281	67	22	ode45	ode45	NOUN
ejpam-6281	67	23	solver	solver	ADV
ejpam-6281	67	24	,	,	PUNCT
ejpam-6281	67	25	based	base	VERB
ejpam-6281	67	26	on	on	ADP
ejpam-6281	67	27	the	the	DET
ejpam-6281	67	28	fourth	fourth	ADJ
ejpam-6281	67	29	-	-	PUNCT
ejpam-6281	67	30	order	order	NOUN
ejpam-6281	67	31	runge	runge	NOUN
ejpam-6281	67	32	-	-	PUNCT
ejpam-6281	67	33	kutta	kutta	NOUN
ejpam-6281	67	34	method	method	NOUN
ejpam-6281	67	35	[	[	X
ejpam-6281	67	36	41	41	NUM
ejpam-6281	67	37	]	]	PUNCT
ejpam-6281	67	38	.	.	PUNCT
ejpam-6281	68	1	the	the	DET
ejpam-6281	68	2	comparison	comparison	NOUN
ejpam-6281	68	3	between	between	ADP
ejpam-6281	68	4	numerical	numerical	ADJ
ejpam-6281	68	5	solutions	solution	NOUN
ejpam-6281	68	6	and	and	CCONJ
ejpam-6281	68	7	asymptotic	asymptotic	ADJ
ejpam-6281	68	8	solutions	solution	NOUN
ejpam-6281	68	9	for	for	ADP
ejpam-6281	68	10	the	the	DET
ejpam-6281	68	11	pendulum	pendulum	ADJ
ejpam-6281	68	12	motions	motion	NOUN
ejpam-6281	68	13	of	of	ADP
ejpam-6281	68	14	rbs	rbs	PROPN
ejpam-6281	68	15	is	be	AUX
ejpam-6281	68	16	presented	present	VERB
ejpam-6281	68	17	in	in	ADP
ejpam-6281	68	18	[	[	X
ejpam-6281	68	19	42	42	NUM
ejpam-6281	68	20	]	]	PUNCT
ejpam-6281	68	21	,	,	PUNCT
ejpam-6281	68	22	demonstrating	demonstrate	VERB
ejpam-6281	68	23	their	their	PRON
ejpam-6281	68	24	reliability	reliability	NOUN
ejpam-6281	68	25	and	and	CCONJ
ejpam-6281	68	26	the	the	DET
ejpam-6281	68	27	high	high	ADJ
ejpam-6281	68	28	accuracy	accuracy	NOUN
ejpam-6281	68	29	of	of	ADP
ejpam-6281	68	30	the	the	DET
ejpam-6281	68	31	perturbation	perturbation	NOUN
ejpam-6281	68	32	approach	approach	NOUN
ejpam-6281	68	33	utilized	utilize	VERB
ejpam-6281	68	34	.	.	PUNCT
ejpam-6281	69	1	a	a	DET
ejpam-6281	69	2	generalization	generalization	NOUN
ejpam-6281	69	3	of	of	ADP
ejpam-6281	69	4	this	this	DET
ejpam-6281	69	5	problem	problem	NOUN
ejpam-6281	69	6	is	be	AUX
ejpam-6281	69	7	discussed	discuss	VERB
ejpam-6281	69	8	in	in	ADP
ejpam-6281	69	9	[	[	X
ejpam-6281	69	10	43	43	NUM
ejpam-6281	69	11	]	]	PUNCT
ejpam-6281	69	12	.	.	PUNCT
ejpam-6281	70	1	additionally	additionally	ADV
ejpam-6281	70	2	,	,	PUNCT
ejpam-6281	70	3	the	the	DET
ejpam-6281	70	4	routh	routh	PROPN
ejpam-6281	70	5	-	-	PUNCT
ejpam-6281	70	6	hurwitz	hurwitz	PROPN
ejpam-6281	70	7	criteria	criterion	NOUN
ejpam-6281	70	8	[	[	X
ejpam-6281	70	9	44	44	NUM
ejpam-6281	70	10	]	]	PUNCT
ejpam-6281	70	11	are	be	AUX
ejpam-6281	70	12	applied	apply	VERB
ejpam-6281	70	13	to	to	PART
ejpam-6281	70	14	confirm	confirm	VERB
ejpam-6281	70	15	the	the	DET
ejpam-6281	70	16	stability	stability	NOUN
ejpam-6281	70	17	of	of	ADP
ejpam-6281	70	18	steady	steady	ADJ
ejpam-6281	70	19	-	-	PUNCT
ejpam-6281	70	20	state	state	NOUN
ejpam-6281	70	21	solutions	solution	NOUN
ejpam-6281	70	22	and	and	CCONJ
ejpam-6281	70	23	to	to	PART
ejpam-6281	70	24	assess	assess	VERB
ejpam-6281	70	25	their	their	PRON
ejpam-6281	70	26	various	various	ADJ
ejpam-6281	70	27	stability	stability	NOUN
ejpam-6281	70	28	regions	region	NOUN
ejpam-6281	70	29	.	.	PUNCT
ejpam-6281	71	1	the	the	DET
ejpam-6281	71	2	presented	present	VERB
ejpam-6281	71	3	works	work	VERB
ejpam-6281	71	4	in	in	ADP
ejpam-6281	71	5	[	[	X
ejpam-6281	71	6	45–48	45–48	NUM
ejpam-6281	71	7	]	]	PUNCT
ejpam-6281	71	8	demonstrate	demonstrate	VERB
ejpam-6281	71	9	innovative	innovative	ADJ
ejpam-6281	71	10	approaches	approach	NOUN
ejpam-6281	71	11	to	to	ADP
ejpam-6281	71	12	solving	solve	VERB
ejpam-6281	71	13	intricate	intricate	ADJ
ejpam-6281	71	14	mechanical	mechanical	ADJ
ejpam-6281	71	15	systems	system	NOUN
ejpam-6281	71	16	,	,	PUNCT
ejpam-6281	71	17	enhancing	enhance	VERB
ejpam-6281	71	18	the	the	DET
ejpam-6281	71	19	precision	precision	NOUN
ejpam-6281	71	20	and	and	CCONJ
ejpam-6281	71	21	applicability	applicability	NOUN
ejpam-6281	71	22	of	of	ADP
ejpam-6281	71	23	mathematical	mathematical	ADJ
ejpam-6281	71	24	models	model	NOUN
ejpam-6281	71	25	in	in	ADP
ejpam-6281	71	26	physics	physics	NOUN
ejpam-6281	71	27	and	and	CCONJ
ejpam-6281	71	28	engineering	engineering	NOUN
ejpam-6281	71	29	.	.	PUNCT
ejpam-6281	72	1	in	in	ADP
ejpam-6281	72	2	[	[	X
ejpam-6281	72	3	45	45	NUM
ejpam-6281	72	4	]	]	PUNCT
ejpam-6281	72	5	,	,	PUNCT
ejpam-6281	72	6	a	a	DET
ejpam-6281	72	7	comparative	comparative	ADJ
ejpam-6281	72	8	study	study	NOUN
ejpam-6281	72	9	of	of	ADP
ejpam-6281	72	10	analytical	analytical	ADJ
ejpam-6281	72	11	and	and	CCONJ
ejpam-6281	72	12	numerical	numerical	ADJ
ejpam-6281	72	13	solutions	solution	NOUN
ejpam-6281	72	14	for	for	ADP
ejpam-6281	72	15	a	a	DET
ejpam-6281	72	16	mass	mass	ADJ
ejpam-6281	72	17	-	-	PUNCT
ejpam-6281	72	18	spring	spring	NOUN
ejpam-6281	72	19	system	system	NOUN
ejpam-6281	72	20	on	on	ADP
ejpam-6281	72	21	a	a	DET
ejpam-6281	72	22	massless	massless	ADJ
ejpam-6281	72	23	cart	cart	NOUN
ejpam-6281	72	24	,	,	PUNCT
ejpam-6281	72	25	revealing	reveal	VERB
ejpam-6281	72	26	dynamic	dynamic	ADJ
ejpam-6281	72	27	interactions	interaction	NOUN
ejpam-6281	72	28	that	that	PRON
ejpam-6281	72	29	enhance	enhance	VERB
ejpam-6281	72	30	understanding	understanding	NOUN
ejpam-6281	72	31	in	in	ADP
ejpam-6281	72	32	mechanical	mechanical	ADJ
ejpam-6281	72	33	engineering	engineering	NOUN
ejpam-6281	72	34	contexts	context	NOUN
ejpam-6281	72	35	is	be	AUX
ejpam-6281	72	36	presented	present	VERB
ejpam-6281	72	37	.	.	PUNCT
ejpam-6281	73	1	in	in	ADP
ejpam-6281	73	2	[	[	X
ejpam-6281	73	3	46	46	NUM
ejpam-6281	73	4	]	]	PUNCT
ejpam-6281	73	5	,	,	PUNCT
ejpam-6281	73	6	the	the	DET
ejpam-6281	73	7	authors	author	NOUN
ejpam-6281	73	8	explored	explore	VERB
ejpam-6281	73	9	a	a	DET
ejpam-6281	73	10	pendulum	pendulum	NOUN
ejpam-6281	73	11	situated	situate	VERB
ejpam-6281	73	12	between	between	ADP
ejpam-6281	73	13	two	two	NUM
ejpam-6281	73	14	springs	spring	NOUN
ejpam-6281	73	15	using	use	VERB
ejpam-6281	73	16	the	the	DET
ejpam-6281	73	17	ms	ms	PROPN
ejpam-6281	73	18	-	-	PUNCT
ejpam-6281	73	19	dtm	dtm	PROPN
ejpam-6281	73	20	method	method	NOUN
ejpam-6281	73	21	,	,	PUNCT
ejpam-6281	73	22	shedding	shed	VERB
ejpam-6281	73	23	light	light	NOUN
ejpam-6281	73	24	on	on	ADP
ejpam-6281	73	25	complex	complex	ADJ
ejpam-6281	73	26	dynamic	dynamic	ADJ
ejpam-6281	73	27	behaviors	behavior	NOUN
ejpam-6281	73	28	and	and	CCONJ
ejpam-6281	73	29	the	the	DET
ejpam-6281	73	30	efficacy	efficacy	NOUN
ejpam-6281	73	31	of	of	ADP
ejpam-6281	73	32	this	this	DET
ejpam-6281	73	33	analytical	analytical	ADJ
ejpam-6281	73	34	technique	technique	NOUN
ejpam-6281	73	35	.	.	PUNCT
ejpam-6281	74	1	a	a	DET
ejpam-6281	74	2	theoretical	theoretical	ADJ
ejpam-6281	74	3	study	study	NOUN
ejpam-6281	74	4	of	of	ADP
ejpam-6281	74	5	harmonic	harmonic	ADJ
ejpam-6281	74	6	oscillators	oscillator	NOUN
ejpam-6281	74	7	applying	apply	VERB
ejpam-6281	74	8	the	the	DET
ejpam-6281	74	9	optimal	optimal	ADJ
ejpam-6281	74	10	and	and	CCONJ
ejpam-6281	74	11	modified	modify	VERB
ejpam-6281	74	12	homotopy	homotopy	NOUN
ejpam-6281	74	13	method	method	NOUN
ejpam-6281	74	14	is	be	AUX
ejpam-6281	74	15	examined	examine	VERB
ejpam-6281	74	16	in	in	ADP
ejpam-6281	74	17	[	[	X
ejpam-6281	74	18	47	47	NUM
ejpam-6281	74	19	]	]	PUNCT
ejpam-6281	74	20	to	to	PART
ejpam-6281	74	21	address	address	VERB
ejpam-6281	74	22	time	time	NOUN
ejpam-6281	74	23	dependence	dependence	NOUN
ejpam-6281	74	24	,	,	PUNCT
ejpam-6281	74	25	contributing	contribute	VERB
ejpam-6281	74	26	valuable	valuable	ADJ
ejpam-6281	74	27	insights	insight	NOUN
ejpam-6281	74	28	into	into	ADP
ejpam-6281	74	29	dynamic	dynamic	ADJ
ejpam-6281	74	30	system	system	NOUN
ejpam-6281	74	31	analysis	analysis	NOUN
ejpam-6281	74	32	.	.	PUNCT
ejpam-6281	75	1	moreover	moreover	ADV
ejpam-6281	75	2	,	,	PUNCT
ejpam-6281	75	3	examine	examine	VERB
ejpam-6281	75	4	a	a	DET
ejpam-6281	75	5	pendulum	pendulum	NOUN
ejpam-6281	75	6	’s	’s	PART
ejpam-6281	75	7	response	response	NOUN
ejpam-6281	75	8	to	to	ADP
ejpam-6281	75	9	vibratory	vibratory	ADJ
ejpam-6281	75	10	influences	influence	NOUN
ejpam-6281	75	11	using	use	VERB
ejpam-6281	75	12	semi	semi	ADJ
ejpam-6281	75	13	-	-	ADJ
ejpam-6281	75	14	analytical	analytical	ADJ
ejpam-6281	75	15	solutions	solution	NOUN
ejpam-6281	75	16	formed	form	VERB
ejpam-6281	75	17	through	through	ADP
ejpam-6281	75	18	the	the	DET
ejpam-6281	75	19	aforementioned	aforementioned	ADJ
ejpam-6281	75	20	method	method	NOUN
ejpam-6281	75	21	is	be	AUX
ejpam-6281	75	22	examined	examine	VERB
ejpam-6281	75	23	in	in	ADP
ejpam-6281	75	24	[	[	X
ejpam-6281	75	25	48	48	NUM
ejpam-6281	75	26	]	]	PUNCT
ejpam-6281	75	27	.	.	PUNCT
ejpam-6281	76	1	a	a	DET
ejpam-6281	76	2	comprehension	comprehension	NOUN
ejpam-6281	76	3	of	of	ADP
ejpam-6281	76	4	pendulum	pendulum	NOUN
ejpam-6281	76	5	dynamics	dynamic	NOUN
ejpam-6281	76	6	and	and	CCONJ
ejpam-6281	76	7	validating	validate	VERB
ejpam-6281	76	8	sophisticated	sophisticated	ADJ
ejpam-6281	76	9	perturbation	perturbation	NOUN
ejpam-6281	76	10	techniques	technique	NOUN
ejpam-6281	76	11	within	within	ADP
ejpam-6281	76	12	mechanical	mechanical	ADJ
ejpam-6281	76	13	problems	problem	NOUN
ejpam-6281	76	14	is	be	AUX
ejpam-6281	76	15	presented	present	VERB
ejpam-6281	76	16	.	.	PUNCT
ejpam-6281	77	1	the	the	DET
ejpam-6281	77	2	work	work	NOUN
ejpam-6281	77	3	explores	explore	VERB
ejpam-6281	77	4	the	the	DET
ejpam-6281	77	5	3d	3d	NUM
ejpam-6281	77	6	motion	motion	NOUN
ejpam-6281	77	7	of	of	ADP
ejpam-6281	77	8	a	a	DET
ejpam-6281	77	9	symmetric	symmetric	NOUN
ejpam-6281	77	10	the	the	DET
ejpam-6281	77	11	rb	rb	NOUN
ejpam-6281	77	12	with	with	ADP
ejpam-6281	77	13	a	a	DET
ejpam-6281	77	14	very	very	ADV
ejpam-6281	77	15	much	much	ADJ
ejpam-6281	77	16	displacement	displacement	NOUN
ejpam-6281	77	17	of	of	ADP
ejpam-6281	77	18	its	its	PRON
ejpam-6281	77	19	center	center	NOUN
ejpam-6281	77	20	of	of	ADP
ejpam-6281	77	21	mass	mass	NOUN
ejpam-6281	77	22	from	from	ADP
ejpam-6281	77	23	the	the	DET
ejpam-6281	77	24	axis	axis	NOUN
ejpam-6281	77	25	of	of	ADP
ejpam-6281	77	26	dynamic	dynamic	ADJ
ejpam-6281	77	27	symmetry	symmetry	NOUN
ejpam-6281	77	28	.	.	PUNCT
ejpam-6281	78	1	the	the	DET
ejpam-6281	78	2	system	system	NOUN
ejpam-6281	78	3	is	be	AUX
ejpam-6281	78	4	subjected	subject	VERB
ejpam-6281	78	5	to	to	ADP
ejpam-6281	78	6	the	the	DET
ejpam-6281	78	7	gm	gm	PROPN
ejpam-6281	78	8	and	and	CCONJ
ejpam-6281	78	9	a	a	DET
ejpam-6281	78	10	nff	nff	PROPN
ejpam-6281	78	11	.	.	PUNCT
ejpam-6281	79	1	the	the	DET
ejpam-6281	79	2	lpa	lpa	PROPN
ejpam-6281	79	3	is	be	AUX
ejpam-6281	79	4	employed	employ	VERB
ejpam-6281	79	5	to	to	PART
ejpam-6281	79	6	obtain	obtain	VERB
ejpam-6281	79	7	as	as	ADP
ejpam-6281	79	8	for	for	ADP
ejpam-6281	79	9	the	the	DET
ejpam-6281	79	10	eom	eom	PROPN
ejpam-6281	79	11	in	in	ADP
ejpam-6281	79	12	cases	case	NOUN
ejpam-6281	79	13	of	of	ADP
ejpam-6281	79	14	irrational	irrational	ADJ
ejpam-6281	79	15	frequencies	frequency	NOUN
ejpam-6281	79	16	.	.	PUNCT
ejpam-6281	80	1	such	such	ADJ
ejpam-6281	80	2	solutions	solution	NOUN
ejpam-6281	80	3	are	be	AUX
ejpam-6281	80	4	then	then	ADV
ejpam-6281	80	5	visualized	visualize	VERB
ejpam-6281	80	6	to	to	PART
ejpam-6281	80	7	highlight	highlight	VERB
ejpam-6281	80	8	the	the	DET
ejpam-6281	80	9	influence	influence	NOUN
ejpam-6281	80	10	of	of	ADP
ejpam-6281	80	11	various	various	ADJ
ejpam-6281	80	12	body	body	NOUN
ejpam-6281	80	13	parameters	parameter	NOUN
ejpam-6281	80	14	on	on	ADP
ejpam-6281	80	15	the	the	DET
ejpam-6281	80	16	motion	motion	NOUN
ejpam-6281	80	17	over	over	ADP
ejpam-6281	80	18	time	time	NOUN
ejpam-6281	80	19	,	,	PUNCT
ejpam-6281	80	20	serving	serve	VERB
ejpam-6281	80	21	as	as	ADP
ejpam-6281	80	22	a	a	DET
ejpam-6281	80	23	generalization	generalization	NOUN
ejpam-6281	80	24	of	of	ADP
ejpam-6281	80	25	earlier	early	ADJ
ejpam-6281	80	26	work	work	NOUN
ejpam-6281	80	27	[	[	X
ejpam-6281	80	28	16	16	NUM
ejpam-6281	80	29	]	]	PUNCT
ejpam-6281	80	30	.	.	PUNCT
ejpam-6281	81	1	the	the	DET
ejpam-6281	81	2	use	use	NOUN
ejpam-6281	81	3	of	of	ADP
ejpam-6281	81	4	the	the	DET
ejpam-6281	81	5	lpa	lpa	PROPN
ejpam-6281	81	6	enables	enable	VERB
ejpam-6281	81	7	the	the	DET
ejpam-6281	81	8	derivation	derivation	NOUN
ejpam-6281	81	9	of	of	ADP
ejpam-6281	81	10	as	as	ADP
ejpam-6281	81	11	remain	remain	VERB
ejpam-6281	81	12	valid	valid	ADJ
ejpam-6281	81	13	even	even	ADV
ejpam-6281	81	14	for	for	ADP
ejpam-6281	81	15	significant	significant	ADJ
ejpam-6281	81	16	deviations	deviation	NOUN
ejpam-6281	81	17	from	from	ADP
ejpam-6281	81	18	equilibrium	equilibrium	NOUN
ejpam-6281	81	19	.	.	PUNCT
ejpam-6281	82	1	recent	recent	ADJ
ejpam-6281	82	2	advancements	advancement	NOUN
ejpam-6281	82	3	in	in	ADP
ejpam-6281	82	4	asymptotic	asymptotic	ADJ
ejpam-6281	82	5	methods	method	NOUN
ejpam-6281	82	6	have	have	AUX
ejpam-6281	82	7	proven	prove	VERB
ejpam-6281	82	8	effective	effective	ADJ
ejpam-6281	82	9	in	in	ADP
ejpam-6281	82	10	addressing	address	VERB
ejpam-6281	82	11	highly	highly	ADV
ejpam-6281	82	12	nonlinear	nonlinear	ADJ
ejpam-6281	82	13	the	the	DET
ejpam-6281	82	14	rb	rb	PROPN
ejpam-6281	82	15	problems	problem	NOUN
ejpam-6281	82	16	.	.	PUNCT
ejpam-6281	83	1	euler	euler	PROPN
ejpam-6281	83	2	’s	’s	PART
ejpam-6281	83	3	angles	angle	NOUN
ejpam-6281	83	4	for	for	ADP
ejpam-6281	83	5	the	the	DET
ejpam-6281	83	6	motion	motion	NOUN
ejpam-6281	83	7	are	be	AUX
ejpam-6281	83	8	determined	determine	VERB
ejpam-6281	83	9	,	,	PUNCT
ejpam-6281	83	10	and	and	CCONJ
ejpam-6281	83	11	graphical	graphical	ADJ
ejpam-6281	83	12	representations	representation	NOUN
ejpam-6281	83	13	provide	provide	VERB
ejpam-6281	83	14	insight	insight	NOUN
ejpam-6281	83	15	into	into	ADP
ejpam-6281	83	16	the	the	DET
ejpam-6281	83	17	motion	motion	NOUN
ejpam-6281	83	18	at	at	ADP
ejpam-6281	83	19	any	any	DET
ejpam-6281	83	20	given	give	VERB
ejpam-6281	83	21	instant	instant	NOUN
ejpam-6281	83	22	.	.	PUNCT
ejpam-6281	84	1	the	the	DET
ejpam-6281	84	2	significance	significance	NOUN
ejpam-6281	84	3	of	of	ADP
ejpam-6281	84	4	this	this	DET
ejpam-6281	84	5	work	work	NOUN
ejpam-6281	84	6	explores	explore	VERB
ejpam-6281	84	7	the	the	DET
ejpam-6281	84	8	mathematical	mathematical	ADJ
ejpam-6281	84	9	formulation	formulation	NOUN
ejpam-6281	84	10	,	,	PUNCT
ejpam-6281	84	11	derivation	derivation	NOUN
ejpam-6281	84	12	,	,	PUNCT
ejpam-6281	84	13	and	and	CCONJ
ejpam-6281	84	14	apt	apt	ADJ
ejpam-6281	84	15	.	.	PUNCT
ejpam-6281	85	1	s.	s.	PROPN
ejpam-6281	85	2	amer	amer	PROPN
ejpam-6281	85	3	et	et	PROPN
ejpam-6281	85	4	al	al	PROPN
ejpam-6281	85	5	.	.	PUNCT
ejpam-6281	85	6	/	/	SYM
ejpam-6281	85	7	eur	eur	PROPN
ejpam-6281	85	8	.	.	PUNCT
ejpam-6281	86	1	j.	j.	PROPN
ejpam-6281	86	2	pure	pure	PROPN
ejpam-6281	86	3	appl	appl	PROPN
ejpam-6281	86	4	.	.	PROPN
ejpam-6281	86	5	math	math	PROPN
ejpam-6281	86	6	,	,	PUNCT
ejpam-6281	86	7	18	18	NUM
ejpam-6281	86	8	(	(	PUNCT
ejpam-6281	86	9	3	3	NUM
ejpam-6281	86	10	)	)	PUNCT
ejpam-6281	86	11	(	(	PUNCT
ejpam-6281	86	12	2025	2025	NUM
ejpam-6281	86	13	)	)	PUNCT
ejpam-6281	86	14	,	,	PUNCT
ejpam-6281	86	15	6281	6281	NUM
ejpam-6281	86	16	5	5	NUM
ejpam-6281	86	17	of	of	ADP
ejpam-6281	86	18	35	35	NUM
ejpam-6281	86	19	plications	plication	NOUN
ejpam-6281	86	20	of	of	ADP
ejpam-6281	86	21	the	the	DET
ejpam-6281	86	22	lpa	lpa	NOUN
ejpam-6281	86	23	in	in	ADP
ejpam-6281	86	24	solving	solve	VERB
ejpam-6281	86	25	large	large	ADJ
ejpam-6281	86	26	displacement	displacement	NOUN
ejpam-6281	86	27	problems	problem	NOUN
ejpam-6281	86	28	for	for	ADP
ejpam-6281	86	29	symmetric	symmetric	ADJ
ejpam-6281	86	30	the	the	DET
ejpam-6281	86	31	rbs	rbs	PROPN
ejpam-6281	86	32	.	.	PUNCT
ejpam-6281	87	1	by	by	ADP
ejpam-6281	87	2	leveraging	leverage	VERB
ejpam-6281	87	3	asymptotic	asymptotic	ADJ
ejpam-6281	87	4	approximations	approximation	NOUN
ejpam-6281	87	5	,	,	PUNCT
ejpam-6281	87	6	we	we	PRON
ejpam-6281	87	7	aim	aim	VERB
ejpam-6281	87	8	to	to	PART
ejpam-6281	87	9	provide	provide	VERB
ejpam-6281	87	10	practical	practical	ADJ
ejpam-6281	87	11	and	and	CCONJ
ejpam-6281	87	12	computationally	computationally	ADV
ejpam-6281	87	13	efficient	efficient	ADJ
ejpam-6281	87	14	solutions	solution	NOUN
ejpam-6281	87	15	to	to	AUX
ejpam-6281	87	16	highly	highly	ADV
ejpam-6281	87	17	nonlinear	nonlinear	VERB
ejpam-6281	87	18	the	the	DET
ejpam-6281	87	19	rb	rb	NOUN
ejpam-6281	87	20	problems	problem	NOUN
ejpam-6281	87	21	,	,	PUNCT
ejpam-6281	87	22	contributing	contribute	VERB
ejpam-6281	87	23	to	to	ADP
ejpam-6281	87	24	both	both	CCONJ
ejpam-6281	87	25	theoretical	theoretical	ADJ
ejpam-6281	87	26	and	and	CCONJ
ejpam-6281	87	27	applied	applied	ADJ
ejpam-6281	87	28	mechanics	mechanic	NOUN
ejpam-6281	87	29	.	.	PUNCT
ejpam-6281	88	1	the	the	DET
ejpam-6281	88	2	rb	rb	PROPN
ejpam-6281	88	3	dynamics	dynamic	NOUN
ejpam-6281	88	4	play	play	VERB
ejpam-6281	88	5	a	a	DET
ejpam-6281	88	6	significant	significant	ADJ
ejpam-6281	88	7	role	role	NOUN
ejpam-6281	88	8	in	in	ADP
ejpam-6281	88	9	the	the	DET
ejpam-6281	88	10	theory	theory	NOUN
ejpam-6281	88	11	of	of	ADP
ejpam-6281	88	12	gyroscopes	gyroscope	NOUN
ejpam-6281	88	13	,	,	PUNCT
ejpam-6281	88	14	particularly	particularly	ADV
ejpam-6281	88	15	for	for	ADP
ejpam-6281	88	16	symmetric	symmetric	ADJ
ejpam-6281	88	17	rbs	rbs	NOUN
ejpam-6281	88	18	that	that	PRON
ejpam-6281	88	19	rotate	rotate	VERB
ejpam-6281	88	20	rapidly	rapidly	ADV
ejpam-6281	88	21	around	around	ADP
ejpam-6281	88	22	their	their	PRON
ejpam-6281	88	23	axis	axis	NOUN
ejpam-6281	88	24	of	of	ADP
ejpam-6281	88	25	symmetry	symmetry	NOUN
ejpam-6281	88	26	.	.	PUNCT
ejpam-6281	89	1	gyroscopes	gyroscope	NOUN
ejpam-6281	89	2	are	be	AUX
ejpam-6281	89	3	crucial	crucial	ADJ
ejpam-6281	89	4	in	in	ADP
ejpam-6281	89	5	numerous	numerous	ADJ
ejpam-6281	89	6	engineering	engineering	NOUN
ejpam-6281	89	7	applications	application	NOUN
ejpam-6281	89	8	.	.	PUNCT
ejpam-6281	90	1	for	for	ADP
ejpam-6281	90	2	instance	instance	NOUN
ejpam-6281	90	3	,	,	PUNCT
ejpam-6281	90	4	in	in	ADP
ejpam-6281	90	5	racing	racing	NOUN
ejpam-6281	90	6	vehicles	vehicle	NOUN
ejpam-6281	90	7	,	,	PUNCT
ejpam-6281	90	8	the	the	DET
ejpam-6281	90	9	engine	engine	NOUN
ejpam-6281	90	10	itself	itself	PRON
ejpam-6281	90	11	acts	act	VERB
ejpam-6281	90	12	like	like	ADP
ejpam-6281	90	13	a	a	DET
ejpam-6281	90	14	large	large	ADJ
ejpam-6281	90	15	gyroscope	gyroscope	NOUN
ejpam-6281	90	16	,	,	PUNCT
ejpam-6281	90	17	influencing	influence	VERB
ejpam-6281	90	18	performance	performance	NOUN
ejpam-6281	90	19	and	and	CCONJ
ejpam-6281	90	20	stability	stability	NOUN
ejpam-6281	90	21	.	.	PUNCT
ejpam-6281	91	1	in	in	ADP
ejpam-6281	91	2	aviation	aviation	NOUN
ejpam-6281	91	3	,	,	PUNCT
ejpam-6281	91	4	gyroscopes	gyroscope	NOUN
ejpam-6281	91	5	help	help	AUX
ejpam-6281	91	6	maintain	maintain	VERB
ejpam-6281	91	7	stability	stability	NOUN
ejpam-6281	91	8	and	and	CCONJ
ejpam-6281	91	9	control	control	NOUN
ejpam-6281	91	10	orientation	orientation	NOUN
ejpam-6281	91	11	;	;	PUNCT
ejpam-6281	91	12	when	when	SCONJ
ejpam-6281	91	13	an	an	DET
ejpam-6281	91	14	aircraft	aircraft	NOUN
ejpam-6281	91	15	turns	turn	VERB
ejpam-6281	91	16	right	right	ADV
ejpam-6281	91	17	or	or	CCONJ
ejpam-6281	91	18	left	leave	VERB
ejpam-6281	91	19	,	,	PUNCT
ejpam-6281	91	20	the	the	DET
ejpam-6281	91	21	gyroscopic	gyroscopic	NOUN
ejpam-6281	91	22	effect	effect	NOUN
ejpam-6281	91	23	can	can	AUX
ejpam-6281	91	24	cause	cause	VERB
ejpam-6281	91	25	the	the	DET
ejpam-6281	91	26	nose	nose	NOUN
ejpam-6281	91	27	or	or	CCONJ
ejpam-6281	91	28	tail	tail	NOUN
ejpam-6281	91	29	to	to	PART
ejpam-6281	91	30	rise	rise	VERB
ejpam-6281	91	31	or	or	CCONJ
ejpam-6281	91	32	dip	dip	VERB
ejpam-6281	91	33	accordingly	accordingly	ADV
ejpam-6281	91	34	.	.	PUNCT
ejpam-6281	92	1	similarly	similarly	ADV
ejpam-6281	92	2	,	,	PUNCT
ejpam-6281	92	3	gyroscopes	gyroscope	NOUN
ejpam-6281	92	4	are	be	AUX
ejpam-6281	92	5	essential	essential	ADJ
ejpam-6281	92	6	for	for	ADP
ejpam-6281	92	7	steering	steering	NOUN
ejpam-6281	92	8	and	and	CCONJ
ejpam-6281	92	9	pitching	pitch	VERB
ejpam-6281	92	10	in	in	ADP
ejpam-6281	92	11	ships	ship	NOUN
ejpam-6281	92	12	.	.	PUNCT
ejpam-6281	93	1	there	there	PRON
ejpam-6281	93	2	are	be	VERB
ejpam-6281	93	3	various	various	ADJ
ejpam-6281	93	4	types	type	NOUN
ejpam-6281	93	5	of	of	ADP
ejpam-6281	93	6	gyroscopes	gyroscope	NOUN
ejpam-6281	93	7	used	use	VERB
ejpam-6281	93	8	to	to	PART
ejpam-6281	93	9	measure	measure	VERB
ejpam-6281	93	10	angular	angular	ADJ
ejpam-6281	93	11	velocity	velocity	NOUN
ejpam-6281	93	12	,	,	PUNCT
ejpam-6281	93	13	including	include	VERB
ejpam-6281	93	14	optical	optical	ADJ
ejpam-6281	93	15	,	,	PUNCT
ejpam-6281	93	16	vibrating	vibrating	NOUN
ejpam-6281	93	17	,	,	PUNCT
ejpam-6281	93	18	and	and	CCONJ
ejpam-6281	93	19	mechanical	mechanical	ADJ
ejpam-6281	93	20	gyroscopes	gyroscope	NOUN
ejpam-6281	93	21	.	.	PUNCT
ejpam-6281	94	1	micromechanical	micromechanical	ADJ
ejpam-6281	94	2	gyroscopes	gyroscope	NOUN
ejpam-6281	94	3	are	be	AUX
ejpam-6281	94	4	widely	widely	ADV
ejpam-6281	94	5	used	use	VERB
ejpam-6281	94	6	in	in	ADP
ejpam-6281	94	7	consumer	consumer	NOUN
ejpam-6281	94	8	electronics	electronic	NOUN
ejpam-6281	94	9	,	,	PUNCT
ejpam-6281	94	10	as	as	ADV
ejpam-6281	94	11	well	well	ADV
ejpam-6281	94	12	as	as	ADP
ejpam-6281	94	13	in	in	ADP
ejpam-6281	94	14	compasses	compass	NOUN
ejpam-6281	94	15	,	,	PUNCT
ejpam-6281	94	16	computer	computer	NOUN
ejpam-6281	94	17	pointing	pointing	NOUN
ejpam-6281	94	18	devices	device	NOUN
ejpam-6281	94	19	,	,	PUNCT
ejpam-6281	94	20	and	and	CCONJ
ejpam-6281	94	21	other	other	ADJ
ejpam-6281	94	22	systems	system	NOUN
ejpam-6281	94	23	requiring	require	VERB
ejpam-6281	94	24	orientation	orientation	NOUN
ejpam-6281	94	25	detection	detection	NOUN
ejpam-6281	94	26	.	.	PUNCT
ejpam-6281	95	1	2	2	X
ejpam-6281	95	2	.	.	X
ejpam-6281	95	3	overview	overview	NOUN
ejpam-6281	95	4	of	of	ADP
ejpam-6281	95	5	the	the	DET
ejpam-6281	95	6	problem	problem	NOUN
ejpam-6281	95	7	this	this	DET
ejpam-6281	95	8	section	section	NOUN
ejpam-6281	95	9	aims	aim	VERB
ejpam-6281	95	10	to	to	PART
ejpam-6281	95	11	offer	offer	VERB
ejpam-6281	95	12	a	a	DET
ejpam-6281	95	13	deeper	deep	ADJ
ejpam-6281	95	14	insight	insight	NOUN
ejpam-6281	95	15	into	into	ADP
ejpam-6281	95	16	the	the	DET
ejpam-6281	95	17	dynamic	dynamic	ADJ
ejpam-6281	95	18	behavior	behavior	NOUN
ejpam-6281	95	19	of	of	ADP
ejpam-6281	95	20	a	a	DET
ejpam-6281	95	21	heavy	heavy	ADJ
ejpam-6281	95	22	symmetric	symmetric	ADJ
ejpam-6281	95	23	rb	rb	NOUN
ejpam-6281	95	24	with	with	ADP
ejpam-6281	95	25	massm	massm	NOUN
ejpam-6281	95	26	,	,	PUNCT
ejpam-6281	95	27	such	such	ADJ
ejpam-6281	95	28	as	as	ADP
ejpam-6281	95	29	the	the	DET
ejpam-6281	95	30	conditions	condition	NOUN
ejpam-6281	95	31	of	of	ADP
ejpam-6281	95	32	lagrange	lagrange	NOUN
ejpam-6281	95	33	’s	’s	PART
ejpam-6281	95	34	gyroscope	gyroscope	NOUN
ejpam-6281	95	35	are	be	AUX
ejpam-6281	95	36	satisfied	satisfied	ADJ
ejpam-6281	95	37	.	.	PUNCT
ejpam-6281	96	1	the	the	DET
ejpam-6281	96	2	body	body	NOUN
ejpam-6281	96	3	is	be	AUX
ejpam-6281	96	4	anchored	anchor	VERB
ejpam-6281	96	5	at	at	ADP
ejpam-6281	96	6	a	a	DET
ejpam-6281	96	7	point	point	NOUN
ejpam-6281	96	8	o	o	NOUN
ejpam-6281	96	9	,	,	PUNCT
ejpam-6281	96	10	which	which	PRON
ejpam-6281	96	11	serves	serve	VERB
ejpam-6281	96	12	as	as	ADP
ejpam-6281	96	13	the	the	DET
ejpam-6281	96	14	origin	origin	NOUN
ejpam-6281	96	15	for	for	ADP
ejpam-6281	96	16	two	two	NUM
ejpam-6281	96	17	coordinate	coordinate	NOUN
ejpam-6281	96	18	systems	system	NOUN
ejpam-6281	96	19	:	:	PUNCT
ejpam-6281	96	20	a	a	DET
ejpam-6281	96	21	stationary	stationary	ADJ
ejpam-6281	96	22	one	one	NUM
ejpam-6281	96	23	oxy	oxy	PROPN
ejpam-6281	96	24	z	z	NOUN
ejpam-6281	96	25	and	and	CCONJ
ejpam-6281	96	26	a	a	DET
ejpam-6281	96	27	rotating	rotate	VERB
ejpam-6281	96	28	one	one	NUM
ejpam-6281	96	29	oxyz	oxyz	NOUN
ejpam-6281	96	30	that	that	PRON
ejpam-6281	96	31	is	be	AUX
ejpam-6281	96	32	rigidly	rigidly	ADV
ejpam-6281	96	33	attached	attach	VERB
ejpam-6281	96	34	to	to	ADP
ejpam-6281	96	35	the	the	DET
ejpam-6281	96	36	body	body	NOUN
ejpam-6281	96	37	,	,	PUNCT
ejpam-6281	96	38	with	with	SCONJ
ejpam-6281	96	39	its	its	PRON
ejpam-6281	96	40	axes	axis	NOUN
ejpam-6281	96	41	aligned	align	VERB
ejpam-6281	96	42	along	along	ADP
ejpam-6281	96	43	the	the	DET
ejpam-6281	96	44	inertia	inertia	NOUN
ejpam-6281	96	45	’s	’s	PART
ejpam-6281	96	46	main	main	ADJ
ejpam-6281	96	47	axes	axis	NOUN
ejpam-6281	96	48	at	at	ADP
ejpam-6281	96	49	o.	o.	NOUN
ejpam-6281	96	50	we	we	PRON
ejpam-6281	96	51	will	will	AUX
ejpam-6281	96	52	suppose	suppose	VERB
ejpam-6281	96	53	that	that	SCONJ
ejpam-6281	96	54	the	the	DET
ejpam-6281	96	55	body	body	NOUN
ejpam-6281	96	56	is	be	AUX
ejpam-6281	96	57	influenced	influence	VERB
ejpam-6281	96	58	by	by	ADP
ejpam-6281	96	59	a	a	DET
ejpam-6281	96	60	gm	gm	PROPN
ejpam-6281	96	61	λ	λ	PROPN
ejpam-6281	96	62	,	,	PUNCT
ejpam-6281	96	63	whose	whose	DET
ejpam-6281	96	64	components	component	NOUN
ejpam-6281	96	65	(	(	PUNCT
ejpam-6281	96	66	λj	λj	INTJ
ejpam-6281	96	67	;	;	PUNCT
ejpam-6281	96	68	j	j	PROPN
ejpam-6281	96	69	=	=	SYM
ejpam-6281	96	70	1	1	NUM
ejpam-6281	96	71	,	,	PUNCT
ejpam-6281	96	72	2	2	NUM
ejpam-6281	96	73	,	,	PUNCT
ejpam-6281	96	74	3	3	NUM
ejpam-6281	96	75	)	)	PUNCT
ejpam-6281	96	76	are	be	AUX
ejpam-6281	96	77	directed	direct	VERB
ejpam-6281	96	78	on	on	ADP
ejpam-6281	96	79	the	the	DET
ejpam-6281	96	80	principal	principal	ADJ
ejpam-6281	96	81	axes	axis	NOUN
ejpam-6281	96	82	ox	ox	NOUN
ejpam-6281	96	83	,	,	PUNCT
ejpam-6281	96	84	oy	oy	NOUN
ejpam-6281	96	85	and	and	CCONJ
ejpam-6281	96	86	oz	oz	NOUN
ejpam-6281	96	87	.	.	PUNCT
ejpam-6281	96	88	additionally	additionally	ADV
ejpam-6281	96	89	,	,	PUNCT
ejpam-6281	96	90	in	in	ADP
ejpam-6281	96	91	which	which	PRON
ejpam-6281	96	92	λ1	λ1	PROPN
ejpam-6281	96	93	=	=	SYM
ejpam-6281	96	94	0	0	NUM
ejpam-6281	96	95	and	and	CCONJ
ejpam-6281	96	96	a	a	DET
ejpam-6281	96	97	nff	nff	NOUN
ejpam-6281	96	98	originating	originate	VERB
ejpam-6281	96	99	from	from	ADP
ejpam-6281	96	100	an	an	DET
ejpam-6281	96	101	attracting	attract	VERB
ejpam-6281	96	102	center	center	NOUN
ejpam-6281	96	103	o1	o1	NOUN
ejpam-6281	96	104	,	,	PUNCT
ejpam-6281	96	105	located	locate	VERB
ejpam-6281	96	106	along	along	ADP
ejpam-6281	96	107	the	the	DET
ejpam-6281	96	108	downward	downward	ADJ
ejpam-6281	96	109	fixed	fix	VERB
ejpam-6281	96	110	axis	axis	NOUN
ejpam-6281	96	111	oz	oz	X
ejpam-6281	96	112	and	and	CCONJ
ejpam-6281	96	113	far	far	ADV
ejpam-6281	96	114	away	away	ADV
ejpam-6281	96	115	the	the	DET
ejpam-6281	96	116	origin	origin	NOUN
ejpam-6281	96	117	o	o	NOUN
ejpam-6281	96	118	,	,	PUNCT
ejpam-6281	96	119	at	at	ADP
ejpam-6281	96	120	a	a	DET
ejpam-6281	96	121	significant	significant	ADJ
ejpam-6281	96	122	distance	distance	NOUN
ejpam-6281	96	123	r	r	NOUN
ejpam-6281	96	124	(	(	PUNCT
ejpam-6281	96	125	see	see	VERB
ejpam-6281	96	126	fig	fig	NOUN
ejpam-6281	96	127	.	.	PUNCT
ejpam-6281	97	1	(	(	PUNCT
ejpam-6281	97	2	1	1	NUM
ejpam-6281	97	3	)	)	PUNCT
ejpam-6281	97	4	)	)	PUNCT
ejpam-6281	97	5	.	.	PUNCT
ejpam-6281	98	1	figure	figure	VERB
ejpam-6281	98	2	1	1	NUM
ejpam-6281	98	3	:	:	PUNCT
ejpam-6281	98	4	the	the	DET
ejpam-6281	98	5	rb	rb	PROPN
ejpam-6281	98	6	’s	’s	PART
ejpam-6281	98	7	problem	problem	NOUN
ejpam-6281	98	8	.	.	PUNCT
ejpam-6281	99	1	t.	t.	PROPN
ejpam-6281	99	2	s.	s.	PROPN
ejpam-6281	99	3	amer	amer	PROPN
ejpam-6281	99	4	et	et	PROPN
ejpam-6281	99	5	al	al	PROPN
ejpam-6281	99	6	.	.	PUNCT
ejpam-6281	99	7	/	/	SYM
ejpam-6281	99	8	eur	eur	PROPN
ejpam-6281	99	9	.	.	PUNCT
ejpam-6281	100	1	j.	j.	PROPN
ejpam-6281	100	2	pure	pure	PROPN
ejpam-6281	100	3	appl	appl	PROPN
ejpam-6281	100	4	.	.	PROPN
ejpam-6281	100	5	math	math	PROPN
ejpam-6281	100	6	,	,	PUNCT
ejpam-6281	100	7	18	18	NUM
ejpam-6281	100	8	(	(	PUNCT
ejpam-6281	100	9	3	3	NUM
ejpam-6281	100	10	)	)	PUNCT
ejpam-6281	100	11	(	(	PUNCT
ejpam-6281	100	12	2025	2025	NUM
ejpam-6281	100	13	)	)	PUNCT
ejpam-6281	100	14	,	,	PUNCT
ejpam-6281	100	15	6281	6281	NUM
ejpam-6281	100	16	6	6	NUM
ejpam-6281	100	17	of	of	ADP
ejpam-6281	100	18	35	35	NUM
ejpam-6281	100	19	the	the	DET
ejpam-6281	100	20	eom	eom	PROPN
ejpam-6281	100	21	are	be	AUX
ejpam-6281	100	22	formulated	formulate	VERB
ejpam-6281	100	23	according	accord	VERB
ejpam-6281	100	24	to	to	ADP
ejpam-6281	100	25	the	the	DET
ejpam-6281	100	26	equations	equation	NOUN
ejpam-6281	100	27	euler	euler	VERB
ejpam-6281	100	28	-	-	PUNCT
ejpam-6281	100	29	poisson	poisson	NOUN
ejpam-6281	100	30	’s	’s	PART
ejpam-6281	100	31	[	[	X
ejpam-6281	100	32	1	1	NUM
ejpam-6281	100	33	]	]	PUNCT
ejpam-6281	100	34	,	,	PUNCT
ejpam-6281	100	35	as	as	SCONJ
ejpam-6281	100	36	follows	follow	VERB
ejpam-6281	100	37	i1ṗ−	i1ṗ−	PROPN
ejpam-6281	100	38	(	(	PUNCT
ejpam-6281	100	39	i2	i2	PROPN
ejpam-6281	100	40	−	−	PROPN
ejpam-6281	100	41	i3)qr	i3)qr	PROPN
ejpam-6281	101	1	+	+	CCONJ
ejpam-6281	101	2	qλ3	qλ3	ADV
ejpam-6281	101	3	−	−	PROPN
ejpam-6281	101	4	rλ2	rλ2	ADJ
ejpam-6281	101	5	=	=	PRON
ejpam-6281	101	6	mg(γyg	mg(γyg	PROPN
ejpam-6281	101	7	−	−	PROPN
ejpam-6281	101	8	βzg)−n(i2	βzg)−n(i2	PROPN
ejpam-6281	101	9	−	−	PROPN
ejpam-6281	101	10	i3)βγ	i3)βγ	PROPN
ejpam-6281	101	11	,	,	PUNCT
ejpam-6281	101	12	i2q̇	i2q̇	ADJ
ejpam-6281	101	13	−	−	PROPN
ejpam-6281	101	14	(	(	PUNCT
ejpam-6281	101	15	i3	i3	NOUN
ejpam-6281	101	16	−	−	NOUN
ejpam-6281	101	17	i1)rp−	i1)rp−	ADJ
ejpam-6281	101	18	pλ3	pλ3	NOUN
ejpam-6281	101	19	=	=	NOUN
ejpam-6281	101	20	mg(αzg	mg(αzg	X
ejpam-6281	101	21	−	−	PROPN
ejpam-6281	101	22	γxg)−n(i3	γxg)−n(i3	PUNCT
ejpam-6281	101	23	−	−	PROPN
ejpam-6281	101	24	i1)γα	i1)γα	PROPN
ejpam-6281	101	25	,	,	PUNCT
ejpam-6281	101	26	i3ṙ	i3ṙ	VERB
ejpam-6281	101	27	−	−	PROPN
ejpam-6281	101	28	(	(	PUNCT
ejpam-6281	101	29	i1	i1	PROPN
ejpam-6281	101	30	−	−	PROPN
ejpam-6281	101	31	i2)pq	i2)pq	PROPN
ejpam-6281	101	32	+	+	CCONJ
ejpam-6281	101	33	pλ2	pλ2	NOUN
ejpam-6281	101	34	=	=	SYM
ejpam-6281	101	35	mg(βxg	mg(βxg	PROPN
ejpam-6281	101	36	−	−	PROPN
ejpam-6281	101	37	αyg)−n(i1	αyg)−n(i1	PROPN
ejpam-6281	101	38	−	−	PROPN
ejpam-6281	101	39	i2)αβ	i2)αβ	PROPN
ejpam-6281	101	40	,	,	PUNCT
ejpam-6281	101	41	α̇	α̇	NOUN
ejpam-6281	102	1	=	=	NOUN
ejpam-6281	102	2	rβ	rβ	NOUN
ejpam-6281	102	3	−	−	NOUN
ejpam-6281	102	4	qγ	qγ	PROPN
ejpam-6281	102	5	,	,	PUNCT
ejpam-6281	102	6	β̇	β̇	PROPN
ejpam-6281	102	7	=	=	PUNCT
ejpam-6281	102	8	pγ	pγ	PROPN
ejpam-6281	102	9	−	−	NUM
ejpam-6281	102	10	rα	rα	ADJ
ejpam-6281	102	11	,	,	PUNCT
ejpam-6281	102	12	γ̇	γ̇	PROPN
ejpam-6281	103	1	=	=	PUNCT
ejpam-6281	104	1	qα−	qα−	PUNCT
ejpam-6281	105	1	pβ	pβ	PROPN
ejpam-6281	105	2	.	.	PUNCT
ejpam-6281	106	1	(	(	PUNCT
ejpam-6281	106	2	1	1	X
ejpam-6281	106	3	)	)	PUNCT
ejpam-6281	106	4	it	it	PRON
ejpam-6281	106	5	is	be	AUX
ejpam-6281	106	6	important	important	ADJ
ejpam-6281	106	7	to	to	PART
ejpam-6281	106	8	note	note	VERB
ejpam-6281	106	9	that	that	SCONJ
ejpam-6281	106	10	the	the	DET
ejpam-6281	106	11	inertia	inertia	NOUN
ejpam-6281	106	12	principal	principal	NOUN
ejpam-6281	106	13	moments	moment	NOUN
ejpam-6281	106	14	are	be	AUX
ejpam-6281	106	15	denoted	denote	VERB
ejpam-6281	106	16	by	by	ADP
ejpam-6281	106	17	ij	ij	NOUN
ejpam-6281	106	18	along	along	ADP
ejpam-6281	106	19	the	the	DET
ejpam-6281	106	20	principal	principal	ADJ
ejpam-6281	106	21	axes	axis	NOUN
ejpam-6281	106	22	.	.	PUNCT
ejpam-6281	107	1	the	the	DET
ejpam-6281	107	2	over	over	ADP
ejpam-6281	107	3	dots	dot	NOUN
ejpam-6281	107	4	indicate	indicate	VERB
ejpam-6281	107	5	derivatives	derivative	NOUN
ejpam-6281	107	6	regarding	regard	VERB
ejpam-6281	107	7	time	time	NOUN
ejpam-6281	107	8	t	t	PROPN
ejpam-6281	107	9	,	,	PUNCT
ejpam-6281	107	10	g	g	PROPN
ejpam-6281	107	11	denotes	denote	VERB
ejpam-6281	107	12	gravitational	gravitational	ADJ
ejpam-6281	107	13	acceleration	acceleration	NOUN
ejpam-6281	107	14	,	,	PUNCT
ejpam-6281	107	15	n	n	NOUN
ejpam-6281	107	16	=	=	NOUN
ejpam-6281	107	17	3g	3g	NOUN
ejpam-6281	107	18	/	/	SYM
ejpam-6281	107	19	r	r	NOUN
ejpam-6281	107	20	and	and	CCONJ
ejpam-6281	107	21	ϵ	ϵ	PROPN
ejpam-6281	107	22	represent	represent	VERB
ejpam-6281	107	23	a	a	DET
ejpam-6281	107	24	large	large	ADJ
ejpam-6281	107	25	parameter	parameter	NOUN
ejpam-6281	107	26	.	.	PUNCT
ejpam-6281	108	1	in	in	ADP
ejpam-6281	108	2	this	this	DET
ejpam-6281	108	3	context	context	NOUN
ejpam-6281	108	4	,	,	PUNCT
ejpam-6281	108	5	(	(	PUNCT
ejpam-6281	108	6	p	p	X
ejpam-6281	108	7	,	,	PUNCT
ejpam-6281	108	8	q	q	ADJ
ejpam-6281	108	9	,	,	PUNCT
ejpam-6281	108	10	r	r	NOUN
ejpam-6281	108	11	)	)	PUNCT
ejpam-6281	108	12	,	,	PUNCT
ejpam-6281	108	13	(	(	PUNCT
ejpam-6281	108	14	α	α	X
ejpam-6281	108	15	,	,	PUNCT
ejpam-6281	108	16	β	β	X
ejpam-6281	108	17	,	,	PUNCT
ejpam-6281	108	18	γ	γ	NOUN
ejpam-6281	108	19	)	)	PUNCT
ejpam-6281	108	20	,	,	PUNCT
ejpam-6281	108	21	and	and	CCONJ
ejpam-6281	108	22	xg	xg	PROPN
ejpam-6281	108	23	,	,	PUNCT
ejpam-6281	108	24	yg	yg	PROPN
ejpam-6281	108	25	,	,	PUNCT
ejpam-6281	108	26	zg	zg	PROPN
ejpam-6281	108	27	)	)	PUNCT
ejpam-6281	108	28	refer	refer	VERB
ejpam-6281	108	29	to	to	ADP
ejpam-6281	108	30	the	the	DET
ejpam-6281	108	31	angular	angular	ADJ
ejpam-6281	108	32	velocity	velocity	NOUN
ejpam-6281	108	33	’s	’s	PART
ejpam-6281	108	34	components	component	NOUN
ejpam-6281	108	35	,	,	PUNCT
ejpam-6281	108	36	the	the	DET
ejpam-6281	108	37	unit	unit	NOUN
ejpam-6281	108	38	vector	vector	NOUN
ejpam-6281	108	39	along	along	ADP
ejpam-6281	108	40	the	the	DET
ejpam-6281	108	41	vertical	vertical	ADJ
ejpam-6281	108	42	z	z	NOUN
ejpam-6281	108	43	-	-	PUNCT
ejpam-6281	108	44	axis	axis	ADJ
ejpam-6281	108	45	,	,	PUNCT
ejpam-6281	108	46	and	and	CCONJ
ejpam-6281	108	47	the	the	DET
ejpam-6281	108	48	center	center	NOUN
ejpam-6281	108	49	of	of	ADP
ejpam-6281	108	50	mass	mass	NOUN
ejpam-6281	108	51	coordinates	coordinate	NOUN
ejpam-6281	108	52	in	in	ADP
ejpam-6281	108	53	the	the	DET
ejpam-6281	108	54	principal	principal	ADJ
ejpam-6281	108	55	axis	axis	NOUN
ejpam-6281	108	56	frame	frame	NOUN
ejpam-6281	108	57	,	,	PUNCT
ejpam-6281	108	58	respectively	respectively	ADV
ejpam-6281	108	59	.	.	PUNCT
ejpam-6281	109	1	the	the	DET
ejpam-6281	109	2	given	give	VERB
ejpam-6281	109	3	eom	eom	PROPN
ejpam-6281	109	4	have	have	VERB
ejpam-6281	109	5	three	three	NUM
ejpam-6281	109	6	first	first	ADJ
ejpam-6281	109	7	integrals	integral	NOUN
ejpam-6281	109	8	associated	associate	VERB
ejpam-6281	109	9	with	with	ADP
ejpam-6281	109	10	energy	energy	NOUN
ejpam-6281	109	11	,	,	PUNCT
ejpam-6281	109	12	area	area	NOUN
ejpam-6281	109	13	,	,	PUNCT
ejpam-6281	109	14	and	and	CCONJ
ejpam-6281	110	1	geometric	geometric	ADJ
ejpam-6281	110	2	one	one	NUM
ejpam-6281	110	3	[	[	X
ejpam-6281	110	4	1	1	NUM
ejpam-6281	110	5	]	]	PUNCT
ejpam-6281	110	6	i1p	i1p	NOUN
ejpam-6281	110	7	2	2	NUM
ejpam-6281	110	8	+	+	CCONJ
ejpam-6281	110	9	i2q	i2q	VERB
ejpam-6281	110	10	2	2	NUM
ejpam-6281	110	11	+	+	NUM
ejpam-6281	110	12	i3r	i3r	PROPN
ejpam-6281	110	13	2	2	NUM
ejpam-6281	110	14	−	−	PROPN
ejpam-6281	110	15	2mg(αxg	2mg(αxg	NUM
ejpam-6281	110	16	+	+	NUM
ejpam-6281	110	17	βyg	βyg	NOUN
ejpam-6281	110	18	+	+	CCONJ
ejpam-6281	110	19	γzg	γzg	ADV
ejpam-6281	110	20	)	)	PUNCT
ejpam-6281	110	21	+	+	ADJ
ejpam-6281	110	22	n(i1α	n(i1α	ADJ
ejpam-6281	110	23	2	2	NUM
ejpam-6281	110	24	+	+	NUM
ejpam-6281	110	25	i2β	i2β	NOUN
ejpam-6281	110	26	2	2	NUM
ejpam-6281	110	27	+	+	NUM
ejpam-6281	110	28	i3γ	i3γ	NOUN
ejpam-6281	110	29	2	2	NUM
ejpam-6281	110	30	)	)	PUNCT
ejpam-6281	111	1	=	=	SYM
ejpam-6281	111	2	i1p	i1p	ADJ
ejpam-6281	111	3	2	2	NUM
ejpam-6281	111	4	0	0	NUM
ejpam-6281	111	5	+	+	CCONJ
ejpam-6281	111	6	i2q	i2q	VERB
ejpam-6281	111	7	2	2	NUM
ejpam-6281	111	8	0	0	NUM
ejpam-6281	111	9	+	+	CCONJ
ejpam-6281	111	10	i3r	i3r	NOUN
ejpam-6281	111	11	2	2	NUM
ejpam-6281	111	12	0	0	NUM
ejpam-6281	111	13	−	−	PROPN
ejpam-6281	111	14	2mg(α0xg	2mg(α0xg	NUM
ejpam-6281	112	1	+	+	CCONJ
ejpam-6281	112	2	β0yg	β0yg	PUNCT
ejpam-6281	112	3	+	+	CCONJ
ejpam-6281	112	4	γ0zg	γ0zg	PUNCT
ejpam-6281	112	5	)	)	PUNCT
ejpam-6281	113	1	+	+	ADJ
ejpam-6281	113	2	n(i1α	n(i1α	ADJ
ejpam-6281	113	3	2	2	NUM
ejpam-6281	113	4	0	0	NUM
ejpam-6281	113	5	+	+	CCONJ
ejpam-6281	113	6	i2β	i2β	NOUN
ejpam-6281	113	7	2	2	NUM
ejpam-6281	113	8	0	0	NUM
ejpam-6281	113	9	+	+	NUM
ejpam-6281	113	10	i3γ	i3γ	NOUN
ejpam-6281	113	11	2	2	NUM
ejpam-6281	113	12	0	0	NUM
ejpam-6281	113	13	)	)	PUNCT
ejpam-6281	113	14	,	,	PUNCT
ejpam-6281	113	15	i1pα+	i1pα+	PROPN
ejpam-6281	113	16	(	(	PUNCT
ejpam-6281	113	17	i2q	i2q	VERB
ejpam-6281	113	18	+	+	NUM
ejpam-6281	113	19	λ2)β	λ2)β	NOUN
ejpam-6281	113	20	+	+	CCONJ
ejpam-6281	113	21	(	(	PUNCT
ejpam-6281	113	22	i3r	i3r	X
ejpam-6281	113	23	+	+	CCONJ
ejpam-6281	113	24	λ3)γ	λ3)γ	NOUN
ejpam-6281	113	25	=	=	PUNCT
ejpam-6281	114	1	i1p0α0	i1p0α0	VERB
ejpam-6281	115	1	+	+	CCONJ
ejpam-6281	115	2	(	(	PUNCT
ejpam-6281	115	3	i2q0	i2q0	PROPN
ejpam-6281	115	4	+	+	X
ejpam-6281	115	5	λ2)β0	λ2)β0	NOUN
ejpam-6281	115	6	+	+	CCONJ
ejpam-6281	115	7	(	(	PUNCT
ejpam-6281	115	8	i3r0	i3r0	X
ejpam-6281	115	9	+	+	X
ejpam-6281	115	10	λ3)γ0	λ3)γ0	NOUN
ejpam-6281	115	11	,	,	PUNCT
ejpam-6281	115	12	α2	α2	PROPN
ejpam-6281	115	13	+	+	CCONJ
ejpam-6281	115	14	β2	β2	NOUN
ejpam-6281	115	15	+	+	CCONJ
ejpam-6281	115	16	γ2	γ2	ADJ
ejpam-6281	115	17	=	=	SYM
ejpam-6281	115	18	1	1	NUM
ejpam-6281	115	19	,	,	PUNCT
ejpam-6281	115	20	(	(	PUNCT
ejpam-6281	115	21	2	2	X
ejpam-6281	115	22	)	)	PUNCT
ejpam-6281	115	23	where	where	SCONJ
ejpam-6281	115	24	p0	p0	NOUN
ejpam-6281	115	25	,	,	PUNCT
ejpam-6281	115	26	q0	q0	NOUN
ejpam-6281	115	27	,	,	PUNCT
ejpam-6281	115	28	r0	r0	NOUN
ejpam-6281	115	29	,	,	PUNCT
ejpam-6281	115	30	α0	α0	ADJ
ejpam-6281	115	31	,	,	PUNCT
ejpam-6281	115	32	β0	β0	NOUN
ejpam-6281	115	33	and	and	CCONJ
ejpam-6281	115	34	γ0	γ0	PROPN
ejpam-6281	115	35	represent	represent	VERB
ejpam-6281	115	36	the	the	DET
ejpam-6281	115	37	values	value	NOUN
ejpam-6281	115	38	of	of	ADP
ejpam-6281	115	39	p	p	X
ejpam-6281	115	40	,	,	PUNCT
ejpam-6281	115	41	q	q	ADJ
ejpam-6281	115	42	,	,	PUNCT
ejpam-6281	115	43	r	r	NOUN
ejpam-6281	115	44	,	,	PUNCT
ejpam-6281	115	45	α	α	NOUN
ejpam-6281	115	46	,	,	PUNCT
ejpam-6281	115	47	β	β	X
ejpam-6281	115	48	and	and	CCONJ
ejpam-6281	115	49	γ	γ	PROPN
ejpam-6281	115	50	and	and	CCONJ
ejpam-6281	115	51	t	t	PROPN
ejpam-6281	115	52	=	=	SYM
ejpam-6281	115	53	0	0	NUM
ejpam-6281	115	54	,	,	PUNCT
ejpam-6281	115	55	respectively	respectively	ADV
ejpam-6281	115	56	.	.	PUNCT
ejpam-6281	116	1	taking	take	VERB
ejpam-6281	116	2	the	the	DET
ejpam-6281	116	3	following	follow	VERB
ejpam-6281	116	4	parameters	parameter	NOUN
ejpam-6281	116	5	and	and	CCONJ
ejpam-6281	116	6	variables	variable	NOUN
ejpam-6281	116	7	into	into	ADP
ejpam-6281	116	8	consideration	consideration	NOUN
ejpam-6281	116	9	:	:	PUNCT
ejpam-6281	116	10	√	√	NUM
ejpam-6281	116	11	εp	εp	ADP
ejpam-6281	116	12	=	=	PROPN
ejpam-6281	116	13	p1	p1	PROPN
ejpam-6281	116	14	n	n	NOUN
ejpam-6281	116	15	,	,	PUNCT
ejpam-6281	116	16	√	√	NUM
ejpam-6281	116	17	εq	εq	VERB
ejpam-6281	116	18	=	=	SYM
ejpam-6281	116	19	q1	q1	PROPN
ejpam-6281	116	20	n	n	PRON
ejpam-6281	116	21	,	,	PUNCT
ejpam-6281	116	22	r	r	NOUN
ejpam-6281	116	23	=	=	SYM
ejpam-6281	116	24	r1	r1	PROPN
ejpam-6281	116	25	n	n	NOUN
ejpam-6281	116	26	,	,	PUNCT
ejpam-6281	116	27	√	√	PROPN
ejpam-6281	116	28	εα	εα	PROPN
ejpam-6281	116	29	=	=	SYM
ejpam-6281	116	30	α1	α1	PROPN
ejpam-6281	116	31	,	,	PUNCT
ejpam-6281	116	32	√	√	ADV
ejpam-6281	116	33	ε	ε	PROPN
ejpam-6281	116	34	β	β	X
ejpam-6281	116	35	=	=	SYM
ejpam-6281	116	36	β1	β1	PROPN
ejpam-6281	116	37	,	,	PUNCT
ejpam-6281	116	38	γ	γ	NOUN
ejpam-6281	116	39	=	=	SYM
ejpam-6281	116	40	γ1	γ1	PROPN
ejpam-6281	116	41	,	,	PUNCT
ejpam-6281	116	42	√	√	PROPN
ejpam-6281	116	43	ε	ε	PROPN
ejpam-6281	116	44	λ2	λ2	PROPN
ejpam-6281	116	45	=	=	PROPN
ejpam-6281	116	46	i2	i2	PROPN
ejpam-6281	116	47	n	n	CCONJ
ejpam-6281	116	48	λ́2	λ́2	NOUN
ejpam-6281	116	49	,	,	PUNCT
ejpam-6281	116	50	λ3	λ3	PROPN
ejpam-6281	116	51	=	=	SYM
ejpam-6281	116	52	i3	i3	NOUN
ejpam-6281	116	53	n	n	PRON
ejpam-6281	116	54	λ́3	λ́3	NOUN
ejpam-6281	116	55	,	,	PUNCT
ejpam-6281	116	56	t	t	NOUN
ejpam-6281	116	57	=	=	SYM
ejpam-6281	116	58	nτ	nτ	ADJ
ejpam-6281	116	59	,	,	PUNCT
ejpam-6281	116	60	n	n	NOUN
ejpam-6281	116	61	=	=	PUNCT
ejpam-6281	116	62	√	√	PROPN
ejpam-6281	116	63	i1	i1	PROPN
ejpam-6281	116	64	/	/	SYM
ejpam-6281	116	65	mgzg	mgzg	PROPN
ejpam-6281	116	66	,	,	PUNCT
ejpam-6281	116	67	a	a	DET
ejpam-6281	116	68	=	=	X
ejpam-6281	116	69	(	(	PUNCT
ejpam-6281	116	70	i1	i1	PROPN
ejpam-6281	116	71	−	−	PROPN
ejpam-6281	116	72	i3)/i1	i3)/i1	PROPN
ejpam-6281	116	73	,	,	PUNCT
ejpam-6281	116	74	b	b	NOUN
ejpam-6281	116	75	=	=	SYM
ejpam-6281	116	76	i3	i3	PROPN
ejpam-6281	116	77	/	/	SYM
ejpam-6281	116	78	i1	i1	PROPN
ejpam-6281	116	79	,	,	PUNCT
ejpam-6281	116	80	i1	i1	PROPN
ejpam-6281	116	81	=	=	PROPN
ejpam-6281	116	82	i2	i2	PROPN
ejpam-6281	116	83	̸=	̸=	PROPN
ejpam-6281	116	84	i3	i3	NOUN
ejpam-6281	116	85	,	,	PUNCT
ejpam-6281	116	86	√	√	ADV
ejpam-6281	116	87	εxg	εxg	NOUN
ejpam-6281	116	88	=	=	SYM
ejpam-6281	116	89	zg	zg	PROPN
ejpam-6281	116	90	,	,	PUNCT
ejpam-6281	116	91	yg	yg	PROPN
ejpam-6281	116	92	=	=	PROPN
ejpam-6281	116	93	0	0	PROPN
ejpam-6281	116	94	,	,	PUNCT
ejpam-6281	116	95	k	k	NOUN
ejpam-6281	116	96	=	=	PUNCT
ejpam-6281	116	97	nan2	nan2	PROPN
ejpam-6281	116	98	.	.	PUNCT
ejpam-6281	117	1	(	(	PUNCT
ejpam-6281	117	2	3	3	X
ejpam-6281	117	3	)	)	PUNCT
ejpam-6281	117	4	upon	upon	SCONJ
ejpam-6281	117	5	substituting	substitute	VERB
ejpam-6281	117	6	(	(	PUNCT
ejpam-6281	117	7	3	3	NUM
ejpam-6281	117	8	)	)	PUNCT
ejpam-6281	117	9	into	into	ADP
ejpam-6281	117	10	(	(	PUNCT
ejpam-6281	117	11	1	1	NUM
ejpam-6281	117	12	)	)	PUNCT
ejpam-6281	117	13	and	and	CCONJ
ejpam-6281	117	14	(	(	PUNCT
ejpam-6281	117	15	2	2	NUM
ejpam-6281	117	16	)	)	PUNCT
ejpam-6281	117	17	,	,	PUNCT
ejpam-6281	117	18	the	the	DET
ejpam-6281	117	19	following	follow	VERB
ejpam-6281	117	20	equivalent	equivalent	ADJ
ejpam-6281	117	21	system	system	NOUN
ejpam-6281	117	22	is	be	AUX
ejpam-6281	117	23	obtained	obtain	VERB
ejpam-6281	117	24	dp1	dp1	PROPN
ejpam-6281	117	25	dτ	dτ	NOUN
ejpam-6281	117	26	=	=	SYM
ejpam-6281	117	27	aq1r1	aq1r1	PROPN
ejpam-6281	117	28	+	+	CCONJ
ejpam-6281	117	29	r1λ́2	r1λ́2	ADJ
ejpam-6281	117	30	−	−	PROPN
ejpam-6281	117	31	q1λ́3	q1λ́3	NOUN
ejpam-6281	117	32	−	−	PROPN
ejpam-6281	117	33	β1	β1	PROPN
ejpam-6281	117	34	−	−	PROPN
ejpam-6281	117	35	kβ1γ1	kβ1γ1	PROPN
ejpam-6281	117	36	,	,	PUNCT
ejpam-6281	117	37	dq1	dq1	ADJ
ejpam-6281	117	38	dτ	dτ	NOUN
ejpam-6281	117	39	=	=	SYM
ejpam-6281	117	40	−ap1r1	−ap1r1	NOUN
ejpam-6281	117	41	+	+	NUM
ejpam-6281	117	42	p1λ́3	p1λ́3	NOUN
ejpam-6281	117	43	+	+	CCONJ
ejpam-6281	117	44	α1	α1	PROPN
ejpam-6281	117	45	−	−	PROPN
ejpam-6281	117	46	γ1	γ1	NOUN
ejpam-6281	117	47	+	+	CCONJ
ejpam-6281	117	48	kα1γ1	kα1γ1	PROPN
ejpam-6281	117	49	,	,	PUNCT
ejpam-6281	117	50	εdr1dτ	εdr1dτ	VERB
ejpam-6281	117	51	=	=	SYM
ejpam-6281	117	52	−(p1λ́2	−(p1λ́2	NUM
ejpam-6281	117	53	−	−	NUM
ejpam-6281	117	54	1	1	NUM
ejpam-6281	117	55	bβ1	bβ1	NOUN
ejpam-6281	117	56	)	)	PUNCT
ejpam-6281	117	57	,	,	PUNCT
ejpam-6281	117	58	dα1	dα1	NOUN
ejpam-6281	117	59	dτ	dτ	NOUN
ejpam-6281	117	60	=	=	SYM
ejpam-6281	117	61	r1β1	r1β1	PROPN
ejpam-6281	117	62	−	−	NOUN
ejpam-6281	117	63	q1γ1	q1γ1	NOUN
ejpam-6281	117	64	,	,	PUNCT
ejpam-6281	117	65	dβ1	dβ1	VERB
ejpam-6281	117	66	dτ	dτ	NOUN
ejpam-6281	117	67	=	=	PUNCT
ejpam-6281	117	68	p1γ1	p1γ1	NOUN
ejpam-6281	117	69	−	−	PUNCT
ejpam-6281	117	70	r1α1	r1α1	NOUN
ejpam-6281	117	71	,	,	PUNCT
ejpam-6281	117	72	ε	ε	PROPN
ejpam-6281	117	73	dγ1	dγ1	PROPN
ejpam-6281	117	74	dτ	dτ	NOUN
ejpam-6281	117	75	=	=	SYM
ejpam-6281	117	76	(	(	PUNCT
ejpam-6281	117	77	q1α1	q1α1	PROPN
ejpam-6281	117	78	−	−	PROPN
ejpam-6281	117	79	p1β1	p1β1	NOUN
ejpam-6281	117	80	)	)	PUNCT
ejpam-6281	117	81	,	,	PUNCT
ejpam-6281	117	82	(	(	PUNCT
ejpam-6281	117	83	4	4	X
ejpam-6281	117	84	)	)	PUNCT
ejpam-6281	117	85	p21	p21	NOUN
ejpam-6281	117	86	+	+	CCONJ
ejpam-6281	117	87	q21	q21	ADJ
ejpam-6281	117	88	−	−	PROPN
ejpam-6281	117	89	2α1	2α1	NUM
ejpam-6281	118	1	+	+	CCONJ
ejpam-6281	118	2	ε(br21	ε(br21	PUNCT
ejpam-6281	118	3	−	−	ADP
ejpam-6281	118	4	2γ1	2γ1	NUM
ejpam-6281	118	5	−	−	PROPN
ejpam-6281	118	6	kγ21	kγ21	PROPN
ejpam-6281	118	7	)	)	PUNCT
ejpam-6281	118	8	=	=	SYM
ejpam-6281	119	1	p210	p210	PROPN
ejpam-6281	119	2	+	+	NUM
ejpam-6281	119	3	q210	q210	PROPN
ejpam-6281	119	4	−	−	PROPN
ejpam-6281	119	5	2α10	2α10	NOUN
ejpam-6281	119	6	+	+	CCONJ
ejpam-6281	119	7	ε(br210	ε(br210	PROPN
ejpam-6281	119	8	−	−	PROPN
ejpam-6281	119	9	2γ10	2γ10	NOUN
ejpam-6281	119	10	−	−	PROPN
ejpam-6281	120	1	kγ210	kγ210	PROPN
ejpam-6281	120	2	)	)	PUNCT
ejpam-6281	120	3	,	,	PUNCT
ejpam-6281	120	4	p1α1	p1α1	X
ejpam-6281	120	5	+	+	CCONJ
ejpam-6281	120	6	(	(	PUNCT
ejpam-6281	120	7	q1	q1	PROPN
ejpam-6281	120	8	+	+	CCONJ
ejpam-6281	120	9	λ́2)β1	λ́2)β1	NOUN
ejpam-6281	120	10	+	+	X
ejpam-6281	120	11	ε(br1	ε(br1	X
ejpam-6281	121	1	+	+	SYM
ejpam-6281	121	2	λ́3)γ1	λ́3)γ1	X
ejpam-6281	121	3	=	=	NOUN
ejpam-6281	121	4	p10α10	p10α10	NOUN
ejpam-6281	121	5	+	+	CCONJ
ejpam-6281	121	6	(	(	PUNCT
ejpam-6281	121	7	q10	q10	PROPN
ejpam-6281	121	8	+	+	CCONJ
ejpam-6281	121	9	λ́2)β10	λ́2)β10	PROPN
ejpam-6281	121	10	+	+	CCONJ
ejpam-6281	121	11	ε(br10	ε(br10	PROPN
ejpam-6281	122	1	+	+	NUM
ejpam-6281	122	2	λ́3)γ10	λ́3)γ10	NOUN
ejpam-6281	122	3	,	,	PUNCT
ejpam-6281	122	4	α2	α2	NOUN
ejpam-6281	122	5	1	1	NUM
ejpam-6281	122	6	+	+	CCONJ
ejpam-6281	122	7	β21	β21	ADV
ejpam-6281	123	1	+	+	CCONJ
ejpam-6281	123	2	εγ21	εγ21	PROPN
ejpam-6281	123	3	=	=	SYM
ejpam-6281	123	4	ε	ε	PROPN
ejpam-6281	123	5	.	.	PUNCT
ejpam-6281	123	6	(	(	PUNCT
ejpam-6281	123	7	5	5	NUM
ejpam-6281	123	8	)	)	PUNCT
ejpam-6281	123	9	3	3	NUM
ejpam-6281	123	10	.	.	PUNCT
ejpam-6281	124	1	the	the	DET
ejpam-6281	124	2	used	use	VERB
ejpam-6281	124	3	approach	approach	NOUN
ejpam-6281	124	4	this	this	DET
ejpam-6281	124	5	section	section	NOUN
ejpam-6281	124	6	aims	aim	VERB
ejpam-6281	124	7	to	to	PART
ejpam-6281	124	8	apply	apply	VERB
ejpam-6281	124	9	the	the	DET
ejpam-6281	124	10	lpa	lpa	PROPN
ejpam-6281	124	11	[	[	X
ejpam-6281	124	12	27	27	NUM
ejpam-6281	124	13	,	,	PUNCT
ejpam-6281	124	14	28	28	NUM
ejpam-6281	124	15	]	]	PUNCT
ejpam-6281	124	16	to	to	PART
ejpam-6281	124	17	achieve	achieve	VERB
ejpam-6281	124	18	the	the	DET
ejpam-6281	124	19	solutions	solution	NOUN
ejpam-6281	124	20	for	for	ADP
ejpam-6281	124	21	the	the	DET
ejpam-6281	124	22	rb	rb	NOUN
ejpam-6281	124	23	under	under	ADP
ejpam-6281	124	24	investigation	investigation	NOUN
ejpam-6281	124	25	.	.	PUNCT
ejpam-6281	125	1	to	to	PART
ejpam-6281	125	2	achieve	achieve	VERB
ejpam-6281	125	3	this	this	DET
ejpam-6281	125	4	aim	aim	NOUN
ejpam-6281	125	5	,	,	PUNCT
ejpam-6281	125	6	we	we	PRON
ejpam-6281	125	7	can	can	AUX
ejpam-6281	125	8	use	use	VERB
ejpam-6281	125	9	the	the	DET
ejpam-6281	125	10	above	above	ADJ
ejpam-6281	125	11	first	first	ADJ
ejpam-6281	125	12	integrals	integral	NOUN
ejpam-6281	125	13	to	to	PART
ejpam-6281	125	14	represent	represent	VERB
ejpam-6281	125	15	r1andγ1	r1andγ1	NOUN
ejpam-6281	125	16	,	,	PUNCT
ejpam-6281	125	17	as	as	SCONJ
ejpam-6281	125	18	follows	follow	VERB
ejpam-6281	125	19	εr1	εr1	NOUN
ejpam-6281	125	20	=	=	SYM
ejpam-6281	125	21	εr10	εr10	PROPN
ejpam-6281	125	22	−	−	PROPN
ejpam-6281	125	23	u2	u2	NOUN
ejpam-6281	125	24	,	,	PUNCT
ejpam-6281	125	25	εγ1	εγ1	NOUN
ejpam-6281	125	26	=	=	SYM
ejpam-6281	125	27	ε−	ε−	NUM
ejpam-6281	125	28	u1	u1	NOUN
ejpam-6281	125	29	,	,	PUNCT
ejpam-6281	125	30	(	(	PUNCT
ejpam-6281	125	31	6	6	NUM
ejpam-6281	125	32	)	)	PUNCT
ejpam-6281	125	33	t.	t.	PROPN
ejpam-6281	125	34	s.	s.	PROPN
ejpam-6281	125	35	amer	amer	PROPN
ejpam-6281	125	36	et	et	PROPN
ejpam-6281	125	37	al	al	PROPN
ejpam-6281	125	38	.	.	PUNCT
ejpam-6281	125	39	/	/	SYM
ejpam-6281	125	40	eur	eur	PROPN
ejpam-6281	125	41	.	.	PUNCT
ejpam-6281	126	1	j.	j.	PROPN
ejpam-6281	126	2	pure	pure	PROPN
ejpam-6281	126	3	appl	appl	PROPN
ejpam-6281	126	4	.	.	PROPN
ejpam-6281	126	5	math	math	PROPN
ejpam-6281	126	6	,	,	PUNCT
ejpam-6281	126	7	18	18	NUM
ejpam-6281	126	8	(	(	PUNCT
ejpam-6281	126	9	3	3	NUM
ejpam-6281	126	10	)	)	PUNCT
ejpam-6281	126	11	(	(	PUNCT
ejpam-6281	126	12	2025	2025	NUM
ejpam-6281	126	13	)	)	PUNCT
ejpam-6281	126	14	,	,	PUNCT
ejpam-6281	126	15	6281	6281	NUM
ejpam-6281	126	16	7	7	NUM
ejpam-6281	126	17	of	of	ADP
ejpam-6281	126	18	35	35	NUM
ejpam-6281	126	19	where	where	SCONJ
ejpam-6281	126	20	u1	u1	NOUN
ejpam-6281	126	21	=	=	NOUN
ejpam-6281	126	22	1	1	NUM
ejpam-6281	126	23	8(4u1	8(4u1	NUM
ejpam-6281	126	24	+	+	NUM
ejpam-6281	126	25	ε−1u2	ε−1u2	NOUN
ejpam-6281	126	26	1	1	NUM
ejpam-6281	126	27	)	)	PUNCT
ejpam-6281	127	1	+	+	CCONJ
ejpam-6281	127	2	...	...	PUNCT
ejpam-6281	127	3	,	,	PUNCT
ejpam-6281	127	4	u2	u2	NOUN
ejpam-6281	127	5	=	=	NOUN
ejpam-6281	127	6	1	1	NUM
ejpam-6281	127	7	8br10	8br10	NUM
ejpam-6281	127	8	{	{	PUNCT
ejpam-6281	127	9	r210[4(u2	r210[4(u2	NUM
ejpam-6281	127	10	−	−	PROPN
ejpam-6281	127	11	u20	u20	PROPN
ejpam-6281	127	12	)	)	PUNCT
ejpam-6281	128	1	+	+	SYM
ejpam-6281	128	2	ε−1(u2	ε−1(u2	CCONJ
ejpam-6281	128	3	1	1	NUM
ejpam-6281	128	4	−	−	PROPN
ejpam-6281	128	5	u2	u2	NOUN
ejpam-6281	128	6	10	10	NUM
ejpam-6281	128	7	)	)	PUNCT
ejpam-6281	128	8	]	]	PUNCT
ejpam-6281	129	1	+	+	CCONJ
ejpam-6281	129	2	ε−2	ε−2	PROPN
ejpam-6281	129	3	br210	br210	PROPN
ejpam-6281	129	4	(	(	PUNCT
ejpam-6281	129	5	u2	u2	PROPN
ejpam-6281	129	6	−	−	PROPN
ejpam-6281	129	7	u20	u20	PROPN
ejpam-6281	129	8	)	)	PUNCT
ejpam-6281	129	9	2	2	NUM
ejpam-6281	129	10	+	+	CCONJ
ejpam-6281	129	11	...	...	PUNCT
ejpam-6281	129	12	}	}	PUNCT
ejpam-6281	129	13	,	,	PUNCT
ejpam-6281	129	14	u1	u1	NOUN
ejpam-6281	129	15	=	=	SYM
ejpam-6281	129	16	α2	α2	ADJ
ejpam-6281	129	17	1	1	NUM
ejpam-6281	129	18	+	+	CCONJ
ejpam-6281	129	19	β21	β21	ADV
ejpam-6281	129	20	,	,	PUNCT
ejpam-6281	129	21	u2	u2	PROPN
ejpam-6281	129	22	=	=	PUNCT
ejpam-6281	129	23	p21	p21	PROPN
ejpam-6281	129	24	+	+	CCONJ
ejpam-6281	129	25	q21	q21	ADJ
ejpam-6281	129	26	−	−	PROPN
ejpam-6281	129	27	2α1	2α1	NUM
ejpam-6281	129	28	+	+	CCONJ
ejpam-6281	129	29	u1(k	u1(k	X
ejpam-6281	129	30	+	+	ADJ
ejpam-6281	129	31	1	1	NUM
ejpam-6281	129	32	)	)	PUNCT
ejpam-6281	129	33	.	.	PUNCT
ejpam-6281	130	1	(	(	PUNCT
ejpam-6281	130	2	7	7	X
ejpam-6281	130	3	)	)	PUNCT
ejpam-6281	130	4	here	here	ADV
ejpam-6281	130	5	,	,	PUNCT
ejpam-6281	130	6	us0	us0	PROPN
ejpam-6281	130	7	;	;	PUNCT
ejpam-6281	130	8	(	(	PUNCT
ejpam-6281	130	9	s	s	NOUN
ejpam-6281	130	10	=	=	SYM
ejpam-6281	130	11	1	1	NUM
ejpam-6281	130	12	,	,	PUNCT
ejpam-6281	130	13	2	2	NUM
ejpam-6281	130	14	)	)	PUNCT
ejpam-6281	130	15	stands	stand	VERB
ejpam-6281	130	16	for	for	ADP
ejpam-6281	130	17	the	the	DET
ejpam-6281	130	18	values	value	NOUN
ejpam-6281	130	19	of	of	ADP
ejpam-6281	130	20	us	we	PRON
ejpam-6281	130	21	at	at	ADP
ejpam-6281	130	22	t	t	PROPN
ejpam-6281	130	23	=	=	SYM
ejpam-6281	130	24	0	0	NUM
ejpam-6281	130	25	,	,	PUNCT
ejpam-6281	130	26	whereas	whereas	SCONJ
ejpam-6281	130	27	the	the	DET
ejpam-6281	130	28	dots	dot	NOUN
ejpam-6281	130	29	represent	represent	VERB
ejpam-6281	130	30	small	small	ADJ
ejpam-6281	130	31	terms	term	NOUN
ejpam-6281	130	32	of	of	ADP
ejpam-6281	130	33	higher	high	ADJ
ejpam-6281	130	34	-	-	PUNCT
ejpam-6281	130	35	order	order	NOUN
ejpam-6281	130	36	powers	power	NOUN
ejpam-6281	130	37	of	of	ADP
ejpam-6281	130	38	ε−1	ε−1	PROPN
ejpam-6281	130	39	.	.	PUNCT
ejpam-6281	131	1	to	to	PART
ejpam-6281	131	2	refine	refine	VERB
ejpam-6281	131	3	system	system	NOUN
ejpam-6281	131	4	(	(	PUNCT
ejpam-6281	131	5	4	4	NUM
ejpam-6281	131	6	)	)	PUNCT
ejpam-6281	131	7	into	into	ADP
ejpam-6281	131	8	a	a	DET
ejpam-6281	131	9	more	more	ADV
ejpam-6281	131	10	practical	practical	ADJ
ejpam-6281	131	11	form	form	NOUN
ejpam-6281	131	12	,	,	PUNCT
ejpam-6281	131	13	we	we	PRON
ejpam-6281	131	14	remove	remove	VERB
ejpam-6281	131	15	r1	r1	NOUN
ejpam-6281	131	16	and	and	CCONJ
ejpam-6281	131	17	γ1	γ1	NOUN
ejpam-6281	131	18	from	from	ADP
ejpam-6281	131	19	(	(	PUNCT
ejpam-6281	131	20	4	4	NUM
ejpam-6281	131	21	)	)	PUNCT
ejpam-6281	131	22	.	.	PUNCT
ejpam-6281	132	1	by	by	ADP
ejpam-6281	132	2	incorporating	incorporate	VERB
ejpam-6281	132	3	(	(	PUNCT
ejpam-6281	132	4	6	6	NUM
ejpam-6281	132	5	)	)	PUNCT
ejpam-6281	132	6	into	into	ADP
ejpam-6281	132	7	(	(	PUNCT
ejpam-6281	132	8	4	4	NUM
ejpam-6281	132	9	)	)	PUNCT
ejpam-6281	132	10	,	,	PUNCT
ejpam-6281	132	11	yields	yield	VERB
ejpam-6281	132	12	the	the	DET
ejpam-6281	132	13	following	follow	VERB
ejpam-6281	132	14	nonlinear	nonlinear	ADJ
ejpam-6281	132	15	system	system	NOUN
ejpam-6281	132	16	of	of	ADP
ejpam-6281	132	17	first	first	ADJ
ejpam-6281	132	18	-	-	PUNCT
ejpam-6281	132	19	order	order	NOUN
ejpam-6281	132	20	differential	differential	ADJ
ejpam-6281	132	21	equations	equation	NOUN
ejpam-6281	132	22	εdp2dτ	εdp2dτ	PUNCT
ejpam-6281	132	23	=	=	SYM
ejpam-6281	132	24	ελ́2r10(1	ελ́2r10(1	PROPN
ejpam-6281	132	25	+	+	CCONJ
ejpam-6281	132	26	χδ	χδ	X
ejpam-6281	132	27	)	)	PUNCT
ejpam-6281	132	28	+	+	CCONJ
ejpam-6281	133	1	ερ1q2	ερ1q2	PROPN
ejpam-6281	133	2	+	+	PROPN
ejpam-6281	133	3	n1	n1	NOUN
ejpam-6281	133	4	,	,	PUNCT
ejpam-6281	133	5	εdq2dτ	εdq2dτ	X
ejpam-6281	133	6	=	=	SYM
ejpam-6281	133	7	−ερ1p2	−ερ1p2	VERB
ejpam-6281	133	8	+	+	PROPN
ejpam-6281	133	9	n2	n2	ADJ
ejpam-6281	133	10	,	,	PUNCT
ejpam-6281	133	11	εdα2	εdα2	NOUN
ejpam-6281	133	12	dτ	dτ	NOUN
ejpam-6281	133	13	=	=	SYM
ejpam-6281	133	14	εδλ́2r10	εδλ́2r10	PROPN
ejpam-6281	134	1	+	+	CCONJ
ejpam-6281	134	2	ερ2β2	ερ2β2	PROPN
ejpam-6281	134	3	+	+	ADJ
ejpam-6281	134	4	n3	n3	ADJ
ejpam-6281	134	5	,	,	PUNCT
ejpam-6281	134	6	εdβ2	εdβ2	PROPN
ejpam-6281	134	7	dτ	dτ	NOUN
ejpam-6281	134	8	=	=	PROPN
ejpam-6281	134	9	−ερ2α2	−ερ2α2	PROPN
ejpam-6281	134	10	+	+	PROPN
ejpam-6281	134	11	n4	n4	PROPN
ejpam-6281	134	12	,	,	PUNCT
ejpam-6281	134	13	(	(	PUNCT
ejpam-6281	134	14	8)	8)	NUM
ejpam-6281	134	15	where	where	SCONJ
ejpam-6281	134	16	p1	p1	NOUN
ejpam-6281	134	17	=	=	PUNCT
ejpam-6281	134	18	p2	p2	PROPN
ejpam-6281	134	19	+	+	CCONJ
ejpam-6281	134	20	χα2	χα2	X
ejpam-6281	134	21	+	+	CCONJ
ejpam-6281	134	22	d1	d1	NOUN
ejpam-6281	134	23	,	,	PUNCT
ejpam-6281	134	24	q1	q1	NOUN
ejpam-6281	134	25	=	=	SYM
ejpam-6281	134	26	q2	q2	PROPN
ejpam-6281	134	27	+	+	CCONJ
ejpam-6281	134	28	χβ2	χβ2	PROPN
ejpam-6281	134	29	,	,	PUNCT
ejpam-6281	134	30	α1	α1	PROPN
ejpam-6281	134	31	=	=	SYM
ejpam-6281	134	32	(	(	PUNCT
ejpam-6281	134	33	1	1	NUM
ejpam-6281	134	34	+	+	NUM
ejpam-6281	134	35	χδ)α2	χδ)α2	X
ejpam-6281	134	36	+	+	CCONJ
ejpam-6281	134	37	δp2	δp2	NOUN
ejpam-6281	134	38	+	+	CCONJ
ejpam-6281	134	39	d2	d2	PROPN
ejpam-6281	134	40	,	,	PUNCT
ejpam-6281	134	41	β1	β1	PROPN
ejpam-6281	134	42	=	=	PUNCT
ejpam-6281	134	43	(	(	PUNCT
ejpam-6281	134	44	1	1	NUM
ejpam-6281	134	45	+	+	NUM
ejpam-6281	134	46	χδ)β2	χδ)β2	NOUN
ejpam-6281	134	47	+	+	CCONJ
ejpam-6281	134	48	δq2	δq2	ADV
ejpam-6281	134	49	,	,	PUNCT
ejpam-6281	134	50	χ	χ	NOUN
ejpam-6281	134	51	=	=	PUNCT
ejpam-6281	134	52	−(1	−(1	NOUN
ejpam-6281	134	53	+	+	CCONJ
ejpam-6281	134	54	k)/±	k)/±	NOUN
ejpam-6281	134	55	√	√	PROPN
ejpam-6281	134	56	(	(	PUNCT
ejpam-6281	134	57	br10	br10	PROPN
ejpam-6281	134	58	+	+	NUM
ejpam-6281	134	59	λ́3)2	λ́3)2	PROPN
ejpam-6281	134	60	+	+	NUM
ejpam-6281	134	61	4(1	4(1	NUM
ejpam-6281	135	1	+	+	CCONJ
ejpam-6281	135	2	k	k	NOUN
ejpam-6281	135	3	)	)	PUNCT
ejpam-6281	135	4	,	,	PUNCT
ejpam-6281	135	5	δ	δ	X
ejpam-6281	136	1	=	=	PUNCT
ejpam-6281	137	1	[	[	X
ejpam-6281	137	2	−(br10	−(br10	NOUN
ejpam-6281	137	3	+	+	X
ejpam-6281	137	4	λ́3)±	λ́3)±	X
ejpam-6281	137	5	√	√	INTJ
ejpam-6281	137	6	(	(	PUNCT
ejpam-6281	137	7	br10	br10	PROPN
ejpam-6281	137	8	+	+	NUM
ejpam-6281	137	9	λ́3)2	λ́3)2	PROPN
ejpam-6281	137	10	+	+	NUM
ejpam-6281	137	11	4(1	4(1	NUM
ejpam-6281	137	12	+	+	CCONJ
ejpam-6281	137	13	k)]/2(1	k)]/2(1	NOUN
ejpam-6281	137	14	+	+	CCONJ
ejpam-6281	137	15	k	k	NOUN
ejpam-6281	137	16	)	)	PUNCT
ejpam-6281	137	17	,	,	PUNCT
ejpam-6281	137	18	d1	d1	PROPN
ejpam-6281	137	19	=	=	PUNCT
ejpam-6281	138	1	r10/(1	r10/(1	PROPN
ejpam-6281	138	2	+	+	CCONJ
ejpam-6281	138	3	k	k	X
ejpam-6281	139	1	+	+	PUNCT
ejpam-6281	139	2	r10λ́3	r10λ́3	NOUN
ejpam-6281	139	3	−	−	PROPN
ejpam-6281	139	4	ar210	ar210	PROPN
ejpam-6281	139	5	)	)	PUNCT
ejpam-6281	139	6	,	,	PUNCT
ejpam-6281	139	7	d2	d2	NOUN
ejpam-6281	139	8	=	=	SYM
ejpam-6281	139	9	d1	d1	PROPN
ejpam-6281	139	10	/	/	SYM
ejpam-6281	139	11	r10	r10	NOUN
ejpam-6281	139	12	,	,	PUNCT
ejpam-6281	139	13	ρ1	ρ1	NOUN
ejpam-6281	139	14	=	=	PUNCT
ejpam-6281	139	15	χ(1−	χ(1−	ADJ
ejpam-6281	139	16	r10δ	r10δ	NUM
ejpam-6281	139	17	)	)	PUNCT
ejpam-6281	140	1	+	+	CCONJ
ejpam-6281	140	2	(	(	PUNCT
ejpam-6281	140	3	ar10	ar10	PROPN
ejpam-6281	140	4	−	−	PROPN
ejpam-6281	140	5	δ(1	δ(1	PROPN
ejpam-6281	140	6	+	+	CCONJ
ejpam-6281	140	7	k)−	k)−	PROPN
ejpam-6281	140	8	λ́3)(1	λ́3)(1	X
ejpam-6281	140	9	+	+	PUNCT
ejpam-6281	140	10	χδ	χδ	ADJ
ejpam-6281	140	11	)	)	PUNCT
ejpam-6281	140	12	,	,	PUNCT
ejpam-6281	140	13	ρ2	ρ2	NOUN
ejpam-6281	140	14	=	=	SYM
ejpam-6281	140	15	χ[δ(λ́3	χ[δ(λ́3	PROPN
ejpam-6281	140	16	−	−	PROPN
ejpam-6281	140	17	ar10)−	ar10)−	NOUN
ejpam-6281	140	18	1	1	NUM
ejpam-6281	140	19	]	]	PUNCT
ejpam-6281	140	20	+	+	CCONJ
ejpam-6281	140	21	(	(	PUNCT
ejpam-6281	140	22	r10	r10	NOUN
ejpam-6281	140	23	+	+	X
ejpam-6281	140	24	δ(1	δ(1	NOUN
ejpam-6281	140	25	+	+	CCONJ
ejpam-6281	140	26	k))(1	k))(1	NOUN
ejpam-6281	140	27	+	+	ADJ
ejpam-6281	140	28	χδ	χδ	PROPN
ejpam-6281	140	29	)	)	PUNCT
ejpam-6281	140	30	,	,	PUNCT
ejpam-6281	140	31	n1	n1	NOUN
ejpam-6281	140	32	=	=	SYM
ejpam-6281	140	33	χ(u2β1	χ(u2β1	NOUN
ejpam-6281	140	34	−	−	PROPN
ejpam-6281	140	35	q1u1)−	q1u1)−	NOUN
ejpam-6281	140	36	(	(	PUNCT
ejpam-6281	140	37	1	1	NUM
ejpam-6281	140	38	+	+	NUM
ejpam-6281	140	39	χδ)[(aq1	χδ)[(aq1	NOUN
ejpam-6281	140	40	+	+	CCONJ
ejpam-6281	140	41	λ́2)u2	λ́2)u2	NOUN
ejpam-6281	140	42	−	−	PUNCT
ejpam-6281	141	1	ku1β1	ku1β1	PROPN
ejpam-6281	141	2	]	]	PUNCT
ejpam-6281	141	3	,	,	PUNCT
ejpam-6281	141	4	n2	n2	NOUN
ejpam-6281	141	5	=	=	PUNCT
ejpam-6281	141	6	χ(u1p1	χ(u1p1	VERB
ejpam-6281	141	7	−	−	PROPN
ejpam-6281	141	8	u2α1	u2α1	NOUN
ejpam-6281	141	9	)	)	PUNCT
ejpam-6281	141	10	+	+	CCONJ
ejpam-6281	141	11	(	(	PUNCT
ejpam-6281	141	12	1	1	NUM
ejpam-6281	141	13	+	+	CCONJ
ejpam-6281	141	14	χδ)[ap1u2	χδ)[ap1u2	ADJ
ejpam-6281	141	15	+	+	ADJ
ejpam-6281	141	16	u1	u1	NOUN
ejpam-6281	141	17	−	−	PROPN
ejpam-6281	142	1	kα1u1	kα1u1	NOUN
ejpam-6281	142	2	]	]	PROPN
ejpam-6281	142	3	,	,	PUNCT
ejpam-6281	142	4	n3	n3	NOUN
ejpam-6281	142	5	=	=	PUNCT
ejpam-6281	142	6	δ[(aq1	δ[(aq1	NOUN
ejpam-6281	143	1	+	+	CCONJ
ejpam-6281	143	2	λ́2)u2	λ́2)u2	PROPN
ejpam-6281	143	3	−	−	PROPN
ejpam-6281	143	4	ku1β1]−	ku1β1]−	PROPN
ejpam-6281	143	5	(	(	PUNCT
ejpam-6281	143	6	u2β1	u2β1	NOUN
ejpam-6281	143	7	−	−	NOUN
ejpam-6281	143	8	u1q1	u1q1	NOUN
ejpam-6281	143	9	)	)	PUNCT
ejpam-6281	143	10	,	,	PUNCT
ejpam-6281	143	11	n4	n4	PROPN
ejpam-6281	143	12	=	=	PUNCT
ejpam-6281	144	1	−δ[ap1u2	−δ[ap1u2	PROPN
ejpam-6281	144	2	+	+	NUM
ejpam-6281	144	3	u1	u1	PROPN
ejpam-6281	144	4	−	−	PROPN
ejpam-6281	144	5	ku1β1]−	ku1β1]−	NOUN
ejpam-6281	144	6	(	(	PUNCT
ejpam-6281	144	7	u1p1	u1p1	ADJ
ejpam-6281	144	8	−	−	NOUN
ejpam-6281	144	9	u2α1	u2α1	NOUN
ejpam-6281	144	10	)	)	PUNCT
ejpam-6281	144	11	.	.	PUNCT
ejpam-6281	145	1	(	(	PUNCT
ejpam-6281	145	2	9	9	X
ejpam-6281	145	3	)	)	PUNCT
ejpam-6281	145	4	to	to	PART
ejpam-6281	145	5	better	well	ADV
ejpam-6281	145	6	understand	understand	VERB
ejpam-6281	145	7	the	the	DET
ejpam-6281	145	8	distribution	distribution	NOUN
ejpam-6281	145	9	of	of	ADP
ejpam-6281	145	10	frequencies	frequency	NOUN
ejpam-6281	145	11	ρs	ρs	ADP
ejpam-6281	145	12	;	;	PUNCT
ejpam-6281	145	13	(	(	PUNCT
ejpam-6281	145	14	s	s	NOUN
ejpam-6281	145	15	=	=	SYM
ejpam-6281	145	16	1	1	NUM
ejpam-6281	145	17	,	,	PUNCT
ejpam-6281	145	18	2),we	2),we	NUM
ejpam-6281	145	19	choose	choose	VERB
ejpam-6281	145	20	a	a	DET
ejpam-6281	145	21	suitable	suitable	ADJ
ejpam-6281	145	22	value	value	NOUN
ejpam-6281	145	23	for	for	ADP
ejpam-6281	145	24	r0	r0	NOUN
ejpam-6281	145	25	.	.	PUNCT
ejpam-6281	146	1	consequently	consequently	ADV
ejpam-6281	146	2	,	,	PUNCT
ejpam-6281	146	3	ρ1	ρ1	NOUN
ejpam-6281	146	4	/	/	SYM
ejpam-6281	146	5	ρ2	ρ2	NOUN
ejpam-6281	146	6	may	may	AUX
ejpam-6281	146	7	be	be	AUX
ejpam-6281	146	8	treated	treat	VERB
ejpam-6281	146	9	as	as	ADP
ejpam-6281	146	10	a	a	DET
ejpam-6281	146	11	rational	rational	ADJ
ejpam-6281	146	12	number	number	NOUN
ejpam-6281	146	13	,	,	PUNCT
ejpam-6281	146	14	leading	lead	VERB
ejpam-6281	146	15	to	to	ADP
ejpam-6281	146	16	a	a	DET
ejpam-6281	146	17	solution	solution	NOUN
ejpam-6281	146	18	of	of	ADP
ejpam-6281	146	19	system	system	NOUN
ejpam-6281	146	20	(	(	PUNCT
ejpam-6281	146	21	8)	8)	NUM
ejpam-6281	146	22	that	that	PRON
ejpam-6281	146	23	is	be	AUX
ejpam-6281	146	24	periodic	periodic	ADJ
ejpam-6281	146	25	with	with	ADP
ejpam-6281	146	26	a	a	DET
ejpam-6281	146	27	period	period	NOUN
ejpam-6281	146	28	(	(	PUNCT
ejpam-6281	146	29	t0	t0	X
ejpam-6281	146	30	=	=	PUNCT
ejpam-6281	146	31	2πns	2πns	NUM
ejpam-6281	146	32	/	/	SYM
ejpam-6281	146	33	ρs	ρs	NOUN
ejpam-6281	146	34	;	;	PUNCT
ejpam-6281	146	35	s	s	X
ejpam-6281	146	36	=	=	SYM
ejpam-6281	146	37	1	1	NUM
ejpam-6281	146	38	,	,	PUNCT
ejpam-6281	146	39	2	2	NUM
ejpam-6281	146	40	)	)	PUNCT
ejpam-6281	146	41	.	.	PUNCT
ejpam-6281	147	1	next	next	ADV
ejpam-6281	147	2	,	,	PUNCT
ejpam-6281	147	3	we	we	PRON
ejpam-6281	147	4	reformulate	reformulate	VERB
ejpam-6281	147	5	the	the	DET
ejpam-6281	147	6	problem	problem	NOUN
ejpam-6281	147	7	to	to	PART
ejpam-6281	147	8	identify	identify	VERB
ejpam-6281	147	9	the	the	DET
ejpam-6281	147	10	τ0(ε	τ0(ε	NOUN
ejpam-6281	147	11	)	)	PUNCT
ejpam-6281	147	12	solutions	solution	NOUN
ejpam-6281	147	13	of	of	ADP
ejpam-6281	147	14	system	system	NOUN
ejpam-6281	147	15	(	(	PUNCT
ejpam-6281	147	16	8)	8)	NUM
ejpam-6281	147	17	with	with	ADP
ejpam-6281	147	18	a	a	DET
ejpam-6281	147	19	significantly	significantly	ADV
ejpam-6281	147	20	large	large	ADJ
ejpam-6281	147	21	value	value	NOUN
ejpam-6281	147	22	of	of	ADP
ejpam-6281	147	23	ε	ε	PROPN
ejpam-6281	147	24	.	.	PUNCT
ejpam-6281	148	1	in	in	ADP
ejpam-6281	148	2	this	this	DET
ejpam-6281	148	3	context	context	NOUN
ejpam-6281	148	4	,	,	PUNCT
ejpam-6281	148	5	ε→	ε→	PUNCT
ejpam-6281	148	6	∞	∞	PROPN
ejpam-6281	148	7	should	should	AUX
ejpam-6281	148	8	approach	approach	VERB
ejpam-6281	148	9	a	a	DET
ejpam-6281	148	10	solution	solution	NOUN
ejpam-6281	148	11	of	of	ADP
ejpam-6281	148	12	period	period	NOUN
ejpam-6281	148	13	t0	t0	PROPN
ejpam-6281	148	14	of	of	ADP
ejpam-6281	148	15	the	the	DET
ejpam-6281	148	16	generating	generate	VERB
ejpam-6281	148	17	system	system	NOUN
ejpam-6281	148	18	(	(	PUNCT
ejpam-6281	148	19	8)	8)	NUM
ejpam-6281	148	20	.	.	PUNCT
ejpam-6281	149	1	therefore	therefore	ADV
ejpam-6281	149	2	,	,	PUNCT
ejpam-6281	149	3	we	we	PRON
ejpam-6281	149	4	introduce	introduce	VERB
ejpam-6281	149	5	the	the	DET
ejpam-6281	149	6	following	follow	VERB
ejpam-6281	149	7	substitution	substitution	NOUN
ejpam-6281	149	8	:	:	PUNCT
ejpam-6281	149	9	ετ	ετ	PROPN
ejpam-6281	149	10	=	=	PUNCT
ejpam-6281	149	11	(	(	PUNCT
ejpam-6281	149	12	ε+	ε+	X
ejpam-6281	149	13	µ)t	µ)t	NOUN
ejpam-6281	149	14	,	,	PUNCT
ejpam-6281	149	15	(	(	PUNCT
ejpam-6281	149	16	10	10	NUM
ejpam-6281	149	17	)	)	PUNCT
ejpam-6281	149	18	in	in	ADP
ejpam-6281	149	19	which	which	PRON
ejpam-6281	149	20	µ	µ	X
ejpam-6281	149	21	=	=	SYM
ejpam-6281	149	22	µ(ε	µ(ε	X
ejpam-6281	149	23	)	)	PUNCT
ejpam-6281	149	24	that	that	PRON
ejpam-6281	149	25	will	will	AUX
ejpam-6281	149	26	be	be	AUX
ejpam-6281	149	27	estimated	estimate	VERB
ejpam-6281	149	28	latter	latter	ADV
ejpam-6281	149	29	.	.	PUNCT
ejpam-6281	150	1	consequently	consequently	ADV
ejpam-6281	150	2	,	,	PUNCT
ejpam-6281	150	3	the	the	DET
ejpam-6281	150	4	problem	problem	NOUN
ejpam-6281	150	5	under	under	ADP
ejpam-6281	150	6	investigation	investigation	NOUN
ejpam-6281	150	7	is	be	AUX
ejpam-6281	150	8	simplified	simplify	VERB
ejpam-6281	150	9	to	to	ADP
ejpam-6281	150	10	finding	find	VERB
ejpam-6281	150	11	the	the	DET
ejpam-6281	150	12	solutions	solution	NOUN
ejpam-6281	150	13	for	for	ADP
ejpam-6281	150	14	the	the	DET
ejpam-6281	150	15	period	period	NOUN
ejpam-6281	150	16	t0	t0	PROPN
ejpam-6281	150	17	of	of	ADP
ejpam-6281	150	18	the	the	DET
ejpam-6281	150	19	following	follow	VERB
ejpam-6281	150	20	system	system	NOUN
ejpam-6281	150	21	εdp2dt	εdp2dt	PROPN
ejpam-6281	150	22	=	=	SYM
ejpam-6281	150	23	ε(1	ε(1	PROPN
ejpam-6281	150	24	+	+	NUM
ejpam-6281	150	25	χδ)λ́2r10	χδ)λ́2r10	PROPN
ejpam-6281	150	26	+	+	CCONJ
ejpam-6281	151	1	ερ1q2	ερ1q2	PROPN
ejpam-6281	151	2	+	+	NUM
ejpam-6281	151	3	v1	v1	NOUN
ejpam-6281	151	4	,	,	PUNCT
ejpam-6281	151	5	εdq2dt	εdq2dt	PROPN
ejpam-6281	151	6	=	=	SYM
ejpam-6281	151	7	−ερ1p2	−ερ1p2	PROPN
ejpam-6281	152	1	+	+	CCONJ
ejpam-6281	152	2	v2	v2	PROPN
ejpam-6281	152	3	,	,	PUNCT
ejpam-6281	152	4	εdα2	εdα2	NOUN
ejpam-6281	152	5	dt	dt	NOUN
ejpam-6281	152	6	=	=	PUNCT
ejpam-6281	152	7	εδλ́2r10	εδλ́2r10	PROPN
ejpam-6281	153	1	+	+	CCONJ
ejpam-6281	153	2	ερ2β2	ερ2β2	PROPN
ejpam-6281	153	3	+	+	ADJ
ejpam-6281	153	4	v3	v3	PROPN
ejpam-6281	153	5	,	,	PUNCT
ejpam-6281	153	6	εdβ2	εdβ2	PROPN
ejpam-6281	153	7	dτ	dτ	NOUN
ejpam-6281	153	8	=	=	PROPN
ejpam-6281	153	9	−ερ2α2	−ερ2α2	PROPN
ejpam-6281	153	10	+	+	CCONJ
ejpam-6281	153	11	v4	v4	PROPN
ejpam-6281	153	12	,	,	PUNCT
ejpam-6281	153	13	(	(	PUNCT
ejpam-6281	153	14	11	11	NUM
ejpam-6281	153	15	)	)	PUNCT
ejpam-6281	153	16	t.	t.	PROPN
ejpam-6281	153	17	s.	s.	PROPN
ejpam-6281	153	18	amer	amer	PROPN
ejpam-6281	153	19	et	et	PROPN
ejpam-6281	153	20	al	al	PROPN
ejpam-6281	153	21	.	.	PUNCT
ejpam-6281	153	22	/	/	SYM
ejpam-6281	153	23	eur	eur	PROPN
ejpam-6281	153	24	.	.	PUNCT
ejpam-6281	154	1	j.	j.	PROPN
ejpam-6281	154	2	pure	pure	PROPN
ejpam-6281	154	3	appl	appl	PROPN
ejpam-6281	154	4	.	.	PROPN
ejpam-6281	154	5	math	math	PROPN
ejpam-6281	154	6	,	,	PUNCT
ejpam-6281	154	7	18	18	NUM
ejpam-6281	154	8	(	(	PUNCT
ejpam-6281	154	9	3	3	NUM
ejpam-6281	154	10	)	)	PUNCT
ejpam-6281	154	11	(	(	PUNCT
ejpam-6281	154	12	2025	2025	NUM
ejpam-6281	154	13	)	)	PUNCT
ejpam-6281	154	14	,	,	PUNCT
ejpam-6281	154	15	6281	6281	NUM
ejpam-6281	154	16	8	8	NUM
ejpam-6281	154	17	of	of	ADP
ejpam-6281	154	18	35	35	NUM
ejpam-6281	154	19	where	where	SCONJ
ejpam-6281	154	20	εv1	εv1	NOUN
ejpam-6281	154	21	=	=	PUNCT
ejpam-6281	155	1	ε[(1	ε[(1	PROPN
ejpam-6281	155	2	+	+	PROPN
ejpam-6281	155	3	χδ)λ́2r10	χδ)λ́2r10	PROPN
ejpam-6281	155	4	+	+	NUM
ejpam-6281	155	5	ρ1q2]µ+	ρ1q2]µ+	PROPN
ejpam-6281	155	6	(	(	PUNCT
ejpam-6281	155	7	ε+	ε+	X
ejpam-6281	155	8	µ)n1	µ)n1	PROPN
ejpam-6281	155	9	,	,	PUNCT
ejpam-6281	155	10	εv2	εv2	X
ejpam-6281	155	11	=	=	SYM
ejpam-6281	155	12	−ερ1µp2	−ερ1µp2	PROPN
ejpam-6281	155	13	+	+	CCONJ
ejpam-6281	155	14	(	(	PUNCT
ejpam-6281	155	15	ε+	ε+	NOUN
ejpam-6281	155	16	µ)n2	µ)n2	ADJ
ejpam-6281	155	17	,	,	PUNCT
ejpam-6281	155	18	εv3	εv3	NOUN
ejpam-6281	155	19	=	=	SYM
ejpam-6281	155	20	ε(δλ́2r10	ε(δλ́2r10	X
ejpam-6281	155	21	+	+	NUM
ejpam-6281	155	22	ρ2β2)µ+	ρ2β2)µ+	PROPN
ejpam-6281	155	23	(	(	PUNCT
ejpam-6281	155	24	ε+	ε+	X
ejpam-6281	155	25	µ)n3	µ)n3	NOUN
ejpam-6281	155	26	,	,	PUNCT
ejpam-6281	155	27	εv4	εv4	NOUN
ejpam-6281	155	28	=	=	SYM
ejpam-6281	155	29	−ερ2α2µ+	−ερ2α2µ+	NUM
ejpam-6281	155	30	(	(	PUNCT
ejpam-6281	155	31	ε+	ε+	X
ejpam-6281	155	32	µ)n4	µ)n4	PROPN
ejpam-6281	155	33	,	,	PUNCT
ejpam-6281	155	34	vi	vi	NOUN
ejpam-6281	155	35	=	=	SYM
ejpam-6281	155	36	v	v	NOUN
ejpam-6281	155	37	(	(	PUNCT
ejpam-6281	155	38	1	1	NUM
ejpam-6281	155	39	)	)	PUNCT
ejpam-6281	155	40	i	i	PRON
ejpam-6281	155	41	+	+	CCONJ
ejpam-6281	155	42	ε(−1)v	ε(−1)v	PROPN
ejpam-6281	155	43	(	(	PUNCT
ejpam-6281	155	44	2	2	X
ejpam-6281	155	45	)	)	PUNCT
ejpam-6281	155	46	i	i	PRON
ejpam-6281	155	47	+	+	CCONJ
ejpam-6281	155	48	ε−2v	ε−2v	PROPN
ejpam-6281	156	1	3	3	NUM
ejpam-6281	156	2	i	i	NOUN
ejpam-6281	156	3	+	+	CCONJ
ejpam-6281	156	4	....	....	PUNCT
ejpam-6281	157	1	(	(	PUNCT
ejpam-6281	157	2	12	12	NUM
ejpam-6281	157	3	)	)	PUNCT
ejpam-6281	157	4	we	we	PRON
ejpam-6281	157	5	will	will	AUX
ejpam-6281	157	6	now	now	ADV
ejpam-6281	157	7	proceed	proceed	VERB
ejpam-6281	157	8	to	to	PART
ejpam-6281	157	9	derive	derive	VERB
ejpam-6281	157	10	the	the	DET
ejpam-6281	157	11	solutions	solution	NOUN
ejpam-6281	157	12	for	for	ADP
ejpam-6281	157	13	system	system	NOUN
ejpam-6281	157	14	(	(	PUNCT
ejpam-6281	157	15	11	11	NUM
ejpam-6281	157	16	)	)	PUNCT
ejpam-6281	157	17	.	.	PUNCT
ejpam-6281	158	1	upon	upon	SCONJ
ejpam-6281	158	2	closer	close	ADJ
ejpam-6281	158	3	examination	examination	NOUN
ejpam-6281	158	4	,	,	PUNCT
ejpam-6281	158	5	we	we	PRON
ejpam-6281	158	6	observe	observe	VERB
ejpam-6281	158	7	that	that	SCONJ
ejpam-6281	158	8	this	this	DET
ejpam-6281	158	9	system	system	NOUN
ejpam-6281	158	10	constitutes	constitute	VERB
ejpam-6281	158	11	a	a	DET
ejpam-6281	158	12	dynamical	dynamical	ADJ
ejpam-6281	158	13	system	system	NOUN
ejpam-6281	158	14	comprised	comprise	VERB
ejpam-6281	158	15	of	of	ADP
ejpam-6281	158	16	first	first	ADJ
ejpam-6281	158	17	-	-	PUNCT
ejpam-6281	158	18	order	order	NOUN
ejpam-6281	158	19	nonlinear	nonlinear	PROPN
ejpam-6281	158	20	des	des	PROPN
ejpam-6281	158	21	involving	involve	VERB
ejpam-6281	158	22	the	the	DET
ejpam-6281	158	23	variables	variable	NOUN
ejpam-6281	158	24	p2	p2	NOUN
ejpam-6281	158	25	,	,	PUNCT
ejpam-6281	158	26	q2	q2	NOUN
ejpam-6281	158	27	,	,	PUNCT
ejpam-6281	158	28	γ2	γ2	NOUN
ejpam-6281	158	29	and	and	CCONJ
ejpam-6281	158	30	β2	β2	PROPN
ejpam-6281	158	31	.	.	PUNCT
ejpam-6281	159	1	by	by	ADP
ejpam-6281	159	2	differentiating	differentiate	VERB
ejpam-6281	159	3	these	these	DET
ejpam-6281	159	4	equations	equation	NOUN
ejpam-6281	159	5	once	once	ADV
ejpam-6281	159	6	more	more	ADV
ejpam-6281	159	7	,	,	PUNCT
ejpam-6281	159	8	we	we	PRON
ejpam-6281	159	9	can	can	AUX
ejpam-6281	159	10	generate	generate	VERB
ejpam-6281	159	11	a	a	DET
ejpam-6281	159	12	new	new	ADJ
ejpam-6281	159	13	system	system	NOUN
ejpam-6281	159	14	of	of	ADP
ejpam-6281	159	15	second	second	ADJ
ejpam-6281	159	16	-	-	PUNCT
ejpam-6281	159	17	order	order	NOUN
ejpam-6281	159	18	des	de	NOUN
ejpam-6281	159	19	,	,	PUNCT
ejpam-6281	159	20	which	which	PRON
ejpam-6281	159	21	can	can	AUX
ejpam-6281	159	22	be	be	AUX
ejpam-6281	159	23	expressed	express	VERB
ejpam-6281	159	24	as	as	SCONJ
ejpam-6281	159	25	follows	follow	VERB
ejpam-6281	159	26	ε(d	ε(d	PROPN
ejpam-6281	159	27	2p2	2p2	NUM
ejpam-6281	159	28	dt	dt	NOUN
ejpam-6281	159	29	2	2	NUM
ejpam-6281	159	30	+	+	CCONJ
ejpam-6281	159	31	ρ21p2	ρ21p2	ADV
ejpam-6281	159	32	)	)	PUNCT
ejpam-6281	159	33	=	=	PUNCT
ejpam-6281	160	1	ρ1v2	ρ1v2	X
ejpam-6281	160	2	+	+	CCONJ
ejpam-6281	160	3	v̇1	v̇1	PROPN
ejpam-6281	160	4	,	,	PUNCT
ejpam-6281	160	5	ε(d	ε(d	NOUN
ejpam-6281	160	6	2q2	2q2	NUM
ejpam-6281	160	7	dt	dt	X
ejpam-6281	160	8	2	2	NUM
ejpam-6281	160	9	+	+	CCONJ
ejpam-6281	160	10	ρ21q2	ρ21q2	NOUN
ejpam-6281	160	11	)	)	PUNCT
ejpam-6281	160	12	=	=	NOUN
ejpam-6281	160	13	(	(	PUNCT
ejpam-6281	161	1	−ρ1v1	−ρ1v1	X
ejpam-6281	161	2	+	+	NUM
ejpam-6281	161	3	v̇2)−	v̇2)−	ADJ
ejpam-6281	161	4	ε(1	ε(1	ADV
ejpam-6281	161	5	+	+	CCONJ
ejpam-6281	161	6	χδ)ρ1λ́2r10	χδ)ρ1λ́2r10	NUM
ejpam-6281	161	7	,	,	PUNCT
ejpam-6281	161	8	ε(d	ε(d	PROPN
ejpam-6281	161	9	2α2	2α2	NUM
ejpam-6281	161	10	dt	dt	NOUN
ejpam-6281	161	11	2	2	NUM
ejpam-6281	161	12	+	+	CCONJ
ejpam-6281	161	13	ρ22α2	ρ22α2	NOUN
ejpam-6281	161	14	)	)	PUNCT
ejpam-6281	161	15	=	=	PRON
ejpam-6281	162	1	(	(	PUNCT
ejpam-6281	162	2	ρ2v4	ρ2v4	PUNCT
ejpam-6281	162	3	+	+	CCONJ
ejpam-6281	162	4	v̇3	v̇3	NOUN
ejpam-6281	162	5	)	)	PUNCT
ejpam-6281	162	6	,	,	PUNCT
ejpam-6281	162	7	ε(d	ε(d	NOUN
ejpam-6281	162	8	2β2	2β2	NUM
ejpam-6281	162	9	dt	dt	NOUN
ejpam-6281	162	10	2	2	NUM
ejpam-6281	162	11	+	+	CCONJ
ejpam-6281	162	12	ρ22β2	ρ22β2	NOUN
ejpam-6281	162	13	)	)	PUNCT
ejpam-6281	162	14	=	=	NOUN
ejpam-6281	163	1	(	(	PUNCT
ejpam-6281	163	2	−ρ2v3	−ρ2v3	NOUN
ejpam-6281	163	3	+	+	CCONJ
ejpam-6281	163	4	v̇4)−	v̇4)−	PROPN
ejpam-6281	163	5	ερ2δλ́2r10	ερ2δλ́2r10	NUM
ejpam-6281	163	6	.	.	PUNCT
ejpam-6281	164	1	(	(	PUNCT
ejpam-6281	164	2	13	13	NUM
ejpam-6281	164	3	)	)	PUNCT
ejpam-6281	164	4	the	the	DET
ejpam-6281	164	5	aforementioned	aforementioned	ADJ
ejpam-6281	164	6	system	system	NOUN
ejpam-6281	164	7	comprises	comprise	VERB
ejpam-6281	164	8	four	four	NUM
ejpam-6281	164	9	distinct	distinct	ADJ
ejpam-6281	164	10	nonlinear	nonlinear	ADJ
ejpam-6281	164	11	des	des	PROPN
ejpam-6281	164	12	,	,	PUNCT
ejpam-6281	164	13	each	each	PRON
ejpam-6281	164	14	containing	contain	VERB
ejpam-6281	164	15	a	a	DET
ejpam-6281	164	16	single	single	ADJ
ejpam-6281	164	17	variable	variable	NOUN
ejpam-6281	164	18	.	.	PUNCT
ejpam-6281	165	1	with	with	ADP
ejpam-6281	165	2	this	this	DET
ejpam-6281	165	3	analysis	analysis	NOUN
ejpam-6281	165	4	in	in	ADP
ejpam-6281	165	5	mind	mind	NOUN
ejpam-6281	165	6	,	,	PUNCT
ejpam-6281	165	7	we	we	PRON
ejpam-6281	165	8	can	can	AUX
ejpam-6281	165	9	pursue	pursue	VERB
ejpam-6281	165	10	the	the	DET
ejpam-6281	165	11	solutions	solution	NOUN
ejpam-6281	165	12	of	of	ADP
ejpam-6281	165	13	this	this	DET
ejpam-6281	165	14	system	system	NOUN
ejpam-6281	165	15	as	as	SCONJ
ejpam-6281	165	16	follows	follow	VERB
ejpam-6281	165	17	p2(t	p2(t	PROPN
ejpam-6281	165	18	,	,	PUNCT
ejpam-6281	165	19	ε	ε	PROPN
ejpam-6281	165	20	)	)	PUNCT
ejpam-6281	165	21	=	=	NOUN
ejpam-6281	165	22	a1	a1	PROPN
ejpam-6281	165	23	cos	cos	PROPN
ejpam-6281	165	24	ρ1	ρ1	PROPN
ejpam-6281	165	25	t	t	PROPN
ejpam-6281	165	26	+	+	PROPN
ejpam-6281	165	27	a2	a2	PROPN
ejpam-6281	165	28	sin	sin	NOUN
ejpam-6281	165	29	ρ1	ρ1	PROPN
ejpam-6281	165	30	t	t	PROPN
ejpam-6281	165	31	+	+	CCONJ
ejpam-6281	165	32	∑	∑	PROPN
ejpam-6281	165	33	1	1	NUM
ejpam-6281	165	34	,	,	PUNCT
ejpam-6281	165	35	q2(t	q2(t	PROPN
ejpam-6281	165	36	,	,	PUNCT
ejpam-6281	165	37	ε	ε	PROPN
ejpam-6281	165	38	)	)	PUNCT
ejpam-6281	165	39	=	=	PUNCT
ejpam-6281	165	40	−a1	−a1	VERB
ejpam-6281	165	41	sin	sin	NOUN
ejpam-6281	165	42	ρ1	ρ1	PROPN
ejpam-6281	165	43	t	t	PROPN
ejpam-6281	165	44	+	+	PROPN
ejpam-6281	165	45	a2	a2	PROPN
ejpam-6281	165	46	cos	cos	PROPN
ejpam-6281	165	47	ρ1	ρ1	PROPN
ejpam-6281	165	48	t	t	PROPN
ejpam-6281	165	49	−	−	PROPN
ejpam-6281	166	1	[	[	X
ejpam-6281	166	2	(	(	PUNCT
ejpam-6281	166	3	1	1	NUM
ejpam-6281	166	4	+	+	NUM
ejpam-6281	166	5	χδ)λ́2r10]/ρ1	χδ)λ́2r10]/ρ1	NOUN
ejpam-6281	166	6	+	+	CCONJ
ejpam-6281	166	7	∑	∑	PROPN
ejpam-6281	166	8	2	2	NUM
ejpam-6281	166	9	,	,	PUNCT
ejpam-6281	166	10	α2(t	α2(t	NUM
ejpam-6281	166	11	,	,	PUNCT
ejpam-6281	166	12	ε	ε	PROPN
ejpam-6281	166	13	)	)	PUNCT
ejpam-6281	166	14	=	=	NOUN
ejpam-6281	166	15	a3	a3	NOUN
ejpam-6281	166	16	cos	cos	PROPN
ejpam-6281	166	17	ρ2	ρ2	PROPN
ejpam-6281	166	18	t	t	NOUN
ejpam-6281	166	19	+	+	CCONJ
ejpam-6281	166	20	∑	∑	PROPN
ejpam-6281	166	21	3	3	NUM
ejpam-6281	166	22	,	,	PUNCT
ejpam-6281	166	23	β2(t	β2(t	NUM
ejpam-6281	166	24	,	,	PUNCT
ejpam-6281	166	25	ε	ε	PROPN
ejpam-6281	166	26	)	)	PUNCT
ejpam-6281	166	27	=	=	PUNCT
ejpam-6281	166	28	−a3	−a3	NOUN
ejpam-6281	166	29	sin	sin	NOUN
ejpam-6281	166	30	ρ2	ρ2	PROPN
ejpam-6281	166	31	t	t	PROPN
ejpam-6281	166	32	−	−	PROPN
ejpam-6281	166	33	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	166	34	/	/	SYM
ejpam-6281	166	35	ρ2	ρ2	NOUN
ejpam-6281	166	36	+	+	CCONJ
ejpam-6281	166	37	∑	∑	PROPN
ejpam-6281	166	38	4	4	NUM
ejpam-6281	166	39	,	,	PUNCT
ejpam-6281	166	40	(	(	PUNCT
ejpam-6281	166	41	∑	∑	PUNCT
ejpam-6281	166	42	d	d	PROPN
ejpam-6281	166	43	=	=	SYM
ejpam-6281	166	44	∑∞	∑∞	NOUN
ejpam-6281	166	45	n=1	n=1	PROPN
ejpam-6281	166	46	ε	ε	PROPN
ejpam-6281	166	47	−nd	−nd	PROPN
ejpam-6281	166	48	(	(	PUNCT
ejpam-6281	166	49	n	n	CCONJ
ejpam-6281	166	50	)	)	PUNCT
ejpam-6281	166	51	d	d	NOUN
ejpam-6281	166	52	(	(	PUNCT
ejpam-6281	166	53	t	t	PROPN
ejpam-6281	166	54	)	)	PUNCT
ejpam-6281	166	55	;	;	PUNCT
ejpam-6281	167	1	d	d	X
ejpam-6281	167	2	=	=	SYM
ejpam-6281	167	3	1	1	NUM
ejpam-6281	167	4	,	,	PUNCT
ejpam-6281	167	5	2	2	NUM
ejpam-6281	167	6	,	,	PUNCT
ejpam-6281	167	7	3	3	NUM
ejpam-6281	167	8	,	,	PUNCT
ejpam-6281	167	9	4	4	NUM
ejpam-6281	167	10	)	)	PUNCT
ejpam-6281	167	11	,	,	PUNCT
ejpam-6281	167	12	(	(	PUNCT
ejpam-6281	167	13	14	14	NUM
ejpam-6281	167	14	)	)	PUNCT
ejpam-6281	167	15	with	with	ADP
ejpam-6281	167	16	the	the	DET
ejpam-6281	167	17	following	follow	VERB
ejpam-6281	167	18	initial	initial	ADJ
ejpam-6281	167	19	conditions	condition	NOUN
ejpam-6281	167	20	p2(0	p2(0	NOUN
ejpam-6281	167	21	,	,	PUNCT
ejpam-6281	167	22	ε	ε	PROPN
ejpam-6281	167	23	)	)	PUNCT
ejpam-6281	167	24	=	=	SYM
ejpam-6281	167	25	a1	a1	NOUN
ejpam-6281	167	26	=	=	PUNCT
ejpam-6281	167	27	a	a	X
ejpam-6281	167	28	(	(	PUNCT
ejpam-6281	167	29	0	0	NUM
ejpam-6281	167	30	)	)	SYM
ejpam-6281	167	31	1	1	NUM
ejpam-6281	167	32	+	+	CCONJ
ejpam-6281	167	33	a1	a1	NOUN
ejpam-6281	167	34	,	,	PUNCT
ejpam-6281	167	35	q2(0	q2(0	PROPN
ejpam-6281	167	36	,	,	PUNCT
ejpam-6281	167	37	ε	ε	PROPN
ejpam-6281	167	38	)	)	PUNCT
ejpam-6281	167	39	=	=	SYM
ejpam-6281	167	40	a2	a2	PROPN
ejpam-6281	167	41	−	−	PROPN
ejpam-6281	168	1	[	[	X
ejpam-6281	168	2	(	(	PUNCT
ejpam-6281	168	3	1	1	NUM
ejpam-6281	168	4	+	+	NUM
ejpam-6281	168	5	χδ)λ́2r10]/ρ1	χδ)λ́2r10]/ρ1	NOUN
ejpam-6281	168	6	=	=	SYM
ejpam-6281	168	7	a	a	PRON
ejpam-6281	168	8	(	(	PUNCT
ejpam-6281	168	9	0	0	NUM
ejpam-6281	168	10	)	)	SYM
ejpam-6281	168	11	2	2	NUM
ejpam-6281	168	12	+	+	NUM
ejpam-6281	168	13	a2	a2	NOUN
ejpam-6281	168	14	−	−	PROPN
ejpam-6281	169	1	[	[	X
ejpam-6281	169	2	(	(	PUNCT
ejpam-6281	169	3	1	1	NUM
ejpam-6281	169	4	+	+	NUM
ejpam-6281	169	5	χδ)λ́2r10]/ρ1	χδ)λ́2r10]/ρ1	NOUN
ejpam-6281	169	6	,	,	PUNCT
ejpam-6281	169	7	α2(0	α2(0	PROPN
ejpam-6281	169	8	,	,	PUNCT
ejpam-6281	169	9	ε	ε	PROPN
ejpam-6281	169	10	)	)	PUNCT
ejpam-6281	169	11	=	=	NOUN
ejpam-6281	169	12	a3	a3	NOUN
ejpam-6281	169	13	=	=	PUNCT
ejpam-6281	169	14	a	a	X
ejpam-6281	169	15	(	(	PUNCT
ejpam-6281	169	16	0	0	NUM
ejpam-6281	169	17	)	)	PUNCT
ejpam-6281	169	18	3	3	NUM
ejpam-6281	169	19	+	+	NUM
ejpam-6281	169	20	a3	a3	NOUN
ejpam-6281	169	21	,	,	PUNCT
ejpam-6281	169	22	β2(0	β2(0	PROPN
ejpam-6281	169	23	,	,	PUNCT
ejpam-6281	169	24	ε	ε	PROPN
ejpam-6281	169	25	)	)	PUNCT
ejpam-6281	169	26	=	=	SYM
ejpam-6281	169	27	−δλ́2r10	−δλ́2r10	PROPN
ejpam-6281	169	28	/	/	SYM
ejpam-6281	169	29	ρ2	ρ2	NOUN
ejpam-6281	169	30	.	.	PUNCT
ejpam-6281	170	1	(	(	PUNCT
ejpam-6281	170	2	15	15	NUM
ejpam-6281	170	3	)	)	PUNCT
ejpam-6281	170	4	in	in	ADP
ejpam-6281	170	5	this	this	DET
ejpam-6281	170	6	context	context	NOUN
ejpam-6281	170	7	,	,	PUNCT
ejpam-6281	170	8	a	a	DET
ejpam-6281	170	9	(	(	PUNCT
ejpam-6281	170	10	0	0	NUM
ejpam-6281	170	11	)	)	PUNCT
ejpam-6281	170	12	j	j	PROPN
ejpam-6281	170	13	and	and	CCONJ
ejpam-6281	170	14	aj	aj	PROPN
ejpam-6281	170	15	;	;	PUNCT
ejpam-6281	170	16	(	(	PUNCT
ejpam-6281	170	17	j	j	PROPN
ejpam-6281	170	18	=	=	SYM
ejpam-6281	170	19	1	1	NUM
ejpam-6281	170	20	,	,	PUNCT
ejpam-6281	170	21	2.3	2.3	NUM
ejpam-6281	170	22	)	)	PUNCT
ejpam-6281	170	23	represent	represent	VERB
ejpam-6281	170	24	the	the	DET
ejpam-6281	170	25	unperturbed	unperturbed	ADJ
ejpam-6281	170	26	and	and	CCONJ
ejpam-6281	170	27	perturbed	perturb	VERB
ejpam-6281	170	28	components	component	NOUN
ejpam-6281	170	29	aj	aj	PROPN
ejpam-6281	170	30	,	,	PUNCT
ejpam-6281	170	31	respectively	respectively	ADV
ejpam-6281	170	32	.	.	PUNCT
ejpam-6281	171	1	it	it	PRON
ejpam-6281	171	2	is	be	AUX
ejpam-6281	171	3	notably	notably	ADV
ejpam-6281	171	4	that	that	SCONJ
ejpam-6281	171	5	the	the	DET
ejpam-6281	171	6	solutions	solution	NOUN
ejpam-6281	171	7	of	of	ADP
ejpam-6281	171	8	system	system	NOUN
ejpam-6281	171	9	(	(	PUNCT
ejpam-6281	171	10	8)	8)	NUM
ejpam-6281	171	11	,	,	PUNCT
ejpam-6281	171	12	which	which	PRON
ejpam-6281	171	13	have	have	VERB
ejpam-6281	171	14	t0	t0	NOUN
ejpam-6281	171	15	-	-	PUNCT
ejpam-6281	171	16	periodic	periodic	ADJ
ejpam-6281	171	17	solutions	solution	NOUN
ejpam-6281	171	18	in	in	ADP
ejpam-6281	171	19	system	system	NOUN
ejpam-6281	171	20	(	(	PUNCT
ejpam-6281	171	21	13	13	NUM
ejpam-6281	171	22	)	)	PUNCT
ejpam-6281	171	23	,	,	PUNCT
ejpam-6281	171	24	exhibit	exhibit	VERB
ejpam-6281	171	25	a	a	DET
ejpam-6281	171	26	period	period	NOUN
ejpam-6281	171	27	of	of	ADP
ejpam-6281	171	28	εt1	εt1	NOUN
ejpam-6281	171	29	=	=	SYM
ejpam-6281	171	30	(	(	PUNCT
ejpam-6281	171	31	ε	ε	PROPN
ejpam-6281	171	32	+	+	CCONJ
ejpam-6281	171	33	µ)t0	µ)t0	PROPN
ejpam-6281	171	34	.	.	PUNCT
ejpam-6281	172	1	we	we	PRON
ejpam-6281	172	2	will	will	AUX
ejpam-6281	172	3	assume	assume	VERB
ejpam-6281	172	4	that	that	SCONJ
ejpam-6281	172	5	µ	µ	NOUN
ejpam-6281	172	6	=	=	SYM
ejpam-6281	172	7	µ0	µ0	NOUN
ejpam-6281	172	8	+	+	NOUN
ejpam-6281	172	9	a4	a4	NOUN
ejpam-6281	172	10	has	have	VERB
ejpam-6281	172	11	solutions	solution	NOUN
ejpam-6281	172	12	of	of	ADP
ejpam-6281	172	13	the	the	DET
ejpam-6281	172	14	form	form	NOUN
ejpam-6281	172	15	(	(	PUNCT
ejpam-6281	172	16	14	14	NUM
ejpam-6281	172	17	)	)	PUNCT
ejpam-6281	172	18	that	that	PRON
ejpam-6281	172	19	are	be	AUX
ejpam-6281	172	20	periodic	periodic	ADJ
ejpam-6281	172	21	,	,	PUNCT
ejpam-6281	172	22	seeking	seek	VERB
ejpam-6281	172	23	ad	ad	NOUN
ejpam-6281	172	24	=	=	SYM
ejpam-6281	172	25	ad(ε	ad(ε	PROPN
ejpam-6281	172	26	)	)	PUNCT
ejpam-6281	172	27	;	;	PUNCT
ejpam-6281	173	1	d	d	X
ejpam-6281	173	2	=	=	SYM
ejpam-6281	173	3	1	1	NUM
ejpam-6281	173	4	,	,	PUNCT
ejpam-6281	173	5	2	2	NUM
ejpam-6281	173	6	,	,	PUNCT
ejpam-6281	173	7	3	3	NUM
ejpam-6281	173	8	,	,	PUNCT
ejpam-6281	173	9	4	4	NUM
ejpam-6281	173	10	as	as	ADP
ejpam-6281	173	11	a	a	DET
ejpam-6281	173	12	function	function	NOUN
ejpam-6281	173	13	of	of	ADP
ejpam-6281	173	14	the	the	DET
ejpam-6281	173	15	large	large	ADJ
ejpam-6281	173	16	parameter	parameter	NOUN
ejpam-6281	173	17	ε	ε	PROPN
ejpam-6281	173	18	that	that	PRON
ejpam-6281	173	19	approaches	approach	VERB
ejpam-6281	173	20	zero	zero	NUM
ejpam-6281	173	21	as	as	ADP
ejpam-6281	173	22	ε	ε	PROPN
ejpam-6281	173	23	→	→	SYM
ejpam-6281	173	24	∞.	∞.	PROPN
ejpam-6281	173	25	in	in	ADP
ejpam-6281	173	26	accordance	accordance	NOUN
ejpam-6281	173	27	with	with	ADP
ejpam-6281	173	28	the	the	DET
ejpam-6281	173	29	lpa	lpa	PROPN
ejpam-6281	173	30	procedure	procedure	NOUN
ejpam-6281	173	31	,	,	PUNCT
ejpam-6281	173	32	we	we	PRON
ejpam-6281	173	33	modify	modify	VERB
ejpam-6281	173	34	the	the	DET
ejpam-6281	173	35	initial	initial	ADJ
ejpam-6281	173	36	conditions	condition	NOUN
ejpam-6281	173	37	to	to	PART
ejpam-6281	173	38	correspond	correspond	VERB
ejpam-6281	173	39	with	with	ADP
ejpam-6281	173	40	the	the	DET
ejpam-6281	173	41	arbitrary	arbitrary	ADJ
ejpam-6281	173	42	constants	constant	NOUN
ejpam-6281	173	43	in	in	ADP
ejpam-6281	173	44	the	the	DET
ejpam-6281	173	45	generating	generate	VERB
ejpam-6281	173	46	system	system	NOUN
ejpam-6281	173	47	’s	’s	PART
ejpam-6281	173	48	solutions	solution	NOUN
ejpam-6281	173	49	.	.	PUNCT
ejpam-6281	174	1	utilizing	utilize	VERB
ejpam-6281	174	2	equations	equation	NOUN
ejpam-6281	174	3	(	(	PUNCT
ejpam-6281	174	4	9	9	NUM
ejpam-6281	174	5	)	)	PUNCT
ejpam-6281	174	6	and	and	CCONJ
ejpam-6281	174	7	(	(	PUNCT
ejpam-6281	174	8	7	7	NUM
ejpam-6281	174	9	)	)	PUNCT
ejpam-6281	174	10	,	,	PUNCT
ejpam-6281	174	11	we	we	PRON
ejpam-6281	174	12	obtain	obtain	VERB
ejpam-6281	174	13	the	the	DET
ejpam-6281	174	14	following	follow	VERB
ejpam-6281	174	15	t.	t.	PROPN
ejpam-6281	174	16	s.	s.	PROPN
ejpam-6281	174	17	amer	amer	PROPN
ejpam-6281	174	18	et	et	PROPN
ejpam-6281	174	19	al	al	PROPN
ejpam-6281	174	20	.	.	PUNCT
ejpam-6281	174	21	/	/	SYM
ejpam-6281	174	22	eur	eur	PROPN
ejpam-6281	174	23	.	.	PUNCT
ejpam-6281	175	1	j.	j.	PROPN
ejpam-6281	175	2	pure	pure	PROPN
ejpam-6281	175	3	appl	appl	PROPN
ejpam-6281	175	4	.	.	PROPN
ejpam-6281	175	5	math	math	PROPN
ejpam-6281	175	6	,	,	PUNCT
ejpam-6281	175	7	18	18	NUM
ejpam-6281	175	8	(	(	PUNCT
ejpam-6281	175	9	3	3	NUM
ejpam-6281	175	10	)	)	PUNCT
ejpam-6281	175	11	(	(	PUNCT
ejpam-6281	175	12	2025	2025	NUM
ejpam-6281	175	13	)	)	PUNCT
ejpam-6281	175	14	,	,	PUNCT
ejpam-6281	175	15	6281	6281	NUM
ejpam-6281	175	16	9	9	NUM
ejpam-6281	175	17	of	of	ADP
ejpam-6281	175	18	35	35	NUM
ejpam-6281	175	19	results	result	NOUN
ejpam-6281	175	20	u	u	NOUN
ejpam-6281	175	21	(	(	PUNCT
ejpam-6281	175	22	0	0	NUM
ejpam-6281	175	23	)	)	SYM
ejpam-6281	175	24	1	1	NUM
ejpam-6281	175	25	=	=	SYM
ejpam-6281	175	26	d22	d22	NOUN
ejpam-6281	175	27	+	+	CCONJ
ejpam-6281	175	28	δ2(a2	δ2(a2	NOUN
ejpam-6281	175	29	1	1	NUM
ejpam-6281	175	30	+	+	SYM
ejpam-6281	175	31	a2	a2	PROPN
ejpam-6281	175	32	2	2	NUM
ejpam-6281	175	33	)	)	PUNCT
ejpam-6281	175	34	+	+	CCONJ
ejpam-6281	175	35	(	(	PUNCT
ejpam-6281	175	36	1	1	NUM
ejpam-6281	175	37	+	+	NUM
ejpam-6281	175	38	χδ)2a2	χδ)2a2	PROPN
ejpam-6281	175	39	3	3	NUM
ejpam-6281	175	40	+	+	NUM
ejpam-6281	175	41	2δd2(a1	2δd2(a1	NUM
ejpam-6281	175	42	cos	cos	PROPN
ejpam-6281	175	43	ρ1	ρ1	PROPN
ejpam-6281	175	44	t	t	PROPN
ejpam-6281	175	45	+	+	PROPN
ejpam-6281	175	46	a2	a2	PROPN
ejpam-6281	175	47	sin	sin	NOUN
ejpam-6281	175	48	ρ1	ρ1	PROPN
ejpam-6281	175	49	t	t	PROPN
ejpam-6281	175	50	)	)	PUNCT
ejpam-6281	175	51	+2d2(1	+2d2(1	PROPN
ejpam-6281	176	1	+	+	CCONJ
ejpam-6281	176	2	χδ)a3	χδ)a3	PROPN
ejpam-6281	176	3	cos	cos	PROPN
ejpam-6281	176	4	ρ2	ρ2	PROPN
ejpam-6281	176	5	t	t	NOUN
ejpam-6281	176	6	+	+	NOUN
ejpam-6281	176	7	2δ(1	2δ(1	NUM
ejpam-6281	177	1	+	+	CCONJ
ejpam-6281	177	2	χδ)a3[a1	χδ)a3[a1	VERB
ejpam-6281	177	3	cos(ρ1	cos(ρ1	ADJ
ejpam-6281	177	4	−	−	PROPN
ejpam-6281	178	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	179	1	+	+	PROPN
ejpam-6281	179	2	a2	a2	PROPN
ejpam-6281	179	3	×	×	PROPN
ejpam-6281	179	4	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	180	1	−	−	PROPN
ejpam-6281	180	2	ρ2)t	ρ2)t	PROPN
ejpam-6281	180	3	]	]	PUNCT
ejpam-6281	181	1	+	+	CCONJ
ejpam-6281	181	2	2δ2(1	2δ2(1	NUM
ejpam-6281	181	3	+	+	CCONJ
ejpam-6281	181	4	χδ)λ́2r10	χδ)λ́2r10	PROPN
ejpam-6281	181	5	(	(	PUNCT
ejpam-6281	181	6	ρ1+ρ2	ρ1+ρ2	PROPN
ejpam-6281	181	7	ρ1ρ2	ρ1ρ2	PROPN
ejpam-6281	181	8	)	)	PUNCT
ejpam-6281	181	9	(	(	PUNCT
ejpam-6281	181	10	a1	a1	NOUN
ejpam-6281	181	11	sin	sin	NOUN
ejpam-6281	181	12	ρ1	ρ1	PROPN
ejpam-6281	181	13	t	t	PROPN
ejpam-6281	181	14	−a2	−a2	PROPN
ejpam-6281	181	15	cos	cos	PROPN
ejpam-6281	181	16	ρ1	ρ1	PROPN
ejpam-6281	181	17	t	t	PROPN
ejpam-6281	181	18	)	)	PUNCT
ejpam-6281	181	19	+2δ(1	+2δ(1	PROPN
ejpam-6281	181	20	+	+	CCONJ
ejpam-6281	181	21	χδ)2λ́2r10	χδ)2λ́2r10	NOUN
ejpam-6281	181	22	(	(	PUNCT
ejpam-6281	181	23	ρ1+ρ2	ρ1+ρ2	PROPN
ejpam-6281	181	24	ρ1ρ2	ρ1ρ2	NOUN
ejpam-6281	181	25	)	)	PUNCT
ejpam-6281	181	26	a3	a3	NOUN
ejpam-6281	181	27	sin	sin	NOUN
ejpam-6281	181	28	ρ2	ρ2	PROPN
ejpam-6281	181	29	t	t	NOUN
ejpam-6281	181	30	+	+	CCONJ
ejpam-6281	181	31	δ2(1	δ2(1	PROPN
ejpam-6281	181	32	+	+	CCONJ
ejpam-6281	181	33	χδ)2(λ́2r10	χδ)2(λ́2r10	NOUN
ejpam-6281	181	34	)	)	PUNCT
ejpam-6281	181	35	2	2	NUM
ejpam-6281	181	36	×(ρ1+ρ2	×(ρ1+ρ2	ADJ
ejpam-6281	181	37	ρ1ρ2	ρ1ρ2	VERB
ejpam-6281	181	38	)	)	PUNCT
ejpam-6281	181	39	2	2	NUM
ejpam-6281	181	40	,	,	PUNCT
ejpam-6281	181	41	u	u	NOUN
ejpam-6281	181	42	(	(	PUNCT
ejpam-6281	181	43	0	0	NUM
ejpam-6281	181	44	)	)	SYM
ejpam-6281	181	45	2	2	NUM
ejpam-6281	181	46	=	=	NOUN
ejpam-6281	181	47	d21	d21	NOUN
ejpam-6281	181	48	+	+	CCONJ
ejpam-6281	181	49	(	(	PUNCT
ejpam-6281	181	50	a2	a2	PROPN
ejpam-6281	181	51	1	1	NUM
ejpam-6281	181	52	+	+	NOUN
ejpam-6281	181	53	a2	a2	PROPN
ejpam-6281	181	54	2	2	NUM
ejpam-6281	181	55	)	)	PUNCT
ejpam-6281	182	1	+	+	NOUN
ejpam-6281	183	1	χ2a2	χ2a2	SYM
ejpam-6281	183	2	3	3	NUM
ejpam-6281	183	3	−	−	NOUN
ejpam-6281	183	4	2d2	2d2	NUM
ejpam-6281	184	1	+	+	CCONJ
ejpam-6281	184	2	2(d1	2(d1	NUM
ejpam-6281	184	3	−	−	NOUN
ejpam-6281	184	4	δ)(a1	δ)(a1	PROPN
ejpam-6281	184	5	cos	cos	PROPN
ejpam-6281	184	6	ρ1	ρ1	PROPN
ejpam-6281	184	7	t	t	PROPN
ejpam-6281	184	8	+	+	PROPN
ejpam-6281	184	9	a2	a2	PROPN
ejpam-6281	184	10	sin	sin	NOUN
ejpam-6281	184	11	ρ1	ρ1	PROPN
ejpam-6281	184	12	t	t	PROPN
ejpam-6281	184	13	)	)	PUNCT
ejpam-6281	185	1	+2(d1χ−	+2(d1χ−	ADP
ejpam-6281	185	2	1−	1−	NUM
ejpam-6281	185	3	χδ)a3	χδ)a3	PROPN
ejpam-6281	185	4	cos	cos	PROPN
ejpam-6281	185	5	ρ2	ρ2	PROPN
ejpam-6281	185	6	t	t	NOUN
ejpam-6281	185	7	+	+	CCONJ
ejpam-6281	185	8	u	u	X
ejpam-6281	185	9	(	(	PUNCT
ejpam-6281	185	10	0	0	NUM
ejpam-6281	185	11	)	)	SYM
ejpam-6281	185	12	1	1	NUM
ejpam-6281	185	13	(	(	PUNCT
ejpam-6281	185	14	1	1	NUM
ejpam-6281	185	15	+	+	CCONJ
ejpam-6281	185	16	k	k	NOUN
ejpam-6281	185	17	)	)	PUNCT
ejpam-6281	186	1	+	+	CCONJ
ejpam-6281	187	1	2χa3[a1	2χa3[a1	NUM
ejpam-6281	187	2	cos(ρ1	cos(ρ1	ADJ
ejpam-6281	187	3	−	−	ADP
ejpam-6281	187	4	ρ2)t	ρ2)t	PROPN
ejpam-6281	187	5	+	+	PROPN
ejpam-6281	187	6	a2	a2	PROPN
ejpam-6281	187	7	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	187	8	−	−	PROPN
ejpam-6281	188	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	188	2	]	]	PUNCT
ejpam-6281	189	1	+	+	CCONJ
ejpam-6281	189	2	λ́2r10	λ́2r10	X
ejpam-6281	189	3	[	[	PUNCT
ejpam-6281	189	4	χδ(ρ1+ρ2)+ρ2	χδ(ρ1+ρ2)+ρ2	PROPN
ejpam-6281	189	5	ρ1ρ2	ρ1ρ2	NOUN
ejpam-6281	189	6	]	]	PUNCT
ejpam-6281	189	7	[	[	X
ejpam-6281	189	8	2(a1	2(a1	NUM
ejpam-6281	189	9	sin	sin	NOUN
ejpam-6281	189	10	ρ1	ρ1	NOUN
ejpam-6281	189	11	t	t	PROPN
ejpam-6281	189	12	−a2	−a2	PROPN
ejpam-6281	189	13	cos	cos	PROPN
ejpam-6281	189	14	ρ1	ρ1	PROPN
ejpam-6281	189	15	t	t	PROPN
ejpam-6281	189	16	)	)	PUNCT
ejpam-6281	189	17	+2χλ́2r10	+2χλ́2r10	PROPN
ejpam-6281	189	18	ρ1χδ+ρ2(1−χδ	ρ1χδ+ρ2(1−χδ	VERB
ejpam-6281	189	19	)	)	PUNCT
ejpam-6281	189	20	ρ1ρ2	ρ1ρ2	NOUN
ejpam-6281	189	21	a3	a3	NOUN
ejpam-6281	189	22	sin	sin	NOUN
ejpam-6281	189	23	ρ2	ρ2	PROPN
ejpam-6281	189	24	t	t	NOUN
ejpam-6281	189	25	+	+	CCONJ
ejpam-6281	189	26	(	(	PUNCT
ejpam-6281	189	27	λ́2r10	λ́2r10	NOUN
ejpam-6281	189	28	)	)	PUNCT
ejpam-6281	189	29	2(χδ(ρ1+ρ2)+ρ2	2(χδ(ρ1+ρ2)+ρ2	NUM
ejpam-6281	189	30	ρ1ρ2	ρ1ρ2	NOUN
ejpam-6281	189	31	)	)	PUNCT
ejpam-6281	189	32	2	2	NUM
ejpam-6281	189	33	]	]	PUNCT
ejpam-6281	189	34	.	.	PUNCT
ejpam-6281	190	1	(	(	PUNCT
ejpam-6281	190	2	16	16	NUM
ejpam-6281	190	3	)	)	PUNCT
ejpam-6281	190	4	the	the	DET
ejpam-6281	190	5	expressions	expression	NOUN
ejpam-6281	190	6	for	for	ADP
ejpam-6281	190	7	nd	nd	PRON
ejpam-6281	190	8	;	;	PUNCT
ejpam-6281	190	9	(	(	PUNCT
ejpam-6281	190	10	d	d	NOUN
ejpam-6281	190	11	=	=	SYM
ejpam-6281	190	12	1	1	NUM
ejpam-6281	190	13	,	,	PUNCT
ejpam-6281	190	14	2	2	NUM
ejpam-6281	190	15	,	,	PUNCT
ejpam-6281	190	16	3	3	NUM
ejpam-6281	190	17	,	,	PUNCT
ejpam-6281	190	18	4	4	NUM
ejpam-6281	190	19	)	)	PUNCT
ejpam-6281	190	20	in	in	ADP
ejpam-6281	190	21	(	(	PUNCT
ejpam-6281	190	22	9	9	X
ejpam-6281	190	23	)	)	PUNCT
ejpam-6281	190	24	can	can	AUX
ejpam-6281	190	25	be	be	AUX
ejpam-6281	190	26	reformulated	reformulate	VERB
ejpam-6281	190	27	in	in	ADP
ejpam-6281	190	28	the	the	DET
ejpam-6281	190	29	form	form	NOUN
ejpam-6281	190	30	n1	n1	NOUN
ejpam-6281	190	31	=	=	SYM
ejpam-6281	191	1	λ1q2	λ1q2	PUNCT
ejpam-6281	192	1	+	+	PUNCT
ejpam-6281	192	2	λ2β2	λ2β2	PUNCT
ejpam-6281	192	3	+	+	NUM
ejpam-6281	192	4	λ3	λ3	PROPN
ejpam-6281	192	5	,	,	PUNCT
ejpam-6281	192	6	n2	n2	NOUN
ejpam-6281	192	7	=	=	PUNCT
ejpam-6281	192	8	−(λ1p2	−(λ1p2	PUNCT
ejpam-6281	192	9	+	+	CCONJ
ejpam-6281	192	10	λ2α2	λ2α2	NOUN
ejpam-6281	192	11	)	)	PUNCT
ejpam-6281	192	12	+	+	CCONJ
ejpam-6281	192	13	λ4	λ4	ADJ
ejpam-6281	192	14	,	,	PUNCT
ejpam-6281	192	15	n3	n3	NOUN
ejpam-6281	192	16	=	=	SYM
ejpam-6281	192	17	λ5q2	λ5q2	PROPN
ejpam-6281	193	1	+	+	PUNCT
ejpam-6281	193	2	λ6β2	λ6β2	PROPN
ejpam-6281	193	3	+	+	SYM
ejpam-6281	193	4	λ7	λ7	ADJ
ejpam-6281	193	5	,	,	PUNCT
ejpam-6281	193	6	n4	n4	PROPN
ejpam-6281	193	7	=	=	PUNCT
ejpam-6281	193	8	−(λ5p2	−(λ5p2	PUNCT
ejpam-6281	194	1	+	+	CCONJ
ejpam-6281	194	2	λ6α2	λ6α2	NOUN
ejpam-6281	194	3	)	)	PUNCT
ejpam-6281	195	1	+	+	CCONJ
ejpam-6281	195	2	λ8	λ8	ADJ
ejpam-6281	195	3	,	,	PUNCT
ejpam-6281	195	4	(	(	PUNCT
ejpam-6281	195	5	17	17	NUM
ejpam-6281	195	6	)	)	PUNCT
ejpam-6281	195	7	where	where	SCONJ
ejpam-6281	195	8	λ1	λ1	ADJ
ejpam-6281	195	9	=	=	SYM
ejpam-6281	195	10	−a(1	−a(1	NOUN
ejpam-6281	195	11	+	+	CCONJ
ejpam-6281	195	12	χδ)u2	χδ)u2	PROPN
ejpam-6281	195	13	+	+	CCONJ
ejpam-6281	195	14	χ(δu2	χ(δu2	ADJ
ejpam-6281	195	15	−	−	NOUN
ejpam-6281	195	16	u1	u1	NOUN
ejpam-6281	195	17	)	)	PUNCT
ejpam-6281	196	1	+	+	CCONJ
ejpam-6281	196	2	kβ(1	kβ(1	PROPN
ejpam-6281	196	3	+	+	CCONJ
ejpam-6281	196	4	χδ)u1	χδ)u1	PROPN
ejpam-6281	196	5	,	,	PUNCT
ejpam-6281	196	6	λ2	λ2	NOUN
ejpam-6281	196	7	=	=	SYM
ejpam-6281	196	8	−χa(1	−χa(1	PROPN
ejpam-6281	196	9	+	+	CCONJ
ejpam-6281	196	10	χδ)u2	χδ)u2	PROPN
ejpam-6281	196	11	−	−	PROPN
ejpam-6281	196	12	χ[χu1	χ[χu1	PROPN
ejpam-6281	196	13	−	−	PROPN
ejpam-6281	197	1	(	(	PUNCT
ejpam-6281	197	2	1	1	NUM
ejpam-6281	197	3	+	+	CCONJ
ejpam-6281	197	4	χδ)u2	χδ)u2	NOUN
ejpam-6281	197	5	]	]	PUNCT
ejpam-6281	198	1	+	+	CCONJ
ejpam-6281	198	2	kβ(1	kβ(1	PROPN
ejpam-6281	198	3	+	+	CCONJ
ejpam-6281	198	4	χδ)2u1	χδ)2u1	PROPN
ejpam-6281	198	5	,	,	PUNCT
ejpam-6281	198	6	λ3	λ3	PROPN
ejpam-6281	198	7	=	=	SYM
ejpam-6281	198	8	−(1	−(1	NOUN
ejpam-6281	198	9	+	+	PROPN
ejpam-6281	198	10	χδ)λ́2u2	χδ)λ́2u2	PROPN
ejpam-6281	198	11	,	,	PUNCT
ejpam-6281	198	12	λ4	λ4	PROPN
ejpam-6281	198	13	=	=	PUNCT
ejpam-6281	198	14	(	(	PUNCT
ejpam-6281	198	15	1	1	NUM
ejpam-6281	198	16	+	+	NUM
ejpam-6281	198	17	χδ)[ad1u2	χδ)[ad1u2	PROPN
ejpam-6281	198	18	+	+	CCONJ
ejpam-6281	198	19	u1(1−	u1(1−	PROPN
ejpam-6281	198	20	kd2	kd2	PROPN
ejpam-6281	198	21	)	)	PUNCT
ejpam-6281	198	22	]	]	PUNCT
ejpam-6281	199	1	+	+	CCONJ
ejpam-6281	199	2	χ(d1u1	χ(d1u1	NOUN
ejpam-6281	199	3	−	−	PROPN
ejpam-6281	199	4	d2u2	d2u2	NOUN
ejpam-6281	199	5	)	)	PUNCT
ejpam-6281	199	6	,	,	PUNCT
ejpam-6281	199	7	λ5	λ5	NOUN
ejpam-6281	199	8	=	=	SYM
ejpam-6281	199	9	δu2(a−	δu2(a−	NOUN
ejpam-6281	199	10	1	1	NUM
ejpam-6281	199	11	)	)	PUNCT
ejpam-6281	199	12	+	+	CCONJ
ejpam-6281	199	13	u1(1−	u1(1−	PROPN
ejpam-6281	199	14	kδ2	kδ2	PROPN
ejpam-6281	199	15	)	)	PUNCT
ejpam-6281	199	16	,	,	PUNCT
ejpam-6281	199	17	λ6	λ6	NOUN
ejpam-6281	199	18	=	=	PUNCT
ejpam-6281	199	19	χ(δau2	χ(δau2	PROPN
ejpam-6281	199	20	+	+	X
ejpam-6281	199	21	u1)−	u1)−	ADJ
ejpam-6281	199	22	(	(	PUNCT
ejpam-6281	199	23	1	1	NUM
ejpam-6281	199	24	+	+	NUM
ejpam-6281	199	25	χδ)(u2	χδ)(u2	ADJ
ejpam-6281	199	26	−	−	PROPN
ejpam-6281	199	27	ku1	ku1	NOUN
ejpam-6281	199	28	)	)	PUNCT
ejpam-6281	199	29	,	,	PUNCT
ejpam-6281	199	30	λ7	λ7	PROPN
ejpam-6281	199	31	=	=	SYM
ejpam-6281	199	32	δλ́2u2	δλ́2u2	PROPN
ejpam-6281	199	33	,	,	PUNCT
ejpam-6281	199	34	λ8	λ8	NOUN
ejpam-6281	199	35	=	=	PUNCT
ejpam-6281	199	36	−δ[au2d1	−δ[au2d1	NOUN
ejpam-6281	200	1	+	+	CCONJ
ejpam-6281	200	2	u1(1−	u1(1−	PROPN
ejpam-6281	200	3	kd2)]−	kd2)]−	PROPN
ejpam-6281	200	4	(	(	PUNCT
ejpam-6281	200	5	d1u1	d1u1	NOUN
ejpam-6281	200	6	−	−	PROPN
ejpam-6281	200	7	d2u2	d2u2	NOUN
ejpam-6281	200	8	)	)	PUNCT
ejpam-6281	200	9	.	.	PUNCT
ejpam-6281	201	1	(	(	PUNCT
ejpam-6281	201	2	18	18	NUM
ejpam-6281	201	3	)	)	PUNCT
ejpam-6281	201	4	using	use	VERB
ejpam-6281	201	5	the	the	DET
ejpam-6281	201	6	aforementioned	aforementioned	ADJ
ejpam-6281	201	7	equations	equation	NOUN
ejpam-6281	201	8	,	,	PUNCT
ejpam-6281	201	9	the	the	DET
ejpam-6281	201	10	unperturbed	unperturbed	ADJ
ejpam-6281	201	11	notations	notation	NOUN
ejpam-6281	201	12	of	of	ADP
ejpam-6281	201	13	λl	λl	NOUN
ejpam-6281	201	14	;	;	PUNCT
ejpam-6281	201	15	(	(	PUNCT
ejpam-6281	201	16	l	l	NOUN
ejpam-6281	201	17	=	=	SYM
ejpam-6281	201	18	1	1	NUM
ejpam-6281	201	19	,	,	PUNCT
ejpam-6281	201	20	2	2	NUM
ejpam-6281	201	21	,	,	PUNCT
ejpam-6281	201	22	...	...	PUNCT
ejpam-6281	201	23	,	,	PUNCT
ejpam-6281	201	24	8)are	8)are	PROPN
ejpam-6281	201	25	written	write	VERB
ejpam-6281	201	26	as	as	ADP
ejpam-6281	201	27	:	:	PUNCT
ejpam-6281	201	28	λ	λ	PROPN
ejpam-6281	201	29	(	(	PUNCT
ejpam-6281	201	30	0	0	NUM
ejpam-6281	201	31	)	)	PUNCT
ejpam-6281	201	32	l	l	NOUN
ejpam-6281	201	33	=	=	PUNCT
ejpam-6281	202	1	[	[	PUNCT
ejpam-6281	202	2	γl1	γl1	NOUN
ejpam-6281	202	3	+	+	X
ejpam-6281	202	4	γl2	γl2	NOUN
ejpam-6281	202	5	(	(	PUNCT
ejpam-6281	202	6	a2	a2	PROPN
ejpam-6281	202	7	1	1	NUM
ejpam-6281	202	8	+	+	NOUN
ejpam-6281	202	9	a2	a2	PROPN
ejpam-6281	202	10	2	2	NUM
ejpam-6281	202	11	)	)	PUNCT
ejpam-6281	203	1	+	+	CCONJ
ejpam-6281	203	2	γl3a	γl3a	X
ejpam-6281	203	3	2	2	NUM
ejpam-6281	203	4	3	3	NUM
ejpam-6281	203	5	]	]	PUNCT
ejpam-6281	203	6	+	+	CCONJ
ejpam-6281	203	7	γl4	γl4	ADJ
ejpam-6281	203	8	(	(	PUNCT
ejpam-6281	203	9	a1	a1	PROPN
ejpam-6281	203	10	cos	cos	PROPN
ejpam-6281	203	11	ρ1	ρ1	PROPN
ejpam-6281	203	12	t	t	PROPN
ejpam-6281	203	13	+	+	PROPN
ejpam-6281	203	14	a2	a2	PROPN
ejpam-6281	203	15	sin	sin	NOUN
ejpam-6281	203	16	ρ1	ρ1	PROPN
ejpam-6281	203	17	t	t	PROPN
ejpam-6281	203	18	)	)	PUNCT
ejpam-6281	204	1	+	+	CCONJ
ejpam-6281	204	2	γl5a3	γl5a3	PROPN
ejpam-6281	204	3	cos	cos	PROPN
ejpam-6281	204	4	ρ2	ρ2	PROPN
ejpam-6281	204	5	t	t	NOUN
ejpam-6281	204	6	+	+	X
ejpam-6281	204	7	γl6a3	γl6a3	PROPN
ejpam-6281	205	1	[	[	X
ejpam-6281	205	2	a1	a1	NOUN
ejpam-6281	205	3	cos	cos	PROPN
ejpam-6281	205	4	(	(	PUNCT
ejpam-6281	205	5	ρ1	ρ1	NOUN
ejpam-6281	205	6	−	−	PROPN
ejpam-6281	205	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	205	8	+	+	NOUN
ejpam-6281	205	9	a2	a2	PROPN
ejpam-6281	205	10	sin	sin	NOUN
ejpam-6281	205	11	(	(	PUNCT
ejpam-6281	205	12	ρ1	ρ1	NOUN
ejpam-6281	205	13	−	−	PROPN
ejpam-6281	205	14	ρ2)t	ρ2)t	PROPN
ejpam-6281	205	15	]	]	PUNCT
ejpam-6281	205	16	+	+	CCONJ
ejpam-6281	205	17	γl7	γl7	NOUN
ejpam-6281	205	18	(	(	PUNCT
ejpam-6281	205	19	a1	a1	NOUN
ejpam-6281	205	20	sin	sin	NOUN
ejpam-6281	205	21	ρ1	ρ1	PROPN
ejpam-6281	205	22	t	t	PROPN
ejpam-6281	205	23	−a2	−a2	PROPN
ejpam-6281	205	24	cos	cos	PROPN
ejpam-6281	205	25	ρ1	ρ1	PROPN
ejpam-6281	205	26	t	t	PROPN
ejpam-6281	205	27	)	)	PUNCT
ejpam-6281	205	28	+	+	CCONJ
ejpam-6281	206	1	γl8a3	γl8a3	PROPN
ejpam-6281	206	2	sin	sin	NOUN
ejpam-6281	206	3	ρ1	ρ1	PROPN
ejpam-6281	206	4	t	t	PROPN
ejpam-6281	206	5	(	(	PUNCT
ejpam-6281	206	6	19	19	NUM
ejpam-6281	206	7	)	)	PUNCT
ejpam-6281	206	8	where	where	SCONJ
ejpam-6281	206	9	γlr	γlr	NOUN
ejpam-6281	206	10	represents	represent	VERB
ejpam-6281	206	11	elements	element	NOUN
ejpam-6281	206	12	of	of	ADP
ejpam-6281	206	13	the	the	DET
ejpam-6281	206	14	square	square	ADJ
ejpam-6281	206	15	matrix∥	matrix∥	NOUN
ejpam-6281	206	16	γlr	γlr	ADP
ejpam-6281	206	17	∥	∥	NUM
ejpam-6281	206	18	;	;	PUNCT
ejpam-6281	206	19	(	(	PUNCT
ejpam-6281	206	20	l	l	NOUN
ejpam-6281	206	21	,	,	PUNCT
ejpam-6281	206	22	r	r	NOUN
ejpam-6281	206	23	=	=	SYM
ejpam-6281	206	24	1	1	NUM
ejpam-6281	206	25	,	,	PUNCT
ejpam-6281	206	26	2	2	NUM
ejpam-6281	206	27	,	,	PUNCT
ejpam-6281	206	28	3	3	NUM
ejpam-6281	206	29	,	,	PUNCT
ejpam-6281	206	30	...	...	PUNCT
ejpam-6281	206	31	,	,	PUNCT
ejpam-6281	206	32	8)	8)	NUM
ejpam-6281	206	33	.	.	PUNCT
ejpam-6281	206	34	to	to	PART
ejpam-6281	206	35	determine	determine	VERB
ejpam-6281	206	36	these	these	DET
ejpam-6281	206	37	elements	element	NOUN
ejpam-6281	206	38	,	,	PUNCT
ejpam-6281	206	39	substitute	substitute	NOUN
ejpam-6281	206	40	u	u	NOUN
ejpam-6281	206	41	(	(	PUNCT
ejpam-6281	206	42	0	0	NUM
ejpam-6281	206	43	)	)	PUNCT
ejpam-6281	206	44	1	1	NUM
ejpam-6281	206	45	,	,	PUNCT
ejpam-6281	206	46	u	u	NOUN
ejpam-6281	206	47	(	(	PUNCT
ejpam-6281	206	48	0	0	NUM
ejpam-6281	206	49	)	)	PUNCT
ejpam-6281	206	50	2	2	NUM
ejpam-6281	206	51	into	into	ADP
ejpam-6281	206	52	equation	equation	NOUN
ejpam-6281	206	53	(	(	PUNCT
ejpam-6281	206	54	7	7	NUM
ejpam-6281	206	55	)	)	PUNCT
ejpam-6281	206	56	to	to	PART
ejpam-6281	206	57	obtain	obtain	VERB
ejpam-6281	206	58	u	u	NOUN
ejpam-6281	206	59	(	(	PUNCT
ejpam-6281	206	60	0	0	NUM
ejpam-6281	206	61	)	)	PUNCT
ejpam-6281	206	62	1	1	NUM
ejpam-6281	206	63	and	and	CCONJ
ejpam-6281	206	64	u	u	NOUN
ejpam-6281	206	65	(	(	PUNCT
ejpam-6281	206	66	0	0	NUM
ejpam-6281	206	67	)	)	PUNCT
ejpam-6281	206	68	2	2	NUM
ejpam-6281	206	69	.	.	PUNCT
ejpam-6281	207	1	consequently	consequently	ADV
ejpam-6281	207	2	,	,	PUNCT
ejpam-6281	207	3	γ1r	γ1r	PROPN
ejpam-6281	207	4	,	,	PUNCT
ejpam-6281	207	5	γ2r	γ2r	PROPN
ejpam-6281	207	6	,	,	PUNCT
ejpam-6281	207	7	...	...	PUNCT
ejpam-6281	207	8	,	,	PUNCT
ejpam-6281	207	9	γ8r	γ8r	PUNCT
ejpam-6281	207	10	can	can	AUX
ejpam-6281	207	11	be	be	AUX
ejpam-6281	207	12	obtained	obtain	VERB
ejpam-6281	207	13	smoothly	smoothly	ADV
ejpam-6281	207	14	(	(	PUNCT
ejpam-6281	207	15	see	see	VERB
ejpam-6281	207	16	appendix	appendix	NOUN
ejpam-6281	207	17	i	i	PRON
ejpam-6281	207	18	)	)	PUNCT
ejpam-6281	207	19	.	.	PUNCT
ejpam-6281	208	1	by	by	ADP
ejpam-6281	208	2	examining	examine	VERB
ejpam-6281	208	3	the	the	DET
ejpam-6281	208	4	solutions	solution	NOUN
ejpam-6281	208	5	in	in	ADP
ejpam-6281	208	6	equation	equation	NOUN
ejpam-6281	208	7	(	(	PUNCT
ejpam-6281	208	8	14	14	NUM
ejpam-6281	208	9	)	)	PUNCT
ejpam-6281	208	10	,	,	PUNCT
ejpam-6281	208	11	it	it	PRON
ejpam-6281	208	12	becomes	become	VERB
ejpam-6281	208	13	clear	clear	ADJ
ejpam-6281	208	14	that	that	SCONJ
ejpam-6281	208	15	these	these	DET
ejpam-6281	208	16	solutions	solution	NOUN
ejpam-6281	208	17	can	can	AUX
ejpam-6281	208	18	be	be	AUX
ejpam-6281	208	19	achieved	achieve	VERB
ejpam-6281	208	20	if	if	SCONJ
ejpam-6281	208	21	d	d	PROPN
ejpam-6281	208	22	(	(	PUNCT
ejpam-6281	208	23	n	n	CCONJ
ejpam-6281	208	24	)	)	PUNCT
ejpam-6281	208	25	d	d	NOUN
ejpam-6281	208	26	(	(	PUNCT
ejpam-6281	208	27	t	t	PROPN
ejpam-6281	208	28	)	)	PUNCT
ejpam-6281	208	29	are	be	AUX
ejpam-6281	208	30	calculated	calculate	VERB
ejpam-6281	208	31	.	.	PUNCT
ejpam-6281	209	1	by	by	ADP
ejpam-6281	209	2	inserting	insert	VERB
ejpam-6281	209	3	the	the	DET
ejpam-6281	209	4	solutions	solution	NOUN
ejpam-6281	209	5	(	(	PUNCT
ejpam-6281	209	6	14	14	NUM
ejpam-6281	209	7	)	)	PUNCT
ejpam-6281	209	8	into	into	ADP
ejpam-6281	209	9	system	system	NOUN
ejpam-6281	209	10	(	(	PUNCT
ejpam-6281	209	11	11	11	NUM
ejpam-6281	209	12	)	)	PUNCT
ejpam-6281	209	13	and	and	CCONJ
ejpam-6281	209	14	equaling	equal	VERB
ejpam-6281	209	15	the	the	DET
ejpam-6281	209	16	coefficients	coefficient	NOUN
ejpam-6281	209	17	of	of	ADP
ejpam-6281	209	18	corresponding	correspond	VERB
ejpam-6281	209	19	powers	power	NOUN
ejpam-6281	209	20	of	of	ADP
ejpam-6281	209	21	ε−1	ε−1	PROPN
ejpam-6281	209	22	on	on	ADP
ejpam-6281	209	23	both	both	DET
ejpam-6281	209	24	sides	side	NOUN
ejpam-6281	209	25	,	,	PUNCT
ejpam-6281	209	26	we	we	PRON
ejpam-6281	209	27	derive	derive	VERB
ejpam-6281	209	28	a	a	DET
ejpam-6281	209	29	system	system	NOUN
ejpam-6281	209	30	t.	t.	PROPN
ejpam-6281	209	31	s.	s.	PROPN
ejpam-6281	209	32	amer	amer	PROPN
ejpam-6281	209	33	et	et	PROPN
ejpam-6281	209	34	al	al	PROPN
ejpam-6281	209	35	.	.	PUNCT
ejpam-6281	209	36	/	/	SYM
ejpam-6281	209	37	eur	eur	PROPN
ejpam-6281	209	38	.	.	PUNCT
ejpam-6281	210	1	j.	j.	PROPN
ejpam-6281	210	2	pure	pure	PROPN
ejpam-6281	210	3	appl	appl	PROPN
ejpam-6281	210	4	.	.	PROPN
ejpam-6281	210	5	math	math	PROPN
ejpam-6281	210	6	,	,	PUNCT
ejpam-6281	210	7	18	18	NUM
ejpam-6281	210	8	(	(	PUNCT
ejpam-6281	210	9	3	3	NUM
ejpam-6281	210	10	)	)	PUNCT
ejpam-6281	210	11	(	(	PUNCT
ejpam-6281	210	12	2025	2025	NUM
ejpam-6281	210	13	)	)	PUNCT
ejpam-6281	210	14	,	,	PUNCT
ejpam-6281	210	15	6281	6281	NUM
ejpam-6281	210	16	10	10	NUM
ejpam-6281	210	17	of	of	ADP
ejpam-6281	210	18	35	35	NUM
ejpam-6281	210	19	that	that	PRON
ejpam-6281	210	20	defines	define	VERB
ejpam-6281	210	21	the	the	DET
ejpam-6281	210	22	coefficients	coefficient	NOUN
ejpam-6281	210	23	d	d	X
ejpam-6281	210	24	(	(	PUNCT
ejpam-6281	210	25	n	n	CCONJ
ejpam-6281	210	26	)	)	PUNCT
ejpam-6281	210	27	d	d	NOUN
ejpam-6281	210	28	(	(	PUNCT
ejpam-6281	210	29	t	t	NOUN
ejpam-6281	210	30	)	)	PUNCT
ejpam-6281	210	31	in	in	ADP
ejpam-6281	210	32	(	(	PUNCT
ejpam-6281	210	33	14	14	NUM
ejpam-6281	210	34	)	)	PUNCT
ejpam-6281	210	35	as	as	SCONJ
ejpam-6281	210	36	follows	follow	VERB
ejpam-6281	210	37	dd	dd	NOUN
ejpam-6281	210	38	(	(	PUNCT
ejpam-6281	210	39	n	n	CCONJ
ejpam-6281	210	40	)	)	PUNCT
ejpam-6281	210	41	1	1	NUM
ejpam-6281	210	42	dt	dt	NOUN
ejpam-6281	210	43	=	=	SYM
ejpam-6281	210	44	ρ1d	ρ1d	PROPN
ejpam-6281	210	45	(	(	PUNCT
ejpam-6281	210	46	n	n	CCONJ
ejpam-6281	210	47	)	)	PUNCT
ejpam-6281	210	48	2	2	NUM
ejpam-6281	210	49	(	(	PUNCT
ejpam-6281	210	50	t	t	PROPN
ejpam-6281	210	51	)	)	PUNCT
ejpam-6281	211	1	+	+	CCONJ
ejpam-6281	211	2	v	v	X
ejpam-6281	211	3	(	(	PUNCT
ejpam-6281	211	4	n	n	CCONJ
ejpam-6281	211	5	)	)	PUNCT
ejpam-6281	211	6	1	1	NUM
ejpam-6281	211	7	(	(	PUNCT
ejpam-6281	211	8	t	t	PROPN
ejpam-6281	211	9	)	)	PUNCT
ejpam-6281	211	10	,	,	PUNCT
ejpam-6281	211	11	dd	dd	NOUN
ejpam-6281	211	12	(	(	PUNCT
ejpam-6281	211	13	n	n	CCONJ
ejpam-6281	211	14	)	)	PUNCT
ejpam-6281	211	15	2	2	NUM
ejpam-6281	211	16	dt	dt	NOUN
ejpam-6281	211	17	=	=	SYM
ejpam-6281	211	18	−ρ1d(n	−ρ1d(n	PROPN
ejpam-6281	211	19	)	)	PUNCT
ejpam-6281	211	20	1	1	NUM
ejpam-6281	211	21	(	(	PUNCT
ejpam-6281	211	22	t	t	PROPN
ejpam-6281	211	23	)	)	PUNCT
ejpam-6281	212	1	+	+	CCONJ
ejpam-6281	212	2	v	v	X
ejpam-6281	212	3	(	(	PUNCT
ejpam-6281	212	4	n	n	CCONJ
ejpam-6281	212	5	)	)	PUNCT
ejpam-6281	212	6	2	2	NUM
ejpam-6281	212	7	(	(	PUNCT
ejpam-6281	212	8	t	t	PROPN
ejpam-6281	212	9	)	)	PUNCT
ejpam-6281	212	10	,	,	PUNCT
ejpam-6281	212	11	dd	dd	NOUN
ejpam-6281	212	12	(	(	PUNCT
ejpam-6281	212	13	n	n	CCONJ
ejpam-6281	212	14	)	)	PUNCT
ejpam-6281	212	15	3	3	NUM
ejpam-6281	212	16	dt	dt	NOUN
ejpam-6281	212	17	=	=	SYM
ejpam-6281	212	18	ρ2d	ρ2d	PROPN
ejpam-6281	212	19	(	(	PUNCT
ejpam-6281	212	20	n	n	CCONJ
ejpam-6281	212	21	)	)	PUNCT
ejpam-6281	212	22	4	4	NUM
ejpam-6281	212	23	(	(	PUNCT
ejpam-6281	212	24	t	t	PROPN
ejpam-6281	212	25	)	)	PUNCT
ejpam-6281	213	1	+	+	CCONJ
ejpam-6281	213	2	v	v	X
ejpam-6281	213	3	(	(	PUNCT
ejpam-6281	213	4	n	n	CCONJ
ejpam-6281	213	5	)	)	PUNCT
ejpam-6281	213	6	3	3	NUM
ejpam-6281	213	7	(	(	PUNCT
ejpam-6281	213	8	t	t	PROPN
ejpam-6281	213	9	)	)	PUNCT
ejpam-6281	213	10	,	,	PUNCT
ejpam-6281	213	11	dd	dd	NOUN
ejpam-6281	213	12	(	(	PUNCT
ejpam-6281	213	13	n	n	CCONJ
ejpam-6281	213	14	)	)	PUNCT
ejpam-6281	213	15	4	4	NUM
ejpam-6281	213	16	dt	dt	NOUN
ejpam-6281	213	17	=	=	SYM
ejpam-6281	213	18	−ρ2d(n	−ρ2d(n	PROPN
ejpam-6281	213	19	)	)	PUNCT
ejpam-6281	213	20	3	3	NUM
ejpam-6281	213	21	(	(	PUNCT
ejpam-6281	213	22	t	t	PROPN
ejpam-6281	213	23	)	)	PUNCT
ejpam-6281	214	1	+	+	CCONJ
ejpam-6281	214	2	v	v	X
ejpam-6281	214	3	(	(	PUNCT
ejpam-6281	214	4	n	n	CCONJ
ejpam-6281	214	5	)	)	PUNCT
ejpam-6281	214	6	4	4	NUM
ejpam-6281	214	7	(	(	PUNCT
ejpam-6281	214	8	t	t	PROPN
ejpam-6281	214	9	)	)	PUNCT
ejpam-6281	214	10	,	,	PUNCT
ejpam-6281	214	11	(	(	PUNCT
ejpam-6281	214	12	20	20	NUM
ejpam-6281	214	13	)	)	PUNCT
ejpam-6281	214	14	where	where	SCONJ
ejpam-6281	214	15	the	the	DET
ejpam-6281	214	16	conditions	condition	NOUN
ejpam-6281	214	17	d	d	X
ejpam-6281	214	18	(	(	PUNCT
ejpam-6281	214	19	n	n	CCONJ
ejpam-6281	214	20	)	)	PUNCT
ejpam-6281	214	21	d	d	NOUN
ejpam-6281	214	22	(	(	PUNCT
ejpam-6281	214	23	0	0	NUM
ejpam-6281	214	24	)	)	PUNCT
ejpam-6281	214	25	=	=	SYM
ejpam-6281	215	1	0	0	NUM
ejpam-6281	215	2	,	,	PUNCT
ejpam-6281	215	3	are	be	AUX
ejpam-6281	215	4	considered	consider	VERB
ejpam-6281	215	5	and	and	CCONJ
ejpam-6281	215	6	v	v	NOUN
ejpam-6281	215	7	(	(	PUNCT
ejpam-6281	215	8	n	n	CCONJ
ejpam-6281	215	9	)	)	PUNCT
ejpam-6281	215	10	d	d	NOUN
ejpam-6281	215	11	(	(	PUNCT
ejpam-6281	215	12	t	t	PROPN
ejpam-6281	215	13	)	)	PUNCT
ejpam-6281	215	14	represent	represent	VERB
ejpam-6281	215	15	known	know	VERB
ejpam-6281	215	16	functions	function	NOUN
ejpam-6281	215	17	,	,	PUNCT
ejpam-6281	215	18	if	if	SCONJ
ejpam-6281	215	19	d	d	X
ejpam-6281	215	20	(	(	PUNCT
ejpam-6281	215	21	e	e	NOUN
ejpam-6281	215	22	)	)	PUNCT
ejpam-6281	215	23	d	d	NOUN
ejpam-6281	215	24	is	be	AUX
ejpam-6281	215	25	estimated	estimate	VERB
ejpam-6281	215	26	for	for	ADP
ejpam-6281	215	27	e	e	X
ejpam-6281	215	28	<	<	X
ejpam-6281	215	29	n.	n.	PROPN
ejpam-6281	215	30	at	at	ADP
ejpam-6281	215	31	n	n	PROPN
ejpam-6281	215	32	=	=	SYM
ejpam-6281	215	33	1	1	NUM
ejpam-6281	215	34	:	:	PUNCT
ejpam-6281	215	35	introducing	introduce	VERB
ejpam-6281	215	36	vd	vd	NOUN
ejpam-6281	215	37	from	from	ADP
ejpam-6281	215	38	(	(	PUNCT
ejpam-6281	215	39	12	12	NUM
ejpam-6281	215	40	)	)	PUNCT
ejpam-6281	215	41	into	into	ADP
ejpam-6281	215	42	(	(	PUNCT
ejpam-6281	215	43	20	20	NUM
ejpam-6281	215	44	)	)	PUNCT
ejpam-6281	215	45	,	,	PUNCT
ejpam-6281	215	46	matching	match	VERB
ejpam-6281	215	47	the	the	DET
ejpam-6281	215	48	coefficients	coefficient	NOUN
ejpam-6281	215	49	of	of	ADP
ejpam-6281	215	50	similar	similar	ADJ
ejpam-6281	215	51	powers	power	NOUN
ejpam-6281	215	52	of	of	ADP
ejpam-6281	215	53	ε−1	ε−1	PROPN
ejpam-6281	215	54	on	on	ADP
ejpam-6281	215	55	both	both	DET
ejpam-6281	215	56	sides	side	NOUN
ejpam-6281	215	57	,	,	PUNCT
ejpam-6281	215	58	and	and	CCONJ
ejpam-6281	215	59	differentiating	differentiate	VERB
ejpam-6281	215	60	the	the	DET
ejpam-6281	215	61	resulting	result	VERB
ejpam-6281	215	62	equations	equation	NOUN
ejpam-6281	215	63	regarding	regard	VERB
ejpam-6281	215	64	t	t	PROPN
ejpam-6281	215	65	,	,	PUNCT
ejpam-6281	215	66	we	we	PRON
ejpam-6281	215	67	obtain	obtain	VERB
ejpam-6281	215	68	the	the	DET
ejpam-6281	215	69	following	follow	VERB
ejpam-6281	215	70	equations	equation	NOUN
ejpam-6281	215	71	that	that	PRON
ejpam-6281	215	72	determine	determine	VERB
ejpam-6281	215	73	d	d	PROPN
ejpam-6281	215	74	(	(	PUNCT
ejpam-6281	215	75	1	1	NUM
ejpam-6281	215	76	)	)	PUNCT
ejpam-6281	215	77	d	d	NOUN
ejpam-6281	215	78	(	(	PUNCT
ejpam-6281	215	79	t	t	PROPN
ejpam-6281	215	80	)	)	PUNCT
ejpam-6281	216	1	d2d	d2d	X
ejpam-6281	216	2	(	(	PUNCT
ejpam-6281	216	3	1	1	NUM
ejpam-6281	216	4	)	)	PUNCT
ejpam-6281	216	5	1	1	NUM
ejpam-6281	216	6	dt	dt	NOUN
ejpam-6281	216	7	2	2	NUM
ejpam-6281	216	8	+	+	NUM
ejpam-6281	216	9	ρ21d	ρ21d	PRON
ejpam-6281	216	10	(	(	PUNCT
ejpam-6281	216	11	1	1	NUM
ejpam-6281	216	12	)	)	PUNCT
ejpam-6281	216	13	1	1	NUM
ejpam-6281	216	14	(	(	PUNCT
ejpam-6281	216	15	t	t	NOUN
ejpam-6281	216	16	)	)	PUNCT
ejpam-6281	216	17	=	=	SYM
ejpam-6281	216	18	θ11(t	θ11(t	VERB
ejpam-6281	216	19	)	)	PUNCT
ejpam-6281	216	20	,	,	PUNCT
ejpam-6281	216	21	d2d	d2d	X
ejpam-6281	216	22	(	(	PUNCT
ejpam-6281	216	23	1	1	NUM
ejpam-6281	216	24	)	)	SYM
ejpam-6281	216	25	2	2	NUM
ejpam-6281	216	26	dt	dt	NOUN
ejpam-6281	216	27	2	2	NUM
ejpam-6281	216	28	+	+	NUM
ejpam-6281	216	29	ρ21d	ρ21d	PRON
ejpam-6281	216	30	(	(	PUNCT
ejpam-6281	216	31	1	1	NUM
ejpam-6281	216	32	)	)	SYM
ejpam-6281	216	33	2	2	NUM
ejpam-6281	216	34	(	(	PUNCT
ejpam-6281	216	35	t	t	NOUN
ejpam-6281	216	36	)	)	PUNCT
ejpam-6281	216	37	=	=	PUNCT
ejpam-6281	216	38	θ21(t	θ21(t	ADJ
ejpam-6281	216	39	)	)	PUNCT
ejpam-6281	216	40	,	,	PUNCT
ejpam-6281	216	41	d2d	d2d	X
ejpam-6281	216	42	(	(	PUNCT
ejpam-6281	216	43	1	1	NUM
ejpam-6281	216	44	)	)	PUNCT
ejpam-6281	216	45	3	3	NUM
ejpam-6281	216	46	dt	dt	NOUN
ejpam-6281	216	47	2	2	NUM
ejpam-6281	216	48	+	+	NUM
ejpam-6281	216	49	ρ22d	ρ22d	NOUN
ejpam-6281	216	50	(	(	PUNCT
ejpam-6281	216	51	1	1	NUM
ejpam-6281	216	52	)	)	PUNCT
ejpam-6281	216	53	3	3	NUM
ejpam-6281	216	54	(	(	PUNCT
ejpam-6281	216	55	t	t	PROPN
ejpam-6281	216	56	)	)	PUNCT
ejpam-6281	216	57	=	=	SYM
ejpam-6281	216	58	θ31(t	θ31(t	ADV
ejpam-6281	216	59	)	)	PUNCT
ejpam-6281	216	60	,	,	PUNCT
ejpam-6281	216	61	d2d	d2d	X
ejpam-6281	216	62	(	(	PUNCT
ejpam-6281	216	63	1	1	NUM
ejpam-6281	216	64	)	)	PUNCT
ejpam-6281	216	65	4	4	NUM
ejpam-6281	216	66	dt	dt	NOUN
ejpam-6281	216	67	2	2	NUM
ejpam-6281	216	68	+	+	NUM
ejpam-6281	216	69	ρ22d	ρ22d	NOUN
ejpam-6281	216	70	(	(	PUNCT
ejpam-6281	216	71	1	1	NUM
ejpam-6281	216	72	)	)	PUNCT
ejpam-6281	216	73	4	4	NUM
ejpam-6281	216	74	(	(	PUNCT
ejpam-6281	216	75	t	t	NOUN
ejpam-6281	216	76	)	)	PUNCT
ejpam-6281	216	77	=	=	SYM
ejpam-6281	216	78	θ41(t	θ41(t	ADJ
ejpam-6281	216	79	)	)	PUNCT
ejpam-6281	216	80	,	,	PUNCT
ejpam-6281	216	81	(	(	PUNCT
ejpam-6281	216	82	21	21	NUM
ejpam-6281	216	83	)	)	PUNCT
ejpam-6281	216	84	where	where	SCONJ
ejpam-6281	216	85	,	,	PUNCT
ejpam-6281	216	86	θ11(t	θ11(t	ADJ
ejpam-6281	216	87	)	)	PUNCT
ejpam-6281	216	88	=	=	SYM
ejpam-6281	217	1	−2ρ1(ρ1µ0	−2ρ1(ρ1µ0	NOUN
ejpam-6281	217	2	+	+	CCONJ
ejpam-6281	217	3	λ	λ	X
ejpam-6281	217	4	(	(	PUNCT
ejpam-6281	217	5	0	0	NUM
ejpam-6281	217	6	)	)	PUNCT
ejpam-6281	217	7	1	1	NUM
ejpam-6281	217	8	)	)	PUNCT
ejpam-6281	217	9	p	p	NOUN
ejpam-6281	217	10	(	(	PUNCT
ejpam-6281	217	11	0	0	NUM
ejpam-6281	217	12	)	)	PUNCT
ejpam-6281	217	13	2	2	NUM
ejpam-6281	217	14	−	−	NOUN
ejpam-6281	217	15	(	(	PUNCT
ejpam-6281	217	16	ρ1	ρ1	NOUN
ejpam-6281	217	17	+	+	CCONJ
ejpam-6281	217	18	ρ2)λ	ρ2)λ	NOUN
ejpam-6281	217	19	(	(	PUNCT
ejpam-6281	217	20	0	0	NUM
ejpam-6281	217	21	)	)	PUNCT
ejpam-6281	217	22	2	2	NUM
ejpam-6281	217	23	α	α	NOUN
ejpam-6281	217	24	(	(	PUNCT
ejpam-6281	217	25	0	0	NUM
ejpam-6281	217	26	)	)	PUNCT
ejpam-6281	217	27	2	2	NUM
ejpam-6281	218	1	+	+	CCONJ
ejpam-6281	218	2	dλ	dλ	PROPN
ejpam-6281	218	3	(	(	PUNCT
ejpam-6281	218	4	0	0	NUM
ejpam-6281	218	5	)	)	PUNCT
ejpam-6281	218	6	1	1	NUM
ejpam-6281	218	7	dt	dt	NOUN
ejpam-6281	218	8	q	q	PROPN
ejpam-6281	219	1	(	(	PUNCT
ejpam-6281	219	2	0	0	NUM
ejpam-6281	219	3	)	)	PUNCT
ejpam-6281	219	4	2	2	NUM
ejpam-6281	220	1	+	+	CCONJ
ejpam-6281	220	2	dλ	dλ	PROPN
ejpam-6281	220	3	(	(	PUNCT
ejpam-6281	220	4	0	0	NUM
ejpam-6281	220	5	)	)	PUNCT
ejpam-6281	220	6	2	2	NUM
ejpam-6281	220	7	dt	dt	NOUN
ejpam-6281	220	8	β	β	X
ejpam-6281	220	9	(	(	PUNCT
ejpam-6281	220	10	0	0	NUM
ejpam-6281	220	11	)	)	PUNCT
ejpam-6281	220	12	2	2	NUM
ejpam-6281	221	1	+	+	NOUN
ejpam-6281	221	2	ρ1λ	ρ1λ	NOUN
ejpam-6281	221	3	(	(	PUNCT
ejpam-6281	221	4	0	0	NUM
ejpam-6281	221	5	)	)	PUNCT
ejpam-6281	221	6	4	4	NUM
ejpam-6281	221	7	+	+	CCONJ
ejpam-6281	221	8	dλ	dλ	PROPN
ejpam-6281	221	9	(	(	PUNCT
ejpam-6281	221	10	0	0	NUM
ejpam-6281	221	11	)	)	PUNCT
ejpam-6281	221	12	3	3	NUM
ejpam-6281	221	13	dt	dt	NOUN
ejpam-6281	221	14	,	,	PUNCT
ejpam-6281	221	15	θ21(t	θ21(t	ADJ
ejpam-6281	221	16	)	)	PUNCT
ejpam-6281	222	1	=	=	PUNCT
ejpam-6281	222	2	−2ρ1(ρ1µ0	−2ρ1(ρ1µ0	NOUN
ejpam-6281	222	3	+	+	CCONJ
ejpam-6281	222	4	λ	λ	X
ejpam-6281	222	5	(	(	PUNCT
ejpam-6281	222	6	0	0	NUM
ejpam-6281	222	7	)	)	PUNCT
ejpam-6281	222	8	1	1	NUM
ejpam-6281	222	9	)	)	PUNCT
ejpam-6281	222	10	q	q	NOUN
ejpam-6281	222	11	(	(	PUNCT
ejpam-6281	222	12	0	0	NUM
ejpam-6281	222	13	)	)	PUNCT
ejpam-6281	222	14	2	2	NUM
ejpam-6281	222	15	−	−	NOUN
ejpam-6281	222	16	(	(	PUNCT
ejpam-6281	222	17	ρ1	ρ1	NOUN
ejpam-6281	222	18	+	+	CCONJ
ejpam-6281	222	19	ρ2)λ	ρ2)λ	NOUN
ejpam-6281	222	20	(	(	PUNCT
ejpam-6281	222	21	0	0	NUM
ejpam-6281	222	22	)	)	PUNCT
ejpam-6281	222	23	2	2	NUM
ejpam-6281	222	24	β	β	X
ejpam-6281	222	25	(	(	PUNCT
ejpam-6281	222	26	0	0	NUM
ejpam-6281	222	27	)	)	PUNCT
ejpam-6281	222	28	2	2	NUM
ejpam-6281	222	29	−	−	NOUN
ejpam-6281	222	30	dλ	dλ	NOUN
ejpam-6281	222	31	(	(	PUNCT
ejpam-6281	222	32	0	0	NUM
ejpam-6281	222	33	)	)	PUNCT
ejpam-6281	222	34	1	1	NUM
ejpam-6281	223	1	dt	dt	NOUN
ejpam-6281	223	2	p	p	X
ejpam-6281	223	3	(	(	PUNCT
ejpam-6281	223	4	0	0	NUM
ejpam-6281	223	5	)	)	PUNCT
ejpam-6281	223	6	2	2	NUM
ejpam-6281	223	7	−dλ	−dλ	NOUN
ejpam-6281	223	8	(	(	PUNCT
ejpam-6281	223	9	0	0	NUM
ejpam-6281	223	10	)	)	PUNCT
ejpam-6281	223	11	2	2	NUM
ejpam-6281	223	12	dt	dt	NOUN
ejpam-6281	223	13	α	α	PROPN
ejpam-6281	223	14	(	(	PUNCT
ejpam-6281	223	15	0	0	NUM
ejpam-6281	223	16	)	)	PUNCT
ejpam-6281	223	17	2	2	NUM
ejpam-6281	224	1	+	+	CCONJ
ejpam-6281	224	2	dλ	dλ	PROPN
ejpam-6281	224	3	(	(	PUNCT
ejpam-6281	224	4	0	0	NUM
ejpam-6281	224	5	)	)	PUNCT
ejpam-6281	224	6	4	4	NUM
ejpam-6281	224	7	dt	dt	NOUN
ejpam-6281	224	8	−	−	PROPN
ejpam-6281	224	9	2ρ1λ́2r10(1	2ρ1λ́2r10(1	PROPN
ejpam-6281	224	10	+	+	CCONJ
ejpam-6281	224	11	χδ)µ0	χδ)µ0	ADJ
ejpam-6281	224	12	−	−	PROPN
ejpam-6281	224	13	λ́2r10(1	λ́2r10(1	PROPN
ejpam-6281	224	14	+	+	CCONJ
ejpam-6281	224	15	χδ)λ	χδ)λ	PROPN
ejpam-6281	224	16	(	(	PUNCT
ejpam-6281	224	17	0	0	NUM
ejpam-6281	224	18	)	)	PUNCT
ejpam-6281	224	19	1	1	NUM
ejpam-6281	224	20	−δλ́2r10λ(0	−δλ́2r10λ(0	NOUN
ejpam-6281	224	21	)	)	PUNCT
ejpam-6281	224	22	2	2	NUM
ejpam-6281	224	23	−	−	NOUN
ejpam-6281	224	24	ρ1λ	ρ1λ	NOUN
ejpam-6281	224	25	(	(	PUNCT
ejpam-6281	224	26	0	0	NUM
ejpam-6281	224	27	)	)	PUNCT
ejpam-6281	224	28	3	3	NUM
ejpam-6281	224	29	,	,	PUNCT
ejpam-6281	224	30	θ31(t	θ31(t	ADV
ejpam-6281	224	31	)	)	PUNCT
ejpam-6281	224	32	=	=	SYM
ejpam-6281	224	33	−2ρ2(ρ2µ0	−2ρ2(ρ2µ0	PROPN
ejpam-6281	224	34	+	+	X
ejpam-6281	224	35	λ	λ	X
ejpam-6281	224	36	(	(	PUNCT
ejpam-6281	224	37	0	0	NUM
ejpam-6281	224	38	)	)	PUNCT
ejpam-6281	224	39	6	6	NUM
ejpam-6281	224	40	)	)	PUNCT
ejpam-6281	224	41	α	α	PROPN
ejpam-6281	224	42	(	(	PUNCT
ejpam-6281	224	43	0	0	NUM
ejpam-6281	224	44	)	)	PUNCT
ejpam-6281	224	45	2	2	NUM
ejpam-6281	224	46	−	−	NOUN
ejpam-6281	224	47	(	(	PUNCT
ejpam-6281	224	48	ρ1	ρ1	NOUN
ejpam-6281	224	49	+	+	CCONJ
ejpam-6281	224	50	ρ2)λ	ρ2)λ	NOUN
ejpam-6281	224	51	(	(	PUNCT
ejpam-6281	224	52	0	0	NUM
ejpam-6281	224	53	)	)	PUNCT
ejpam-6281	224	54	5	5	NUM
ejpam-6281	224	55	p	p	NOUN
ejpam-6281	224	56	(	(	PUNCT
ejpam-6281	224	57	0	0	NUM
ejpam-6281	224	58	)	)	PUNCT
ejpam-6281	224	59	2	2	NUM
ejpam-6281	224	60	+	+	CCONJ
ejpam-6281	224	61	dλ	dλ	PROPN
ejpam-6281	224	62	(	(	PUNCT
ejpam-6281	224	63	0	0	NUM
ejpam-6281	224	64	)	)	PUNCT
ejpam-6281	224	65	5	5	NUM
ejpam-6281	224	66	dt	dt	NOUN
ejpam-6281	224	67	q	q	PROPN
ejpam-6281	225	1	(	(	PUNCT
ejpam-6281	225	2	0	0	NUM
ejpam-6281	225	3	)	)	PUNCT
ejpam-6281	225	4	2	2	NUM
ejpam-6281	226	1	+	+	CCONJ
ejpam-6281	226	2	dλ	dλ	PROPN
ejpam-6281	226	3	(	(	PUNCT
ejpam-6281	226	4	0	0	NUM
ejpam-6281	226	5	)	)	PUNCT
ejpam-6281	226	6	6	6	NUM
ejpam-6281	226	7	dt	dt	NOUN
ejpam-6281	226	8	β	β	X
ejpam-6281	226	9	(	(	PUNCT
ejpam-6281	226	10	0	0	NUM
ejpam-6281	226	11	)	)	PUNCT
ejpam-6281	226	12	2	2	NUM
ejpam-6281	226	13	+	+	CCONJ
ejpam-6281	226	14	ρ2λ	ρ2λ	NUM
ejpam-6281	226	15	(	(	PUNCT
ejpam-6281	226	16	0	0	NUM
ejpam-6281	226	17	)	)	PUNCT
ejpam-6281	226	18	8	8	NUM
ejpam-6281	227	1	+	+	NUM
ejpam-6281	227	2	dλ	dλ	PROPN
ejpam-6281	227	3	(	(	PUNCT
ejpam-6281	227	4	0	0	NUM
ejpam-6281	227	5	)	)	PUNCT
ejpam-6281	227	6	7	7	NUM
ejpam-6281	227	7	dt	dt	NOUN
ejpam-6281	227	8	,	,	PUNCT
ejpam-6281	227	9	θ41(t	θ41(t	X
ejpam-6281	227	10	)	)	PUNCT
ejpam-6281	228	1	=	=	SYM
ejpam-6281	228	2	−2ρ2(ρ2µ0	−2ρ2(ρ2µ0	PROPN
ejpam-6281	228	3	+	+	X
ejpam-6281	228	4	λ	λ	X
ejpam-6281	228	5	(	(	PUNCT
ejpam-6281	228	6	0	0	NUM
ejpam-6281	228	7	)	)	PUNCT
ejpam-6281	228	8	6	6	NUM
ejpam-6281	228	9	)	)	PUNCT
ejpam-6281	228	10	β	β	X
ejpam-6281	228	11	(	(	PUNCT
ejpam-6281	228	12	0	0	NUM
ejpam-6281	228	13	)	)	PUNCT
ejpam-6281	228	14	2	2	NUM
ejpam-6281	228	15	−	−	NOUN
ejpam-6281	228	16	(	(	PUNCT
ejpam-6281	228	17	ρ1	ρ1	NOUN
ejpam-6281	228	18	+	+	CCONJ
ejpam-6281	228	19	ρ2)q	ρ2)q	ADV
ejpam-6281	228	20	(	(	PUNCT
ejpam-6281	228	21	0	0	NUM
ejpam-6281	228	22	)	)	PUNCT
ejpam-6281	228	23	2	2	NUM
ejpam-6281	228	24	−	−	PROPN
ejpam-6281	228	25	2ρ2δλ́2r10µ0	2ρ2δλ́2r10µ0	NUM
ejpam-6281	228	26	−	−	NOUN
ejpam-6281	228	27	δλ́2r10λ	δλ́2r10λ	ADP
ejpam-6281	228	28	(	(	PUNCT
ejpam-6281	228	29	0	0	NUM
ejpam-6281	228	30	)	)	PUNCT
ejpam-6281	228	31	6	6	NUM
ejpam-6281	228	32	−λ́2r10(1	−λ́2r10(1	NOUN
ejpam-6281	228	33	+	+	CCONJ
ejpam-6281	228	34	χδ)λ	χδ)λ	PROPN
ejpam-6281	228	35	(	(	PUNCT
ejpam-6281	228	36	0	0	NUM
ejpam-6281	228	37	)	)	PUNCT
ejpam-6281	228	38	5	5	NUM
ejpam-6281	228	39	−	−	NOUN
ejpam-6281	228	40	ρ2λ	ρ2λ	NUM
ejpam-6281	228	41	(	(	PUNCT
ejpam-6281	228	42	0	0	NUM
ejpam-6281	228	43	)	)	PUNCT
ejpam-6281	228	44	7	7	NUM
ejpam-6281	228	45	−	−	NOUN
ejpam-6281	228	46	dλ	dλ	NOUN
ejpam-6281	228	47	(	(	PUNCT
ejpam-6281	228	48	0	0	NUM
ejpam-6281	228	49	)	)	PUNCT
ejpam-6281	228	50	5	5	NUM
ejpam-6281	229	1	dt	dt	NOUN
ejpam-6281	229	2	p	p	X
ejpam-6281	229	3	(	(	PUNCT
ejpam-6281	229	4	0	0	NUM
ejpam-6281	229	5	)	)	SYM
ejpam-6281	229	6	2	2	NUM
ejpam-6281	229	7	−	−	NOUN
ejpam-6281	229	8	dλ	dλ	NOUN
ejpam-6281	229	9	(	(	PUNCT
ejpam-6281	229	10	0	0	NUM
ejpam-6281	229	11	)	)	PUNCT
ejpam-6281	229	12	6	6	NUM
ejpam-6281	229	13	dt	dt	NOUN
ejpam-6281	229	14	α	α	X
ejpam-6281	229	15	(	(	PUNCT
ejpam-6281	229	16	0	0	NUM
ejpam-6281	229	17	)	)	PUNCT
ejpam-6281	229	18	2	2	NUM
ejpam-6281	229	19	+	+	CCONJ
ejpam-6281	229	20	dλ	dλ	PROPN
ejpam-6281	229	21	(	(	PUNCT
ejpam-6281	229	22	0	0	NUM
ejpam-6281	229	23	)	)	PUNCT
ejpam-6281	229	24	8	8	NUM
ejpam-6281	229	25	dt	dt	NOUN
ejpam-6281	229	26	.	.	PUNCT
ejpam-6281	230	1	knowing	know	VERB
ejpam-6281	230	2	that	that	SCONJ
ejpam-6281	230	3	θd1(u	θd1(u	PROPN
ejpam-6281	230	4	)	)	PUNCT
ejpam-6281	230	5	,	,	PUNCT
ejpam-6281	230	6	the	the	DET
ejpam-6281	230	7	solutions	solution	NOUN
ejpam-6281	230	8	of	of	ADP
ejpam-6281	230	9	the	the	DET
ejpam-6281	230	10	previous	previous	ADJ
ejpam-6281	230	11	system(21	system(21	NOUN
ejpam-6281	230	12	)	)	PUNCT
ejpam-6281	230	13	take	take	VERB
ejpam-6281	230	14	the	the	DET
ejpam-6281	230	15	form	form	NOUN
ejpam-6281	230	16	d	d	X
ejpam-6281	230	17	(	(	PUNCT
ejpam-6281	230	18	1	1	NUM
ejpam-6281	230	19	)	)	PUNCT
ejpam-6281	230	20	1	1	NUM
ejpam-6281	230	21	(	(	PUNCT
ejpam-6281	230	22	t	t	NOUN
ejpam-6281	230	23	)	)	PUNCT
ejpam-6281	231	1	=	=	PUNCT
ejpam-6281	231	2	ρ−1	ρ−1	PROPN
ejpam-6281	231	3	1	1	NUM
ejpam-6281	231	4	∫	∫	NOUN
ejpam-6281	231	5	t	t	PROPN
ejpam-6281	231	6	0	0	NUM
ejpam-6281	231	7	θ11(v	θ11(v	NOUN
ejpam-6281	231	8	)	)	PUNCT
ejpam-6281	231	9	sin	sin	NOUN
ejpam-6281	231	10	ρ1(t	ρ1(t	ADJ
ejpam-6281	231	11	−	−	PROPN
ejpam-6281	231	12	v)dv	v)dv	PROPN
ejpam-6281	231	13	,	,	PUNCT
ejpam-6281	231	14	d	d	X
ejpam-6281	231	15	(	(	PUNCT
ejpam-6281	231	16	1	1	NUM
ejpam-6281	231	17	)	)	SYM
ejpam-6281	231	18	2	2	NUM
ejpam-6281	231	19	(	(	PUNCT
ejpam-6281	231	20	t	t	NOUN
ejpam-6281	231	21	)	)	PUNCT
ejpam-6281	231	22	=	=	PUNCT
ejpam-6281	232	1	ρ−1	ρ−1	PROPN
ejpam-6281	232	2	1	1	NUM
ejpam-6281	232	3	∫	∫	NOUN
ejpam-6281	232	4	t	t	PROPN
ejpam-6281	232	5	0	0	NUM
ejpam-6281	232	6	θ21(v	θ21(v	ADJ
ejpam-6281	232	7	)	)	PUNCT
ejpam-6281	232	8	sin	sin	NOUN
ejpam-6281	232	9	ρ1(t	ρ1(t	ADJ
ejpam-6281	232	10	−	−	PROPN
ejpam-6281	232	11	v)dv	v)dv	PROPN
ejpam-6281	232	12	,	,	PUNCT
ejpam-6281	232	13	d	d	X
ejpam-6281	232	14	(	(	PUNCT
ejpam-6281	232	15	1	1	NUM
ejpam-6281	232	16	)	)	PUNCT
ejpam-6281	232	17	3	3	NUM
ejpam-6281	232	18	(	(	PUNCT
ejpam-6281	232	19	t	t	PROPN
ejpam-6281	232	20	)	)	PUNCT
ejpam-6281	232	21	=	=	PUNCT
ejpam-6281	233	1	ρ−1	ρ−1	PROPN
ejpam-6281	233	2	2	2	NUM
ejpam-6281	233	3	∫	∫	NOUN
ejpam-6281	233	4	t	t	PROPN
ejpam-6281	233	5	0	0	NUM
ejpam-6281	233	6	θ31(v	θ31(v	NOUN
ejpam-6281	233	7	)	)	PUNCT
ejpam-6281	233	8	sin	sin	VERB
ejpam-6281	233	9	ρ2(t	ρ2(t	PRON
ejpam-6281	233	10	−	−	NOUN
ejpam-6281	233	11	v)dv	v)dv	PROPN
ejpam-6281	233	12	,	,	PUNCT
ejpam-6281	233	13	d	d	X
ejpam-6281	233	14	(	(	PUNCT
ejpam-6281	233	15	1	1	NUM
ejpam-6281	233	16	)	)	PUNCT
ejpam-6281	233	17	4	4	NUM
ejpam-6281	233	18	(	(	PUNCT
ejpam-6281	233	19	t	t	NOUN
ejpam-6281	233	20	)	)	PUNCT
ejpam-6281	234	1	=	=	PUNCT
ejpam-6281	234	2	ρ−1	ρ−1	PROPN
ejpam-6281	234	3	2	2	NUM
ejpam-6281	234	4	∫	∫	NOUN
ejpam-6281	234	5	t	t	PROPN
ejpam-6281	234	6	0	0	NUM
ejpam-6281	234	7	θ41(v	θ41(v	NOUN
ejpam-6281	234	8	)	)	PUNCT
ejpam-6281	234	9	sin	sin	VERB
ejpam-6281	234	10	ρ2(t	ρ2(t	PRON
ejpam-6281	234	11	−	−	PROPN
ejpam-6281	234	12	v)dv	v)dv	PROPN
ejpam-6281	234	13	,	,	PUNCT
ejpam-6281	234	14	(	(	PUNCT
ejpam-6281	234	15	22	22	NUM
ejpam-6281	234	16	)	)	PUNCT
ejpam-6281	234	17	t.	t.	PROPN
ejpam-6281	234	18	s.	s.	PROPN
ejpam-6281	234	19	amer	amer	PROPN
ejpam-6281	234	20	et	et	PROPN
ejpam-6281	234	21	al	al	PROPN
ejpam-6281	234	22	.	.	PUNCT
ejpam-6281	234	23	/	/	SYM
ejpam-6281	234	24	eur	eur	PROPN
ejpam-6281	234	25	.	.	PUNCT
ejpam-6281	235	1	j.	j.	PROPN
ejpam-6281	235	2	pure	pure	PROPN
ejpam-6281	235	3	appl	appl	PROPN
ejpam-6281	235	4	.	.	PROPN
ejpam-6281	235	5	math	math	PROPN
ejpam-6281	235	6	,	,	PUNCT
ejpam-6281	235	7	18	18	NUM
ejpam-6281	235	8	(	(	PUNCT
ejpam-6281	235	9	3	3	NUM
ejpam-6281	235	10	)	)	PUNCT
ejpam-6281	235	11	(	(	PUNCT
ejpam-6281	235	12	2025	2025	NUM
ejpam-6281	235	13	)	)	PUNCT
ejpam-6281	235	14	,	,	PUNCT
ejpam-6281	235	15	6281	6281	NUM
ejpam-6281	235	16	11	11	NUM
ejpam-6281	235	17	of	of	ADP
ejpam-6281	235	18	35	35	NUM
ejpam-6281	235	19	where	where	SCONJ
ejpam-6281	235	20	,	,	PUNCT
ejpam-6281	235	21	ρ−1	ρ−1	PROPN
ejpam-6281	235	22	1	1	NUM
ejpam-6281	235	23	θ11(t	θ11(t	VERB
ejpam-6281	235	24	)	)	PUNCT
ejpam-6281	235	25	=	=	SYM
ejpam-6281	235	26	g10	g10	PROPN
ejpam-6281	235	27	+	+	PROPN
ejpam-6281	235	28	g11	g11	PROPN
ejpam-6281	235	29	(	(	PUNCT
ejpam-6281	235	30	a1	a1	PROPN
ejpam-6281	235	31	cos	cos	PROPN
ejpam-6281	235	32	ρ1	ρ1	PROPN
ejpam-6281	235	33	t	t	PROPN
ejpam-6281	235	34	+	+	PROPN
ejpam-6281	235	35	a2	a2	PROPN
ejpam-6281	235	36	sin	sin	NOUN
ejpam-6281	235	37	ρ1	ρ1	PROPN
ejpam-6281	235	38	t	t	PROPN
ejpam-6281	235	39	)	)	PUNCT
ejpam-6281	236	1	+	+	SYM
ejpam-6281	236	2	g12	g12	NOUN
ejpam-6281	236	3	(	(	PUNCT
ejpam-6281	236	4	a1	a1	PROPN
ejpam-6281	236	5	cos	cos	PROPN
ejpam-6281	236	6	ρ1	ρ1	PROPN
ejpam-6281	236	7	t	t	PROPN
ejpam-6281	236	8	−a2	−a2	PROPN
ejpam-6281	236	9	sin	sin	PROPN
ejpam-6281	236	10	ρ1	ρ1	PROPN
ejpam-6281	236	11	t	t	PROPN
ejpam-6281	236	12	)	)	PUNCT
ejpam-6281	237	1	+	+	ADJ
ejpam-6281	237	2	g13	g13	NOUN
ejpam-6281	237	3	cos	cos	PROPN
ejpam-6281	237	4	2ρ1	2ρ1	PROPN
ejpam-6281	237	5	t	t	PROPN
ejpam-6281	237	6	+	+	SYM
ejpam-6281	237	7	g14	g14	ADJ
ejpam-6281	237	8	sin	sin	NOUN
ejpam-6281	237	9	2ρ1	2ρ1	NUM
ejpam-6281	237	10	t	t	PROPN
ejpam-6281	237	11	+	+	ADP
ejpam-6281	237	12	g15a3	g15a3	PROPN
ejpam-6281	237	13	cos	cos	PROPN
ejpam-6281	237	14	ρ2	ρ2	PROPN
ejpam-6281	237	15	t	t	PROPN
ejpam-6281	237	16	+	+	NOUN
ejpam-6281	237	17	g16a3	g16a3	PRON
ejpam-6281	238	1	[	[	X
ejpam-6281	238	2	a1	a1	VERB
ejpam-6281	238	3	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	238	4	−	−	PROPN
ejpam-6281	239	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	240	1	+	+	PROPN
ejpam-6281	240	2	a2	a2	PROPN
ejpam-6281	240	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	240	4	−	−	PROPN
ejpam-6281	241	1	ρ2)t	ρ2)t	X
ejpam-6281	241	2	]	]	PUNCT
ejpam-6281	242	1	+	+	PUNCT
ejpam-6281	242	2	g17a3	g17a3	NOUN
ejpam-6281	242	3	[	[	X
ejpam-6281	242	4	a1	a1	NOUN
ejpam-6281	242	5	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	242	6	−	−	PROPN
ejpam-6281	242	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	242	8	−a2	−a2	PROPN
ejpam-6281	242	9	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	243	1	−	−	PROPN
ejpam-6281	244	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	244	2	]	]	PUNCT
ejpam-6281	245	1	+	+	PUNCT
ejpam-6281	245	2	g18a3	g18a3	X
ejpam-6281	245	3	[	[	X
ejpam-6281	245	4	a1	a1	NOUN
ejpam-6281	245	5	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	245	6	+	+	CCONJ
ejpam-6281	245	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	245	8	+	+	PROPN
ejpam-6281	245	9	a2	a2	NOUN
ejpam-6281	245	10	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	245	11	+	+	CCONJ
ejpam-6281	245	12	ρ2)t	ρ2)t	PROPN
ejpam-6281	245	13	]	]	PUNCT
ejpam-6281	245	14	−g19a3	−g19a3	X
ejpam-6281	246	1	[	[	X
ejpam-6281	246	2	a1	a1	NOUN
ejpam-6281	246	3	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	246	4	+	+	CCONJ
ejpam-6281	246	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	246	6	−a2	−a2	PROPN
ejpam-6281	246	7	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	246	8	+	+	CCONJ
ejpam-6281	246	9	ρ2)t	ρ2)t	X
ejpam-6281	246	10	]	]	PUNCT
ejpam-6281	247	1	+	+	PROPN
ejpam-6281	247	2	g110	g110	PROPN
ejpam-6281	247	3	cos(2ρ1	cos(2ρ1	PROPN
ejpam-6281	247	4	−	−	PROPN
ejpam-6281	247	5	ρ2)t	ρ2)t	NOUN
ejpam-6281	247	6	+	+	SYM
ejpam-6281	247	7	g111	g111	PROPN
ejpam-6281	247	8	sin(2ρ1	sin(2ρ1	NOUN
ejpam-6281	247	9	−	−	NOUN
ejpam-6281	247	10	ρ2)t	ρ2)t	NOUN
ejpam-6281	248	1	+	+	SYM
ejpam-6281	248	2	g112a	g112a	PROPN
ejpam-6281	248	3	2	2	NUM
ejpam-6281	248	4	3	3	NUM
ejpam-6281	249	1	[	[	X
ejpam-6281	249	2	a1	a1	NOUN
ejpam-6281	249	3	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	249	4	−	−	PROPN
ejpam-6281	249	5	2ρ2)t	2ρ2)t	PROPN
ejpam-6281	249	6	+	+	PROPN
ejpam-6281	249	7	a2	a2	PROPN
ejpam-6281	249	8	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	249	9	−	−	PROPN
ejpam-6281	250	1	2ρ2)t	2ρ2)t	NUM
ejpam-6281	250	2	]	]	PUNCT
ejpam-6281	251	1	+	+	PUNCT
ejpam-6281	251	2	g113a	g113a	NOUN
ejpam-6281	251	3	2	2	NUM
ejpam-6281	251	4	3	3	NUM
ejpam-6281	251	5	[	[	X
ejpam-6281	251	6	a1	a1	NOUN
ejpam-6281	251	7	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	251	8	−	−	PROPN
ejpam-6281	251	9	2ρ2)t	2ρ2)t	PROPN
ejpam-6281	251	10	−a2	−a2	PROPN
ejpam-6281	251	11	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	251	12	−	−	PROPN
ejpam-6281	252	1	2ρ2)t	2ρ2)t	NUM
ejpam-6281	252	2	]	]	PUNCT
ejpam-6281	253	1	+	+	PUNCT
ejpam-6281	253	2	g114	g114	X
ejpam-6281	253	3	cos	cos	PROPN
ejpam-6281	253	4	2ρ2	2ρ2	NUM
ejpam-6281	253	5	t	t	NOUN
ejpam-6281	253	6	+	+	NOUN
ejpam-6281	253	7	g115	g115	PROPN
ejpam-6281	253	8	sin	sin	NOUN
ejpam-6281	253	9	2ρ2	2ρ2	NUM
ejpam-6281	253	10	t	t	NOUN
ejpam-6281	253	11	+	+	PROPN
ejpam-6281	253	12	g116a3	g116a3	PROPN
ejpam-6281	253	13	[	[	X
ejpam-6281	253	14	a1	a1	NOUN
ejpam-6281	253	15	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	253	16	−	−	PROPN
ejpam-6281	253	17	ρ2)t	ρ2)t	PROPN
ejpam-6281	253	18	−a2	−a2	NOUN
ejpam-6281	253	19	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	254	1	−	−	PROPN
ejpam-6281	255	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	255	2	]	]	PUNCT
ejpam-6281	256	1	+	+	X
ejpam-6281	256	2	g117a3	g117a3	X
ejpam-6281	256	3	[	[	X
ejpam-6281	256	4	a1	a1	NOUN
ejpam-6281	256	5	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	256	6	−	−	PROPN
ejpam-6281	257	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	258	1	+	+	PROPN
ejpam-6281	258	2	a2	a2	PROPN
ejpam-6281	258	3	cos(ρ1	cos(ρ1	ADJ
ejpam-6281	258	4	−	−	PROPN
ejpam-6281	259	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	259	2	]	]	PUNCT
ejpam-6281	260	1	+	+	PUNCT
ejpam-6281	260	2	g118a3	g118a3	X
ejpam-6281	260	3	[	[	X
ejpam-6281	260	4	a1	a1	NOUN
ejpam-6281	260	5	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	260	6	+	+	CCONJ
ejpam-6281	260	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	260	8	+	+	PROPN
ejpam-6281	260	9	a2	a2	NOUN
ejpam-6281	260	10	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	260	11	+	+	CCONJ
ejpam-6281	260	12	ρ2)t	ρ2)t	X
ejpam-6281	260	13	]	]	PUNCT
ejpam-6281	260	14	+	+	X
ejpam-6281	260	15	g119a3	g119a3	ADJ
ejpam-6281	260	16	[	[	PUNCT
ejpam-6281	260	17	a1	a1	NOUN
ejpam-6281	260	18	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	260	19	+	+	CCONJ
ejpam-6281	260	20	ρ2)t	ρ2)t	PROPN
ejpam-6281	260	21	−a2	−a2	NOUN
ejpam-6281	260	22	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	260	23	+	+	CCONJ
ejpam-6281	260	24	ρ2)t	ρ2)t	X
ejpam-6281	260	25	]	]	PUNCT
ejpam-6281	261	1	+	+	PUNCT
ejpam-6281	261	2	g120a3a2	g120a3a2	NOUN
ejpam-6281	261	3	[	[	X
ejpam-6281	261	4	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	261	5	+	+	CCONJ
ejpam-6281	261	6	ρ2)t	ρ2)t	PROPN
ejpam-6281	261	7	+	+	CCONJ
ejpam-6281	261	8	cos(ρ1	cos(ρ1	ADJ
ejpam-6281	261	9	−	−	PROPN
ejpam-6281	261	10	ρ2)t	ρ2)t	PROPN
ejpam-6281	261	11	]	]	PUNCT
ejpam-6281	262	1	+	+	PUNCT
ejpam-6281	262	2	g121	g121	PROPN
ejpam-6281	262	3	(	(	PUNCT
ejpam-6281	262	4	a1	a1	NOUN
ejpam-6281	262	5	sin	sin	NOUN
ejpam-6281	262	6	ρ1	ρ1	PROPN
ejpam-6281	262	7	t	t	PROPN
ejpam-6281	262	8	−a2	−a2	PROPN
ejpam-6281	262	9	cos	cos	PROPN
ejpam-6281	262	10	ρ1	ρ1	PROPN
ejpam-6281	262	11	t	t	PROPN
ejpam-6281	262	12	)	)	PUNCT
ejpam-6281	263	1	+	+	ADJ
ejpam-6281	263	2	g122a3	g122a3	ADJ
ejpam-6281	263	3	sin	sin	NOUN
ejpam-6281	263	4	2ρ2	2ρ2	NUM
ejpam-6281	263	5	t	t	NOUN
ejpam-6281	263	6	+	+	PROPN
ejpam-6281	263	7	g123	g123	PROPN
ejpam-6281	263	8	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	263	9	−	−	PROPN
ejpam-6281	264	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	264	2	,	,	PUNCT
ejpam-6281	264	3	ρ−1	ρ−1	PROPN
ejpam-6281	264	4	1	1	NUM
ejpam-6281	264	5	θ21(t	θ21(t	ADJ
ejpam-6281	264	6	)	)	PUNCT
ejpam-6281	265	1	=	=	SYM
ejpam-6281	265	2	g20	g20	NOUN
ejpam-6281	265	3	−g21	−g21	X
ejpam-6281	266	1	(	(	PUNCT
ejpam-6281	266	2	a1	a1	NOUN
ejpam-6281	266	3	sin	sin	NOUN
ejpam-6281	266	4	ρ1	ρ1	PROPN
ejpam-6281	266	5	t	t	PROPN
ejpam-6281	266	6	−a2	−a2	PROPN
ejpam-6281	266	7	cos	cos	PROPN
ejpam-6281	266	8	ρ1	ρ1	PROPN
ejpam-6281	266	9	t	t	PROPN
ejpam-6281	266	10	)	)	PUNCT
ejpam-6281	267	1	+	+	X
ejpam-6281	267	2	g22	g22	NOUN
ejpam-6281	267	3	(	(	PUNCT
ejpam-6281	267	4	a1	a1	NOUN
ejpam-6281	267	5	sin	sin	NOUN
ejpam-6281	267	6	ρ1	ρ1	PROPN
ejpam-6281	267	7	t	t	PROPN
ejpam-6281	267	8	+	+	PROPN
ejpam-6281	267	9	a2	a2	PROPN
ejpam-6281	267	10	cos	cos	PROPN
ejpam-6281	267	11	ρ1	ρ1	PROPN
ejpam-6281	267	12	t	t	PROPN
ejpam-6281	267	13	)	)	PUNCT
ejpam-6281	268	1	+	+	NOUN
ejpam-6281	268	2	g23	g23	NOUN
ejpam-6281	268	3	(	(	PUNCT
ejpam-6281	268	4	a1	a1	PROPN
ejpam-6281	268	5	cos	cos	PROPN
ejpam-6281	268	6	ρ1	ρ1	PROPN
ejpam-6281	268	7	t	t	PROPN
ejpam-6281	268	8	+	+	PROPN
ejpam-6281	268	9	a2	a2	PROPN
ejpam-6281	268	10	sin	sin	NOUN
ejpam-6281	268	11	ρ1	ρ1	PROPN
ejpam-6281	268	12	t	t	PROPN
ejpam-6281	268	13	)	)	PUNCT
ejpam-6281	268	14	−g24a3	−g24a3	X
ejpam-6281	268	15	sin	sin	PROPN
ejpam-6281	268	16	ρ2	ρ2	PROPN
ejpam-6281	268	17	t	t	NOUN
ejpam-6281	268	18	−g25a3	−g25a3	NOUN
ejpam-6281	269	1	[	[	X
ejpam-6281	269	2	a1	a1	NOUN
ejpam-6281	269	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	269	4	−	−	PROPN
ejpam-6281	269	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	269	6	−a2	−a2	NOUN
ejpam-6281	269	7	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	269	8	−	−	PROPN
ejpam-6281	270	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	270	2	]	]	PUNCT
ejpam-6281	271	1	+	+	PUNCT
ejpam-6281	271	2	g26a3	g26a3	X
ejpam-6281	271	3	[	[	X
ejpam-6281	271	4	a1	a1	NOUN
ejpam-6281	271	5	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	271	6	−	−	PROPN
ejpam-6281	272	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	272	2	−a2	−a2	PROPN
ejpam-6281	272	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	273	1	−	−	PROPN
ejpam-6281	274	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	274	2	]	]	PUNCT
ejpam-6281	275	1	+	+	PUNCT
ejpam-6281	275	2	g27a3	g27a3	X
ejpam-6281	275	3	[	[	VERB
ejpam-6281	275	4	a1	a1	NOUN
ejpam-6281	275	5	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	275	6	−	−	PROPN
ejpam-6281	276	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	277	1	+	+	PROPN
ejpam-6281	277	2	a2	a2	PROPN
ejpam-6281	277	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	277	4	−	−	PROPN
ejpam-6281	278	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	278	2	]	]	PUNCT
ejpam-6281	279	1	+	+	PUNCT
ejpam-6281	279	2	g28a3	g28a3	NOUN
ejpam-6281	279	3	[	[	X
ejpam-6281	279	4	a1	a1	NOUN
ejpam-6281	279	5	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	279	6	−	−	PROPN
ejpam-6281	280	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	281	1	+	+	PROPN
ejpam-6281	281	2	a2	a2	PROPN
ejpam-6281	281	3	cos(ρ1	cos(ρ1	ADJ
ejpam-6281	281	4	−	−	PROPN
ejpam-6281	282	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	282	2	]	]	PUNCT
ejpam-6281	282	3	−g29a3	−g29a3	PUNCT
ejpam-6281	283	1	[	[	X
ejpam-6281	283	2	a1	a1	NOUN
ejpam-6281	283	3	sin(ρ1	sin(ρ1	NOUN
ejpam-6281	283	4	+	+	CCONJ
ejpam-6281	283	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	283	6	−a2	−a2	NOUN
ejpam-6281	283	7	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	283	8	−	−	PROPN
ejpam-6281	283	9	ρ2)t	ρ2)t	PROPN
ejpam-6281	283	10	]	]	PUNCT
ejpam-6281	284	1	+	+	PUNCT
ejpam-6281	284	2	g210a3	g210a3	X
ejpam-6281	284	3	[	[	X
ejpam-6281	284	4	a1	a1	NOUN
ejpam-6281	284	5	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	284	6	+	+	CCONJ
ejpam-6281	284	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	284	8	+	+	PROPN
ejpam-6281	284	9	a2	a2	NOUN
ejpam-6281	284	10	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	284	11	+	+	CCONJ
ejpam-6281	284	12	ρ2)t	ρ2)t	X
ejpam-6281	284	13	]	]	PUNCT
ejpam-6281	285	1	+	+	PUNCT
ejpam-6281	285	2	g211a3	g211a3	X
ejpam-6281	285	3	[	[	PUNCT
ejpam-6281	285	4	a1	a1	NOUN
ejpam-6281	285	5	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	285	6	+	+	CCONJ
ejpam-6281	285	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	285	8	−a2	−a2	PROPN
ejpam-6281	285	9	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	285	10	+	+	CCONJ
ejpam-6281	285	11	ρ2)t	ρ2)t	X
ejpam-6281	285	12	]	]	PUNCT
ejpam-6281	286	1	+	+	PUNCT
ejpam-6281	286	2	g212a3	g212a3	PROPN
ejpam-6281	287	1	[	[	X
ejpam-6281	287	2	a1	a1	NOUN
ejpam-6281	287	3	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	287	4	+	+	CCONJ
ejpam-6281	287	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	287	6	+	+	PROPN
ejpam-6281	287	7	a2	a2	NOUN
ejpam-6281	287	8	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	287	9	+	+	CCONJ
ejpam-6281	287	10	ρ2)t	ρ2)t	X
ejpam-6281	287	11	]	]	PUNCT
ejpam-6281	288	1	+	+	X
ejpam-6281	288	2	g213	g213	PROPN
ejpam-6281	288	3	sin(2ρ1	sin(2ρ1	NOUN
ejpam-6281	288	4	−	−	PART
ejpam-6281	288	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	289	1	+	+	NOUN
ejpam-6281	289	2	g214a	g214a	PROPN
ejpam-6281	289	3	2	2	NUM
ejpam-6281	289	4	3	3	NUM
ejpam-6281	289	5	[	[	X
ejpam-6281	289	6	a1	a1	NOUN
ejpam-6281	289	7	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	289	8	−	−	AUX
ejpam-6281	290	1	2ρ2)t	2ρ2)t	PROPN
ejpam-6281	291	1	+	+	PROPN
ejpam-6281	291	2	a2	a2	X
ejpam-6281	291	3	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	291	4	−	−	PROPN
ejpam-6281	292	1	2ρ2)t	2ρ2)t	NUM
ejpam-6281	292	2	]	]	PUNCT
ejpam-6281	293	1	+	+	PUNCT
ejpam-6281	293	2	g215a	g215a	PROPN
ejpam-6281	293	3	2	2	NUM
ejpam-6281	293	4	3	3	NUM
ejpam-6281	293	5	[	[	X
ejpam-6281	293	6	a1	a1	NOUN
ejpam-6281	293	7	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	293	8	−	−	PROPN
ejpam-6281	294	1	2ρ2)t	2ρ2)t	PROPN
ejpam-6281	294	2	−a2	−a2	NOUN
ejpam-6281	294	3	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	294	4	−	−	PROPN
ejpam-6281	295	1	2ρ2)t	2ρ2)t	NUM
ejpam-6281	295	2	]	]	PUNCT
ejpam-6281	295	3	−g216	−g216	NOUN
ejpam-6281	295	4	sin	sin	NOUN
ejpam-6281	295	5	2ρ2	2ρ2	NUM
ejpam-6281	295	6	t	t	NOUN
ejpam-6281	295	7	+	+	NOUN
ejpam-6281	295	8	g217a3	g217a3	PROPN
ejpam-6281	295	9	cos	cos	PROPN
ejpam-6281	295	10	ρ2	ρ2	PROPN
ejpam-6281	295	11	t	t	PROPN
ejpam-6281	295	12	+	+	NOUN
ejpam-6281	295	13	g218a	g218a	PROPN
ejpam-6281	295	14	2	2	NUM
ejpam-6281	295	15	3	3	NUM
ejpam-6281	295	16	cos	cos	PROPN
ejpam-6281	295	17	2ρ2	2ρ2	PROPN
ejpam-6281	295	18	t	t	PROPN
ejpam-6281	295	19	,	,	PUNCT
ejpam-6281	295	20	ρ−1	ρ−1	PROPN
ejpam-6281	295	21	2	2	NUM
ejpam-6281	295	22	θ31(t	θ31(t	ADV
ejpam-6281	295	23	)	)	PUNCT
ejpam-6281	296	1	=	=	SYM
ejpam-6281	296	2	g30	g30	PROPN
ejpam-6281	296	3	+	+	NOUN
ejpam-6281	296	4	g31a3	g31a3	NOUN
ejpam-6281	296	5	sin	sin	NOUN
ejpam-6281	296	6	ρ2	ρ2	PROPN
ejpam-6281	296	7	t	t	PROPN
ejpam-6281	296	8	+	+	PROPN
ejpam-6281	296	9	g32a3	g32a3	PROPN
ejpam-6281	296	10	cos	cos	PROPN
ejpam-6281	296	11	ρ2	ρ2	PROPN
ejpam-6281	296	12	t	t	PROPN
ejpam-6281	297	1	+	+	NOUN
ejpam-6281	297	2	g33a	g33a	NOUN
ejpam-6281	297	3	2	2	NUM
ejpam-6281	297	4	3	3	NUM
ejpam-6281	297	5	sin	sin	NOUN
ejpam-6281	297	6	2ρ2	2ρ2	NUM
ejpam-6281	297	7	t	t	NOUN
ejpam-6281	297	8	+	+	NOUN
ejpam-6281	297	9	g34a	g34a	PROPN
ejpam-6281	297	10	2	2	NUM
ejpam-6281	297	11	3	3	NUM
ejpam-6281	297	12	cos	cos	PROPN
ejpam-6281	297	13	2ρ2	2ρ2	NUM
ejpam-6281	297	14	t	t	PROPN
ejpam-6281	297	15	,	,	PUNCT
ejpam-6281	297	16	t.	t.	PROPN
ejpam-6281	297	17	s.	s.	PROPN
ejpam-6281	297	18	amer	amer	PROPN
ejpam-6281	297	19	et	et	PROPN
ejpam-6281	297	20	al	al	PROPN
ejpam-6281	297	21	.	.	PUNCT
ejpam-6281	297	22	/	/	SYM
ejpam-6281	297	23	eur	eur	PROPN
ejpam-6281	297	24	.	.	PUNCT
ejpam-6281	298	1	j.	j.	PROPN
ejpam-6281	298	2	pure	pure	PROPN
ejpam-6281	298	3	appl	appl	PROPN
ejpam-6281	298	4	.	.	PROPN
ejpam-6281	298	5	math	math	PROPN
ejpam-6281	298	6	,	,	PUNCT
ejpam-6281	298	7	18	18	NUM
ejpam-6281	298	8	(	(	PUNCT
ejpam-6281	298	9	3	3	NUM
ejpam-6281	298	10	)	)	PUNCT
ejpam-6281	298	11	(	(	PUNCT
ejpam-6281	298	12	2025	2025	NUM
ejpam-6281	298	13	)	)	PUNCT
ejpam-6281	298	14	,	,	PUNCT
ejpam-6281	298	15	6281	6281	NUM
ejpam-6281	298	16	12	12	NUM
ejpam-6281	298	17	of	of	ADP
ejpam-6281	298	18	35	35	NUM
ejpam-6281	298	19	ρ−1	ρ−1	PROPN
ejpam-6281	298	20	2	2	NUM
ejpam-6281	298	21	θ41(t	θ41(t	X
ejpam-6281	298	22	)	)	PUNCT
ejpam-6281	299	1	=	=	SYM
ejpam-6281	299	2	g40	g40	PROPN
ejpam-6281	299	3	−g41	−g41	NUM
ejpam-6281	299	4	(	(	PUNCT
ejpam-6281	299	5	a1	a1	PROPN
ejpam-6281	299	6	sin	sin	NOUN
ejpam-6281	299	7	ρ1	ρ1	PROPN
ejpam-6281	299	8	t	t	PROPN
ejpam-6281	299	9	−a2	−a2	PROPN
ejpam-6281	299	10	cos	cos	PROPN
ejpam-6281	299	11	ρ1	ρ1	PROPN
ejpam-6281	299	12	t	t	PROPN
ejpam-6281	299	13	)	)	PUNCT
ejpam-6281	300	1	+	+	SYM
ejpam-6281	300	2	g42	g42	NOUN
ejpam-6281	300	3	(	(	PUNCT
ejpam-6281	300	4	a1	a1	PROPN
ejpam-6281	300	5	sin	sin	NOUN
ejpam-6281	300	6	ρ1	ρ1	PROPN
ejpam-6281	300	7	t	t	PROPN
ejpam-6281	300	8	+	+	PROPN
ejpam-6281	300	9	a2	a2	PROPN
ejpam-6281	300	10	cos	cos	PROPN
ejpam-6281	300	11	ρ1	ρ1	PROPN
ejpam-6281	300	12	t	t	PROPN
ejpam-6281	300	13	)	)	PUNCT
ejpam-6281	301	1	+	+	ADV
ejpam-6281	301	2	g43	g43	NOUN
ejpam-6281	301	3	(	(	PUNCT
ejpam-6281	301	4	a1	a1	PROPN
ejpam-6281	301	5	cos	cos	PROPN
ejpam-6281	301	6	ρ1	ρ1	PROPN
ejpam-6281	301	7	t	t	PROPN
ejpam-6281	301	8	+	+	PROPN
ejpam-6281	301	9	a2	a2	PROPN
ejpam-6281	301	10	sin	sin	NOUN
ejpam-6281	301	11	ρ1	ρ1	PROPN
ejpam-6281	301	12	t	t	PROPN
ejpam-6281	301	13	)	)	PUNCT
ejpam-6281	301	14	−g44	−g44	PROPN
ejpam-6281	301	15	sin	sin	VERB
ejpam-6281	301	16	2ρ1	2ρ1	NUM
ejpam-6281	301	17	t	t	PROPN
ejpam-6281	301	18	+	+	PROPN
ejpam-6281	301	19	g45	g45	PROPN
ejpam-6281	301	20	cos	cos	PROPN
ejpam-6281	301	21	2ρ1	2ρ1	PROPN
ejpam-6281	301	22	t	t	PROPN
ejpam-6281	301	23	−g46a3	−g46a3	NOUN
ejpam-6281	301	24	sin	sin	PROPN
ejpam-6281	301	25	ρ2	ρ2	PROPN
ejpam-6281	301	26	t	t	NOUN
ejpam-6281	301	27	−g47a3	−g47a3	NOUN
ejpam-6281	302	1	[	[	X
ejpam-6281	302	2	a1	a1	NOUN
ejpam-6281	302	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	302	4	−	−	PROPN
ejpam-6281	302	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	302	6	−a2	−a2	NOUN
ejpam-6281	302	7	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	302	8	−	−	PROPN
ejpam-6281	303	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	303	2	]	]	PUNCT
ejpam-6281	304	1	+	+	PUNCT
ejpam-6281	304	2	g48a3	g48a3	NOUN
ejpam-6281	305	1	[	[	X
ejpam-6281	305	2	a1	a1	NOUN
ejpam-6281	305	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	305	4	−	−	PROPN
ejpam-6281	306	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	307	1	+	+	PROPN
ejpam-6281	307	2	a2	a2	PROPN
ejpam-6281	307	3	cos(ρ1	cos(ρ1	ADJ
ejpam-6281	307	4	−	−	PROPN
ejpam-6281	308	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	308	2	]	]	PUNCT
ejpam-6281	309	1	+	+	X
ejpam-6281	309	2	g49a3	g49a3	ADJ
ejpam-6281	309	3	[	[	PUNCT
ejpam-6281	309	4	a1	a1	NOUN
ejpam-6281	309	5	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	309	6	−	−	PROPN
ejpam-6281	309	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	309	8	+	+	PROPN
ejpam-6281	309	9	a2	a2	PROPN
ejpam-6281	309	10	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	309	11	−	−	PROPN
ejpam-6281	310	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	310	2	]	]	PUNCT
ejpam-6281	311	1	+	+	PUNCT
ejpam-6281	311	2	g410a3	g410a3	PROPN
ejpam-6281	311	3	[	[	PUNCT
ejpam-6281	311	4	a1	a1	NOUN
ejpam-6281	311	5	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	311	6	−	−	PROPN
ejpam-6281	312	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	312	2	−a2	−a2	PROPN
ejpam-6281	312	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	313	1	−	−	PROPN
ejpam-6281	314	1	ρ2)t	ρ2)t	PROPN
ejpam-6281	314	2	]	]	PUNCT
ejpam-6281	314	3	−g411a3	−g411a3	X
ejpam-6281	315	1	[	[	X
ejpam-6281	315	2	a1	a1	NOUN
ejpam-6281	315	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	315	4	+	+	CCONJ
ejpam-6281	315	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	315	6	−a2	−a2	NOUN
ejpam-6281	315	7	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	315	8	+	+	CCONJ
ejpam-6281	315	9	ρ2)t	ρ2)t	X
ejpam-6281	315	10	]	]	PUNCT
ejpam-6281	316	1	+	+	PUNCT
ejpam-6281	316	2	g412a3	g412a3	X
ejpam-6281	317	1	[	[	X
ejpam-6281	317	2	a1	a1	NOUN
ejpam-6281	317	3	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	317	4	+	+	CCONJ
ejpam-6281	317	5	ρ2)t	ρ2)t	PROPN
ejpam-6281	317	6	+	+	PROPN
ejpam-6281	317	7	a2	a2	NOUN
ejpam-6281	317	8	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	317	9	+	+	CCONJ
ejpam-6281	317	10	ρ2)t	ρ2)t	X
ejpam-6281	317	11	]	]	PUNCT
ejpam-6281	318	1	+	+	PUNCT
ejpam-6281	318	2	g413a3	g413a3	X
ejpam-6281	318	3	[	[	X
ejpam-6281	318	4	a1	a1	NOUN
ejpam-6281	318	5	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	318	6	+	+	CCONJ
ejpam-6281	318	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	318	8	+	+	PROPN
ejpam-6281	318	9	a2	a2	NOUN
ejpam-6281	318	10	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	318	11	+	+	CCONJ
ejpam-6281	318	12	ρ2)t	ρ2)t	X
ejpam-6281	318	13	]	]	PUNCT
ejpam-6281	319	1	+	+	X
ejpam-6281	319	2	g414a3	g414a3	PROPN
ejpam-6281	319	3	[	[	X
ejpam-6281	319	4	a1	a1	NOUN
ejpam-6281	319	5	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	319	6	+	+	CCONJ
ejpam-6281	319	7	ρ2)t	ρ2)t	PROPN
ejpam-6281	319	8	−a2	−a2	PROPN
ejpam-6281	319	9	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	319	10	+	+	CCONJ
ejpam-6281	319	11	ρ2)t	ρ2)t	X
ejpam-6281	319	12	]	]	PUNCT
ejpam-6281	319	13	+	+	PUNCT
ejpam-6281	319	14	g415	g415	PROPN
ejpam-6281	319	15	sin(2ρ1	sin(2ρ1	NOUN
ejpam-6281	319	16	−	−	PART
ejpam-6281	319	17	ρ2)t	ρ2)t	PROPN
ejpam-6281	319	18	+	+	PROPN
ejpam-6281	319	19	g416	g416	PROPN
ejpam-6281	319	20	cos(2ρ1	cos(2ρ1	PROPN
ejpam-6281	319	21	−	−	PROPN
ejpam-6281	319	22	ρ2)t	ρ2)t	NOUN
ejpam-6281	319	23	−g417a	−g417a	VERB
ejpam-6281	319	24	2	2	NUM
ejpam-6281	319	25	3	3	NUM
ejpam-6281	319	26	[	[	X
ejpam-6281	319	27	a1	a1	NOUN
ejpam-6281	319	28	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	319	29	−	−	PROPN
ejpam-6281	320	1	2ρ2)t	2ρ2)t	PROPN
ejpam-6281	320	2	−a2	−a2	NOUN
ejpam-6281	320	3	cos(ρ1	cos(ρ1	PROPN
ejpam-6281	320	4	−	−	PROPN
ejpam-6281	321	1	2ρ2)t	2ρ2)t	NUM
ejpam-6281	321	2	]	]	PUNCT
ejpam-6281	322	1	+	+	NUM
ejpam-6281	322	2	g418a	g418a	NOUN
ejpam-6281	322	3	2	2	NUM
ejpam-6281	322	4	3	3	NUM
ejpam-6281	322	5	[	[	X
ejpam-6281	322	6	a1	a1	NOUN
ejpam-6281	322	7	sin(ρ1	sin(ρ1	PROPN
ejpam-6281	322	8	−	−	AUX
ejpam-6281	323	1	2ρ2)t	2ρ2)t	PROPN
ejpam-6281	324	1	+	+	PROPN
ejpam-6281	324	2	a2	a2	X
ejpam-6281	324	3	cos(ρ1	cos(ρ1	NOUN
ejpam-6281	324	4	−	−	PROPN
ejpam-6281	325	1	2ρ2)t	2ρ2)t	NUM
ejpam-6281	325	2	]	]	PUNCT
ejpam-6281	325	3	−g419	−g419	X
ejpam-6281	325	4	sin(2ρ2)t	sin(2ρ2)t	PUNCT
ejpam-6281	325	5	+	+	VERB
ejpam-6281	325	6	g420a3	g420a3	ADJ
ejpam-6281	325	7	cos(ρ2	cos(ρ2	NOUN
ejpam-6281	325	8	t	t	NOUN
ejpam-6281	325	9	)	)	PUNCT
ejpam-6281	326	1	+	+	VERB
ejpam-6281	326	2	g421	g421	PROPN
ejpam-6281	326	3	cos(2ρ2)t	cos(2ρ2)t	VERB
ejpam-6281	326	4	.	.	PUNCT
ejpam-6281	326	5	here	here	ADV
ejpam-6281	326	6	g1h(h	g1h(h	PROPN
ejpam-6281	326	7	=	=	SYM
ejpam-6281	326	8	0	0	NUM
ejpam-6281	326	9	,	,	PUNCT
ejpam-6281	326	10	1	1	NUM
ejpam-6281	326	11	,	,	PUNCT
ejpam-6281	326	12	2	2	NUM
ejpam-6281	326	13	,	,	PUNCT
ejpam-6281	326	14	...	...	PUNCT
ejpam-6281	326	15	,	,	PUNCT
ejpam-6281	326	16	23	23	NUM
ejpam-6281	326	17	)	)	PUNCT
ejpam-6281	326	18	,	,	PUNCT
ejpam-6281	326	19	g2z(z	g2z(z	PROPN
ejpam-6281	326	20	=	=	SYM
ejpam-6281	326	21	0	0	NUM
ejpam-6281	326	22	,	,	PUNCT
ejpam-6281	326	23	1	1	NUM
ejpam-6281	326	24	,	,	PUNCT
ejpam-6281	326	25	2	2	NUM
ejpam-6281	326	26	,	,	PUNCT
ejpam-6281	326	27	...	...	PUNCT
ejpam-6281	326	28	,	,	PUNCT
ejpam-6281	326	29	18	18	NUM
ejpam-6281	326	30	)	)	PUNCT
ejpam-6281	326	31	,	,	PUNCT
ejpam-6281	326	32	g3k(k	g3k(k	PROPN
ejpam-6281	326	33	=	=	SYM
ejpam-6281	326	34	0	0	NUM
ejpam-6281	326	35	,	,	PUNCT
ejpam-6281	326	36	1	1	NUM
ejpam-6281	326	37	,	,	PUNCT
ejpam-6281	326	38	2	2	NUM
ejpam-6281	326	39	,	,	PUNCT
ejpam-6281	326	40	3	3	NUM
ejpam-6281	326	41	,	,	PUNCT
ejpam-6281	326	42	4	4	NUM
ejpam-6281	326	43	)	)	PUNCT
ejpam-6281	326	44	and	and	CCONJ
ejpam-6281	326	45	(	(	PUNCT
ejpam-6281	326	46	g4u;u	g4u;u	ADJ
ejpam-6281	326	47	=	=	SYM
ejpam-6281	326	48	0	0	NUM
ejpam-6281	326	49	,	,	PUNCT
ejpam-6281	326	50	1	1	NUM
ejpam-6281	326	51	,	,	PUNCT
ejpam-6281	326	52	2	2	NUM
ejpam-6281	326	53	,	,	PUNCT
ejpam-6281	326	54	...	...	PUNCT
ejpam-6281	326	55	,	,	PUNCT
ejpam-6281	326	56	21	21	NUM
ejpam-6281	326	57	)	)	PUNCT
ejpam-6281	326	58	are	be	AUX
ejpam-6281	326	59	constants	constant	NOUN
ejpam-6281	326	60	can	can	AUX
ejpam-6281	326	61	be	be	AUX
ejpam-6281	326	62	acquired	acquire	VERB
ejpam-6281	326	63	easily	easily	ADV
ejpam-6281	326	64	(	(	PUNCT
ejpam-6281	326	65	see	see	VERB
ejpam-6281	326	66	appendix	appendix	NOUN
ejpam-6281	326	67	2	2	NUM
ejpam-6281	326	68	)	)	PUNCT
ejpam-6281	326	69	.	.	PUNCT
ejpam-6281	327	1	substitution	substitution	NOUN
ejpam-6281	327	2	of	of	ADP
ejpam-6281	327	3	θd1(u	θd1(u	NOUN
ejpam-6281	327	4	)	)	PUNCT
ejpam-6281	327	5	into	into	ADP
ejpam-6281	327	6	(	(	PUNCT
ejpam-6281	327	7	22	22	NUM
ejpam-6281	327	8	)	)	PUNCT
ejpam-6281	327	9	,	,	PUNCT
ejpam-6281	327	10	yields	yield	NOUN
ejpam-6281	327	11	d	d	X
ejpam-6281	327	12	(	(	PUNCT
ejpam-6281	327	13	1	1	NUM
ejpam-6281	327	14	)	)	SYM
ejpam-6281	327	15	1	1	NUM
ejpam-6281	327	16	(	(	PUNCT
ejpam-6281	327	17	t0	t0	NOUN
ejpam-6281	327	18	)	)	PUNCT
ejpam-6281	327	19	=	=	SYM
ejpam-6281	327	20	(	(	PUNCT
ejpam-6281	327	21	e11	e11	X
ejpam-6281	327	22	+	+	NOUN
ejpam-6281	327	23	r11)t0	r11)t0	NOUN
ejpam-6281	327	24	,	,	PUNCT
ejpam-6281	327	25	d	d	X
ejpam-6281	327	26	(	(	PUNCT
ejpam-6281	327	27	1	1	NUM
ejpam-6281	327	28	)	)	SYM
ejpam-6281	327	29	2	2	NUM
ejpam-6281	327	30	(	(	PUNCT
ejpam-6281	327	31	t0	t0	NOUN
ejpam-6281	327	32	)	)	PUNCT
ejpam-6281	328	1	=	=	PUNCT
ejpam-6281	328	2	(	(	PUNCT
ejpam-6281	328	3	e21	e21	PROPN
ejpam-6281	328	4	+	+	NOUN
ejpam-6281	328	5	r21)t0	r21)t0	ADJ
ejpam-6281	328	6	,	,	PUNCT
ejpam-6281	328	7	d	d	X
ejpam-6281	328	8	(	(	PUNCT
ejpam-6281	328	9	1	1	NUM
ejpam-6281	328	10	)	)	PUNCT
ejpam-6281	328	11	4	4	NUM
ejpam-6281	328	12	(	(	PUNCT
ejpam-6281	328	13	t0	t0	NOUN
ejpam-6281	328	14	)	)	PUNCT
ejpam-6281	328	15	=	=	PUNCT
ejpam-6281	329	1	−(e31	−(e31	NOUN
ejpam-6281	329	2	+	+	NOUN
ejpam-6281	329	3	r41)t0	r41)t0	PROPN
ejpam-6281	329	4	,	,	PUNCT
ejpam-6281	329	5	(	(	PUNCT
ejpam-6281	329	6	23	23	NUM
ejpam-6281	329	7	)	)	PUNCT
ejpam-6281	329	8	where	where	SCONJ
ejpam-6281	329	9	e11	e11	NOUN
ejpam-6281	329	10	=	=	SYM
ejpam-6281	329	11	−1	−1	NOUN
ejpam-6281	329	12	2	2	NUM
ejpam-6281	329	13	[	[	X
ejpam-6281	329	14	(	(	PUNCT
ejpam-6281	329	15	g11	g11	X
ejpam-6281	329	16	−g12)a2	−g12)a2	PROPN
ejpam-6281	329	17	+	+	NOUN
ejpam-6281	329	18	g121a1	g121a1	PROPN
ejpam-6281	329	19	]	]	X
ejpam-6281	329	20	,	,	PUNCT
ejpam-6281	329	21	e21	e21	PROPN
ejpam-6281	329	22	=	=	SYM
ejpam-6281	329	23	−1	−1	NOUN
ejpam-6281	329	24	2	2	NUM
ejpam-6281	329	25	[	[	X
ejpam-6281	329	26	(	(	PUNCT
ejpam-6281	329	27	g23	g23	PROPN
ejpam-6281	329	28	−g21)a1	−g21)a1	PROPN
ejpam-6281	329	29	+	+	PROPN
ejpam-6281	329	30	g22a2	g22a2	PROPN
ejpam-6281	329	31	]	]	X
ejpam-6281	329	32	,	,	PUNCT
ejpam-6281	329	33	e31	e31	PROPN
ejpam-6281	329	34	=	=	SYM
ejpam-6281	329	35	−1	−1	NOUN
ejpam-6281	329	36	2g46a3	2g46a3	NUM
ejpam-6281	329	37	.	.	PUNCT
ejpam-6281	330	1	(	(	PUNCT
ejpam-6281	330	2	24	24	NUM
ejpam-6281	330	3	)	)	PUNCT
ejpam-6281	330	4	it	it	PRON
ejpam-6281	330	5	is	be	AUX
ejpam-6281	330	6	evident	evident	ADJ
ejpam-6281	330	7	that	that	SCONJ
ejpam-6281	330	8	,	,	PUNCT
ejpam-6281	330	9	t0	t0	NOUN
ejpam-6281	330	10	-	-	ADJ
ejpam-6281	330	11	periodic	periodic	ADJ
ejpam-6281	330	12	solutions	solution	NOUN
ejpam-6281	330	13	of	of	ADP
ejpam-6281	330	14	(	(	PUNCT
ejpam-6281	330	15	14)must	14)must	ADV
ejpam-6281	330	16	satisfy	satisfy	VERB
ejpam-6281	330	17	the	the	DET
ejpam-6281	330	18	following	follow	VERB
ejpam-6281	330	19	conditions	condition	NOUN
ejpam-6281	330	20	of	of	ADP
ejpam-6281	330	21	periodicity	periodicity	NOUN
ejpam-6281	330	22	for	for	ADP
ejpam-6281	330	23	necessity	necessity	NOUN
ejpam-6281	330	24	and	and	CCONJ
ejpam-6281	330	25	sufficiency	sufficiency	NOUN
ejpam-6281	330	26	[	[	X
ejpam-6281	330	27	23	23	NUM
ejpam-6281	330	28	]	]	PUNCT
ejpam-6281	330	29	.	.	PUNCT
ejpam-6281	331	1	ψ1	ψ1	NOUN
ejpam-6281	331	2	=	=	SYM
ejpam-6281	331	3	p2(t0	p2(t0	NOUN
ejpam-6281	331	4	,	,	PUNCT
ejpam-6281	331	5	ε)−	ε)−	PROPN
ejpam-6281	331	6	p2(0	p2(0	PROPN
ejpam-6281	331	7	,	,	PUNCT
ejpam-6281	331	8	ε	ε	PROPN
ejpam-6281	331	9	)	)	PUNCT
ejpam-6281	331	10	=	=	SYM
ejpam-6281	331	11	0	0	NUM
ejpam-6281	331	12	,	,	PUNCT
ejpam-6281	331	13	ψ2	ψ2	NOUN
ejpam-6281	331	14	=	=	SYM
ejpam-6281	331	15	q2(t0	q2(t0	NOUN
ejpam-6281	331	16	,	,	PUNCT
ejpam-6281	331	17	ε)−	ε)−	PROPN
ejpam-6281	331	18	q2(0	q2(0	PROPN
ejpam-6281	331	19	,	,	PUNCT
ejpam-6281	331	20	ε	ε	PROPN
ejpam-6281	331	21	)	)	PUNCT
ejpam-6281	331	22	=	=	SYM
ejpam-6281	331	23	0	0	NUM
ejpam-6281	331	24	,	,	PUNCT
ejpam-6281	331	25	ψ3	ψ3	NOUN
ejpam-6281	331	26	=	=	NOUN
ejpam-6281	331	27	α2(t0	α2(t0	NOUN
ejpam-6281	331	28	,	,	PUNCT
ejpam-6281	331	29	ε)−	ε)−	PROPN
ejpam-6281	331	30	α2(0	α2(0	PROPN
ejpam-6281	331	31	,	,	PUNCT
ejpam-6281	331	32	ε	ε	PROPN
ejpam-6281	331	33	)	)	PUNCT
ejpam-6281	331	34	=	=	SYM
ejpam-6281	331	35	0	0	NUM
ejpam-6281	331	36	,	,	PUNCT
ejpam-6281	331	37	ψ4	ψ4	NOUN
ejpam-6281	331	38	=	=	SYM
ejpam-6281	331	39	β2(t0	β2(t0	NOUN
ejpam-6281	331	40	,	,	PUNCT
ejpam-6281	331	41	ε)−	ε)−	PROPN
ejpam-6281	331	42	β2(0	β2(0	PROPN
ejpam-6281	331	43	,	,	PUNCT
ejpam-6281	331	44	ε	ε	PROPN
ejpam-6281	331	45	)	)	PUNCT
ejpam-6281	331	46	=	=	SYM
ejpam-6281	331	47	0	0	NUM
ejpam-6281	331	48	,	,	PUNCT
ejpam-6281	331	49	(	(	PUNCT
ejpam-6281	331	50	25	25	NUM
ejpam-6281	331	51	)	)	PUNCT
ejpam-6281	331	52	here	here	ADV
ejpam-6281	331	53	ψd	ψd	ADP
ejpam-6281	331	54	(	(	PUNCT
ejpam-6281	331	55	d	d	NOUN
ejpam-6281	331	56	=	=	SYM
ejpam-6281	331	57	1	1	NUM
ejpam-6281	331	58	,	,	PUNCT
ejpam-6281	331	59	2	2	NUM
ejpam-6281	331	60	,	,	PUNCT
ejpam-6281	331	61	3	3	NUM
ejpam-6281	331	62	,	,	PUNCT
ejpam-6281	331	63	4	4	NUM
ejpam-6281	331	64	)	)	PUNCT
ejpam-6281	331	65	are	be	AUX
ejpam-6281	331	66	treated	treat	VERB
ejpam-6281	331	67	in	in	ADP
ejpam-6281	331	68	terms	term	NOUN
ejpam-6281	331	69	of	of	ADP
ejpam-6281	331	70	(	(	PUNCT
ejpam-6281	331	71	aj	aj	PROPN
ejpam-6281	331	72	;	;	PUNCT
ejpam-6281	331	73	j	j	PROPN
ejpam-6281	331	74	=	=	SYM
ejpam-6281	331	75	1	1	NUM
ejpam-6281	331	76	,	,	PUNCT
ejpam-6281	331	77	2	2	NUM
ejpam-6281	331	78	,	,	PUNCT
ejpam-6281	331	79	3	3	NUM
ejpam-6281	331	80	)	)	PUNCT
ejpam-6281	331	81	,	,	PUNCT
ejpam-6281	331	82	µ	µ	NOUN
ejpam-6281	331	83	and	and	CCONJ
ejpam-6281	331	84	ε	ε	PROPN
ejpam-6281	331	85	.	.	PUNCT
ejpam-6281	332	1	the	the	DET
ejpam-6281	332	2	conditions	condition	NOUN
ejpam-6281	332	3	in	in	ADP
ejpam-6281	332	4	(	(	PUNCT
ejpam-6281	332	5	25	25	NUM
ejpam-6281	332	6	)	)	PUNCT
ejpam-6281	332	7	that	that	PRON
ejpam-6281	332	8	determine	determine	VERB
ejpam-6281	332	9	a	a	DET
ejpam-6281	332	10	(	(	PUNCT
ejpam-6281	332	11	0	0	NUM
ejpam-6281	332	12	)	)	PUNCT
ejpam-6281	332	13	j	j	PROPN
ejpam-6281	332	14	,	,	PUNCT
ejpam-6281	332	15	µ0	µ0	PROPN
ejpam-6281	332	16	and	and	CCONJ
ejpam-6281	332	17	aj	aj	PROPN
ejpam-6281	332	18	are	be	AUX
ejpam-6281	332	19	not	not	PART
ejpam-6281	332	20	mutually	mutually	ADV
ejpam-6281	332	21	exclusive	exclusive	ADJ
ejpam-6281	332	22	due	due	ADP
ejpam-6281	332	23	to	to	ADP
ejpam-6281	332	24	the	the	DET
ejpam-6281	332	25	presence	presence	NOUN
ejpam-6281	332	26	of	of	ADP
ejpam-6281	332	27	the	the	DET
ejpam-6281	332	28	first	first	ADJ
ejpam-6281	332	29	integrals	integral	NOUN
ejpam-6281	332	30	in	in	ADP
ejpam-6281	332	31	equations	equation	NOUN
ejpam-6281	332	32	(	(	PUNCT
ejpam-6281	332	33	11	11	NUM
ejpam-6281	332	34	)	)	PUNCT
ejpam-6281	333	1	[	[	X
ejpam-6281	333	2	20	20	NUM
ejpam-6281	333	3	]	]	PUNCT
ejpam-6281	333	4	.	.	PUNCT
ejpam-6281	334	1	furthermore	furthermore	ADV
ejpam-6281	334	2	,	,	PUNCT
ejpam-6281	334	3	if	if	SCONJ
ejpam-6281	334	4	a3	a3	VERB
ejpam-6281	334	5	̸=	̸=	PROPN
ejpam-6281	334	6	0	0	NUM
ejpam-6281	334	7	,	,	PUNCT
ejpam-6281	334	8	the	the	DET
ejpam-6281	334	9	third	third	ADJ
ejpam-6281	334	10	condition	condition	NOUN
ejpam-6281	334	11	is	be	AUX
ejpam-6281	334	12	expected	expect	VERB
ejpam-6281	334	13	to	to	PART
ejpam-6281	334	14	follow	follow	VERB
ejpam-6281	334	15	directly	directly	ADV
ejpam-6281	334	16	from	from	ADP
ejpam-6281	334	17	the	the	DET
ejpam-6281	334	18	others	other	NOUN
ejpam-6281	334	19	.	.	PUNCT
ejpam-6281	335	1	it	it	PRON
ejpam-6281	335	2	is	be	AUX
ejpam-6281	335	3	preferable	preferable	ADJ
ejpam-6281	335	4	to	to	PART
ejpam-6281	335	5	treat	treat	VERB
ejpam-6281	335	6	either	either	CCONJ
ejpam-6281	335	7	a	a	DET
ejpam-6281	335	8	(	(	PUNCT
ejpam-6281	335	9	0	0	NUM
ejpam-6281	335	10	)	)	PUNCT
ejpam-6281	335	11	j	j	NOUN
ejpam-6281	335	12	or	or	CCONJ
ejpam-6281	335	13	α0	α0	PROPN
ejpam-6281	335	14	as	as	ADP
ejpam-6281	335	15	a	a	DET
ejpam-6281	335	16	t.	t.	PROPN
ejpam-6281	335	17	s.	s.	PROPN
ejpam-6281	335	18	amer	amer	PROPN
ejpam-6281	335	19	et	et	PROPN
ejpam-6281	335	20	al	al	PROPN
ejpam-6281	335	21	.	.	PUNCT
ejpam-6281	335	22	/	/	SYM
ejpam-6281	335	23	eur	eur	PROPN
ejpam-6281	335	24	.	.	PUNCT
ejpam-6281	336	1	j.	j.	PROPN
ejpam-6281	336	2	pure	pure	PROPN
ejpam-6281	336	3	appl	appl	PROPN
ejpam-6281	336	4	.	.	PROPN
ejpam-6281	336	5	math	math	PROPN
ejpam-6281	336	6	,	,	PUNCT
ejpam-6281	336	7	18	18	NUM
ejpam-6281	336	8	(	(	PUNCT
ejpam-6281	336	9	3	3	NUM
ejpam-6281	336	10	)	)	PUNCT
ejpam-6281	336	11	(	(	PUNCT
ejpam-6281	336	12	2025	2025	NUM
ejpam-6281	336	13	)	)	PUNCT
ejpam-6281	336	14	,	,	PUNCT
ejpam-6281	336	15	6281	6281	NUM
ejpam-6281	336	16	13	13	NUM
ejpam-6281	336	17	of	of	ADP
ejpam-6281	336	18	35	35	NUM
ejpam-6281	336	19	constant	constant	ADJ
ejpam-6281	336	20	,	,	PUNCT
ejpam-6281	336	21	and	and	CCONJ
ejpam-6281	336	22	express	express	VERB
ejpam-6281	336	23	one	one	NUM
ejpam-6281	336	24	of	of	ADP
ejpam-6281	336	25	the	the	DET
ejpam-6281	336	26	ad	ad	NOUN
ejpam-6281	336	27	as	as	ADP
ejpam-6281	336	28	a	a	DET
ejpam-6281	336	29	function	function	NOUN
ejpam-6281	336	30	of	of	ADP
ejpam-6281	336	31	ε	ε	PROPN
ejpam-6281	336	32	which	which	PRON
ejpam-6281	336	33	can	can	AUX
ejpam-6281	336	34	be	be	AUX
ejpam-6281	336	35	removed	remove	VERB
ejpam-6281	336	36	when	when	SCONJ
ejpam-6281	336	37	ε→	ε→	PUNCT
ejpam-6281	336	38	∞	∞	PUNCT
ejpam-6281	337	1	[	[	X
ejpam-6281	337	2	31	31	NUM
ejpam-6281	337	3	]	]	PUNCT
ejpam-6281	337	4	.	.	PUNCT
ejpam-6281	338	1	multiplying	multiply	VERB
ejpam-6281	338	2	conditions	condition	NOUN
ejpam-6281	338	3	(	(	PUNCT
ejpam-6281	338	4	25	25	NUM
ejpam-6281	338	5	)	)	PUNCT
ejpam-6281	338	6	by	by	ADP
ejpam-6281	338	7	ε	ε	PROPN
ejpam-6281	338	8	and	and	CCONJ
ejpam-6281	338	9	setting	set	VERB
ejpam-6281	338	10	the	the	DET
ejpam-6281	338	11	free	free	ADJ
ejpam-6281	338	12	terms	term	NOUN
ejpam-6281	338	13	of	of	ADP
ejpam-6281	338	14	ε	ε	PROPN
ejpam-6281	338	15	to	to	ADP
ejpam-6281	338	16	zero	zero	NUM
ejpam-6281	338	17	,	,	PUNCT
ejpam-6281	338	18	the	the	DET
ejpam-6281	338	19	required	require	VERB
ejpam-6281	338	20	conditions	condition	NOUN
ejpam-6281	338	21	for	for	ADP
ejpam-6281	338	22	periodicity	periodicity	NOUN
ejpam-6281	338	23	of	of	ADP
ejpam-6281	338	24	d	d	PROPN
ejpam-6281	338	25	(	(	PUNCT
ejpam-6281	338	26	1	1	NUM
ejpam-6281	338	27	)	)	PUNCT
ejpam-6281	338	28	h	h	NOUN
ejpam-6281	338	29	(	(	PUNCT
ejpam-6281	338	30	h	h	NOUN
ejpam-6281	338	31	=	=	NOUN
ejpam-6281	338	32	1	1	NUM
ejpam-6281	338	33	,	,	PUNCT
ejpam-6281	338	34	2	2	NUM
ejpam-6281	338	35	,	,	PUNCT
ejpam-6281	338	36	4	4	NUM
ejpam-6281	338	37	)	)	PUNCT
ejpam-6281	338	38	are	be	AUX
ejpam-6281	338	39	obtained	obtain	VERB
ejpam-6281	338	40	in	in	ADP
ejpam-6281	338	41	the	the	DET
ejpam-6281	338	42	form	form	NOUN
ejpam-6281	338	43	d	d	X
ejpam-6281	338	44	(	(	PUNCT
ejpam-6281	338	45	1	1	NUM
ejpam-6281	338	46	)	)	PUNCT
ejpam-6281	338	47	h	h	NOUN
ejpam-6281	338	48	(	(	PUNCT
ejpam-6281	338	49	t0	t0	NOUN
ejpam-6281	338	50	)	)	PUNCT
ejpam-6281	339	1	=	=	SYM
ejpam-6281	339	2	d	d	X
ejpam-6281	339	3	(	(	PUNCT
ejpam-6281	339	4	1	1	NUM
ejpam-6281	339	5	)	)	PUNCT
ejpam-6281	339	6	h	h	NOUN
ejpam-6281	339	7	(	(	PUNCT
ejpam-6281	339	8	a1	a1	PROPN
ejpam-6281	339	9	,	,	PUNCT
ejpam-6281	339	10	a2	a2	PROPN
ejpam-6281	339	11	,	,	PUNCT
ejpam-6281	339	12	a3	a3	NOUN
ejpam-6281	339	13	,	,	PUNCT
ejpam-6281	339	14	µ	µ	NOUN
ejpam-6281	339	15	)	)	PUNCT
ejpam-6281	339	16	=	=	SYM
ejpam-6281	339	17	0	0	X
ejpam-6281	339	18	.	.	PUNCT
ejpam-6281	339	19	(	(	PUNCT
ejpam-6281	339	20	26	26	NUM
ejpam-6281	339	21	)	)	PUNCT
ejpam-6281	339	22	to	to	PART
ejpam-6281	339	23	further	far	ADV
ejpam-6281	339	24	understand	understand	VERB
ejpam-6281	339	25	the	the	DET
ejpam-6281	339	26	previous	previous	ADJ
ejpam-6281	339	27	conditions	condition	NOUN
ejpam-6281	339	28	,	,	PUNCT
ejpam-6281	339	29	we	we	PRON
ejpam-6281	339	30	utilize	utilize	VERB
ejpam-6281	339	31	equalities	equality	NOUN
ejpam-6281	339	32	(	(	PUNCT
ejpam-6281	339	33	23	23	NUM
ejpam-6281	339	34	)	)	PUNCT
ejpam-6281	339	35	to	to	PART
ejpam-6281	339	36	derive	derive	VERB
ejpam-6281	339	37	:	:	PUNCT
ejpam-6281	339	38	e11	e11	X
ejpam-6281	339	39	+	+	NOUN
ejpam-6281	339	40	r11	r11	NOUN
ejpam-6281	339	41	=	=	SYM
ejpam-6281	339	42	0	0	NUM
ejpam-6281	339	43	,	,	PUNCT
ejpam-6281	339	44	e21	e21	NUM
ejpam-6281	339	45	+	+	NOUN
ejpam-6281	339	46	r21	r21	NOUN
ejpam-6281	339	47	=	=	SYM
ejpam-6281	339	48	0	0	NUM
ejpam-6281	339	49	,	,	PUNCT
ejpam-6281	339	50	e31	e31	PROPN
ejpam-6281	340	1	+	+	NOUN
ejpam-6281	340	2	r41	r41	NOUN
ejpam-6281	340	3	=	=	SYM
ejpam-6281	340	4	0	0	NUM
ejpam-6281	340	5	.	.	PUNCT
ejpam-6281	341	1	(	(	PUNCT
ejpam-6281	341	2	27	27	NUM
ejpam-6281	341	3	)	)	PUNCT
ejpam-6281	341	4	it	it	PRON
ejpam-6281	341	5	is	be	AUX
ejpam-6281	341	6	evident	evident	ADJ
ejpam-6281	341	7	that	that	SCONJ
ejpam-6281	341	8	if	if	SCONJ
ejpam-6281	341	9	the	the	DET
ejpam-6281	341	10	ratio	ratio	NOUN
ejpam-6281	341	11	of	of	ADP
ejpam-6281	341	12	the	the	DET
ejpam-6281	341	13	frequencies	frequency	NOUN
ejpam-6281	341	14	ρ1	ρ1	NOUN
ejpam-6281	341	15	and	and	CCONJ
ejpam-6281	341	16	ρ2	ρ2	NOUN
ejpam-6281	341	17	equals	equal	VERB
ejpam-6281	341	18	2	2	NUM
ejpam-6281	341	19	,	,	PUNCT
ejpam-6281	341	20	1/2	1/2	NUM
ejpam-6281	341	21	,	,	PUNCT
ejpam-6281	341	22	1	1	NUM
ejpam-6281	341	23	or	or	CCONJ
ejpam-6281	341	24	−1	−1	NOUN
ejpam-6281	341	25	,	,	PUNCT
ejpam-6281	341	26	the	the	DET
ejpam-6281	341	27	resulting	result	VERB
ejpam-6281	341	28	expressions	expression	NOUN
ejpam-6281	341	29	for	for	ADP
ejpam-6281	341	30	r11	r11	NOUN
ejpam-6281	341	31	,	,	PUNCT
ejpam-6281	341	32	r21	r21	NOUN
ejpam-6281	341	33	and	and	CCONJ
ejpam-6281	341	34	r41	r41	NOUN
ejpam-6281	341	35	are	be	AUX
ejpam-6281	341	36	non	non	ADJ
ejpam-6281	341	37	-	-	ADJ
ejpam-6281	341	38	zero	zero	NUM
ejpam-6281	341	39	,	,	PUNCT
ejpam-6281	341	40	as	as	SCONJ
ejpam-6281	341	41	shown	show	VERB
ejpam-6281	341	42	below	below	ADP
ejpam-6281	341	43	i	i	PROPN
ejpam-6281	341	44	)	)	PUNCT
ejpam-6281	341	45	for	for	ADP
ejpam-6281	341	46	ρ1ρ	ρ1ρ	NOUN
ejpam-6281	341	47	−1	−1	NOUN
ejpam-6281	341	48	2	2	NUM
ejpam-6281	341	49	=	=	SYM
ejpam-6281	341	50	2	2	NUM
ejpam-6281	341	51	,	,	PUNCT
ejpam-6281	342	1	r11	r11	NOUN
ejpam-6281	342	2	=	=	PUNCT
ejpam-6281	342	3	−g111	−g111	NOUN
ejpam-6281	342	4	2	2	NUM
ejpam-6281	342	5	,	,	PUNCT
ejpam-6281	342	6	r21	r21	NOUN
ejpam-6281	342	7	=	=	SYM
ejpam-6281	342	8	g216	g216	NUM
ejpam-6281	342	9	2	2	NUM
ejpam-6281	342	10	,	,	PUNCT
ejpam-6281	342	11	r41	r41	NOUN
ejpam-6281	342	12	=	=	NOUN
ejpam-6281	342	13	a3	a3	NOUN
ejpam-6281	343	1	[	[	X
ejpam-6281	343	2	a1	a1	NOUN
ejpam-6281	343	3	(	(	PUNCT
ejpam-6281	343	4	g48	g48	NOUN
ejpam-6281	343	5	−g47	−g47	NOUN
ejpam-6281	343	6	)	)	PUNCT
ejpam-6281	344	1	+	+	PROPN
ejpam-6281	344	2	a2	a2	PROPN
ejpam-6281	344	3	(	(	PUNCT
ejpam-6281	344	4	g49	g49	PROPN
ejpam-6281	344	5	−g410	−g410	ADJ
ejpam-6281	344	6	)	)	PUNCT
ejpam-6281	344	7	]	]	PUNCT
ejpam-6281	344	8	/2	/2	PROPN
ejpam-6281	344	9	.	.	PUNCT
ejpam-6281	345	1	ii	ii	X
ejpam-6281	345	2	)	)	PUNCT
ejpam-6281	345	3	for	for	ADP
ejpam-6281	345	4	ρ1ρ	ρ1ρ	NOUN
ejpam-6281	345	5	−1	−1	NOUN
ejpam-6281	345	6	2	2	NUM
ejpam-6281	345	7	=	=	SYM
ejpam-6281	345	8	1	1	NUM
ejpam-6281	345	9	2	2	NUM
ejpam-6281	345	10	,	,	PUNCT
ejpam-6281	345	11	r11	r11	NOUN
ejpam-6281	345	12	=	=	SYM
ejpam-6281	345	13	−1	−1	NOUN
ejpam-6281	345	14	2	2	NUM
ejpam-6281	346	1	[	[	X
ejpam-6281	346	2	a2a3	a2a3	INTJ
ejpam-6281	346	3	(	(	PUNCT
ejpam-6281	346	4	g17	g17	NOUN
ejpam-6281	346	5	−g16)−a1a3	−g16)−a1a3	PROPN
ejpam-6281	346	6	(	(	PUNCT
ejpam-6281	346	7	g116	g116	PROPN
ejpam-6281	346	8	+	+	NUM
ejpam-6281	346	9	g117)−g123	g117)−g123	NOUN
ejpam-6281	346	10	]	]	PUNCT
ejpam-6281	346	11	,	,	PUNCT
ejpam-6281	346	12	r21	r21	NOUN
ejpam-6281	346	13	=	=	SYM
ejpam-6281	346	14	−a3	−a3	NOUN
ejpam-6281	346	15	2	2	NUM
ejpam-6281	347	1	[	[	X
ejpam-6281	347	2	a1	a1	NOUN
ejpam-6281	347	3	(	(	PUNCT
ejpam-6281	347	4	g25	g25	NOUN
ejpam-6281	347	5	−g28	−g28	NUM
ejpam-6281	347	6	)	)	PUNCT
ejpam-6281	347	7	+	+	PROPN
ejpam-6281	347	8	a2	a2	PROPN
ejpam-6281	347	9	(	(	PUNCT
ejpam-6281	347	10	g26	g26	PROPN
ejpam-6281	347	11	−g27	−g27	NUM
ejpam-6281	347	12	)	)	PUNCT
ejpam-6281	347	13	]	]	PUNCT
ejpam-6281	347	14	,	,	PUNCT
ejpam-6281	347	15	r41	r41	NOUN
ejpam-6281	347	16	=	=	SYM
ejpam-6281	347	17	−g44	−g44	PROPN
ejpam-6281	347	18	2	2	NUM
ejpam-6281	347	19	.	.	PUNCT
ejpam-6281	347	20	iii	iii	X
ejpam-6281	347	21	)	)	PUNCT
ejpam-6281	347	22	for	for	ADP
ejpam-6281	347	23	ρ1ρ	ρ1ρ	NOUN
ejpam-6281	347	24	−1	−1	NOUN
ejpam-6281	347	25	2	2	NUM
ejpam-6281	347	26	=	=	SYM
ejpam-6281	347	27	1	1	NUM
ejpam-6281	347	28	,	,	PUNCT
ejpam-6281	347	29	r11	r11	NOUN
ejpam-6281	347	30	=	=	SYM
ejpam-6281	347	31	−1	−1	NOUN
ejpam-6281	347	32	2	2	NUM
ejpam-6281	347	33	[	[	PUNCT
ejpam-6281	347	34	a2a	a2a	NOUN
ejpam-6281	347	35	2	2	NUM
ejpam-6281	347	36	3	3	NUM
ejpam-6281	347	37	(	(	PUNCT
ejpam-6281	347	38	g113	g113	PROPN
ejpam-6281	347	39	−g112	−g112	PROPN
ejpam-6281	347	40	)	)	PUNCT
ejpam-6281	347	41	+	+	CCONJ
ejpam-6281	347	42	(	(	PUNCT
ejpam-6281	347	43	g111	g111	PROPN
ejpam-6281	347	44	+	+	NOUN
ejpam-6281	347	45	g122a3	g122a3	PROPN
ejpam-6281	347	46	)	)	PUNCT
ejpam-6281	347	47	]	]	PUNCT
ejpam-6281	347	48	,	,	PUNCT
ejpam-6281	347	49	r21	r21	NOUN
ejpam-6281	347	50	=	=	SYM
ejpam-6281	347	51	−1	−1	NOUN
ejpam-6281	347	52	2	2	NUM
ejpam-6281	347	53	[	[	PUNCT
ejpam-6281	347	54	g213	g213	PROPN
ejpam-6281	347	55	−g24a3	−g24a3	X
ejpam-6281	347	56	−	−	PROPN
ejpam-6281	347	57	(	(	PUNCT
ejpam-6281	348	1	g214	g214	PROPN
ejpam-6281	348	2	+	+	ADP
ejpam-6281	348	3	g215)a1a	g215)a1a	VERB
ejpam-6281	348	4	2	2	NUM
ejpam-6281	348	5	3	3	NUM
ejpam-6281	348	6	]	]	PUNCT
ejpam-6281	348	7	,	,	PUNCT
ejpam-6281	348	8	r41	r41	NOUN
ejpam-6281	348	9	=	=	NOUN
ejpam-6281	348	10	1	1	NUM
ejpam-6281	348	11	2	2	NUM
ejpam-6281	348	12	[	[	PUNCT
ejpam-6281	348	13	(	(	PUNCT
ejpam-6281	348	14	g43	g43	NOUN
ejpam-6281	348	15	−g41)a1	−g41)a1	NOUN
ejpam-6281	348	16	+	+	PROPN
ejpam-6281	348	17	g42a2	g42a2	ADJ
ejpam-6281	348	18	+	+	PROPN
ejpam-6281	348	19	g415	g415	PROPN
ejpam-6281	348	20	+	+	CCONJ
ejpam-6281	348	21	(	(	PUNCT
ejpam-6281	348	22	g417	g417	ADJ
ejpam-6281	348	23	−g418)a1a	−g418)a1a	NOUN
ejpam-6281	348	24	2	2	NUM
ejpam-6281	348	25	3	3	NUM
ejpam-6281	348	26	]	]	PUNCT
ejpam-6281	348	27	.	.	PUNCT
ejpam-6281	349	1	iv	iv	X
ejpam-6281	349	2	)	)	PUNCT
ejpam-6281	349	3	for	for	ADP
ejpam-6281	349	4	ρ1ρ	ρ1ρ	NOUN
ejpam-6281	349	5	−1	−1	NOUN
ejpam-6281	349	6	2	2	NUM
ejpam-6281	349	7	=	=	SYM
ejpam-6281	349	8	−1	−1	NOUN
ejpam-6281	349	9	,	,	PUNCT
ejpam-6281	349	10	r11	r11	NOUN
ejpam-6281	349	11	=	=	SYM
ejpam-6281	349	12	g122a3	g122a3	ADJ
ejpam-6281	349	13	2	2	NUM
ejpam-6281	349	14	,	,	PUNCT
ejpam-6281	349	15	r21	r21	NOUN
ejpam-6281	349	16	=	=	SYM
ejpam-6281	349	17	−g24a3	−g24a3	SYM
ejpam-6281	349	18	2	2	NUM
ejpam-6281	349	19	,	,	PUNCT
ejpam-6281	349	20	r41	r41	NOUN
ejpam-6281	349	21	=	=	NOUN
ejpam-6281	349	22	1	1	NUM
ejpam-6281	349	23	2	2	NUM
ejpam-6281	350	1	[	[	X
ejpam-6281	350	2	a1	a1	NOUN
ejpam-6281	350	3	(	(	PUNCT
ejpam-6281	350	4	g41	g41	NOUN
ejpam-6281	350	5	−g43)−g42a2	−g43)−g42a2	NOUN
ejpam-6281	350	6	]	]	PUNCT
ejpam-6281	350	7	.	.	PUNCT
ejpam-6281	351	1	(	(	PUNCT
ejpam-6281	351	2	28	28	NUM
ejpam-6281	351	3	)	)	PUNCT
ejpam-6281	351	4	assuming	assume	VERB
ejpam-6281	351	5	a	a	DET
ejpam-6281	351	6	(	(	PUNCT
ejpam-6281	351	7	0	0	NUM
ejpam-6281	351	8	)	)	PUNCT
ejpam-6281	351	9	j	j	NOUN
ejpam-6281	351	10	(	(	PUNCT
ejpam-6281	351	11	j	j	PROPN
ejpam-6281	351	12	=	=	SYM
ejpam-6281	351	13	1	1	NUM
ejpam-6281	351	14	,	,	PUNCT
ejpam-6281	351	15	2	2	NUM
ejpam-6281	351	16	,	,	PUNCT
ejpam-6281	351	17	3	3	NUM
ejpam-6281	351	18	)	)	PUNCT
ejpam-6281	351	19	and	and	CCONJ
ejpam-6281	351	20	µ0	µ0	NOUN
ejpam-6281	351	21	satisfy	satisfy	NOUN
ejpam-6281	351	22	(	(	PUNCT
ejpam-6281	351	23	27	27	NUM
ejpam-6281	351	24	)	)	PUNCT
ejpam-6281	351	25	,	,	PUNCT
ejpam-6281	351	26	we	we	PRON
ejpam-6281	351	27	consider	consider	VERB
ejpam-6281	351	28	jacobi	jacobi	PROPN
ejpam-6281	351	29	’s	’s	PART
ejpam-6281	351	30	matrices	matrix	NOUN
ejpam-6281	351	31	of	of	ADP
ejpam-6281	351	32	dh(t0	dh(t0	NOUN
ejpam-6281	351	33	)	)	PUNCT
ejpam-6281	351	34	(	(	PUNCT
ejpam-6281	351	35	h	h	NOUN
ejpam-6281	351	36	=	=	NOUN
ejpam-6281	351	37	1	1	NUM
ejpam-6281	351	38	,	,	PUNCT
ejpam-6281	351	39	2	2	NUM
ejpam-6281	351	40	,	,	PUNCT
ejpam-6281	351	41	4	4	NUM
ejpam-6281	351	42	)	)	PUNCT
ejpam-6281	351	43	in	in	ADP
ejpam-6281	351	44	terms	term	NOUN
ejpam-6281	351	45	of	of	ADP
ejpam-6281	351	46	aj	aj	PROPN
ejpam-6281	351	47	and	and	CCONJ
ejpam-6281	351	48	compute	compute	VERB
ejpam-6281	351	49	both	both	PRON
ejpam-6281	351	50	of	of	ADP
ejpam-6281	351	51	µ	µ	NOUN
ejpam-6281	351	52	for	for	ADP
ejpam-6281	351	53	aj	aj	PROPN
ejpam-6281	351	54	=	=	PROPN
ejpam-6281	351	55	a	a	PRON
ejpam-6281	351	56	(	(	PUNCT
ejpam-6281	351	57	0	0	NUM
ejpam-6281	351	58	)	)	PUNCT
ejpam-6281	351	59	j	j	PROPN
ejpam-6281	351	60	,	,	PUNCT
ejpam-6281	351	61	µ	µ	X
ejpam-6281	351	62	=	=	SYM
ejpam-6281	351	63	µ0	µ0	NOUN
ejpam-6281	351	64	,	,	PUNCT
ejpam-6281	351	65	and	and	CCONJ
ejpam-6281	351	66	t.	t.	PROPN
ejpam-6281	351	67	s.	s.	PROPN
ejpam-6281	351	68	amer	amer	PROPN
ejpam-6281	351	69	et	et	PROPN
ejpam-6281	351	70	al	al	PROPN
ejpam-6281	351	71	.	.	PUNCT
ejpam-6281	351	72	/	/	SYM
ejpam-6281	351	73	eur	eur	PROPN
ejpam-6281	351	74	.	.	PUNCT
ejpam-6281	352	1	j.	j.	PROPN
ejpam-6281	352	2	pure	pure	PROPN
ejpam-6281	352	3	appl	appl	PROPN
ejpam-6281	352	4	.	.	PROPN
ejpam-6281	352	5	math	math	PROPN
ejpam-6281	352	6	,	,	PUNCT
ejpam-6281	352	7	18	18	NUM
ejpam-6281	352	8	(	(	PUNCT
ejpam-6281	352	9	3	3	NUM
ejpam-6281	352	10	)	)	PUNCT
ejpam-6281	352	11	(	(	PUNCT
ejpam-6281	352	12	2025	2025	NUM
ejpam-6281	352	13	)	)	PUNCT
ejpam-6281	352	14	,	,	PUNCT
ejpam-6281	352	15	6281	6281	NUM
ejpam-6281	352	16	14	14	NUM
ejpam-6281	352	17	of	of	ADP
ejpam-6281	352	18	35	35	NUM
ejpam-6281	352	19	ψd	ψd	ADP
ejpam-6281	352	20	in	in	ADP
ejpam-6281	352	21	terms	term	NOUN
ejpam-6281	352	22	of	of	ADP
ejpam-6281	352	23	ad	ad	NOUN
ejpam-6281	352	24	vanishes	vanish	VERB
ejpam-6281	352	25	at	at	ADP
ejpam-6281	352	26	ε	ε	PROPN
ejpam-6281	352	27	→	→	SYM
ejpam-6281	352	28	∞	∞	PROPN
ejpam-6281	352	29	.computing	.compute	VERB
ejpam-6281	352	30	the	the	DET
ejpam-6281	352	31	second	second	ADJ
ejpam-6281	352	32	matrix	matrix	NOUN
ejpam-6281	352	33	independently	independently	ADV
ejpam-6281	352	34	of	of	ADP
ejpam-6281	352	35	ε	ε	PROPN
ejpam-6281	352	36	.	.	PUNCT
ejpam-6281	353	1	allowing	allow	VERB
ejpam-6281	353	2	us	we	PRON
ejpam-6281	353	3	to	to	PART
ejpam-6281	353	4	substitute	substitute	VERB
ejpam-6281	353	5	ε	ε	PROPN
ejpam-6281	353	6	→	→	SYM
ejpam-6281	353	7	∞	∞	PROPN
ejpam-6281	353	8	.	.	PUNCT
ejpam-6281	354	1	since	since	SCONJ
ejpam-6281	354	2	aj	aj	PROPN
ejpam-6281	354	3	,	,	PUNCT
ejpam-6281	354	4	µ	µ	NOUN
ejpam-6281	354	5	and	and	CCONJ
ejpam-6281	354	6	ad	ad	NOUN
ejpam-6281	354	7	are	be	AUX
ejpam-6281	354	8	carried	carry	VERB
ejpam-6281	354	9	out	out	ADP
ejpam-6281	354	10	in	in	ADP
ejpam-6281	354	11	the	the	DET
ejpam-6281	354	12	solutions	solution	NOUN
ejpam-6281	354	13	as	as	ADP
ejpam-6281	354	14	related	related	ADJ
ejpam-6281	354	15	sums	sum	NOUN
ejpam-6281	354	16	,	,	PUNCT
ejpam-6281	354	17	the	the	DET
ejpam-6281	354	18	resulting	result	VERB
ejpam-6281	354	19	matrices	matrix	NOUN
ejpam-6281	354	20	are	be	AUX
ejpam-6281	354	21	identical	identical	ADJ
ejpam-6281	354	22	and	and	CCONJ
ejpam-6281	354	23	can	can	AUX
ejpam-6281	354	24	be	be	AUX
ejpam-6281	354	25	denoted	denote	VERB
ejpam-6281	354	26	by	by	ADP
ejpam-6281	354	27	j	j	PROPN
ejpam-6281	354	28	.	.	PUNCT
ejpam-6281	355	1	the	the	DET
ejpam-6281	355	2	solutions	solution	NOUN
ejpam-6281	355	3	of	of	ADP
ejpam-6281	355	4	(	(	PUNCT
ejpam-6281	355	5	25	25	NUM
ejpam-6281	355	6	)	)	PUNCT
ejpam-6281	355	7	establish	establish	VERB
ejpam-6281	355	8	a	a	DET
ejpam-6281	355	9	specific	specific	ADJ
ejpam-6281	355	10	case	case	NOUN
ejpam-6281	355	11	in	in	ADP
ejpam-6281	355	12	which	which	PRON
ejpam-6281	355	13	periodic	periodic	ADJ
ejpam-6281	355	14	solutions	solution	NOUN
ejpam-6281	355	15	exist	exist	VERB
ejpam-6281	355	16	.	.	PUNCT
ejpam-6281	356	1	4	4	X
ejpam-6281	356	2	.	.	X
ejpam-6281	356	3	the	the	DET
ejpam-6281	356	4	scenario	scenario	NOUN
ejpam-6281	356	5	of	of	ADP
ejpam-6281	356	6	irrational	irrational	ADJ
ejpam-6281	356	7	frequencies	frequency	NOUN
ejpam-6281	356	8	this	this	DET
ejpam-6281	356	9	section	section	NOUN
ejpam-6281	356	10	explores	explore	VERB
ejpam-6281	356	11	the	the	DET
ejpam-6281	356	12	periodic	periodic	ADJ
ejpam-6281	356	13	solutions	solution	NOUN
ejpam-6281	356	14	of	of	ADP
ejpam-6281	356	15	the	the	DET
ejpam-6281	356	16	investigated	investigate	VERB
ejpam-6281	356	17	problem	problem	NOUN
ejpam-6281	356	18	when	when	SCONJ
ejpam-6281	356	19	the	the	DET
ejpam-6281	356	20	ratio	ratio	NOUN
ejpam-6281	356	21	of	of	ADP
ejpam-6281	356	22	ρ1	ρ1	NOUN
ejpam-6281	356	23	to	to	ADP
ejpam-6281	356	24	ρ2	ρ2	NOUN
ejpam-6281	356	25	is	be	AUX
ejpam-6281	356	26	irrational	irrational	ADJ
ejpam-6281	356	27	.	.	PUNCT
ejpam-6281	357	1	notably	notably	ADV
ejpam-6281	357	2	,	,	PUNCT
ejpam-6281	357	3	these	these	DET
ejpam-6281	357	4	solutions	solution	NOUN
ejpam-6281	357	5	arise	arise	VERB
ejpam-6281	357	6	when	when	SCONJ
ejpam-6281	357	7	a	a	DET
ejpam-6281	357	8	(	(	PUNCT
ejpam-6281	357	9	0	0	NUM
ejpam-6281	357	10	)	)	PUNCT
ejpam-6281	357	11	1	1	NUM
ejpam-6281	357	12	=	=	SYM
ejpam-6281	357	13	a	a	DET
ejpam-6281	357	14	(	(	PUNCT
ejpam-6281	357	15	0	0	NUM
ejpam-6281	357	16	)	)	SYM
ejpam-6281	357	17	2	2	NUM
ejpam-6281	357	18	=	=	SYM
ejpam-6281	357	19	e21	e21	PROPN
ejpam-6281	357	20	=	=	SYM
ejpam-6281	357	21	e31	e31	NOUN
ejpam-6281	357	22	=	=	SYM
ejpam-6281	357	23	0	0	NUM
ejpam-6281	357	24	,	,	PUNCT
ejpam-6281	357	25	e11	e11	ADJ
ejpam-6281	357	26	̸=	̸=	PROPN
ejpam-6281	357	27	0	0	NUM
ejpam-6281	357	28	,	,	PUNCT
ejpam-6281	357	29	a	a	DET
ejpam-6281	357	30	(	(	PUNCT
ejpam-6281	357	31	0	0	NUM
ejpam-6281	357	32	)	)	PUNCT
ejpam-6281	357	33	3	3	NUM
ejpam-6281	357	34	γ53	γ53	NOUN
ejpam-6281	357	35	̸=	̸=	PROPN
ejpam-6281	357	36	0	0	NUM
ejpam-6281	357	37	(	(	PUNCT
ejpam-6281	357	38	where	where	SCONJ
ejpam-6281	357	39	a3	a3	NOUN
ejpam-6281	357	40	is	be	AUX
ejpam-6281	357	41	an	an	DET
ejpam-6281	357	42	arbitrary	arbitrary	ADJ
ejpam-6281	357	43	quantity	quantity	NOUN
ejpam-6281	357	44	)	)	PUNCT
ejpam-6281	358	1	[	[	X
ejpam-6281	358	2	16	16	NUM
ejpam-6281	358	3	]	]	PUNCT
ejpam-6281	358	4	,	,	PUNCT
ejpam-6281	358	5	j	j	PROPN
ejpam-6281	358	6	has	have	VERB
ejpam-6281	358	7	a	a	DET
ejpam-6281	358	8	third	third	ADJ
ejpam-6281	358	9	rank	rank	NOUN
ejpam-6281	358	10	,	,	PUNCT
ejpam-6281	358	11	and	and	CCONJ
ejpam-6281	358	12	µ0	µ0	NOUN
ejpam-6281	358	13	=	=	SYM
ejpam-6281	358	14	1	1	NUM
ejpam-6281	358	15	4ρ2	4ρ2	NUM
ejpam-6281	358	16	{	{	PUNCT
ejpam-6281	358	17	γ85	γ85	ADJ
ejpam-6281	358	18	+	+	CCONJ
ejpam-6281	358	19	γ78	γ78	NOUN
ejpam-6281	358	20	−	−	PROPN
ejpam-6281	358	21	2(γ61	2(γ61	NUM
ejpam-6281	359	1	+	+	CCONJ
ejpam-6281	359	2	γ63a	γ63a	VERB
ejpam-6281	359	3	(	(	PUNCT
ejpam-6281	359	4	0)2	0)2	NOUN
ejpam-6281	359	5	3	3	NUM
ejpam-6281	359	6	)	)	PUNCT
ejpam-6281	359	7	+	+	NUM
ejpam-6281	359	8	λ́2r10	λ́2r10	X
ejpam-6281	359	9	ρ2	ρ2	NOUN
ejpam-6281	359	10	[	[	PUNCT
ejpam-6281	359	11	δ(γ65	δ(γ65	ADJ
ejpam-6281	359	12	−	−	NUM
ejpam-6281	359	13	2γ68	2γ68	NUM
ejpam-6281	359	14	)	)	PUNCT
ejpam-6281	360	1	+	+	CCONJ
ejpam-6281	360	2	(	(	PUNCT
ejpam-6281	360	3	1	1	NUM
ejpam-6281	360	4	+	+	NUM
ejpam-6281	360	5	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	360	6	}	}	PUNCT
ejpam-6281	360	7	(	(	PUNCT
ejpam-6281	360	8	29	29	NUM
ejpam-6281	360	9	)	)	PUNCT
ejpam-6281	360	10	are	be	AUX
ejpam-6281	360	11	met	meet	VERB
ejpam-6281	360	12	,	,	PUNCT
ejpam-6281	360	13	and	and	CCONJ
ejpam-6281	360	14	equalities	equality	NOUN
ejpam-6281	360	15	(	(	PUNCT
ejpam-6281	360	16	25	25	NUM
ejpam-6281	360	17	)	)	PUNCT
ejpam-6281	360	18	have	have	VERB
ejpam-6281	360	19	solutions	solution	NOUN
ejpam-6281	360	20	expressed	express	VERB
ejpam-6281	360	21	as	as	ADP
ejpam-6281	360	22	power	power	NOUN
ejpam-6281	360	23	series	series	NOUN
ejpam-6281	360	24	in	in	ADP
ejpam-6281	360	25	terms	term	NOUN
ejpam-6281	360	26	of	of	ADP
ejpam-6281	360	27	the	the	DET
ejpam-6281	360	28	large	large	ADJ
ejpam-6281	360	29	parameter	parameter	NOUN
ejpam-6281	360	30	a1	a1	PROPN
ejpam-6281	360	31	,	,	PUNCT
ejpam-6281	360	32	a2	a2	PROPN
ejpam-6281	360	33	and	and	CCONJ
ejpam-6281	360	34	a4	a4	NOUN
ejpam-6281	360	35	where	where	SCONJ
ejpam-6281	360	36	a3	a3	NOUN
ejpam-6281	360	37	can	can	AUX
ejpam-6281	360	38	be	be	AUX
ejpam-6281	360	39	set	set	VERB
ejpam-6281	360	40	to	to	ADP
ejpam-6281	360	41	zero	zero	NUM
ejpam-6281	360	42	.	.	PUNCT
ejpam-6281	361	1	these	these	DET
ejpam-6281	361	2	solutions	solution	NOUN
ejpam-6281	361	3	approach	approach	VERB
ejpam-6281	361	4	zero	zero	NUM
ejpam-6281	361	5	as	as	SCONJ
ejpam-6281	361	6	ε	ε	PROPN
ejpam-6281	361	7	tends	tend	VERB
ejpam-6281	361	8	to	to	PART
ejpam-6281	361	9	infinity	infinity	NOUN
ejpam-6281	361	10	.	.	PUNCT
ejpam-6281	362	1	based	base	VERB
ejpam-6281	362	2	on	on	ADP
ejpam-6281	362	3	the	the	DET
ejpam-6281	362	4	above	above	NOUN
ejpam-6281	362	5	,	,	PUNCT
ejpam-6281	362	6	the	the	DET
ejpam-6281	362	7	periodicity	periodicity	NOUN
ejpam-6281	362	8	conditions	condition	NOUN
ejpam-6281	362	9	are	be	AUX
ejpam-6281	362	10	expressed	express	VERB
ejpam-6281	362	11	as	as	SCONJ
ejpam-6281	362	12	follows	follow	VERB
ejpam-6281	362	13	a1(cos	a1(cos	PROPN
ejpam-6281	362	14	ρ1t0	ρ1t0	NOUN
ejpam-6281	362	15	−	−	PROPN
ejpam-6281	362	16	1	1	NUM
ejpam-6281	362	17	)	)	PUNCT
ejpam-6281	363	1	+	+	NUM
ejpam-6281	363	2	a2	a2	PROPN
ejpam-6281	363	3	sin	sin	VERB
ejpam-6281	363	4	ρ1t0	ρ1t0	X
ejpam-6281	363	5	+	+	CCONJ
ejpam-6281	363	6	ε1d	ε1d	ADJ
ejpam-6281	363	7	(	(	PUNCT
ejpam-6281	363	8	1	1	NUM
ejpam-6281	363	9	)	)	SYM
ejpam-6281	363	10	1	1	NUM
ejpam-6281	363	11	(	(	PUNCT
ejpam-6281	363	12	t0	t0	NOUN
ejpam-6281	363	13	)	)	PUNCT
ejpam-6281	364	1	+	+	CCONJ
ejpam-6281	364	2	....	....	PUNCT
ejpam-6281	365	1	=	=	SYM
ejpam-6281	365	2	0	0	NUM
ejpam-6281	365	3	,	,	PUNCT
ejpam-6281	365	4	−a1	−a1	VERB
ejpam-6281	365	5	sin	sin	NOUN
ejpam-6281	365	6	ρ1t0	ρ1t0	X
ejpam-6281	365	7	+	+	SYM
ejpam-6281	365	8	a2(cos	a2(co	NOUN
ejpam-6281	365	9	ρ1t0	ρ1t0	NOUN
ejpam-6281	365	10	−	−	PROPN
ejpam-6281	365	11	1	1	NUM
ejpam-6281	365	12	)	)	PUNCT
ejpam-6281	365	13	+	+	CCONJ
ejpam-6281	366	1	ε1d	ε1d	ADJ
ejpam-6281	366	2	(	(	PUNCT
ejpam-6281	366	3	1	1	NUM
ejpam-6281	366	4	)	)	SYM
ejpam-6281	366	5	2	2	NUM
ejpam-6281	366	6	(	(	PUNCT
ejpam-6281	366	7	t0	t0	NOUN
ejpam-6281	366	8	)	)	PUNCT
ejpam-6281	367	1	+	+	CCONJ
ejpam-6281	367	2	....	....	PUNCT
ejpam-6281	368	1	=	=	SYM
ejpam-6281	368	2	0	0	NUM
ejpam-6281	368	3	,	,	PUNCT
ejpam-6281	368	4	d	d	X
ejpam-6281	368	5	(	(	PUNCT
ejpam-6281	368	6	1	1	NUM
ejpam-6281	368	7	)	)	PUNCT
ejpam-6281	368	8	4	4	NUM
ejpam-6281	368	9	(	(	PUNCT
ejpam-6281	368	10	t0	t0	NOUN
ejpam-6281	368	11	)	)	PUNCT
ejpam-6281	369	1	+	+	CCONJ
ejpam-6281	369	2	....	....	PUNCT
ejpam-6281	370	1	=	=	PUNCT
ejpam-6281	370	2	0	0	X
ejpam-6281	370	3	.	.	PUNCT
ejpam-6281	370	4	(	(	PUNCT
ejpam-6281	370	5	30	30	NUM
ejpam-6281	370	6	)	)	PUNCT
ejpam-6281	370	7	according	accord	VERB
ejpam-6281	370	8	to	to	ADP
ejpam-6281	370	9	(	(	PUNCT
ejpam-6281	370	10	29	29	NUM
ejpam-6281	370	11	)	)	PUNCT
ejpam-6281	370	12	,	,	PUNCT
ejpam-6281	370	13	the	the	DET
ejpam-6281	370	14	unperturbed	unperturbed	ADJ
ejpam-6281	370	15	solutions	solution	NOUN
ejpam-6281	370	16	p20	p20	NOUN
ejpam-6281	370	17	,	,	PUNCT
ejpam-6281	370	18	q20	q20	NOUN
ejpam-6281	370	19	,	,	PUNCT
ejpam-6281	370	20	α20	α20	NOUN
ejpam-6281	370	21	and	and	CCONJ
ejpam-6281	370	22	β20	β20	PROPN
ejpam-6281	370	23	have	have	VERB
ejpam-6281	370	24	the	the	DET
ejpam-6281	370	25	forms	form	NOUN
ejpam-6281	370	26	p2(t	p2(t	PROPN
ejpam-6281	370	27	,	,	PUNCT
ejpam-6281	370	28	0	0	NUM
ejpam-6281	370	29	)	)	PUNCT
ejpam-6281	370	30	=	=	SYM
ejpam-6281	370	31	0	0	NUM
ejpam-6281	370	32	,	,	PUNCT
ejpam-6281	370	33	q2(t	q2(t	PROPN
ejpam-6281	370	34	,	,	PUNCT
ejpam-6281	370	35	0	0	NUM
ejpam-6281	370	36	)	)	PUNCT
ejpam-6281	370	37	=	=	SYM
ejpam-6281	371	1	−	−	PROPN
ejpam-6281	371	2	λ́2r10(1	λ́2r10(1	PROPN
ejpam-6281	371	3	+	+	CCONJ
ejpam-6281	371	4	χδ	χδ	ADJ
ejpam-6281	371	5	)	)	PUNCT
ejpam-6281	371	6	ρ1	ρ1	NOUN
ejpam-6281	371	7	,	,	PUNCT
ejpam-6281	371	8	α2(t	α2(t	NUM
ejpam-6281	371	9	,	,	PUNCT
ejpam-6281	371	10	0	0	NUM
ejpam-6281	371	11	)	)	PUNCT
ejpam-6281	371	12	=	=	SYM
ejpam-6281	371	13	a	a	DET
ejpam-6281	371	14	(	(	PUNCT
ejpam-6281	371	15	0	0	NUM
ejpam-6281	371	16	)	)	PUNCT
ejpam-6281	371	17	3	3	NUM
ejpam-6281	371	18	cos	cos	PROPN
ejpam-6281	371	19	ρ2	ρ2	PROPN
ejpam-6281	371	20	t	t	PROPN
ejpam-6281	371	21	,	,	PUNCT
ejpam-6281	371	22	β2(t	β2(t	SYM
ejpam-6281	371	23	,	,	PUNCT
ejpam-6281	371	24	0	0	NUM
ejpam-6281	371	25	)	)	PUNCT
ejpam-6281	371	26	=	=	SYM
ejpam-6281	372	1	−a(0	−a(0	NOUN
ejpam-6281	372	2	)	)	PUNCT
ejpam-6281	372	3	3	3	NUM
ejpam-6281	372	4	sin	sin	NOUN
ejpam-6281	372	5	ρ2	ρ2	PROPN
ejpam-6281	372	6	t	t	NOUN
ejpam-6281	372	7	−	−	PROPN
ejpam-6281	372	8	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	372	9	ρ1	ρ1	NOUN
ejpam-6281	372	10	.	.	PUNCT
ejpam-6281	373	1	(	(	PUNCT
ejpam-6281	373	2	31	31	NUM
ejpam-6281	373	3	)	)	PUNCT
ejpam-6281	373	4	based	base	VERB
ejpam-6281	373	5	on	on	ADP
ejpam-6281	373	6	the	the	DET
ejpam-6281	373	7	area	area	NOUN
ejpam-6281	373	8	integral	integral	ADJ
ejpam-6281	373	9	in	in	ADP
ejpam-6281	373	10	(	(	PUNCT
ejpam-6281	373	11	5	5	NUM
ejpam-6281	373	12	)	)	PUNCT
ejpam-6281	373	13	and	and	CCONJ
ejpam-6281	373	14	the	the	DET
ejpam-6281	373	15	conditions	condition	NOUN
ejpam-6281	373	16	(	(	PUNCT
ejpam-6281	373	17	15	15	NUM
ejpam-6281	373	18	)	)	PUNCT
ejpam-6281	373	19	,	,	PUNCT
ejpam-6281	373	20	we	we	PRON
ejpam-6281	373	21	obtain	obtain	VERB
ejpam-6281	373	22	a	a	DET
ejpam-6281	373	23	(	(	PUNCT
ejpam-6281	373	24	0	0	NUM
ejpam-6281	373	25	)	)	PUNCT
ejpam-6281	373	26	3	3	NUM
ejpam-6281	373	27	=	=	SYM
ejpam-6281	373	28	1	1	NUM
ejpam-6281	373	29	2	2	NUM
ejpam-6281	373	30	g	g	NOUN
ejpam-6281	373	31	−1	−1	NOUN
ejpam-6281	373	32	1	1	NUM
ejpam-6281	373	33	[	[	X
ejpam-6281	373	34	−g2	−g2	ADJ
ejpam-6281	373	35	±	±	NOUN
ejpam-6281	373	36	(	(	PUNCT
ejpam-6281	373	37	g2	g2	PROPN
ejpam-6281	373	38	2	2	NUM
ejpam-6281	373	39	+	+	NUM
ejpam-6281	373	40	4g1g3	4g1g3	NOUN
ejpam-6281	373	41	)	)	PUNCT
ejpam-6281	373	42	1/2	1/2	NUM
ejpam-6281	373	43	]	]	PUNCT
ejpam-6281	373	44	;	;	PUNCT
ejpam-6281	373	45	g1	g1	PROPN
ejpam-6281	373	46	̸=	̸=	PROPN
ejpam-6281	373	47	0	0	NUM
ejpam-6281	373	48	,	,	PUNCT
ejpam-6281	373	49	(	(	PUNCT
ejpam-6281	373	50	g2	g2	PROPN
ejpam-6281	373	51	2	2	NUM
ejpam-6281	373	52	+	+	NUM
ejpam-6281	373	53	4g1g3	4g1g3	NUM
ejpam-6281	373	54	)	)	PUNCT
ejpam-6281	373	55	>	>	X
ejpam-6281	374	1	0	0	X
ejpam-6281	374	2	.	.	PUNCT
ejpam-6281	374	3	(	(	PUNCT
ejpam-6281	374	4	32	32	NUM
ejpam-6281	374	5	)	)	PUNCT
ejpam-6281	374	6	here	here	ADV
ejpam-6281	374	7	gj(j	gj(j	NOUN
ejpam-6281	375	1	=	=	NOUN
ejpam-6281	375	2	1	1	NUM
ejpam-6281	375	3	,	,	PUNCT
ejpam-6281	375	4	2	2	NUM
ejpam-6281	375	5	,	,	PUNCT
ejpam-6281	375	6	3	3	NUM
ejpam-6281	375	7	)	)	PUNCT
ejpam-6281	375	8	are	be	AUX
ejpam-6281	375	9	dependently	dependently	ADV
ejpam-6281	375	10	on	on	ADP
ejpam-6281	375	11	of	of	ADP
ejpam-6281	375	12	h	h	NOUN
ejpam-6281	375	13	,	,	PUNCT
ejpam-6281	375	14	β	β	X
ejpam-6281	375	15	,	,	PUNCT
ejpam-6281	375	16	p20	p20	NOUN
ejpam-6281	375	17	,	,	PUNCT
ejpam-6281	375	18	q20	q20	NOUN
ejpam-6281	375	19	,	,	PUNCT
ejpam-6281	375	20	α20	α20	NOUN
ejpam-6281	375	21	and	and	CCONJ
ejpam-6281	375	22	β20	β20	NUM
ejpam-6281	375	23	which	which	PRON
ejpam-6281	375	24	can	can	AUX
ejpam-6281	375	25	be	be	AUX
ejpam-6281	375	26	determined	determine	VERB
ejpam-6281	375	27	.	.	PUNCT
ejpam-6281	376	1	utilizing	utilize	VERB
ejpam-6281	376	2	(	(	PUNCT
ejpam-6281	376	3	29	29	NUM
ejpam-6281	376	4	)	)	PUNCT
ejpam-6281	376	5	and	and	CCONJ
ejpam-6281	376	6	(	(	PUNCT
ejpam-6281	376	7	30	30	NUM
ejpam-6281	376	8	)	)	PUNCT
ejpam-6281	376	9	,	,	PUNCT
ejpam-6281	376	10	a1	a1	NOUN
ejpam-6281	376	11	and	and	CCONJ
ejpam-6281	376	12	a2	a2	PROPN
ejpam-6281	376	13	are	be	AUX
ejpam-6281	376	14	obtained	obtain	VERB
ejpam-6281	376	15	in	in	ADP
ejpam-6281	376	16	the	the	DET
ejpam-6281	376	17	forms	form	NOUN
ejpam-6281	376	18	t.	t.	PROPN
ejpam-6281	376	19	s.	s.	PROPN
ejpam-6281	376	20	amer	amer	PROPN
ejpam-6281	376	21	et	et	PROPN
ejpam-6281	376	22	al	al	PROPN
ejpam-6281	376	23	.	.	PUNCT
ejpam-6281	376	24	/	/	SYM
ejpam-6281	376	25	eur	eur	PROPN
ejpam-6281	376	26	.	.	PUNCT
ejpam-6281	377	1	j.	j.	PROPN
ejpam-6281	377	2	pure	pure	PROPN
ejpam-6281	377	3	appl	appl	PROPN
ejpam-6281	377	4	.	.	PROPN
ejpam-6281	377	5	math	math	PROPN
ejpam-6281	377	6	,	,	PUNCT
ejpam-6281	377	7	18	18	NUM
ejpam-6281	377	8	(	(	PUNCT
ejpam-6281	377	9	3	3	NUM
ejpam-6281	377	10	)	)	PUNCT
ejpam-6281	377	11	(	(	PUNCT
ejpam-6281	377	12	2025	2025	NUM
ejpam-6281	377	13	)	)	PUNCT
ejpam-6281	377	14	,	,	PUNCT
ejpam-6281	377	15	6281	6281	NUM
ejpam-6281	377	16	15	15	NUM
ejpam-6281	377	17	of	of	ADP
ejpam-6281	377	18	35	35	NUM
ejpam-6281	377	19	4εa1	4εa1	NUM
ejpam-6281	377	20	=	=	SYM
ejpam-6281	377	21	−t0a(0	−t0a(0	X
ejpam-6281	377	22	)	)	PUNCT
ejpam-6281	377	23	3	3	NUM
ejpam-6281	377	24	{	{	PUNCT
ejpam-6281	377	25	(	(	PUNCT
ejpam-6281	377	26	2	2	NUM
ejpam-6281	377	27	csc2	csc2	NOUN
ejpam-6281	377	28	ρ1	ρ1	NOUN
ejpam-6281	377	29	2	2	NUM
ejpam-6281	377	30	t0	t0	NOUN
ejpam-6281	377	31	−	−	NOUN
ejpam-6281	377	32	1)[γ48	1)[γ48	NUM
ejpam-6281	377	33	+	+	NUM
ejpam-6281	377	34	γ35	γ35	NOUN
ejpam-6281	377	35	+	+	CCONJ
ejpam-6281	377	36	λ́2r10	λ́2r10	NOUN
ejpam-6281	377	37	ρ1	ρ1	NOUN
ejpam-6281	377	38	(	(	PUNCT
ejpam-6281	377	39	δγ25	δγ25	PROPN
ejpam-6281	377	40	−	−	PROPN
ejpam-6281	377	41	(	(	PUNCT
ejpam-6281	377	42	1	1	NUM
ejpam-6281	377	43	+	+	NUM
ejpam-6281	377	44	χδ	χδ	ADJ
ejpam-6281	377	45	)	)	PUNCT
ejpam-6281	377	46	×γ15	×γ15	PROPN
ejpam-6281	377	47	)	)	PUNCT
ejpam-6281	377	48	]	]	PUNCT
ejpam-6281	378	1	+	+	NUM
ejpam-6281	378	2	2a	2a	NUM
ejpam-6281	378	3	(	(	PUNCT
ejpam-6281	378	4	0	0	NUM
ejpam-6281	378	5	)	)	PUNCT
ejpam-6281	378	6	3	3	NUM
ejpam-6281	378	7	[	[	X
ejpam-6281	378	8	γ45	γ45	NOUN
ejpam-6281	378	9	+	+	CCONJ
ejpam-6281	378	10	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	378	11	ρ2	ρ2	NOUN
ejpam-6281	378	12	γ28	γ28	NOUN
ejpam-6281	378	13	−	−	PROPN
ejpam-6281	378	14	(	(	PUNCT
ejpam-6281	378	15	1	1	NUM
ejpam-6281	378	16	+	+	NUM
ejpam-6281	378	17	2λ́2r10	2λ́2r10	NUM
ejpam-6281	378	18	ρ1	ρ1	NOUN
ejpam-6281	378	19	(	(	PUNCT
ejpam-6281	378	20	1	1	NUM
ejpam-6281	378	21	+	+	CCONJ
ejpam-6281	378	22	χδ)γ18)]}+	χδ)γ18)]}+	NOUN
ejpam-6281	378	23	....	....	PUNCT
ejpam-6281	378	24	,	,	PUNCT
ejpam-6281	378	25	4εa2	4εa2	NUM
ejpam-6281	378	26	=	=	SYM
ejpam-6281	378	27	−t0a(0	−t0a(0	X
ejpam-6281	378	28	)	)	PUNCT
ejpam-6281	378	29	3	3	NUM
ejpam-6281	378	30	{	{	PUNCT
ejpam-6281	378	31	(	(	PUNCT
ejpam-6281	378	32	cot	cot	NOUN
ejpam-6281	378	33	ρ1	ρ1	NOUN
ejpam-6281	378	34	2	2	NUM
ejpam-6281	378	35	t0)[γ48	t0)[γ48	ADJ
ejpam-6281	378	36	+	+	NOUN
ejpam-6281	378	37	γ35	γ35	NOUN
ejpam-6281	378	38	+	+	CCONJ
ejpam-6281	378	39	λ́2r10	λ́2r10	NOUN
ejpam-6281	378	40	ρ1	ρ1	NOUN
ejpam-6281	378	41	(	(	PUNCT
ejpam-6281	378	42	δγ25	δγ25	PROPN
ejpam-6281	378	43	−	−	PROPN
ejpam-6281	378	44	(	(	PUNCT
ejpam-6281	378	45	1	1	NUM
ejpam-6281	378	46	+	+	NUM
ejpam-6281	378	47	χδ)γ15	χδ)γ15	NUM
ejpam-6281	378	48	)	)	PUNCT
ejpam-6281	378	49	]	]	PUNCT
ejpam-6281	379	1	+2a	+2a	PROPN
ejpam-6281	379	2	(	(	PUNCT
ejpam-6281	379	3	0	0	NUM
ejpam-6281	379	4	)	)	PUNCT
ejpam-6281	379	5	3	3	NUM
ejpam-6281	380	1	[	[	X
ejpam-6281	380	2	γ45	γ45	NOUN
ejpam-6281	380	3	+	+	CCONJ
ejpam-6281	380	4	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	380	5	ρ2	ρ2	NOUN
ejpam-6281	380	6	γ28	γ28	NOUN
ejpam-6281	380	7	−	−	PROPN
ejpam-6281	380	8	(	(	PUNCT
ejpam-6281	380	9	1	1	NUM
ejpam-6281	380	10	+	+	NUM
ejpam-6281	380	11	2λ́2r10	2λ́2r10	NUM
ejpam-6281	380	12	ρ1	ρ1	NOUN
ejpam-6281	380	13	(	(	PUNCT
ejpam-6281	380	14	1	1	NUM
ejpam-6281	380	15	+	+	CCONJ
ejpam-6281	380	16	χδ)γ18)]}+	χδ)γ18)]}+	NOUN
ejpam-6281	380	17	.....	.....	PUNCT
ejpam-6281	381	1	(	(	PUNCT
ejpam-6281	381	2	33	33	NUM
ejpam-6281	381	3	)	)	PUNCT
ejpam-6281	381	4	it	it	PRON
ejpam-6281	381	5	is	be	AUX
ejpam-6281	381	6	worth	worth	ADJ
ejpam-6281	381	7	noting	note	VERB
ejpam-6281	381	8	that	that	SCONJ
ejpam-6281	381	9	,	,	PUNCT
ejpam-6281	381	10	the	the	DET
ejpam-6281	381	11	form	form	NOUN
ejpam-6281	381	12	of	of	ADP
ejpam-6281	381	13	a4	a4	NOUN
ejpam-6281	381	14	is	be	AUX
ejpam-6281	381	15	of	of	ADP
ejpam-6281	381	16	order	order	NOUN
ejpam-6281	381	17	o(ε−2	o(ε−2	NOUN
ejpam-6281	381	18	)	)	PUNCT
ejpam-6281	381	19	.	.	PUNCT
ejpam-6281	382	1	utilizing	utilize	VERB
ejpam-6281	382	2	(	(	PUNCT
ejpam-6281	382	3	3	3	NUM
ejpam-6281	382	4	)	)	PUNCT
ejpam-6281	382	5	,	,	PUNCT
ejpam-6281	382	6	(	(	PUNCT
ejpam-6281	382	7	6	6	NUM
ejpam-6281	382	8	)	)	PUNCT
ejpam-6281	382	9	,	,	PUNCT
ejpam-6281	382	10	(	(	PUNCT
ejpam-6281	382	11	9	9	NUM
ejpam-6281	382	12	)	)	PUNCT
ejpam-6281	382	13	,	,	PUNCT
ejpam-6281	382	14	(	(	PUNCT
ejpam-6281	382	15	14	14	NUM
ejpam-6281	382	16	)	)	PUNCT
ejpam-6281	382	17	,	,	PUNCT
ejpam-6281	382	18	(	(	PUNCT
ejpam-6281	382	19	22	22	NUM
ejpam-6281	382	20	)	)	PUNCT
ejpam-6281	382	21	,	,	PUNCT
ejpam-6281	382	22	(	(	PUNCT
ejpam-6281	382	23	23	23	NUM
ejpam-6281	382	24	)	)	PUNCT
ejpam-6281	382	25	,	,	PUNCT
ejpam-6281	382	26	(	(	PUNCT
ejpam-6281	382	27	29	29	NUM
ejpam-6281	382	28	)	)	PUNCT
ejpam-6281	382	29	,	,	PUNCT
ejpam-6281	382	30	and	and	CCONJ
ejpam-6281	382	31	(	(	PUNCT
ejpam-6281	382	32	33	33	NUM
ejpam-6281	382	33	)	)	PUNCT
ejpam-6281	382	34	,	,	PUNCT
ejpam-6281	382	35	the	the	DET
ejpam-6281	382	36	desired	desire	VERB
ejpam-6281	382	37	solutions	solution	NOUN
ejpam-6281	382	38	are	be	AUX
ejpam-6281	382	39	expressed	express	VERB
ejpam-6281	382	40	as	as	ADP
ejpam-6281	382	41	power	power	NOUN
ejpam-6281	382	42	series	series	NOUN
ejpam-6281	382	43	of	of	ADP
ejpam-6281	382	44	ε−1	ε−1	PROPN
ejpam-6281	382	45	in	in	ADP
ejpam-6281	382	46	the	the	DET
ejpam-6281	382	47	following	follow	VERB
ejpam-6281	382	48	forms	form	NOUN
ejpam-6281	382	49	p	p	NOUN
ejpam-6281	382	50	=	=	PUNCT
ejpam-6281	382	51	ε−1/2n−1[d1	ε−1/2n−1[d1	NUM
ejpam-6281	382	52	+	+	CCONJ
ejpam-6281	382	53	χa	χa	PROPN
ejpam-6281	382	54	(	(	PUNCT
ejpam-6281	382	55	0	0	NUM
ejpam-6281	382	56	)	)	PUNCT
ejpam-6281	382	57	3	3	NUM
ejpam-6281	382	58	cos(ρ2n	cos(ρ2n	PROPN
ejpam-6281	382	59	−1	−1	NOUN
ejpam-6281	382	60	t	t	PROPN
ejpam-6281	382	61	)	)	PUNCT
ejpam-6281	382	62	]	]	PUNCT
ejpam-6281	383	1	+	+	CCONJ
ejpam-6281	383	2	ε−3/2n−1	ε−3/2n−1	PROPN
ejpam-6281	383	3	{	{	PUNCT
ejpam-6281	383	4	χ	χ	NUM
ejpam-6281	383	5	2ρ2	2ρ2	NUM
ejpam-6281	383	6	[	[	X
ejpam-6281	383	7	2(γ81	2(γ81	X
ejpam-6281	383	8	+	+	NUM
ejpam-6281	383	9	γ83)−	γ83)−	PROPN
ejpam-6281	383	10	γ65a	γ65a	NOUN
ejpam-6281	383	11	(	(	PUNCT
ejpam-6281	383	12	0)2	0)2	NUM
ejpam-6281	383	13	3	3	NUM
ejpam-6281	383	14	]	]	PUNCT
ejpam-6281	383	15	+	+	CCONJ
ejpam-6281	383	16	1	1	NUM
ejpam-6281	383	17	2ρ1	2ρ1	NUM
ejpam-6281	383	18	[	[	X
ejpam-6281	383	19	2γ41	2γ41	NOUN
ejpam-6281	383	20	−	−	PROPN
ejpam-6281	383	21	γ27	γ27	NOUN
ejpam-6281	383	22	−	−	PROPN
ejpam-6281	383	23	γ18	γ18	PROPN
ejpam-6281	383	24	+	+	CCONJ
ejpam-6281	383	25	(	(	PUNCT
ejpam-6281	383	26	2γ43	2γ43	NUM
ejpam-6281	383	27	−	−	PROPN
ejpam-6281	383	28	γ25)a	γ25)a	PROPN
ejpam-6281	383	29	(	(	PUNCT
ejpam-6281	383	30	0)2	0)2	NUM
ejpam-6281	383	31	3	3	NUM
ejpam-6281	383	32	]	]	PUNCT
ejpam-6281	383	33	+	+	CCONJ
ejpam-6281	383	34	{	{	PUNCT
ejpam-6281	383	35	χt	χt	ADP
ejpam-6281	383	36	2na	2na	ADJ
ejpam-6281	383	37	(	(	PUNCT
ejpam-6281	383	38	0	0	NUM
ejpam-6281	383	39	)	)	PUNCT
ejpam-6281	383	40	3	3	NUM
ejpam-6281	384	1	[	[	X
ejpam-6281	384	2	γ88	γ88	INTJ
ejpam-6281	384	3	−	−	PROPN
ejpam-6281	384	4	γ75	γ75	NOUN
ejpam-6281	384	5	+	+	CCONJ
ejpam-6281	384	6	λ́2r10	λ́2r10	X
ejpam-6281	384	7	ρ2	ρ2	NOUN
ejpam-6281	384	8	×(δγ65	×(δγ65	PROPN
ejpam-6281	384	9	−	−	PROPN
ejpam-6281	384	10	(	(	PUNCT
ejpam-6281	384	11	1	1	NUM
ejpam-6281	384	12	+	+	CCONJ
ejpam-6281	384	13	δχ)γ55)]−	δχ)γ55)]−	ADJ
ejpam-6281	384	14	χ	χ	PRON
ejpam-6281	384	15	2ρ2	2ρ2	NUM
ejpam-6281	385	1	[	[	X
ejpam-6281	385	2	2γ81	2γ81	X
ejpam-6281	385	3	+	+	X
ejpam-6281	385	4	(	(	PUNCT
ejpam-6281	385	5	2γ83	2γ83	NUM
ejpam-6281	385	6	−	−	PROPN
ejpam-6281	385	7	γ65)a	γ65)a	NOUN
ejpam-6281	385	8	(	(	PUNCT
ejpam-6281	385	9	0)2	0)2	NUM
ejpam-6281	385	10	3	3	NUM
ejpam-6281	385	11	]	]	SYM
ejpam-6281	385	12	−	−	X
ejpam-6281	385	13	χ	χ	PRON
ejpam-6281	385	14	6ρ2	6ρ2	NUM
ejpam-6281	385	15	γ65a	γ65a	NOUN
ejpam-6281	385	16	(	(	PUNCT
ejpam-6281	385	17	0)2	0)2	NUM
ejpam-6281	385	18	3	3	NUM
ejpam-6281	385	19	}	}	PUNCT
ejpam-6281	385	20	×	×	PROPN
ejpam-6281	385	21	cos(ρ2n	cos(ρ2n	PROPN
ejpam-6281	385	22	−1	−1	NOUN
ejpam-6281	385	23	t	t	PROPN
ejpam-6281	385	24	)	)	PUNCT
ejpam-6281	385	25	+	+	CCONJ
ejpam-6281	385	26	{	{	PUNCT
ejpam-6281	385	27	−	−	NOUN
ejpam-6281	385	28	χ	χ	X
ejpam-6281	385	29	2ρ2	2ρ2	NUM
ejpam-6281	385	30	a	a	PRON
ejpam-6281	385	31	(	(	PUNCT
ejpam-6281	385	32	0)2	0)2	NUM
ejpam-6281	385	33	3	3	NUM
ejpam-6281	385	34	[	[	X
ejpam-6281	385	35	γ88	γ88	INTJ
ejpam-6281	385	36	−	−	PROPN
ejpam-6281	385	37	γ75	γ75	NOUN
ejpam-6281	385	38	+	+	CCONJ
ejpam-6281	385	39	λ́2r10	λ́2r10	X
ejpam-6281	385	40	ρ2	ρ2	NOUN
ejpam-6281	385	41	(	(	PUNCT
ejpam-6281	385	42	δγ65	δγ65	PROPN
ejpam-6281	385	43	−	−	PROPN
ejpam-6281	385	44	(	(	PUNCT
ejpam-6281	385	45	1	1	NUM
ejpam-6281	385	46	+	+	CCONJ
ejpam-6281	385	47	χδ)γ55	χδ)γ55	NUM
ejpam-6281	385	48	)	)	PUNCT
ejpam-6281	385	49	]	]	PUNCT
ejpam-6281	386	1	+	+	CCONJ
ejpam-6281	386	2	χt	χt	ADP
ejpam-6281	386	3	2na	2na	ADJ
ejpam-6281	386	4	(	(	PUNCT
ejpam-6281	386	5	0	0	NUM
ejpam-6281	386	6	)	)	PUNCT
ejpam-6281	386	7	3	3	NUM
ejpam-6281	387	1	[	[	X
ejpam-6281	387	2	−2(γ61	−2(γ61	X
ejpam-6281	387	3	+	+	X
ejpam-6281	387	4	γ63a	γ63a	NUM
ejpam-6281	387	5	(	(	PUNCT
ejpam-6281	387	6	0)2	0)2	NOUN
ejpam-6281	387	7	3	3	NUM
ejpam-6281	387	8	)	)	PUNCT
ejpam-6281	387	9	]	]	PUNCT
ejpam-6281	388	1	+	+	CCONJ
ejpam-6281	388	2	γ85	γ85	ADJ
ejpam-6281	388	3	+	+	CCONJ
ejpam-6281	388	4	γ75	γ75	VERB
ejpam-6281	388	5	−	−	NUM
ejpam-6281	388	6	2ρ2µ0	2ρ2µ0	NUM
ejpam-6281	388	7	−	−	PROPN
ejpam-6281	388	8	λ́2r10	λ́2r10	SYM
ejpam-6281	388	9	ρ2	ρ2	NOUN
ejpam-6281	388	10	(	(	PUNCT
ejpam-6281	388	11	δγ68	δγ68	PROPN
ejpam-6281	388	12	−	−	PROPN
ejpam-6281	388	13	(	(	PUNCT
ejpam-6281	388	14	1	1	NUM
ejpam-6281	388	15	+	+	NUM
ejpam-6281	388	16	χδ	χδ	ADJ
ejpam-6281	388	17	)	)	PUNCT
ejpam-6281	388	18	×γ58	×γ58	PROPN
ejpam-6281	388	19	)	)	PUNCT
ejpam-6281	389	1	+	+	PUNCT
ejpam-6281	389	2	χ	χ	X
ejpam-6281	389	3	ρ2	ρ2	NOUN
ejpam-6281	389	4	γ68a	γ68a	NOUN
ejpam-6281	389	5	(	(	PUNCT
ejpam-6281	389	6	0)2	0)2	NUM
ejpam-6281	389	7	3	3	NUM
ejpam-6281	389	8	]	]	PUNCT
ejpam-6281	389	9	}	}	PUNCT
ejpam-6281	389	10	sin(ρ2n−1	sin(ρ2n−1	X
ejpam-6281	389	11	)	)	PUNCT
ejpam-6281	389	12	+	+	CCONJ
ejpam-6281	389	13	{	{	PUNCT
ejpam-6281	389	14	−t0	−t0	VERB
ejpam-6281	389	15	4	4	NUM
ejpam-6281	389	16	a	a	PRON
ejpam-6281	389	17	(	(	PUNCT
ejpam-6281	389	18	0	0	NUM
ejpam-6281	389	19	)	)	PUNCT
ejpam-6281	389	20	3	3	NUM
ejpam-6281	389	21	(	(	PUNCT
ejpam-6281	389	22	2	2	NUM
ejpam-6281	389	23	csc2	csc2	NOUN
ejpam-6281	389	24	ρ1	ρ1	NOUN
ejpam-6281	389	25	2	2	NUM
ejpam-6281	389	26	t0	t0	NOUN
ejpam-6281	389	27	−	−	NOUN
ejpam-6281	389	28	1)[γ48	1)[γ48	NUM
ejpam-6281	389	29	+	+	NUM
ejpam-6281	389	30	γ35	γ35	NOUN
ejpam-6281	389	31	+	+	CCONJ
ejpam-6281	389	32	λ́2r10	λ́2r10	NOUN
ejpam-6281	389	33	ρ1	ρ1	NOUN
ejpam-6281	389	34	(	(	PUNCT
ejpam-6281	389	35	δγ25	δγ25	PROPN
ejpam-6281	389	36	−	−	PROPN
ejpam-6281	389	37	(	(	PUNCT
ejpam-6281	389	38	1	1	NUM
ejpam-6281	389	39	+	+	NUM
ejpam-6281	389	40	χδ)γ15)]−	χδ)γ15)]−	NOUN
ejpam-6281	389	41	[	[	PUNCT
ejpam-6281	389	42	1	1	NUM
ejpam-6281	389	43	2ρ1	2ρ1	NUM
ejpam-6281	389	44	[	[	X
ejpam-6281	389	45	2γ41	2γ41	NOUN
ejpam-6281	389	46	−	−	PROPN
ejpam-6281	389	47	γ27	γ27	NOUN
ejpam-6281	389	48	−	−	PROPN
ejpam-6281	389	49	γ18	γ18	PROPN
ejpam-6281	389	50	+	+	CCONJ
ejpam-6281	389	51	(	(	PUNCT
ejpam-6281	389	52	2γ43	2γ43	NUM
ejpam-6281	389	53	−	−	PROPN
ejpam-6281	389	54	γ25)a	γ25)a	PROPN
ejpam-6281	389	55	(	(	PUNCT
ejpam-6281	389	56	0)2	0)2	NUM
ejpam-6281	389	57	3	3	NUM
ejpam-6281	389	58	]	]	PUNCT
ejpam-6281	389	59	+	+	NUM
ejpam-6281	389	60	t	t	NOUN
ejpam-6281	389	61	2nγ46a	2nγ46a	NOUN
ejpam-6281	389	62	(	(	PUNCT
ejpam-6281	389	63	0	0	NUM
ejpam-6281	389	64	)	)	PUNCT
ejpam-6281	389	65	3	3	NUM
ejpam-6281	389	66	]	]	PUNCT
ejpam-6281	389	67	+	+	CCONJ
ejpam-6281	389	68	t0	t0	PROPN
ejpam-6281	389	69	2	2	NUM
ejpam-6281	389	70	a	a	DET
ejpam-6281	389	71	(	(	PUNCT
ejpam-6281	389	72	0)2	0)2	NUM
ejpam-6281	389	73	3	3	NUM
ejpam-6281	389	74	[	[	X
ejpam-6281	389	75	γ45	γ45	NOUN
ejpam-6281	389	76	−	−	PROPN
ejpam-6281	389	77	γ18	γ18	PROPN
ejpam-6281	389	78	+	+	CCONJ
ejpam-6281	389	79	λ́2r10	λ́2r10	PROPN
ejpam-6281	389	80	ρ1	ρ1	NOUN
ejpam-6281	389	81	(	(	PUNCT
ejpam-6281	389	82	δγ28	δγ28	PROPN
ejpam-6281	389	83	−	−	PROPN
ejpam-6281	389	84	2(1	2(1	NUM
ejpam-6281	389	85	+	+	NUM
ejpam-6281	389	86	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	389	87	)	)	PUNCT
ejpam-6281	389	88	]	]	PUNCT
ejpam-6281	389	89	}	}	PUNCT
ejpam-6281	389	90	×	×	PROPN
ejpam-6281	389	91	cos(ρ1n	cos(ρ1n	PROPN
ejpam-6281	389	92	−1	−1	NOUN
ejpam-6281	389	93	t	t	PROPN
ejpam-6281	389	94	)	)	PUNCT
ejpam-6281	389	95	+	+	CCONJ
ejpam-6281	389	96	{	{	PUNCT
ejpam-6281	389	97	1	1	NUM
ejpam-6281	389	98	4	4	NUM
ejpam-6281	389	99	[	[	SYM
ejpam-6281	389	100	2	2	NUM
ejpam-6281	389	101	ρ1	ρ1	NOUN
ejpam-6281	389	102	−	−	PROPN
ejpam-6281	389	103	t0a	t0a	PRON
ejpam-6281	389	104	(	(	PUNCT
ejpam-6281	389	105	0	0	NUM
ejpam-6281	389	106	)	)	PUNCT
ejpam-6281	389	107	3	3	NUM
ejpam-6281	389	108	(	(	PUNCT
ejpam-6281	389	109	cot	cot	NOUN
ejpam-6281	389	110	ρ1	ρ1	NOUN
ejpam-6281	389	111	2	2	NUM
ejpam-6281	389	112	t0)[γ48	t0)[γ48	ADJ
ejpam-6281	389	113	+	+	NOUN
ejpam-6281	389	114	γ35	γ35	NOUN
ejpam-6281	389	115	+	+	CCONJ
ejpam-6281	389	116	λ́2r10	λ́2r10	NOUN
ejpam-6281	389	117	ρ1	ρ1	NOUN
ejpam-6281	389	118	(	(	PUNCT
ejpam-6281	389	119	δγ28	δγ28	PROPN
ejpam-6281	389	120	−(1	−(1	ADJ
ejpam-6281	389	121	+	+	CCONJ
ejpam-6281	389	122	χδ)γ15	χδ)γ15	NUM
ejpam-6281	389	123	)	)	PUNCT
ejpam-6281	389	124	]	]	PUNCT
ejpam-6281	390	1	+	+	CCONJ
ejpam-6281	390	2	1	1	NUM
ejpam-6281	390	3	2a	2a	NUM
ejpam-6281	390	4	(	(	PUNCT
ejpam-6281	390	5	0)2	0)2	PROPN
ejpam-6281	390	6	3	3	NUM
ejpam-6281	390	7	t0[γ45	t0[γ45	NOUN
ejpam-6281	390	8	+	+	CCONJ
ejpam-6281	390	9	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	390	10	ρ2	ρ2	NOUN
ejpam-6281	390	11	γ28	γ28	NOUN
ejpam-6281	390	12	−	−	PROPN
ejpam-6281	390	13	(	(	PUNCT
ejpam-6281	390	14	1	1	NUM
ejpam-6281	390	15	+	+	NUM
ejpam-6281	390	16	2λ́2r10	2λ́2r10	NUM
ejpam-6281	390	17	ρ1	ρ1	NOUN
ejpam-6281	390	18	(	(	PUNCT
ejpam-6281	390	19	1	1	NUM
ejpam-6281	390	20	+	+	NUM
ejpam-6281	390	21	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	390	22	)	)	PUNCT
ejpam-6281	390	23	]	]	PUNCT
ejpam-6281	391	1	+1	+1	PROPN
ejpam-6281	391	2	2a	2a	NUM
ejpam-6281	391	3	(	(	PUNCT
ejpam-6281	391	4	0)2	0)2	PROPN
ejpam-6281	391	5	3	3	NUM
ejpam-6281	391	6	t0[γ45	t0[γ45	PROPN
ejpam-6281	391	7	−	−	PROPN
ejpam-6281	391	8	γ18	γ18	PROPN
ejpam-6281	391	9	+	+	CCONJ
ejpam-6281	391	10	λ́2r10	λ́2r10	PROPN
ejpam-6281	391	11	ρ1	ρ1	NOUN
ejpam-6281	391	12	(	(	PUNCT
ejpam-6281	391	13	δγ28	δγ28	PROPN
ejpam-6281	391	14	−	−	PROPN
ejpam-6281	391	15	2(1	2(1	NUM
ejpam-6281	391	16	+	+	CCONJ
ejpam-6281	391	17	χδ)γ18)]−	χδ)γ18)]−	ADJ
ejpam-6281	391	18	t	t	PROPN
ejpam-6281	391	19	6nρ1	6nρ1	NUM
ejpam-6281	391	20	a	a	DET
ejpam-6281	391	21	(	(	PUNCT
ejpam-6281	391	22	0)2	0)2	NUM
ejpam-6281	391	23	3	3	NUM
ejpam-6281	391	24	t0γ28	t0γ28	NOUN
ejpam-6281	391	25	+	+	ADV
ejpam-6281	391	26	a	a	DET
ejpam-6281	391	27	(	(	PUNCT
ejpam-6281	391	28	0	0	NUM
ejpam-6281	391	29	)	)	PUNCT
ejpam-6281	391	30	3	3	NUM
ejpam-6281	391	31	t0[γ45	t0[γ45	PROPN
ejpam-6281	391	32	−	−	PROPN
ejpam-6281	391	33	γ38	γ38	PROPN
ejpam-6281	391	34	−	−	PROPN
ejpam-6281	391	35	λ́2r10	λ́2r10	PROPN
ejpam-6281	391	36	ρ1	ρ1	NOUN
ejpam-6281	391	37	(	(	PUNCT
ejpam-6281	391	38	δγ28	δγ28	PROPN
ejpam-6281	391	39	−	−	PROPN
ejpam-6281	391	40	(	(	PUNCT
ejpam-6281	391	41	1	1	NUM
ejpam-6281	391	42	+	+	NUM
ejpam-6281	391	43	χδ	χδ	NOUN
ejpam-6281	391	44	)	)	PUNCT
ejpam-6281	391	45	)	)	PUNCT
ejpam-6281	391	46	]	]	PUNCT
ejpam-6281	391	47	}	}	PUNCT
ejpam-6281	391	48	sin(ρ1n−1	sin(ρ1n−1	PROPN
ejpam-6281	391	49	t	t	PROPN
ejpam-6281	391	50	)	)	PUNCT
ejpam-6281	392	1	+	+	NUM
ejpam-6281	392	2	χ	χ	DET
ejpam-6281	392	3	6ρ2	6ρ2	NUM
ejpam-6281	393	1	[	[	X
ejpam-6281	393	2	a	a	X
ejpam-6281	393	3	(	(	PUNCT
ejpam-6281	393	4	0)2	0)2	SYM
ejpam-6281	393	5	3	3	NUM
ejpam-6281	393	6	γ65	γ65	ADJ
ejpam-6281	393	7	×	×	NOUN
ejpam-6281	393	8	cos(2ρ2n	cos(2ρ2n	PUNCT
ejpam-6281	393	9	−1t)−	−1t)−	NOUN
ejpam-6281	393	10	3γ68	3γ68	NUM
ejpam-6281	393	11	sin(2ρ2n	sin(2ρ2n	PUNCT
ejpam-6281	393	12	−1	−1	NOUN
ejpam-6281	393	13	t	t	PROPN
ejpam-6281	393	14	)	)	PUNCT
ejpam-6281	393	15	]	]	PUNCT
ejpam-6281	394	1	+	+	CCONJ
ejpam-6281	394	2	χ	χ	X
ejpam-6281	394	3	6ρ1	6ρ1	NUM
ejpam-6281	394	4	a	a	DET
ejpam-6281	394	5	(	(	PUNCT
ejpam-6281	394	6	0)2	0)2	NUM
ejpam-6281	394	7	3	3	NUM
ejpam-6281	394	8	γ28	γ28	NOUN
ejpam-6281	394	9	sin(2ρ1n	sin(2ρ1n	PROPN
ejpam-6281	394	10	−1t)}+	−1t)}+	PROPN
ejpam-6281	394	11	....	....	PUNCT
ejpam-6281	394	12	,	,	PUNCT
ejpam-6281	394	13	t.	t.	PROPN
ejpam-6281	394	14	s.	s.	PROPN
ejpam-6281	394	15	amer	amer	PROPN
ejpam-6281	394	16	et	et	PROPN
ejpam-6281	394	17	al	al	PROPN
ejpam-6281	394	18	.	.	PUNCT
ejpam-6281	394	19	/	/	SYM
ejpam-6281	394	20	eur	eur	PROPN
ejpam-6281	394	21	.	.	PUNCT
ejpam-6281	395	1	j.	j.	PROPN
ejpam-6281	395	2	pure	pure	PROPN
ejpam-6281	395	3	appl	appl	PROPN
ejpam-6281	395	4	.	.	PROPN
ejpam-6281	395	5	math	math	PROPN
ejpam-6281	395	6	,	,	PUNCT
ejpam-6281	395	7	18	18	NUM
ejpam-6281	395	8	(	(	PUNCT
ejpam-6281	395	9	3	3	NUM
ejpam-6281	395	10	)	)	PUNCT
ejpam-6281	395	11	(	(	PUNCT
ejpam-6281	395	12	2025	2025	NUM
ejpam-6281	395	13	)	)	PUNCT
ejpam-6281	395	14	,	,	PUNCT
ejpam-6281	395	15	6281	6281	NUM
ejpam-6281	395	16	16	16	NUM
ejpam-6281	395	17	of	of	ADP
ejpam-6281	395	18	35	35	NUM
ejpam-6281	395	19	q	q	NOUN
ejpam-6281	395	20	=	=	SYM
ejpam-6281	395	21	−ε−1/2n−1{χ	−ε−1/2n−1{χ	PROPN
ejpam-6281	395	22	[	[	PUNCT
ejpam-6281	395	23	δλ́2r10	δλ́2r10	NOUN
ejpam-6281	395	24	ρ2	ρ2	NOUN
ejpam-6281	395	25	+	+	PROPN
ejpam-6281	395	26	a	a	DET
ejpam-6281	395	27	(	(	PUNCT
ejpam-6281	395	28	0	0	NUM
ejpam-6281	395	29	)	)	PUNCT
ejpam-6281	395	30	3	3	NUM
ejpam-6281	395	31	sin(ρ2n	sin(ρ2n	PROPN
ejpam-6281	395	32	−1t)]−	−1t)]−	PROPN
ejpam-6281	395	33	λ́2r10	λ́2r10	PROPN
ejpam-6281	395	34	ρ1	ρ1	NOUN
ejpam-6281	395	35	(	(	PUNCT
ejpam-6281	395	36	1	1	NUM
ejpam-6281	395	37	+	+	CCONJ
ejpam-6281	395	38	χδ)}+	χδ)}+	NOUN
ejpam-6281	395	39	ε−3/2n−1{−	ε−3/2n−1{−	ADJ
ejpam-6281	395	40	1	1	NUM
ejpam-6281	395	41	ρ2	ρ2	NOUN
ejpam-6281	395	42	{	{	PUNCT
ejpam-6281	395	43	χ[2δλ́2r10µ0	χ[2δλ́2r10µ0	NOUN
ejpam-6281	395	44	−	−	PROPN
ejpam-6281	395	45	γ71	γ71	NOUN
ejpam-6281	395	46	+	+	CCONJ
ejpam-6281	395	47	λ́2r10	λ́2r10	X
ejpam-6281	395	48	ρ2	ρ2	NOUN
ejpam-6281	395	49	[	[	X
ejpam-6281	395	50	δ(γ61	δ(γ61	ADV
ejpam-6281	395	51	+	+	X
ejpam-6281	395	52	γ63a	γ63a	NUM
ejpam-6281	395	53	(	(	PUNCT
ejpam-6281	395	54	0)2	0)2	NOUN
ejpam-6281	395	55	3	3	NUM
ejpam-6281	395	56	)	)	PUNCT
ejpam-6281	395	57	−	−	PROPN
ejpam-6281	395	58	(	(	PUNCT
ejpam-6281	395	59	1	1	NUM
ejpam-6281	395	60	+	+	NUM
ejpam-6281	395	61	χδ)(γ51	χδ)(γ51	X
ejpam-6281	396	1	+	+	CCONJ
ejpam-6281	396	2	γ53a	γ53a	PUNCT
ejpam-6281	396	3	(	(	PUNCT
ejpam-6281	396	4	0)2	0)2	NOUN
ejpam-6281	396	5	3	3	NUM
ejpam-6281	396	6	)	)	PUNCT
ejpam-6281	396	7	]	]	PUNCT
ejpam-6281	397	1	+1	+1	PROPN
ejpam-6281	397	2	2a	2a	NUM
ejpam-6281	397	3	(	(	PUNCT
ejpam-6281	397	4	0)2	0)2	NUM
ejpam-6281	397	5	3	3	NUM
ejpam-6281	397	6	(	(	PUNCT
ejpam-6281	397	7	γ68	γ68	PROPN
ejpam-6281	397	8	−	−	PROPN
ejpam-6281	397	9	2γ73	2γ73	NUM
ejpam-6281	397	10	)	)	PUNCT
ejpam-6281	397	11	]	]	PUNCT
ejpam-6281	398	1	+	+	CCONJ
ejpam-6281	398	2	1	1	NUM
ejpam-6281	398	3	ρ1	ρ1	NOUN
ejpam-6281	398	4	[	[	X
ejpam-6281	398	5	−2(1	−2(1	NOUN
ejpam-6281	398	6	+	+	CCONJ
ejpam-6281	398	7	χδ)λ́2r10µ0	χδ)λ́2r10µ0	ADJ
ejpam-6281	398	8	−	−	NOUN
ejpam-6281	398	9	γ31	γ31	NOUN
ejpam-6281	398	10	+	+	CCONJ
ejpam-6281	398	11	1	1	NUM
ejpam-6281	398	12	2a	2a	NUM
ejpam-6281	398	13	(	(	PUNCT
ejpam-6281	398	14	0)2	0)2	NUM
ejpam-6281	398	15	3	3	NUM
ejpam-6281	398	16	(	(	PUNCT
ejpam-6281	398	17	γ28	γ28	VERB
ejpam-6281	398	18	−	−	PROPN
ejpam-6281	398	19	2γ33	2γ33	NUM
ejpam-6281	398	20	)	)	PUNCT
ejpam-6281	398	21	]	]	PUNCT
ejpam-6281	399	1	−	−	PROPN
ejpam-6281	399	2	λ́2r10	λ́2r10	SYM
ejpam-6281	400	1	ρ1	ρ1	NOUN
ejpam-6281	400	2	[	[	X
ejpam-6281	400	3	δ(γ21	δ(γ21	NOUN
ejpam-6281	400	4	+	+	NOUN
ejpam-6281	400	5	γ23a	γ23a	NOUN
ejpam-6281	400	6	(	(	PUNCT
ejpam-6281	400	7	0)2	0)2	NUM
ejpam-6281	400	8	3	3	NUM
ejpam-6281	400	9	)	)	PUNCT
ejpam-6281	400	10	−	−	PROPN
ejpam-6281	401	1	(	(	PUNCT
ejpam-6281	401	2	1	1	NUM
ejpam-6281	401	3	+	+	NUM
ejpam-6281	401	4	χδ)(γ11	χδ)(γ11	X
ejpam-6281	401	5	+	+	CCONJ
ejpam-6281	401	6	γ13a	γ13a	PUNCT
ejpam-6281	401	7	(	(	PUNCT
ejpam-6281	401	8	0)2	0)2	NUM
ejpam-6281	401	9	3	3	NUM
ejpam-6281	401	10	)	)	PUNCT
ejpam-6281	401	11	]	]	PUNCT
ejpam-6281	401	12	}	}	PUNCT
ejpam-6281	401	13	+	+	CCONJ
ejpam-6281	401	14	χ{−	χ{−	NOUN
ejpam-6281	401	15	t	t	NOUN
ejpam-6281	401	16	2na	2na	NOUN
ejpam-6281	401	17	(	(	PUNCT
ejpam-6281	401	18	0	0	NUM
ejpam-6281	401	19	)	)	PUNCT
ejpam-6281	401	20	3	3	NUM
ejpam-6281	401	21	[	[	PUNCT
ejpam-6281	401	22	γ85	γ85	ADJ
ejpam-6281	401	23	+	+	CCONJ
ejpam-6281	401	24	γ78	γ78	NOUN
ejpam-6281	401	25	−4ρ2µ0	−4ρ2µ0	NOUN
ejpam-6281	401	26	−	−	PROPN
ejpam-6281	401	27	2(γ61	2(γ61	NUM
ejpam-6281	401	28	+	+	CCONJ
ejpam-6281	401	29	γ63a	γ63a	VERB
ejpam-6281	401	30	(	(	PUNCT
ejpam-6281	401	31	0)2	0)2	NOUN
ejpam-6281	401	32	3	3	NUM
ejpam-6281	401	33	)	)	PUNCT
ejpam-6281	402	1	+	+	NUM
ejpam-6281	402	2	λ́2r10	λ́2r10	AUX
ejpam-6281	402	3	ρ2	ρ2	NOUN
ejpam-6281	402	4	[	[	PUNCT
ejpam-6281	402	5	δ(γ65	δ(γ65	ADJ
ejpam-6281	402	6	−	−	NUM
ejpam-6281	402	7	2γ68	2γ68	NUM
ejpam-6281	402	8	)	)	PUNCT
ejpam-6281	403	1	+	+	CCONJ
ejpam-6281	403	2	(	(	PUNCT
ejpam-6281	403	3	1	1	NUM
ejpam-6281	403	4	+	+	NUM
ejpam-6281	403	5	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	403	6	]	]	X
ejpam-6281	403	7	]	]	PUNCT
ejpam-6281	404	1	+	+	CCONJ
ejpam-6281	404	2	1	1	NUM
ejpam-6281	404	3	ρ2	ρ2	NOUN
ejpam-6281	405	1	[	[	X
ejpam-6281	405	2	δλ́2r10µ0	δλ́2r10µ0	NOUN
ejpam-6281	405	3	−(γ71	−(γ71	X
ejpam-6281	405	4	+	+	X
ejpam-6281	405	5	γ73a	γ73a	ADJ
ejpam-6281	405	6	(	(	PUNCT
ejpam-6281	405	7	0)2	0)2	NUM
ejpam-6281	405	8	3	3	NUM
ejpam-6281	405	9	)	)	PUNCT
ejpam-6281	405	10	+	+	NUM
ejpam-6281	405	11	λ́2r10	λ́2r10	AUX
ejpam-6281	405	12	ρ2	ρ2	NOUN
ejpam-6281	405	13	[	[	X
ejpam-6281	405	14	δ(γ61	δ(γ61	ADV
ejpam-6281	405	15	+	+	X
ejpam-6281	405	16	γ63a	γ63a	NUM
ejpam-6281	405	17	(	(	PUNCT
ejpam-6281	405	18	0)2	0)2	NOUN
ejpam-6281	405	19	3	3	NUM
ejpam-6281	405	20	)	)	PUNCT
ejpam-6281	405	21	−	−	PROPN
ejpam-6281	406	1	(	(	PUNCT
ejpam-6281	406	2	1	1	NUM
ejpam-6281	406	3	+	+	NUM
ejpam-6281	406	4	χδ)(γ51	χδ)(γ51	X
ejpam-6281	407	1	+	+	CCONJ
ejpam-6281	408	1	γ53a	γ53a	PUNCT
ejpam-6281	409	1	(	(	PUNCT
ejpam-6281	409	2	0)2	0)2	NOUN
ejpam-6281	409	3	3	3	NUM
ejpam-6281	409	4	)	)	PUNCT
ejpam-6281	409	5	]	]	X
ejpam-6281	409	6	]	]	X
ejpam-6281	409	7	}	}	PUNCT
ejpam-6281	409	8	×	×	NOUN
ejpam-6281	409	9	cos(ρ2n	cos(ρ2n	PROPN
ejpam-6281	409	10	−1	−1	NOUN
ejpam-6281	409	11	t	t	PROPN
ejpam-6281	409	12	)	)	PUNCT
ejpam-6281	410	1	+	+	CCONJ
ejpam-6281	410	2	χ	χ	DET
ejpam-6281	410	3	2a	2a	NUM
ejpam-6281	410	4	(	(	PUNCT
ejpam-6281	410	5	0	0	NUM
ejpam-6281	410	6	)	)	PUNCT
ejpam-6281	410	7	3	3	NUM
ejpam-6281	410	8	{	{	PUNCT
ejpam-6281	410	9	t	t	PROPN
ejpam-6281	410	10	n	n	CCONJ
ejpam-6281	410	11	[	[	X
ejpam-6281	410	12	γ88	γ88	INTJ
ejpam-6281	410	13	−	−	NOUN
ejpam-6281	410	14	γ75	γ75	NOUN
ejpam-6281	410	15	+	+	CCONJ
ejpam-6281	410	16	λ́2r10	λ́2r10	X
ejpam-6281	410	17	ρ2	ρ2	NOUN
ejpam-6281	410	18	[	[	X
ejpam-6281	410	19	δγ65	δγ65	PROPN
ejpam-6281	410	20	−	−	PROPN
ejpam-6281	410	21	(	(	PUNCT
ejpam-6281	410	22	1	1	NUM
ejpam-6281	410	23	+	+	CCONJ
ejpam-6281	410	24	χδ)γ55]]−	χδ)γ55]]−	ADJ
ejpam-6281	410	25	2	2	NUM
ejpam-6281	410	26	ρ2	ρ2	NOUN
ejpam-6281	410	27	γ65a	γ65a	SYM
ejpam-6281	410	28	(	(	PUNCT
ejpam-6281	410	29	0	0	NUM
ejpam-6281	410	30	)	)	PUNCT
ejpam-6281	410	31	3	3	NUM
ejpam-6281	410	32	+	+	SYM
ejpam-6281	410	33	1	1	NUM
ejpam-6281	410	34	ρ2	ρ2	NOUN
ejpam-6281	410	35	[	[	PUNCT
ejpam-6281	410	36	γ85	γ85	ADJ
ejpam-6281	410	37	+	+	CCONJ
ejpam-6281	410	38	γ78	γ78	NOUN
ejpam-6281	410	39	−	−	PROPN
ejpam-6281	410	40	4ρ2µ0	4ρ2µ0	NOUN
ejpam-6281	410	41	−	−	PROPN
ejpam-6281	410	42	2(γ61	2(γ61	NUM
ejpam-6281	410	43	+	+	CCONJ
ejpam-6281	410	44	γ63a	γ63a	VERB
ejpam-6281	410	45	(	(	PUNCT
ejpam-6281	410	46	0)2	0)2	NOUN
ejpam-6281	410	47	3	3	NUM
ejpam-6281	410	48	)	)	PUNCT
ejpam-6281	411	1	+	+	NUM
ejpam-6281	411	2	λ́2r10	λ́2r10	AUX
ejpam-6281	411	3	ρ2	ρ2	NOUN
ejpam-6281	411	4	[	[	PUNCT
ejpam-6281	411	5	δ(γ65	δ(γ65	ADJ
ejpam-6281	411	6	−	−	NUM
ejpam-6281	411	7	2γ68	2γ68	NUM
ejpam-6281	411	8	)	)	PUNCT
ejpam-6281	412	1	+	+	CCONJ
ejpam-6281	412	2	(	(	PUNCT
ejpam-6281	412	3	1	1	NUM
ejpam-6281	412	4	+	+	NUM
ejpam-6281	412	5	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	412	6	]	]	NOUN
ejpam-6281	412	7	]	]	PUNCT
ejpam-6281	412	8	}	}	PUNCT
ejpam-6281	412	9	×	×	NOUN
ejpam-6281	412	10	sin(ρ2n	sin(ρ2n	PROPN
ejpam-6281	412	11	−1	−1	NOUN
ejpam-6281	412	12	t	t	NOUN
ejpam-6281	412	13	)	)	PUNCT
ejpam-6281	413	1	+	+	NUM
ejpam-6281	413	2	χ	χ	X
ejpam-6281	413	3	2ρ2	2ρ2	NUM
ejpam-6281	413	4	a	a	DET
ejpam-6281	413	5	(	(	PUNCT
ejpam-6281	413	6	0)2	0)2	NUM
ejpam-6281	413	7	3	3	NUM
ejpam-6281	413	8	[	[	NOUN
ejpam-6281	413	9	γ68	γ68	NOUN
ejpam-6281	413	10	cos(2ρ2n	cos(2ρ2n	PUNCT
ejpam-6281	413	11	−1	−1	NOUN
ejpam-6281	413	12	t	t	PROPN
ejpam-6281	413	13	)	)	PUNCT
ejpam-6281	413	14	+	+	CCONJ
ejpam-6281	413	15	γ65	γ65	ADJ
ejpam-6281	413	16	sin(2ρ2n	sin(2ρ2n	PUNCT
ejpam-6281	413	17	−1	−1	NOUN
ejpam-6281	413	18	t	t	PROPN
ejpam-6281	413	19	)	)	PUNCT
ejpam-6281	413	20	]	]	PUNCT
ejpam-6281	414	1	+	+	CCONJ
ejpam-6281	414	2	t0	t0	NOUN
ejpam-6281	414	3	4	4	NUM
ejpam-6281	414	4	a	a	DET
ejpam-6281	414	5	(	(	PUNCT
ejpam-6281	414	6	0	0	NUM
ejpam-6281	414	7	)	)	PUNCT
ejpam-6281	414	8	3	3	NUM
ejpam-6281	414	9	{	{	PUNCT
ejpam-6281	414	10	(	(	PUNCT
ejpam-6281	414	11	2	2	NUM
ejpam-6281	414	12	×	×	NOUN
ejpam-6281	414	13	csc2	csc2	NOUN
ejpam-6281	414	14	ρ1	ρ1	NOUN
ejpam-6281	414	15	2	2	NUM
ejpam-6281	414	16	t0	t0	NOUN
ejpam-6281	414	17	−	−	NOUN
ejpam-6281	414	18	1)[γ48	1)[γ48	NUM
ejpam-6281	414	19	+	+	NUM
ejpam-6281	414	20	γ35	γ35	NOUN
ejpam-6281	414	21	+	+	CCONJ
ejpam-6281	414	22	λ́2r10	λ́2r10	NOUN
ejpam-6281	414	23	ρ1	ρ1	NOUN
ejpam-6281	414	24	(	(	PUNCT
ejpam-6281	414	25	δγ25	δγ25	PROPN
ejpam-6281	414	26	−	−	PROPN
ejpam-6281	414	27	(	(	PUNCT
ejpam-6281	414	28	1	1	NUM
ejpam-6281	414	29	+	+	NUM
ejpam-6281	414	30	χδ)γ15)]−	χδ)γ15)]−	NOUN
ejpam-6281	414	31	t0	t0	PROPN
ejpam-6281	414	32	2	2	NUM
ejpam-6281	414	33	a	a	DET
ejpam-6281	414	34	(	(	PUNCT
ejpam-6281	414	35	0	0	NUM
ejpam-6281	414	36	)	)	PUNCT
ejpam-6281	414	37	3	3	NUM
ejpam-6281	414	38	[	[	X
ejpam-6281	414	39	γ45	γ45	NOUN
ejpam-6281	414	40	−	−	PROPN
ejpam-6281	414	41	γ18	γ18	PROPN
ejpam-6281	414	42	+	+	CCONJ
ejpam-6281	414	43	λ́2r10	λ́2r10	PROPN
ejpam-6281	414	44	ρ1	ρ1	NOUN
ejpam-6281	414	45	(	(	PUNCT
ejpam-6281	414	46	δγ28	δγ28	PROPN
ejpam-6281	414	47	−	−	PROPN
ejpam-6281	414	48	2(1	2(1	NUM
ejpam-6281	414	49	+	+	CCONJ
ejpam-6281	414	50	χδ)γ18)]−	χδ)γ18)]−	ADJ
ejpam-6281	414	51	1	1	NUM
ejpam-6281	414	52	2ρ1	2ρ1	NUM
ejpam-6281	414	53	[	[	X
ejpam-6281	414	54	γ18	γ18	NOUN
ejpam-6281	414	55	−	−	PROPN
ejpam-6281	414	56	γ45	γ45	NOUN
ejpam-6281	414	57	+	+	CCONJ
ejpam-6281	414	58	λ́2r10	λ́2r10	X
ejpam-6281	414	59	ρ1	ρ1	NOUN
ejpam-6281	414	60	(	(	PUNCT
ejpam-6281	414	61	δγ28	δγ28	PROPN
ejpam-6281	414	62	+	+	CCONJ
ejpam-6281	414	63	2(1	2(1	NUM
ejpam-6281	414	64	+	+	NUM
ejpam-6281	414	65	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	414	66	)	)	PUNCT
ejpam-6281	414	67	]	]	PUNCT
ejpam-6281	415	1	−	−	PROPN
ejpam-6281	415	2	1	1	NUM
ejpam-6281	415	3	3ρ1	3ρ1	NUM
ejpam-6281	415	4	γ25a	γ25a	NOUN
ejpam-6281	415	5	(	(	PUNCT
ejpam-6281	415	6	0	0	NUM
ejpam-6281	415	7	)	)	PUNCT
ejpam-6281	415	8	3	3	NUM
ejpam-6281	416	1	+	+	NUM
ejpam-6281	416	2	t	t	X
ejpam-6281	416	3	2n	2n	NUM
ejpam-6281	417	1	[	[	X
ejpam-6281	417	2	γ15	γ15	X
ejpam-6281	417	3	+	+	NUM
ejpam-6281	417	4	γ18	γ18	NOUN
ejpam-6281	417	5	+	+	CCONJ
ejpam-6281	417	6	λ́2r10	λ́2r10	PROPN
ejpam-6281	417	7	ρ1	ρ1	NOUN
ejpam-6281	417	8	(	(	PUNCT
ejpam-6281	417	9	δγ25	δγ25	PROPN
ejpam-6281	417	10	+	+	NUM
ejpam-6281	417	11	2(1	2(1	NUM
ejpam-6281	417	12	+	+	CCONJ
ejpam-6281	417	13	χδ)γ15	χδ)γ15	NUM
ejpam-6281	417	14	)	)	PUNCT
ejpam-6281	417	15	]	]	PUNCT
ejpam-6281	417	16	}	}	PUNCT
ejpam-6281	417	17	sin(2ρ1n−1	sin(2ρ1n−1	PROPN
ejpam-6281	417	18	t	t	PROPN
ejpam-6281	417	19	)	)	PUNCT
ejpam-6281	418	1	+	+	PROPN
ejpam-6281	418	2	{	{	PUNCT
ejpam-6281	418	3	−t0	−t0	VERB
ejpam-6281	418	4	4	4	NUM
ejpam-6281	418	5	a	a	DET
ejpam-6281	418	6	(	(	PUNCT
ejpam-6281	418	7	0	0	NUM
ejpam-6281	418	8	)	)	PUNCT
ejpam-6281	418	9	3	3	NUM
ejpam-6281	418	10	cot(ρ12	cot(ρ12	PROPN
ejpam-6281	418	11	t0)[γ48	t0)[γ48	ADJ
ejpam-6281	418	12	+	+	NOUN
ejpam-6281	418	13	γ35	γ35	NOUN
ejpam-6281	418	14	+	+	CCONJ
ejpam-6281	418	15	λ́2r10	λ́2r10	NOUN
ejpam-6281	418	16	ρ1	ρ1	NOUN
ejpam-6281	418	17	(	(	PUNCT
ejpam-6281	418	18	δγ25	δγ25	PROPN
ejpam-6281	418	19	−	−	PROPN
ejpam-6281	418	20	(	(	PUNCT
ejpam-6281	418	21	1	1	NUM
ejpam-6281	418	22	+	+	NUM
ejpam-6281	418	23	χδ)γ15	χδ)γ15	NUM
ejpam-6281	418	24	)	)	PUNCT
ejpam-6281	418	25	]	]	PUNCT
ejpam-6281	419	1	+	+	CCONJ
ejpam-6281	419	2	1	1	NUM
ejpam-6281	419	3	2a	2a	NUM
ejpam-6281	419	4	(	(	PUNCT
ejpam-6281	419	5	0)2	0)2	PROPN
ejpam-6281	419	6	3	3	NUM
ejpam-6281	419	7	t0[γ45	t0[γ45	NOUN
ejpam-6281	419	8	−γ18	−γ18	PROPN
ejpam-6281	419	9	+	+	NUM
ejpam-6281	419	10	λ́2r10	λ́2r10	X
ejpam-6281	419	11	ρ1	ρ1	NOUN
ejpam-6281	419	12	(	(	PUNCT
ejpam-6281	419	13	δγ28	δγ28	PROPN
ejpam-6281	419	14	−	−	PROPN
ejpam-6281	419	15	2(1	2(1	NUM
ejpam-6281	419	16	+	+	CCONJ
ejpam-6281	419	17	χδ)γ18)]−	χδ)γ18)]−	ADJ
ejpam-6281	419	18	1	1	NUM
ejpam-6281	419	19	ρ2	ρ2	NOUN
ejpam-6281	419	20	[	[	X
ejpam-6281	419	21	−2(1	−2(1	NOUN
ejpam-6281	419	22	+	+	CCONJ
ejpam-6281	419	23	χδ)λ́2r10µ0	χδ)λ́2r10µ0	ADJ
ejpam-6281	419	24	+	+	CCONJ
ejpam-6281	419	25	1	1	NUM
ejpam-6281	419	26	2γ28a	2γ28a	NUM
ejpam-6281	419	27	(	(	PUNCT
ejpam-6281	419	28	0)2	0)2	NUM
ejpam-6281	419	29	3	3	NUM
ejpam-6281	419	30	−(γ31	−(γ31	X
ejpam-6281	419	31	+	+	X
ejpam-6281	419	32	γ33a	γ33a	PROPN
ejpam-6281	419	33	(	(	PUNCT
ejpam-6281	419	34	0)2	0)2	NOUN
ejpam-6281	419	35	3	3	NUM
ejpam-6281	419	36	)	)	PUNCT
ejpam-6281	419	37	]	]	PUNCT
ejpam-6281	419	38	−	−	PROPN
ejpam-6281	419	39	λ́2r10	λ́2r10	SYM
ejpam-6281	419	40	ρ1	ρ1	NOUN
ejpam-6281	419	41	[	[	X
ejpam-6281	419	42	δ(γ21	δ(γ21	NOUN
ejpam-6281	419	43	+	+	NOUN
ejpam-6281	419	44	γ23a	γ23a	NOUN
ejpam-6281	419	45	(	(	PUNCT
ejpam-6281	419	46	0)2	0)2	NUM
ejpam-6281	419	47	3	3	NUM
ejpam-6281	419	48	)	)	PUNCT
ejpam-6281	419	49	−	−	PROPN
ejpam-6281	419	50	(	(	PUNCT
ejpam-6281	419	51	1	1	NUM
ejpam-6281	419	52	+	+	NUM
ejpam-6281	419	53	χδ)(γ11	χδ)(γ11	X
ejpam-6281	419	54	+	+	CCONJ
ejpam-6281	419	55	γ13a	γ13a	PUNCT
ejpam-6281	419	56	(	(	PUNCT
ejpam-6281	419	57	0)2	0)2	NOUN
ejpam-6281	419	58	3	3	NUM
ejpam-6281	419	59	)	)	PUNCT
ejpam-6281	419	60	]	]	PUNCT
ejpam-6281	420	1	+	+	CCONJ
ejpam-6281	420	2	t	t	PROPN
ejpam-6281	420	3	2na	2na	NOUN
ejpam-6281	420	4	(	(	PUNCT
ejpam-6281	420	5	0	0	NUM
ejpam-6281	420	6	)	)	PUNCT
ejpam-6281	420	7	3	3	NUM
ejpam-6281	421	1	[	[	X
ejpam-6281	421	2	γ18	γ18	NUM
ejpam-6281	421	3	−	−	PROPN
ejpam-6281	421	4	γ45	γ45	NOUN
ejpam-6281	421	5	+	+	CCONJ
ejpam-6281	421	6	λ́2r10	λ́2r10	X
ejpam-6281	421	7	ρ1	ρ1	NOUN
ejpam-6281	421	8	(	(	PUNCT
ejpam-6281	421	9	δγ28	δγ28	PROPN
ejpam-6281	421	10	+	+	CCONJ
ejpam-6281	421	11	2(1	2(1	NUM
ejpam-6281	421	12	+	+	NUM
ejpam-6281	421	13	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	421	14	)	)	PUNCT
ejpam-6281	421	15	]	]	PUNCT
ejpam-6281	422	1	+	+	CCONJ
ejpam-6281	423	1	1	1	NUM
ejpam-6281	423	2	6ρ1	6ρ1	NUM
ejpam-6281	423	3	γ28a	γ28a	NUM
ejpam-6281	423	4	(	(	PUNCT
ejpam-6281	423	5	0)2	0)2	NUM
ejpam-6281	423	6	3	3	NUM
ejpam-6281	423	7	)	)	PUNCT
ejpam-6281	423	8	}	}	PUNCT
ejpam-6281	423	9	cos(ρ1n−1	cos(ρ1n−1	PROPN
ejpam-6281	423	10	t	t	PROPN
ejpam-6281	423	11	)	)	PUNCT
ejpam-6281	423	12	+	+	CCONJ
ejpam-6281	423	13	1	1	NUM
ejpam-6281	423	14	6ρ1	6ρ1	NUM
ejpam-6281	423	15	a	a	DET
ejpam-6281	423	16	(	(	PUNCT
ejpam-6281	423	17	0)2	0)2	NUM
ejpam-6281	423	18	3	3	NUM
ejpam-6281	423	19	[	[	X
ejpam-6281	423	20	γ25	γ25	NOUN
ejpam-6281	423	21	sin(2ρ1n	sin(2ρ1n	NUM
ejpam-6281	423	22	−1t)−	−1t)−	PROPN
ejpam-6281	423	23	γ28	γ28	NOUN
ejpam-6281	423	24	cos(2ρ1n	cos(2ρ1n	VERB
ejpam-6281	423	25	−1t)]}+	−1t)]}+	ADV
ejpam-6281	423	26	...	...	PUNCT
ejpam-6281	423	27	,	,	PUNCT
ejpam-6281	423	28	r	r	NOUN
ejpam-6281	423	29	=	=	SYM
ejpam-6281	423	30	r0	r0	NOUN
ejpam-6281	423	31	n	n	CCONJ
ejpam-6281	423	32	−	−	PROPN
ejpam-6281	423	33	ε−1	ε−1	PROPN
ejpam-6281	423	34	nbr10	nbr10	PROPN
ejpam-6281	423	35	a	a	DET
ejpam-6281	423	36	(	(	PUNCT
ejpam-6281	423	37	0	0	NUM
ejpam-6281	423	38	)	)	PUNCT
ejpam-6281	423	39	3	3	NUM
ejpam-6281	423	40	{	{	PUNCT
ejpam-6281	423	41	[	[	X
ejpam-6281	423	42	(	(	PUNCT
ejpam-6281	423	43	1	1	NUM
ejpam-6281	423	44	+	+	CCONJ
ejpam-6281	424	1	χδ)(d2	χδ)(d2	AUX
ejpam-6281	424	2	−	−	NUM
ejpam-6281	424	3	1	1	NUM
ejpam-6281	424	4	)	)	PUNCT
ejpam-6281	424	5	+	+	CCONJ
ejpam-6281	424	6	χd1](cos(ρ2n	χd1](cos(ρ2n	PUNCT
ejpam-6281	424	7	−1t)−	−1t)−	PROPN
ejpam-6281	424	8	1	1	NUM
ejpam-6281	424	9	)	)	PUNCT
ejpam-6281	424	10	+	+	X
ejpam-6281	424	11	λ́2r10	λ́2r10	PUNCT
ejpam-6281	424	12	ρ1ρ2	ρ1ρ2	VERB
ejpam-6281	424	13	[	[	X
ejpam-6281	424	14	δ(ρ1	δ(ρ1	NOUN
ejpam-6281	424	15	+	+	CCONJ
ejpam-6281	424	16	ρ2)[χ	ρ2)[χ	NOUN
ejpam-6281	424	17	2	2	NUM
ejpam-6281	424	18	+	+	CCONJ
ejpam-6281	424	19	(	(	PUNCT
ejpam-6281	424	20	1	1	NUM
ejpam-6281	424	21	+	+	PUNCT
ejpam-6281	424	22	χδ)2	χδ)2	X
ejpam-6281	424	23	]	]	X
ejpam-6281	424	24	+	+	CCONJ
ejpam-6281	424	25	ρ2χ	ρ2χ	ADP
ejpam-6281	424	26	]	]	X
ejpam-6281	424	27	sin(ρ2n	sin(ρ2n	PROPN
ejpam-6281	424	28	−1t)}+	−1t)}+	PROPN
ejpam-6281	424	29	....	....	NOUN
ejpam-6281	424	30	,	,	PUNCT
ejpam-6281	424	31	α	α	X
ejpam-6281	424	32	=	=	PUNCT
ejpam-6281	424	33	ε−1/2[d2	ε−1/2[d2	PROPN
ejpam-6281	424	34	+	+	CCONJ
ejpam-6281	424	35	(	(	PUNCT
ejpam-6281	424	36	1	1	NUM
ejpam-6281	424	37	+	+	NUM
ejpam-6281	424	38	χδ)a	χδ)a	PROPN
ejpam-6281	424	39	(	(	PUNCT
ejpam-6281	424	40	0	0	NUM
ejpam-6281	424	41	)	)	PUNCT
ejpam-6281	424	42	3	3	NUM
ejpam-6281	424	43	cos(ρ2n	cos(ρ2n	PROPN
ejpam-6281	424	44	−1	−1	NOUN
ejpam-6281	424	45	t	t	PROPN
ejpam-6281	424	46	)	)	PUNCT
ejpam-6281	424	47	]	]	PUNCT
ejpam-6281	425	1	+	+	CCONJ
ejpam-6281	425	2	ε−3/2	ε−3/2	PROPN
ejpam-6281	425	3	{	{	PUNCT
ejpam-6281	425	4	(	(	PUNCT
ejpam-6281	425	5	1+χδ	1+χδ	NOUN
ejpam-6281	425	6	)	)	PUNCT
ejpam-6281	425	7	2ρ2	2ρ2	NUM
ejpam-6281	426	1	[	[	X
ejpam-6281	426	2	2γ81	2γ81	X
ejpam-6281	426	3	+	+	X
ejpam-6281	426	4	(	(	PUNCT
ejpam-6281	426	5	2γ83	2γ83	NUM
ejpam-6281	426	6	−	−	NOUN
ejpam-6281	426	7	γ65	γ65	ADJ
ejpam-6281	426	8	)	)	PUNCT
ejpam-6281	426	9	×a(0)2	×a(0)2	PROPN
ejpam-6281	426	10	3	3	NUM
ejpam-6281	426	11	]	]	PUNCT
ejpam-6281	427	1	+	+	CCONJ
ejpam-6281	427	2	δ	δ	X
ejpam-6281	427	3	2ρ1	2ρ1	NUM
ejpam-6281	427	4	[	[	X
ejpam-6281	427	5	2γ41	2γ41	NOUN
ejpam-6281	427	6	−	−	PROPN
ejpam-6281	427	7	γ27	γ27	NOUN
ejpam-6281	427	8	−	−	PROPN
ejpam-6281	427	9	γ18	γ18	PROPN
ejpam-6281	427	10	+	+	CCONJ
ejpam-6281	427	11	(	(	PUNCT
ejpam-6281	427	12	2γ43	2γ43	NUM
ejpam-6281	427	13	−	−	PROPN
ejpam-6281	427	14	γ25)a	γ25)a	PROPN
ejpam-6281	427	15	(	(	PUNCT
ejpam-6281	427	16	0)2	0)2	NUM
ejpam-6281	427	17	3	3	NUM
ejpam-6281	427	18	]	]	PUNCT
ejpam-6281	428	1	+	+	CCONJ
ejpam-6281	428	2	(	(	PUNCT
ejpam-6281	428	3	1	1	NUM
ejpam-6281	428	4	+	+	NUM
ejpam-6281	428	5	χδ	χδ	NOUN
ejpam-6281	428	6	)	)	PUNCT
ejpam-6281	428	7	{	{	PUNCT
ejpam-6281	428	8	t	t	PROPN
ejpam-6281	428	9	2na	2na	NOUN
ejpam-6281	428	10	(	(	PUNCT
ejpam-6281	428	11	0	0	NUM
ejpam-6281	428	12	)	)	SYM
ejpam-6281	428	13	3	3	NUM
ejpam-6281	428	14	×[γ88	×[γ88	NOUN
ejpam-6281	428	15	−	−	ADP
ejpam-6281	428	16	γ75	γ75	NOUN
ejpam-6281	428	17	+	+	CCONJ
ejpam-6281	428	18	λ́2r10	λ́2r10	X
ejpam-6281	428	19	ρ2	ρ2	NOUN
ejpam-6281	428	20	(	(	PUNCT
ejpam-6281	428	21	δγ65	δγ65	PROPN
ejpam-6281	428	22	−	−	PROPN
ejpam-6281	428	23	(	(	PUNCT
ejpam-6281	428	24	1	1	NUM
ejpam-6281	428	25	+	+	CCONJ
ejpam-6281	428	26	χδ)γ55)]−	χδ)γ55)]−	NOUN
ejpam-6281	428	27	1	1	NUM
ejpam-6281	428	28	2ρ2	2ρ2	NUM
ejpam-6281	429	1	[	[	X
ejpam-6281	429	2	2γ81	2γ81	X
ejpam-6281	429	3	+	+	X
ejpam-6281	429	4	(	(	PUNCT
ejpam-6281	429	5	2γ83	2γ83	NUM
ejpam-6281	429	6	−	−	PROPN
ejpam-6281	430	1	γ65)a	γ65)a	NOUN
ejpam-6281	430	2	(	(	PUNCT
ejpam-6281	430	3	0)2	0)2	NUM
ejpam-6281	430	4	3	3	NUM
ejpam-6281	430	5	]	]	PUNCT
ejpam-6281	430	6	−	−	PROPN
ejpam-6281	430	7	1	1	NUM
ejpam-6281	430	8	6ρ2	6ρ2	NUM
ejpam-6281	430	9	a	a	DET
ejpam-6281	430	10	(	(	PUNCT
ejpam-6281	430	11	0)2	0)2	PROPN
ejpam-6281	430	12	3	3	NUM
ejpam-6281	430	13	γ65	γ65	ADJ
ejpam-6281	430	14	}	}	PUNCT
ejpam-6281	430	15	cos(ρ2n−1	cos(ρ2n−1	PROPN
ejpam-6281	430	16	t	t	PROPN
ejpam-6281	430	17	)	)	PUNCT
ejpam-6281	430	18	+	+	CCONJ
ejpam-6281	430	19	(	(	PUNCT
ejpam-6281	430	20	1	1	NUM
ejpam-6281	430	21	+	+	NUM
ejpam-6281	430	22	χδ){−	χδ){−	NOUN
ejpam-6281	430	23	1	1	NUM
ejpam-6281	430	24	2ρ2	2ρ2	NUM
ejpam-6281	430	25	a	a	DET
ejpam-6281	430	26	(	(	PUNCT
ejpam-6281	430	27	0	0	NUM
ejpam-6281	430	28	)	)	PUNCT
ejpam-6281	430	29	3	3	NUM
ejpam-6281	430	30	[	[	X
ejpam-6281	430	31	γ88	γ88	INTJ
ejpam-6281	430	32	−	−	PROPN
ejpam-6281	430	33	γ75	γ75	NOUN
ejpam-6281	430	34	+	+	CCONJ
ejpam-6281	430	35	λ́2r10	λ́2r10	X
ejpam-6281	430	36	ρ2	ρ2	NOUN
ejpam-6281	430	37	(	(	PUNCT
ejpam-6281	430	38	δγ65	δγ65	PROPN
ejpam-6281	430	39	−(1	−(1	NOUN
ejpam-6281	430	40	+	+	CCONJ
ejpam-6281	430	41	χδ)γ55	χδ)γ55	NUM
ejpam-6281	430	42	)	)	PUNCT
ejpam-6281	430	43	]	]	PUNCT
ejpam-6281	431	1	+	+	CCONJ
ejpam-6281	431	2	t	t	PROPN
ejpam-6281	431	3	2na	2na	NOUN
ejpam-6281	431	4	(	(	PUNCT
ejpam-6281	431	5	0	0	NUM
ejpam-6281	431	6	)	)	PUNCT
ejpam-6281	431	7	3	3	NUM
ejpam-6281	431	8	[	[	PUNCT
ejpam-6281	431	9	γ85	γ85	ADJ
ejpam-6281	431	10	+	+	CCONJ
ejpam-6281	431	11	γ78	γ78	NOUN
ejpam-6281	431	12	−	−	PROPN
ejpam-6281	431	13	2ρ2µ0	2ρ2µ0	PROPN
ejpam-6281	431	14	−	−	PROPN
ejpam-6281	431	15	2(γ61	2(γ61	NUM
ejpam-6281	431	16	+	+	CCONJ
ejpam-6281	431	17	γ63a	γ63a	VERB
ejpam-6281	431	18	(	(	PUNCT
ejpam-6281	431	19	0)2	0)2	NUM
ejpam-6281	431	20	3	3	NUM
ejpam-6281	431	21	−	−	NOUN
ejpam-6281	431	22	λ́2r10	λ́2r10	SYM
ejpam-6281	431	23	ρ2	ρ2	NOUN
ejpam-6281	431	24	(	(	PUNCT
ejpam-6281	431	25	δγ68	δγ68	PROPN
ejpam-6281	431	26	−(1	−(1	NOUN
ejpam-6281	431	27	+	+	NUM
ejpam-6281	431	28	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	431	29	)	)	PUNCT
ejpam-6281	431	30	]	]	PUNCT
ejpam-6281	432	1	+	+	CCONJ
ejpam-6281	432	2	1	1	NUM
ejpam-6281	432	3	ρ2	ρ2	VERB
ejpam-6281	432	4	a	a	PRON
ejpam-6281	432	5	(	(	PUNCT
ejpam-6281	432	6	0)2	0)2	NUM
ejpam-6281	432	7	3	3	NUM
ejpam-6281	432	8	γ68	γ68	PROPN
ejpam-6281	432	9	}	}	PUNCT
ejpam-6281	432	10	sin(ρ2n−1	sin(ρ2n−1	PROPN
ejpam-6281	432	11	t	t	NUM
ejpam-6281	432	12	)	)	PUNCT
ejpam-6281	433	1	+	+	CCONJ
ejpam-6281	433	2	(	(	PUNCT
ejpam-6281	433	3	1+χδ	1+χδ	NUM
ejpam-6281	433	4	)	)	PUNCT
ejpam-6281	433	5	6ρ2	6ρ2	PROPN
ejpam-6281	433	6	a	a	PRON
ejpam-6281	433	7	(	(	PUNCT
ejpam-6281	433	8	0)2	0)2	NUM
ejpam-6281	433	9	3	3	NUM
ejpam-6281	433	10	[	[	X
ejpam-6281	433	11	γ65	γ65	NUM
ejpam-6281	433	12	cos(2ρ2n	cos(2ρ2n	PUNCT
ejpam-6281	433	13	−1	−1	NOUN
ejpam-6281	433	14	t	t	NOUN
ejpam-6281	433	15	)	)	PUNCT
ejpam-6281	433	16	−γ68	−γ68	X
ejpam-6281	433	17	sin(ρ2n	sin(ρ2n	PROPN
ejpam-6281	433	18	−1t)]−	−1t)]−	PROPN
ejpam-6281	433	19	{	{	PUNCT
ejpam-6281	433	20	t0δ	t0δ	NOUN
ejpam-6281	433	21	4	4	NUM
ejpam-6281	433	22	a	a	PRON
ejpam-6281	433	23	(	(	PUNCT
ejpam-6281	433	24	0	0	NUM
ejpam-6281	433	25	)	)	PUNCT
ejpam-6281	433	26	3	3	NUM
ejpam-6281	433	27	(	(	PUNCT
ejpam-6281	433	28	2	2	NUM
ejpam-6281	433	29	csc2	csc2	NOUN
ejpam-6281	433	30	ρ1	ρ1	NOUN
ejpam-6281	433	31	2	2	NUM
ejpam-6281	433	32	t0	t0	NOUN
ejpam-6281	433	33	−	−	NOUN
ejpam-6281	433	34	1)[γ48	1)[γ48	NUM
ejpam-6281	433	35	+	+	NUM
ejpam-6281	433	36	γ35	γ35	NOUN
ejpam-6281	433	37	+	+	CCONJ
ejpam-6281	433	38	λ́2r10	λ́2r10	NOUN
ejpam-6281	433	39	ρ1	ρ1	NOUN
ejpam-6281	433	40	(	(	PUNCT
ejpam-6281	433	41	δγ25	δγ25	PROPN
ejpam-6281	433	42	−(1	−(1	X
ejpam-6281	433	43	+	+	NUM
ejpam-6281	433	44	χδ)γ15)]−	χδ)γ15)]−	PROPN
ejpam-6281	433	45	t0	t0	PROPN
ejpam-6281	433	46	2	2	NUM
ejpam-6281	433	47	a	a	DET
ejpam-6281	433	48	(	(	PUNCT
ejpam-6281	433	49	0)2	0)2	NUM
ejpam-6281	433	50	3	3	NUM
ejpam-6281	433	51	[	[	X
ejpam-6281	433	52	γ45	γ45	NOUN
ejpam-6281	433	53	−	−	PROPN
ejpam-6281	433	54	γ18	γ18	PROPN
ejpam-6281	433	55	+	+	CCONJ
ejpam-6281	433	56	λ́2r10	λ́2r10	PROPN
ejpam-6281	433	57	ρ1	ρ1	NOUN
ejpam-6281	433	58	(	(	PUNCT
ejpam-6281	433	59	δγ28	δγ28	PROPN
ejpam-6281	433	60	−	−	PROPN
ejpam-6281	433	61	2(1	2(1	NUM
ejpam-6281	433	62	+	+	NUM
ejpam-6281	433	63	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	433	64	)	)	PUNCT
ejpam-6281	433	65	]	]	PUNCT
ejpam-6281	434	1	+	+	CCONJ
ejpam-6281	434	2	δ	δ	X
ejpam-6281	434	3	2	2	NUM
ejpam-6281	434	4	[	[	PUNCT
ejpam-6281	434	5	1	1	NUM
ejpam-6281	434	6	ρ1	ρ1	NOUN
ejpam-6281	434	7	(	(	PUNCT
ejpam-6281	434	8	2γ41	2γ41	NOUN
ejpam-6281	434	9	−γ27	−γ27	ADP
ejpam-6281	434	10	−	−	PROPN
ejpam-6281	434	11	γ18	γ18	PROPN
ejpam-6281	434	12	)	)	PUNCT
ejpam-6281	434	13	+	+	CCONJ
ejpam-6281	434	14	1	1	NUM
ejpam-6281	434	15	ρ1	ρ1	NOUN
ejpam-6281	434	16	(	(	PUNCT
ejpam-6281	434	17	2γ43	2γ43	NUM
ejpam-6281	434	18	−	−	PROPN
ejpam-6281	435	1	γ25)a	γ25)a	PROPN
ejpam-6281	435	2	(	(	PUNCT
ejpam-6281	435	3	0)2	0)2	NUM
ejpam-6281	435	4	3	3	NUM
ejpam-6281	435	5	+	+	NUM
ejpam-6281	435	6	t	t	NOUN
ejpam-6281	435	7	nγ46a	nγ46a	PRON
ejpam-6281	435	8	(	(	PUNCT
ejpam-6281	435	9	0	0	NUM
ejpam-6281	435	10	)	)	PUNCT
ejpam-6281	435	11	3	3	NUM
ejpam-6281	435	12	]	]	PUNCT
ejpam-6281	435	13	}	}	PUNCT
ejpam-6281	435	14	cos(ρ1n−1t)−	cos(ρ1n−1t)−	PROPN
ejpam-6281	435	15	δ{−1	δ{−1	NOUN
ejpam-6281	435	16	4	4	NUM
ejpam-6281	435	17	[	[	SYM
ejpam-6281	435	18	2	2	NUM
ejpam-6281	435	19	ρ1	ρ1	NOUN
ejpam-6281	435	20	−t0a(0	−t0a(0	NUM
ejpam-6281	435	21	)	)	PUNCT
ejpam-6281	435	22	3	3	NUM
ejpam-6281	435	23	(	(	PUNCT
ejpam-6281	435	24	cot	cot	NOUN
ejpam-6281	435	25	ρ1	ρ1	NOUN
ejpam-6281	435	26	2	2	NUM
ejpam-6281	435	27	t0)[γ48	t0)[γ48	ADJ
ejpam-6281	435	28	+	+	NOUN
ejpam-6281	435	29	γ35	γ35	NOUN
ejpam-6281	435	30	+	+	CCONJ
ejpam-6281	435	31	λ́2r10	λ́2r10	NOUN
ejpam-6281	435	32	ρ1	ρ1	NOUN
ejpam-6281	435	33	(	(	PUNCT
ejpam-6281	435	34	δγ25	δγ25	PROPN
ejpam-6281	435	35	−	−	PROPN
ejpam-6281	435	36	(	(	PUNCT
ejpam-6281	435	37	1	1	NUM
ejpam-6281	435	38	+	+	NUM
ejpam-6281	435	39	χδ)γ15	χδ)γ15	NUM
ejpam-6281	435	40	)	)	PUNCT
ejpam-6281	435	41	]	]	PUNCT
ejpam-6281	436	1	+	+	CCONJ
ejpam-6281	436	2	1	1	NUM
ejpam-6281	436	3	2a	2a	NUM
ejpam-6281	436	4	(	(	PUNCT
ejpam-6281	436	5	0)2	0)2	PROPN
ejpam-6281	436	6	3	3	NUM
ejpam-6281	436	7	t0[γ45	t0[γ45	NOUN
ejpam-6281	436	8	−γ18	−γ18	PROPN
ejpam-6281	436	9	+	+	NUM
ejpam-6281	436	10	λ́2r10	λ́2r10	X
ejpam-6281	436	11	ρ1	ρ1	NOUN
ejpam-6281	436	12	(	(	PUNCT
ejpam-6281	436	13	δγ28	δγ28	PROPN
ejpam-6281	436	14	−	−	PROPN
ejpam-6281	436	15	2(1	2(1	NUM
ejpam-6281	436	16	+	+	NUM
ejpam-6281	436	17	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	436	18	)	)	PUNCT
ejpam-6281	436	19	]	]	PUNCT
ejpam-6281	437	1	+	+	CCONJ
ejpam-6281	437	2	t	t	NOUN
ejpam-6281	437	3	6ρ1	6ρ1	NUM
ejpam-6281	437	4	γ28a	γ28a	NUM
ejpam-6281	437	5	(	(	PUNCT
ejpam-6281	437	6	0)2	0)2	NOUN
ejpam-6281	437	7	3	3	NUM
ejpam-6281	437	8	+	+	NOUN
ejpam-6281	437	9	a	a	DET
ejpam-6281	437	10	(	(	PUNCT
ejpam-6281	437	11	0	0	NUM
ejpam-6281	437	12	)	)	PUNCT
ejpam-6281	437	13	3	3	NUM
ejpam-6281	437	14	[	[	X
ejpam-6281	437	15	γ45	γ45	NOUN
ejpam-6281	437	16	−	−	PROPN
ejpam-6281	437	17	γ38	γ38	PROPN
ejpam-6281	437	18	+	+	CCONJ
ejpam-6281	437	19	λ́2r10	λ́2r10	X
ejpam-6281	437	20	ρ1	ρ1	NOUN
ejpam-6281	437	21	×(1	×(1	NOUN
ejpam-6281	437	22	+	+	CCONJ
ejpam-6281	437	23	χδ	χδ	ADP
ejpam-6281	437	24	−	−	NOUN
ejpam-6281	437	25	δγ28	δγ28	PROPN
ejpam-6281	437	26	)	)	PUNCT
ejpam-6281	437	27	]	]	PUNCT
ejpam-6281	437	28	}	}	PUNCT
ejpam-6281	437	29	sin(ρ1n−1	sin(ρ1n−1	PROPN
ejpam-6281	437	30	t	t	PROPN
ejpam-6281	437	31	)	)	PUNCT
ejpam-6281	438	1	+	+	NUM
ejpam-6281	438	2	δ	δ	PROPN
ejpam-6281	438	3	6ρ1	6ρ1	NUM
ejpam-6281	438	4	a	a	DET
ejpam-6281	438	5	(	(	PUNCT
ejpam-6281	438	6	0)2	0)2	NUM
ejpam-6281	438	7	3	3	NUM
ejpam-6281	438	8	sin(2ρ1n	sin(2ρ1n	NUM
ejpam-6281	438	9	−1t)}+	−1t)}+	PROPN
ejpam-6281	438	10	....	....	PUNCT
ejpam-6281	438	11	,	,	PUNCT
ejpam-6281	438	12	t.	t.	PROPN
ejpam-6281	438	13	s.	s.	PROPN
ejpam-6281	438	14	amer	amer	PROPN
ejpam-6281	438	15	et	et	PROPN
ejpam-6281	438	16	al	al	PROPN
ejpam-6281	438	17	.	.	PUNCT
ejpam-6281	438	18	/	/	SYM
ejpam-6281	438	19	eur	eur	PROPN
ejpam-6281	438	20	.	.	PUNCT
ejpam-6281	439	1	j.	j.	PROPN
ejpam-6281	439	2	pure	pure	PROPN
ejpam-6281	439	3	appl	appl	PROPN
ejpam-6281	439	4	.	.	PROPN
ejpam-6281	439	5	math	math	PROPN
ejpam-6281	439	6	,	,	PUNCT
ejpam-6281	439	7	18	18	NUM
ejpam-6281	439	8	(	(	PUNCT
ejpam-6281	439	9	3	3	NUM
ejpam-6281	439	10	)	)	PUNCT
ejpam-6281	439	11	(	(	PUNCT
ejpam-6281	439	12	2025	2025	NUM
ejpam-6281	439	13	)	)	PUNCT
ejpam-6281	439	14	,	,	PUNCT
ejpam-6281	439	15	6281	6281	NUM
ejpam-6281	439	16	17	17	NUM
ejpam-6281	439	17	of	of	ADP
ejpam-6281	439	18	35	35	NUM
ejpam-6281	439	19	β	β	NOUN
ejpam-6281	439	20	=	=	X
ejpam-6281	439	21	−ε−1/2(1	−ε−1/2(1	NOUN
ejpam-6281	439	22	+	+	CCONJ
ejpam-6281	439	23	χδ	χδ	X
ejpam-6281	439	24	)	)	PUNCT
ejpam-6281	439	25	{	{	PUNCT
ejpam-6281	439	26	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	439	27	ρ1ρ2	ρ1ρ2	X
ejpam-6281	439	28	(	(	PUNCT
ejpam-6281	439	29	ρ1	ρ1	NOUN
ejpam-6281	439	30	+	+	CCONJ
ejpam-6281	439	31	ρ2	ρ2	NOUN
ejpam-6281	439	32	)	)	PUNCT
ejpam-6281	440	1	+	+	ADP
ejpam-6281	440	2	a	a	DET
ejpam-6281	440	3	(	(	PUNCT
ejpam-6281	440	4	0	0	NUM
ejpam-6281	440	5	)	)	PUNCT
ejpam-6281	440	6	3	3	NUM
ejpam-6281	440	7	sin(ρ2n	sin(ρ2n	PROPN
ejpam-6281	440	8	−1t)}+	−1t)}+	PROPN
ejpam-6281	440	9	ε−3/2{−	ε−3/2{−	PROPN
ejpam-6281	440	10	(	(	PUNCT
ejpam-6281	440	11	1+χδ	1+χδ	NOUN
ejpam-6281	440	12	)	)	PUNCT
ejpam-6281	440	13	2ρ2	2ρ2	NUM
ejpam-6281	441	1	[	[	X
ejpam-6281	441	2	2δλ́2r10	2δλ́2r10	NUM
ejpam-6281	441	3	×µ0	×µ0	ADJ
ejpam-6281	441	4	+	+	NUM
ejpam-6281	441	5	λ́2r10	λ́2r10	X
ejpam-6281	441	6	ρ2	ρ2	NOUN
ejpam-6281	441	7	[	[	X
ejpam-6281	441	8	δ(γ61	δ(γ61	ADV
ejpam-6281	441	9	+	+	X
ejpam-6281	441	10	γ63a	γ63a	NUM
ejpam-6281	441	11	(	(	PUNCT
ejpam-6281	441	12	0)2	0)2	NOUN
ejpam-6281	441	13	3	3	NUM
ejpam-6281	441	14	)	)	PUNCT
ejpam-6281	441	15	−	−	PROPN
ejpam-6281	442	1	(	(	PUNCT
ejpam-6281	442	2	1	1	NUM
ejpam-6281	442	3	+	+	NUM
ejpam-6281	442	4	χδ)(γ51	χδ)(γ51	X
ejpam-6281	443	1	+	+	CCONJ
ejpam-6281	444	1	γ53a	γ53a	PUNCT
ejpam-6281	445	1	(	(	PUNCT
ejpam-6281	445	2	0)2	0)2	NOUN
ejpam-6281	445	3	3	3	NUM
ejpam-6281	445	4	)	)	PUNCT
ejpam-6281	445	5	]	]	X
ejpam-6281	445	6	−	−	PROPN
ejpam-6281	445	7	(	(	PUNCT
ejpam-6281	445	8	γ71	γ71	NOUN
ejpam-6281	445	9	+	+	CCONJ
ejpam-6281	445	10	γ73	γ73	NUM
ejpam-6281	445	11	×a(0)2	×a(0)2	NOUN
ejpam-6281	445	12	3	3	NUM
ejpam-6281	445	13	)	)	PUNCT
ejpam-6281	446	1	+	+	CCONJ
ejpam-6281	446	2	1	1	NUM
ejpam-6281	446	3	2a	2a	NUM
ejpam-6281	446	4	(	(	PUNCT
ejpam-6281	446	5	0)2	0)2	NUM
ejpam-6281	446	6	3	3	NUM
ejpam-6281	446	7	γ68	γ68	NOUN
ejpam-6281	446	8	]	]	PUNCT
ejpam-6281	446	9	+	+	CCONJ
ejpam-6281	446	10	δ	δ	PROPN
ejpam-6281	446	11	ρ1	ρ1	NOUN
ejpam-6281	446	12	[	[	X
ejpam-6281	446	13	−2(1	−2(1	NOUN
ejpam-6281	446	14	+	+	CCONJ
ejpam-6281	446	15	χδ)λ́2r10µ0	χδ)λ́2r10µ0	ADJ
ejpam-6281	446	16	+	+	CCONJ
ejpam-6281	446	17	1	1	NUM
ejpam-6281	446	18	2a	2a	NUM
ejpam-6281	446	19	(	(	PUNCT
ejpam-6281	446	20	0)2	0)2	NUM
ejpam-6281	446	21	3	3	NUM
ejpam-6281	446	22	(	(	PUNCT
ejpam-6281	446	23	γ28	γ28	PROPN
ejpam-6281	446	24	−	−	PROPN
ejpam-6281	446	25	2γ33)−	2γ33)−	NUM
ejpam-6281	446	26	γ31	γ31	NOUN
ejpam-6281	446	27	−	−	PROPN
ejpam-6281	446	28	λ́2r10	λ́2r10	NOUN
ejpam-6281	446	29	ρ1	ρ1	NOUN
ejpam-6281	446	30	[	[	X
ejpam-6281	446	31	δ(γ21	δ(γ21	NOUN
ejpam-6281	446	32	+	+	NOUN
ejpam-6281	446	33	γ23a	γ23a	NOUN
ejpam-6281	446	34	(	(	PUNCT
ejpam-6281	446	35	0)2	0)2	NUM
ejpam-6281	446	36	3	3	NUM
ejpam-6281	446	37	)	)	PUNCT
ejpam-6281	446	38	−	−	PROPN
ejpam-6281	446	39	(	(	PUNCT
ejpam-6281	446	40	1	1	NUM
ejpam-6281	446	41	+	+	NUM
ejpam-6281	446	42	χδ)(γ11	χδ)(γ11	X
ejpam-6281	447	1	+	+	CCONJ
ejpam-6281	447	2	γ13a	γ13a	PUNCT
ejpam-6281	447	3	(	(	PUNCT
ejpam-6281	447	4	0	0	NUM
ejpam-6281	447	5	)	)	PUNCT
ejpam-6281	447	6	3	3	NUM
ejpam-6281	447	7	)	)	PUNCT
ejpam-6281	447	8	]	]	PUNCT
ejpam-6281	447	9	]	]	X
ejpam-6281	447	10	+	+	CCONJ
ejpam-6281	447	11	(	(	PUNCT
ejpam-6281	447	12	1	1	NUM
ejpam-6281	447	13	+	+	NUM
ejpam-6281	447	14	χδ){−	χδ){−	PROPN
ejpam-6281	447	15	t	t	NOUN
ejpam-6281	447	16	2n}[γ85	2n}[γ85	NUM
ejpam-6281	447	17	+	+	NOUN
ejpam-6281	447	18	γ78	γ78	NOUN
ejpam-6281	447	19	−	−	PROPN
ejpam-6281	447	20	4ρ2µ0	4ρ2µ0	NOUN
ejpam-6281	447	21	+	+	SYM
ejpam-6281	447	22	λ́2r10	λ́2r10	X
ejpam-6281	447	23	ρ2	ρ2	NOUN
ejpam-6281	447	24	[	[	PUNCT
ejpam-6281	447	25	δ(γ65	δ(γ65	ADJ
ejpam-6281	447	26	−	−	NUM
ejpam-6281	447	27	2γ68	2γ68	NUM
ejpam-6281	447	28	)	)	PUNCT
ejpam-6281	448	1	+	+	CCONJ
ejpam-6281	448	2	(	(	PUNCT
ejpam-6281	448	3	1	1	NUM
ejpam-6281	448	4	+	+	NUM
ejpam-6281	448	5	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	448	6	]	]	X
ejpam-6281	448	7	]	]	PUNCT
ejpam-6281	449	1	+	+	CCONJ
ejpam-6281	449	2	1	1	NUM
ejpam-6281	449	3	ρ2	ρ2	NOUN
ejpam-6281	450	1	[	[	X
ejpam-6281	450	2	2δλ́2r10µ0	2δλ́2r10µ0	NUM
ejpam-6281	450	3	−	−	NOUN
ejpam-6281	450	4	γ71	γ71	NOUN
ejpam-6281	450	5	−γ73a	−γ73a	NUM
ejpam-6281	450	6	(	(	PUNCT
ejpam-6281	450	7	0)2	0)2	NUM
ejpam-6281	450	8	3	3	NUM
ejpam-6281	450	9	+	+	NOUN
ejpam-6281	450	10	λ́2r10	λ́2r10	X
ejpam-6281	450	11	ρ2	ρ2	NOUN
ejpam-6281	450	12	[	[	X
ejpam-6281	450	13	δ(γ61	δ(γ61	ADV
ejpam-6281	450	14	−	−	ADP
ejpam-6281	450	15	γ63a	γ63a	ADP
ejpam-6281	450	16	(	(	PUNCT
ejpam-6281	450	17	0)2	0)2	NUM
ejpam-6281	450	18	3	3	NUM
ejpam-6281	450	19	)	)	PUNCT
ejpam-6281	450	20	−	−	PROPN
ejpam-6281	451	1	(	(	PUNCT
ejpam-6281	451	2	1	1	NUM
ejpam-6281	451	3	+	+	NUM
ejpam-6281	451	4	χδ)(γ51	χδ)(γ51	X
ejpam-6281	452	1	+	+	CCONJ
ejpam-6281	453	1	γ53a	γ53a	PUNCT
ejpam-6281	454	1	(	(	PUNCT
ejpam-6281	454	2	0)2	0)2	NOUN
ejpam-6281	454	3	3	3	NUM
ejpam-6281	454	4	)	)	PUNCT
ejpam-6281	454	5	]	]	X
ejpam-6281	454	6	]	]	X
ejpam-6281	454	7	}	}	PUNCT
ejpam-6281	454	8	×	×	NOUN
ejpam-6281	454	9	cos(ρ2n	cos(ρ2n	PROPN
ejpam-6281	454	10	−1	−1	NOUN
ejpam-6281	454	11	t	t	PROPN
ejpam-6281	454	12	)	)	PUNCT
ejpam-6281	455	1	+	+	CCONJ
ejpam-6281	455	2	(	(	PUNCT
ejpam-6281	455	3	1	1	NUM
ejpam-6281	455	4	+	+	NUM
ejpam-6281	455	5	χδ	χδ	NOUN
ejpam-6281	455	6	)	)	PUNCT
ejpam-6281	455	7	{	{	PUNCT
ejpam-6281	455	8	t	t	PROPN
ejpam-6281	455	9	2na	2na	NOUN
ejpam-6281	455	10	(	(	PUNCT
ejpam-6281	455	11	0	0	NUM
ejpam-6281	455	12	)	)	PUNCT
ejpam-6281	455	13	3	3	NUM
ejpam-6281	456	1	[	[	X
ejpam-6281	456	2	γ88	γ88	INTJ
ejpam-6281	456	3	−	−	PROPN
ejpam-6281	456	4	γ75	γ75	NOUN
ejpam-6281	456	5	+	+	CCONJ
ejpam-6281	456	6	λ́2r10	λ́2r10	X
ejpam-6281	456	7	ρ2	ρ2	NOUN
ejpam-6281	456	8	[	[	X
ejpam-6281	456	9	δγ65	δγ65	PROPN
ejpam-6281	456	10	−	−	PROPN
ejpam-6281	456	11	(	(	PUNCT
ejpam-6281	456	12	1	1	NUM
ejpam-6281	456	13	+	+	CCONJ
ejpam-6281	456	14	χδ)γ55]]−	χδ)γ55]]−	ADJ
ejpam-6281	456	15	1	1	NUM
ejpam-6281	456	16	ρ2	ρ2	NOUN
ejpam-6281	456	17	×γ65a	×γ65a	NOUN
ejpam-6281	456	18	(	(	PUNCT
ejpam-6281	456	19	0)2	0)2	NUM
ejpam-6281	456	20	3	3	NUM
ejpam-6281	456	21	+	+	SYM
ejpam-6281	456	22	1	1	NUM
ejpam-6281	456	23	2ρ2	2ρ2	NUM
ejpam-6281	456	24	a	a	DET
ejpam-6281	456	25	(	(	PUNCT
ejpam-6281	456	26	0	0	NUM
ejpam-6281	456	27	)	)	PUNCT
ejpam-6281	456	28	3	3	NUM
ejpam-6281	456	29	[	[	PUNCT
ejpam-6281	456	30	γ85	γ85	ADJ
ejpam-6281	456	31	+	+	CCONJ
ejpam-6281	456	32	γ78	γ78	NOUN
ejpam-6281	456	33	−	−	PROPN
ejpam-6281	456	34	4ρ2µ0	4ρ2µ0	PROPN
ejpam-6281	456	35	+	+	SYM
ejpam-6281	456	36	λ́2r10	λ́2r10	X
ejpam-6281	457	1	ρ2	ρ2	NOUN
ejpam-6281	457	2	[	[	PUNCT
ejpam-6281	457	3	δ(γ65	δ(γ65	ADJ
ejpam-6281	457	4	−	−	NUM
ejpam-6281	457	5	2γ68	2γ68	NUM
ejpam-6281	457	6	)	)	PUNCT
ejpam-6281	458	1	+	+	CCONJ
ejpam-6281	458	2	(	(	PUNCT
ejpam-6281	458	3	1	1	NUM
ejpam-6281	458	4	+	+	NOUN
ejpam-6281	458	5	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	458	6	−2(γ61	−2(γ61	NOUN
ejpam-6281	458	7	+	+	CCONJ
ejpam-6281	458	8	γ63a	γ63a	NUM
ejpam-6281	458	9	(	(	PUNCT
ejpam-6281	458	10	0)2	0)2	NOUN
ejpam-6281	458	11	3	3	NUM
ejpam-6281	458	12	)	)	PUNCT
ejpam-6281	458	13	]	]	X
ejpam-6281	458	14	]	]	X
ejpam-6281	458	15	}	}	PUNCT
ejpam-6281	458	16	sin(ρ2n−1	sin(ρ2n−1	PROPN
ejpam-6281	458	17	t	t	NUM
ejpam-6281	458	18	)	)	PUNCT
ejpam-6281	458	19	+	+	CCONJ
ejpam-6281	458	20	(	(	PUNCT
ejpam-6281	458	21	1+χδ	1+χδ	NOUN
ejpam-6281	458	22	)	)	PUNCT
ejpam-6281	458	23	2ρ2	2ρ2	NUM
ejpam-6281	458	24	a	a	DET
ejpam-6281	458	25	(	(	PUNCT
ejpam-6281	458	26	0)2	0)2	NUM
ejpam-6281	458	27	3	3	NUM
ejpam-6281	458	28	[	[	NOUN
ejpam-6281	458	29	γ68	γ68	NOUN
ejpam-6281	458	30	cos(2ρ2n	cos(2ρ2n	PUNCT
ejpam-6281	458	31	−1	−1	NOUN
ejpam-6281	458	32	t	t	PROPN
ejpam-6281	458	33	)	)	PUNCT
ejpam-6281	459	1	+	+	CCONJ
ejpam-6281	459	2	γ65	γ65	ADJ
ejpam-6281	459	3	×	×	NOUN
ejpam-6281	459	4	sin(2ρ2n	sin(2ρ2n	PUNCT
ejpam-6281	459	5	−1	−1	NOUN
ejpam-6281	459	6	t	t	PROPN
ejpam-6281	459	7	)	)	PUNCT
ejpam-6281	459	8	]	]	PUNCT
ejpam-6281	460	1	+	+	CCONJ
ejpam-6281	460	2	δ{t0	δ{t0	NUM
ejpam-6281	460	3	4	4	NUM
ejpam-6281	460	4	a	a	DET
ejpam-6281	460	5	(	(	PUNCT
ejpam-6281	460	6	0	0	NUM
ejpam-6281	460	7	)	)	PUNCT
ejpam-6281	460	8	3	3	NUM
ejpam-6281	460	9	(	(	PUNCT
ejpam-6281	460	10	2	2	NUM
ejpam-6281	460	11	csc2	csc2	NOUN
ejpam-6281	460	12	ρ1	ρ1	NOUN
ejpam-6281	460	13	2	2	NUM
ejpam-6281	460	14	t0	t0	NOUN
ejpam-6281	460	15	−	−	NOUN
ejpam-6281	460	16	1)[γ48	1)[γ48	NUM
ejpam-6281	460	17	+	+	NUM
ejpam-6281	460	18	γ35	γ35	NOUN
ejpam-6281	460	19	+	+	CCONJ
ejpam-6281	460	20	λ́2r10	λ́2r10	NOUN
ejpam-6281	460	21	ρ1	ρ1	NOUN
ejpam-6281	460	22	(	(	PUNCT
ejpam-6281	460	23	δγ25	δγ25	PROPN
ejpam-6281	460	24	−	−	PROPN
ejpam-6281	460	25	(	(	PUNCT
ejpam-6281	460	26	1	1	NUM
ejpam-6281	460	27	+	+	NUM
ejpam-6281	460	28	χδ)γ15	χδ)γ15	NUM
ejpam-6281	460	29	)	)	PUNCT
ejpam-6281	460	30	]	]	PUNCT
ejpam-6281	461	1	+	+	PUNCT
ejpam-6281	461	2	t0	t0	X
ejpam-6281	461	3	2	2	NUM
ejpam-6281	461	4	a	a	PRON
ejpam-6281	461	5	(	(	PUNCT
ejpam-6281	461	6	0)2	0)2	NUM
ejpam-6281	461	7	3	3	NUM
ejpam-6281	461	8	[	[	X
ejpam-6281	461	9	γ18	γ18	NUM
ejpam-6281	461	10	−	−	PROPN
ejpam-6281	461	11	γ45	γ45	NOUN
ejpam-6281	461	12	−	−	PROPN
ejpam-6281	461	13	λ́2r10	λ́2r10	NOUN
ejpam-6281	461	14	ρ1	ρ1	NOUN
ejpam-6281	461	15	(	(	PUNCT
ejpam-6281	461	16	δγ28	δγ28	PROPN
ejpam-6281	461	17	−	−	PROPN
ejpam-6281	461	18	2(1	2(1	NUM
ejpam-6281	461	19	+	+	CCONJ
ejpam-6281	461	20	χδ)γ18)]−	χδ)γ18)]−	ADJ
ejpam-6281	461	21	1	1	NUM
ejpam-6281	461	22	3ρ1	3ρ1	NUM
ejpam-6281	461	23	a	a	DET
ejpam-6281	461	24	(	(	PUNCT
ejpam-6281	461	25	0)2	0)2	PROPN
ejpam-6281	461	26	3	3	NUM
ejpam-6281	461	27	γ25	γ25	NOUN
ejpam-6281	461	28	−	−	PROPN
ejpam-6281	461	29	1	1	NUM
ejpam-6281	461	30	2ρ1	2ρ1	NUM
ejpam-6281	461	31	a	a	DET
ejpam-6281	461	32	(	(	PUNCT
ejpam-6281	461	33	0	0	NUM
ejpam-6281	461	34	)	)	PUNCT
ejpam-6281	461	35	3	3	NUM
ejpam-6281	461	36	[	[	X
ejpam-6281	461	37	γ18	γ18	PRON
ejpam-6281	461	38	−γ45	−γ45	PROPN
ejpam-6281	461	39	+	+	NUM
ejpam-6281	461	40	λ́2r10	λ́2r10	PROPN
ejpam-6281	461	41	ρ1	ρ1	NOUN
ejpam-6281	461	42	(	(	PUNCT
ejpam-6281	461	43	δγ28	δγ28	PROPN
ejpam-6281	461	44	+	+	CCONJ
ejpam-6281	461	45	2(1	2(1	NUM
ejpam-6281	461	46	+	+	NUM
ejpam-6281	461	47	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	461	48	)	)	PUNCT
ejpam-6281	461	49	]	]	PUNCT
ejpam-6281	462	1	+	+	CCONJ
ejpam-6281	462	2	t	t	PROPN
ejpam-6281	462	3	2na	2na	NOUN
ejpam-6281	462	4	(	(	PUNCT
ejpam-6281	462	5	0	0	NUM
ejpam-6281	462	6	)	)	PUNCT
ejpam-6281	462	7	3	3	NUM
ejpam-6281	463	1	[	[	X
ejpam-6281	463	2	γ18	γ18	NOUN
ejpam-6281	463	3	+	+	CCONJ
ejpam-6281	463	4	γ15	γ15	ADJ
ejpam-6281	463	5	+	+	CCONJ
ejpam-6281	463	6	λ́2r10	λ́2r10	X
ejpam-6281	463	7	ρ1	ρ1	NOUN
ejpam-6281	463	8	(	(	PUNCT
ejpam-6281	463	9	δγ25	δγ25	PROPN
ejpam-6281	463	10	+2(1	+2(1	PROPN
ejpam-6281	463	11	+	+	NUM
ejpam-6281	463	12	χδ)γ15	χδ)γ15	NUM
ejpam-6281	463	13	)	)	PUNCT
ejpam-6281	463	14	]	]	PUNCT
ejpam-6281	463	15	}	}	PUNCT
ejpam-6281	463	16	sin(ρ1n−1	sin(ρ1n−1	PROPN
ejpam-6281	463	17	t	t	PROPN
ejpam-6281	463	18	)	)	PUNCT
ejpam-6281	463	19	+	+	CCONJ
ejpam-6281	463	20	δ{−t0a	δ{−t0a	ADJ
ejpam-6281	463	21	(	(	PUNCT
ejpam-6281	463	22	0	0	NUM
ejpam-6281	463	23	)	)	PUNCT
ejpam-6281	463	24	3	3	NUM
ejpam-6281	463	25	4	4	NUM
ejpam-6281	463	26	(	(	PUNCT
ejpam-6281	463	27	cot	cot	NOUN
ejpam-6281	463	28	ρ1	ρ1	NOUN
ejpam-6281	463	29	2	2	NUM
ejpam-6281	463	30	t0)[γ48	t0)[γ48	ADJ
ejpam-6281	463	31	+	+	NOUN
ejpam-6281	463	32	γ35	γ35	NOUN
ejpam-6281	463	33	+	+	CCONJ
ejpam-6281	463	34	λ́2r10	λ́2r10	NOUN
ejpam-6281	463	35	ρ1	ρ1	NOUN
ejpam-6281	463	36	(	(	PUNCT
ejpam-6281	463	37	δγ25	δγ25	PROPN
ejpam-6281	463	38	−	−	PROPN
ejpam-6281	463	39	(	(	PUNCT
ejpam-6281	463	40	1	1	NUM
ejpam-6281	463	41	+	+	NUM
ejpam-6281	463	42	χδ)γ15	χδ)γ15	NUM
ejpam-6281	463	43	)	)	PUNCT
ejpam-6281	463	44	]	]	PUNCT
ejpam-6281	464	1	+1	+1	PROPN
ejpam-6281	464	2	2a	2a	NUM
ejpam-6281	464	3	(	(	PUNCT
ejpam-6281	464	4	0)2	0)2	PROPN
ejpam-6281	464	5	3	3	NUM
ejpam-6281	464	6	t0[γ45	t0[γ45	PROPN
ejpam-6281	464	7	−	−	PROPN
ejpam-6281	464	8	γ18	γ18	PROPN
ejpam-6281	464	9	+	+	CCONJ
ejpam-6281	464	10	λ́2r10	λ́2r10	PROPN
ejpam-6281	464	11	ρ1	ρ1	NOUN
ejpam-6281	464	12	(	(	PUNCT
ejpam-6281	464	13	δγ28	δγ28	PROPN
ejpam-6281	464	14	−	−	PROPN
ejpam-6281	464	15	2(1	2(1	NUM
ejpam-6281	464	16	+	+	NUM
ejpam-6281	464	17	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	464	18	)	)	PUNCT
ejpam-6281	464	19	]	]	PUNCT
ejpam-6281	465	1	+	+	CCONJ
ejpam-6281	465	2	1	1	NUM
ejpam-6281	465	3	ρ1	ρ1	NOUN
ejpam-6281	465	4	[	[	X
ejpam-6281	465	5	2λ́2r10(1	2λ́2r10(1	NUM
ejpam-6281	465	6	+	+	CCONJ
ejpam-6281	465	7	χδ)µ0	χδ)µ0	NOUN
ejpam-6281	465	8	−	−	NOUN
ejpam-6281	465	9	1	1	NUM
ejpam-6281	465	10	2γ28	2γ28	NUM
ejpam-6281	465	11	×a(0)2	×a(0)2	NOUN
ejpam-6281	465	12	3	3	NUM
ejpam-6281	465	13	+	+	NUM
ejpam-6281	465	14	γ31	γ31	X
ejpam-6281	465	15	+	+	CCONJ
ejpam-6281	465	16	γ33a	γ33a	NUM
ejpam-6281	465	17	(	(	PUNCT
ejpam-6281	465	18	0)2	0)2	NOUN
ejpam-6281	465	19	3	3	NUM
ejpam-6281	465	20	+	+	NUM
ejpam-6281	465	21	λ́2r10	λ́2r10	NOUN
ejpam-6281	465	22	ρ1	ρ1	NOUN
ejpam-6281	465	23	[	[	X
ejpam-6281	465	24	δ(γ21	δ(γ21	NOUN
ejpam-6281	465	25	+	+	NOUN
ejpam-6281	465	26	γ23a	γ23a	NOUN
ejpam-6281	465	27	(	(	PUNCT
ejpam-6281	465	28	0)2	0)2	NUM
ejpam-6281	465	29	3	3	NUM
ejpam-6281	465	30	)	)	PUNCT
ejpam-6281	465	31	−	−	PROPN
ejpam-6281	465	32	(	(	PUNCT
ejpam-6281	465	33	1	1	NUM
ejpam-6281	465	34	+	+	NUM
ejpam-6281	465	35	χδ)(γ11	χδ)(γ11	X
ejpam-6281	465	36	+	+	CCONJ
ejpam-6281	465	37	γ13a	γ13a	PUNCT
ejpam-6281	465	38	(	(	PUNCT
ejpam-6281	465	39	0)2	0)2	NOUN
ejpam-6281	465	40	3	3	NUM
ejpam-6281	465	41	)	)	PUNCT
ejpam-6281	465	42	]	]	PUNCT
ejpam-6281	465	43	]	]	X
ejpam-6281	466	1	+	+	CCONJ
ejpam-6281	466	2	t	t	X
ejpam-6281	466	3	2n	2n	NUM
ejpam-6281	466	4	×a(0	×a(0	PROPN
ejpam-6281	466	5	)	)	PUNCT
ejpam-6281	466	6	3	3	NUM
ejpam-6281	467	1	[	[	X
ejpam-6281	467	2	γ18	γ18	NUM
ejpam-6281	467	3	−	−	PROPN
ejpam-6281	467	4	γ45	γ45	NOUN
ejpam-6281	467	5	+	+	CCONJ
ejpam-6281	467	6	λ́2r10	λ́2r10	X
ejpam-6281	467	7	ρ1	ρ1	NOUN
ejpam-6281	467	8	(	(	PUNCT
ejpam-6281	467	9	δγ28	δγ28	PROPN
ejpam-6281	467	10	+	+	CCONJ
ejpam-6281	467	11	2(1	2(1	NUM
ejpam-6281	467	12	+	+	NUM
ejpam-6281	467	13	χδ)γ18	χδ)γ18	NOUN
ejpam-6281	467	14	)	)	PUNCT
ejpam-6281	467	15	]	]	PUNCT
ejpam-6281	468	1	+	+	CCONJ
ejpam-6281	468	2	1	1	NUM
ejpam-6281	468	3	6ρ1	6ρ1	NUM
ejpam-6281	468	4	γ28a	γ28a	NUM
ejpam-6281	468	5	(	(	PUNCT
ejpam-6281	468	6	0)2	0)2	NUM
ejpam-6281	468	7	3	3	NUM
ejpam-6281	468	8	}	}	PUNCT
ejpam-6281	468	9	cos(ρ1n−1	cos(ρ1n−1	PROPN
ejpam-6281	468	10	t	t	PROPN
ejpam-6281	468	11	)	)	PUNCT
ejpam-6281	468	12	+	+	NUM
ejpam-6281	468	13	δ	δ	PROPN
ejpam-6281	468	14	6ρ1	6ρ1	NUM
ejpam-6281	468	15	a	a	DET
ejpam-6281	468	16	(	(	PUNCT
ejpam-6281	468	17	0)2	0)2	NUM
ejpam-6281	468	18	3	3	NUM
ejpam-6281	468	19	[	[	X
ejpam-6281	468	20	γ25	γ25	NOUN
ejpam-6281	468	21	sin(2ρ1n	sin(2ρ1n	NUM
ejpam-6281	468	22	−1t)−	−1t)−	PROPN
ejpam-6281	468	23	γ28	γ28	NOUN
ejpam-6281	468	24	cos(2ρ1n	cos(2ρ1n	VERB
ejpam-6281	468	25	−1t)]}+	−1t)]}+	ADV
ejpam-6281	468	26	...	...	PUNCT
ejpam-6281	468	27	,	,	PUNCT
ejpam-6281	468	28	γ	γ	X
ejpam-6281	468	29	=	=	SYM
ejpam-6281	468	30	1−	1−	NUM
ejpam-6281	468	31	1	1	NUM
ejpam-6281	468	32	2ε	2ε	NOUN
ejpam-6281	468	33	−1{(1	−1{(1	NOUN
ejpam-6281	468	34	+	+	CCONJ
ejpam-6281	468	35	χδ)2	χδ)2	PROPN
ejpam-6281	468	36	[	[	PUNCT
ejpam-6281	468	37	δλ́2r10	δλ́2r10	NOUN
ejpam-6281	468	38	ρ2	ρ2	NOUN
ejpam-6281	468	39	+	+	PROPN
ejpam-6281	468	40	a	a	DET
ejpam-6281	468	41	(	(	PUNCT
ejpam-6281	468	42	0	0	NUM
ejpam-6281	468	43	)	)	PUNCT
ejpam-6281	468	44	3	3	NUM
ejpam-6281	468	45	sin(ρ2n	sin(ρ2n	PUNCT
ejpam-6281	468	46	−1t)]2	−1t)]2	NOUN
ejpam-6281	468	47	+	+	CCONJ
ejpam-6281	469	1	[	[	X
ejpam-6281	469	2	d2	d2	X
ejpam-6281	469	3	+	+	CCONJ
ejpam-6281	469	4	(	(	PUNCT
ejpam-6281	469	5	1	1	NUM
ejpam-6281	469	6	+	+	NUM
ejpam-6281	469	7	χδ)a	χδ)a	PROPN
ejpam-6281	469	8	(	(	PUNCT
ejpam-6281	469	9	0	0	NUM
ejpam-6281	469	10	)	)	PUNCT
ejpam-6281	469	11	3	3	NUM
ejpam-6281	469	12	cos(ρ2n	cos(ρ2n	PROPN
ejpam-6281	469	13	−1t)]2}+	−1t)]2}+	PROPN
ejpam-6281	469	14	....	....	PUNCT
ejpam-6281	469	15	,	,	PUNCT
ejpam-6281	469	16	µ0	µ0	NOUN
ejpam-6281	469	17	=	=	SYM
ejpam-6281	469	18	1	1	NUM
ejpam-6281	469	19	4ρ2	4ρ2	NUM
ejpam-6281	469	20	{	{	PUNCT
ejpam-6281	469	21	γ85	γ85	ADJ
ejpam-6281	469	22	+	+	CCONJ
ejpam-6281	469	23	γ78	γ78	NOUN
ejpam-6281	469	24	−	−	PROPN
ejpam-6281	469	25	2(γ61	2(γ61	NUM
ejpam-6281	469	26	+	+	CCONJ
ejpam-6281	470	1	γ63a	γ63a	VERB
ejpam-6281	470	2	(	(	PUNCT
ejpam-6281	470	3	0)2	0)2	NOUN
ejpam-6281	470	4	3	3	NUM
ejpam-6281	470	5	)	)	PUNCT
ejpam-6281	470	6	+	+	NUM
ejpam-6281	470	7	λ́2r10	λ́2r10	X
ejpam-6281	470	8	ρ2	ρ2	NOUN
ejpam-6281	470	9	[	[	PUNCT
ejpam-6281	470	10	δ(γ65	δ(γ65	ADJ
ejpam-6281	470	11	−	−	NUM
ejpam-6281	470	12	2γ68	2γ68	NUM
ejpam-6281	470	13	)	)	PUNCT
ejpam-6281	471	1	+	+	CCONJ
ejpam-6281	471	2	(	(	PUNCT
ejpam-6281	471	3	1	1	NUM
ejpam-6281	471	4	+	+	NUM
ejpam-6281	471	5	χδ)γ58	χδ)γ58	NOUN
ejpam-6281	471	6	]	]	PUNCT
ejpam-6281	471	7	}	}	PUNCT
ejpam-6281	471	8	,	,	PUNCT
ejpam-6281	471	9	t0	t0	X
ejpam-6281	471	10	=	=	PUNCT
ejpam-6281	471	11	2πρ−1	2πρ−1	NUM
ejpam-6281	471	12	2	2	NUM
ejpam-6281	471	13	.	.	PUNCT
ejpam-6281	472	1	(	(	PUNCT
ejpam-6281	472	2	34	34	NUM
ejpam-6281	472	3	)	)	PUNCT
ejpam-6281	472	4	as	as	ADP
ejpam-6281	472	5	a	a	DET
ejpam-6281	472	6	result	result	NOUN
ejpam-6281	472	7	of	of	ADP
ejpam-6281	472	8	the	the	DET
ejpam-6281	472	9	fact	fact	NOUN
ejpam-6281	472	10	that	that	SCONJ
ejpam-6281	472	11	the	the	DET
ejpam-6281	472	12	rotatory	rotatory	ADJ
ejpam-6281	472	13	motion	motion	NOUN
ejpam-6281	472	14	of	of	ADP
ejpam-6281	472	15	a	a	DET
ejpam-6281	472	16	rb	rb	NOUN
ejpam-6281	472	17	in	in	ADP
ejpam-6281	472	18	3d	3d	PROPN
ejpam-6281	472	19	is	be	AUX
ejpam-6281	472	20	governed	govern	VERB
ejpam-6281	472	21	by	by	ADP
ejpam-6281	472	22	nonlinear	nonlinear	ADJ
ejpam-6281	472	23	differential	differential	ADJ
ejpam-6281	472	24	equations	equation	NOUN
ejpam-6281	472	25	,	,	PUNCT
ejpam-6281	472	26	it	it	PRON
ejpam-6281	472	27	is	be	AUX
ejpam-6281	472	28	frequently	frequently	ADV
ejpam-6281	472	29	difficult	difficult	ADJ
ejpam-6281	472	30	or	or	CCONJ
ejpam-6281	472	31	even	even	ADV
ejpam-6281	472	32	impossible	impossible	ADJ
ejpam-6281	472	33	to	to	PART
ejpam-6281	472	34	obtain	obtain	VERB
ejpam-6281	472	35	exact	exact	ADJ
ejpam-6281	472	36	solutions	solution	NOUN
ejpam-6281	472	37	in	in	ADP
ejpam-6281	472	38	many	many	ADJ
ejpam-6281	472	39	practical	practical	ADJ
ejpam-6281	472	40	scenarios	scenario	NOUN
ejpam-6281	472	41	[	[	X
ejpam-6281	472	42	1	1	NUM
ejpam-6281	472	43	,	,	PUNCT
ejpam-6281	472	44	3	3	NUM
ejpam-6281	472	45	,	,	PUNCT
ejpam-6281	472	46	7	7	NUM
ejpam-6281	472	47	]	]	PUNCT
ejpam-6281	472	48	.	.	PUNCT
ejpam-6281	473	1	therefore	therefore	ADV
ejpam-6281	473	2	,	,	PUNCT
ejpam-6281	473	3	the	the	PRON
ejpam-6281	473	4	as	as	SCONJ
ejpam-6281	473	5	play	play	VERB
ejpam-6281	473	6	an	an	DET
ejpam-6281	473	7	essential	essential	ADJ
ejpam-6281	473	8	role	role	NOUN
ejpam-6281	473	9	in	in	ADP
ejpam-6281	473	10	comprehending	comprehending	ADJ
ejpam-6281	473	11	,	,	PUNCT
ejpam-6281	473	12	predicting	predict	VERB
ejpam-6281	473	13	,	,	PUNCT
ejpam-6281	473	14	and	and	CCONJ
ejpam-6281	473	15	optimizing	optimize	VERB
ejpam-6281	473	16	the	the	DET
ejpam-6281	473	17	rotational	rotational	ADJ
ejpam-6281	473	18	behavior	behavior	NOUN
ejpam-6281	473	19	of	of	ADP
ejpam-6281	473	20	such	such	ADJ
ejpam-6281	473	21	systems	system	NOUN
ejpam-6281	473	22	.	.	PUNCT
ejpam-6281	474	1	the	the	DET
ejpam-6281	474	2	following	follow	VERB
ejpam-6281	474	3	are	be	AUX
ejpam-6281	474	4	the	the	DET
ejpam-6281	474	5	primary	primary	ADJ
ejpam-6281	474	6	reasons	reason	NOUN
ejpam-6281	474	7	why	why	SCONJ
ejpam-6281	474	8	that	that	PRON
ejpam-6281	474	9	are	be	AUX
ejpam-6281	474	10	important	important	ADJ
ejpam-6281	474	11	:	:	PUNCT
ejpam-6281	474	12	this	this	DET
ejpam-6281	474	13	problem	problem	NOUN
ejpam-6281	474	14	is	be	AUX
ejpam-6281	474	15	governed	govern	VERB
ejpam-6281	474	16	by	by	ADP
ejpam-6281	474	17	euler	euler	PROPN
ejpam-6281	474	18	’s	’s	PART
ejpam-6281	474	19	equations	equation	NOUN
ejpam-6281	475	1	[	[	X
ejpam-6281	475	2	49	49	NUM
ejpam-6281	475	3	]	]	PUNCT
ejpam-6281	475	4	,	,	PUNCT
ejpam-6281	475	5	which	which	PRON
ejpam-6281	475	6	are	be	AUX
ejpam-6281	475	7	highly	highly	ADV
ejpam-6281	475	8	nonlinear	nonlinear	ADJ
ejpam-6281	475	9	due	due	ADP
ejpam-6281	475	10	to	to	ADP
ejpam-6281	475	11	the	the	DET
ejpam-6281	475	12	interdependence	interdependence	NOUN
ejpam-6281	475	13	of	of	ADP
ejpam-6281	475	14	angular	angular	ADJ
ejpam-6281	475	15	velocities	velocity	NOUN
ejpam-6281	475	16	and	and	CCONJ
ejpam-6281	475	17	moments	moment	NOUN
ejpam-6281	475	18	of	of	ADP
ejpam-6281	475	19	inertia	inertia	NOUN
ejpam-6281	475	20	.	.	PUNCT
ejpam-6281	476	1	the	the	DET
ejpam-6281	476	2	nonlinear	nonlinear	ADJ
ejpam-6281	476	3	nature	nature	NOUN
ejpam-6281	476	4	of	of	ADP
ejpam-6281	476	5	the	the	DET
ejpam-6281	476	6	problem	problem	NOUN
ejpam-6281	476	7	makes	make	VERB
ejpam-6281	476	8	finding	find	VERB
ejpam-6281	476	9	exact	exact	ADJ
ejpam-6281	476	10	solutions	solution	NOUN
ejpam-6281	476	11	for	for	ADP
ejpam-6281	476	12	arbitrary	arbitrary	ADJ
ejpam-6281	476	13	initial	initial	ADJ
ejpam-6281	476	14	conditions	condition	NOUN
ejpam-6281	476	15	or	or	CCONJ
ejpam-6281	476	16	external	external	ADJ
ejpam-6281	476	17	forces	force	NOUN
ejpam-6281	476	18	nearly	nearly	ADV
ejpam-6281	476	19	impossible	impossible	ADJ
ejpam-6281	476	20	,	,	PUNCT
ejpam-6281	476	21	necessitating	necessitate	VERB
ejpam-6281	476	22	the	the	DET
ejpam-6281	476	23	use	use	NOUN
ejpam-6281	476	24	of	of	ADP
ejpam-6281	476	25	approximate	approximate	ADJ
ejpam-6281	476	26	methods	method	NOUN
ejpam-6281	476	27	such	such	ADJ
ejpam-6281	476	28	as	as	ADP
ejpam-6281	476	29	perturbation	perturbation	NOUN
ejpam-6281	476	30	techniques	technique	NOUN
ejpam-6281	476	31	,	,	PUNCT
ejpam-6281	476	32	numerical	numerical	ADJ
ejpam-6281	476	33	simulations	simulation	NOUN
ejpam-6281	476	34	,	,	PUNCT
ejpam-6281	476	35	or	or	CCONJ
ejpam-6281	476	36	asymptotic	asymptotic	ADJ
ejpam-6281	476	37	analysis	analysis	NOUN
ejpam-6281	476	38	[	[	X
ejpam-6281	476	39	50	50	NUM
ejpam-6281	476	40	]	]	PUNCT
ejpam-6281	476	41	.	.	PUNCT
ejpam-6281	477	1	the	the	DET
ejpam-6281	477	2	use	use	NOUN
ejpam-6281	477	3	of	of	ADP
ejpam-6281	477	4	the	the	PRON
ejpam-6281	477	5	as	as	SCONJ
ejpam-6281	477	6	make	make	VERB
ejpam-6281	477	7	it	it	PRON
ejpam-6281	477	8	possible	possible	ADJ
ejpam-6281	477	9	to	to	PART
ejpam-6281	477	10	do	do	VERB
ejpam-6281	477	11	computations	computation	NOUN
ejpam-6281	477	12	in	in	ADP
ejpam-6281	477	13	an	an	DET
ejpam-6281	477	14	effective	effective	ADJ
ejpam-6281	477	15	manner	manner	NOUN
ejpam-6281	477	16	,	,	PUNCT
ejpam-6281	477	17	which	which	PRON
ejpam-6281	477	18	makes	make	VERB
ejpam-6281	477	19	them	they	PRON
ejpam-6281	477	20	suited	suit	VERB
ejpam-6281	477	21	for	for	ADP
ejpam-6281	477	22	real	real	ADJ
ejpam-6281	477	23	-	-	PUNCT
ejpam-6281	477	24	time	time	NOUN
ejpam-6281	477	25	applications	application	NOUN
ejpam-6281	477	26	in	in	ADP
ejpam-6281	477	27	which	which	PRON
ejpam-6281	477	28	exact	exact	ADJ
ejpam-6281	477	29	results	result	NOUN
ejpam-6281	477	30	are	be	AUX
ejpam-6281	477	31	not	not	PART
ejpam-6281	477	32	feasible	feasible	ADJ
ejpam-6281	477	33	.	.	PUNCT
ejpam-6281	478	1	for	for	ADP
ejpam-6281	478	2	the	the	DET
ejpam-6281	478	3	t.	t.	PROPN
ejpam-6281	478	4	s.	s.	PROPN
ejpam-6281	478	5	amer	amer	PROPN
ejpam-6281	478	6	et	et	PROPN
ejpam-6281	478	7	al	al	PROPN
ejpam-6281	478	8	.	.	PUNCT
ejpam-6281	478	9	/	/	SYM
ejpam-6281	478	10	eur	eur	PROPN
ejpam-6281	478	11	.	.	PUNCT
ejpam-6281	479	1	j.	j.	PROPN
ejpam-6281	479	2	pure	pure	PROPN
ejpam-6281	479	3	appl	appl	PROPN
ejpam-6281	479	4	.	.	PROPN
ejpam-6281	479	5	math	math	PROPN
ejpam-6281	479	6	,	,	PUNCT
ejpam-6281	479	7	18	18	NUM
ejpam-6281	479	8	(	(	PUNCT
ejpam-6281	479	9	3	3	NUM
ejpam-6281	479	10	)	)	PUNCT
ejpam-6281	479	11	(	(	PUNCT
ejpam-6281	479	12	2025	2025	NUM
ejpam-6281	479	13	)	)	PUNCT
ejpam-6281	479	14	,	,	PUNCT
ejpam-6281	479	15	6281	6281	NUM
ejpam-6281	479	16	18	18	NUM
ejpam-6281	479	17	of	of	ADP
ejpam-6281	479	18	35	35	NUM
ejpam-6281	479	19	purpose	purpose	NOUN
ejpam-6281	479	20	of	of	ADP
ejpam-6281	479	21	providing	provide	VERB
ejpam-6281	479	22	feedback	feedback	NOUN
ejpam-6281	479	23	control	control	NOUN
ejpam-6281	479	24	,	,	PUNCT
ejpam-6281	479	25	numerous	numerous	ADJ
ejpam-6281	479	26	control	control	NOUN
ejpam-6281	479	27	systems	system	NOUN
ejpam-6281	479	28	in	in	ADP
ejpam-6281	479	29	the	the	DET
ejpam-6281	479	30	fields	field	NOUN
ejpam-6281	479	31	of	of	ADP
ejpam-6281	479	32	robotics	robotic	NOUN
ejpam-6281	479	33	,	,	PUNCT
ejpam-6281	479	34	aircraft	aircraft	NOUN
ejpam-6281	479	35	,	,	PUNCT
ejpam-6281	479	36	and	and	CCONJ
ejpam-6281	479	37	navigation	navigation	NOUN
ejpam-6281	479	38	require	require	VERB
ejpam-6281	479	39	extremely	extremely	ADV
ejpam-6281	479	40	quick	quick	ADJ
ejpam-6281	479	41	and	and	CCONJ
ejpam-6281	479	42	real	real	ADJ
ejpam-6281	479	43	-	-	PUNCT
ejpam-6281	479	44	time	time	NOUN
ejpam-6281	479	45	estimates	estimate	NOUN
ejpam-6281	479	46	of	of	ADP
ejpam-6281	479	47	rotational	rotational	ADJ
ejpam-6281	479	48	motion	motion	NOUN
ejpam-6281	479	49	[	[	X
ejpam-6281	479	50	51	51	NUM
ejpam-6281	479	51	]	]	PUNCT
ejpam-6281	479	52	.	.	PUNCT
ejpam-6281	480	1	by	by	ADP
ejpam-6281	480	2	analyzing	analyze	VERB
ejpam-6281	480	3	small	small	ADJ
ejpam-6281	480	4	perturbations	perturbation	NOUN
ejpam-6281	480	5	,	,	PUNCT
ejpam-6281	480	6	as	as	SCONJ
ejpam-6281	480	7	facilitate	facilitate	VERB
ejpam-6281	480	8	the	the	DET
ejpam-6281	480	9	assessment	assessment	NOUN
ejpam-6281	480	10	of	of	ADP
ejpam-6281	480	11	rotational	rotational	ADJ
ejpam-6281	480	12	stability	stability	NOUN
ejpam-6281	480	13	,	,	PUNCT
ejpam-6281	480	14	enabling	enable	VERB
ejpam-6281	480	15	engineers	engineer	NOUN
ejpam-6281	480	16	to	to	PART
ejpam-6281	480	17	predict	predict	VERB
ejpam-6281	480	18	whether	whether	SCONJ
ejpam-6281	480	19	a	a	DET
ejpam-6281	480	20	system	system	NOUN
ejpam-6281	480	21	will	will	AUX
ejpam-6281	480	22	sustain	sustain	VERB
ejpam-6281	480	23	stable	stable	ADJ
ejpam-6281	480	24	motion	motion	NOUN
ejpam-6281	480	25	or	or	CCONJ
ejpam-6281	480	26	shift	shift	VERB
ejpam-6281	480	27	into	into	ADP
ejpam-6281	480	28	chaotic	chaotic	ADJ
ejpam-6281	480	29	behavior	behavior	NOUN
ejpam-6281	480	30	.	.	PUNCT
ejpam-6281	481	1	the	the	DET
ejpam-6281	481	2	evolution	evolution	NOUN
ejpam-6281	481	3	of	of	ADP
ejpam-6281	481	4	rotational	rotational	ADJ
ejpam-6281	481	5	motion	motion	NOUN
ejpam-6281	481	6	in	in	ADP
ejpam-6281	481	7	rbs	rbs	PROPN
ejpam-6281	481	8	over	over	ADP
ejpam-6281	481	9	extended	extended	ADJ
ejpam-6281	481	10	periods	period	NOUN
ejpam-6281	481	11	,	,	PUNCT
ejpam-6281	481	12	including	include	VERB
ejpam-6281	481	13	effects	effect	NOUN
ejpam-6281	481	14	like	like	ADP
ejpam-6281	481	15	precession	precession	NOUN
ejpam-6281	481	16	and	and	CCONJ
ejpam-6281	481	17	nutation	nutation	NOUN
ejpam-6281	481	18	,	,	PUNCT
ejpam-6281	481	19	can	can	AUX
ejpam-6281	481	20	be	be	AUX
ejpam-6281	481	21	computationally	computationally	ADV
ejpam-6281	481	22	demanding	demand	VERB
ejpam-6281	481	23	[	[	X
ejpam-6281	481	24	52	52	NUM
ejpam-6281	481	25	]	]	PUNCT
ejpam-6281	481	26	.	.	PUNCT
ejpam-6281	482	1	the	the	PRON
ejpam-6281	482	2	as	as	SCONJ
ejpam-6281	482	3	provide	provide	VERB
ejpam-6281	482	4	an	an	DET
ejpam-6281	482	5	efficient	efficient	ADJ
ejpam-6281	482	6	alternative	alternative	NOUN
ejpam-6281	482	7	for	for	ADP
ejpam-6281	482	8	studying	study	VERB
ejpam-6281	482	9	these	these	DET
ejpam-6281	482	10	dynamics	dynamic	NOUN
ejpam-6281	482	11	.	.	PUNCT
ejpam-6281	483	1	rotating	rotate	VERB
ejpam-6281	483	2	systems	system	NOUN
ejpam-6281	483	3	are	be	AUX
ejpam-6281	483	4	often	often	ADV
ejpam-6281	483	5	susceptible	susceptible	ADJ
ejpam-6281	483	6	to	to	ADP
ejpam-6281	483	7	resonance	resonance	NOUN
ejpam-6281	483	8	,	,	PUNCT
ejpam-6281	483	9	where	where	SCONJ
ejpam-6281	483	10	periodic	periodic	ADJ
ejpam-6281	483	11	external	external	ADJ
ejpam-6281	483	12	forces	force	NOUN
ejpam-6281	483	13	intensify	intensify	VERB
ejpam-6281	483	14	oscillations	oscillation	NOUN
ejpam-6281	483	15	.	.	PUNCT
ejpam-6281	484	1	approximate	approximate	ADJ
ejpam-6281	484	2	approaches	approach	NOUN
ejpam-6281	484	3	like	like	ADP
ejpam-6281	484	4	multiple	multiple	ADJ
ejpam-6281	484	5	-	-	PUNCT
ejpam-6281	484	6	scales	scale	NOUN
ejpam-6281	484	7	method	method	NOUN
ejpam-6281	484	8	and	and	CCONJ
ejpam-6281	484	9	averaging	average	VERB
ejpam-6281	484	10	one	one	NUM
ejpam-6281	484	11	[	[	X
ejpam-6281	484	12	50	50	NUM
ejpam-6281	484	13	]	]	PUNCT
ejpam-6281	484	14	help	help	AUX
ejpam-6281	484	15	detect	detect	VERB
ejpam-6281	484	16	critical	critical	ADJ
ejpam-6281	484	17	frequencies	frequency	NOUN
ejpam-6281	484	18	and	and	CCONJ
ejpam-6281	484	19	optimize	optimize	NOUN
ejpam-6281	484	20	system	system	NOUN
ejpam-6281	484	21	design	design	NOUN
ejpam-6281	484	22	to	to	PART
ejpam-6281	484	23	prevent	prevent	VERB
ejpam-6281	484	24	instability	instability	NOUN
ejpam-6281	484	25	.	.	PUNCT
ejpam-6281	485	1	rbs	rbs	PROPN
ejpam-6281	485	2	in	in	ADP
ejpam-6281	485	3	engineering	engineering	NOUN
ejpam-6281	485	4	applications	application	NOUN
ejpam-6281	485	5	frequently	frequently	ADV
ejpam-6281	485	6	undergo	undergo	VERB
ejpam-6281	485	7	compound	compound	NOUN
ejpam-6281	485	8	rotational	rotational	ADJ
ejpam-6281	485	9	motion	motion	NOUN
ejpam-6281	485	10	,	,	PUNCT
ejpam-6281	485	11	including	include	VERB
ejpam-6281	485	12	spinning	spin	VERB
ejpam-6281	485	13	and	and	CCONJ
ejpam-6281	485	14	chaotic	chaotic	ADJ
ejpam-6281	485	15	dynamics	dynamic	NOUN
ejpam-6281	485	16	.	.	PUNCT
ejpam-6281	486	1	as	as	SCONJ
ejpam-6281	486	2	provide	provide	VERB
ejpam-6281	486	3	computationally	computationally	ADV
ejpam-6281	486	4	efficient	efficient	ADJ
ejpam-6281	486	5	models	model	NOUN
ejpam-6281	486	6	that	that	PRON
ejpam-6281	486	7	retain	retain	VERB
ejpam-6281	486	8	essential	essential	ADJ
ejpam-6281	486	9	physical	physical	ADJ
ejpam-6281	486	10	insights	insight	NOUN
ejpam-6281	486	11	.	.	PUNCT
ejpam-6281	487	1	numerical	numerical	ADJ
ejpam-6281	487	2	simulations	simulation	NOUN
ejpam-6281	487	3	,	,	PUNCT
ejpam-6281	487	4	including	include	VERB
ejpam-6281	487	5	finite	finite	ADJ
ejpam-6281	487	6	element	element	NOUN
ejpam-6281	487	7	analysis	analysis	NOUN
ejpam-6281	487	8	and	and	CCONJ
ejpam-6281	487	9	runge	runge	NOUN
ejpam-6281	487	10	-	-	PUNCT
ejpam-6281	487	11	kutta	kutta	NOUN
ejpam-6281	487	12	integration	integration	NOUN
ejpam-6281	487	13	,	,	PUNCT
ejpam-6281	487	14	provide	provide	VERB
ejpam-6281	487	15	precise	precise	ADJ
ejpam-6281	487	16	results	result	NOUN
ejpam-6281	487	17	but	but	CCONJ
ejpam-6281	487	18	are	be	AUX
ejpam-6281	487	19	computationally	computationally	ADV
ejpam-6281	487	20	demanding	demand	VERB
ejpam-6281	487	21	[	[	X
ejpam-6281	487	22	53	53	NUM
ejpam-6281	487	23	]	]	PUNCT
ejpam-6281	487	24	.	.	PUNCT
ejpam-6281	488	1	approximate	approximate	ADJ
ejpam-6281	488	2	analytical	analytical	ADJ
ejpam-6281	488	3	methods	method	NOUN
ejpam-6281	488	4	offer	offer	VERB
ejpam-6281	488	5	initial	initial	ADJ
ejpam-6281	488	6	insights	insight	NOUN
ejpam-6281	488	7	,	,	PUNCT
ejpam-6281	488	8	serving	serve	VERB
ejpam-6281	488	9	as	as	ADP
ejpam-6281	488	10	a	a	DET
ejpam-6281	488	11	foundation	foundation	NOUN
ejpam-6281	488	12	for	for	ADP
ejpam-6281	488	13	further	further	ADJ
ejpam-6281	488	14	refinement	refinement	NOUN
ejpam-6281	488	15	using	use	VERB
ejpam-6281	488	16	computational	computational	ADJ
ejpam-6281	488	17	techniques	technique	NOUN
ejpam-6281	488	18	.	.	PUNCT
ejpam-6281	489	1	as	as	ADP
ejpam-6281	489	2	benchmark	benchmark	NOUN
ejpam-6281	489	3	models	model	NOUN
ejpam-6281	489	4	,	,	PUNCT
ejpam-6281	489	5	the	the	PRON
ejpam-6281	489	6	as	as	SCONJ
ejpam-6281	489	7	help	help	NOUN
ejpam-6281	489	8	validate	validate	VERB
ejpam-6281	489	9	experimental	experimental	ADJ
ejpam-6281	489	10	data	datum	NOUN
ejpam-6281	489	11	,	,	PUNCT
ejpam-6281	489	12	allowing	allow	VERB
ejpam-6281	489	13	researchers	researcher	NOUN
ejpam-6281	489	14	to	to	PART
ejpam-6281	489	15	compare	compare	VERB
ejpam-6281	489	16	predictions	prediction	NOUN
ejpam-6281	489	17	,	,	PUNCT
ejpam-6281	489	18	refine	refine	VERB
ejpam-6281	489	19	models	model	NOUN
ejpam-6281	489	20	,	,	PUNCT
ejpam-6281	489	21	and	and	CCONJ
ejpam-6281	489	22	detect	detect	VERB
ejpam-6281	489	23	discrepancies	discrepancy	NOUN
ejpam-6281	489	24	.	.	PUNCT
ejpam-6281	490	1	therefore	therefore	ADV
ejpam-6281	490	2	,	,	PUNCT
ejpam-6281	490	3	the	the	DET
ejpam-6281	490	4	nonlinear	nonlinear	ADJ
ejpam-6281	490	5	nature	nature	NOUN
ejpam-6281	490	6	of	of	ADP
ejpam-6281	490	7	the	the	DET
ejpam-6281	490	8	governing	govern	VERB
ejpam-6281	490	9	eom	eom	PROPN
ejpam-6281	490	10	makes	make	VERB
ejpam-6281	490	11	obtaining	obtain	VERB
ejpam-6281	490	12	as	as	ADP
ejpam-6281	490	13	rb	rb	PRON
ejpam-6281	490	14	rotation	rotation	NOUN
ejpam-6281	490	15	essential	essential	ADJ
ejpam-6281	490	16	.	.	PUNCT
ejpam-6281	491	1	these	these	DET
ejpam-6281	491	2	approximations	approximation	NOUN
ejpam-6281	491	3	enable	enable	VERB
ejpam-6281	491	4	real	real	ADJ
ejpam-6281	491	5	-	-	PUNCT
ejpam-6281	491	6	time	time	NOUN
ejpam-6281	491	7	computation	computation	NOUN
ejpam-6281	491	8	,	,	PUNCT
ejpam-6281	491	9	stability	stability	NOUN
ejpam-6281	491	10	analysis	analysis	NOUN
ejpam-6281	491	11	,	,	PUNCT
ejpam-6281	491	12	and	and	CCONJ
ejpam-6281	491	13	long	long	ADJ
ejpam-6281	491	14	-	-	PUNCT
ejpam-6281	491	15	term	term	NOUN
ejpam-6281	491	16	motion	motion	NOUN
ejpam-6281	491	17	prediction	prediction	NOUN
ejpam-6281	491	18	,	,	PUNCT
ejpam-6281	491	19	providing	provide	VERB
ejpam-6281	491	20	practical	practical	ADJ
ejpam-6281	491	21	benefits	benefit	NOUN
ejpam-6281	491	22	across	across	ADP
ejpam-6281	491	23	aerospace	aerospace	NOUN
ejpam-6281	491	24	,	,	PUNCT
ejpam-6281	491	25	robotics	robotic	NOUN
ejpam-6281	491	26	,	,	PUNCT
ejpam-6281	491	27	biomechanics	biomechanic	NOUN
ejpam-6281	491	28	,	,	PUNCT
ejpam-6281	491	29	and	and	CCONJ
ejpam-6281	491	30	structural	structural	ADJ
ejpam-6281	491	31	engineering	engineering	NOUN
ejpam-6281	491	32	.	.	PUNCT
ejpam-6281	492	1	5	5	X
ejpam-6281	492	2	.	.	X
ejpam-6281	492	3	euler	euler	PROPN
ejpam-6281	492	4	’s	’s	PART
ejpam-6281	492	5	angles	angle	NOUN
ejpam-6281	492	6	and	and	CCONJ
ejpam-6281	492	7	interpretation	interpretation	NOUN
ejpam-6281	492	8	of	of	ADP
ejpam-6281	492	9	motion	motion	NOUN
ejpam-6281	492	10	this	this	DET
ejpam-6281	492	11	section	section	NOUN
ejpam-6281	492	12	is	be	AUX
ejpam-6281	492	13	dedicated	dedicate	VERB
ejpam-6281	492	14	to	to	ADP
ejpam-6281	492	15	analyzing	analyze	VERB
ejpam-6281	492	16	eulerâ€	eulerâ€	ADJ
ejpam-6281	492	17	™	™	NOUN
ejpam-6281	492	18	s	s	PART
ejpam-6281	492	19	angles	angle	NOUN
ejpam-6281	492	20	for	for	ADP
ejpam-6281	492	21	the	the	DET
ejpam-6281	492	22	motion	motion	NOUN
ejpam-6281	492	23	of	of	ADP
ejpam-6281	492	24	the	the	DET
ejpam-6281	492	25	given	give	VERB
ejpam-6281	492	26	body	body	NOUN
ejpam-6281	492	27	within	within	ADP
ejpam-6281	492	28	the	the	DET
ejpam-6281	492	29	context	context	NOUN
ejpam-6281	492	30	of	of	ADP
ejpam-6281	492	31	the	the	DET
ejpam-6281	492	32	obtained	obtain	VERB
ejpam-6281	492	33	solutions	solution	NOUN
ejpam-6281	492	34	,	,	PUNCT
ejpam-6281	492	35	offering	offer	VERB
ejpam-6281	492	36	a	a	DET
ejpam-6281	492	37	geometrical	geometrical	ADJ
ejpam-6281	492	38	interpretation	interpretation	NOUN
ejpam-6281	492	39	of	of	ADP
ejpam-6281	492	40	motion	motion	NOUN
ejpam-6281	492	41	through	through	ADP
ejpam-6281	492	42	at	at	ADP
ejpam-6281	492	43	any	any	DET
ejpam-6281	492	44	moment	moment	NOUN
ejpam-6281	492	45	.	.	PUNCT
ejpam-6281	493	1	these	these	DET
ejpam-6281	493	2	angles	angle	NOUN
ejpam-6281	493	3	are	be	AUX
ejpam-6281	493	4	crucial	crucial	ADJ
ejpam-6281	493	5	for	for	ADP
ejpam-6281	493	6	determining	determine	VERB
ejpam-6281	493	7	the	the	DET
ejpam-6281	493	8	orientation	orientation	NOUN
ejpam-6281	493	9	of	of	ADP
ejpam-6281	493	10	a	a	DET
ejpam-6281	493	11	rb	rb	NOUN
ejpam-6281	493	12	in	in	ADP
ejpam-6281	493	13	3d	3d	NUM
ejpam-6281	493	14	space	space	NOUN
ejpam-6281	493	15	.	.	PUNCT
ejpam-6281	494	1	they	they	PRON
ejpam-6281	494	2	offer	offer	VERB
ejpam-6281	494	3	a	a	DET
ejpam-6281	494	4	structured	structured	ADJ
ejpam-6281	494	5	approach	approach	NOUN
ejpam-6281	494	6	to	to	ADP
ejpam-6281	494	7	defining	define	VERB
ejpam-6281	494	8	a	a	DET
ejpam-6281	494	9	rbâ€	rbâ€	PROPN
ejpam-6281	494	10	™	™	NOUN
ejpam-6281	494	11	s	s	PART
ejpam-6281	494	12	orientation	orientation	NOUN
ejpam-6281	494	13	in	in	ADP
ejpam-6281	494	14	3d	3d	NUM
ejpam-6281	494	15	space	space	NOUN
ejpam-6281	494	16	through	through	ADP
ejpam-6281	494	17	three	three	NUM
ejpam-6281	494	18	sequential	sequential	ADJ
ejpam-6281	494	19	rotations	rotation	NOUN
ejpam-6281	494	20	relative	relative	ADJ
ejpam-6281	494	21	to	to	ADP
ejpam-6281	494	22	a	a	DET
ejpam-6281	494	23	fixed	fix	VERB
ejpam-6281	494	24	reference	reference	NOUN
ejpam-6281	494	25	frame	frame	NOUN
ejpam-6281	494	26	,	,	PUNCT
ejpam-6281	494	27	ensuring	ensure	VERB
ejpam-6281	494	28	a	a	DET
ejpam-6281	494	29	clear	clear	ADJ
ejpam-6281	494	30	and	and	CCONJ
ejpam-6281	494	31	systematic	systematic	ADJ
ejpam-6281	494	32	representation	representation	NOUN
ejpam-6281	494	33	of	of	ADP
ejpam-6281	494	34	rotation	rotation	NOUN
ejpam-6281	494	35	[	[	X
ejpam-6281	494	36	54	54	NUM
ejpam-6281	494	37	]	]	PUNCT
ejpam-6281	494	38	.	.	PUNCT
ejpam-6281	495	1	with	with	ADP
ejpam-6281	495	2	only	only	ADV
ejpam-6281	495	3	three	three	NUM
ejpam-6281	495	4	parameters	parameter	NOUN
ejpam-6281	495	5	,	,	PUNCT
ejpam-6281	495	6	these	these	DET
ejpam-6281	495	7	angles	angle	NOUN
ejpam-6281	495	8	provide	provide	VERB
ejpam-6281	495	9	a	a	DET
ejpam-6281	495	10	simpler	simple	ADJ
ejpam-6281	495	11	and	and	CCONJ
ejpam-6281	495	12	more	more	ADV
ejpam-6281	495	13	computationally	computationally	ADV
ejpam-6281	495	14	efficient	efficient	ADJ
ejpam-6281	495	15	alternative	alternative	NOUN
ejpam-6281	495	16	to	to	ADP
ejpam-6281	495	17	rotation	rotation	NOUN
ejpam-6281	495	18	matrices	matrix	NOUN
ejpam-6281	495	19	and	and	CCONJ
ejpam-6281	495	20	quaternions	quaternion	NOUN
ejpam-6281	495	21	,	,	PUNCT
ejpam-6281	495	22	making	make	VERB
ejpam-6281	495	23	them	they	PRON
ejpam-6281	495	24	easier	easy	ADJ
ejpam-6281	495	25	to	to	PART
ejpam-6281	495	26	interpret	interpret	VERB
ejpam-6281	495	27	in	in	ADP
ejpam-6281	495	28	engineering	engineering	NOUN
ejpam-6281	495	29	contexts	contexts	NOUN
ejpam-6281	495	30	.	.	PUNCT
ejpam-6281	496	1	euler	euler	NOUN
ejpam-6281	496	2	angles	angle	NOUN
ejpam-6281	496	3	are	be	AUX
ejpam-6281	496	4	essential	essential	ADJ
ejpam-6281	496	5	in	in	ADP
ejpam-6281	496	6	aerospace	aerospace	NOUN
ejpam-6281	496	7	for	for	ADP
ejpam-6281	496	8	defining	define	VERB
ejpam-6281	496	9	the	the	DET
ejpam-6281	496	10	orientation	orientation	NOUN
ejpam-6281	496	11	of	of	ADP
ejpam-6281	496	12	aircraft	aircraft	NOUN
ejpam-6281	496	13	,	,	PUNCT
ejpam-6281	496	14	satellites	satellite	NOUN
ejpam-6281	496	15	,	,	PUNCT
ejpam-6281	496	16	and	and	CCONJ
ejpam-6281	496	17	spacecraft	spacecraft	NOUN
ejpam-6281	496	18	,	,	PUNCT
ejpam-6281	496	19	supporting	support	VERB
ejpam-6281	496	20	navigation	navigation	NOUN
ejpam-6281	496	21	,	,	PUNCT
ejpam-6281	496	22	attitude	attitude	NOUN
ejpam-6281	496	23	control	control	NOUN
ejpam-6281	496	24	,	,	PUNCT
ejpam-6281	496	25	and	and	CCONJ
ejpam-6281	496	26	stabilization	stabilization	NOUN
ejpam-6281	496	27	.	.	PUNCT
ejpam-6281	497	1	in	in	ADP
ejpam-6281	497	2	robotics	robotic	NOUN
ejpam-6281	497	3	,	,	PUNCT
ejpam-6281	497	4	they	they	PRON
ejpam-6281	497	5	facilitate	facilitate	VERB
ejpam-6281	497	6	precise	precise	ADJ
ejpam-6281	497	7	positioning	positioning	NOUN
ejpam-6281	497	8	and	and	CCONJ
ejpam-6281	497	9	motion	motion	NOUN
ejpam-6281	497	10	planning	planning	NOUN
ejpam-6281	497	11	for	for	ADP
ejpam-6281	497	12	robotic	robotic	ADJ
ejpam-6281	497	13	arms	arm	NOUN
ejpam-6281	497	14	and	and	CCONJ
ejpam-6281	497	15	autonomous	autonomous	ADJ
ejpam-6281	497	16	systems	system	NOUN
ejpam-6281	497	17	[	[	X
ejpam-6281	497	18	55	55	NUM
ejpam-6281	497	19	]	]	PUNCT
ejpam-6281	497	20	.	.	PUNCT
ejpam-6281	498	1	they	they	PRON
ejpam-6281	498	2	are	be	AUX
ejpam-6281	498	3	fundamental	fundamental	ADJ
ejpam-6281	498	4	to	to	ADP
ejpam-6281	498	5	rb	rb	PROPN
ejpam-6281	498	6	dynamics	dynamic	NOUN
ejpam-6281	498	7	,	,	PUNCT
ejpam-6281	498	8	aiding	aid	VERB
ejpam-6281	498	9	in	in	ADP
ejpam-6281	498	10	the	the	DET
ejpam-6281	498	11	formulation	formulation	NOUN
ejpam-6281	498	12	and	and	CCONJ
ejpam-6281	498	13	solution	solution	NOUN
ejpam-6281	498	14	of	of	ADP
ejpam-6281	498	15	eulerâ€	eulerâ€	ADJ
ejpam-6281	498	16	™	™	PROPN
ejpam-6281	498	17	s	s	PROPN
ejpam-6281	498	18	eom	eom	PROPN
ejpam-6281	498	19	.	.	PUNCT
ejpam-6281	499	1	they	they	PRON
ejpam-6281	499	2	offer	offer	VERB
ejpam-6281	499	3	a	a	DET
ejpam-6281	499	4	simplified	simplified	ADJ
ejpam-6281	499	5	representation	representation	NOUN
ejpam-6281	499	6	of	of	ADP
ejpam-6281	499	7	angular	angular	ADJ
ejpam-6281	499	8	velocity	velocity	NOUN
ejpam-6281	499	9	and	and	CCONJ
ejpam-6281	499	10	acceleration	acceleration	NOUN
ejpam-6281	499	11	,	,	PUNCT
ejpam-6281	499	12	enhancing	enhance	VERB
ejpam-6281	499	13	mechanical	mechanical	ADJ
ejpam-6281	499	14	and	and	CCONJ
ejpam-6281	499	15	aerospace	aerospace	NOUN
ejpam-6281	499	16	studies	study	NOUN
ejpam-6281	499	17	.	.	PUNCT
ejpam-6281	500	1	numerous	numerous	ADJ
ejpam-6281	500	2	sensors	sensor	NOUN
ejpam-6281	500	3	,	,	PUNCT
ejpam-6281	500	4	such	such	ADJ
ejpam-6281	500	5	gyroscopes	gyroscope	NOUN
ejpam-6281	500	6	are	be	AUX
ejpam-6281	500	7	useful	useful	ADJ
ejpam-6281	500	8	for	for	ADP
ejpam-6281	500	9	motion	motion	NOUN
ejpam-6281	500	10	tracking	tracking	NOUN
ejpam-6281	500	11	and	and	CCONJ
ejpam-6281	500	12	control	control	NOUN
ejpam-6281	500	13	systems	system	NOUN
ejpam-6281	500	14	in	in	ADP
ejpam-6281	500	15	the	the	DET
ejpam-6281	500	16	real	real	ADJ
ejpam-6281	500	17	world	world	NOUN
ejpam-6281	500	18	because	because	SCONJ
ejpam-6281	500	19	they	they	PRON
ejpam-6281	500	20	measure	measure	VERB
ejpam-6281	500	21	orientation	orientation	NOUN
ejpam-6281	500	22	in	in	ADP
ejpam-6281	500	23	terms	term	NOUN
ejpam-6281	500	24	of	of	ADP
ejpam-6281	500	25	these	these	DET
ejpam-6281	500	26	angles	angle	NOUN
ejpam-6281	500	27	.	.	PUNCT
ejpam-6281	501	1	for	for	ADP
ejpam-6281	501	2	smooth	smooth	ADJ
ejpam-6281	501	3	and	and	CCONJ
ejpam-6281	501	4	organic	organic	ADJ
ejpam-6281	501	5	object	object	NOUN
ejpam-6281	501	6	orientation	orientation	NOUN
ejpam-6281	501	7	control	control	NOUN
ejpam-6281	501	8	,	,	PUNCT
ejpam-6281	501	9	euler	euler	NOUN
ejpam-6281	501	10	angles	angle	NOUN
ejpam-6281	501	11	are	be	AUX
ejpam-6281	501	12	frequently	frequently	ADV
ejpam-6281	501	13	utilized	utilize	VERB
ejpam-6281	501	14	in	in	ADP
ejpam-6281	501	15	computer	computer	NOUN
ejpam-6281	501	16	graphics	graphic	NOUN
ejpam-6281	501	17	t.	t.	PROPN
ejpam-6281	501	18	s.	s.	PROPN
ejpam-6281	501	19	amer	amer	PROPN
ejpam-6281	501	20	et	et	PROPN
ejpam-6281	501	21	al	al	PROPN
ejpam-6281	501	22	.	.	PUNCT
ejpam-6281	501	23	/	/	SYM
ejpam-6281	501	24	eur	eur	PROPN
ejpam-6281	501	25	.	.	PUNCT
ejpam-6281	502	1	j.	j.	PROPN
ejpam-6281	502	2	pure	pure	PROPN
ejpam-6281	502	3	appl	appl	PROPN
ejpam-6281	502	4	.	.	PROPN
ejpam-6281	502	5	math	math	PROPN
ejpam-6281	502	6	,	,	PUNCT
ejpam-6281	502	7	18	18	NUM
ejpam-6281	502	8	(	(	PUNCT
ejpam-6281	502	9	3	3	NUM
ejpam-6281	502	10	)	)	PUNCT
ejpam-6281	502	11	(	(	PUNCT
ejpam-6281	502	12	2025	2025	NUM
ejpam-6281	502	13	)	)	PUNCT
ejpam-6281	502	14	,	,	PUNCT
ejpam-6281	502	15	6281	6281	NUM
ejpam-6281	502	16	19	19	NUM
ejpam-6281	502	17	of	of	ADP
ejpam-6281	502	18	35	35	NUM
ejpam-6281	502	19	and	and	CCONJ
ejpam-6281	502	20	animation	animation	NOUN
ejpam-6281	502	21	.	.	PUNCT
ejpam-6281	503	1	additionally	additionally	ADV
ejpam-6281	503	2	,	,	PUNCT
ejpam-6281	503	3	they	they	PRON
ejpam-6281	503	4	are	be	AUX
ejpam-6281	503	5	employed	employ	VERB
ejpam-6281	503	6	in	in	ADP
ejpam-6281	503	7	simulation	simulation	NOUN
ejpam-6281	503	8	and	and	CCONJ
ejpam-6281	503	9	game	game	NOUN
ejpam-6281	503	10	development	development	PROPN
ejpam-6281	503	11	physics	physics	NOUN
ejpam-6281	503	12	engines	engine	NOUN
ejpam-6281	503	13	.	.	PUNCT
ejpam-6281	504	1	they	they	PRON
ejpam-6281	504	2	provide	provide	VERB
ejpam-6281	504	3	a	a	DET
ejpam-6281	504	4	structured	structured	ADJ
ejpam-6281	504	5	approach	approach	NOUN
ejpam-6281	504	6	to	to	ADP
ejpam-6281	504	7	analyzing	analyze	VERB
ejpam-6281	504	8	rotational	rotational	ADJ
ejpam-6281	504	9	behaviors	behavior	NOUN
ejpam-6281	504	10	,	,	PUNCT
ejpam-6281	504	11	including	include	VERB
ejpam-6281	504	12	precession	precession	NOUN
ejpam-6281	504	13	,	,	PUNCT
ejpam-6281	504	14	nutation	nutation	NOUN
ejpam-6281	504	15	,	,	PUNCT
ejpam-6281	504	16	and	and	CCONJ
ejpam-6281	504	17	spin	spin	NOUN
ejpam-6281	504	18	,	,	PUNCT
ejpam-6281	504	19	which	which	PRON
ejpam-6281	504	20	are	be	AUX
ejpam-6281	504	21	essential	essential	ADJ
ejpam-6281	504	22	in	in	ADP
ejpam-6281	504	23	planetary	planetary	ADJ
ejpam-6281	504	24	motion	motion	NOUN
ejpam-6281	504	25	,	,	PUNCT
ejpam-6281	504	26	satellite	satellite	NOUN
ejpam-6281	504	27	dynamics	dynamic	NOUN
ejpam-6281	504	28	,	,	PUNCT
ejpam-6281	504	29	and	and	CCONJ
ejpam-6281	504	30	gyroscopic	gyroscopic	NOUN
ejpam-6281	504	31	systems	system	NOUN
ejpam-6281	504	32	[	[	X
ejpam-6281	504	33	55	55	NUM
ejpam-6281	504	34	]	]	PUNCT
ejpam-6281	504	35	.	.	PUNCT
ejpam-6281	505	1	a	a	DET
ejpam-6281	505	2	fundamental	fundamental	ADJ
ejpam-6281	505	3	approach	approach	NOUN
ejpam-6281	505	4	involves	involve	VERB
ejpam-6281	505	5	applying	apply	VERB
ejpam-6281	505	6	the	the	DET
ejpam-6281	505	7	expressions	expression	NOUN
ejpam-6281	505	8	for	for	ADP
ejpam-6281	505	9	eulerâ€	eulerâ€	ADJ
ejpam-6281	505	10	™	™	NOUN
ejpam-6281	505	11	s	s	PART
ejpam-6281	505	12	angles	angles	NOUN
ejpam-6281	505	13	θ	θ	PROPN
ejpam-6281	505	14	,	,	PUNCT
ejpam-6281	505	15	ψ	ψ	NOUN
ejpam-6281	505	16	and	and	CCONJ
ejpam-6281	505	17	ϕ	ϕ	NOUN
ejpam-6281	505	18	as	as	ADP
ejpam-6281	505	19	in	in	ADP
ejpam-6281	505	20	[	[	X
ejpam-6281	505	21	1	1	NUM
ejpam-6281	505	22	]	]	PUNCT
ejpam-6281	505	23	.	.	PUNCT
ejpam-6281	506	1	θ	θ	X
ejpam-6281	506	2	=	=	PUNCT
ejpam-6281	507	1	cos−1	cos−1	PROPN
ejpam-6281	507	2	γ	γ	PROPN
ejpam-6281	507	3	,	,	PUNCT
ejpam-6281	507	4	ψ̇	ψ̇	X
ejpam-6281	507	5	=	=	SYM
ejpam-6281	508	1	pα+	pα+	NOUN
ejpam-6281	508	2	qβ	qβ	PROPN
ejpam-6281	508	3	1−	1−	NUM
ejpam-6281	508	4	γ2	γ2	PROPN
ejpam-6281	508	5	,	,	PUNCT
ejpam-6281	508	6	ϕ̇	ϕ̇	ADJ
ejpam-6281	509	1	=	=	NOUN
ejpam-6281	509	2	r	r	NOUN
ejpam-6281	509	3	−	−	PROPN
ejpam-6281	509	4	ψ̇	ψ̇	PROPN
ejpam-6281	509	5	cos	cos	PROPN
ejpam-6281	509	6	θ	θ	PROPN
ejpam-6281	509	7	,	,	PUNCT
ejpam-6281	509	8	ϕ0	ϕ0	NOUN
ejpam-6281	509	9	=	=	SYM
ejpam-6281	509	10	tan−1	tan−1	PROPN
ejpam-6281	509	11	(	(	PUNCT
ejpam-6281	509	12	α0	α0	PROPN
ejpam-6281	509	13	β0	β0	PROPN
ejpam-6281	509	14	)	)	PUNCT
ejpam-6281	509	15	;	;	PUNCT
ejpam-6281	509	16	(	(	PUNCT
ejpam-6281	509	17	·	·	PUNCT
ejpam-6281	509	18	̇	̇	VERB
ejpam-6281	509	19	≡	≡	PROPN
ejpam-6281	509	20	d	d	PROPN
ejpam-6281	509	21	dt	dt	PROPN
ejpam-6281	509	22	)	)	PUNCT
ejpam-6281	509	23	.	.	PUNCT
ejpam-6281	510	1	(	(	PUNCT
ejpam-6281	510	2	35	35	NUM
ejpam-6281	510	3	)	)	PUNCT
ejpam-6281	510	4	substituting	substitute	VERB
ejpam-6281	510	5	the	the	DET
ejpam-6281	510	6	achieved	achieve	VERB
ejpam-6281	510	7	solutions	solution	NOUN
ejpam-6281	510	8	(	(	PUNCT
ejpam-6281	510	9	34	34	NUM
ejpam-6281	510	10	)	)	PUNCT
ejpam-6281	510	11	into	into	ADP
ejpam-6281	510	12	expressions	expression	NOUN
ejpam-6281	510	13	(	(	PUNCT
ejpam-6281	510	14	35	35	NUM
ejpam-6281	510	15	)	)	PUNCT
ejpam-6281	510	16	to	to	PART
ejpam-6281	510	17	obtain	obtain	VERB
ejpam-6281	510	18	θ	θ	PROPN
ejpam-6281	510	19	,	,	PUNCT
ejpam-6281	510	20	ψ	ψ	NOUN
ejpam-6281	510	21	and	and	CCONJ
ejpam-6281	510	22	ϕ	ϕ	NOUN
ejpam-6281	510	23	as	as	SCONJ
ejpam-6281	510	24	follows	follow	VERB
ejpam-6281	511	1	θ	θ	PROPN
ejpam-6281	511	2	=	=	SYM
ejpam-6281	511	3	θ0	θ0	PROPN
ejpam-6281	511	4	+	+	CCONJ
ejpam-6281	511	5	ε−1(1	ε−1(1	ADJ
ejpam-6281	511	6	+	+	CCONJ
ejpam-6281	511	7	χδ)a	χδ)a	PROPN
ejpam-6281	511	8	(	(	PUNCT
ejpam-6281	511	9	0	0	NUM
ejpam-6281	511	10	)	)	PUNCT
ejpam-6281	511	11	3	3	NUM
ejpam-6281	511	12	csc	csc	PROPN
ejpam-6281	511	13	θ0	θ0	PROPN
ejpam-6281	511	14	[	[	PUNCT
ejpam-6281	511	15	δλ′	δλ′	X
ejpam-6281	511	16	2r10	2r10	NUM
ejpam-6281	511	17	ρ2	ρ2	NOUN
ejpam-6281	511	18	(	(	PUNCT
ejpam-6281	511	19	1	1	NUM
ejpam-6281	511	20	+	+	NUM
ejpam-6281	511	21	χδ	χδ	NOUN
ejpam-6281	511	22	)	)	PUNCT
ejpam-6281	511	23	[	[	PUNCT
ejpam-6281	511	24	sin	sin	NOUN
ejpam-6281	511	25	(	(	PUNCT
ejpam-6281	511	26	ρ2n	ρ2n	NUM
ejpam-6281	511	27	−1(t+	−1(t+	NOUN
ejpam-6281	511	28	χ	χ	NOUN
ejpam-6281	511	29	)	)	PUNCT
ejpam-6281	511	30	)	)	PUNCT
ejpam-6281	512	1	−	−	ADP
ejpam-6281	512	2	sin	sin	NOUN
ejpam-6281	512	3	(	(	PUNCT
ejpam-6281	512	4	ρ2n	ρ2n	X
ejpam-6281	512	5	−1χ	−1χ	PROPN
ejpam-6281	512	6	)	)	PUNCT
ejpam-6281	512	7	]	]	PUNCT
ejpam-6281	513	1	+	+	NUM
ejpam-6281	513	2	d2	d2	PROPN
ejpam-6281	513	3	[	[	PUNCT
ejpam-6281	513	4	cos	cos	PROPN
ejpam-6281	513	5	(	(	PUNCT
ejpam-6281	513	6	ρ2n	ρ2n	PROPN
ejpam-6281	513	7	−1(t+	−1(t+	NOUN
ejpam-6281	513	8	χ	χ	NOUN
ejpam-6281	513	9	)	)	PUNCT
ejpam-6281	513	10	)	)	PUNCT
ejpam-6281	513	11	−	−	PROPN
ejpam-6281	514	1	cos	cos	PROPN
ejpam-6281	514	2	(	(	PUNCT
ejpam-6281	514	3	ρ2n	ρ2n	PROPN
ejpam-6281	514	4	−1χ	−1χ	PROPN
ejpam-6281	514	5	)	)	PUNCT
ejpam-6281	514	6	]	]	PUNCT
ejpam-6281	514	7	]	]	X
ejpam-6281	515	1	+	+	CCONJ
ejpam-6281	515	2	·	·	PUNCT
ejpam-6281	515	3	·	·	PUNCT
ejpam-6281	515	4	·	·	PUNCT
ejpam-6281	515	5	,	,	PUNCT
ejpam-6281	515	6	ψ	ψ	X
ejpam-6281	515	7	=	=	PUNCT
ejpam-6281	515	8	ψ0	ψ0	ADJ
ejpam-6281	515	9	+	+	CCONJ
ejpam-6281	515	10	εn−1	εn−1	ADJ
ejpam-6281	515	11	csc2	csc2	NOUN
ejpam-6281	515	12	θ0	θ0	PROPN
ejpam-6281	515	13	{	{	PUNCT
ejpam-6281	515	14	d1d2	d1d2	PUNCT
ejpam-6281	515	15	+	+	CCONJ
ejpam-6281	515	16	(	(	PUNCT
ejpam-6281	515	17	1	1	NUM
ejpam-6281	515	18	+	+	NUM
ejpam-6281	515	19	χδ	χδ	NOUN
ejpam-6281	515	20	)	)	PUNCT
ejpam-6281	515	21	[	[	PUNCT
ejpam-6281	515	22	δ(λ́2r10)2	δ(λ́2r10)2	NUM
ejpam-6281	515	23	ρ21ρ2	ρ21ρ2	NOUN
ejpam-6281	515	24	(	(	PUNCT
ejpam-6281	515	25	ρ1	ρ1	NOUN
ejpam-6281	515	26	+	+	CCONJ
ejpam-6281	515	27	ρ2	ρ2	NOUN
ejpam-6281	515	28	)	)	PUNCT
ejpam-6281	515	29	[	[	PUNCT
ejpam-6281	515	30	δχ	δχ	ADP
ejpam-6281	515	31	ρ2	ρ2	NOUN
ejpam-6281	515	32	(	(	PUNCT
ejpam-6281	515	33	ρ1	ρ1	NOUN
ejpam-6281	515	34	+	+	CCONJ
ejpam-6281	515	35	ρ2	ρ2	NOUN
ejpam-6281	515	36	)	)	PUNCT
ejpam-6281	515	37	+	+	CCONJ
ejpam-6281	515	38	1	1	NUM
ejpam-6281	515	39	]	]	PUNCT
ejpam-6281	515	40	+	+	CCONJ
ejpam-6281	515	41	χa	χa	PROPN
ejpam-6281	515	42	(	(	PUNCT
ejpam-6281	515	43	0)2	0)2	NUM
ejpam-6281	515	44	3	3	NUM
ejpam-6281	515	45	]	]	PUNCT
ejpam-6281	515	46	t	t	NOUN
ejpam-6281	515	47	+	+	CCONJ
ejpam-6281	515	48	na	na	ADJ
ejpam-6281	515	49	(	(	PUNCT
ejpam-6281	515	50	0	0	NUM
ejpam-6281	515	51	)	)	SYM
ejpam-6281	515	52	3	3	NUM
ejpam-6281	515	53	ρ2	ρ2	NOUN
ejpam-6281	515	54	[	[	X
ejpam-6281	515	55	d2χ+	d2χ+	NOUN
ejpam-6281	515	56	d1(1	d1(1	NOUN
ejpam-6281	515	57	+	+	CCONJ
ejpam-6281	515	58	χδ	χδ	PROPN
ejpam-6281	515	59	)	)	PUNCT
ejpam-6281	515	60	]	]	PUNCT
ejpam-6281	515	61	sin	sin	NOUN
ejpam-6281	515	62	(	(	PUNCT
ejpam-6281	515	63	ρ2n	ρ2n	PROPN
ejpam-6281	515	64	−1	−1	NOUN
ejpam-6281	515	65	t	t	NOUN
ejpam-6281	515	66	)	)	PUNCT
ejpam-6281	516	1	−	−	PROPN
ejpam-6281	516	2	nλ́2r10	nλ́2r10	PROPN
ejpam-6281	516	3	ρ1ρ2	ρ1ρ2	X
ejpam-6281	516	4	(	(	PUNCT
ejpam-6281	516	5	1	1	NUM
ejpam-6281	516	6	+	+	NUM
ejpam-6281	516	7	χδ)a	χδ)a	PROPN
ejpam-6281	516	8	(	(	PUNCT
ejpam-6281	516	9	0	0	NUM
ejpam-6281	516	10	)	)	PUNCT
ejpam-6281	516	11	3	3	NUM
ejpam-6281	516	12	[	[	PUNCT
ejpam-6281	516	13	2χδ	2χδ	ADJ
ejpam-6281	516	14	ρ2	ρ2	NOUN
ejpam-6281	516	15	(	(	PUNCT
ejpam-6281	516	16	ρ1	ρ1	NOUN
ejpam-6281	516	17	+	+	CCONJ
ejpam-6281	516	18	ρ2	ρ2	NOUN
ejpam-6281	516	19	)	)	PUNCT
ejpam-6281	516	20	+	+	CCONJ
ejpam-6281	516	21	1	1	X
ejpam-6281	516	22	]	]	SYM
ejpam-6281	516	23	×	×	NOUN
ejpam-6281	516	24	(	(	PUNCT
ejpam-6281	516	25	cos	cos	PROPN
ejpam-6281	516	26	(	(	PUNCT
ejpam-6281	516	27	ρ2n	ρ2n	PROPN
ejpam-6281	516	28	−1	−1	NOUN
ejpam-6281	516	29	t	t	NOUN
ejpam-6281	516	30	)	)	PUNCT
ejpam-6281	516	31	−	−	PROPN
ejpam-6281	516	32	1	1	NUM
ejpam-6281	516	33	)	)	PUNCT
ejpam-6281	516	34	}	}	PUNCT
ejpam-6281	516	35	+	+	CCONJ
ejpam-6281	516	36	·	·	PUNCT
ejpam-6281	516	37	·	·	PUNCT
ejpam-6281	516	38	·	·	PUNCT
ejpam-6281	516	39	,	,	PUNCT
ejpam-6281	516	40	ϕ	ϕ	X
ejpam-6281	516	41	=	=	SYM
ejpam-6281	516	42	ϕ0	ϕ0	PROPN
ejpam-6281	516	43	+	+	CCONJ
ejpam-6281	516	44	r10	r10	NOUN
ejpam-6281	516	45	n	n	CCONJ
ejpam-6281	516	46	t−	t−	PROPN
ejpam-6281	516	47	ε−1	ε−1	PROPN
ejpam-6281	516	48	n	n	PROPN
ejpam-6281	516	49	{	{	PUNCT
ejpam-6281	516	50	εa	εa	X
ejpam-6281	516	51	(	(	PUNCT
ejpam-6281	516	52	0	0	NUM
ejpam-6281	516	53	)	)	PUNCT
ejpam-6281	516	54	3	3	NUM
ejpam-6281	516	55	nbr10	nbr10	PROPN
ejpam-6281	516	56	[	[	X
ejpam-6281	516	57	(	(	PUNCT
ejpam-6281	516	58	1	1	NUM
ejpam-6281	516	59	+	+	CCONJ
ejpam-6281	516	60	χδ)(d2	χδ)(d2	VERB
ejpam-6281	516	61	−	−	NUM
ejpam-6281	516	62	1	1	NUM
ejpam-6281	516	63	)	)	PUNCT
ejpam-6281	516	64	+	+	X
ejpam-6281	516	65	χd1	χd1	X
ejpam-6281	516	66	]	]	X
ejpam-6281	516	67	[	[	PUNCT
ejpam-6281	516	68	n	n	CCONJ
ejpam-6281	516	69	ρ2	ρ2	NOUN
ejpam-6281	516	70	sin	sin	NOUN
ejpam-6281	516	71	(	(	PUNCT
ejpam-6281	516	72	ρ2n	ρ2n	PROPN
ejpam-6281	516	73	−1	−1	NOUN
ejpam-6281	516	74	t	t	NOUN
ejpam-6281	516	75	)	)	PUNCT
ejpam-6281	516	76	−	−	PROPN
ejpam-6281	517	1	t	t	X
ejpam-6281	517	2	]	]	PUNCT
ejpam-6281	517	3	−nλ́2r10	−nλ́2r10	PROPN
ejpam-6281	517	4	ρ1ρ22	ρ1ρ22	PROPN
ejpam-6281	517	5	[	[	PUNCT
ejpam-6281	517	6	δ(ρ1	δ(ρ1	ADJ
ejpam-6281	517	7	+	+	CCONJ
ejpam-6281	517	8	ρ2	ρ2	NOUN
ejpam-6281	517	9	)	)	PUNCT
ejpam-6281	517	10	(	(	PUNCT
ejpam-6281	517	11	χ2	χ2	NOUN
ejpam-6281	517	12	+	+	CCONJ
ejpam-6281	517	13	(	(	PUNCT
ejpam-6281	517	14	1	1	NUM
ejpam-6281	517	15	+	+	CCONJ
ejpam-6281	517	16	χδ)2	χδ)2	PROPN
ejpam-6281	517	17	)	)	PUNCT
ejpam-6281	517	18	+	+	CCONJ
ejpam-6281	517	19	ρ2χ	ρ2χ	NOUN
ejpam-6281	517	20	]	]	X
ejpam-6281	517	21	(	(	PUNCT
ejpam-6281	517	22	cos	cos	X
ejpam-6281	517	23	(	(	PUNCT
ejpam-6281	517	24	ρ2n	ρ2n	PROPN
ejpam-6281	517	25	−1	−1	NOUN
ejpam-6281	517	26	t	t	NOUN
ejpam-6281	517	27	)	)	PUNCT
ejpam-6281	517	28	−	−	PROPN
ejpam-6281	517	29	1	1	NUM
ejpam-6281	517	30	)	)	PUNCT
ejpam-6281	517	31	}	}	PUNCT
ejpam-6281	518	1	+	+	NUM
ejpam-6281	518	2	csc2	csc2	NOUN
ejpam-6281	518	3	θ0	θ0	NOUN
ejpam-6281	518	4	cos	cos	PROPN
ejpam-6281	518	5	θ0	θ0	PROPN
ejpam-6281	518	6	{	{	PUNCT
ejpam-6281	518	7	d21	d21	PROPN
ejpam-6281	518	8	+	+	CCONJ
ejpam-6281	518	9	(	(	PUNCT
ejpam-6281	518	10	1	1	NUM
ejpam-6281	518	11	+	+	NUM
ejpam-6281	518	12	χδ	χδ	NOUN
ejpam-6281	518	13	)	)	PUNCT
ejpam-6281	518	14	[	[	PUNCT
ejpam-6281	518	15	δ(λ́2r10)2	δ(λ́2r10)2	NUM
ejpam-6281	518	16	ρ21ρ2	ρ21ρ2	NOUN
ejpam-6281	518	17	(	(	PUNCT
ejpam-6281	518	18	ρ1	ρ1	NOUN
ejpam-6281	518	19	+	+	CCONJ
ejpam-6281	518	20	ρ2	ρ2	NOUN
ejpam-6281	518	21	)	)	PUNCT
ejpam-6281	518	22	[	[	PUNCT
ejpam-6281	518	23	χδ	χδ	ADP
ejpam-6281	518	24	ρ2	ρ2	PROPN
ejpam-6281	518	25	(	(	PUNCT
ejpam-6281	518	26	ρ1	ρ1	NOUN
ejpam-6281	518	27	+	+	CCONJ
ejpam-6281	518	28	ρ2	ρ2	NOUN
ejpam-6281	518	29	)	)	PUNCT
ejpam-6281	518	30	+	+	CCONJ
ejpam-6281	518	31	1	1	NUM
ejpam-6281	518	32	]	]	PUNCT
ejpam-6281	518	33	+	+	CCONJ
ejpam-6281	518	34	χa	χa	PROPN
ejpam-6281	518	35	(	(	PUNCT
ejpam-6281	518	36	0)2	0)2	NUM
ejpam-6281	518	37	3	3	NUM
ejpam-6281	518	38	]	]	PUNCT
ejpam-6281	518	39	t	t	NOUN
ejpam-6281	518	40	+	+	CCONJ
ejpam-6281	518	41	na	na	ADJ
ejpam-6281	518	42	(	(	PUNCT
ejpam-6281	518	43	0	0	NUM
ejpam-6281	518	44	)	)	SYM
ejpam-6281	518	45	3	3	NUM
ejpam-6281	518	46	ρ2	ρ2	NOUN
ejpam-6281	518	47	[	[	X
ejpam-6281	518	48	d2χ+	d2χ+	NOUN
ejpam-6281	518	49	d1(1	d1(1	NOUN
ejpam-6281	518	50	+	+	CCONJ
ejpam-6281	518	51	χδ	χδ	PROPN
ejpam-6281	518	52	)	)	PUNCT
ejpam-6281	518	53	]	]	PUNCT
ejpam-6281	518	54	sin	sin	NOUN
ejpam-6281	518	55	(	(	PUNCT
ejpam-6281	518	56	ρ2n	ρ2n	PROPN
ejpam-6281	518	57	−1	−1	NOUN
ejpam-6281	518	58	t	t	NOUN
ejpam-6281	518	59	)	)	PUNCT
ejpam-6281	518	60	−	−	PROPN
ejpam-6281	518	61	nλ́2r10	nλ́2r10	PROPN
ejpam-6281	518	62	ρ1ρ2	ρ1ρ2	X
ejpam-6281	518	63	(	(	PUNCT
ejpam-6281	518	64	1	1	NUM
ejpam-6281	518	65	+	+	NUM
ejpam-6281	518	66	χδ)a	χδ)a	PROPN
ejpam-6281	518	67	(	(	PUNCT
ejpam-6281	518	68	0	0	NUM
ejpam-6281	518	69	)	)	PUNCT
ejpam-6281	518	70	3	3	NUM
ejpam-6281	518	71	[	[	PUNCT
ejpam-6281	518	72	2χδ	2χδ	ADJ
ejpam-6281	518	73	ρ2	ρ2	NOUN
ejpam-6281	518	74	(	(	PUNCT
ejpam-6281	518	75	ρ1	ρ1	NOUN
ejpam-6281	518	76	+	+	CCONJ
ejpam-6281	518	77	ρ2	ρ2	NOUN
ejpam-6281	518	78	)	)	PUNCT
ejpam-6281	518	79	+	+	CCONJ
ejpam-6281	518	80	1	1	X
ejpam-6281	518	81	]	]	SYM
ejpam-6281	518	82	×	×	NOUN
ejpam-6281	518	83	(	(	PUNCT
ejpam-6281	518	84	cos	cos	PROPN
ejpam-6281	518	85	(	(	PUNCT
ejpam-6281	518	86	ρ2n	ρ2n	PROPN
ejpam-6281	518	87	−1	−1	NOUN
ejpam-6281	518	88	t	t	NOUN
ejpam-6281	518	89	)	)	PUNCT
ejpam-6281	518	90	−	−	PROPN
ejpam-6281	518	91	1	1	NUM
ejpam-6281	518	92	)	)	PUNCT
ejpam-6281	518	93	}	}	PUNCT
ejpam-6281	518	94	+	+	CCONJ
ejpam-6281	518	95	·	·	PUNCT
ejpam-6281	518	96	·	·	PUNCT
ejpam-6281	518	97	·	·	PUNCT
ejpam-6281	518	98	(	(	PUNCT
ejpam-6281	518	99	36	36	NUM
ejpam-6281	518	100	)	)	PUNCT
ejpam-6281	518	101	where	where	SCONJ
ejpam-6281	518	102	ϕ0	ϕ0	NOUN
ejpam-6281	518	103	=	=	SYM
ejpam-6281	518	104	π	π	PROPN
ejpam-6281	518	105	2	2	NUM
ejpam-6281	518	106	−	−	NOUN
ejpam-6281	518	107	ρ1n	ρ1n	PROPN
ejpam-6281	518	108	−1χ	−1χ	PROPN
ejpam-6281	518	109	.	.	PUNCT
ejpam-6281	519	1	equation	equation	NOUN
ejpam-6281	519	2	(	(	PUNCT
ejpam-6281	519	3	36	36	NUM
ejpam-6281	519	4	)	)	PUNCT
ejpam-6281	519	5	clearly	clearly	ADV
ejpam-6281	519	6	shows	show	VERB
ejpam-6281	519	7	that	that	SCONJ
ejpam-6281	519	8	the	the	DET
ejpam-6281	519	9	euler	euler	NOUN
ejpam-6281	519	10	angles	angle	NOUN
ejpam-6281	519	11	of	of	ADP
ejpam-6281	519	12	the	the	DET
ejpam-6281	519	13	examined	examine	VERB
ejpam-6281	519	14	motion	motion	NOUN
ejpam-6281	519	15	are	be	AUX
ejpam-6281	519	16	dependent	dependent	ADJ
ejpam-6281	519	17	on	on	ADP
ejpam-6281	519	18	the	the	DET
ejpam-6281	519	19	arbitrary	arbitrary	ADJ
ejpam-6281	519	20	constants	constant	NOUN
ejpam-6281	519	21	θ0	θ0	NOUN
ejpam-6281	519	22	,	,	PUNCT
ejpam-6281	519	23	ψ0	ψ0	ADV
ejpam-6281	519	24	and	and	CCONJ
ejpam-6281	519	25	r0	r0	NOUN
ejpam-6281	519	26	.	.	PUNCT
ejpam-6281	520	1	t.	t.	PROPN
ejpam-6281	520	2	s.	s.	PROPN
ejpam-6281	520	3	amer	amer	PROPN
ejpam-6281	520	4	et	et	PROPN
ejpam-6281	520	5	al	al	PROPN
ejpam-6281	520	6	.	.	PUNCT
ejpam-6281	520	7	/	/	SYM
ejpam-6281	520	8	eur	eur	PROPN
ejpam-6281	520	9	.	.	PUNCT
ejpam-6281	521	1	j.	j.	PROPN
ejpam-6281	521	2	pure	pure	PROPN
ejpam-6281	521	3	appl	appl	PROPN
ejpam-6281	521	4	.	.	PROPN
ejpam-6281	521	5	math	math	PROPN
ejpam-6281	521	6	,	,	PUNCT
ejpam-6281	521	7	18	18	NUM
ejpam-6281	521	8	(	(	PUNCT
ejpam-6281	521	9	3	3	NUM
ejpam-6281	521	10	)	)	PUNCT
ejpam-6281	521	11	(	(	PUNCT
ejpam-6281	521	12	2025	2025	NUM
ejpam-6281	521	13	)	)	PUNCT
ejpam-6281	521	14	,	,	PUNCT
ejpam-6281	521	15	6281	6281	NUM
ejpam-6281	521	16	20	20	NUM
ejpam-6281	521	17	of	of	ADP
ejpam-6281	521	18	35	35	NUM
ejpam-6281	521	19	6	6	NUM
ejpam-6281	521	20	.	.	PUNCT
ejpam-6281	522	1	evaluation	evaluation	NOUN
ejpam-6281	522	2	of	of	ADP
ejpam-6281	522	3	the	the	DET
ejpam-6281	522	4	outcomes	outcome	NOUN
ejpam-6281	522	5	this	this	DET
ejpam-6281	522	6	section	section	NOUN
ejpam-6281	522	7	primarily	primarily	ADV
ejpam-6281	522	8	focuses	focus	VERB
ejpam-6281	522	9	on	on	ADP
ejpam-6281	522	10	presenting	present	VERB
ejpam-6281	522	11	and	and	CCONJ
ejpam-6281	522	12	analyzing	analyze	VERB
ejpam-6281	522	13	the	the	DET
ejpam-6281	522	14	results	result	NOUN
ejpam-6281	522	15	outlined	outline	VERB
ejpam-6281	522	16	in	in	ADP
ejpam-6281	522	17	(	(	PUNCT
ejpam-6281	522	18	34	34	NUM
ejpam-6281	522	19	)	)	PUNCT
ejpam-6281	522	20	and	and	CCONJ
ejpam-6281	522	21	(	(	PUNCT
ejpam-6281	522	22	36	36	NUM
ejpam-6281	522	23	)	)	PUNCT
ejpam-6281	522	24	using	use	VERB
ejpam-6281	522	25	the	the	DET
ejpam-6281	522	26	graphical	graphical	ADJ
ejpam-6281	522	27	representations	representation	NOUN
ejpam-6281	522	28	of	of	ADP
ejpam-6281	522	29	the	the	DET
ejpam-6281	522	30	obtained	obtain	VERB
ejpam-6281	522	31	solutions	solution	NOUN
ejpam-6281	522	32	to	to	PART
ejpam-6281	522	33	highlight	highlight	VERB
ejpam-6281	522	34	the	the	DET
ejpam-6281	522	35	influence	influence	NOUN
ejpam-6281	522	36	of	of	ADP
ejpam-6281	522	37	various	various	ADJ
ejpam-6281	522	38	parameters	parameter	NOUN
ejpam-6281	522	39	on	on	ADP
ejpam-6281	522	40	the	the	DET
ejpam-6281	522	41	body	body	NOUN
ejpam-6281	522	42	’s	’s	PART
ejpam-6281	522	43	motion	motion	NOUN
ejpam-6281	522	44	over	over	ADP
ejpam-6281	522	45	time	time	NOUN
ejpam-6281	522	46	and	and	CCONJ
ejpam-6281	522	47	to	to	PART
ejpam-6281	522	48	emphasize	emphasize	VERB
ejpam-6281	522	49	the	the	DET
ejpam-6281	522	50	significance	significance	NOUN
ejpam-6281	522	51	of	of	ADP
ejpam-6281	522	52	the	the	DET
ejpam-6281	522	53	gm	gm	PROPN
ejpam-6281	522	54	.	.	PUNCT
ejpam-6281	523	1	accordingly	accordingly	ADV
ejpam-6281	523	2	,	,	PUNCT
ejpam-6281	523	3	the	the	DET
ejpam-6281	523	4	following	follow	VERB
ejpam-6281	523	5	data	datum	NOUN
ejpam-6281	523	6	are	be	AUX
ejpam-6281	523	7	considered	consider	VERB
ejpam-6281	523	8	i1	i1	PROPN
ejpam-6281	523	9	=	=	PROPN
ejpam-6281	523	10	i2	i2	PROPN
ejpam-6281	523	11	=	=	SYM
ejpam-6281	523	12	103kg.m2	103kg.m2	PROPN
ejpam-6281	523	13	,	,	PUNCT
ejpam-6281	523	14	i3	i3	NOUN
ejpam-6281	523	15	=	=	SYM
ejpam-6281	523	16	800kg.m2	800kg.m2	PROPN
ejpam-6281	523	17	,	,	PUNCT
ejpam-6281	523	18	ε	ε	PROPN
ejpam-6281	523	19	=	=	SYM
ejpam-6281	523	20	1000	1000	NUM
ejpam-6281	523	21	,	,	PUNCT
ejpam-6281	523	22	xg	xg	PROPN
ejpam-6281	524	1	=	=	SYM
ejpam-6281	524	2	1	1	NUM
ejpam-6281	524	3	m	m	NOUN
ejpam-6281	524	4	,	,	PUNCT
ejpam-6281	524	5	m	m	VERB
ejpam-6281	524	6	=	=	NOUN
ejpam-6281	524	7	50	50	NUM
ejpam-6281	524	8	kg	kg	NOUN
ejpam-6281	524	9	,	,	PUNCT
ejpam-6281	524	10	g	g	NOUN
ejpam-6281	524	11	=	=	NOUN
ejpam-6281	524	12	9.8kg.s−2	9.8kg.s−2	NOUN
ejpam-6281	524	13	,	,	PUNCT
ejpam-6281	524	14	r0	r0	NOUN
ejpam-6281	524	15	=	=	SYM
ejpam-6281	524	16	1.2	1.2	NUM
ejpam-6281	524	17	,	,	PUNCT
ejpam-6281	524	18	θ0	θ0	PROPN
ejpam-6281	524	19	=	=	SYM
ejpam-6281	524	20	10−10	10−10	NUM
ejpam-6281	524	21	λ2	λ2	NOUN
ejpam-6281	524	22	,	,	PUNCT
ejpam-6281	524	23	λ3	λ3	PROPN
ejpam-6281	524	24	=	=	SYM
ejpam-6281	524	25	(	(	PUNCT
ejpam-6281	524	26	10	10	NUM
ejpam-6281	524	27	,	,	PUNCT
ejpam-6281	524	28	30	30	NUM
ejpam-6281	524	29	,	,	PUNCT
ejpam-6281	524	30	60)kg.m2.s−1	60)kg.m2.s−1	NUM
ejpam-6281	524	31	.	.	PUNCT
ejpam-6281	525	1	fig.2	fig.2	PROPN
ejpam-6281	525	2	,	,	PUNCT
ejpam-6281	525	3	and	and	CCONJ
ejpam-6281	525	4	fig.4	fig.4	PRON
ejpam-6281	525	5	illustrate	illustrate	VERB
ejpam-6281	525	6	the	the	DET
ejpam-6281	525	7	temporal	temporal	ADJ
ejpam-6281	525	8	progression	progression	NOUN
ejpam-6281	525	9	of	of	ADP
ejpam-6281	525	10	the	the	DET
ejpam-6281	525	11	outcomes	outcome	NOUN
ejpam-6281	525	12	obtained	obtain	VERB
ejpam-6281	525	13	from	from	ADP
ejpam-6281	525	14	the	the	DET
ejpam-6281	525	15	system	system	NOUN
ejpam-6281	525	16	of	of	ADP
ejpam-6281	525	17	equations	equation	NOUN
ejpam-6281	525	18	(	(	PUNCT
ejpam-6281	525	19	34	34	NUM
ejpam-6281	525	20	)	)	PUNCT
ejpam-6281	525	21	under	under	ADP
ejpam-6281	525	22	different	different	ADJ
ejpam-6281	525	23	values	value	NOUN
ejpam-6281	525	24	of	of	ADP
ejpam-6281	525	25	λ2	λ2	NOUN
ejpam-6281	525	26	and	and	CCONJ
ejpam-6281	525	27	λ3	λ3	PROPN
ejpam-6281	525	28	,	,	PUNCT
ejpam-6281	525	29	respectively	respectively	ADV
ejpam-6281	525	30	.	.	PUNCT
ejpam-6281	526	1	meanwhile	meanwhile	ADV
ejpam-6281	526	2	,	,	PUNCT
ejpam-6281	526	3	the	the	DET
ejpam-6281	526	4	corresponding	corresponding	ADJ
ejpam-6281	526	5	phase	phase	NOUN
ejpam-6281	526	6	plane	plane	NOUN
ejpam-6281	526	7	diagrams	diagram	NOUN
ejpam-6281	526	8	,	,	PUNCT
ejpam-6281	526	9	generated	generate	VERB
ejpam-6281	526	10	using	use	VERB
ejpam-6281	526	11	the	the	DET
ejpam-6281	526	12	same	same	ADJ
ejpam-6281	526	13	parameter	parameter	NOUN
ejpam-6281	526	14	settings	setting	NOUN
ejpam-6281	526	15	,	,	PUNCT
ejpam-6281	526	16	are	be	AUX
ejpam-6281	526	17	depicted	depict	VERB
ejpam-6281	526	18	in	in	ADP
ejpam-6281	526	19	figs	fig	NOUN
ejpam-6281	526	20	.	.	PUNCT
ejpam-6281	527	1	fig.3	fig.3	ADJ
ejpam-6281	527	2	,	,	PUNCT
ejpam-6281	527	3	and	and	CCONJ
ejpam-6281	527	4	fig.5	fig.5	PROPN
ejpam-6281	527	5	.	.	PUNCT
ejpam-6281	528	1	these	these	DET
ejpam-6281	528	2	visualizations	visualization	NOUN
ejpam-6281	528	3	are	be	AUX
ejpam-6281	528	4	derived	derive	VERB
ejpam-6281	528	5	from	from	ADP
ejpam-6281	528	6	the	the	DET
ejpam-6281	528	7	data	datum	NOUN
ejpam-6281	528	8	previously	previously	ADV
ejpam-6281	528	9	presented	present	VERB
ejpam-6281	528	10	.	.	PUNCT
ejpam-6281	529	1	fig.2	fig.2	PROPN
ejpam-6281	529	2	illustrates	illustrate	VERB
ejpam-6281	529	3	the	the	DET
ejpam-6281	529	4	variation	variation	NOUN
ejpam-6281	529	5	of	of	ADP
ejpam-6281	529	6	the	the	DET
ejpam-6281	529	7	time	time	NOUN
ejpam-6281	529	8	-	-	PUNCT
ejpam-6281	529	9	dependent	dependent	ADJ
ejpam-6281	529	10	functions	function	NOUN
ejpam-6281	529	11	p	p	X
ejpam-6281	529	12	,	,	PUNCT
ejpam-6281	529	13	q	q	ADJ
ejpam-6281	529	14	,	,	PUNCT
ejpam-6281	529	15	r	r	NOUN
ejpam-6281	529	16	,	,	PUNCT
ejpam-6281	529	17	α	α	NOUN
ejpam-6281	529	18	,	,	PUNCT
ejpam-6281	529	19	β	β	X
ejpam-6281	529	20	and	and	CCONJ
ejpam-6281	529	21	γ	γ	PROPN
ejpam-6281	529	22	when	when	SCONJ
ejpam-6281	529	23	λ2	λ2	PROPN
ejpam-6281	529	24	has	have	VERB
ejpam-6281	529	25	distinct	distinct	ADJ
ejpam-6281	529	26	values	value	NOUN
ejpam-6281	529	27	of	of	ADP
ejpam-6281	529	28	(	(	PUNCT
ejpam-6281	529	29	10	10	NUM
ejpam-6281	529	30	,	,	PUNCT
ejpam-6281	529	31	30	30	NUM
ejpam-6281	529	32	,	,	PUNCT
ejpam-6281	529	33	60)kg.m	60)kg.m	NUM
ejpam-6281	529	34	2.s−1	2.s−1	NUM
ejpam-6281	529	35	.	.	PUNCT
ejpam-6281	530	1	certain	certain	ADJ
ejpam-6281	530	2	sections	section	NOUN
ejpam-6281	530	3	of	of	ADP
ejpam-6281	530	4	this	this	DET
ejpam-6281	530	5	figure	figure	NOUN
ejpam-6281	530	6	are	be	AUX
ejpam-6281	530	7	computed	compute	VERB
ejpam-6281	530	8	at	at	ADP
ejpam-6281	530	9	λ3	λ3	PROPN
ejpam-6281	530	10	=	=	PROPN
ejpam-6281	530	11	10kg.m2.s−1	10kg.m2.s−1	NUM
ejpam-6281	530	12	.	.	PUNCT
ejpam-6281	531	1	the	the	DET
ejpam-6281	531	2	main	main	ADJ
ejpam-6281	531	3	purpose	purpose	NOUN
ejpam-6281	531	4	of	of	ADP
ejpam-6281	531	5	the	the	DET
ejpam-6281	531	6	curves	curve	NOUN
ejpam-6281	531	7	in	in	ADP
ejpam-6281	531	8	fig.2	fig.2	PROPN
ejpam-6281	531	9	is	be	AUX
ejpam-6281	531	10	to	to	PART
ejpam-6281	531	11	examine	examine	VERB
ejpam-6281	531	12	the	the	DET
ejpam-6281	531	13	positive	positive	ADJ
ejpam-6281	531	14	effects	effect	NOUN
ejpam-6281	531	15	of	of	ADP
ejpam-6281	531	16	the	the	DET
ejpam-6281	531	17	selected	select	VERB
ejpam-6281	531	18	values	value	NOUN
ejpam-6281	531	19	of	of	ADP
ejpam-6281	531	20	the	the	DET
ejpam-6281	531	21	gyro	gyro	NOUN
ejpam-6281	531	22	’s	’s	PART
ejpam-6281	531	23	second	second	ADJ
ejpam-6281	531	24	projection	projection	NOUN
ejpam-6281	531	25	λ2	λ2	NOUN
ejpam-6281	531	26	=	=	SYM
ejpam-6281	531	27	(	(	PUNCT
ejpam-6281	531	28	10	10	NUM
ejpam-6281	531	29	,	,	PUNCT
ejpam-6281	531	30	30	30	NUM
ejpam-6281	531	31	,	,	PUNCT
ejpam-6281	531	32	60)kg.m2.s−1	60)kg.m2.s−1	NUM
ejpam-6281	531	33	on	on	ADP
ejpam-6281	531	34	the	the	DET
ejpam-6281	531	35	body	body	NOUN
ejpam-6281	531	36	’s	’s	PART
ejpam-6281	531	37	behavior	behavior	NOUN
ejpam-6281	531	38	.	.	PUNCT
ejpam-6281	532	1	as	as	SCONJ
ejpam-6281	532	2	anticipated	anticipate	VERB
ejpam-6281	532	3	,	,	PUNCT
ejpam-6281	532	4	periodic	periodic	ADJ
ejpam-6281	532	5	waves	wave	NOUN
ejpam-6281	532	6	appear	appear	VERB
ejpam-6281	532	7	in	in	ADP
ejpam-6281	532	8	certain	certain	ADJ
ejpam-6281	532	9	portions	portion	NOUN
ejpam-6281	532	10	of	of	ADP
ejpam-6281	532	11	this	this	DET
ejpam-6281	532	12	figure	figure	NOUN
ejpam-6281	532	13	.	.	PUNCT
ejpam-6281	533	1	the	the	DET
ejpam-6281	533	2	solutions	solution	NOUN
ejpam-6281	533	3	p	p	NOUN
ejpam-6281	533	4	and	and	CCONJ
ejpam-6281	533	5	α	α	NOUN
ejpam-6281	533	6	show	show	VERB
ejpam-6281	533	7	only	only	ADV
ejpam-6281	533	8	small	small	ADJ
ejpam-6281	533	9	variations	variation	NOUN
ejpam-6281	533	10	with	with	ADP
ejpam-6281	533	11	different	different	ADJ
ejpam-6281	533	12	values	value	NOUN
ejpam-6281	533	13	of	of	ADP
ejpam-6281	533	14	λ2	λ2	NOUN
ejpam-6281	533	15	,	,	PUNCT
ejpam-6281	533	16	as	as	SCONJ
ejpam-6281	533	17	demonstrated	demonstrate	VERB
ejpam-6281	533	18	in	in	ADP
ejpam-6281	533	19	fig.2	fig.2	PROPN
ejpam-6281	533	20	in	in	ADP
ejpam-6281	533	21	a	a	PRON
ejpam-6281	533	22	and	and	CCONJ
ejpam-6281	533	23	d	d	NOUN
ejpam-6281	533	24	respectively	respectively	ADV
ejpam-6281	533	25	.	.	PUNCT
ejpam-6281	534	1	this	this	DET
ejpam-6281	534	2	behavior	behavior	NOUN
ejpam-6281	534	3	arises	arise	VERB
ejpam-6281	534	4	from	from	ADP
ejpam-6281	534	5	the	the	DET
ejpam-6281	534	6	governing	govern	VERB
ejpam-6281	534	7	equations	equation	NOUN
ejpam-6281	534	8	,	,	PUNCT
ejpam-6281	534	9	which	which	PRON
ejpam-6281	534	10	either	either	CCONJ
ejpam-6281	534	11	do	do	AUX
ejpam-6281	534	12	not	not	PART
ejpam-6281	534	13	explicitly	explicitly	ADV
ejpam-6281	534	14	depend	depend	VERB
ejpam-6281	534	15	on	on	ADP
ejpam-6281	534	16	it	it	PRON
ejpam-6281	534	17	or	or	CCONJ
ejpam-6281	534	18	encompass	encompass	VERB
ejpam-6281	534	19	it	it	PRON
ejpam-6281	534	20	within	within	ADP
ejpam-6281	534	21	a	a	DET
ejpam-6281	534	22	bracket	bracket	NOUN
ejpam-6281	534	23	alongside	alongside	ADP
ejpam-6281	534	24	λ2	λ2	PROPN
ejpam-6281	534	25	.	.	PUNCT
ejpam-6281	535	1	however	however	ADV
ejpam-6281	535	2	,	,	PUNCT
ejpam-6281	535	3	the	the	DET
ejpam-6281	535	4	other	other	ADJ
ejpam-6281	535	5	potions	potion	NOUN
ejpam-6281	535	6	(	(	PUNCT
ejpam-6281	535	7	b	b	NOUN
ejpam-6281	535	8	)	)	PUNCT
ejpam-6281	535	9	,	,	PUNCT
ejpam-6281	535	10	(	(	PUNCT
ejpam-6281	535	11	c	c	NOUN
ejpam-6281	535	12	)	)	PUNCT
ejpam-6281	535	13	,	,	PUNCT
ejpam-6281	535	14	(	(	PUNCT
ejpam-6281	535	15	e	e	NOUN
ejpam-6281	535	16	)	)	PUNCT
ejpam-6281	535	17	,	,	PUNCT
ejpam-6281	535	18	and	and	CCONJ
ejpam-6281	535	19	(	(	PUNCT
ejpam-6281	535	20	f	f	X
ejpam-6281	535	21	)	)	PUNCT
ejpam-6281	535	22	are	be	AUX
ejpam-6281	535	23	significantly	significantly	ADV
ejpam-6281	535	24	influenced	influence	VERB
ejpam-6281	535	25	by	by	ADP
ejpam-6281	535	26	changes	change	NOUN
ejpam-6281	535	27	in	in	ADP
ejpam-6281	535	28	values	value	NOUN
ejpam-6281	535	29	.	.	PUNCT
ejpam-6281	536	1	notably	notably	ADV
ejpam-6281	536	2	,	,	PUNCT
ejpam-6281	536	3	the	the	DET
ejpam-6281	536	4	wave	wave	NOUN
ejpam-6281	536	5	amplitudes	amplitude	NOUN
ejpam-6281	536	6	increase	increase	VERB
ejpam-6281	536	7	as	as	ADP
ejpam-6281	536	8	increases	increase	NOUN
ejpam-6281	536	9	,	,	PUNCT
ejpam-6281	536	10	as	as	SCONJ
ejpam-6281	536	11	shown	show	VERB
ejpam-6281	536	12	in	in	ADP
ejpam-6281	536	13	fig.2	fig.2	PROPN
ejpam-6281	536	14	in	in	ADP
ejpam-6281	536	15	e	e	PROPN
ejpam-6281	536	16	and	and	CCONJ
ejpam-6281	536	17	f	f	PROPN
ejpam-6281	536	18	respectively	respectively	ADV
ejpam-6281	536	19	.	.	PUNCT
ejpam-6281	537	1	additionally	additionally	ADV
ejpam-6281	537	2	,	,	PUNCT
ejpam-6281	537	3	neither	neither	CCONJ
ejpam-6281	537	4	the	the	DET
ejpam-6281	537	5	number	number	NOUN
ejpam-6281	537	6	of	of	ADP
ejpam-6281	537	7	fluctuations	fluctuation	NOUN
ejpam-6281	537	8	nor	nor	CCONJ
ejpam-6281	537	9	the	the	DET
ejpam-6281	537	10	wavelength	wavelength	NOUN
ejpam-6281	537	11	of	of	ADP
ejpam-6281	537	12	the	the	DET
ejpam-6281	537	13	waves	wave	NOUN
ejpam-6281	537	14	undergoes	undergo	VERB
ejpam-6281	537	15	any	any	DET
ejpam-6281	537	16	change	change	NOUN
ejpam-6281	537	17	.	.	PUNCT
ejpam-6281	538	1	the	the	DET
ejpam-6281	538	2	body	body	NOUN
ejpam-6281	538	3	’s	’s	PART
ejpam-6281	538	4	steady	steady	ADJ
ejpam-6281	538	5	behavior	behavior	NOUN
ejpam-6281	538	6	is	be	AUX
ejpam-6281	538	7	depicted	depict	VERB
ejpam-6281	538	8	through	through	ADP
ejpam-6281	538	9	the	the	DET
ejpam-6281	538	10	phase	phase	NOUN
ejpam-6281	538	11	plane	plane	NOUN
ejpam-6281	538	12	graphs	graph	NOUN
ejpam-6281	538	13	of	of	ADP
ejpam-6281	538	14	the	the	DET
ejpam-6281	538	15	obtained	obtain	VERB
ejpam-6281	538	16	solutions	solution	NOUN
ejpam-6281	538	17	when	when	SCONJ
ejpam-6281	538	18	λ2(=	λ2(=	NOUN
ejpam-6281	538	19	10	10	NUM
ejpam-6281	538	20	,	,	PUNCT
ejpam-6281	538	21	30	30	NUM
ejpam-6281	538	22	,	,	PUNCT
ejpam-6281	538	23	60)kg.m2.s−1	60)kg.m2.s−1	NUM
ejpam-6281	538	24	,	,	PUNCT
ejpam-6281	538	25	as	as	SCONJ
ejpam-6281	538	26	shown	show	VERB
ejpam-6281	538	27	in	in	ADP
ejpam-6281	538	28	fig.3	fig.3	PROPN
ejpam-6281	538	29	.	.	PUNCT
ejpam-6281	539	1	the	the	DET
ejpam-6281	539	2	plotted	plot	VERB
ejpam-6281	539	3	curves	curve	NOUN
ejpam-6281	539	4	represent	represent	VERB
ejpam-6281	539	5	the	the	DET
ejpam-6281	539	6	solutions	solution	NOUN
ejpam-6281	539	7	via	via	ADP
ejpam-6281	539	8	their	their	PRON
ejpam-6281	539	9	first	first	ADJ
ejpam-6281	539	10	derivatives	derivative	NOUN
ejpam-6281	539	11	,	,	PUNCT
ejpam-6281	539	12	with	with	ADP
ejpam-6281	539	13	time	time	NOUN
ejpam-6281	539	14	being	be	AUX
ejpam-6281	539	15	excluded	exclude	VERB
ejpam-6281	539	16	.	.	PUNCT
ejpam-6281	540	1	notably	notably	ADV
ejpam-6281	540	2	,	,	PUNCT
ejpam-6281	540	3	symmetric	symmetric	ADJ
ejpam-6281	540	4	closed	closed	ADJ
ejpam-6281	540	5	curves	curve	NOUN
ejpam-6281	540	6	emerge	emerge	VERB
ejpam-6281	540	7	,	,	PUNCT
ejpam-6281	540	8	highlighting	highlight	VERB
ejpam-6281	540	9	and	and	CCONJ
ejpam-6281	540	10	validating	validate	VERB
ejpam-6281	540	11	the	the	DET
ejpam-6281	540	12	stability	stability	NOUN
ejpam-6281	540	13	behavior	behavior	NOUN
ejpam-6281	540	14	of	of	ADP
ejpam-6281	540	15	the	the	DET
ejpam-6281	540	16	body	body	NOUN
ejpam-6281	540	17	’s	’s	PART
ejpam-6281	540	18	motion	motion	NOUN
ejpam-6281	540	19	.	.	PUNCT
ejpam-6281	541	1	curves	curve	NOUN
ejpam-6281	541	2	in	in	ADP
ejpam-6281	541	3	fig.4	fig.4	PRON
ejpam-6281	541	4	show	show	NOUN
ejpam-6281	541	5	how	how	SCONJ
ejpam-6281	541	6	the	the	DET
ejpam-6281	541	7	solutions	solution	NOUN
ejpam-6281	541	8	p	p	X
ejpam-6281	541	9	,	,	PUNCT
ejpam-6281	541	10	q	q	ADJ
ejpam-6281	541	11	,	,	PUNCT
ejpam-6281	541	12	r	r	NOUN
ejpam-6281	541	13	,	,	PUNCT
ejpam-6281	541	14	α	α	NOUN
ejpam-6281	541	15	,	,	PUNCT
ejpam-6281	541	16	β	β	X
ejpam-6281	541	17	and	and	CCONJ
ejpam-6281	541	18	γ	γ	PROPN
ejpam-6281	541	19	change	change	NOUN
ejpam-6281	541	20	for	for	ADP
ejpam-6281	541	21	distinct	distinct	ADJ
ejpam-6281	541	22	values	value	NOUN
ejpam-6281	541	23	of	of	ADP
ejpam-6281	541	24	λ3	λ3	PROPN
ejpam-6281	541	25	(	(	PUNCT
ejpam-6281	541	26	e.	e.	PROPN
ejpam-6281	541	27	g.10	g.10	PROPN
ejpam-6281	541	28	,	,	PUNCT
ejpam-6281	541	29	30	30	NUM
ejpam-6281	541	30	and	and	CCONJ
ejpam-6281	541	31	60	60	NUM
ejpam-6281	541	32	)	)	PUNCT
ejpam-6281	541	33	.	.	PUNCT
ejpam-6281	542	1	these	these	DET
ejpam-6281	542	2	solutions	solution	NOUN
ejpam-6281	542	3	are	be	AUX
ejpam-6281	542	4	affected	affect	VERB
ejpam-6281	542	5	by	by	ADP
ejpam-6281	542	6	variations	variation	NOUN
ejpam-6281	542	7	in	in	ADP
ejpam-6281	542	8	λ3	λ3	PROPN
ejpam-6281	542	9	,	,	PUNCT
ejpam-6281	542	10	producing	produce	VERB
ejpam-6281	542	11	periodic	periodic	ADJ
ejpam-6281	542	12	waves	wave	NOUN
ejpam-6281	542	13	with	with	ADP
ejpam-6281	542	14	distinct	distinct	ADJ
ejpam-6281	542	15	amplitudes	amplitude	NOUN
ejpam-6281	542	16	,	,	PUNCT
ejpam-6281	542	17	as	as	SCONJ
ejpam-6281	542	18	shown	show	VERB
ejpam-6281	542	19	in	in	ADP
ejpam-6281	542	20	parts	part	NOUN
ejpam-6281	542	21	of	of	ADP
ejpam-6281	542	22	fig.3	fig.3	PROPN
ejpam-6281	542	23	.	.	PUNCT
ejpam-6281	543	1	as	as	SCONJ
ejpam-6281	543	2	values	value	NOUN
ejpam-6281	543	3	increase	increase	VERB
ejpam-6281	543	4	,	,	PUNCT
ejpam-6281	543	5	the	the	DET
ejpam-6281	543	6	amplitudes	amplitude	NOUN
ejpam-6281	543	7	of	of	ADP
ejpam-6281	543	8	these	these	DET
ejpam-6281	543	9	waves	wave	NOUN
ejpam-6281	543	10	decrease	decrease	VERB
ejpam-6281	543	11	.	.	PUNCT
ejpam-6281	544	1	the	the	DET
ejpam-6281	544	2	plots	plot	NOUN
ejpam-6281	544	3	of	of	ADP
ejpam-6281	544	4	phase	phase	NOUN
ejpam-6281	544	5	plane	plane	NOUN
ejpam-6281	544	6	of	of	ADP
ejpam-6281	544	7	these	these	DET
ejpam-6281	544	8	waves	wave	NOUN
ejpam-6281	544	9	,	,	PUNCT
ejpam-6281	544	10	shown	show	VERB
ejpam-6281	544	11	in	in	ADP
ejpam-6281	544	12	portions	portion	NOUN
ejpam-6281	544	13	of	of	ADP
ejpam-6281	544	14	fig.5	fig.5	PROPN
ejpam-6281	544	15	,	,	PUNCT
ejpam-6281	544	16	further	far	ADV
ejpam-6281	544	17	demonstrate	demonstrate	VERB
ejpam-6281	544	18	the	the	DET
ejpam-6281	544	19	stable	stable	ADJ
ejpam-6281	544	20	nature	nature	NOUN
ejpam-6281	544	21	of	of	ADP
ejpam-6281	544	22	the	the	DET
ejpam-6281	544	23	results	result	NOUN
ejpam-6281	544	24	.	.	PUNCT
ejpam-6281	545	1	the	the	DET
ejpam-6281	545	2	results	result	NOUN
ejpam-6281	545	3	indicate	indicate	VERB
ejpam-6281	545	4	that	that	SCONJ
ejpam-6281	545	5	the	the	DET
ejpam-6281	545	6	solutions	solution	NOUN
ejpam-6281	545	7	maintain	maintain	VERB
ejpam-6281	545	8	stability	stability	NOUN
ejpam-6281	545	9	,	,	PUNCT
ejpam-6281	545	10	without	without	ADP
ejpam-6281	545	11	any	any	DET
ejpam-6281	545	12	chaotic	chaotic	ADJ
ejpam-6281	545	13	characteristics	characteristic	NOUN
ejpam-6281	545	14	.	.	PUNCT
ejpam-6281	546	1	it	it	PRON
ejpam-6281	546	2	is	be	AUX
ejpam-6281	546	3	evident	evident	ADJ
ejpam-6281	546	4	that	that	SCONJ
ejpam-6281	546	5	euler	euler	NOUN
ejpam-6281	546	6	’s	’s	PART
ejpam-6281	546	7	angles	angles	PROPN
ejpam-6281	546	8	θ	θ	PROPN
ejpam-6281	546	9	,	,	PUNCT
ejpam-6281	546	10	ψ	ψ	NOUN
ejpam-6281	546	11	and	and	CCONJ
ejpam-6281	546	12	ϕ	ϕ	PROPN
ejpam-6281	546	13	significantly	significantly	ADV
ejpam-6281	546	14	contribute	contribute	VERB
ejpam-6281	546	15	to	to	ADP
ejpam-6281	546	16	determining	determine	VERB
ejpam-6281	546	17	the	the	DET
ejpam-6281	546	18	orientation	orientation	NOUN
ejpam-6281	546	19	of	of	ADP
ejpam-6281	546	20	the	the	DET
ejpam-6281	546	21	rb	rb	NOUN
ejpam-6281	546	22	.	.	PUNCT
ejpam-6281	546	23	to	to	PART
ejpam-6281	546	24	investigate	investigate	VERB
ejpam-6281	546	25	this	this	DET
ejpam-6281	546	26	aspect	aspect	NOUN
ejpam-6281	546	27	,	,	PUNCT
ejpam-6281	546	28	relations	relation	NOUN
ejpam-6281	546	29	(	(	PUNCT
ejpam-6281	546	30	37	37	NUM
ejpam-6281	546	31	)	)	PUNCT
ejpam-6281	546	32	are	be	AUX
ejpam-6281	546	33	plotted	plot	VERB
ejpam-6281	546	34	in	in	ADP
ejpam-6281	546	35	figs.6	figs.6	PROPN
ejpam-6281	546	36	and	and	CCONJ
ejpam-6281	546	37	figs.7	figs.7	NOUN
ejpam-6281	546	38	,	,	PUNCT
ejpam-6281	546	39	considering	consider	VERB
ejpam-6281	546	40	the	the	DET
ejpam-6281	546	41	previously	previously	ADV
ejpam-6281	546	42	provided	provide	VERB
ejpam-6281	546	43	data	datum	NOUN
ejpam-6281	546	44	to	to	PART
ejpam-6281	546	45	analyze	analyze	VERB
ejpam-6281	546	46	the	the	DET
ejpam-6281	546	47	impact	impact	NOUN
ejpam-6281	546	48	of	of	ADP
ejpam-6281	546	49	different	different	ADJ
ejpam-6281	546	50	values	value	NOUN
ejpam-6281	546	51	of	of	ADP
ejpam-6281	546	52	λ2	λ2	NOUN
ejpam-6281	546	53	,	,	PUNCT
ejpam-6281	546	54	and	and	CCONJ
ejpam-6281	546	55	λ3	λ3	PROPN
ejpam-6281	546	56	on	on	ADP
ejpam-6281	546	57	the	the	DET
ejpam-6281	546	58	body	body	NOUN
ejpam-6281	546	59	’s	’s	PART
ejpam-6281	546	60	dynamic	dynamic	ADJ
ejpam-6281	546	61	behavior	behavior	NOUN
ejpam-6281	546	62	.	.	PUNCT
ejpam-6281	547	1	notably	notably	ADV
ejpam-6281	547	2	,	,	PUNCT
ejpam-6281	547	3	figs.6	figs.6	PROPN
ejpam-6281	547	4	are	be	AUX
ejpam-6281	547	5	plotted	plot	VERB
ejpam-6281	547	6	at	at	ADP
ejpam-6281	547	7	t.	t.	PROPN
ejpam-6281	547	8	s.	s.	PROPN
ejpam-6281	547	9	amer	amer	PROPN
ejpam-6281	547	10	et	et	PROPN
ejpam-6281	547	11	al	al	PROPN
ejpam-6281	547	12	.	.	PUNCT
ejpam-6281	547	13	/	/	SYM
ejpam-6281	547	14	eur	eur	PROPN
ejpam-6281	547	15	.	.	PUNCT
ejpam-6281	548	1	j.	j.	PROPN
ejpam-6281	548	2	pure	pure	PROPN
ejpam-6281	548	3	appl	appl	PROPN
ejpam-6281	548	4	.	.	PROPN
ejpam-6281	548	5	math	math	PROPN
ejpam-6281	548	6	,	,	PUNCT
ejpam-6281	548	7	18	18	NUM
ejpam-6281	548	8	(	(	PUNCT
ejpam-6281	548	9	3	3	NUM
ejpam-6281	548	10	)	)	PUNCT
ejpam-6281	548	11	(	(	PUNCT
ejpam-6281	548	12	2025	2025	NUM
ejpam-6281	548	13	)	)	PUNCT
ejpam-6281	548	14	,	,	PUNCT
ejpam-6281	548	15	6281	6281	NUM
ejpam-6281	548	16	21	21	NUM
ejpam-6281	548	17	of	of	ADP
ejpam-6281	548	18	35	35	NUM
ejpam-6281	548	19	λ2(=	λ2(=	NOUN
ejpam-6281	548	20	10	10	NUM
ejpam-6281	548	21	,	,	PUNCT
ejpam-6281	548	22	30	30	NUM
ejpam-6281	548	23	,	,	PUNCT
ejpam-6281	548	24	60)kg.m2.s−1	60)kg.m2.s−1	NUM
ejpam-6281	548	25	and	and	CCONJ
ejpam-6281	548	26	λ3	λ3	PROPN
ejpam-6281	548	27	=	=	PROPN
ejpam-6281	548	28	10	10	NUM
ejpam-6281	548	29	respectively	respectively	ADV
ejpam-6281	548	30	,	,	PUNCT
ejpam-6281	548	31	while	while	SCONJ
ejpam-6281	548	32	figs	fig	NOUN
ejpam-6281	548	33	.	.	PUNCT
ejpam-6281	549	1	(	(	PUNCT
ejpam-6281	549	2	7	7	X
ejpam-6281	549	3	)	)	PUNCT
ejpam-6281	549	4	are	be	AUX
ejpam-6281	549	5	computed	compute	VERB
ejpam-6281	549	6	at	at	ADP
ejpam-6281	549	7	λ2	λ2	NOUN
ejpam-6281	549	8	=	=	SYM
ejpam-6281	549	9	10	10	NUM
ejpam-6281	550	1	and	and	CCONJ
ejpam-6281	550	2	,	,	PUNCT
ejpam-6281	550	3	λ3(=	λ3(=	PROPN
ejpam-6281	550	4	10	10	NUM
ejpam-6281	550	5	,	,	PUNCT
ejpam-6281	550	6	30	30	NUM
ejpam-6281	550	7	,	,	PUNCT
ejpam-6281	550	8	60)kg.m2.s−1	60)kg.m2.s−1	NUM
ejpam-6281	550	9	respectively	respectively	ADV
ejpam-6281	550	10	.	.	PUNCT
ejpam-6281	551	1	notably	notably	ADV
ejpam-6281	551	2	,	,	PUNCT
ejpam-6281	551	3	the	the	DET
ejpam-6281	551	4	behavior	behavior	NOUN
ejpam-6281	551	5	of	of	ADP
ejpam-6281	551	6	the	the	DET
ejpam-6281	551	7	nutation	nutation	NOUN
ejpam-6281	551	8	angle	angle	NOUN
ejpam-6281	551	9	θ	θ	PROPN
ejpam-6281	551	10	positively	positively	ADV
ejpam-6281	551	11	influences	influence	VERB
ejpam-6281	551	12	λ3	λ3	PROPN
ejpam-6281	551	13	as	as	SCONJ
ejpam-6281	551	14	it	it	PRON
ejpam-6281	551	15	increases	increase	VERB
ejpam-6281	551	16	over	over	ADP
ejpam-6281	551	17	time	time	NOUN
ejpam-6281	551	18	,	,	PUNCT
ejpam-6281	551	19	as	as	SCONJ
ejpam-6281	551	20	illustrated	illustrate	VERB
ejpam-6281	551	21	in	in	ADP
ejpam-6281	551	22	fig.6	fig.6	PROPN
ejpam-6281	551	23	and	and	CCONJ
ejpam-6281	551	24	fig.7	fig.7	ADJ
ejpam-6281	551	25	,	,	PUNCT
ejpam-6281	551	26	in	in	ADP
ejpam-6281	551	27	panel	panel	NOUN
ejpam-6281	551	28	a	a	X
ejpam-6281	551	29	.	.	PUNCT
ejpam-6281	552	1	this	this	DET
ejpam-6281	552	2	effect	effect	NOUN
ejpam-6281	552	3	arises	arise	VERB
ejpam-6281	552	4	from	from	ADP
ejpam-6281	552	5	the	the	DET
ejpam-6281	552	6	first	first	ADJ
ejpam-6281	552	7	approximate	approximate	ADJ
ejpam-6281	552	8	term	term	NOUN
ejpam-6281	552	9	,	,	PUNCT
ejpam-6281	552	10	which	which	PRON
ejpam-6281	552	11	depends	depend	VERB
ejpam-6281	552	12	on	on	ADP
ejpam-6281	552	13	ρ1	ρ1	NOUN
ejpam-6281	552	14	,	,	PUNCT
ejpam-6281	552	15	ρ2	ρ2	NOUN
ejpam-6281	552	16	,	,	PUNCT
ejpam-6281	552	17	χ	χ	NOUN
ejpam-6281	552	18	and	and	CCONJ
ejpam-6281	552	19	δ	δ	PROPN
ejpam-6281	552	20	.	.	PUNCT
ejpam-6281	553	1	it	it	PRON
ejpam-6281	553	2	is	be	AUX
ejpam-6281	553	3	apparent	apparent	ADJ
ejpam-6281	553	4	that	that	SCONJ
ejpam-6281	553	5	the	the	DET
ejpam-6281	553	6	wave	wave	NOUN
ejpam-6281	553	7	amplitude	amplitude	NOUN
ejpam-6281	553	8	grows	grow	VERB
ejpam-6281	553	9	moderately	moderately	ADV
ejpam-6281	553	10	,	,	PUNCT
ejpam-6281	553	11	while	while	SCONJ
ejpam-6281	553	12	the	the	DET
ejpam-6281	553	13	oscillation	oscillation	NOUN
ejpam-6281	553	14	count	count	NOUN
ejpam-6281	553	15	remains	remain	VERB
ejpam-6281	553	16	constant	constant	ADJ
ejpam-6281	553	17	.	.	PUNCT
ejpam-6281	554	1	on	on	ADP
ejpam-6281	554	2	the	the	DET
ejpam-6281	554	3	other	other	ADJ
ejpam-6281	554	4	side	side	NOUN
ejpam-6281	554	5	,	,	PUNCT
ejpam-6281	554	6	the	the	DET
ejpam-6281	554	7	behavior	behavior	NOUN
ejpam-6281	554	8	of	of	ADP
ejpam-6281	554	9	the	the	DET
ejpam-6281	554	10	waves	wave	NOUN
ejpam-6281	554	11	representing	represent	VERB
ejpam-6281	554	12	the	the	DET
ejpam-6281	554	13	precession	precession	NOUN
ejpam-6281	554	14	angle	angle	NOUN
ejpam-6281	554	15	ψ	ψ	NOUN
ejpam-6281	554	16	changes	change	NOUN
ejpam-6281	554	17	gradually	gradually	ADV
ejpam-6281	554	18	as	as	SCONJ
ejpam-6281	554	19	λ2	λ2	NOUN
ejpam-6281	554	20	increases	increase	NOUN
ejpam-6281	554	21	,	,	PUNCT
ejpam-6281	554	22	as	as	SCONJ
ejpam-6281	554	23	shown	show	VERB
ejpam-6281	554	24	in	in	ADP
ejpam-6281	554	25	panel	panel	NOUN
ejpam-6281	554	26	b	b	PROPN
ejpam-6281	554	27	of	of	ADP
ejpam-6281	554	28	fig.6	fig.6	PROPN
ejpam-6281	554	29	and	and	CCONJ
ejpam-6281	554	30	fig.7	fig.7	ADJ
ejpam-6281	554	31	.	.	PUNCT
ejpam-6281	555	1	however	however	ADV
ejpam-6281	555	2	,	,	PUNCT
ejpam-6281	555	3	there	there	PRON
ejpam-6281	555	4	is	be	VERB
ejpam-6281	555	5	no	no	DET
ejpam-6281	555	6	noticeable	noticeable	ADJ
ejpam-6281	555	7	variation	variation	NOUN
ejpam-6281	555	8	in	in	ADP
ejpam-6281	555	9	the	the	DET
ejpam-6281	555	10	waves	wave	NOUN
ejpam-6281	555	11	describing	describe	VERB
ejpam-6281	555	12	the	the	DET
ejpam-6281	555	13	self	self	NOUN
ejpam-6281	555	14	-	-	PUNCT
ejpam-6281	555	15	rotation	rotation	NOUN
ejpam-6281	555	16	angle	angle	NOUN
ejpam-6281	555	17	ϕ	ϕ	NOUN
ejpam-6281	555	18	,	,	PUNCT
ejpam-6281	555	19	as	as	SCONJ
ejpam-6281	555	20	seen	see	VERB
ejpam-6281	555	21	in	in	ADP
ejpam-6281	555	22	panel	panel	NOUN
ejpam-6281	555	23	c	c	PROPN
ejpam-6281	555	24	of	of	ADP
ejpam-6281	555	25	fig.6	fig.6	PROPN
ejpam-6281	555	26	and	and	CCONJ
ejpam-6281	555	27	panel	panel	NOUN
ejpam-6281	555	28	c	c	PROPN
ejpam-6281	555	29	of	of	ADP
ejpam-6281	555	30	fig.7	fig.7	PROPN
ejpam-6281	555	31	.	.	PUNCT
ejpam-6281	556	1	the	the	DET
ejpam-6281	556	2	negative	negative	ADJ
ejpam-6281	556	3	values	value	NOUN
ejpam-6281	556	4	of	of	ADP
ejpam-6281	556	5	ϕ	ϕ	NOUN
ejpam-6281	556	6	arise	arise	NOUN
ejpam-6281	556	7	due	due	ADP
ejpam-6281	556	8	to	to	ADP
ejpam-6281	556	9	the	the	DET
ejpam-6281	556	10	difference	difference	NOUN
ejpam-6281	556	11	between	between	ADP
ejpam-6281	556	12	the	the	DET
ejpam-6281	556	13	first	first	ADJ
ejpam-6281	556	14	and	and	CCONJ
ejpam-6281	556	15	second	second	ADJ
ejpam-6281	556	16	terms	term	NOUN
ejpam-6281	556	17	in	in	ADP
ejpam-6281	556	18	the	the	DET
ejpam-6281	556	19	equation	equation	NOUN
ejpam-6281	556	20	,	,	PUNCT
ejpam-6281	556	21	where	where	SCONJ
ejpam-6281	556	22	the	the	DET
ejpam-6281	556	23	second	second	ADJ
ejpam-6281	556	24	term	term	NOUN
ejpam-6281	556	25	is	be	AUX
ejpam-6281	556	26	significantly	significantly	ADV
ejpam-6281	556	27	larger	large	ADJ
ejpam-6281	556	28	than	than	ADP
ejpam-6281	556	29	the	the	DET
ejpam-6281	556	30	first	first	ADJ
ejpam-6281	556	31	.	.	PUNCT
ejpam-6281	557	1	additionally	additionally	ADV
ejpam-6281	557	2	,	,	PUNCT
ejpam-6281	557	3	it	it	PRON
ejpam-6281	557	4	should	should	AUX
ejpam-6281	557	5	be	be	AUX
ejpam-6281	557	6	noted	note	VERB
ejpam-6281	557	7	that	that	SCONJ
ejpam-6281	557	8	the	the	DET
ejpam-6281	557	9	inaccuracy	inaccuracy	NOUN
ejpam-6281	557	10	in	in	ADP
ejpam-6281	557	11	ϕ	ϕ	PROPN
ejpam-6281	557	12	plays	play	VERB
ejpam-6281	557	13	a	a	DET
ejpam-6281	557	14	crucial	crucial	ADJ
ejpam-6281	557	15	role	role	NOUN
ejpam-6281	557	16	in	in	ADP
ejpam-6281	557	17	these	these	DET
ejpam-6281	557	18	results	result	NOUN
ejpam-6281	557	19	.	.	PUNCT
ejpam-6281	558	1	figure	figure	VERB
ejpam-6281	558	2	2	2	NUM
ejpam-6281	558	3	:	:	PUNCT
ejpam-6281	558	4	presents	present	VERB
ejpam-6281	558	5	the	the	DET
ejpam-6281	558	6	variations	variation	NOUN
ejpam-6281	558	7	of	of	ADP
ejpam-6281	558	8	p(t	p(t	NOUN
ejpam-6281	558	9	)	)	PUNCT
ejpam-6281	558	10	,	,	PUNCT
ejpam-6281	558	11	q(t	q(t	PROPN
ejpam-6281	558	12	)	)	PUNCT
ejpam-6281	558	13	,	,	PUNCT
ejpam-6281	558	14	r(t	r(t	NOUN
ejpam-6281	558	15	)	)	PUNCT
ejpam-6281	558	16	,	,	PUNCT
ejpam-6281	558	17	α(t	α(t	PROPN
ejpam-6281	558	18	)	)	PUNCT
ejpam-6281	558	19	,	,	PUNCT
ejpam-6281	558	20	β(t	β(t	PROPN
ejpam-6281	558	21	)	)	PUNCT
ejpam-6281	558	22	and	and	CCONJ
ejpam-6281	558	23	γ(t	γ(t	NOUN
ejpam-6281	558	24	)	)	PUNCT
ejpam-6281	558	25	when	when	SCONJ
ejpam-6281	558	26	λ2	λ2	NOUN
ejpam-6281	558	27	=	=	SYM
ejpam-6281	558	28	(	(	PUNCT
ejpam-6281	558	29	10	10	NUM
ejpam-6281	558	30	,	,	PUNCT
ejpam-6281	558	31	30	30	NUM
ejpam-6281	558	32	,	,	PUNCT
ejpam-6281	558	33	60	60	NUM
ejpam-6281	558	34	)	)	PUNCT
ejpam-6281	558	35	kg	kg	NOUN
ejpam-6281	558	36	·	·	PUNCT
ejpam-6281	558	37	m2	m2	PROPN
ejpam-6281	558	38	·	·	PUNCT
ejpam-6281	558	39	s−1	s−1	PROPN
ejpam-6281	558	40	and	and	CCONJ
ejpam-6281	558	41	λ3	λ3	PROPN
ejpam-6281	558	42	=	=	NOUN
ejpam-6281	558	43	10	10	NUM
ejpam-6281	558	44	are	be	AUX
ejpam-6281	558	45	considered	consider	VERB
ejpam-6281	558	46	.	.	PUNCT
ejpam-6281	559	1	t.	t.	PROPN
ejpam-6281	559	2	s.	s.	PROPN
ejpam-6281	559	3	amer	amer	PROPN
ejpam-6281	559	4	et	et	PROPN
ejpam-6281	559	5	al	al	PROPN
ejpam-6281	559	6	.	.	PUNCT
ejpam-6281	559	7	/	/	SYM
ejpam-6281	559	8	eur	eur	PROPN
ejpam-6281	559	9	.	.	PUNCT
ejpam-6281	560	1	j.	j.	PROPN
ejpam-6281	560	2	pure	pure	PROPN
ejpam-6281	560	3	appl	appl	PROPN
ejpam-6281	560	4	.	.	PROPN
ejpam-6281	560	5	math	math	PROPN
ejpam-6281	560	6	,	,	PUNCT
ejpam-6281	560	7	18	18	NUM
ejpam-6281	560	8	(	(	PUNCT
ejpam-6281	560	9	3	3	NUM
ejpam-6281	560	10	)	)	PUNCT
ejpam-6281	560	11	(	(	PUNCT
ejpam-6281	560	12	2025	2025	NUM
ejpam-6281	560	13	)	)	PUNCT
ejpam-6281	560	14	,	,	PUNCT
ejpam-6281	560	15	6281	6281	NUM
ejpam-6281	560	16	22	22	NUM
ejpam-6281	560	17	of	of	ADP
ejpam-6281	560	18	35	35	NUM
ejpam-6281	560	19	figure	figure	NOUN
ejpam-6281	560	20	3	3	NUM
ejpam-6281	560	21	:	:	PUNCT
ejpam-6281	560	22	depicts	depict	VERB
ejpam-6281	560	23	the	the	DET
ejpam-6281	560	24	phase	phase	NOUN
ejpam-6281	560	25	plane	plane	NOUN
ejpam-6281	560	26	representations	representation	NOUN
ejpam-6281	560	27	of	of	ADP
ejpam-6281	560	28	time	time	NOUN
ejpam-6281	560	29	dependent	dependent	ADJ
ejpam-6281	560	30	functions	function	NOUN
ejpam-6281	560	31	in	in	ADP
ejpam-6281	560	32	fig.2	fig.2	PROPN
ejpam-6281	560	33	.	.	PUNCT
ejpam-6281	561	1	figure	figure	NOUN
ejpam-6281	561	2	4	4	NUM
ejpam-6281	561	3	:	:	PUNCT
ejpam-6281	561	4	shows	show	VERB
ejpam-6281	561	5	the	the	DET
ejpam-6281	561	6	variation	variation	NOUN
ejpam-6281	561	7	of	of	ADP
ejpam-6281	561	8	p(t	p(t	NOUN
ejpam-6281	561	9	)	)	PUNCT
ejpam-6281	561	10	,	,	PUNCT
ejpam-6281	561	11	q(t	q(t	PROPN
ejpam-6281	561	12	)	)	PUNCT
ejpam-6281	561	13	,	,	PUNCT
ejpam-6281	561	14	r(t	r(t	NOUN
ejpam-6281	561	15	)	)	PUNCT
ejpam-6281	561	16	,	,	PUNCT
ejpam-6281	561	17	α(t	α(t	PROPN
ejpam-6281	561	18	)	)	PUNCT
ejpam-6281	561	19	,	,	PUNCT
ejpam-6281	561	20	β(t	β(t	PROPN
ejpam-6281	561	21	)	)	PUNCT
ejpam-6281	561	22	and	and	CCONJ
ejpam-6281	561	23	γ(t	γ(t	NOUN
ejpam-6281	561	24	)	)	PUNCT
ejpam-6281	562	1	when	when	SCONJ
ejpam-6281	562	2	λ3	λ3	PROPN
ejpam-6281	562	3	=	=	SYM
ejpam-6281	562	4	(	(	PUNCT
ejpam-6281	562	5	10	10	NUM
ejpam-6281	562	6	,	,	PUNCT
ejpam-6281	562	7	30	30	NUM
ejpam-6281	562	8	,	,	PUNCT
ejpam-6281	562	9	60)kg.m2.s−1	60)kg.m2.s−1	NUM
ejpam-6281	562	10	and	and	CCONJ
ejpam-6281	562	11	λ2	λ2	NOUN
ejpam-6281	562	12	=	=	SYM
ejpam-6281	562	13	10	10	NUM
ejpam-6281	562	14	.	.	PUNCT
ejpam-6281	563	1	t.	t.	PROPN
ejpam-6281	563	2	s.	s.	PROPN
ejpam-6281	563	3	amer	amer	PROPN
ejpam-6281	563	4	et	et	PROPN
ejpam-6281	563	5	al	al	PROPN
ejpam-6281	563	6	.	.	PUNCT
ejpam-6281	563	7	/	/	SYM
ejpam-6281	563	8	eur	eur	PROPN
ejpam-6281	563	9	.	.	PUNCT
ejpam-6281	564	1	j.	j.	PROPN
ejpam-6281	564	2	pure	pure	PROPN
ejpam-6281	564	3	appl	appl	PROPN
ejpam-6281	564	4	.	.	PROPN
ejpam-6281	564	5	math	math	PROPN
ejpam-6281	564	6	,	,	PUNCT
ejpam-6281	564	7	18	18	NUM
ejpam-6281	564	8	(	(	PUNCT
ejpam-6281	564	9	3	3	NUM
ejpam-6281	564	10	)	)	PUNCT
ejpam-6281	564	11	(	(	PUNCT
ejpam-6281	564	12	2025	2025	NUM
ejpam-6281	564	13	)	)	PUNCT
ejpam-6281	564	14	,	,	PUNCT
ejpam-6281	564	15	6281	6281	NUM
ejpam-6281	564	16	23	23	NUM
ejpam-6281	564	17	of	of	ADP
ejpam-6281	564	18	35	35	NUM
ejpam-6281	564	19	figure	figure	NOUN
ejpam-6281	564	20	5	5	NUM
ejpam-6281	564	21	:	:	PUNCT
ejpam-6281	564	22	reveals	reveal	VERB
ejpam-6281	564	23	the	the	DET
ejpam-6281	564	24	phase	phase	NOUN
ejpam-6281	564	25	plane	plane	NOUN
ejpam-6281	564	26	plots	plot	NOUN
ejpam-6281	564	27	of	of	ADP
ejpam-6281	564	28	time	time	NOUN
ejpam-6281	564	29	dependent	dependent	ADJ
ejpam-6281	564	30	functions	function	NOUN
ejpam-6281	564	31	in	in	ADP
ejpam-6281	564	32	fig.4	fig.4	PROPN
ejpam-6281	564	33	.	.	PROPN
ejpam-6281	564	34	figure	figure	NOUN
ejpam-6281	564	35	6	6	NUM
ejpam-6281	564	36	:	:	PUNCT
ejpam-6281	564	37	presents	present	VERB
ejpam-6281	564	38	the	the	DET
ejpam-6281	564	39	temporal	temporal	ADJ
ejpam-6281	564	40	histories	history	NOUN
ejpam-6281	564	41	of	of	ADP
ejpam-6281	564	42	:	:	PUNCT
ejpam-6281	564	43	(	(	PUNCT
ejpam-6281	564	44	a	a	X
ejpam-6281	564	45	)	)	PUNCT
ejpam-6281	564	46	θ	θ	NOUN
ejpam-6281	564	47	,	,	PUNCT
ejpam-6281	564	48	(	(	PUNCT
ejpam-6281	564	49	b	b	NOUN
ejpam-6281	564	50	)	)	PUNCT
ejpam-6281	564	51	ψ	ψ	NOUN
ejpam-6281	564	52	,	,	PUNCT
ejpam-6281	564	53	and	and	CCONJ
ejpam-6281	564	54	(	(	PUNCT
ejpam-6281	564	55	c	c	X
ejpam-6281	564	56	)	)	PUNCT
ejpam-6281	564	57	ϕ	ϕ	NOUN
ejpam-6281	564	58	at	at	ADP
ejpam-6281	564	59	λ2(=	λ2(=	NOUN
ejpam-6281	564	60	10	10	NUM
ejpam-6281	564	61	,	,	PUNCT
ejpam-6281	564	62	30	30	NUM
ejpam-6281	564	63	,	,	PUNCT
ejpam-6281	564	64	60	60	NUM
ejpam-6281	564	65	)	)	PUNCT
ejpam-6281	564	66	and	and	CCONJ
ejpam-6281	564	67	λ3	λ3	PROPN
ejpam-6281	564	68	=	=	PROPN
ejpam-6281	564	69	10	10	NUM
ejpam-6281	564	70	.	.	PUNCT
ejpam-6281	565	1	t.	t.	PROPN
ejpam-6281	565	2	s.	s.	PROPN
ejpam-6281	565	3	amer	amer	PROPN
ejpam-6281	565	4	et	et	PROPN
ejpam-6281	565	5	al	al	PROPN
ejpam-6281	565	6	.	.	PUNCT
ejpam-6281	565	7	/	/	SYM
ejpam-6281	565	8	eur	eur	PROPN
ejpam-6281	565	9	.	.	PUNCT
ejpam-6281	566	1	j.	j.	PROPN
ejpam-6281	566	2	pure	pure	PROPN
ejpam-6281	566	3	appl	appl	PROPN
ejpam-6281	566	4	.	.	PROPN
ejpam-6281	566	5	math	math	PROPN
ejpam-6281	566	6	,	,	PUNCT
ejpam-6281	566	7	18	18	NUM
ejpam-6281	566	8	(	(	PUNCT
ejpam-6281	566	9	3	3	NUM
ejpam-6281	566	10	)	)	PUNCT
ejpam-6281	566	11	(	(	PUNCT
ejpam-6281	566	12	2025	2025	NUM
ejpam-6281	566	13	)	)	PUNCT
ejpam-6281	566	14	,	,	PUNCT
ejpam-6281	566	15	6281	6281	NUM
ejpam-6281	566	16	24	24	NUM
ejpam-6281	566	17	of	of	ADP
ejpam-6281	566	18	35	35	NUM
ejpam-6281	566	19	figure	figure	NOUN
ejpam-6281	566	20	7	7	NUM
ejpam-6281	566	21	:	:	PUNCT
ejpam-6281	566	22	shows	show	VERB
ejpam-6281	566	23	the	the	DET
ejpam-6281	566	24	time	time	NOUN
ejpam-6281	566	25	histories	history	NOUN
ejpam-6281	566	26	of	of	ADP
ejpam-6281	566	27	the	the	DET
ejpam-6281	566	28	angles	angle	NOUN
ejpam-6281	566	29	(	(	PUNCT
ejpam-6281	566	30	a	a	NOUN
ejpam-6281	566	31	)	)	PUNCT
ejpam-6281	566	32	θ	θ	NOUN
ejpam-6281	566	33	,	,	PUNCT
ejpam-6281	566	34	(	(	PUNCT
ejpam-6281	566	35	b	b	NOUN
ejpam-6281	566	36	)	)	PUNCT
ejpam-6281	566	37	ψ	ψ	NOUN
ejpam-6281	566	38	,	,	PUNCT
ejpam-6281	566	39	and	and	CCONJ
ejpam-6281	566	40	(	(	PUNCT
ejpam-6281	566	41	c	c	X
ejpam-6281	566	42	)	)	PUNCT
ejpam-6281	566	43	ϕ	ϕ	NOUN
ejpam-6281	566	44	when	when	SCONJ
ejpam-6281	566	45	λ3(=	λ3(=	PROPN
ejpam-6281	566	46	10	10	NUM
ejpam-6281	566	47	,	,	PUNCT
ejpam-6281	566	48	30	30	NUM
ejpam-6281	566	49	,	,	PUNCT
ejpam-6281	566	50	60	60	NUM
ejpam-6281	566	51	)	)	PUNCT
ejpam-6281	566	52	and	and	CCONJ
ejpam-6281	566	53	λ2	λ2	NOUN
ejpam-6281	566	54	=	=	SYM
ejpam-6281	566	55	10	10	NUM
ejpam-6281	566	56	are	be	AUX
ejpam-6281	566	57	consided	conside	VERB
ejpam-6281	566	58	.	.	PUNCT
ejpam-6281	567	1	7	7	X
ejpam-6281	567	2	.	.	X
ejpam-6281	567	3	conclusion	conclusion	NOUN
ejpam-6281	567	4	this	this	DET
ejpam-6281	567	5	work	work	NOUN
ejpam-6281	567	6	analyzes	analyze	VERB
ejpam-6281	567	7	the	the	DET
ejpam-6281	567	8	three	three	NUM
ejpam-6281	567	9	-	-	PUNCT
ejpam-6281	567	10	dimensional	dimensional	ADJ
ejpam-6281	567	11	motion	motion	NOUN
ejpam-6281	567	12	of	of	ADP
ejpam-6281	567	13	a	a	DET
ejpam-6281	567	14	new	new	ADJ
ejpam-6281	567	15	rb	rb	NOUN
ejpam-6281	567	16	according	accord	VERB
ejpam-6281	567	17	to	to	ADP
ejpam-6281	567	18	lagrange	lagrange	PROPN
ejpam-6281	567	19	’s	’s	PART
ejpam-6281	567	20	gyroscope	gyroscope	NOUN
ejpam-6281	567	21	model	model	NOUN
ejpam-6281	567	22	,	,	PUNCT
ejpam-6281	567	23	considering	consider	VERB
ejpam-6281	567	24	a	a	DET
ejpam-6281	567	25	new	new	ADJ
ejpam-6281	567	26	condition	condition	NOUN
ejpam-6281	567	27	by	by	ADP
ejpam-6281	567	28	giving	give	VERB
ejpam-6281	567	29	the	the	DET
ejpam-6281	567	30	body	body	NOUN
ejpam-6281	567	31	a	a	DET
ejpam-6281	567	32	very	very	ADV
ejpam-6281	567	33	much	much	ADJ
ejpam-6281	567	34	displacement	displacement	NOUN
ejpam-6281	567	35	of	of	ADP
ejpam-6281	567	36	the	the	DET
ejpam-6281	567	37	center	center	NOUN
ejpam-6281	567	38	of	of	ADP
ejpam-6281	567	39	mass	mass	NOUN
ejpam-6281	567	40	from	from	ADP
ejpam-6281	567	41	the	the	DET
ejpam-6281	567	42	axis	axis	NOUN
ejpam-6281	567	43	of	of	ADP
ejpam-6281	567	44	dynamic	dynamic	ADJ
ejpam-6281	567	45	symmetry	symmetry	NOUN
ejpam-6281	567	46	.	.	PUNCT
ejpam-6281	568	1	the	the	DET
ejpam-6281	568	2	body	body	NOUN
ejpam-6281	568	3	is	be	AUX
ejpam-6281	568	4	influenced	influence	VERB
ejpam-6281	568	5	by	by	ADP
ejpam-6281	568	6	a	a	DET
ejpam-6281	568	7	gm	gm	NOUN
ejpam-6281	568	8	along	along	ADP
ejpam-6281	568	9	the	the	DET
ejpam-6281	568	10	main	main	ADJ
ejpam-6281	568	11	inertia	inertia	NOUN
ejpam-6281	568	12	axes	axis	NOUN
ejpam-6281	568	13	and	and	CCONJ
ejpam-6281	568	14	a	a	DET
ejpam-6281	568	15	nff	nff	NOUN
ejpam-6281	568	16	.	.	PUNCT
ejpam-6281	569	1	the	the	DET
ejpam-6281	569	2	governing	govern	VERB
ejpam-6281	569	3	eom	eom	PROPN
ejpam-6281	569	4	and	and	CCONJ
ejpam-6281	569	5	their	their	PRON
ejpam-6281	569	6	first	first	ADJ
ejpam-6281	569	7	integrals	integral	NOUN
ejpam-6281	569	8	are	be	AUX
ejpam-6281	569	9	reformulated	reformulate	VERB
ejpam-6281	569	10	as	as	ADP
ejpam-6281	569	11	a	a	DET
ejpam-6281	569	12	nonlinear	nonlinear	ADJ
ejpam-6281	569	13	dynamical	dynamical	ADJ
ejpam-6281	569	14	system	system	NOUN
ejpam-6281	569	15	of	of	ADP
ejpam-6281	569	16	four	four	NUM
ejpam-6281	569	17	first	first	ADJ
ejpam-6281	569	18	-	-	PUNCT
ejpam-6281	569	19	order	order	NOUN
ejpam-6281	569	20	des	de	NOUN
ejpam-6281	569	21	,	,	PUNCT
ejpam-6281	569	22	which	which	PRON
ejpam-6281	569	23	are	be	AUX
ejpam-6281	569	24	solved	solve	VERB
ejpam-6281	569	25	via	via	ADP
ejpam-6281	569	26	the	the	DET
ejpam-6281	569	27	lpa	lpa	PROPN
ejpam-6281	569	28	.	.	PUNCT
ejpam-6281	570	1	advanced	advanced	ADJ
ejpam-6281	570	2	computational	computational	ADJ
ejpam-6281	570	3	tools	tool	NOUN
ejpam-6281	570	4	are	be	AUX
ejpam-6281	570	5	employed	employ	VERB
ejpam-6281	570	6	to	to	PART
ejpam-6281	570	7	analyze	analyze	VERB
ejpam-6281	570	8	the	the	DET
ejpam-6281	570	9	solutions	solution	NOUN
ejpam-6281	570	10	and	and	CCONJ
ejpam-6281	570	11	visualize	visualize	VERB
ejpam-6281	570	12	the	the	DET
ejpam-6281	570	13	influence	influence	NOUN
ejpam-6281	570	14	of	of	ADP
ejpam-6281	570	15	varying	vary	VERB
ejpam-6281	570	16	applied	apply	VERB
ejpam-6281	570	17	moments	moment	NOUN
ejpam-6281	570	18	and	and	CCONJ
ejpam-6281	570	19	nff	nff	PROPN
ejpam-6281	570	20	on	on	ADP
ejpam-6281	570	21	the	the	DET
ejpam-6281	570	22	body	body	NOUN
ejpam-6281	570	23	’s	’s	PART
ejpam-6281	570	24	motion	motion	NOUN
ejpam-6281	570	25	.	.	PUNCT
ejpam-6281	571	1	these	these	DET
ejpam-6281	571	2	solutions	solution	NOUN
ejpam-6281	571	3	extend	extend	VERB
ejpam-6281	571	4	and	and	CCONJ
ejpam-6281	571	5	generalize	generalize	VERB
ejpam-6281	571	6	previous	previous	ADJ
ejpam-6281	571	7	findings	finding	NOUN
ejpam-6281	571	8	by	by	ADP
ejpam-6281	571	9	elfimov	elfimov	ADJ
ejpam-6281	572	1	[	[	X
ejpam-6281	572	2	26	26	NUM
ejpam-6281	572	3	]	]	PUNCT
ejpam-6281	572	4	,	,	PUNCT
ejpam-6281	572	5	which	which	PRON
ejpam-6281	572	6	considered	consider	VERB
ejpam-6281	572	7	the	the	DET
ejpam-6281	572	8	absence	absence	NOUN
ejpam-6281	572	9	of	of	ADP
ejpam-6281	572	10	external	external	ADJ
ejpam-6281	572	11	moments	moment	NOUN
ejpam-6281	572	12	and	and	CCONJ
ejpam-6281	572	13	forces	force	NOUN
ejpam-6281	572	14	,	,	PUNCT
ejpam-6281	572	15	and	and	CCONJ
ejpam-6281	572	16	by	by	ADP
ejpam-6281	572	17	amer	amer	PROPN
ejpam-6281	573	1	[	[	X
ejpam-6281	573	2	16	16	NUM
ejpam-6281	573	3	]	]	X
ejpam-6281	573	4	,	,	PUNCT
ejpam-6281	573	5	which	which	PRON
ejpam-6281	573	6	examined	examine	VERB
ejpam-6281	573	7	the	the	DET
ejpam-6281	573	8	case	case	NOUN
ejpam-6281	573	9	of	of	ADP
ejpam-6281	573	10	a	a	DET
ejpam-6281	573	11	uniform	uniform	ADJ
ejpam-6281	573	12	field	field	NOUN
ejpam-6281	573	13	.	.	PUNCT
ejpam-6281	574	1	the	the	DET
ejpam-6281	574	2	stability	stability	NOUN
ejpam-6281	574	3	of	of	ADP
ejpam-6281	574	4	the	the	DET
ejpam-6281	574	5	obtained	obtain	VERB
ejpam-6281	574	6	solutions	solution	NOUN
ejpam-6281	574	7	is	be	AUX
ejpam-6281	574	8	evaluated	evaluate	VERB
ejpam-6281	574	9	using	use	VERB
ejpam-6281	574	10	computational	computational	ADJ
ejpam-6281	574	11	methods	method	NOUN
ejpam-6281	574	12	,	,	PUNCT
ejpam-6281	574	13	generating	generate	VERB
ejpam-6281	574	14	diagrams	diagram	NOUN
ejpam-6281	574	15	of	of	ADP
ejpam-6281	574	16	the	the	DET
ejpam-6281	574	17	phase	phase	NOUN
ejpam-6281	574	18	plane	plane	NOUN
ejpam-6281	574	19	which	which	PRON
ejpam-6281	574	20	confirm	confirm	VERB
ejpam-6281	574	21	the	the	DET
ejpam-6281	574	22	motion	motion	NOUN
ejpam-6281	574	23	remains	remain	VERB
ejpam-6281	574	24	free	free	ADJ
ejpam-6281	574	25	of	of	ADP
ejpam-6281	574	26	chaotic	chaotic	ADJ
ejpam-6281	574	27	behavior	behavior	NOUN
ejpam-6281	574	28	.	.	PUNCT
ejpam-6281	575	1	additionally	additionally	ADV
ejpam-6281	575	2	,	,	PUNCT
ejpam-6281	575	3	geometric	geometric	ADJ
ejpam-6281	575	4	interpretations	interpretation	NOUN
ejpam-6281	575	5	are	be	AUX
ejpam-6281	575	6	conducted	conduct	VERB
ejpam-6281	575	7	to	to	PART
ejpam-6281	575	8	determine	determine	VERB
ejpam-6281	575	9	the	the	DET
ejpam-6281	575	10	body	body	NOUN
ejpam-6281	575	11	’s	’s	PART
ejpam-6281	575	12	orientation	orientation	NOUN
ejpam-6281	575	13	over	over	ADP
ejpam-6281	575	14	time	time	NOUN
ejpam-6281	575	15	,	,	PUNCT
ejpam-6281	575	16	utilizing	utilize	VERB
ejpam-6281	575	17	euler	euler	NOUN
ejpam-6281	575	18	’s	’s	PART
ejpam-6281	575	19	angles	angle	NOUN
ejpam-6281	575	20	.	.	PUNCT
ejpam-6281	576	1	time	time	NOUN
ejpam-6281	576	2	-	-	PUNCT
ejpam-6281	576	3	histories	histories	NOUN
ejpam-6281	576	4	plots	plot	NOUN
ejpam-6281	576	5	of	of	ADP
ejpam-6281	576	6	these	these	DET
ejpam-6281	576	7	angles	angle	NOUN
ejpam-6281	576	8	further	far	ADV
ejpam-6281	576	9	illustrate	illustrate	VERB
ejpam-6281	576	10	the	the	DET
ejpam-6281	576	11	effects	effect	NOUN
ejpam-6281	576	12	of	of	ADP
ejpam-6281	576	13	different	different	ADJ
ejpam-6281	576	14	physical	physical	ADJ
ejpam-6281	576	15	parameters	parameter	NOUN
ejpam-6281	576	16	on	on	ADP
ejpam-6281	576	17	motion	motion	NOUN
ejpam-6281	576	18	.	.	PUNCT
ejpam-6281	577	1	this	this	DET
ejpam-6281	577	2	research	research	NOUN
ejpam-6281	577	3	is	be	AUX
ejpam-6281	577	4	highly	highly	ADV
ejpam-6281	577	5	relevant	relevant	ADJ
ejpam-6281	577	6	due	due	ADP
ejpam-6281	577	7	to	to	ADP
ejpam-6281	577	8	its	its	PRON
ejpam-6281	577	9	wide	wide	ADV
ejpam-6281	577	10	-	-	PUNCT
ejpam-6281	577	11	ranging	range	VERB
ejpam-6281	577	12	applications	application	NOUN
ejpam-6281	577	13	in	in	ADP
ejpam-6281	577	14	celestial	celestial	ADJ
ejpam-6281	577	15	mechanics	mechanic	NOUN
ejpam-6281	577	16	,	,	PUNCT
ejpam-6281	577	17	physics	physics	NOUN
ejpam-6281	577	18	,	,	PUNCT
ejpam-6281	577	19	and	and	CCONJ
ejpam-6281	577	20	gyroscopic	gyroscopic	NOUN
ejpam-6281	577	21	systems	system	NOUN
ejpam-6281	577	22	,	,	PUNCT
ejpam-6281	577	23	offering	offer	VERB
ejpam-6281	577	24	valuable	valuable	ADJ
ejpam-6281	577	25	insights	insight	NOUN
ejpam-6281	577	26	into	into	ADP
ejpam-6281	577	27	the	the	DET
ejpam-6281	577	28	dynamics	dynamic	NOUN
ejpam-6281	577	29	of	of	ADP
ejpam-6281	577	30	rigid	rigid	ADJ
ejpam-6281	577	31	bodies	body	NOUN
ejpam-6281	577	32	subjected	subject	VERB
ejpam-6281	577	33	to	to	ADP
ejpam-6281	577	34	complex	complex	ADJ
ejpam-6281	577	35	force	force	NOUN
ejpam-6281	577	36	interactions	interaction	NOUN
ejpam-6281	577	37	.	.	PUNCT
ejpam-6281	578	1	this	this	DET
ejpam-6281	578	2	study	study	NOUN
ejpam-6281	578	3	is	be	AUX
ejpam-6281	578	4	expected	expect	VERB
ejpam-6281	578	5	to	to	PART
ejpam-6281	578	6	significantly	significantly	ADV
ejpam-6281	578	7	impact	impact	VERB
ejpam-6281	578	8	the	the	DET
ejpam-6281	578	9	aerospace	aerospace	NOUN
ejpam-6281	578	10	industry	industry	NOUN
ejpam-6281	578	11	by	by	ADP
ejpam-6281	578	12	enhancing	enhance	VERB
ejpam-6281	578	13	our	our	PRON
ejpam-6281	578	14	understanding	understanding	NOUN
ejpam-6281	578	15	of	of	ADP
ejpam-6281	578	16	rotational	rotational	ADJ
ejpam-6281	578	17	motion	motion	NOUN
ejpam-6281	578	18	and	and	CCONJ
ejpam-6281	578	19	celestial	celestial	ADJ
ejpam-6281	578	20	dynamics	dynamic	NOUN
ejpam-6281	578	21	,	,	PUNCT
ejpam-6281	578	22	with	with	ADP
ejpam-6281	578	23	direct	direct	ADJ
ejpam-6281	578	24	applications	application	NOUN
ejpam-6281	578	25	in	in	ADP
ejpam-6281	578	26	the	the	DET
ejpam-6281	578	27	design	design	NOUN
ejpam-6281	578	28	and	and	CCONJ
ejpam-6281	578	29	operation	operation	NOUN
ejpam-6281	578	30	of	of	ADP
ejpam-6281	578	31	spacecraft	spacecraft	NOUN
ejpam-6281	578	32	,	,	PUNCT
ejpam-6281	578	33	satellites	satellite	NOUN
ejpam-6281	578	34	,	,	PUNCT
ejpam-6281	578	35	and	and	CCONJ
ejpam-6281	578	36	other	other	ADJ
ejpam-6281	578	37	space	space	NOUN
ejpam-6281	578	38	vehicles	vehicle	NOUN
ejpam-6281	578	39	.	.	PUNCT
ejpam-6281	579	1	t.	t.	PROPN
ejpam-6281	579	2	s.	s.	PROPN
ejpam-6281	579	3	amer	amer	PROPN
ejpam-6281	579	4	et	et	PROPN
ejpam-6281	579	5	al	al	PROPN
ejpam-6281	579	6	.	.	PUNCT
ejpam-6281	579	7	/	/	SYM
ejpam-6281	579	8	eur	eur	PROPN
ejpam-6281	579	9	.	.	PUNCT
ejpam-6281	580	1	j.	j.	PROPN
ejpam-6281	580	2	pure	pure	PROPN
ejpam-6281	580	3	appl	appl	PROPN
ejpam-6281	580	4	.	.	PROPN
ejpam-6281	580	5	math	math	PROPN
ejpam-6281	580	6	,	,	PUNCT
ejpam-6281	580	7	18	18	NUM
ejpam-6281	580	8	(	(	PUNCT
ejpam-6281	580	9	3	3	NUM
ejpam-6281	580	10	)	)	PUNCT
ejpam-6281	580	11	(	(	PUNCT
ejpam-6281	580	12	2025	2025	NUM
ejpam-6281	580	13	)	)	PUNCT
ejpam-6281	580	14	,	,	PUNCT
ejpam-6281	580	15	6281	6281	NUM
ejpam-6281	580	16	25	25	NUM
ejpam-6281	580	17	of	of	ADP
ejpam-6281	580	18	35	35	NUM
ejpam-6281	580	19	authors	author	NOUN
ejpam-6281	580	20	’	’	PART
ejpam-6281	580	21	statements	statement	NOUN
ejpam-6281	580	22	•	•	ADP
ejpam-6281	580	23	t.	t.	PROPN
ejpam-6281	580	24	s.	s.	PROPN
ejpam-6281	580	25	amer	amer	PROPN
ejpam-6281	580	26	:	:	PUNCT
ejpam-6281	580	27	investigation	investigation	NOUN
ejpam-6281	580	28	,	,	PUNCT
ejpam-6281	580	29	methodology	methodology	NOUN
ejpam-6281	580	30	,	,	PUNCT
ejpam-6281	580	31	data	data	NOUN
ejpam-6281	580	32	curation	curation	NOUN
ejpam-6281	580	33	,	,	PUNCT
ejpam-6281	580	34	conceptualization	conceptualization	NOUN
ejpam-6281	580	35	,	,	PUNCT
ejpam-6281	580	36	validation	validation	NOUN
ejpam-6281	580	37	,	,	PUNCT
ejpam-6281	580	38	reviewing	reviewing	NOUN
ejpam-6281	580	39	and	and	CCONJ
ejpam-6281	580	40	editing	editing	NOUN
ejpam-6281	580	41	.	.	PUNCT
ejpam-6281	581	1	•	•	NUM
ejpam-6281	581	2	a.	a.	PROPN
ejpam-6281	581	3	i.	i.	PROPN
ejpam-6281	581	4	ismail	ismail	PROPN
ejpam-6281	581	5	:	:	PUNCT
ejpam-6281	581	6	methodology	methodology	NOUN
ejpam-6281	581	7	,	,	PUNCT
ejpam-6281	581	8	data	data	NOUN
ejpam-6281	581	9	curation	curation	NOUN
ejpam-6281	581	10	,	,	PUNCT
ejpam-6281	581	11	conceptualization	conceptualization	NOUN
ejpam-6281	581	12	,	,	PUNCT
ejpam-6281	581	13	validation	validation	NOUN
ejpam-6281	581	14	,	,	PUNCT
ejpam-6281	581	15	reviewing	reviewing	NOUN
ejpam-6281	581	16	and	and	CCONJ
ejpam-6281	581	17	editing	editing	NOUN
ejpam-6281	581	18	.	.	PUNCT
ejpam-6281	582	1	•	•	NUM
ejpam-6281	582	2	w.	w.	PROPN
ejpam-6281	582	3	s.	s.	PROPN
ejpam-6281	582	4	amer	amer	PROPN
ejpam-6281	582	5	:	:	PUNCT
ejpam-6281	582	6	conceptualization	conceptualization	NOUN
ejpam-6281	582	7	,	,	PUNCT
ejpam-6281	582	8	resources	resource	NOUN
ejpam-6281	582	9	,	,	PUNCT
ejpam-6281	582	10	formal	formal	ADJ
ejpam-6281	582	11	analysis	analysis	NOUN
ejpam-6281	582	12	,	,	PUNCT
ejpam-6281	582	13	validation	validation	NOUN
ejpam-6281	582	14	,	,	PUNCT
ejpam-6281	582	15	visualization	visualization	NOUN
ejpam-6281	582	16	,	,	PUNCT
ejpam-6281	582	17	and	and	CCONJ
ejpam-6281	582	18	reviewing	reviewing	NOUN
ejpam-6281	582	19	.	.	PUNCT
ejpam-6281	583	1	•	•	NUM
ejpam-6281	583	2	h.	h.	PROPN
ejpam-6281	583	3	f.	f.	PROPN
ejpam-6281	583	4	el	el	PROPN
ejpam-6281	583	5	-	-	PUNCT
ejpam-6281	583	6	kafly	kafly	NOUN
ejpam-6281	583	7	:	:	PUNCT
ejpam-6281	583	8	resources	resource	NOUN
ejpam-6281	583	9	,	,	PUNCT
ejpam-6281	583	10	methodology	methodology	NOUN
ejpam-6281	583	11	,	,	PUNCT
ejpam-6281	583	12	conceptualization	conceptualization	NOUN
ejpam-6281	583	13	,	,	PUNCT
ejpam-6281	583	14	validation	validation	NOUN
ejpam-6281	583	15	,	,	PUNCT
ejpam-6281	583	16	formal	formal	ADJ
ejpam-6281	583	17	analysis	analysis	NOUN
ejpam-6281	583	18	,	,	PUNCT
ejpam-6281	583	19	visualization	visualization	NOUN
ejpam-6281	583	20	,	,	PUNCT
ejpam-6281	583	21	and	and	CCONJ
ejpam-6281	583	22	reviewing	review	VERB
ejpam-6281	583	23	.	.	PUNCT
ejpam-6281	584	1	conflict	conflict	NOUN
ejpam-6281	584	2	of	of	ADP
ejpam-6281	584	3	interest	interest	NOUN
ejpam-6281	584	4	the	the	DET
ejpam-6281	584	5	authors	author	NOUN
ejpam-6281	584	6	declare	declare	VERB
ejpam-6281	584	7	that	that	SCONJ
ejpam-6281	584	8	they	they	PRON
ejpam-6281	584	9	have	have	VERB
ejpam-6281	584	10	no	no	DET
ejpam-6281	584	11	conflict	conflict	NOUN
ejpam-6281	584	12	of	of	ADP
ejpam-6281	584	13	interest	interest	NOUN
ejpam-6281	584	14	.	.	PUNCT
ejpam-6281	585	1	funding	funding	NOUN
ejpam-6281	585	2	acknowledgements	acknowledgement	NOUN
ejpam-6281	585	3	the	the	DET
ejpam-6281	585	4	author	author	NOUN
ejpam-6281	585	5	extends	extend	VERB
ejpam-6281	585	6	their	their	PRON
ejpam-6281	585	7	appreciation	appreciation	NOUN
ejpam-6281	585	8	to	to	ADP
ejpam-6281	585	9	umm	umm	ADJ
ejpam-6281	585	10	-	-	PUNCT
ejpam-6281	585	11	alqura	alqura	NOUN
ejpam-6281	585	12	university	university	NOUN
ejpam-6281	585	13	,	,	PUNCT
ejpam-6281	585	14	saudi	saudi	PROPN
ejpam-6281	585	15	arabia	arabia	PROPN
ejpam-6281	585	16	for	for	ADP
ejpam-6281	585	17	funding	fund	VERB
ejpam-6281	585	18	this	this	DET
ejpam-6281	585	19	research	research	NOUN
ejpam-6281	585	20	work	work	NOUN
ejpam-6281	585	21	through	through	ADP
ejpam-6281	585	22	grant	grant	NOUN
ejpam-6281	585	23	number	number	NOUN
ejpam-6281	585	24	:	:	PUNCT
ejpam-6281	585	25	25uqu4240002gssr06	25uqu4240002gssr06	NUM
ejpam-6281	585	26	data	datum	NOUN
ejpam-6281	585	27	availability	availability	NOUN
ejpam-6281	585	28	data	datum	NOUN
ejpam-6281	585	29	sharing	share	VERB
ejpam-6281	585	30	not	not	PART
ejpam-6281	585	31	applicable	applicable	ADJ
ejpam-6281	585	32	to	to	ADP
ejpam-6281	585	33	this	this	DET
ejpam-6281	585	34	article	article	NOUN
ejpam-6281	585	35	as	as	SCONJ
ejpam-6281	585	36	no	no	DET
ejpam-6281	585	37	datasets	dataset	NOUN
ejpam-6281	585	38	were	be	AUX
ejpam-6281	585	39	generated	generate	VERB
ejpam-6281	585	40	or	or	CCONJ
ejpam-6281	585	41	analyzed	analyze	VERB
ejpam-6281	585	42	during	during	ADP
ejpam-6281	585	43	the	the	DET
ejpam-6281	585	44	current	current	ADJ
ejpam-6281	585	45	study	study	NOUN
ejpam-6281	585	46	.	.	PUNCT
ejpam-6281	586	1	references	reference	NOUN
ejpam-6281	586	2	[	[	X
ejpam-6281	586	3	1	1	NUM
ejpam-6281	586	4	]	]	PUNCT
ejpam-6281	586	5	eugene	eugene	NOUN
ejpam-6281	586	6	leimanis	leimanis	PROPN
ejpam-6281	586	7	.	.	PUNCT
ejpam-6281	587	1	the	the	DET
ejpam-6281	587	2	general	general	ADJ
ejpam-6281	587	3	problem	problem	NOUN
ejpam-6281	587	4	of	of	ADP
ejpam-6281	587	5	the	the	DET
ejpam-6281	587	6	motion	motion	NOUN
ejpam-6281	587	7	of	of	ADP
ejpam-6281	587	8	coupled	couple	VERB
ejpam-6281	587	9	rigid	rigid	ADJ
ejpam-6281	587	10	bodies	body	NOUN
ejpam-6281	587	11	about	about	ADP
ejpam-6281	587	12	a	a	DET
ejpam-6281	587	13	fixed	fix	VERB
ejpam-6281	587	14	point	point	NOUN
ejpam-6281	587	15	,	,	PUNCT
ejpam-6281	587	16	volume	volume	NOUN
ejpam-6281	587	17	7	7	NUM
ejpam-6281	587	18	.	.	PUNCT
ejpam-6281	587	19	springer	springer	NOUN
ejpam-6281	587	20	science	science	PROPN
ejpam-6281	587	21	&	&	CCONJ
ejpam-6281	587	22	business	business	NOUN
ejpam-6281	587	23	media	medium	NOUN
ejpam-6281	587	24	,	,	PUNCT
ejpam-6281	587	25	2013	2013	NUM
ejpam-6281	587	26	.	.	PUNCT
ejpam-6281	588	1	[	[	X
ejpam-6281	588	2	2	2	X
ejpam-6281	588	3	]	]	PUNCT
ejpam-6281	588	4	h.	h.	PROPN
ejpam-6281	588	5	m.	m.	PROPN
ejpam-6281	588	6	yehia	yehia	PROPN
ejpam-6281	588	7	and	and	CCONJ
ejpam-6281	588	8	a.	a.	NOUN
ejpam-6281	588	9	a.	a.	NOUN
ejpam-6281	588	10	elmandouh	elmandouh	PROPN
ejpam-6281	588	11	.	.	PUNCT
ejpam-6281	589	1	new	new	ADJ
ejpam-6281	589	2	conditional	conditional	ADJ
ejpam-6281	589	3	integrable	integrable	ADJ
ejpam-6281	589	4	cases	case	NOUN
ejpam-6281	589	5	of	of	ADP
ejpam-6281	589	6	motion	motion	NOUN
ejpam-6281	589	7	of	of	ADP
ejpam-6281	589	8	a	a	DET
ejpam-6281	589	9	rigid	rigid	ADJ
ejpam-6281	589	10	body	body	NOUN
ejpam-6281	589	11	with	with	ADP
ejpam-6281	589	12	kovalevskaya	kovalevskaya	PROPN
ejpam-6281	589	13	’s	’s	PART
ejpam-6281	589	14	configuration	configuration	NOUN
ejpam-6281	589	15	.	.	PUNCT
ejpam-6281	590	1	journal	journal	PROPN
ejpam-6281	590	2	of	of	ADP
ejpam-6281	590	3	physics	physics	PROPN
ejpam-6281	590	4	a	a	PRON
ejpam-6281	590	5	:	:	PUNCT
ejpam-6281	590	6	mathematical	mathematical	ADJ
ejpam-6281	590	7	and	and	CCONJ
ejpam-6281	590	8	theoretical	theoretical	ADJ
ejpam-6281	590	9	,	,	PUNCT
ejpam-6281	590	10	44(8	44(8	NUM
ejpam-6281	590	11	)	)	PUNCT
ejpam-6281	590	12	,	,	PUNCT
ejpam-6281	590	13	2011	2011	NUM
ejpam-6281	590	14	.	.	PUNCT
ejpam-6281	591	1	[	[	X
ejpam-6281	591	2	3	3	NUM
ejpam-6281	591	3	]	]	PUNCT
ejpam-6281	591	4	a.	a.	NOUN
ejpam-6281	591	5	i.	i.	PROPN
ejpam-6281	591	6	ismail	ismail	PROPN
ejpam-6281	591	7	and	and	CCONJ
ejpam-6281	591	8	t.	t.	PROPN
ejpam-6281	591	9	s.	s.	PROPN
ejpam-6281	591	10	amer	amer	PROPN
ejpam-6281	591	11	.	.	PUNCT
ejpam-6281	592	1	a	a	DET
ejpam-6281	592	2	necessary	necessary	ADJ
ejpam-6281	592	3	and	and	CCONJ
ejpam-6281	592	4	sufficient	sufficient	ADJ
ejpam-6281	592	5	condition	condition	NOUN
ejpam-6281	592	6	for	for	ADP
ejpam-6281	592	7	solving	solve	VERB
ejpam-6281	592	8	a	a	DET
ejpam-6281	592	9	rigid	rigid	ADJ
ejpam-6281	592	10	body	body	NOUN
ejpam-6281	592	11	problem	problem	NOUN
ejpam-6281	592	12	.	.	PUNCT
ejpam-6281	593	1	technische	technische	PROPN
ejpam-6281	593	2	mechanik	mechanik	PROPN
ejpam-6281	593	3	,	,	PUNCT
ejpam-6281	593	4	31(1):50–57	31(1):50–57	NUM
ejpam-6281	593	5	,	,	PUNCT
ejpam-6281	593	6	2011	2011	NUM
ejpam-6281	593	7	.	.	PUNCT
ejpam-6281	594	1	[	[	X
ejpam-6281	594	2	4	4	NUM
ejpam-6281	594	3	]	]	SYM
ejpam-6281	594	4	iu	iu	PROPN
ejpam-6281	594	5	.	.	PUNCT
ejpam-6281	594	6	a.	a.	PROPN
ejpam-6281	594	7	arkhangel’skii	arkhangel’skii	PROPN
ejpam-6281	594	8	.	.	PUNCT
ejpam-6281	595	1	on	on	ADP
ejpam-6281	595	2	the	the	DET
ejpam-6281	595	3	algebraic	algebraic	ADJ
ejpam-6281	595	4	integrals	integral	NOUN
ejpam-6281	595	5	in	in	ADP
ejpam-6281	595	6	the	the	DET
ejpam-6281	595	7	problem	problem	NOUN
ejpam-6281	595	8	of	of	ADP
ejpam-6281	595	9	motion	motion	NOUN
ejpam-6281	595	10	of	of	ADP
ejpam-6281	595	11	a	a	DET
ejpam-6281	595	12	rigid	rigid	ADJ
ejpam-6281	595	13	body	body	NOUN
ejpam-6281	595	14	in	in	ADP
ejpam-6281	595	15	a	a	DET
ejpam-6281	595	16	newtonian	newtonian	ADJ
ejpam-6281	595	17	field	field	NOUN
ejpam-6281	595	18	of	of	ADP
ejpam-6281	595	19	force	force	NOUN
ejpam-6281	595	20	.	.	PUNCT
ejpam-6281	596	1	journal	journal	NOUN
ejpam-6281	596	2	of	of	ADP
ejpam-6281	596	3	applied	apply	VERB
ejpam-6281	596	4	mathematics	mathematic	NOUN
ejpam-6281	596	5	and	and	CCONJ
ejpam-6281	596	6	mechanics	mechanic	NOUN
ejpam-6281	596	7	,	,	PUNCT
ejpam-6281	596	8	27(1):247–254	27(1):247–254	NUM
ejpam-6281	596	9	,	,	PUNCT
ejpam-6281	596	10	1963	1963	NUM
ejpam-6281	596	11	.	.	PUNCT
ejpam-6281	597	1	[	[	X
ejpam-6281	597	2	5	5	X
ejpam-6281	597	3	]	]	X
ejpam-6281	597	4	hamad	hamad	PROPN
ejpam-6281	597	5	m.	m.	PROPN
ejpam-6281	597	6	yehia	yehia	PROPN
ejpam-6281	597	7	.	.	PUNCT
ejpam-6281	598	1	rigid	rigid	ADJ
ejpam-6281	598	2	body	body	NOUN
ejpam-6281	598	3	dynamics	dynamic	NOUN
ejpam-6281	598	4	.	.	PUNCT
ejpam-6281	599	1	advances	advance	NOUN
ejpam-6281	599	2	in	in	ADP
ejpam-6281	599	3	mechanics	mechanic	NOUN
ejpam-6281	599	4	and	and	CCONJ
ejpam-6281	599	5	mathematics	mathematic	NOUN
ejpam-6281	599	6	,	,	PUNCT
ejpam-6281	599	7	2022	2022	NUM
ejpam-6281	599	8	.	.	PUNCT
ejpam-6281	600	1	[	[	X
ejpam-6281	600	2	6	6	NUM
ejpam-6281	600	3	]	]	PUNCT
ejpam-6281	600	4	a.	a.	NOUN
ejpam-6281	600	5	a.	a.	NOUN
ejpam-6281	600	6	elmandouh	elmandouh	PROPN
ejpam-6281	600	7	.	.	PUNCT
ejpam-6281	601	1	new	new	ADJ
ejpam-6281	601	2	integrable	integrable	ADJ
ejpam-6281	601	3	problems	problem	NOUN
ejpam-6281	601	4	in	in	ADP
ejpam-6281	601	5	a	a	DET
ejpam-6281	601	6	rigid	rigid	ADJ
ejpam-6281	601	7	body	body	NOUN
ejpam-6281	601	8	dynamic	dynamic	ADJ
ejpam-6281	601	9	with	with	ADP
ejpam-6281	601	10	cubic	cubic	ADJ
ejpam-6281	601	11	integral	integral	ADJ
ejpam-6281	601	12	in	in	ADP
ejpam-6281	601	13	velocities	velocity	NOUN
ejpam-6281	601	14	.	.	PUNCT
ejpam-6281	602	1	results	result	NOUN
ejpam-6281	602	2	in	in	ADP
ejpam-6281	602	3	physics	physics	NOUN
ejpam-6281	602	4	,	,	PUNCT
ejpam-6281	602	5	8:559–568	8:559–568	NOUN
ejpam-6281	602	6	,	,	PUNCT
ejpam-6281	602	7	2018	2018	NUM
ejpam-6281	602	8	.	.	PUNCT
ejpam-6281	603	1	t.	t.	PROPN
ejpam-6281	603	2	s.	s.	PROPN
ejpam-6281	603	3	amer	amer	PROPN
ejpam-6281	603	4	et	et	PROPN
ejpam-6281	603	5	al	al	PROPN
ejpam-6281	603	6	.	.	PUNCT
ejpam-6281	603	7	/	/	SYM
ejpam-6281	603	8	eur	eur	PROPN
ejpam-6281	603	9	.	.	PUNCT
ejpam-6281	604	1	j.	j.	PROPN
ejpam-6281	604	2	pure	pure	PROPN
ejpam-6281	604	3	appl	appl	PROPN
ejpam-6281	604	4	.	.	PROPN
ejpam-6281	604	5	math	math	PROPN
ejpam-6281	604	6	,	,	PUNCT
ejpam-6281	604	7	18	18	NUM
ejpam-6281	604	8	(	(	PUNCT
ejpam-6281	604	9	3	3	NUM
ejpam-6281	604	10	)	)	PUNCT
ejpam-6281	604	11	(	(	PUNCT
ejpam-6281	604	12	2025	2025	NUM
ejpam-6281	604	13	)	)	PUNCT
ejpam-6281	604	14	,	,	PUNCT
ejpam-6281	604	15	6281	6281	NUM
ejpam-6281	604	16	26	26	NUM
ejpam-6281	604	17	of	of	ADP
ejpam-6281	604	18	35	35	NUM
ejpam-6281	604	19	[	[	X
ejpam-6281	604	20	7	7	NUM
ejpam-6281	604	21	]	]	PUNCT
ejpam-6281	604	22	t.	t.	PROPN
ejpam-6281	604	23	s.	s.	PROPN
ejpam-6281	604	24	amer	amer	PROPN
ejpam-6281	604	25	and	and	CCONJ
ejpam-6281	604	26	w.	w.	PROPN
ejpam-6281	604	27	s.	s.	PROPN
ejpam-6281	604	28	amer	amer	PROPN
ejpam-6281	604	29	.	.	PUNCT
ejpam-6281	605	1	the	the	DET
ejpam-6281	605	2	substantial	substantial	ADJ
ejpam-6281	605	3	condition	condition	NOUN
ejpam-6281	605	4	for	for	ADP
ejpam-6281	605	5	the	the	DET
ejpam-6281	605	6	fourth	fourth	ADJ
ejpam-6281	605	7	first	first	ADJ
ejpam-6281	605	8	integral	integral	ADJ
ejpam-6281	605	9	of	of	ADP
ejpam-6281	605	10	the	the	DET
ejpam-6281	605	11	rigid	rigid	ADJ
ejpam-6281	605	12	body	body	NOUN
ejpam-6281	605	13	problem	problem	NOUN
ejpam-6281	605	14	.	.	PUNCT
ejpam-6281	606	1	mathematics	mathematic	NOUN
ejpam-6281	606	2	and	and	CCONJ
ejpam-6281	606	3	mechanics	mechanic	NOUN
ejpam-6281	606	4	of	of	ADP
ejpam-6281	606	5	solids	solid	NOUN
ejpam-6281	606	6	,	,	PUNCT
ejpam-6281	606	7	23(8):1237–1246	23(8):1237–1246	NUM
ejpam-6281	606	8	,	,	PUNCT
ejpam-6281	606	9	2018	2018	NUM
ejpam-6281	606	10	.	.	PUNCT
ejpam-6281	607	1	[	[	X
ejpam-6281	607	2	8	8	NUM
ejpam-6281	607	3	]	]	PUNCT
ejpam-6281	607	4	s.	s.	PROPN
ejpam-6281	607	5	v.	v.	PROPN
ejpam-6281	607	6	ershkov	ershkov	PROPN
ejpam-6281	607	7	.	.	PUNCT
ejpam-6281	608	1	a	a	DET
ejpam-6281	608	2	riccati	riccati	NOUN
ejpam-6281	608	3	-	-	PUNCT
ejpam-6281	608	4	type	type	NOUN
ejpam-6281	608	5	solution	solution	NOUN
ejpam-6281	608	6	of	of	ADP
ejpam-6281	608	7	euler	euler	NOUN
ejpam-6281	608	8	-	-	PUNCT
ejpam-6281	608	9	poisson	poisson	NOUN
ejpam-6281	608	10	equations	equation	NOUN
ejpam-6281	608	11	of	of	ADP
ejpam-6281	608	12	rigid	rigid	ADJ
ejpam-6281	608	13	body	body	NOUN
ejpam-6281	608	14	rotation	rotation	NOUN
ejpam-6281	608	15	over	over	ADP
ejpam-6281	608	16	the	the	DET
ejpam-6281	608	17	fixed	fix	VERB
ejpam-6281	608	18	point	point	NOUN
ejpam-6281	608	19	.	.	PUNCT
ejpam-6281	609	1	journal	journal	NOUN
ejpam-6281	609	2	of	of	ADP
ejpam-6281	609	3	aerospace	aerospace	PROPN
ejpam-6281	609	4	engineering	engineering	NOUN
ejpam-6281	609	5	,	,	PUNCT
ejpam-6281	609	6	228:2719–2723	228:2719–2723	NOUN
ejpam-6281	609	7	,	,	PUNCT
ejpam-6281	609	8	2017	2017	NUM
ejpam-6281	609	9	.	.	PUNCT
ejpam-6281	610	1	[	[	X
ejpam-6281	610	2	9	9	NUM
ejpam-6281	610	3	]	]	PUNCT
ejpam-6281	610	4	s.	s.	PROPN
ejpam-6281	610	5	v.	v.	PROPN
ejpam-6281	610	6	ershkov	ershkov	PROPN
ejpam-6281	610	7	and	and	CCONJ
ejpam-6281	610	8	d.	d.	PROPN
ejpam-6281	610	9	leshchenko	leshchenko	PROPN
ejpam-6281	610	10	.	.	PUNCT
ejpam-6281	611	1	on	on	ADP
ejpam-6281	611	2	a	a	DET
ejpam-6281	611	3	new	new	ADJ
ejpam-6281	611	4	type	type	NOUN
ejpam-6281	611	5	of	of	ADP
ejpam-6281	611	6	solving	solve	VERB
ejpam-6281	611	7	procedure	procedure	NOUN
ejpam-6281	611	8	for	for	ADP
ejpam-6281	611	9	eulerpoisson	eulerpoisson	NOUN
ejpam-6281	611	10	equations	equation	NOUN
ejpam-6281	611	11	(	(	PUNCT
ejpam-6281	611	12	rigid	rigid	ADJ
ejpam-6281	611	13	body	body	NOUN
ejpam-6281	611	14	rotation	rotation	NOUN
ejpam-6281	611	15	over	over	ADP
ejpam-6281	611	16	the	the	DET
ejpam-6281	611	17	fixed	fix	VERB
ejpam-6281	611	18	point	point	NOUN
ejpam-6281	611	19	)	)	PUNCT
ejpam-6281	611	20	.	.	PUNCT
ejpam-6281	612	1	acta	acta	PROPN
ejpam-6281	612	2	mechanica	mechanica	PROPN
ejpam-6281	612	3	,	,	PUNCT
ejpam-6281	612	4	230:871	230:871	NUM
ejpam-6281	612	5	–	–	PUNCT
ejpam-6281	612	6	883	883	NUM
ejpam-6281	612	7	,	,	PUNCT
ejpam-6281	612	8	2019	2019	NUM
ejpam-6281	612	9	.	.	PUNCT
ejpam-6281	613	1	[	[	X
ejpam-6281	613	2	10	10	NUM
ejpam-6281	613	3	]	]	X
ejpam-6281	613	4	s.	s.	PROPN
ejpam-6281	613	5	v.	v.	PROPN
ejpam-6281	613	6	ershkov	ershkov	PROPN
ejpam-6281	613	7	and	and	CCONJ
ejpam-6281	613	8	d.	d.	PROPN
ejpam-6281	613	9	d.	d.	PROPN
ejpam-6281	613	10	leshchenko	leshchenko	PROPN
ejpam-6281	613	11	.	.	PUNCT
ejpam-6281	614	1	on	on	ADP
ejpam-6281	614	2	a	a	DET
ejpam-6281	614	3	new	new	ADJ
ejpam-6281	614	4	type	type	NOUN
ejpam-6281	614	5	of	of	ADP
ejpam-6281	614	6	solving	solve	VERB
ejpam-6281	614	7	procedure	procedure	NOUN
ejpam-6281	614	8	for	for	ADP
ejpam-6281	614	9	euler	euler	NOUN
ejpam-6281	614	10	-	-	PUNCT
ejpam-6281	614	11	poisson	poisson	NOUN
ejpam-6281	614	12	equations	equation	NOUN
ejpam-6281	614	13	(	(	PUNCT
ejpam-6281	614	14	rigid	rigid	ADJ
ejpam-6281	614	15	body	body	NOUN
ejpam-6281	614	16	rotation	rotation	NOUN
ejpam-6281	614	17	over	over	ADP
ejpam-6281	614	18	the	the	DET
ejpam-6281	614	19	fixed	fix	VERB
ejpam-6281	614	20	point	point	NOUN
ejpam-6281	614	21	)	)	PUNCT
ejpam-6281	614	22	.	.	PUNCT
ejpam-6281	615	1	acta	acta	PROPN
ejpam-6281	615	2	mechanica	mechanica	PROPN
ejpam-6281	615	3	,	,	PUNCT
ejpam-6281	615	4	230(1):871–883	230(1):871–883	NUM
ejpam-6281	615	5	,	,	PUNCT
ejpam-6281	615	6	2019	2019	NUM
ejpam-6281	615	7	.	.	PUNCT
ejpam-6281	616	1	[	[	X
ejpam-6281	616	2	11	11	NUM
ejpam-6281	616	3	]	]	PUNCT
ejpam-6281	616	4	a.	a.	NOUN
ejpam-6281	616	5	a.	a.	NOUN
ejpam-6281	616	6	elmandouh	elmandouh	PROPN
ejpam-6281	616	7	.	.	PUNCT
ejpam-6281	617	1	on	on	ADP
ejpam-6281	617	2	the	the	DET
ejpam-6281	617	3	stability	stability	NOUN
ejpam-6281	617	4	of	of	ADP
ejpam-6281	617	5	the	the	DET
ejpam-6281	617	6	permanent	permanent	ADJ
ejpam-6281	617	7	rotations	rotation	NOUN
ejpam-6281	617	8	of	of	ADP
ejpam-6281	617	9	a	a	DET
ejpam-6281	617	10	charged	charge	VERB
ejpam-6281	617	11	rigid	rigid	ADJ
ejpam-6281	617	12	body	body	NOUN
ejpam-6281	617	13	-	-	PUNCT
ejpam-6281	617	14	gyrostat	gyrostat	NOUN
ejpam-6281	617	15	.	.	PUNCT
ejpam-6281	618	1	acta	acta	PROPN
ejpam-6281	618	2	mechanica	mechanica	PROPN
ejpam-6281	618	3	,	,	PUNCT
ejpam-6281	618	4	228:3947–3959	228:3947–3959	NOUN
ejpam-6281	618	5	,	,	PUNCT
ejpam-6281	618	6	2017	2017	NUM
ejpam-6281	618	7	.	.	PUNCT
ejpam-6281	619	1	[	[	X
ejpam-6281	619	2	12	12	NUM
ejpam-6281	619	3	]	]	PUNCT
ejpam-6281	619	4	t.	t.	PROPN
ejpam-6281	619	5	s.	s.	PROPN
ejpam-6281	619	6	amer	amer	PROPN
ejpam-6281	619	7	,	,	PUNCT
ejpam-6281	619	8	i.	i.	PROPN
ejpam-6281	619	9	m.	m.	PROPN
ejpam-6281	619	10	abady	abady	PROPN
ejpam-6281	619	11	,	,	PUNCT
ejpam-6281	619	12	h.	h.	PROPN
ejpam-6281	619	13	a.	a.	NOUN
ejpam-6281	619	14	abdo	abdo	PROPN
ejpam-6281	619	15	,	,	PUNCT
ejpam-6281	619	16	and	and	CCONJ
ejpam-6281	619	17	h.	h.	PROPN
ejpam-6281	619	18	f.	f.	PROPN
ejpam-6281	619	19	el	el	PROPN
ejpam-6281	619	20	-	-	PUNCT
ejpam-6281	619	21	kafly	kafly	NOUN
ejpam-6281	619	22	.	.	PUNCT
ejpam-6281	620	1	the	the	DET
ejpam-6281	620	2	asymptotic	asymptotic	ADJ
ejpam-6281	620	3	solutions	solution	NOUN
ejpam-6281	620	4	for	for	ADP
ejpam-6281	620	5	the	the	DET
ejpam-6281	620	6	motion	motion	NOUN
ejpam-6281	620	7	of	of	ADP
ejpam-6281	620	8	a	a	DET
ejpam-6281	620	9	charged	charge	VERB
ejpam-6281	620	10	symmetric	symmetric	ADJ
ejpam-6281	620	11	gyrostat	gyrostat	NOUN
ejpam-6281	620	12	in	in	ADP
ejpam-6281	620	13	the	the	DET
ejpam-6281	620	14	irrational	irrational	ADJ
ejpam-6281	620	15	frequency	frequency	NOUN
ejpam-6281	620	16	case	case	NOUN
ejpam-6281	620	17	.	.	PUNCT
ejpam-6281	621	1	scientific	scientific	ADJ
ejpam-6281	621	2	reports	report	NOUN
ejpam-6281	621	3	,	,	PUNCT
ejpam-6281	621	4	14:16662	14:16662	NUM
ejpam-6281	621	5	,	,	PUNCT
ejpam-6281	621	6	2024	2024	NUM
ejpam-6281	621	7	.	.	PUNCT
ejpam-6281	622	1	[	[	X
ejpam-6281	622	2	13	13	NUM
ejpam-6281	622	3	]	]	PUNCT
ejpam-6281	622	4	t.	t.	PROPN
ejpam-6281	622	5	s.	s.	PROPN
ejpam-6281	622	6	amer	amer	PROPN
ejpam-6281	622	7	,	,	PUNCT
ejpam-6281	622	8	h.	h.	PROPN
ejpam-6281	622	9	f.	f.	PROPN
ejpam-6281	622	10	el	el	PROPN
ejpam-6281	622	11	-	-	PUNCT
ejpam-6281	622	12	kafly	kafly	PROPN
ejpam-6281	622	13	,	,	PUNCT
ejpam-6281	622	14	a.	a.	NOUN
ejpam-6281	622	15	h.	h.	PROPN
ejpam-6281	622	16	elneklawy	elneklawy	PROPN
ejpam-6281	622	17	,	,	PUNCT
ejpam-6281	622	18	and	and	CCONJ
ejpam-6281	622	19	a.	a.	NOUN
ejpam-6281	622	20	a.	a.	PROPN
ejpam-6281	622	21	galal	galal	PROPN
ejpam-6281	622	22	.	.	PUNCT
ejpam-6281	623	1	analyzing	analyze	VERB
ejpam-6281	623	2	the	the	DET
ejpam-6281	623	3	spatial	spatial	ADJ
ejpam-6281	623	4	motion	motion	NOUN
ejpam-6281	623	5	of	of	ADP
ejpam-6281	623	6	a	a	DET
ejpam-6281	623	7	rigid	rigid	ADJ
ejpam-6281	623	8	body	body	NOUN
ejpam-6281	623	9	subjected	subject	VERB
ejpam-6281	623	10	to	to	ADP
ejpam-6281	623	11	constant	constant	ADJ
ejpam-6281	623	12	body	body	NOUN
ejpam-6281	623	13	-	-	PUNCT
ejpam-6281	623	14	fixed	fix	VERB
ejpam-6281	623	15	torques	torque	NOUN
ejpam-6281	623	16	and	and	CCONJ
ejpam-6281	623	17	gyrostatic	gyrostatic	ADJ
ejpam-6281	623	18	moment	moment	NOUN
ejpam-6281	623	19	.	.	PUNCT
ejpam-6281	624	1	scientific	scientific	ADJ
ejpam-6281	624	2	reports	report	NOUN
ejpam-6281	624	3	,	,	PUNCT
ejpam-6281	624	4	14(1):5390	14(1):5390	NUM
ejpam-6281	624	5	,	,	PUNCT
ejpam-6281	624	6	2024	2024	NUM
ejpam-6281	624	7	.	.	PUNCT
ejpam-6281	625	1	[	[	X
ejpam-6281	625	2	14	14	NUM
ejpam-6281	625	3	]	]	PUNCT
ejpam-6281	625	4	t.	t.	PROPN
ejpam-6281	625	5	s.	s.	PROPN
ejpam-6281	625	6	amer	amer	PROPN
ejpam-6281	625	7	and	and	CCONJ
ejpam-6281	625	8	i.	i.	PROPN
ejpam-6281	625	9	m.	m.	PROPN
ejpam-6281	625	10	abady	abady	PROPN
ejpam-6281	625	11	.	.	PUNCT
ejpam-6281	626	1	on	on	ADP
ejpam-6281	626	2	the	the	DET
ejpam-6281	626	3	motion	motion	NOUN
ejpam-6281	626	4	of	of	ADP
ejpam-6281	626	5	a	a	DET
ejpam-6281	626	6	gyro	gyro	NOUN
ejpam-6281	626	7	in	in	ADP
ejpam-6281	626	8	the	the	DET
ejpam-6281	626	9	presence	presence	NOUN
ejpam-6281	626	10	of	of	ADP
ejpam-6281	626	11	a	a	DET
ejpam-6281	626	12	newtonian	newtonian	ADJ
ejpam-6281	626	13	force	force	NOUN
ejpam-6281	626	14	field	field	NOUN
ejpam-6281	626	15	and	and	CCONJ
ejpam-6281	626	16	applied	apply	VERB
ejpam-6281	626	17	moments	moment	NOUN
ejpam-6281	626	18	.	.	PUNCT
ejpam-6281	627	1	mathematics	mathematic	NOUN
ejpam-6281	627	2	and	and	CCONJ
ejpam-6281	627	3	mechanics	mechanic	NOUN
ejpam-6281	627	4	of	of	ADP
ejpam-6281	627	5	solids	solid	NOUN
ejpam-6281	627	6	,	,	PUNCT
ejpam-6281	627	7	23(9):1263	23(9):1263	NUM
ejpam-6281	627	8	–	–	PUNCT
ejpam-6281	627	9	1273	1273	NUM
ejpam-6281	627	10	,	,	PUNCT
ejpam-6281	627	11	2018	2018	NUM
ejpam-6281	627	12	.	.	PUNCT
ejpam-6281	628	1	[	[	X
ejpam-6281	628	2	15	15	X
ejpam-6281	628	3	]	]	PUNCT
ejpam-6281	628	4	t.	t.	PROPN
ejpam-6281	628	5	s.	s.	PROPN
ejpam-6281	628	6	amer	amer	PROPN
ejpam-6281	628	7	.	.	PUNCT
ejpam-6281	629	1	on	on	ADP
ejpam-6281	629	2	the	the	DET
ejpam-6281	629	3	rotational	rotational	ADJ
ejpam-6281	629	4	motion	motion	NOUN
ejpam-6281	629	5	of	of	ADP
ejpam-6281	629	6	a	a	DET
ejpam-6281	629	7	gyrostat	gyrostat	NOUN
ejpam-6281	629	8	with	with	ADP
ejpam-6281	629	9	mass	mass	ADJ
ejpam-6281	629	10	distribution	distribution	NOUN
ejpam-6281	629	11	.	.	PUNCT
ejpam-6281	630	1	nonlinear	nonlinear	ADJ
ejpam-6281	630	2	dynamics	dynamic	NOUN
ejpam-6281	630	3	,	,	PUNCT
ejpam-6281	630	4	54:189–198	54:189–198	NUM
ejpam-6281	630	5	,	,	PUNCT
ejpam-6281	630	6	2008	2008	NUM
ejpam-6281	630	7	.	.	PUNCT
ejpam-6281	631	1	[	[	X
ejpam-6281	631	2	16	16	NUM
ejpam-6281	631	3	]	]	PUNCT
ejpam-6281	631	4	t.	t.	PROPN
ejpam-6281	631	5	s.	s.	PROPN
ejpam-6281	631	6	amer	amer	PROPN
ejpam-6281	631	7	.	.	PUNCT
ejpam-6281	632	1	on	on	ADP
ejpam-6281	632	2	the	the	DET
ejpam-6281	632	3	motion	motion	NOUN
ejpam-6281	632	4	of	of	ADP
ejpam-6281	632	5	a	a	DET
ejpam-6281	632	6	gyrostat	gyrostat	NOUN
ejpam-6281	632	7	similar	similar	ADJ
ejpam-6281	632	8	to	to	ADP
ejpam-6281	632	9	lagrange	lagrange	PROPN
ejpam-6281	632	10	’s	’s	PART
ejpam-6281	632	11	gyroscope	gyroscope	NOUN
ejpam-6281	632	12	under	under	ADP
ejpam-6281	632	13	the	the	DET
ejpam-6281	632	14	influence	influence	NOUN
ejpam-6281	632	15	of	of	ADP
ejpam-6281	632	16	a	a	DET
ejpam-6281	632	17	gyrostatic	gyrostatic	ADJ
ejpam-6281	632	18	moment	moment	NOUN
ejpam-6281	632	19	vector	vector	NOUN
ejpam-6281	632	20	.	.	PUNCT
ejpam-6281	633	1	nonlinear	nonlinear	ADJ
ejpam-6281	633	2	dynamics	dynamic	NOUN
ejpam-6281	633	3	,	,	PUNCT
ejpam-6281	633	4	54:249–262	54:249–262	NUM
ejpam-6281	633	5	,	,	PUNCT
ejpam-6281	633	6	2008	2008	NUM
ejpam-6281	633	7	.	.	PUNCT
ejpam-6281	634	1	[	[	X
ejpam-6281	634	2	17	17	NUM
ejpam-6281	634	3	]	]	PUNCT
ejpam-6281	634	4	m.	m.	NOUN
ejpam-6281	634	5	a.	a.	NOUN
ejpam-6281	634	6	farag	farag	PROPN
ejpam-6281	634	7	.	.	PUNCT
ejpam-6281	635	1	analysis	analysis	NOUN
ejpam-6281	635	2	of	of	ADP
ejpam-6281	635	3	the	the	DET
ejpam-6281	635	4	rotational	rotational	ADJ
ejpam-6281	635	5	motion	motion	NOUN
ejpam-6281	635	6	of	of	ADP
ejpam-6281	635	7	a	a	DET
ejpam-6281	635	8	solid	solid	ADJ
ejpam-6281	635	9	body	body	NOUN
ejpam-6281	635	10	in	in	ADP
ejpam-6281	635	11	the	the	DET
ejpam-6281	635	12	presence	presence	NOUN
ejpam-6281	635	13	of	of	ADP
ejpam-6281	635	14	external	external	ADJ
ejpam-6281	635	15	moments	moment	NOUN
ejpam-6281	635	16	.	.	PUNCT
ejpam-6281	636	1	journal	journal	NOUN
ejpam-6281	636	2	of	of	ADP
ejpam-6281	636	3	vibration	vibration	NOUN
ejpam-6281	636	4	engineering	engineering	NOUN
ejpam-6281	636	5	&	&	CCONJ
ejpam-6281	636	6	technologies	technology	NOUN
ejpam-6281	636	7	,	,	PUNCT
ejpam-6281	636	8	12(1):757–771	12(1):757–771	NUM
ejpam-6281	636	9	,	,	PUNCT
ejpam-6281	636	10	2023	2023	NUM
ejpam-6281	636	11	.	.	PUNCT
ejpam-6281	637	1	[	[	X
ejpam-6281	637	2	18	18	NUM
ejpam-6281	637	3	]	]	PUNCT
ejpam-6281	637	4	a.	a.	NOUN
ejpam-6281	637	5	i.	i.	PROPN
ejpam-6281	637	6	ismail	ismail	PROPN
ejpam-6281	637	7	.	.	PUNCT
ejpam-6281	638	1	on	on	ADP
ejpam-6281	638	2	the	the	DET
ejpam-6281	638	3	application	application	NOUN
ejpam-6281	638	4	of	of	ADP
ejpam-6281	638	5	krylov	krylov	NOUN
ejpam-6281	638	6	-	-	PUNCT
ejpam-6281	638	7	bogoliubov	bogoliubov	NOUN
ejpam-6281	638	8	-	-	PUNCT
ejpam-6281	638	9	mitropolski	mitropolski	NOUN
ejpam-6281	638	10	technique	technique	NOUN
ejpam-6281	638	11	for	for	ADP
ejpam-6281	638	12	treating	treat	VERB
ejpam-6281	638	13	the	the	DET
ejpam-6281	638	14	motion	motion	NOUN
ejpam-6281	638	15	about	about	ADP
ejpam-6281	638	16	a	a	DET
ejpam-6281	638	17	fixed	fix	VERB
ejpam-6281	638	18	point	point	NOUN
ejpam-6281	638	19	of	of	ADP
ejpam-6281	638	20	a	a	DET
ejpam-6281	638	21	fast	fast	ADJ
ejpam-6281	638	22	spinning	spinning	NOUN
ejpam-6281	638	23	heavy	heavy	ADJ
ejpam-6281	638	24	solid	solid	ADJ
ejpam-6281	638	25	.	.	PUNCT
ejpam-6281	639	1	zeitschrift	zeitschrift	NOUN
ejpam-6281	639	2	für	für	ADV
ejpam-6281	639	3	flugwissenschaften	flugwissenschaften	VERB
ejpam-6281	639	4	und	und	NOUN
ejpam-6281	639	5	weltraumforschung	weltraumforschung	PROPN
ejpam-6281	639	6	(	(	PUNCT
ejpam-6281	639	7	zfw	zfw	PROPN
ejpam-6281	639	8	)	)	PUNCT
ejpam-6281	639	9	,	,	PUNCT
ejpam-6281	639	10	20(4):205–208	20(4):205–208	NOUN
ejpam-6281	639	11	,	,	PUNCT
ejpam-6281	639	12	1996	1996	NUM
ejpam-6281	639	13	.	.	PUNCT
ejpam-6281	640	1	[	[	X
ejpam-6281	640	2	19	19	NUM
ejpam-6281	640	3	]	]	PUNCT
ejpam-6281	640	4	a.	a.	NOUN
ejpam-6281	640	5	i.	i.	PROPN
ejpam-6281	640	6	ismail	ismail	PROPN
ejpam-6281	640	7	.	.	PUNCT
ejpam-6281	641	1	treating	treat	VERB
ejpam-6281	641	2	a	a	DET
ejpam-6281	641	3	singular	singular	ADJ
ejpam-6281	641	4	case	case	NOUN
ejpam-6281	641	5	for	for	ADP
ejpam-6281	641	6	a	a	DET
ejpam-6281	641	7	motion	motion	NOUN
ejpam-6281	641	8	of	of	ADP
ejpam-6281	641	9	rigid	rigid	ADJ
ejpam-6281	641	10	body	body	NOUN
ejpam-6281	641	11	in	in	ADP
ejpam-6281	641	12	a	a	DET
ejpam-6281	641	13	newtonian	newtonian	ADJ
ejpam-6281	641	14	field	field	NOUN
ejpam-6281	641	15	of	of	ADP
ejpam-6281	641	16	force	force	NOUN
ejpam-6281	641	17	.	.	PUNCT
ejpam-6281	642	1	archive	archive	NOUN
ejpam-6281	642	2	of	of	ADP
ejpam-6281	642	3	mechanics	mechanic	NOUN
ejpam-6281	642	4	,	,	PUNCT
ejpam-6281	642	5	49(6):1091–1101	49(6):1091–1101	NUM
ejpam-6281	642	6	,	,	PUNCT
ejpam-6281	642	7	1997	1997	NUM
ejpam-6281	642	8	.	.	PUNCT
ejpam-6281	643	1	[	[	X
ejpam-6281	643	2	20	20	NUM
ejpam-6281	643	3	]	]	X
ejpam-6281	643	4	d.	d.	PROPN
ejpam-6281	643	5	d.	d.	PROPN
ejpam-6281	643	6	leshchenko	leshchenko	PROPN
ejpam-6281	643	7	and	and	CCONJ
ejpam-6281	643	8	a.	a.	PROPN
ejpam-6281	643	9	s.	s.	PROPN
ejpam-6281	643	10	shamaev	shamaev	PROPN
ejpam-6281	643	11	.	.	PROPN
ejpam-6281	643	12	perturbed	perturb	VERB
ejpam-6281	643	13	rotational	rotational	ADJ
ejpam-6281	643	14	motions	motion	NOUN
ejpam-6281	643	15	of	of	ADP
ejpam-6281	643	16	a	a	DET
ejpam-6281	643	17	rigid	rigid	ADJ
ejpam-6281	643	18	body	body	NOUN
ejpam-6281	643	19	close	close	ADJ
ejpam-6281	643	20	to	to	ADP
ejpam-6281	643	21	regular	regular	ADJ
ejpam-6281	643	22	precession	precession	NOUN
ejpam-6281	643	23	in	in	ADP
ejpam-6281	643	24	the	the	DET
ejpam-6281	643	25	lagrange	lagrange	NOUN
ejpam-6281	643	26	case	case	NOUN
ejpam-6281	643	27	.	.	PUNCT
ejpam-6281	644	1	izvestiya	izvestiya	PROPN
ejpam-6281	644	2	akademii	akademii	PROPN
ejpam-6281	644	3	nauk	nauk	PROPN
ejpam-6281	644	4	sssr	sssr	PROPN
ejpam-6281	644	5	,	,	PUNCT
ejpam-6281	644	6	mekhanika	mekhanika	NOUN
ejpam-6281	644	7	tverdogo	tverdogo	PROPN
ejpam-6281	644	8	tela	tela	PROPN
ejpam-6281	644	9	,	,	PUNCT
ejpam-6281	644	10	22(6):8–17	22(6):8–17	NUM
ejpam-6281	644	11	,	,	PUNCT
ejpam-6281	644	12	1987	1987	NUM
ejpam-6281	644	13	.	.	PUNCT
ejpam-6281	645	1	[	[	X
ejpam-6281	645	2	21	21	NUM
ejpam-6281	645	3	]	]	X
ejpam-6281	645	4	d.	d.	PROPN
ejpam-6281	645	5	d.	d.	PROPN
ejpam-6281	645	6	leshchenko	leshchenko	PROPN
ejpam-6281	645	7	and	and	CCONJ
ejpam-6281	645	8	s.	s.	PROPN
ejpam-6281	645	9	n.	n.	PROPN
ejpam-6281	645	10	sallam	sallam	PROPN
ejpam-6281	645	11	.	.	PUNCT
ejpam-6281	645	12	perturbed	perturb	VERB
ejpam-6281	645	13	rotational	rotational	ADJ
ejpam-6281	645	14	motions	motion	NOUN
ejpam-6281	645	15	of	of	ADP
ejpam-6281	645	16	a	a	DET
ejpam-6281	645	17	rigid	rigid	ADJ
ejpam-6281	645	18	body	body	NOUN
ejpam-6281	645	19	similar	similar	ADJ
ejpam-6281	645	20	to	to	ADP
ejpam-6281	645	21	regular	regular	ADJ
ejpam-6281	645	22	precession	precession	NOUN
ejpam-6281	645	23	.	.	PUNCT
ejpam-6281	646	1	journal	journal	NOUN
ejpam-6281	646	2	of	of	ADP
ejpam-6281	646	3	applied	apply	VERB
ejpam-6281	646	4	mathematics	mathematic	NOUN
ejpam-6281	646	5	and	and	CCONJ
ejpam-6281	646	6	mechanics	mechanic	NOUN
ejpam-6281	646	7	,	,	PUNCT
ejpam-6281	646	8	54(2):183	54(2):183	NUM
ejpam-6281	646	9	–	–	PUNCT
ejpam-6281	646	10	190	190	NUM
ejpam-6281	646	11	,	,	PUNCT
ejpam-6281	646	12	1990	1990	NUM
ejpam-6281	646	13	.	.	PUNCT
ejpam-6281	647	1	[	[	X
ejpam-6281	647	2	22	22	NUM
ejpam-6281	647	3	]	]	PUNCT
ejpam-6281	647	4	t.	t.	PROPN
ejpam-6281	647	5	s.	s.	PROPN
ejpam-6281	647	6	amer	amer	PROPN
ejpam-6281	647	7	.	.	PUNCT
ejpam-6281	648	1	on	on	ADP
ejpam-6281	648	2	the	the	DET
ejpam-6281	648	3	rotational	rotational	ADJ
ejpam-6281	648	4	motion	motion	NOUN
ejpam-6281	648	5	of	of	ADP
ejpam-6281	648	6	a	a	DET
ejpam-6281	648	7	gyrostat	gyrostat	NOUN
ejpam-6281	648	8	with	with	ADP
ejpam-6281	648	9	mass	mass	ADJ
ejpam-6281	648	10	distribution	distribution	NOUN
ejpam-6281	648	11	.	.	PUNCT
ejpam-6281	649	1	nonlinear	nonlinear	ADJ
ejpam-6281	649	2	dynamics	dynamic	NOUN
ejpam-6281	649	3	,	,	PUNCT
ejpam-6281	649	4	54:189–198	54:189–198	NUM
ejpam-6281	649	5	,	,	PUNCT
ejpam-6281	649	6	2008	2008	NUM
ejpam-6281	649	7	.	.	PUNCT
ejpam-6281	650	1	[	[	X
ejpam-6281	650	2	23	23	NUM
ejpam-6281	650	3	]	]	PUNCT
ejpam-6281	650	4	t.	t.	PROPN
ejpam-6281	650	5	s.	s.	PROPN
ejpam-6281	650	6	amer	amer	PROPN
ejpam-6281	650	7	and	and	CCONJ
ejpam-6281	650	8	i.	i.	PROPN
ejpam-6281	650	9	m.	m.	PROPN
ejpam-6281	650	10	abady	abady	PROPN
ejpam-6281	650	11	.	.	PUNCT
ejpam-6281	651	1	on	on	ADP
ejpam-6281	651	2	the	the	DET
ejpam-6281	651	3	motion	motion	NOUN
ejpam-6281	651	4	of	of	ADP
ejpam-6281	651	5	a	a	DET
ejpam-6281	651	6	gyro	gyro	NOUN
ejpam-6281	651	7	in	in	ADP
ejpam-6281	651	8	the	the	DET
ejpam-6281	651	9	presence	presence	NOUN
ejpam-6281	651	10	of	of	ADP
ejpam-6281	651	11	a	a	DET
ejpam-6281	651	12	newtonian	newtonian	ADJ
ejpam-6281	651	13	t.	t.	PROPN
ejpam-6281	651	14	s.	s.	PROPN
ejpam-6281	651	15	amer	amer	PROPN
ejpam-6281	651	16	et	et	PROPN
ejpam-6281	651	17	al	al	PROPN
ejpam-6281	651	18	.	.	PUNCT
ejpam-6281	651	19	/	/	SYM
ejpam-6281	651	20	eur	eur	PROPN
ejpam-6281	651	21	.	.	PUNCT
ejpam-6281	652	1	j.	j.	PROPN
ejpam-6281	652	2	pure	pure	PROPN
ejpam-6281	652	3	appl	appl	PROPN
ejpam-6281	652	4	.	.	PROPN
ejpam-6281	652	5	math	math	PROPN
ejpam-6281	652	6	,	,	PUNCT
ejpam-6281	652	7	18	18	NUM
ejpam-6281	652	8	(	(	PUNCT
ejpam-6281	652	9	3	3	NUM
ejpam-6281	652	10	)	)	PUNCT
ejpam-6281	652	11	(	(	PUNCT
ejpam-6281	652	12	2025	2025	NUM
ejpam-6281	652	13	)	)	PUNCT
ejpam-6281	652	14	,	,	PUNCT
ejpam-6281	652	15	6281	6281	NUM
ejpam-6281	652	16	27	27	NUM
ejpam-6281	652	17	of	of	ADP
ejpam-6281	652	18	35	35	NUM
ejpam-6281	652	19	force	force	NOUN
ejpam-6281	652	20	field	field	NOUN
ejpam-6281	652	21	and	and	CCONJ
ejpam-6281	652	22	applied	apply	VERB
ejpam-6281	652	23	moments	moment	NOUN
ejpam-6281	652	24	.	.	PUNCT
ejpam-6281	653	1	mathematics	mathematic	NOUN
ejpam-6281	653	2	and	and	CCONJ
ejpam-6281	653	3	mechanics	mechanic	NOUN
ejpam-6281	653	4	of	of	ADP
ejpam-6281	653	5	solids	solid	NOUN
ejpam-6281	653	6	,	,	PUNCT
ejpam-6281	653	7	23(9):1263	23(9):1263	NUM
ejpam-6281	653	8	–	–	PUNCT
ejpam-6281	653	9	1273	1273	NUM
ejpam-6281	653	10	,	,	PUNCT
ejpam-6281	653	11	2018	2018	NUM
ejpam-6281	653	12	.	.	PUNCT
ejpam-6281	654	1	[	[	X
ejpam-6281	654	2	24	24	NUM
ejpam-6281	654	3	]	]	PUNCT
ejpam-6281	654	4	a.	a.	NOUN
ejpam-6281	654	5	i.	i.	PROPN
ejpam-6281	654	6	ismail	ismail	PROPN
ejpam-6281	654	7	,	,	PUNCT
ejpam-6281	654	8	t.	t.	PROPN
ejpam-6281	654	9	s.	s.	PROPN
ejpam-6281	654	10	amer	amer	PROPN
ejpam-6281	654	11	,	,	PUNCT
ejpam-6281	654	12	and	and	CCONJ
ejpam-6281	654	13	s.	s.	PROPN
ejpam-6281	654	14	a.	a.	PROPN
ejpam-6281	654	15	el	el	PROPN
ejpam-6281	654	16	banna	banna	PROPN
ejpam-6281	654	17	.	.	PUNCT
ejpam-6281	654	18	electromagnetic	electromagnetic	ADJ
ejpam-6281	654	19	gyroscopic	gyroscopic	NOUN
ejpam-6281	654	20	motion	motion	NOUN
ejpam-6281	654	21	.	.	PUNCT
ejpam-6281	655	1	journal	journal	NOUN
ejpam-6281	655	2	of	of	ADP
ejpam-6281	655	3	applied	apply	VERB
ejpam-6281	655	4	mathematics	mathematic	NOUN
ejpam-6281	655	5	,	,	PUNCT
ejpam-6281	655	6	2012	2012	NUM
ejpam-6281	655	7	.	.	PUNCT
ejpam-6281	656	1	[	[	X
ejpam-6281	656	2	25	25	NUM
ejpam-6281	656	3	]	]	PUNCT
ejpam-6281	656	4	t.	t.	PROPN
ejpam-6281	656	5	s.	s.	PROPN
ejpam-6281	656	6	amer	amer	PROPN
ejpam-6281	656	7	.	.	PUNCT
ejpam-6281	657	1	the	the	DET
ejpam-6281	657	2	rotational	rotational	ADJ
ejpam-6281	657	3	motion	motion	NOUN
ejpam-6281	657	4	of	of	ADP
ejpam-6281	657	5	the	the	DET
ejpam-6281	657	6	electromagnetic	electromagnetic	ADJ
ejpam-6281	657	7	symmetric	symmetric	ADJ
ejpam-6281	657	8	rigid	rigid	ADJ
ejpam-6281	657	9	body	body	NOUN
ejpam-6281	657	10	.	.	PUNCT
ejpam-6281	658	1	applied	apply	VERB
ejpam-6281	658	2	mathematics	mathematic	NOUN
ejpam-6281	658	3	and	and	CCONJ
ejpam-6281	658	4	information	information	NOUN
ejpam-6281	658	5	sciences	science	NOUN
ejpam-6281	658	6	,	,	PUNCT
ejpam-6281	658	7	10(4):1453–1464	10(4):1453–1464	NUM
ejpam-6281	658	8	,	,	PUNCT
ejpam-6281	658	9	2016	2016	NUM
ejpam-6281	658	10	.	.	PUNCT
ejpam-6281	659	1	[	[	X
ejpam-6281	659	2	26	26	NUM
ejpam-6281	659	3	]	]	PUNCT
ejpam-6281	659	4	v.	v.	CCONJ
ejpam-6281	659	5	s.	s.	PROPN
ejpam-6281	659	6	elfimov	elfimov	PROPN
ejpam-6281	659	7	.	.	PUNCT
ejpam-6281	660	1	existence	existence	NOUN
ejpam-6281	660	2	of	of	ADP
ejpam-6281	660	3	periodic	periodic	ADJ
ejpam-6281	660	4	solutions	solution	NOUN
ejpam-6281	660	5	of	of	ADP
ejpam-6281	660	6	equations	equation	NOUN
ejpam-6281	660	7	of	of	ADP
ejpam-6281	660	8	motion	motion	NOUN
ejpam-6281	660	9	of	of	ADP
ejpam-6281	660	10	a	a	DET
ejpam-6281	660	11	solid	solid	ADJ
ejpam-6281	660	12	body	body	NOUN
ejpam-6281	660	13	similar	similar	ADJ
ejpam-6281	660	14	to	to	ADP
ejpam-6281	660	15	the	the	DET
ejpam-6281	660	16	lagrange	lagrange	PROPN
ejpam-6281	660	17	gyroscope	gyroscope	PROPN
ejpam-6281	660	18	.	.	PUNCT
ejpam-6281	661	1	journal	journal	PROPN
ejpam-6281	661	2	of	of	ADP
ejpam-6281	661	3	applied	apply	VERB
ejpam-6281	661	4	mathematics	mathematic	NOUN
ejpam-6281	661	5	and	and	CCONJ
ejpam-6281	661	6	mechanics	mechanic	NOUN
ejpam-6281	661	7	,	,	PUNCT
ejpam-6281	661	8	42(2):251–258	42(2):251–258	PROPN
ejpam-6281	661	9	,	,	PUNCT
ejpam-6281	661	10	1978	1978	NUM
ejpam-6281	661	11	.	.	PUNCT
ejpam-6281	662	1	[	[	X
ejpam-6281	662	2	27	27	NUM
ejpam-6281	662	3	]	]	PUNCT
ejpam-6281	662	4	a.	a.	PROPN
ejpam-6281	662	5	i.	i.	PROPN
ejpam-6281	662	6	ismail	ismail	PROPN
ejpam-6281	662	7	.	.	PUNCT
ejpam-6281	663	1	applying	apply	VERB
ejpam-6281	663	2	the	the	DET
ejpam-6281	663	3	large	large	ADJ
ejpam-6281	663	4	parameter	parameter	NOUN
ejpam-6281	663	5	technique	technique	NOUN
ejpam-6281	663	6	for	for	ADP
ejpam-6281	663	7	solving	solve	VERB
ejpam-6281	663	8	a	a	DET
ejpam-6281	663	9	slow	slow	ADJ
ejpam-6281	663	10	rotary	rotary	NOUN
ejpam-6281	663	11	motion	motion	NOUN
ejpam-6281	663	12	of	of	ADP
ejpam-6281	663	13	a	a	DET
ejpam-6281	663	14	disc	disc	NOUN
ejpam-6281	663	15	about	about	ADP
ejpam-6281	663	16	a	a	DET
ejpam-6281	663	17	fixed	fix	VERB
ejpam-6281	663	18	point	point	NOUN
ejpam-6281	663	19	.	.	PUNCT
ejpam-6281	664	1	international	international	ADJ
ejpam-6281	664	2	journal	journal	PROPN
ejpam-6281	664	3	of	of	ADP
ejpam-6281	664	4	aerospace	aerospace	PROPN
ejpam-6281	664	5	engineering	engineering	NOUN
ejpam-6281	664	6	,	,	PUNCT
ejpam-6281	664	7	2020:7	2020:7	NUM
ejpam-6281	664	8	,	,	PUNCT
ejpam-6281	664	9	2020	2020	NUM
ejpam-6281	664	10	.	.	PUNCT
ejpam-6281	665	1	[	[	X
ejpam-6281	665	2	28	28	NUM
ejpam-6281	665	3	]	]	X
ejpam-6281	665	4	a.	a.	PROPN
ejpam-6281	665	5	i.	i.	PROPN
ejpam-6281	665	6	ismail	ismail	PROPN
ejpam-6281	665	7	.	.	PUNCT
ejpam-6281	666	1	solving	solve	VERB
ejpam-6281	666	2	a	a	DET
ejpam-6281	666	3	problem	problem	NOUN
ejpam-6281	666	4	of	of	ADP
ejpam-6281	666	5	rotary	rotary	ADJ
ejpam-6281	666	6	motion	motion	NOUN
ejpam-6281	666	7	for	for	ADP
ejpam-6281	666	8	a	a	DET
ejpam-6281	666	9	heavy	heavy	ADJ
ejpam-6281	666	10	solid	solid	ADJ
ejpam-6281	666	11	using	use	VERB
ejpam-6281	666	12	the	the	DET
ejpam-6281	666	13	large	large	ADJ
ejpam-6281	666	14	parameter	parameter	NOUN
ejpam-6281	666	15	method	method	NOUN
ejpam-6281	666	16	.	.	PUNCT
ejpam-6281	667	1	advances	advance	NOUN
ejpam-6281	667	2	in	in	ADP
ejpam-6281	667	3	astronomy	astronomy	NOUN
ejpam-6281	667	4	,	,	PUNCT
ejpam-6281	667	5	2020:7	2020:7	NUM
ejpam-6281	667	6	,	,	PUNCT
ejpam-6281	667	7	2020	2020	NUM
ejpam-6281	667	8	.	.	PUNCT
ejpam-6281	668	1	[	[	X
ejpam-6281	668	2	29	29	NUM
ejpam-6281	668	3	]	]	PUNCT
ejpam-6281	668	4	e.	e.	PROPN
ejpam-6281	668	5	t.	t.	PROPN
ejpam-6281	668	6	whittaker	whittaker	PROPN
ejpam-6281	668	7	.	.	PUNCT
ejpam-6281	669	1	a	a	DET
ejpam-6281	669	2	treatise	treatise	NOUN
ejpam-6281	669	3	on	on	ADP
ejpam-6281	669	4	the	the	DET
ejpam-6281	669	5	analytical	analytical	ADJ
ejpam-6281	669	6	dynamics	dynamic	NOUN
ejpam-6281	669	7	of	of	ADP
ejpam-6281	669	8	particles	particle	NOUN
ejpam-6281	669	9	and	and	CCONJ
ejpam-6281	669	10	rigid	rigid	ADJ
ejpam-6281	669	11	bodies	body	NOUN
ejpam-6281	669	12	:	:	PUNCT
ejpam-6281	669	13	with	with	ADP
ejpam-6281	669	14	an	an	DET
ejpam-6281	669	15	introduction	introduction	NOUN
ejpam-6281	669	16	to	to	ADP
ejpam-6281	669	17	the	the	DET
ejpam-6281	669	18	problem	problem	NOUN
ejpam-6281	669	19	of	of	ADP
ejpam-6281	669	20	three	three	NUM
ejpam-6281	669	21	bodies	body	NOUN
ejpam-6281	669	22	.	.	PUNCT
ejpam-6281	670	1	cambridge	cambridge	PROPN
ejpam-6281	670	2	university	university	PROPN
ejpam-6281	670	3	press	press	NOUN
ejpam-6281	670	4	,	,	PUNCT
ejpam-6281	670	5	1988	1988	NUM
ejpam-6281	670	6	.	.	PUNCT
ejpam-6281	671	1	[	[	X
ejpam-6281	671	2	30	30	NUM
ejpam-6281	671	3	]	]	X
ejpam-6281	671	4	p.	p.	NOUN
ejpam-6281	671	5	c.	c.	PROPN
ejpam-6281	671	6	hughes	hughes	PROPN
ejpam-6281	671	7	.	.	PUNCT
ejpam-6281	671	8	spacecraft	spacecraft	NOUN
ejpam-6281	671	9	attitude	attitude	NOUN
ejpam-6281	671	10	dynamics	dynamic	NOUN
ejpam-6281	671	11	.	.	PUNCT
ejpam-6281	672	1	dover	dover	PROPN
ejpam-6281	672	2	publications	publication	NOUN
ejpam-6281	672	3	,	,	PUNCT
ejpam-6281	672	4	2004	2004	NUM
ejpam-6281	672	5	.	.	PUNCT
ejpam-6281	673	1	[	[	X
ejpam-6281	673	2	31	31	NUM
ejpam-6281	673	3	]	]	PUNCT
ejpam-6281	673	4	j.	j.	PROPN
ejpam-6281	673	5	j.	j.	PROPN
ejpam-6281	673	6	craig	craig	PROPN
ejpam-6281	673	7	.	.	PUNCT
ejpam-6281	674	1	introduction	introduction	NOUN
ejpam-6281	674	2	to	to	ADP
ejpam-6281	674	3	robotics	robotic	NOUN
ejpam-6281	674	4	:	:	PUNCT
ejpam-6281	674	5	mechanics	mechanic	NOUN
ejpam-6281	674	6	and	and	CCONJ
ejpam-6281	674	7	control	control	NOUN
ejpam-6281	674	8	.	.	PUNCT
ejpam-6281	675	1	springer	springer	NOUN
ejpam-6281	675	2	,	,	PUNCT
ejpam-6281	675	3	2004	2004	NUM
ejpam-6281	675	4	.	.	PUNCT
ejpam-6281	676	1	[	[	X
ejpam-6281	676	2	32	32	NUM
ejpam-6281	676	3	]	]	PUNCT
ejpam-6281	676	4	t.	t.	PROPN
ejpam-6281	676	5	s.	s.	PROPN
ejpam-6281	676	6	amer	amer	PROPN
ejpam-6281	676	7	,	,	PUNCT
ejpam-6281	676	8	w.	w.	PROPN
ejpam-6281	676	9	s.	s.	PROPN
ejpam-6281	676	10	amer	amer	PROPN
ejpam-6281	676	11	,	,	PUNCT
ejpam-6281	676	12	m.	m.	NOUN
ejpam-6281	676	13	fakharany	fakharany	NOUN
ejpam-6281	676	14	,	,	PUNCT
ejpam-6281	676	15	a.	a.	PROPN
ejpam-6281	676	16	h.	h.	PROPN
ejpam-6281	676	17	elneklawy	elneklawy	PROPN
ejpam-6281	676	18	,	,	PUNCT
ejpam-6281	676	19	and	and	CCONJ
ejpam-6281	676	20	h.	h.	PROPN
ejpam-6281	676	21	f.	f.	PROPN
ejpam-6281	676	22	el	el	PROPN
ejpam-6281	676	23	-	-	PUNCT
ejpam-6281	676	24	kafly	kafly	NOUN
ejpam-6281	676	25	.	.	PUNCT
ejpam-6281	677	1	modeling	modeling	NOUN
ejpam-6281	677	2	of	of	ADP
ejpam-6281	677	3	the	the	DET
ejpam-6281	677	4	euler	euler	NOUN
ejpam-6281	677	5	-	-	PUNCT
ejpam-6281	677	6	poisson	poisson	NOUN
ejpam-6281	677	7	equations	equation	NOUN
ejpam-6281	677	8	for	for	ADP
ejpam-6281	677	9	rigid	rigid	ADJ
ejpam-6281	677	10	bodies	body	NOUN
ejpam-6281	677	11	in	in	ADP
ejpam-6281	677	12	the	the	DET
ejpam-6281	677	13	context	context	NOUN
ejpam-6281	677	14	of	of	ADP
ejpam-6281	677	15	the	the	DET
ejpam-6281	677	16	gyrostatic	gyrostatic	ADJ
ejpam-6281	677	17	influences	influence	NOUN
ejpam-6281	677	18	:	:	PUNCT
ejpam-6281	677	19	an	an	DET
ejpam-6281	677	20	innovative	innovative	ADJ
ejpam-6281	677	21	methodology	methodology	NOUN
ejpam-6281	677	22	.	.	PUNCT
ejpam-6281	678	1	european	european	PROPN
ejpam-6281	678	2	journal	journal	PROPN
ejpam-6281	678	3	of	of	ADP
ejpam-6281	678	4	pure	pure	ADJ
ejpam-6281	678	5	and	and	CCONJ
ejpam-6281	678	6	applied	applied	ADJ
ejpam-6281	678	7	mathematics	mathematic	NOUN
ejpam-6281	678	8	,	,	PUNCT
ejpam-6281	678	9	18(1):5712	18(1):5712	NOUN
ejpam-6281	678	10	,	,	PUNCT
ejpam-6281	678	11	2025	2025	NUM
ejpam-6281	678	12	.	.	PUNCT
ejpam-6281	679	1	[	[	X
ejpam-6281	679	2	33	33	NUM
ejpam-6281	679	3	]	]	PUNCT
ejpam-6281	679	4	t.	t.	PROPN
ejpam-6281	679	5	s.	s.	PROPN
ejpam-6281	679	6	amer	amer	PROPN
ejpam-6281	679	7	,	,	PUNCT
ejpam-6281	679	8	h.	h.	PROPN
ejpam-6281	679	9	a.	a.	PROPN
ejpam-6281	679	10	el	el	PROPN
ejpam-6281	679	11	-	-	PUNCT
ejpam-6281	679	12	kafly	kafly	NOUN
ejpam-6281	679	13	,	,	PUNCT
ejpam-6281	679	14	a.	a.	NOUN
ejpam-6281	679	15	h.	h.	PROPN
ejpam-6281	679	16	elneklawy	elneklawy	PROPN
ejpam-6281	679	17	,	,	PUNCT
ejpam-6281	679	18	and	and	CCONJ
ejpam-6281	679	19	w.	w.	PROPN
ejpam-6281	679	20	s.	s.	PROPN
ejpam-6281	679	21	amer	amer	PROPN
ejpam-6281	679	22	.	.	PUNCT
ejpam-6281	680	1	modeling	model	VERB
ejpam-6281	680	2	analysis	analysis	NOUN
ejpam-6281	680	3	on	on	ADP
ejpam-6281	680	4	the	the	DET
ejpam-6281	680	5	influence	influence	NOUN
ejpam-6281	680	6	of	of	ADP
ejpam-6281	680	7	the	the	DET
ejpam-6281	680	8	gyrostatic	gyrostatic	ADJ
ejpam-6281	680	9	moment	moment	NOUN
ejpam-6281	680	10	on	on	ADP
ejpam-6281	680	11	the	the	DET
ejpam-6281	680	12	motion	motion	NOUN
ejpam-6281	680	13	of	of	ADP
ejpam-6281	680	14	a	a	DET
ejpam-6281	680	15	charged	charge	VERB
ejpam-6281	680	16	rigid	rigid	ADJ
ejpam-6281	680	17	body	body	NOUN
ejpam-6281	680	18	subjected	subject	VERB
ejpam-6281	680	19	to	to	ADP
ejpam-6281	680	20	constant	constant	ADJ
ejpam-6281	680	21	axial	axial	ADJ
ejpam-6281	680	22	torque	torque	NOUN
ejpam-6281	680	23	.	.	PUNCT
ejpam-6281	681	1	journal	journal	NOUN
ejpam-6281	681	2	of	of	ADP
ejpam-6281	681	3	low	low	ADJ
ejpam-6281	681	4	frequency	frequency	NOUN
ejpam-6281	681	5	noise	noise	NOUN
ejpam-6281	681	6	,	,	PUNCT
ejpam-6281	681	7	vibration	vibration	NOUN
ejpam-6281	681	8	and	and	CCONJ
ejpam-6281	681	9	active	active	ADJ
ejpam-6281	681	10	control	control	NOUN
ejpam-6281	681	11	,	,	PUNCT
ejpam-6281	681	12	43(4):1593–1610	43(4):1593–1610	NUM
ejpam-6281	681	13	,	,	PUNCT
ejpam-6281	681	14	2024	2024	NUM
ejpam-6281	681	15	.	.	PUNCT
ejpam-6281	682	1	[	[	X
ejpam-6281	682	2	34	34	NUM
ejpam-6281	682	3	]	]	PUNCT
ejpam-6281	682	4	t.	t.	PROPN
ejpam-6281	682	5	s.	s.	PROPN
ejpam-6281	682	6	amer	amer	PROPN
ejpam-6281	682	7	,	,	PUNCT
ejpam-6281	682	8	a.	a.	PROPN
ejpam-6281	682	9	h.	h.	PROPN
ejpam-6281	682	10	elneklawy	elneklawy	PROPN
ejpam-6281	682	11	,	,	PUNCT
ejpam-6281	682	12	and	and	CCONJ
ejpam-6281	682	13	h.	h.	PROPN
ejpam-6281	682	14	f.	f.	PROPN
ejpam-6281	682	15	el	el	PROPN
ejpam-6281	682	16	-	-	PUNCT
ejpam-6281	682	17	kafly	kafly	VERB
ejpam-6281	682	18	.	.	PUNCT
ejpam-6281	683	1	analysis	analysis	NOUN
ejpam-6281	683	2	of	of	ADP
ejpam-6281	683	3	euler	euler	PROPN
ejpam-6281	683	4	’s	’s	PART
ejpam-6281	683	5	equations	equation	NOUN
ejpam-6281	683	6	for	for	ADP
ejpam-6281	683	7	a	a	DET
ejpam-6281	683	8	symmetric	symmetric	ADJ
ejpam-6281	683	9	rigid	rigid	ADJ
ejpam-6281	683	10	body	body	NOUN
ejpam-6281	683	11	subject	subject	ADJ
ejpam-6281	683	12	to	to	ADP
ejpam-6281	683	13	time	time	NOUN
ejpam-6281	683	14	-	-	PUNCT
ejpam-6281	683	15	dependent	dependent	ADJ
ejpam-6281	683	16	gyrostatic	gyrostatic	ADJ
ejpam-6281	683	17	torque	torque	NOUN
ejpam-6281	683	18	.	.	PUNCT
ejpam-6281	684	1	journal	journal	NOUN
ejpam-6281	684	2	of	of	ADP
ejpam-6281	684	3	low	low	ADJ
ejpam-6281	684	4	frequency	frequency	NOUN
ejpam-6281	684	5	noise	noise	NOUN
ejpam-6281	684	6	,	,	PUNCT
ejpam-6281	684	7	vibration	vibration	NOUN
ejpam-6281	684	8	and	and	CCONJ
ejpam-6281	684	9	active	active	ADJ
ejpam-6281	684	10	control	control	NOUN
ejpam-6281	684	11	,	,	PUNCT
ejpam-6281	684	12	2025	2025	NUM
ejpam-6281	684	13	.	.	PUNCT
ejpam-6281	685	1	[	[	X
ejpam-6281	685	2	35	35	NUM
ejpam-6281	685	3	]	]	PUNCT
ejpam-6281	685	4	t.	t.	PROPN
ejpam-6281	685	5	s.	s.	PROPN
ejpam-6281	685	6	amer	amer	PROPN
ejpam-6281	685	7	,	,	PUNCT
ejpam-6281	685	8	h.	h.	PROPN
ejpam-6281	685	9	f.	f.	PROPN
ejpam-6281	685	10	el	el	PROPN
ejpam-6281	685	11	-	-	PUNCT
ejpam-6281	685	12	kafly	kafly	PROPN
ejpam-6281	685	13	,	,	PUNCT
ejpam-6281	685	14	a.	a.	NOUN
ejpam-6281	685	15	h.	h.	PROPN
ejpam-6281	685	16	elneklawy	elneklawy	PROPN
ejpam-6281	685	17	,	,	PUNCT
ejpam-6281	685	18	and	and	CCONJ
ejpam-6281	685	19	a.	a.	NOUN
ejpam-6281	685	20	a.	a.	PROPN
ejpam-6281	685	21	galal	galal	PROPN
ejpam-6281	685	22	.	.	PUNCT
ejpam-6281	686	1	analyzing	analyze	VERB
ejpam-6281	686	2	the	the	DET
ejpam-6281	686	3	dynamics	dynamic	NOUN
ejpam-6281	686	4	of	of	ADP
ejpam-6281	686	5	a	a	DET
ejpam-6281	686	6	charged	charge	VERB
ejpam-6281	686	7	rotating	rotate	VERB
ejpam-6281	686	8	rigid	rigid	ADJ
ejpam-6281	686	9	body	body	NOUN
ejpam-6281	686	10	under	under	ADP
ejpam-6281	686	11	constant	constant	ADJ
ejpam-6281	686	12	torques	torque	NOUN
ejpam-6281	686	13	.	.	PUNCT
ejpam-6281	687	1	scientific	scientific	ADJ
ejpam-6281	687	2	reports	report	NOUN
ejpam-6281	687	3	,	,	PUNCT
ejpam-6281	687	4	14(1):9839	14(1):9839	NUM
ejpam-6281	687	5	,	,	PUNCT
ejpam-6281	687	6	2024	2024	NUM
ejpam-6281	687	7	.	.	PUNCT
ejpam-6281	688	1	[	[	X
ejpam-6281	688	2	36	36	NUM
ejpam-6281	688	3	]	]	PUNCT
ejpam-6281	688	4	a.	a.	NOUN
ejpam-6281	688	5	a.	a.	NOUN
ejpam-6281	688	6	galal	galal	PROPN
ejpam-6281	688	7	,	,	PUNCT
ejpam-6281	688	8	t.	t.	PROPN
ejpam-6281	688	9	s.	s.	PROPN
ejpam-6281	688	10	amer	amer	PROPN
ejpam-6281	688	11	,	,	PUNCT
ejpam-6281	688	12	a.	a.	PROPN
ejpam-6281	688	13	h.	h.	PROPN
ejpam-6281	688	14	elneklawy	elneklawy	PROPN
ejpam-6281	688	15	,	,	PUNCT
ejpam-6281	688	16	and	and	CCONJ
ejpam-6281	688	17	h.	h.	PROPN
ejpam-6281	688	18	f.	f.	PROPN
ejpam-6281	688	19	el	el	PROPN
ejpam-6281	688	20	-	-	PUNCT
ejpam-6281	688	21	kafly	kafly	NOUN
ejpam-6281	688	22	.	.	PUNCT
ejpam-6281	689	1	studying	study	VERB
ejpam-6281	689	2	the	the	DET
ejpam-6281	689	3	influence	influence	NOUN
ejpam-6281	689	4	of	of	ADP
ejpam-6281	689	5	a	a	DET
ejpam-6281	689	6	gyrostatic	gyrostatic	ADJ
ejpam-6281	689	7	moment	moment	NOUN
ejpam-6281	689	8	on	on	ADP
ejpam-6281	689	9	the	the	DET
ejpam-6281	689	10	motion	motion	NOUN
ejpam-6281	689	11	of	of	ADP
ejpam-6281	689	12	a	a	DET
ejpam-6281	689	13	charged	charge	VERB
ejpam-6281	689	14	rigid	rigid	ADJ
ejpam-6281	689	15	body	body	NOUN
ejpam-6281	689	16	containing	contain	VERB
ejpam-6281	689	17	a	a	DET
ejpam-6281	689	18	viscous	viscous	ADJ
ejpam-6281	689	19	incompressible	incompressible	ADJ
ejpam-6281	689	20	liquid	liquid	NOUN
ejpam-6281	689	21	.	.	PUNCT
ejpam-6281	690	1	the	the	DET
ejpam-6281	690	2	european	european	PROPN
ejpam-6281	690	3	physical	physical	PROPN
ejpam-6281	690	4	journal	journal	PROPN
ejpam-6281	690	5	plus	plus	CCONJ
ejpam-6281	690	6	,	,	PUNCT
ejpam-6281	690	7	138:959	138:959	NOUN
ejpam-6281	690	8	,	,	PUNCT
ejpam-6281	690	9	2023	2023	NUM
ejpam-6281	690	10	.	.	PUNCT
ejpam-6281	691	1	[	[	X
ejpam-6281	691	2	37	37	NUM
ejpam-6281	691	3	]	]	X
ejpam-6281	691	4	f.	f.	PROPN
ejpam-6281	691	5	m.	m.	PROPN
ejpam-6281	691	6	el	el	PROPN
ejpam-6281	691	7	-	-	PROPN
ejpam-6281	691	8	sabaa	sabaa	NOUN
ejpam-6281	691	9	,	,	PUNCT
ejpam-6281	691	10	t.	t.	PROPN
ejpam-6281	691	11	s.	s.	PROPN
ejpam-6281	691	12	amer	amer	PROPN
ejpam-6281	691	13	,	,	PUNCT
ejpam-6281	691	14	h.	h.	PROPN
ejpam-6281	691	15	m.	m.	PROPN
ejpam-6281	691	16	gad	gad	PROPN
ejpam-6281	691	17	,	,	PUNCT
ejpam-6281	691	18	and	and	CCONJ
ejpam-6281	691	19	m.	m.	NOUN
ejpam-6281	691	20	a.	a.	PROPN
ejpam-6281	691	21	bek	bek	PROPN
ejpam-6281	691	22	.	.	PROPN
ejpam-6281	692	1	on	on	ADP
ejpam-6281	692	2	the	the	DET
ejpam-6281	692	3	motion	motion	NOUN
ejpam-6281	692	4	of	of	ADP
ejpam-6281	692	5	a	a	DET
ejpam-6281	692	6	damped	damped	ADJ
ejpam-6281	692	7	rigid	rigid	ADJ
ejpam-6281	692	8	body	body	NOUN
ejpam-6281	692	9	near	near	ADP
ejpam-6281	692	10	resonances	resonance	NOUN
ejpam-6281	692	11	under	under	ADP
ejpam-6281	692	12	the	the	DET
ejpam-6281	692	13	influence	influence	NOUN
ejpam-6281	692	14	of	of	ADP
ejpam-6281	692	15	harmonically	harmonically	ADV
ejpam-6281	692	16	external	external	ADJ
ejpam-6281	692	17	force	force	NOUN
ejpam-6281	692	18	and	and	CCONJ
ejpam-6281	692	19	moments	moment	NOUN
ejpam-6281	692	20	.	.	PUNCT
ejpam-6281	693	1	results	result	NOUN
ejpam-6281	693	2	in	in	ADP
ejpam-6281	693	3	physics	physics	NOUN
ejpam-6281	693	4	,	,	PUNCT
ejpam-6281	693	5	19:103352	19:103352	NUM
ejpam-6281	693	6	,	,	PUNCT
ejpam-6281	693	7	2020	2020	NUM
ejpam-6281	693	8	.	.	PUNCT
ejpam-6281	694	1	[	[	X
ejpam-6281	694	2	38	38	NUM
ejpam-6281	694	3	]	]	PUNCT
ejpam-6281	694	4	j.	j.	PROPN
ejpam-6281	694	5	awrejcewicz	awrejcewicz	PROPN
ejpam-6281	694	6	,	,	PUNCT
ejpam-6281	694	7	r.	r.	PROPN
ejpam-6281	694	8	starosta	starosta	PROPN
ejpam-6281	694	9	,	,	PUNCT
ejpam-6281	694	10	and	and	CCONJ
ejpam-6281	694	11	g.	g.	PROPN
ejpam-6281	694	12	s.	s.	PROPN
ejpam-6281	694	13	kamińska	kamińska	PROPN
ejpam-6281	694	14	.	.	PUNCT
ejpam-6281	695	1	asymptotic	asymptotic	ADJ
ejpam-6281	695	2	analysis	analysis	NOUN
ejpam-6281	695	3	of	of	ADP
ejpam-6281	695	4	resonances	resonance	NOUN
ejpam-6281	695	5	in	in	ADP
ejpam-6281	695	6	nonlinear	nonlinear	ADJ
ejpam-6281	695	7	vibrations	vibration	NOUN
ejpam-6281	695	8	of	of	ADP
ejpam-6281	695	9	the	the	DET
ejpam-6281	695	10	3	3	NUM
ejpam-6281	695	11	-	-	PUNCT
ejpam-6281	695	12	dof	dof	NOUN
ejpam-6281	695	13	pendulum	pendulum	NOUN
ejpam-6281	695	14	.	.	PUNCT
ejpam-6281	696	1	differential	differential	ADJ
ejpam-6281	696	2	equations	equation	NOUN
ejpam-6281	696	3	and	and	CCONJ
ejpam-6281	696	4	dynamical	dynamical	ADJ
ejpam-6281	696	5	systems	system	NOUN
ejpam-6281	696	6	,	,	PUNCT
ejpam-6281	696	7	21:123–140	21:123–140	NUM
ejpam-6281	696	8	,	,	PUNCT
ejpam-6281	696	9	2013	2013	NUM
ejpam-6281	696	10	.	.	PUNCT
ejpam-6281	697	1	[	[	X
ejpam-6281	697	2	39	39	NUM
ejpam-6281	697	3	]	]	PUNCT
ejpam-6281	697	4	t.	t.	PROPN
ejpam-6281	697	5	s.	s.	PROPN
ejpam-6281	697	6	amer	amer	PROPN
ejpam-6281	697	7	,	,	PUNCT
ejpam-6281	697	8	m.	m.	NOUN
ejpam-6281	697	9	a.	a.	PROPN
ejpam-6281	697	10	bek	bek	PROPN
ejpam-6281	697	11	,	,	PUNCT
ejpam-6281	697	12	and	and	CCONJ
ejpam-6281	697	13	m.	m.	PROPN
ejpam-6281	697	14	k.	k.	PROPN
ejpam-6281	697	15	abouhmr	abouhmr	PROPN
ejpam-6281	697	16	.	.	PUNCT
ejpam-6281	698	1	on	on	ADP
ejpam-6281	698	2	the	the	DET
ejpam-6281	698	3	vibrational	vibrational	ADJ
ejpam-6281	698	4	analysis	analysis	NOUN
ejpam-6281	698	5	for	for	ADP
ejpam-6281	698	6	the	the	DET
ejpam-6281	698	7	mot	mot	NOUN
ejpam-6281	698	8	.	.	PUNCT
ejpam-6281	699	1	s.	s.	PROPN
ejpam-6281	699	2	amer	amer	PROPN
ejpam-6281	699	3	et	et	PROPN
ejpam-6281	699	4	al	al	PROPN
ejpam-6281	699	5	.	.	PUNCT
ejpam-6281	699	6	/	/	SYM
ejpam-6281	699	7	eur	eur	PROPN
ejpam-6281	699	8	.	.	PUNCT
ejpam-6281	700	1	j.	j.	PROPN
ejpam-6281	700	2	pure	pure	PROPN
ejpam-6281	700	3	appl	appl	PROPN
ejpam-6281	700	4	.	.	PROPN
ejpam-6281	700	5	math	math	PROPN
ejpam-6281	700	6	,	,	PUNCT
ejpam-6281	700	7	18	18	NUM
ejpam-6281	700	8	(	(	PUNCT
ejpam-6281	700	9	3	3	NUM
ejpam-6281	700	10	)	)	PUNCT
ejpam-6281	700	11	(	(	PUNCT
ejpam-6281	700	12	2025	2025	NUM
ejpam-6281	700	13	)	)	PUNCT
ejpam-6281	700	14	,	,	PUNCT
ejpam-6281	700	15	6281	6281	NUM
ejpam-6281	700	16	28	28	NUM
ejpam-6281	700	17	of	of	ADP
ejpam-6281	700	18	35	35	NUM
ejpam-6281	700	19	tion	tion	NOUN
ejpam-6281	700	20	of	of	ADP
ejpam-6281	700	21	a	a	DET
ejpam-6281	700	22	harmonically	harmonically	ADV
ejpam-6281	700	23	damped	damp	VERB
ejpam-6281	700	24	rigid	rigid	ADJ
ejpam-6281	700	25	body	body	NOUN
ejpam-6281	700	26	pendulum	pendulum	NOUN
ejpam-6281	700	27	.	.	PUNCT
ejpam-6281	701	1	nonlinear	nonlinear	ADJ
ejpam-6281	701	2	dynamics	dynamic	NOUN
ejpam-6281	701	3	,	,	PUNCT
ejpam-6281	701	4	91:2485	91:2485	NUM
ejpam-6281	701	5	–	–	PUNCT
ejpam-6281	701	6	2502	2502	NUM
ejpam-6281	701	7	,	,	PUNCT
ejpam-6281	701	8	2018	2018	NUM
ejpam-6281	701	9	.	.	PUNCT
ejpam-6281	702	1	[	[	X
ejpam-6281	702	2	40	40	NUM
ejpam-6281	702	3	]	]	PUNCT
ejpam-6281	702	4	t.	t.	PROPN
ejpam-6281	702	5	s.	s.	PROPN
ejpam-6281	702	6	amer	amer	PROPN
ejpam-6281	702	7	.	.	PUNCT
ejpam-6281	703	1	the	the	DET
ejpam-6281	703	2	dynamical	dynamical	ADJ
ejpam-6281	703	3	behavior	behavior	NOUN
ejpam-6281	703	4	of	of	ADP
ejpam-6281	703	5	a	a	DET
ejpam-6281	703	6	rigid	rigid	ADJ
ejpam-6281	703	7	body	body	NOUN
ejpam-6281	703	8	relative	relative	ADJ
ejpam-6281	703	9	equilibrium	equilibrium	NOUN
ejpam-6281	703	10	position	position	NOUN
ejpam-6281	703	11	.	.	PUNCT
ejpam-6281	704	1	advances	advance	NOUN
ejpam-6281	704	2	in	in	ADP
ejpam-6281	704	3	mathematical	mathematical	ADJ
ejpam-6281	704	4	physics	physics	NOUN
ejpam-6281	704	5	,	,	PUNCT
ejpam-6281	704	6	2017:1–13	2017:1–13	NUM
ejpam-6281	704	7	,	,	PUNCT
ejpam-6281	704	8	2017	2017	NUM
ejpam-6281	704	9	.	.	PUNCT
ejpam-6281	705	1	[	[	X
ejpam-6281	705	2	41	41	NUM
ejpam-6281	705	3	]	]	PUNCT
ejpam-6281	705	4	r.	r.	PROPN
ejpam-6281	705	5	w.	w.	PROPN
ejpam-6281	705	6	hamming	hamming	PROPN
ejpam-6281	705	7	.	.	PUNCT
ejpam-6281	706	1	numerical	numerical	ADJ
ejpam-6281	706	2	methods	method	NOUN
ejpam-6281	706	3	for	for	ADP
ejpam-6281	706	4	scientists	scientist	NOUN
ejpam-6281	706	5	and	and	CCONJ
ejpam-6281	706	6	engineers	engineer	NOUN
ejpam-6281	706	7	.	.	PUNCT
ejpam-6281	707	1	dover	dover	PROPN
ejpam-6281	707	2	publications	publication	NOUN
ejpam-6281	707	3	,	,	PUNCT
ejpam-6281	707	4	1987	1987	NUM
ejpam-6281	707	5	.	.	PUNCT
ejpam-6281	708	1	[	[	X
ejpam-6281	708	2	42	42	NUM
ejpam-6281	708	3	]	]	PUNCT
ejpam-6281	708	4	i.	i.	PROPN
ejpam-6281	708	5	m.	m.	PROPN
ejpam-6281	708	6	abady	abady	PROPN
ejpam-6281	708	7	,	,	PUNCT
ejpam-6281	708	8	t.	t.	PROPN
ejpam-6281	708	9	s.	s.	PROPN
ejpam-6281	708	10	amer	amer	PROPN
ejpam-6281	708	11	,	,	PUNCT
ejpam-6281	708	12	h.	h.	PROPN
ejpam-6281	708	13	m.	m.	PROPN
ejpam-6281	708	14	gad	gad	PROPN
ejpam-6281	708	15	,	,	PUNCT
ejpam-6281	708	16	and	and	CCONJ
ejpam-6281	708	17	m.	m.	NOUN
ejpam-6281	708	18	a.	a.	PROPN
ejpam-6281	708	19	bek	bek	PROPN
ejpam-6281	708	20	.	.	PUNCT
ejpam-6281	709	1	the	the	DET
ejpam-6281	709	2	asymptotic	asymptotic	ADJ
ejpam-6281	709	3	analysis	analysis	NOUN
ejpam-6281	709	4	and	and	CCONJ
ejpam-6281	709	5	stability	stability	NOUN
ejpam-6281	709	6	of	of	ADP
ejpam-6281	709	7	3dof	3dof	NUM
ejpam-6281	709	8	non	non	ADJ
ejpam-6281	709	9	-	-	ADJ
ejpam-6281	709	10	linear	linear	ADJ
ejpam-6281	709	11	damped	damp	VERB
ejpam-6281	709	12	rigid	rigid	ADJ
ejpam-6281	709	13	body	body	NOUN
ejpam-6281	709	14	pendulum	pendulum	NOUN
ejpam-6281	709	15	near	near	ADP
ejpam-6281	709	16	resonance	resonance	NOUN
ejpam-6281	709	17	.	.	PUNCT
ejpam-6281	710	1	ain	ain	PROPN
ejpam-6281	710	2	shams	sham	VERB
ejpam-6281	710	3	engineering	engineering	NOUN
ejpam-6281	710	4	journal	journal	NOUN
ejpam-6281	710	5	,	,	PUNCT
ejpam-6281	710	6	91(2):101554	91(2):101554	NUM
ejpam-6281	710	7	,	,	PUNCT
ejpam-6281	710	8	2022	2022	NUM
ejpam-6281	710	9	.	.	PUNCT
ejpam-6281	711	1	[	[	X
ejpam-6281	711	2	43	43	NUM
ejpam-6281	711	3	]	]	PUNCT
ejpam-6281	711	4	t.	t.	PROPN
ejpam-6281	711	5	s.	s.	PROPN
ejpam-6281	711	6	amer	amer	PROPN
ejpam-6281	711	7	,	,	PUNCT
ejpam-6281	711	8	f.	f.	PROPN
ejpam-6281	711	9	m.	m.	PROPN
ejpam-6281	712	1	el	el	PROPN
ejpam-6281	712	2	-	-	PROPN
ejpam-6281	712	3	sabaa	sabaa	PROPN
ejpam-6281	712	4	,	,	PUNCT
ejpam-6281	712	5	s.	s.	PROPN
ejpam-6281	712	6	k.	k.	PROPN
ejpam-6281	712	7	zakria	zakria	PROPN
ejpam-6281	712	8	,	,	PUNCT
ejpam-6281	712	9	and	and	CCONJ
ejpam-6281	712	10	a.	a.	NOUN
ejpam-6281	712	11	a.	a.	PROPN
ejpam-6281	712	12	galal	galal	PROPN
ejpam-6281	712	13	.	.	PUNCT
ejpam-6281	713	1	the	the	DET
ejpam-6281	713	2	stability	stability	NOUN
ejpam-6281	713	3	of	of	ADP
ejpam-6281	713	4	3	3	NUM
ejpam-6281	713	5	-	-	PUNCT
ejpam-6281	713	6	dof	dof	NOUN
ejpam-6281	713	7	triple	triple	ADJ
ejpam-6281	713	8	-	-	PUNCT
ejpam-6281	713	9	rigid	rigid	ADJ
ejpam-6281	713	10	-	-	PUNCT
ejpam-6281	713	11	body	body	NOUN
ejpam-6281	713	12	pendulum	pendulum	NOUN
ejpam-6281	713	13	system	system	NOUN
ejpam-6281	713	14	near	near	ADP
ejpam-6281	713	15	resonances	resonance	NOUN
ejpam-6281	713	16	.	.	PUNCT
ejpam-6281	714	1	nonlinear	nonlinear	ADJ
ejpam-6281	714	2	dynamics	dynamic	NOUN
ejpam-6281	714	3	,	,	PUNCT
ejpam-6281	714	4	110:1339	110:1339	NUM
ejpam-6281	714	5	–	–	PUNCT
ejpam-6281	714	6	1371	1371	NUM
ejpam-6281	714	7	,	,	PUNCT
ejpam-6281	714	8	2022	2022	NUM
ejpam-6281	714	9	.	.	PUNCT
ejpam-6281	715	1	[	[	X
ejpam-6281	715	2	44	44	NUM
ejpam-6281	715	3	]	]	PUNCT
ejpam-6281	715	4	s.	s.	PROPN
ejpam-6281	715	5	h.	h.	PROPN
ejpam-6281	715	6	strogatz	strogatz	PROPN
ejpam-6281	715	7	.	.	PUNCT
ejpam-6281	716	1	nonlinear	nonlinear	ADJ
ejpam-6281	716	2	dynamics	dynamic	NOUN
ejpam-6281	716	3	and	and	CCONJ
ejpam-6281	716	4	chaos	chaos	NOUN
ejpam-6281	716	5	:	:	PUNCT
ejpam-6281	716	6	with	with	ADP
ejpam-6281	716	7	applications	application	NOUN
ejpam-6281	716	8	to	to	ADP
ejpam-6281	716	9	physics	physics	NOUN
ejpam-6281	716	10	,	,	PUNCT
ejpam-6281	716	11	biology	biology	NOUN
ejpam-6281	716	12	,	,	PUNCT
ejpam-6281	716	13	chemistry	chemistry	NOUN
ejpam-6281	716	14	,	,	PUNCT
ejpam-6281	716	15	and	and	CCONJ
ejpam-6281	716	16	engineering	engineering	NOUN
ejpam-6281	716	17	.	.	PUNCT
ejpam-6281	717	1	princeton	princeton	PROPN
ejpam-6281	717	2	university	university	PROPN
ejpam-6281	717	3	press	press	PROPN
ejpam-6281	717	4	,	,	PUNCT
ejpam-6281	717	5	princeton	princeton	PROPN
ejpam-6281	717	6	,	,	PUNCT
ejpam-6281	717	7	2015	2015	NUM
ejpam-6281	717	8	.	.	PUNCT
ejpam-6281	718	1	[	[	X
ejpam-6281	718	2	45	45	NUM
ejpam-6281	718	3	]	]	PUNCT
ejpam-6281	718	4	r.	r.	NOUN
ejpam-6281	718	5	jarrar	jarrar	PROPN
ejpam-6281	718	6	,	,	PUNCT
ejpam-6281	718	7	r.	r.	PROPN
ejpam-6281	718	8	safdar	safdar	PROPN
ejpam-6281	718	9	,	,	PUNCT
ejpam-6281	718	10	n.	n.	PROPN
ejpam-6281	718	11	f.	f.	PROPN
ejpam-6281	718	12	mohammad	mohammad	PROPN
ejpam-6281	718	13	,	,	PUNCT
ejpam-6281	718	14	o.	o.	PROPN
ejpam-6281	718	15	florea	florea	PROPN
ejpam-6281	718	16	,	,	PUNCT
ejpam-6281	718	17	and	and	CCONJ
ejpam-6281	718	18	j.	j.	PROPN
ejpam-6281	718	19	asad	asad	PROPN
ejpam-6281	718	20	.	.	PUNCT
ejpam-6281	719	1	dynamical	dynamical	ADJ
ejpam-6281	719	2	node	node	NOUN
ejpam-6281	719	3	of	of	ADP
ejpam-6281	719	4	case	case	NOUN
ejpam-6281	719	5	study	study	NOUN
ejpam-6281	719	6	on	on	ADP
ejpam-6281	719	7	mass	mass	ADJ
ejpam-6281	719	8	spring	spring	NOUN
ejpam-6281	719	9	system	system	NOUN
ejpam-6281	719	10	on	on	ADP
ejpam-6281	719	11	a	a	DET
ejpam-6281	719	12	massless	massless	ADJ
ejpam-6281	719	13	cart	cart	NOUN
ejpam-6281	719	14	:	:	PUNCT
ejpam-6281	719	15	compared	compare	VERB
ejpam-6281	719	16	analytical	analytical	ADJ
ejpam-6281	719	17	and	and	CCONJ
ejpam-6281	719	18	numerical	numerical	ADJ
ejpam-6281	719	19	solutions	solution	NOUN
ejpam-6281	719	20	.	.	PUNCT
ejpam-6281	720	1	journal	journal	PROPN
ejpam-6281	720	2	of	of	ADP
ejpam-6281	720	3	mechanics	mechanic	NOUN
ejpam-6281	720	4	of	of	ADP
ejpam-6281	720	5	continua	continua	PROPN
ejpam-6281	720	6	and	and	CCONJ
ejpam-6281	720	7	mathematical	mathematical	ADJ
ejpam-6281	720	8	sciences	science	NOUN
ejpam-6281	720	9	,	,	PUNCT
ejpam-6281	720	10	20:1–10	20:1–10	NUM
ejpam-6281	720	11	,	,	PUNCT
ejpam-6281	720	12	2025	2025	NUM
ejpam-6281	720	13	.	.	PUNCT
ejpam-6281	721	1	[	[	X
ejpam-6281	721	2	46	46	NUM
ejpam-6281	721	3	]	]	X
ejpam-6281	721	4	o.	o.	NOUN
ejpam-6281	721	5	a.	a.	NOUN
ejpam-6281	721	6	florea	florea	PROPN
ejpam-6281	721	7	,	,	PUNCT
ejpam-6281	721	8	d.	d.	PROPN
ejpam-6281	721	9	shahroor	shahroor	PROPN
ejpam-6281	721	10	,	,	PUNCT
ejpam-6281	721	11	r.	r.	PROPN
ejpam-6281	721	12	wannan	wannan	PROPN
ejpam-6281	721	13	,	,	PUNCT
ejpam-6281	721	14	and	and	CCONJ
ejpam-6281	721	15	j.	j.	PROPN
ejpam-6281	721	16	asad	asad	PROPN
ejpam-6281	721	17	.	.	PUNCT
ejpam-6281	721	18	pendulum	pendulum	NOUN
ejpam-6281	721	19	between	between	ADP
ejpam-6281	721	20	two	two	NUM
ejpam-6281	721	21	springs	spring	NOUN
ejpam-6281	721	22	using	use	VERB
ejpam-6281	721	23	ms	ms	PROPN
ejpam-6281	721	24	-	-	PUNCT
ejpam-6281	721	25	dtm	dtm	PROPN
ejpam-6281	721	26	.	.	PUNCT
ejpam-6281	721	27	nonlinear	nonlinear	ADJ
ejpam-6281	721	28	dynamics	dynamic	NOUN
ejpam-6281	721	29	,	,	PUNCT
ejpam-6281	721	30	100(2):025240	100(2):025240	NUM
ejpam-6281	721	31	,	,	PUNCT
ejpam-6281	721	32	2025	2025	NUM
ejpam-6281	721	33	.	.	PUNCT
ejpam-6281	722	1	[	[	X
ejpam-6281	722	2	47	47	NUM
ejpam-6281	722	3	]	]	PUNCT
ejpam-6281	722	4	t.	t.	PROPN
ejpam-6281	722	5	al	al	PROPN
ejpam-6281	722	6	-	-	PUNCT
ejpam-6281	722	7	khader	khader	PROPN
ejpam-6281	722	8	,	,	PUNCT
ejpam-6281	722	9	d.	d.	PROPN
ejpam-6281	722	10	k.	k.	PROPN
ejpam-6281	722	11	maiti	maiti	PROPN
ejpam-6281	722	12	,	,	PUNCT
ejpam-6281	722	13	t.	t.	PROPN
ejpam-6281	722	14	roy	roy	PROPN
ejpam-6281	722	15	,	,	PUNCT
ejpam-6281	722	16	o.	o.	PROPN
ejpam-6281	722	17	florea	florea	PROPN
ejpam-6281	722	18	,	,	PUNCT
ejpam-6281	722	19	and	and	CCONJ
ejpam-6281	722	20	j.	j.	PROPN
ejpam-6281	722	21	asad	asad	PROPN
ejpam-6281	722	22	.	.	PUNCT
ejpam-6281	723	1	time	time	NOUN
ejpam-6281	723	2	dependent	dependent	ADJ
ejpam-6281	723	3	harmonic	harmonic	ADJ
ejpam-6281	723	4	oscillator	oscillator	NOUN
ejpam-6281	723	5	via	via	ADP
ejpam-6281	723	6	om	om	NOUN
ejpam-6281	723	7	-	-	PUNCT
ejpam-6281	723	8	hpm	hpm	NOUN
ejpam-6281	723	9	.	.	PUNCT
ejpam-6281	724	1	journal	journal	NOUN
ejpam-6281	724	2	of	of	ADP
ejpam-6281	724	3	computational	computational	ADJ
ejpam-6281	724	4	and	and	CCONJ
ejpam-6281	724	5	applied	applied	ADJ
ejpam-6281	724	6	mechanics	mechanic	NOUN
ejpam-6281	724	7	,	,	PUNCT
ejpam-6281	724	8	56(1):264	56(1):264	NUM
ejpam-6281	724	9	–	–	PUNCT
ejpam-6281	724	10	275	275	NUM
ejpam-6281	724	11	,	,	PUNCT
ejpam-6281	724	12	2025	2025	NUM
ejpam-6281	724	13	.	.	PUNCT
ejpam-6281	725	1	[	[	X
ejpam-6281	725	2	48	48	NUM
ejpam-6281	725	3	]	]	PUNCT
ejpam-6281	725	4	t.	t.	PROPN
ejpam-6281	725	5	roy	roy	PROPN
ejpam-6281	725	6	,	,	PUNCT
ejpam-6281	725	7	a.	a.	PROPN
ejpam-6281	725	8	soqi	soqi	PROPN
ejpam-6281	725	9	,	,	PUNCT
ejpam-6281	725	10	d.	d.	PROPN
ejpam-6281	725	11	k.	k.	PROPN
ejpam-6281	725	12	maiti	maiti	PROPN
ejpam-6281	725	13	,	,	PUNCT
ejpam-6281	725	14	r.	r.	PROPN
ejpam-6281	725	15	wannan	wannan	PROPN
ejpam-6281	725	16	,	,	PUNCT
ejpam-6281	725	17	and	and	CCONJ
ejpam-6281	725	18	j.	j.	PROPN
ejpam-6281	725	19	asad	asad	PROPN
ejpam-6281	725	20	.	.	PUNCT
ejpam-6281	725	21	pendulum	pendulum	NOUN
ejpam-6281	725	22	attached	attach	VERB
ejpam-6281	725	23	to	to	ADP
ejpam-6281	725	24	a	a	DET
ejpam-6281	725	25	vibrating	vibrating	NOUN
ejpam-6281	725	26	point	point	NOUN
ejpam-6281	725	27	:	:	PUNCT
ejpam-6281	725	28	semi	semi	ADJ
ejpam-6281	725	29	-	-	ADJ
ejpam-6281	725	30	analytical	analytical	ADJ
ejpam-6281	725	31	solution	solution	NOUN
ejpam-6281	725	32	by	by	ADP
ejpam-6281	725	33	optimal	optimal	ADJ
ejpam-6281	725	34	and	and	CCONJ
ejpam-6281	725	35	modified	modify	VERB
ejpam-6281	725	36	homotopy	homotopy	NOUN
ejpam-6281	725	37	perturbation	perturbation	NOUN
ejpam-6281	725	38	method	method	NOUN
ejpam-6281	725	39	.	.	PUNCT
ejpam-6281	726	1	alexandria	alexandria	PROPN
ejpam-6281	726	2	engineering	engineering	PROPN
ejpam-6281	726	3	journal	journal	PROPN
ejpam-6281	726	4	,	,	PUNCT
ejpam-6281	726	5	111:396–403	111:396–403	NUM
ejpam-6281	726	6	,	,	PUNCT
ejpam-6281	726	7	2025	2025	NUM
ejpam-6281	726	8	.	.	PUNCT
ejpam-6281	727	1	[	[	X
ejpam-6281	727	2	49	49	NUM
ejpam-6281	727	3	]	]	PUNCT
ejpam-6281	727	4	t.	t.	PROPN
ejpam-6281	727	5	s.	s.	PROPN
ejpam-6281	727	6	amer	amer	PROPN
ejpam-6281	727	7	and	and	CCONJ
ejpam-6281	727	8	i.	i.	PROPN
ejpam-6281	727	9	m.	m.	PROPN
ejpam-6281	727	10	abady	abady	PROPN
ejpam-6281	727	11	.	.	PUNCT
ejpam-6281	728	1	on	on	ADP
ejpam-6281	728	2	the	the	DET
ejpam-6281	728	3	application	application	NOUN
ejpam-6281	728	4	of	of	ADP
ejpam-6281	728	5	kbm	kbm	PROPN
ejpam-6281	728	6	method	method	NOUN
ejpam-6281	728	7	for	for	ADP
ejpam-6281	728	8	the	the	DET
ejpam-6281	728	9	3	3	NUM
ejpam-6281	728	10	-	-	PUNCT
ejpam-6281	728	11	d	d	NOUN
ejpam-6281	728	12	motion	motion	NOUN
ejpam-6281	728	13	of	of	ADP
ejpam-6281	728	14	asymmetric	asymmetric	ADJ
ejpam-6281	728	15	rigid	rigid	ADJ
ejpam-6281	728	16	body	body	NOUN
ejpam-6281	728	17	.	.	PUNCT
ejpam-6281	729	1	nonlinear	nonlinear	ADJ
ejpam-6281	729	2	dynamics	dynamic	NOUN
ejpam-6281	729	3	,	,	PUNCT
ejpam-6281	729	4	89:1591–1609	89:1591–1609	NOUN
ejpam-6281	729	5	,	,	PUNCT
ejpam-6281	729	6	2017	2017	NUM
ejpam-6281	729	7	.	.	PUNCT
ejpam-6281	730	1	[	[	X
ejpam-6281	730	2	50	50	NUM
ejpam-6281	730	3	]	]	PUNCT
ejpam-6281	730	4	a.	a.	NOUN
ejpam-6281	730	5	h.	h.	PROPN
ejpam-6281	730	6	nayfeh	nayfeh	PROPN
ejpam-6281	730	7	.	.	PUNCT
ejpam-6281	731	1	introduction	introduction	NOUN
ejpam-6281	731	2	to	to	ADP
ejpam-6281	731	3	perturbation	perturbation	NOUN
ejpam-6281	731	4	techniques	technique	NOUN
ejpam-6281	731	5	.	.	PUNCT
ejpam-6281	732	1	wiley	wiley	PROPN
ejpam-6281	732	2	-	-	PUNCT
ejpam-6281	732	3	vch	vch	PROPN
ejpam-6281	732	4	,	,	PUNCT
ejpam-6281	732	5	2011	2011	NUM
ejpam-6281	732	6	.	.	PUNCT
ejpam-6281	733	1	[	[	X
ejpam-6281	733	2	51	51	NUM
ejpam-6281	733	3	]	]	PUNCT
ejpam-6281	733	4	t.	t.	PROPN
ejpam-6281	733	5	s.	s.	PROPN
ejpam-6281	733	6	amer	amer	PROPN
ejpam-6281	733	7	,	,	PUNCT
ejpam-6281	733	8	a.	a.	PROPN
ejpam-6281	733	9	h.	h.	PROPN
ejpam-6281	733	10	elneklawy	elneklawy	PROPN
ejpam-6281	733	11	,	,	PUNCT
ejpam-6281	733	12	and	and	CCONJ
ejpam-6281	733	13	h.	h.	PROPN
ejpam-6281	733	14	f.	f.	PROPN
ejpam-6281	733	15	el	el	PROPN
ejpam-6281	733	16	-	-	PUNCT
ejpam-6281	733	17	kafly	kafly	NOUN
ejpam-6281	733	18	.	.	PUNCT
ejpam-6281	734	1	dynamical	dynamical	ADJ
ejpam-6281	734	2	motion	motion	NOUN
ejpam-6281	734	3	of	of	ADP
ejpam-6281	734	4	a	a	DET
ejpam-6281	734	5	spacecraft	spacecraft	NOUN
ejpam-6281	734	6	containing	contain	VERB
ejpam-6281	734	7	a	a	DET
ejpam-6281	734	8	slug	slug	NOUN
ejpam-6281	734	9	and	and	CCONJ
ejpam-6281	734	10	influenced	influence	VERB
ejpam-6281	734	11	by	by	ADP
ejpam-6281	734	12	a	a	DET
ejpam-6281	734	13	gyrostatic	gyrostatic	ADJ
ejpam-6281	734	14	moment	moment	NOUN
ejpam-6281	734	15	and	and	CCONJ
ejpam-6281	734	16	constant	constant	ADJ
ejpam-6281	734	17	torques	torque	NOUN
ejpam-6281	734	18	.	.	PUNCT
ejpam-6281	735	1	journal	journal	PROPN
ejpam-6281	735	2	of	of	ADP
ejpam-6281	735	3	low	low	ADJ
ejpam-6281	735	4	frequency	frequency	NOUN
ejpam-6281	735	5	noise	noise	NOUN
ejpam-6281	735	6	,	,	PUNCT
ejpam-6281	735	7	vibration	vibration	NOUN
ejpam-6281	735	8	and	and	CCONJ
ejpam-6281	735	9	active	active	ADJ
ejpam-6281	735	10	control	control	NOUN
ejpam-6281	735	11	,	,	PUNCT
ejpam-6281	735	12	2025	2025	NUM
ejpam-6281	735	13	.	.	PUNCT
ejpam-6281	736	1	[	[	X
ejpam-6281	736	2	52	52	NUM
ejpam-6281	736	3	]	]	PUNCT
ejpam-6281	736	4	t.	t.	PROPN
ejpam-6281	736	5	s.	s.	PROPN
ejpam-6281	736	6	amer	amer	PROPN
ejpam-6281	736	7	and	and	CCONJ
ejpam-6281	736	8	i.	i.	PROPN
ejpam-6281	736	9	m.	m.	PROPN
ejpam-6281	736	10	abady	abady	PROPN
ejpam-6281	736	11	.	.	PUNCT
ejpam-6281	737	1	on	on	ADP
ejpam-6281	737	2	the	the	DET
ejpam-6281	737	3	solutions	solution	NOUN
ejpam-6281	737	4	of	of	ADP
ejpam-6281	737	5	the	the	DET
ejpam-6281	737	6	euler	euler	NOUN
ejpam-6281	737	7	’s	’s	PART
ejpam-6281	737	8	dynamic	dynamic	ADJ
ejpam-6281	737	9	equations	equation	NOUN
ejpam-6281	737	10	for	for	ADP
ejpam-6281	737	11	the	the	DET
ejpam-6281	737	12	motion	motion	NOUN
ejpam-6281	737	13	of	of	ADP
ejpam-6281	737	14	a	a	DET
ejpam-6281	737	15	rigid	rigid	ADJ
ejpam-6281	737	16	body	body	NOUN
ejpam-6281	737	17	.	.	PUNCT
ejpam-6281	738	1	journal	journal	PROPN
ejpam-6281	738	2	of	of	ADP
ejpam-6281	738	3	aerospace	aerospace	PROPN
ejpam-6281	738	4	engineering	engineering	NOUN
ejpam-6281	738	5	,	,	PUNCT
ejpam-6281	738	6	30(4):04017021	30(4):04017021	NUM
ejpam-6281	738	7	,	,	PUNCT
ejpam-6281	738	8	2017	2017	NUM
ejpam-6281	738	9	.	.	PUNCT
ejpam-6281	739	1	[	[	X
ejpam-6281	739	2	53	53	NUM
ejpam-6281	739	3	]	]	X
ejpam-6281	739	4	d.	d.	PROPN
ejpam-6281	739	5	f.	f.	PROPN
ejpam-6281	739	6	griffiths	griffiths	PROPN
ejpam-6281	739	7	and	and	CCONJ
ejpam-6281	739	8	d.	d.	PROPN
ejpam-6281	739	9	j.	j.	PROPN
ejpam-6281	739	10	higham	higham	PROPN
ejpam-6281	739	11	.	.	PUNCT
ejpam-6281	740	1	numerical	numerical	ADJ
ejpam-6281	740	2	methods	method	NOUN
ejpam-6281	740	3	for	for	ADP
ejpam-6281	740	4	ordinary	ordinary	ADJ
ejpam-6281	740	5	differential	differential	ADJ
ejpam-6281	740	6	equations	equation	NOUN
ejpam-6281	740	7	:	:	PUNCT
ejpam-6281	740	8	initial	initial	ADJ
ejpam-6281	740	9	value	value	NOUN
ejpam-6281	740	10	problems	problem	NOUN
ejpam-6281	740	11	.	.	PUNCT
ejpam-6281	741	1	springer	springer	NOUN
ejpam-6281	741	2	,	,	PUNCT
ejpam-6281	741	3	2010	2010	NUM
ejpam-6281	741	4	.	.	PUNCT
ejpam-6281	742	1	[	[	X
ejpam-6281	742	2	54	54	NUM
ejpam-6281	742	3	]	]	PUNCT
ejpam-6281	742	4	t.	t.	PROPN
ejpam-6281	742	5	s.	s.	PROPN
ejpam-6281	742	6	amer	amer	PROPN
ejpam-6281	742	7	.	.	PUNCT
ejpam-6281	742	8	motion	motion	NOUN
ejpam-6281	742	9	of	of	ADP
ejpam-6281	742	10	a	a	DET
ejpam-6281	742	11	rigid	rigid	ADJ
ejpam-6281	742	12	body	body	NOUN
ejpam-6281	742	13	analogous	analogous	ADJ
ejpam-6281	742	14	to	to	ADP
ejpam-6281	742	15	the	the	DET
ejpam-6281	742	16	case	case	NOUN
ejpam-6281	742	17	of	of	ADP
ejpam-6281	742	18	euler	euler	NOUN
ejpam-6281	742	19	and	and	CCONJ
ejpam-6281	742	20	poinsot	poinsot	ADJ
ejpam-6281	742	21	.	.	PUNCT
ejpam-6281	743	1	analysis	analysis	NOUN
ejpam-6281	743	2	,	,	PUNCT
ejpam-6281	743	3	24:305–315	24:305–315	PROPN
ejpam-6281	743	4	,	,	PUNCT
ejpam-6281	743	5	2004	2004	NUM
ejpam-6281	743	6	.	.	PUNCT
ejpam-6281	744	1	[	[	X
ejpam-6281	744	2	55	55	NUM
ejpam-6281	744	3	]	]	PUNCT
ejpam-6281	744	4	t.	t.	PROPN
ejpam-6281	744	5	s.	s.	PROPN
ejpam-6281	744	6	amer	amer	PROPN
ejpam-6281	744	7	,	,	PUNCT
ejpam-6281	744	8	a.	a.	PROPN
ejpam-6281	744	9	h.	h.	PROPN
ejpam-6281	744	10	elneklawy	elneklawy	PROPN
ejpam-6281	744	11	,	,	PUNCT
ejpam-6281	744	12	and	and	CCONJ
ejpam-6281	744	13	h.	h.	PROPN
ejpam-6281	744	14	f.	f.	PROPN
ejpam-6281	744	15	el	el	PROPN
ejpam-6281	744	16	-	-	PUNCT
ejpam-6281	744	17	kafly	kafly	NOUN
ejpam-6281	744	18	.	.	PUNCT
ejpam-6281	745	1	a	a	DET
ejpam-6281	745	2	novel	novel	ADJ
ejpam-6281	745	3	approach	approach	NOUN
ejpam-6281	745	4	to	to	ADP
ejpam-6281	745	5	solving	solve	VERB
ejpam-6281	745	6	euler	euler	NOUN
ejpam-6281	745	7	’s	’s	PART
ejpam-6281	745	8	nonlinear	nonlinear	ADJ
ejpam-6281	745	9	equations	equation	NOUN
ejpam-6281	745	10	for	for	ADP
ejpam-6281	745	11	a	a	DET
ejpam-6281	745	12	3dof	3dof	NUM
ejpam-6281	745	13	dynamical	dynamical	ADJ
ejpam-6281	745	14	motion	motion	NOUN
ejpam-6281	745	15	of	of	ADP
ejpam-6281	745	16	a	a	DET
ejpam-6281	745	17	rigid	rigid	ADJ
ejpam-6281	745	18	body	body	NOUN
ejpam-6281	745	19	under	under	ADP
ejpam-6281	745	20	gyrostatic	gyrostatic	ADJ
ejpam-6281	745	21	and	and	CCONJ
ejpam-6281	745	22	constant	constant	ADJ
ejpam-6281	745	23	torques	torque	NOUN
ejpam-6281	745	24	.	.	PUNCT
ejpam-6281	746	1	journal	journal	PROPN
ejpam-6281	746	2	of	of	ADP
ejpam-6281	746	3	low	low	ADJ
ejpam-6281	746	4	frequency	frequency	NOUN
ejpam-6281	746	5	noise	noise	NOUN
ejpam-6281	746	6	,	,	PUNCT
ejpam-6281	746	7	vibration	vibration	NOUN
ejpam-6281	746	8	and	and	CCONJ
ejpam-6281	746	9	active	active	ADJ
ejpam-6281	746	10	control	control	NOUN
ejpam-6281	746	11	,	,	PUNCT
ejpam-6281	746	12	44(1):111–129	44(1):111–129	PROPN
ejpam-6281	746	13	,	,	PUNCT
ejpam-6281	746	14	2025	2025	NUM
ejpam-6281	746	15	.	.	PUNCT
ejpam-6281	747	1	t.	t.	PROPN
ejpam-6281	747	2	s.	s.	PROPN
ejpam-6281	747	3	amer	amer	PROPN
ejpam-6281	747	4	et	et	PROPN
ejpam-6281	747	5	al	al	PROPN
ejpam-6281	747	6	.	.	PUNCT
ejpam-6281	747	7	/	/	SYM
ejpam-6281	747	8	eur	eur	PROPN
ejpam-6281	747	9	.	.	PUNCT
ejpam-6281	748	1	j.	j.	PROPN
ejpam-6281	748	2	pure	pure	PROPN
ejpam-6281	748	3	appl	appl	PROPN
ejpam-6281	748	4	.	.	PROPN
ejpam-6281	748	5	math	math	PROPN
ejpam-6281	748	6	,	,	PUNCT
ejpam-6281	748	7	18	18	NUM
ejpam-6281	748	8	(	(	PUNCT
ejpam-6281	748	9	3	3	NUM
ejpam-6281	748	10	)	)	PUNCT
ejpam-6281	748	11	(	(	PUNCT
ejpam-6281	748	12	2025	2025	NUM
ejpam-6281	748	13	)	)	PUNCT
ejpam-6281	748	14	,	,	PUNCT
ejpam-6281	748	15	6281	6281	NUM
ejpam-6281	748	16	29	29	NUM
ejpam-6281	748	17	of	of	ADP
ejpam-6281	748	18	35	35	NUM
ejpam-6281	748	19	appendix	appendix	NOUN
ejpam-6281	748	20	1	1	NUM
ejpam-6281	748	21	γ11	γ11	NOUN
ejpam-6281	748	22	=	=	SYM
ejpam-6281	748	23	−1	−1	NOUN
ejpam-6281	748	24	2d	2d	NOUN
ejpam-6281	748	25	2	2	NUM
ejpam-6281	748	26	2[χ−	2[χ−	NOUN
ejpam-6281	748	27	kδ(1	kδ(1	PROPN
ejpam-6281	748	28	+	+	CCONJ
ejpam-6281	748	29	χδ)]−	χδ)]−	ADJ
ejpam-6281	748	30	1	1	X
ejpam-6281	748	31	br10	br10	PROPN
ejpam-6281	748	32	{	{	PUNCT
ejpam-6281	748	33	a1[b(1	a1[b(1	ADV
ejpam-6281	748	34	+	+	NUM
ejpam-6281	748	35	χδ)−	χδ)−	NOUN
ejpam-6281	748	36	1][d1	1][d1	NUM
ejpam-6281	748	37	−	−	NOUN
ejpam-6281	748	38	δ	δ	PROPN
ejpam-6281	748	39	+	+	CCONJ
ejpam-6281	748	40	δd2(k	δd2(k	PROPN
ejpam-6281	748	41	+	+	CCONJ
ejpam-6281	748	42	1	1	NUM
ejpam-6281	748	43	)	)	PUNCT
ejpam-6281	748	44	]	]	PUNCT
ejpam-6281	749	1	−a3[b(1	−a3[b(1	NOUN
ejpam-6281	749	2	+	+	SYM
ejpam-6281	749	3	χδ)−	χδ)−	NOUN
ejpam-6281	749	4	1][d1χ−	1][d1χ−	NUM
ejpam-6281	749	5	1−	1−	NUM
ejpam-6281	749	6	χδ	χδ	ADV
ejpam-6281	749	7	+	+	X
ejpam-6281	749	8	d2(k	d2(k	PROPN
ejpam-6281	749	9	+	+	CCONJ
ejpam-6281	749	10	1)(1	1)(1	NUM
ejpam-6281	749	11	+	+	SYM
ejpam-6281	749	12	χδ	χδ	PROPN
ejpam-6281	749	13	)	)	PUNCT
ejpam-6281	749	14	]	]	PUNCT
ejpam-6281	750	1	−a1a3[b(1	−a1a3[b(1	PROPN
ejpam-6281	750	2	+	+	NUM
ejpam-6281	750	3	χδ)−	χδ)−	X
ejpam-6281	750	4	1][χ+	1][χ+	NUM
ejpam-6281	750	5	δ(1	δ(1	NOUN
ejpam-6281	750	6	+	+	NUM
ejpam-6281	750	7	χδ)(k	χδ)(k	PROPN
ejpam-6281	750	8	+	+	CCONJ
ejpam-6281	750	9	1)]}+	1)]}+	NOUN
ejpam-6281	750	10	λ́2	λ́2	ADV
ejpam-6281	750	11	ρ1ρ2	ρ1ρ2	PROPN
ejpam-6281	750	12	{	{	PUNCT
ejpam-6281	750	13	a2	a2	PROPN
ejpam-6281	750	14	b	b	PROPN
ejpam-6281	751	1	[	[	X
ejpam-6281	751	2	b(1	b(1	PROPN
ejpam-6281	751	3	+	+	CCONJ
ejpam-6281	751	4	χδ)−	χδ)−	X
ejpam-6281	751	5	1	1	X
ejpam-6281	751	6	]	]	X
ejpam-6281	751	7	×[ρ2(1	×[ρ2(1	NOUN
ejpam-6281	751	8	+	+	CCONJ
ejpam-6281	751	9	χδ	χδ	PROPN
ejpam-6281	751	10	)	)	PUNCT
ejpam-6281	751	11	+	+	CCONJ
ejpam-6281	751	12	χδρ1	χδρ1	NOUN
ejpam-6281	751	13	+	+	CCONJ
ejpam-6281	751	14	δ2(1	δ2(1	NOUN
ejpam-6281	751	15	+	+	CCONJ
ejpam-6281	751	16	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	751	17	+	+	X
ejpam-6281	751	18	ρ2)(k	ρ2)(k	PROPN
ejpam-6281	752	1	+	+	CCONJ
ejpam-6281	752	2	1)]−	1)]−	NUM
ejpam-6281	752	3	1	1	NUM
ejpam-6281	752	4	2ρ1ρ2	2ρ1ρ2	NUM
ejpam-6281	752	5	δ2χλ́2r	δ2χλ́2r	NOUN
ejpam-6281	752	6	2	2	NUM
ejpam-6281	752	7	10(1	10(1	NUM
ejpam-6281	752	8	+	+	ADJ
ejpam-6281	752	9	χδ)2(χ−	χδ)2(χ−	NOUN
ejpam-6281	752	10	(	(	PUNCT
ejpam-6281	752	11	k	k	X
ejpam-6281	752	12	+	+	NUM
ejpam-6281	752	13	1)(1	1)(1	NUM
ejpam-6281	752	14	+	+	CCONJ
ejpam-6281	752	15	χδ))(ρ1	χδ))(ρ1	PROPN
ejpam-6281	752	16	+	+	CCONJ
ejpam-6281	752	17	ρ2	ρ2	NOUN
ejpam-6281	752	18	)	)	PUNCT
ejpam-6281	752	19	2	2	NUM
ejpam-6281	752	20	}	}	PUNCT
ejpam-6281	752	21	,	,	PUNCT
ejpam-6281	752	22	γ12	γ12	NOUN
ejpam-6281	752	23	=	=	SYM
ejpam-6281	752	24	−1	−1	NOUN
ejpam-6281	752	25	2δ	2δ	NUM
ejpam-6281	752	26	2[χ−	2[χ−	PROPN
ejpam-6281	753	1	kδ(1	kδ(1	PROPN
ejpam-6281	753	2	+	+	CCONJ
ejpam-6281	753	3	χδ	χδ	PROPN
ejpam-6281	753	4	)	)	PUNCT
ejpam-6281	753	5	]	]	PUNCT
ejpam-6281	753	6	,	,	PUNCT
ejpam-6281	753	7	γ13	γ13	NOUN
ejpam-6281	753	8	=	=	SYM
ejpam-6281	753	9	−1	−1	NOUN
ejpam-6281	753	10	2(1	2(1	NUM
ejpam-6281	753	11	+	+	NUM
ejpam-6281	753	12	χδ)2[χ−	χδ)2[χ−	NOUN
ejpam-6281	753	13	k(1	k(1	NOUN
ejpam-6281	753	14	+	+	CCONJ
ejpam-6281	753	15	χδ	χδ	PROPN
ejpam-6281	753	16	)	)	PUNCT
ejpam-6281	753	17	]	]	PUNCT
ejpam-6281	753	18	,	,	PUNCT
ejpam-6281	753	19	γ14	γ14	PROPN
ejpam-6281	753	20	=	=	SYM
ejpam-6281	753	21	1	1	NUM
ejpam-6281	753	22	br10	br10	PROPN
ejpam-6281	753	23	[	[	X
ejpam-6281	753	24	b(1	b(1	PROPN
ejpam-6281	753	25	+	+	CCONJ
ejpam-6281	753	26	χδ))−	χδ))−	NOUN
ejpam-6281	753	27	1][d1	1][d1	NUM
ejpam-6281	753	28	−	−	PROPN
ejpam-6281	753	29	δ	δ	X
ejpam-6281	754	1	+	+	CCONJ
ejpam-6281	754	2	δd2(k	δd2(k	PROPN
ejpam-6281	754	3	+	+	CCONJ
ejpam-6281	754	4	1)]−	1)]−	PROPN
ejpam-6281	754	5	δd2[χ−	δd2[χ−	PROPN
ejpam-6281	754	6	kδ(1	kδ(1	PROPN
ejpam-6281	754	7	+	+	CCONJ
ejpam-6281	754	8	χδ	χδ	PROPN
ejpam-6281	754	9	)	)	PUNCT
ejpam-6281	754	10	]	]	X
ejpam-6281	754	11	,	,	PUNCT
ejpam-6281	754	12	γ15	γ15	NUM
ejpam-6281	754	13	=	=	SYM
ejpam-6281	754	14	1	1	NUM
ejpam-6281	754	15	br10	br10	PROPN
ejpam-6281	754	16	[	[	X
ejpam-6281	754	17	b(1	b(1	PROPN
ejpam-6281	754	18	+	+	CCONJ
ejpam-6281	754	19	χδ))−	χδ))−	NOUN
ejpam-6281	754	20	1][d1χ−	1][d1χ−	NUM
ejpam-6281	754	21	1−	1−	NUM
ejpam-6281	754	22	χδ	χδ	ADP
ejpam-6281	754	23	+	+	CCONJ
ejpam-6281	754	24	d2(1	d2(1	NOUN
ejpam-6281	754	25	+	+	CCONJ
ejpam-6281	754	26	k)(1	k)(1	X
ejpam-6281	754	27	+	+	CCONJ
ejpam-6281	754	28	χδ)]−	χδ)]−	ADJ
ejpam-6281	754	29	d2(1	d2(1	NOUN
ejpam-6281	754	30	+	+	CCONJ
ejpam-6281	754	31	χδ)[χ−	χδ)[χ−	PROPN
ejpam-6281	754	32	kδ(1	kδ(1	PROPN
ejpam-6281	754	33	+	+	CCONJ
ejpam-6281	754	34	χδ	χδ	PROPN
ejpam-6281	754	35	)	)	PUNCT
ejpam-6281	754	36	]	]	X
ejpam-6281	754	37	,	,	PUNCT
ejpam-6281	754	38	γ16	γ16	NOUN
ejpam-6281	754	39	=	=	SYM
ejpam-6281	754	40	1	1	NUM
ejpam-6281	754	41	br10	br10	PROPN
ejpam-6281	754	42	[	[	X
ejpam-6281	754	43	b(1	b(1	PROPN
ejpam-6281	754	44	+	+	CCONJ
ejpam-6281	754	45	χδ))−	χδ))−	PROPN
ejpam-6281	754	46	1][χ+	1][χ+	NUM
ejpam-6281	754	47	δ(1	δ(1	NOUN
ejpam-6281	754	48	+	+	CCONJ
ejpam-6281	754	49	k)(1	k)(1	X
ejpam-6281	754	50	+	+	CCONJ
ejpam-6281	754	51	χδ)]−	χδ)]−	ADJ
ejpam-6281	754	52	δ(1	δ(1	NOUN
ejpam-6281	754	53	+	+	CCONJ
ejpam-6281	754	54	χδ)[χ−	χδ)[χ−	PROPN
ejpam-6281	754	55	kδ(1	kδ(1	PROPN
ejpam-6281	754	56	+	+	CCONJ
ejpam-6281	754	57	χδ	χδ	PROPN
ejpam-6281	754	58	)	)	PUNCT
ejpam-6281	754	59	]	]	PUNCT
ejpam-6281	754	60	,	,	PUNCT
ejpam-6281	754	61	γ17	γ17	PROPN
ejpam-6281	754	62	=	=	PUNCT
ejpam-6281	754	63	λ́2	λ́2	ADV
ejpam-6281	754	64	ρ1ρ2	ρ1ρ2	VERB
ejpam-6281	754	65	{	{	PUNCT
ejpam-6281	754	66	[	[	X
ejpam-6281	754	67	b(1+χδ))−1	b(1+χδ))−1	X
ejpam-6281	754	68	]	]	X
ejpam-6281	754	69	b	b	NOUN
ejpam-6281	755	1	[	[	X
ejpam-6281	755	2	ρ2(1	ρ2(1	NOUN
ejpam-6281	755	3	+	+	SYM
ejpam-6281	755	4	χδ	χδ	ADJ
ejpam-6281	755	5	)	)	PUNCT
ejpam-6281	755	6	+	+	CCONJ
ejpam-6281	755	7	χδρ1	χδρ1	NOUN
ejpam-6281	755	8	+	+	CCONJ
ejpam-6281	755	9	δ2(1	δ2(1	NOUN
ejpam-6281	755	10	+	+	CCONJ
ejpam-6281	755	11	χδ)(1	χδ)(1	X
ejpam-6281	756	1	+	+	CCONJ
ejpam-6281	756	2	k)(ρ1	k)(ρ1	PROPN
ejpam-6281	756	3	+	+	CCONJ
ejpam-6281	756	4	ρ2	ρ2	NOUN
ejpam-6281	756	5	)	)	PUNCT
ejpam-6281	756	6	]	]	PUNCT
ejpam-6281	757	1	−δ2r10(1	−δ2r10(1	PROPN
ejpam-6281	757	2	+	+	CCONJ
ejpam-6281	757	3	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	757	4	+	+	PUNCT
ejpam-6281	757	5	ρ2)(χ−	ρ2)(χ−	NOUN
ejpam-6281	757	6	kδ(1	kδ(1	PROPN
ejpam-6281	757	7	+	+	CCONJ
ejpam-6281	757	8	χδ	χδ	PROPN
ejpam-6281	757	9	)	)	PUNCT
ejpam-6281	757	10	)	)	PUNCT
ejpam-6281	757	11	}	}	PUNCT
ejpam-6281	757	12	,	,	PUNCT
ejpam-6281	757	13	γ18	γ18	PROPN
ejpam-6281	757	14	=	=	PRON
ejpam-6281	757	15	λ́2	λ́2	ADV
ejpam-6281	757	16	ρ1ρ2	ρ1ρ2	PUNCT
ejpam-6281	757	17	{	{	PUNCT
ejpam-6281	757	18	[	[	X
ejpam-6281	757	19	b(1+χδ))−1	b(1+χδ))−1	X
ejpam-6281	757	20	]	]	X
ejpam-6281	757	21	b	b	X
ejpam-6281	757	22	{	{	PUNCT
ejpam-6281	757	23	χ[ρ2(1	χ[ρ2(1	NOUN
ejpam-6281	757	24	+	+	ADJ
ejpam-6281	757	25	χδ	χδ	PROPN
ejpam-6281	757	26	)	)	PUNCT
ejpam-6281	757	27	+	+	CCONJ
ejpam-6281	757	28	χδρ1	χδρ1	NOUN
ejpam-6281	757	29	]	]	PUNCT
ejpam-6281	758	1	+	+	CCONJ
ejpam-6281	758	2	δ(1	δ(1	NOUN
ejpam-6281	758	3	+	+	CCONJ
ejpam-6281	758	4	k)(1	k)(1	X
ejpam-6281	758	5	+	+	CCONJ
ejpam-6281	758	6	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	758	7	+	+	CCONJ
ejpam-6281	758	8	ρ2	ρ2	NOUN
ejpam-6281	758	9	)	)	PUNCT
ejpam-6281	758	10	}	}	PUNCT
ejpam-6281	758	11	−δλ́2r10(1	−δλ́2r10(1	NOUN
ejpam-6281	758	12	+	+	CCONJ
ejpam-6281	758	13	χδ)2(ρ1	χδ)2(ρ1	NOUN
ejpam-6281	758	14	+	+	SYM
ejpam-6281	758	15	ρ2)(χ−	ρ2)(χ−	NOUN
ejpam-6281	758	16	δk(1	δk(1	PROPN
ejpam-6281	758	17	+	+	CCONJ
ejpam-6281	758	18	χδ	χδ	PROPN
ejpam-6281	758	19	)	)	PUNCT
ejpam-6281	758	20	)	)	PUNCT
ejpam-6281	758	21	}	}	PUNCT
ejpam-6281	758	22	,	,	PUNCT
ejpam-6281	758	23	γ21	γ21	NOUN
ejpam-6281	758	24	=	=	SYM
ejpam-6281	758	25	1	1	NUM
ejpam-6281	758	26	2d	2d	NUM
ejpam-6281	758	27	2	2	NUM
ejpam-6281	758	28	2[k(1	2[k(1	NUM
ejpam-6281	758	29	+	+	CCONJ
ejpam-6281	758	30	χδ)2	χδ)2	PRON
ejpam-6281	758	31	−	−	PROPN
ejpam-6281	758	32	χ2]−	χ2]−	ADJ
ejpam-6281	758	33	1	1	NUM
ejpam-6281	758	34	r10	r10	NOUN
ejpam-6281	758	35	{	{	PUNCT
ejpam-6281	758	36	a1[χ(1	a1[χ(1	PROPN
ejpam-6281	758	37	+	+	ADJ
ejpam-6281	758	38	χδ)][d1	χδ)][d1	ADJ
ejpam-6281	758	39	−	−	PROPN
ejpam-6281	758	40	δ	δ	NOUN
ejpam-6281	758	41	+	+	NUM
ejpam-6281	758	42	δd2(1	δd2(1	NOUN
ejpam-6281	758	43	+	+	X
ejpam-6281	758	44	k	k	NOUN
ejpam-6281	758	45	)	)	PUNCT
ejpam-6281	758	46	]	]	PUNCT
ejpam-6281	758	47	−a3[χ(1	−a3[χ(1	NOUN
ejpam-6281	758	48	+	+	CCONJ
ejpam-6281	758	49	χδ)−	χδ)−	NOUN
ejpam-6281	758	50	1][d1χ−	1][d1χ−	NUM
ejpam-6281	758	51	1−	1−	NUM
ejpam-6281	758	52	χδ	χδ	ADP
ejpam-6281	758	53	+	+	CCONJ
ejpam-6281	758	54	d2(1	d2(1	NOUN
ejpam-6281	758	55	+	+	CCONJ
ejpam-6281	758	56	k)(1	k)(1	X
ejpam-6281	759	1	+	+	CCONJ
ejpam-6281	759	2	χδ)]−a1a3[χ(1	χδ)]−a1a3[χ(1	X
ejpam-6281	759	3	+	+	PUNCT
ejpam-6281	759	4	χδ)][χ+	χδ)][χ+	PROPN
ejpam-6281	759	5	δ(1	δ(1	PROPN
ejpam-6281	759	6	+	+	NUM
ejpam-6281	759	7	χδ)(k	χδ)(k	PROPN
ejpam-6281	759	8	+	+	CCONJ
ejpam-6281	759	9	1	1	NUM
ejpam-6281	759	10	)	)	PUNCT
ejpam-6281	759	11	]	]	PUNCT
ejpam-6281	759	12	}	}	PUNCT
ejpam-6281	759	13	+	+	CCONJ
ejpam-6281	759	14	χλ́2	χλ́2	ADV
ejpam-6281	759	15	ρ1ρ2	ρ1ρ2	X
ejpam-6281	759	16	{	{	PUNCT
ejpam-6281	759	17	a2(1	a2(1	NOUN
ejpam-6281	759	18	+	+	CCONJ
ejpam-6281	759	19	χδ)[ρ2(1	χδ)[ρ2(1	NOUN
ejpam-6281	759	20	+	+	CCONJ
ejpam-6281	759	21	χδ	χδ	NOUN
ejpam-6281	759	22	)	)	PUNCT
ejpam-6281	759	23	+	+	CCONJ
ejpam-6281	759	24	χδρ1	χδρ1	NOUN
ejpam-6281	759	25	+	+	CCONJ
ejpam-6281	759	26	δ2(1	δ2(1	NOUN
ejpam-6281	759	27	+	+	CCONJ
ejpam-6281	759	28	χδ)(1	χδ)(1	PRON
ejpam-6281	759	29	+	+	CCONJ
ejpam-6281	759	30	k)(ρ1	k)(ρ1	PROPN
ejpam-6281	759	31	+	+	CCONJ
ejpam-6281	759	32	ρ2)]−	ρ2)]−	PROPN
ejpam-6281	759	33	1	1	NUM
ejpam-6281	759	34	2ρ1ρ2	2ρ1ρ2	NOUN
ejpam-6281	759	35	δ2λ́22r	δ2λ́22r	NOUN
ejpam-6281	759	36	2	2	NUM
ejpam-6281	759	37	10(1	10(1	NUM
ejpam-6281	759	38	+	+	CCONJ
ejpam-6281	759	39	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	759	40	+	+	ADJ
ejpam-6281	759	41	ρ2	ρ2	NOUN
ejpam-6281	759	42	)	)	PUNCT
ejpam-6281	759	43	2)(k(1	2)(k(1	NOUN
ejpam-6281	759	44	+	+	CCONJ
ejpam-6281	759	45	χδ)2	χδ)2	PROPN
ejpam-6281	759	46	−	−	PROPN
ejpam-6281	759	47	χ2	χ2	PROPN
ejpam-6281	759	48	)	)	PUNCT
ejpam-6281	759	49	}	}	PUNCT
ejpam-6281	759	50	,	,	PUNCT
ejpam-6281	759	51	γ22	γ22	X
ejpam-6281	759	52	=	=	SYM
ejpam-6281	759	53	−1	−1	NOUN
ejpam-6281	759	54	2	2	NUM
ejpam-6281	759	55	[	[	X
ejpam-6281	759	56	k(1	k(1	PROPN
ejpam-6281	759	57	+	+	CCONJ
ejpam-6281	759	58	χδ)2	χδ)2	PROPN
ejpam-6281	759	59	−	−	PROPN
ejpam-6281	759	60	χ2]δ2	χ2]δ2	PROPN
ejpam-6281	759	61	,	,	PUNCT
ejpam-6281	759	62	γ23	γ23	NOUN
ejpam-6281	759	63	=	=	SYM
ejpam-6281	759	64	−1	−1	NOUN
ejpam-6281	759	65	2(1	2(1	NUM
ejpam-6281	760	1	+	+	CCONJ
ejpam-6281	760	2	χδ)2[k(1	χδ)2[k(1	NOUN
ejpam-6281	760	3	+	+	CCONJ
ejpam-6281	761	1	χδ)2	χδ)2	PROPN
ejpam-6281	761	2	−	−	PROPN
ejpam-6281	761	3	χ2	χ2	PROPN
ejpam-6281	761	4	]	]	PUNCT
ejpam-6281	761	5	,	,	PUNCT
ejpam-6281	761	6	γ24	γ24	NOUN
ejpam-6281	761	7	=	=	SYM
ejpam-6281	761	8	χ	χ	PRON
ejpam-6281	761	9	r10	r10	NOUN
ejpam-6281	761	10	{	{	PUNCT
ejpam-6281	761	11	(	(	PUNCT
ejpam-6281	761	12	1	1	NUM
ejpam-6281	761	13	+	+	CCONJ
ejpam-6281	761	14	χδ)[d1	χδ)[d1	NOUN
ejpam-6281	761	15	−	−	PROPN
ejpam-6281	761	16	δ	δ	NOUN
ejpam-6281	761	17	+	+	NUM
ejpam-6281	761	18	δd2(1	δd2(1	NOUN
ejpam-6281	761	19	+	+	X
ejpam-6281	761	20	k	k	NOUN
ejpam-6281	761	21	)	)	PUNCT
ejpam-6281	761	22	]	]	PUNCT
ejpam-6281	762	1	+	+	CCONJ
ejpam-6281	762	2	δr10d2[k(1	δr10d2[k(1	NOUN
ejpam-6281	762	3	+	+	CCONJ
ejpam-6281	762	4	χδ)2	χδ)2	PRON
ejpam-6281	762	5	−	−	PROPN
ejpam-6281	762	6	χ2	χ2	PROPN
ejpam-6281	762	7	]	]	PUNCT
ejpam-6281	762	8	}	}	PUNCT
ejpam-6281	762	9	,	,	PUNCT
ejpam-6281	762	10	γ25	γ25	PROPN
ejpam-6281	762	11	=	=	SYM
ejpam-6281	762	12	χ(1+χδ	χ(1+χδ	PROPN
ejpam-6281	762	13	)	)	PUNCT
ejpam-6281	762	14	r10	r10	NOUN
ejpam-6281	762	15	{	{	PUNCT
ejpam-6281	762	16	[	[	X
ejpam-6281	762	17	d1χ+	d1χ+	NOUN
ejpam-6281	762	18	(	(	PUNCT
ejpam-6281	762	19	1	1	NUM
ejpam-6281	762	20	+	+	NOUN
ejpam-6281	762	21	χδ)(d2(1	χδ)(d2(1	NOUN
ejpam-6281	762	22	+	+	CCONJ
ejpam-6281	762	23	k)−	k)−	PROPN
ejpam-6281	762	24	1	1	NUM
ejpam-6281	762	25	)	)	PUNCT
ejpam-6281	762	26	]	]	PUNCT
ejpam-6281	763	1	+	+	CCONJ
ejpam-6281	763	2	d2r10[k(1	d2r10[k(1	NOUN
ejpam-6281	763	3	+	+	CCONJ
ejpam-6281	763	4	χδ)2	χδ)2	PROPN
ejpam-6281	763	5	−	−	PROPN
ejpam-6281	763	6	χ2	χ2	PROPN
ejpam-6281	763	7	}	}	PUNCT
ejpam-6281	763	8	,	,	PUNCT
ejpam-6281	763	9	γ26	γ26	PROPN
ejpam-6281	763	10	=	=	SYM
ejpam-6281	763	11	χ	χ	PRON
ejpam-6281	763	12	r10	r10	NOUN
ejpam-6281	763	13	(	(	PUNCT
ejpam-6281	763	14	1	1	NUM
ejpam-6281	763	15	+	+	NUM
ejpam-6281	763	16	χδ){[χ+	χδ){[χ+	PROPN
ejpam-6281	763	17	δ(1	δ(1	NOUN
ejpam-6281	763	18	+	+	CCONJ
ejpam-6281	763	19	χδ)(1	χδ)(1	PRON
ejpam-6281	763	20	+	+	CCONJ
ejpam-6281	763	21	k)]−	k)]−	ADJ
ejpam-6281	763	22	δr10[(1	δr10[(1	NOUN
ejpam-6281	764	1	+	+	CCONJ
ejpam-6281	764	2	χδ)2	χδ)2	PROPN
ejpam-6281	764	3	−	−	PROPN
ejpam-6281	764	4	χ2̂	χ2̂	NUM
ejpam-6281	764	5	]	]	PUNCT
ejpam-6281	764	6	}	}	PUNCT
ejpam-6281	764	7	,	,	PUNCT
ejpam-6281	764	8	γ27	γ27	PROPN
ejpam-6281	764	9	=	=	NOUN
ejpam-6281	764	10	χ(1+χδ)λ́2	χ(1+χδ)λ́2	PUNCT
ejpam-6281	764	11	ρ1ρ2	ρ1ρ2	X
ejpam-6281	764	12	{	{	PUNCT
ejpam-6281	764	13	[	[	X
ejpam-6281	764	14	ρ2(1	ρ2(1	NOUN
ejpam-6281	764	15	+	+	SYM
ejpam-6281	764	16	χδ	χδ	ADJ
ejpam-6281	764	17	)	)	PUNCT
ejpam-6281	764	18	+	+	CCONJ
ejpam-6281	764	19	χδρ1	χδρ1	NOUN
ejpam-6281	764	20	+	+	CCONJ
ejpam-6281	764	21	δ2(1	δ2(1	NOUN
ejpam-6281	764	22	+	+	CCONJ
ejpam-6281	764	23	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	764	24	+	+	CCONJ
ejpam-6281	764	25	ρ2)(1	ρ2)(1	NOUN
ejpam-6281	764	26	+	+	CCONJ
ejpam-6281	764	27	k	k	NOUN
ejpam-6281	764	28	)	)	PUNCT
ejpam-6281	764	29	]	]	PUNCT
ejpam-6281	765	1	+	+	CCONJ
ejpam-6281	765	2	δ2	δ2	VERB
ejpam-6281	765	3	χ	χ	NOUN
ejpam-6281	765	4	[	[	X
ejpam-6281	765	5	k(1	k(1	PROPN
ejpam-6281	765	6	+	+	CCONJ
ejpam-6281	765	7	χδ)2	χδ)2	PROPN
ejpam-6281	765	8	]	]	X
ejpam-6281	765	9	−χ2]r10(ρ1	−χ2]r10(ρ1	NOUN
ejpam-6281	765	10	+	+	CCONJ
ejpam-6281	765	11	ρ2	ρ2	NOUN
ejpam-6281	765	12	)	)	PUNCT
ejpam-6281	765	13	}	}	PUNCT
ejpam-6281	765	14	,	,	PUNCT
ejpam-6281	765	15	γ28	γ28	PROPN
ejpam-6281	765	16	=	=	SYM
ejpam-6281	765	17	λ́2χ(1+χδ	λ́2χ(1+χδ	NOUN
ejpam-6281	765	18	)	)	PUNCT
ejpam-6281	765	19	ρ1ρ2	ρ1ρ2	X
ejpam-6281	765	20	{	{	PUNCT
ejpam-6281	765	21	[	[	X
ejpam-6281	765	22	χ(ρ2(1	χ(ρ2(1	NOUN
ejpam-6281	765	23	+	+	NUM
ejpam-6281	765	24	χδ	χδ	ADJ
ejpam-6281	765	25	)	)	PUNCT
ejpam-6281	765	26	+	+	CCONJ
ejpam-6281	765	27	χδρ1	χδρ1	NOUN
ejpam-6281	765	28	)	)	PUNCT
ejpam-6281	766	1	+	+	CCONJ
ejpam-6281	766	2	δ(1	δ(1	NOUN
ejpam-6281	766	3	+	+	CCONJ
ejpam-6281	766	4	k)(1	k)(1	X
ejpam-6281	766	5	+	+	CCONJ
ejpam-6281	766	6	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	766	7	+	+	CCONJ
ejpam-6281	766	8	ρ2	ρ2	NOUN
ejpam-6281	766	9	)	)	PUNCT
ejpam-6281	766	10	]	]	PUNCT
ejpam-6281	767	1	+	+	CCONJ
ejpam-6281	767	2	δr10(1	δr10(1	ADJ
ejpam-6281	767	3	+	+	CCONJ
ejpam-6281	767	4	χδ)2	χδ)2	PRON
ejpam-6281	767	5	×[k(1	×[k(1	NOUN
ejpam-6281	767	6	+	+	CCONJ
ejpam-6281	767	7	χδ)2	χδ)2	PROPN
ejpam-6281	767	8	−	−	PROPN
ejpam-6281	767	9	χ2](ρ1	χ2](ρ1	PROPN
ejpam-6281	767	10	+	+	CCONJ
ejpam-6281	767	11	ρ2	ρ2	NOUN
ejpam-6281	767	12	)	)	PUNCT
ejpam-6281	767	13	}	}	PUNCT
ejpam-6281	767	14	,	,	PUNCT
ejpam-6281	767	15	t.	t.	PROPN
ejpam-6281	767	16	s.	s.	PROPN
ejpam-6281	767	17	amer	amer	PROPN
ejpam-6281	767	18	et	et	PROPN
ejpam-6281	767	19	al	al	PROPN
ejpam-6281	767	20	.	.	PUNCT
ejpam-6281	767	21	/	/	SYM
ejpam-6281	767	22	eur	eur	PROPN
ejpam-6281	767	23	.	.	PUNCT
ejpam-6281	768	1	j.	j.	PROPN
ejpam-6281	768	2	pure	pure	PROPN
ejpam-6281	768	3	appl	appl	PROPN
ejpam-6281	768	4	.	.	PROPN
ejpam-6281	768	5	math	math	PROPN
ejpam-6281	768	6	,	,	PUNCT
ejpam-6281	768	7	18	18	NUM
ejpam-6281	768	8	(	(	PUNCT
ejpam-6281	768	9	3	3	NUM
ejpam-6281	768	10	)	)	PUNCT
ejpam-6281	768	11	(	(	PUNCT
ejpam-6281	768	12	2025	2025	NUM
ejpam-6281	768	13	)	)	PUNCT
ejpam-6281	768	14	,	,	PUNCT
ejpam-6281	768	15	6281	6281	NUM
ejpam-6281	768	16	30	30	NUM
ejpam-6281	768	17	of	of	ADP
ejpam-6281	768	18	35	35	NUM
ejpam-6281	768	19	γ31	γ31	NOUN
ejpam-6281	768	20	=	=	SYM
ejpam-6281	768	21	1	1	NUM
ejpam-6281	768	22	br10	br10	PROPN
ejpam-6281	768	23	{	{	PUNCT
ejpam-6281	768	24	a1(1	a1(1	PROPN
ejpam-6281	768	25	+	+	CCONJ
ejpam-6281	768	26	χδ)λ́2[d1	χδ)λ́2[d1	PROPN
ejpam-6281	768	27	−	−	PROPN
ejpam-6281	768	28	δ	δ	NOUN
ejpam-6281	768	29	+	+	NUM
ejpam-6281	768	30	δd2(1	δd2(1	NOUN
ejpam-6281	768	31	+	+	X
ejpam-6281	768	32	k	k	NOUN
ejpam-6281	768	33	)	)	PUNCT
ejpam-6281	768	34	]	]	PUNCT
ejpam-6281	769	1	+	+	PUNCT
ejpam-6281	769	2	a3[(1	a3[(1	X
ejpam-6281	769	3	+	+	ADJ
ejpam-6281	769	4	χδ)λ́2[d1χ	χδ)λ́2[d1χ	PROPN
ejpam-6281	769	5	−1−	−1−	PROPN
ejpam-6281	769	6	χδ	χδ	ADP
ejpam-6281	769	7	+	+	CCONJ
ejpam-6281	769	8	d2(1	d2(1	NOUN
ejpam-6281	769	9	+	+	CCONJ
ejpam-6281	769	10	χδ)(1	χδ)(1	PRON
ejpam-6281	769	11	+	+	CCONJ
ejpam-6281	769	12	k	k	NOUN
ejpam-6281	769	13	)	)	PUNCT
ejpam-6281	769	14	]	]	X
ejpam-6281	769	15	]	]	X
ejpam-6281	770	1	+	+	VERB
ejpam-6281	770	2	a1a3[(1	a1a3[(1	ADJ
ejpam-6281	770	3	+	+	CCONJ
ejpam-6281	770	4	χδ)λ́2[χ+	χδ)λ́2[χ+	ADJ
ejpam-6281	770	5	δ(1	δ(1	NOUN
ejpam-6281	770	6	+	+	CCONJ
ejpam-6281	770	7	χδ)(1	χδ)(1	PRON
ejpam-6281	770	8	+	+	CCONJ
ejpam-6281	770	9	k	k	NOUN
ejpam-6281	770	10	)	)	PUNCT
ejpam-6281	770	11	]	]	X
ejpam-6281	770	12	]	]	PUNCT
ejpam-6281	770	13	}	}	PUNCT
ejpam-6281	770	14	−	−	PROPN
ejpam-6281	770	15	a2	a2	PROPN
ejpam-6281	770	16	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	770	17	×[(1	×[(1	PROPN
ejpam-6281	770	18	+	+	CCONJ
ejpam-6281	770	19	χδ)λ́2	χδ)λ́2	PROPN
ejpam-6281	770	20	2	2	NUM
ejpam-6281	771	1	[	[	X
ejpam-6281	771	2	ρ2(1	ρ2(1	NOUN
ejpam-6281	771	3	+	+	SYM
ejpam-6281	771	4	χδ	χδ	ADJ
ejpam-6281	771	5	)	)	PUNCT
ejpam-6281	771	6	+	+	CCONJ
ejpam-6281	771	7	χδρ1	χδρ1	NOUN
ejpam-6281	771	8	+	+	CCONJ
ejpam-6281	771	9	δ2(1	δ2(1	NOUN
ejpam-6281	771	10	+	+	CCONJ
ejpam-6281	771	11	k)(1	k)(1	X
ejpam-6281	772	1	+	+	CCONJ
ejpam-6281	772	2	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	772	3	+	+	CCONJ
ejpam-6281	772	4	ρ2	ρ2	NOUN
ejpam-6281	772	5	)	)	PUNCT
ejpam-6281	773	1	]	]	X
ejpam-6281	773	2	]	]	PUNCT
ejpam-6281	773	3	,	,	PUNCT
ejpam-6281	773	4	γ32	γ32	NOUN
ejpam-6281	773	5	=	=	SYM
ejpam-6281	773	6	0	0	NUM
ejpam-6281	773	7	,	,	PUNCT
ejpam-6281	773	8	γ33	γ33	NOUN
ejpam-6281	773	9	=	=	SYM
ejpam-6281	773	10	0	0	NUM
ejpam-6281	773	11	,	,	PUNCT
ejpam-6281	773	12	γ34	γ34	NOUN
ejpam-6281	773	13	=	=	SYM
ejpam-6281	773	14	−	−	NOUN
ejpam-6281	773	15	λ́2	λ́2	ADV
ejpam-6281	774	1	br10	br10	PROPN
ejpam-6281	774	2	(	(	PUNCT
ejpam-6281	774	3	1	1	NUM
ejpam-6281	774	4	+	+	CCONJ
ejpam-6281	774	5	χδ)[d1	χδ)[d1	NOUN
ejpam-6281	774	6	+	+	CCONJ
ejpam-6281	774	7	δ(d2(1	δ(d2(1	NOUN
ejpam-6281	774	8	+	+	CCONJ
ejpam-6281	774	9	k)−	k)−	PROPN
ejpam-6281	774	10	1	1	NUM
ejpam-6281	774	11	)	)	PUNCT
ejpam-6281	774	12	]	]	PUNCT
ejpam-6281	774	13	,	,	PUNCT
ejpam-6281	774	14	γ35	γ35	NOUN
ejpam-6281	774	15	=	=	SYM
ejpam-6281	774	16	−	−	NOUN
ejpam-6281	774	17	λ́2	λ́2	ADV
ejpam-6281	774	18	br10	br10	PROPN
ejpam-6281	774	19	{	{	PUNCT
ejpam-6281	774	20	(	(	PUNCT
ejpam-6281	774	21	1	1	NUM
ejpam-6281	774	22	+	+	CCONJ
ejpam-6281	774	23	χδ)[d1χ+	χδ)[d1χ+	ADJ
ejpam-6281	774	24	(	(	PUNCT
ejpam-6281	774	25	1	1	NUM
ejpam-6281	774	26	+	+	NOUN
ejpam-6281	774	27	χδ)(d2(1	χδ)(d2(1	NOUN
ejpam-6281	774	28	+	+	CCONJ
ejpam-6281	774	29	k)−	k)−	PROPN
ejpam-6281	774	30	1	1	NUM
ejpam-6281	774	31	)	)	PUNCT
ejpam-6281	774	32	]	]	PUNCT
ejpam-6281	774	33	}	}	PUNCT
ejpam-6281	774	34	,	,	PUNCT
ejpam-6281	774	35	γ36	γ36	NOUN
ejpam-6281	774	36	=	=	SYM
ejpam-6281	774	37	−	−	NOUN
ejpam-6281	774	38	λ́2	λ́2	ADV
ejpam-6281	774	39	br10	br10	PROPN
ejpam-6281	774	40	(	(	PUNCT
ejpam-6281	774	41	1	1	NUM
ejpam-6281	774	42	+	+	NUM
ejpam-6281	774	43	χδ)[χ+	χδ)[χ+	PROPN
ejpam-6281	774	44	δ(1	δ(1	NOUN
ejpam-6281	774	45	+	+	CCONJ
ejpam-6281	774	46	k)(1	k)(1	X
ejpam-6281	774	47	+	+	CCONJ
ejpam-6281	774	48	χδ	χδ	PROPN
ejpam-6281	774	49	)	)	PUNCT
ejpam-6281	774	50	]	]	PUNCT
ejpam-6281	774	51	,	,	PUNCT
ejpam-6281	774	52	γ37	γ37	NOUN
ejpam-6281	774	53	=	=	SYM
ejpam-6281	774	54	−	−	NOUN
ejpam-6281	774	55	λ́2	λ́2	ADV
ejpam-6281	774	56	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	774	57	(	(	PUNCT
ejpam-6281	774	58	1	1	NUM
ejpam-6281	774	59	+	+	NUM
ejpam-6281	774	60	χδ){(1	χδ){(1	NOUN
ejpam-6281	774	61	+	+	CCONJ
ejpam-6281	774	62	χδ)[ρ2	χδ)[ρ2	PROPN
ejpam-6281	774	63	+	+	CCONJ
ejpam-6281	774	64	δ2(ρ1	δ2(ρ1	NOUN
ejpam-6281	774	65	+	+	CCONJ
ejpam-6281	774	66	ρ2)(1	ρ2)(1	NOUN
ejpam-6281	774	67	+	+	CCONJ
ejpam-6281	774	68	k	k	NOUN
ejpam-6281	774	69	)	)	PUNCT
ejpam-6281	774	70	]	]	PUNCT
ejpam-6281	775	1	+	+	CCONJ
ejpam-6281	775	2	χδρ1	χδρ1	NOUN
ejpam-6281	775	3	}	}	PUNCT
ejpam-6281	775	4	,	,	PUNCT
ejpam-6281	775	5	γ38	γ38	PROPN
ejpam-6281	775	6	=	=	PUNCT
ejpam-6281	775	7	−	−	NOUN
ejpam-6281	775	8	λ́2	λ́2	ADV
ejpam-6281	775	9	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	775	10	(	(	PUNCT
ejpam-6281	775	11	1	1	NUM
ejpam-6281	775	12	+	+	CCONJ
ejpam-6281	775	13	χδ){χ[ρ2(1	χδ){χ[ρ2(1	ADP
ejpam-6281	775	14	+	+	SYM
ejpam-6281	775	15	χδ	χδ	ADJ
ejpam-6281	775	16	)	)	PUNCT
ejpam-6281	775	17	+	+	CCONJ
ejpam-6281	775	18	χδρ1	χδρ1	NOUN
ejpam-6281	775	19	]	]	PUNCT
ejpam-6281	776	1	+	+	CCONJ
ejpam-6281	776	2	δ(1	δ(1	NOUN
ejpam-6281	776	3	+	+	CCONJ
ejpam-6281	776	4	k)(1	k)(1	X
ejpam-6281	776	5	+	+	CCONJ
ejpam-6281	776	6	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	776	7	+	+	CCONJ
ejpam-6281	776	8	ρ2	ρ2	NOUN
ejpam-6281	776	9	)	)	PUNCT
ejpam-6281	776	10	}	}	PUNCT
ejpam-6281	776	11	,	,	PUNCT
ejpam-6281	776	12	γ41	γ41	NOUN
ejpam-6281	776	13	=	=	NOUN
ejpam-6281	776	14	1	1	NUM
ejpam-6281	776	15	2d	2d	NUM
ejpam-6281	776	16	2	2	NUM
ejpam-6281	776	17	2[χd1	2[χd1	NOUN
ejpam-6281	776	18	+	+	CCONJ
ejpam-6281	776	19	(	(	PUNCT
ejpam-6281	776	20	1	1	NUM
ejpam-6281	776	21	+	+	CCONJ
ejpam-6281	776	22	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	776	23	kd2)]−	kd2)]−	PROPN
ejpam-6281	776	24	1	1	NUM
ejpam-6281	776	25	br10	br10	PROPN
ejpam-6281	776	26	{	{	PUNCT
ejpam-6281	776	27	a1[ad1(1	a1[ad1(1	ADJ
ejpam-6281	776	28	+	+	SYM
ejpam-6281	776	29	χδ)−	χδ)−	NOUN
ejpam-6281	776	30	χd2	χd2	NOUN
ejpam-6281	776	31	]	]	PUNCT
ejpam-6281	776	32	×[d1	×[d1	VERB
ejpam-6281	776	33	−	−	PROPN
ejpam-6281	776	34	δ	δ	NOUN
ejpam-6281	776	35	+	+	CCONJ
ejpam-6281	776	36	δd2(k	δd2(k	PROPN
ejpam-6281	776	37	+	+	CCONJ
ejpam-6281	776	38	1)]−a3[ad1(1	1)]−a3[ad1(1	NUM
ejpam-6281	776	39	+	+	CCONJ
ejpam-6281	776	40	χδ)−	χδ)−	NOUN
ejpam-6281	777	1	χd2][d1χ−	χd2][d1χ−	NOUN
ejpam-6281	777	2	1−	1−	NUM
ejpam-6281	777	3	χδ	χδ	ADV
ejpam-6281	777	4	+	+	CCONJ
ejpam-6281	777	5	d2(1	d2(1	NOUN
ejpam-6281	777	6	+	+	CCONJ
ejpam-6281	777	7	k)(1	k)(1	X
ejpam-6281	778	1	+	+	CCONJ
ejpam-6281	778	2	χδ	χδ	X
ejpam-6281	778	3	)	)	PUNCT
ejpam-6281	778	4	]	]	PUNCT
ejpam-6281	779	1	−a1a3[ad1(1	−a1a3[ad1(1	X
ejpam-6281	779	2	+	+	CCONJ
ejpam-6281	779	3	χδ)−	χδ)−	PUNCT
ejpam-6281	779	4	χd2][χ+	χd2][χ+	NOUN
ejpam-6281	779	5	δ(1	δ(1	NOUN
ejpam-6281	779	6	+	+	CCONJ
ejpam-6281	779	7	χδ)(1	χδ)(1	PRON
ejpam-6281	780	1	+	+	CCONJ
ejpam-6281	780	2	k)]}+	k)]}+	X
ejpam-6281	780	3	λ́2	λ́2	ADV
ejpam-6281	780	4	ρ1ρ2	ρ1ρ2	PROPN
ejpam-6281	780	5	{	{	PUNCT
ejpam-6281	780	6	a2	a2	PROPN
ejpam-6281	780	7	b	b	PROPN
ejpam-6281	781	1	[	[	X
ejpam-6281	781	2	ad1(1	ad1(1	NOUN
ejpam-6281	781	3	+	+	NOUN
ejpam-6281	781	4	χδ)−	χδ)−	X
ejpam-6281	781	5	χd2][ρ2(1	χd2][ρ2(1	NOUN
ejpam-6281	781	6	+	+	CCONJ
ejpam-6281	781	7	χδ	χδ	PROPN
ejpam-6281	781	8	)	)	PUNCT
ejpam-6281	782	1	+	+	CCONJ
ejpam-6281	782	2	χδρ1	χδρ1	NOUN
ejpam-6281	782	3	+	+	CCONJ
ejpam-6281	782	4	δ2(1	δ2(1	NOUN
ejpam-6281	782	5	+	+	CCONJ
ejpam-6281	782	6	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	782	7	+	+	CCONJ
ejpam-6281	782	8	ρ2)(1	ρ2)(1	NOUN
ejpam-6281	782	9	+	+	CCONJ
ejpam-6281	782	10	k	k	NOUN
ejpam-6281	782	11	)	)	PUNCT
ejpam-6281	782	12	]	]	PUNCT
ejpam-6281	783	1	+	+	CCONJ
ejpam-6281	783	2	1	1	NUM
ejpam-6281	783	3	2ρ1ρ2	2ρ1ρ2	NUM
ejpam-6281	783	4	δ2λ́21r	δ2λ́21r	NOUN
ejpam-6281	783	5	2	2	NUM
ejpam-6281	783	6	10(1	10(1	NUM
ejpam-6281	783	7	+	+	CCONJ
ejpam-6281	783	8	χδ)2	χδ)2	PROPN
ejpam-6281	783	9	×[χd1	×[χd1	NOUN
ejpam-6281	784	1	+	+	CCONJ
ejpam-6281	784	2	(	(	PUNCT
ejpam-6281	784	3	1	1	NUM
ejpam-6281	784	4	+	+	CCONJ
ejpam-6281	784	5	χδ)(1−	χδ)(1−	ADJ
ejpam-6281	784	6	kd2)](ρ1	kd2)](ρ1	PROPN
ejpam-6281	784	7	+	+	CCONJ
ejpam-6281	784	8	ρ2	ρ2	NOUN
ejpam-6281	784	9	)	)	PUNCT
ejpam-6281	784	10	2	2	NUM
ejpam-6281	784	11	}	}	PUNCT
ejpam-6281	784	12	,	,	PUNCT
ejpam-6281	784	13	γ42	γ42	PROPN
ejpam-6281	784	14	=	=	NOUN
ejpam-6281	784	15	1	1	NUM
ejpam-6281	784	16	2	2	NUM
ejpam-6281	785	1	[	[	X
ejpam-6281	785	2	χd1	χd1	NOUN
ejpam-6281	785	3	+	+	CCONJ
ejpam-6281	785	4	(	(	PUNCT
ejpam-6281	785	5	1	1	NUM
ejpam-6281	785	6	+	+	CCONJ
ejpam-6281	785	7	χδ)(1−	χδ)(1−	ADJ
ejpam-6281	785	8	kd2)]δ	kd2)]δ	NOUN
ejpam-6281	785	9	2	2	NUM
ejpam-6281	785	10	,	,	PUNCT
ejpam-6281	785	11	γ43	γ43	NOUN
ejpam-6281	785	12	=	=	SYM
ejpam-6281	785	13	1	1	NUM
ejpam-6281	785	14	2	2	NUM
ejpam-6281	785	15	[	[	X
ejpam-6281	785	16	χd1	χd1	NOUN
ejpam-6281	785	17	+	+	CCONJ
ejpam-6281	785	18	(	(	PUNCT
ejpam-6281	785	19	1	1	NUM
ejpam-6281	785	20	+	+	CCONJ
ejpam-6281	785	21	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	785	22	kd2)](1	kd2)](1	PROPN
ejpam-6281	786	1	+	+	CCONJ
ejpam-6281	786	2	χδ)2	χδ)2	ADJ
ejpam-6281	786	3	,	,	PUNCT
ejpam-6281	786	4	γ44	γ44	VERB
ejpam-6281	786	5	=	=	SYM
ejpam-6281	786	6	1	1	NUM
ejpam-6281	786	7	br10	br10	PROPN
ejpam-6281	786	8	{	{	PUNCT
ejpam-6281	786	9	[	[	NOUN
ejpam-6281	786	10	ad1(1	ad1(1	NOUN
ejpam-6281	786	11	+	+	CCONJ
ejpam-6281	786	12	χδ)−	χδ)−	NOUN
ejpam-6281	786	13	χd2][d1	χd2][d1	NOUN
ejpam-6281	786	14	+	+	CCONJ
ejpam-6281	786	15	δ(d2(k	δ(d2(k	PROPN
ejpam-6281	786	16	+	+	PROPN
ejpam-6281	786	17	1)−	1)−	PROPN
ejpam-6281	786	18	1)]}+	1)]}+	NUM
ejpam-6281	786	19	δ[χd1	δ[χd1	PROPN
ejpam-6281	786	20	+	+	CCONJ
ejpam-6281	786	21	(	(	PUNCT
ejpam-6281	786	22	1	1	NUM
ejpam-6281	786	23	+	+	CCONJ
ejpam-6281	786	24	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	786	25	kd2)]d2	kd2)]d2	PROPN
ejpam-6281	786	26	,	,	PUNCT
ejpam-6281	786	27	γ45	γ45	NOUN
ejpam-6281	786	28	=	=	SYM
ejpam-6281	786	29	1	1	NUM
ejpam-6281	786	30	br10	br10	PROPN
ejpam-6281	786	31	{	{	PUNCT
ejpam-6281	786	32	[	[	NOUN
ejpam-6281	786	33	ad1(1	ad1(1	NOUN
ejpam-6281	786	34	+	+	CCONJ
ejpam-6281	786	35	χδ)−	χδ)−	NOUN
ejpam-6281	786	36	χd2][d1χ+	χd2][d1χ+	NOUN
ejpam-6281	786	37	(	(	PUNCT
ejpam-6281	786	38	1	1	NUM
ejpam-6281	786	39	+	+	NUM
ejpam-6281	786	40	χδ)(d2(k	χδ)(d2(k	PROPN
ejpam-6281	786	41	+	+	PROPN
ejpam-6281	786	42	1)−	1)−	PROPN
ejpam-6281	786	43	1)]}+	1)]}+	NUM
ejpam-6281	786	44	(	(	PUNCT
ejpam-6281	786	45	1	1	NUM
ejpam-6281	786	46	+	+	CCONJ
ejpam-6281	786	47	χδ)[χd1	χδ)[χd1	VERB
ejpam-6281	786	48	+	+	NOUN
ejpam-6281	786	49	(	(	PUNCT
ejpam-6281	786	50	1	1	NUM
ejpam-6281	786	51	+	+	CCONJ
ejpam-6281	786	52	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	786	53	kd2)]d2	kd2)]d2	PROPN
ejpam-6281	786	54	,	,	PUNCT
ejpam-6281	786	55	γ46	γ46	ADJ
ejpam-6281	786	56	=	=	SYM
ejpam-6281	786	57	1	1	NUM
ejpam-6281	786	58	br10	br10	PROPN
ejpam-6281	786	59	{	{	PUNCT
ejpam-6281	786	60	[	[	NOUN
ejpam-6281	786	61	ad1(1	ad1(1	NOUN
ejpam-6281	786	62	+	+	CCONJ
ejpam-6281	786	63	χδ)−	χδ)−	PUNCT
ejpam-6281	786	64	χd2][χ+	χd2][χ+	NOUN
ejpam-6281	786	65	δ(1	δ(1	NOUN
ejpam-6281	786	66	+	+	CCONJ
ejpam-6281	786	67	χδ)(1	χδ)(1	PRON
ejpam-6281	786	68	+	+	CCONJ
ejpam-6281	786	69	k)]}+	k)]}+	PROPN
ejpam-6281	786	70	δ(1	δ(1	PROPN
ejpam-6281	786	71	+	+	CCONJ
ejpam-6281	786	72	χδ)[χd1	χδ)[χd1	VERB
ejpam-6281	786	73	+	+	CCONJ
ejpam-6281	786	74	(	(	PUNCT
ejpam-6281	786	75	1	1	NUM
ejpam-6281	786	76	+	+	CCONJ
ejpam-6281	786	77	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	786	78	kd2	kd2	PROPN
ejpam-6281	786	79	)	)	PUNCT
ejpam-6281	786	80	]	]	PUNCT
ejpam-6281	786	81	,	,	PUNCT
ejpam-6281	786	82	γ47	γ47	NOUN
ejpam-6281	786	83	=	=	X
ejpam-6281	786	84	λ́2	λ́2	ADV
ejpam-6281	786	85	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	786	86	{	{	PUNCT
ejpam-6281	786	87	[	[	NOUN
ejpam-6281	786	88	ad1(1	ad1(1	NOUN
ejpam-6281	786	89	+	+	CCONJ
ejpam-6281	786	90	χδ)−	χδ)−	NOUN
ejpam-6281	786	91	χd2][(1	χd2][(1	X
ejpam-6281	786	92	+	+	NUM
ejpam-6281	786	93	χδ)(ρ2	χδ)(ρ2	X
ejpam-6281	786	94	+	+	CCONJ
ejpam-6281	786	95	δ2(1	δ2(1	NOUN
ejpam-6281	786	96	+	+	CCONJ
ejpam-6281	786	97	k)(ρ1	k)(ρ1	PROPN
ejpam-6281	786	98	+	+	CCONJ
ejpam-6281	786	99	ρ2	ρ2	NOUN
ejpam-6281	786	100	)	)	PUNCT
ejpam-6281	786	101	)	)	PUNCT
ejpam-6281	787	1	+	+	CCONJ
ejpam-6281	787	2	χδρ1	χδρ1	NOUN
ejpam-6281	787	3	]	]	PUNCT
ejpam-6281	788	1	+	+	PUNCT
ejpam-6281	788	2	δ2(1	δ2(1	NOUN
ejpam-6281	788	3	+	+	CCONJ
ejpam-6281	788	4	k)br10(1	k)br10(1	ADJ
ejpam-6281	788	5	+	+	CCONJ
ejpam-6281	788	6	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	788	7	+	+	CCONJ
ejpam-6281	788	8	ρ2	ρ2	NOUN
ejpam-6281	788	9	)	)	PUNCT
ejpam-6281	788	10	+	+	CCONJ
ejpam-6281	789	1	[	[	X
ejpam-6281	789	2	d1χ+	d1χ+	NOUN
ejpam-6281	789	3	(	(	PUNCT
ejpam-6281	789	4	1	1	NUM
ejpam-6281	789	5	+	+	CCONJ
ejpam-6281	789	6	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	789	7	k)d2	k)d2	PROPN
ejpam-6281	789	8	]	]	PUNCT
ejpam-6281	789	9	}	}	PUNCT
ejpam-6281	789	10	,	,	PUNCT
ejpam-6281	789	11	γ48	γ48	ADJ
ejpam-6281	789	12	=	=	PUNCT
ejpam-6281	789	13	λ́2	λ́2	ADV
ejpam-6281	789	14	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	789	15	{	{	PUNCT
ejpam-6281	789	16	[	[	NOUN
ejpam-6281	789	17	ad1(1	ad1(1	NOUN
ejpam-6281	789	18	+	+	CCONJ
ejpam-6281	789	19	χδ)−	χδ)−	NOUN
ejpam-6281	789	20	χd2]{χ[ρ2(1	χd2]{χ[ρ2(1	NOUN
ejpam-6281	789	21	+	+	SYM
ejpam-6281	789	22	χδ	χδ	PROPN
ejpam-6281	789	23	)	)	PUNCT
ejpam-6281	789	24	+	+	CCONJ
ejpam-6281	789	25	δχρ1	δχρ1	PROPN
ejpam-6281	789	26	]	]	PUNCT
ejpam-6281	789	27	+	+	CCONJ
ejpam-6281	789	28	δ(1	δ(1	NOUN
ejpam-6281	789	29	+	+	CCONJ
ejpam-6281	789	30	χδ)2(ρ1	χδ)2(ρ1	NOUN
ejpam-6281	789	31	+	+	CCONJ
ejpam-6281	789	32	ρ2(1	ρ2(1	NOUN
ejpam-6281	789	33	+	+	CCONJ
ejpam-6281	789	34	k	k	NOUN
ejpam-6281	789	35	)	)	PUNCT
ejpam-6281	789	36	)	)	PUNCT
ejpam-6281	790	1	+	+	ADP
ejpam-6281	790	2	δbr10(1	δbr10(1	ADJ
ejpam-6281	790	3	+	+	NUM
ejpam-6281	790	4	χδ)2(ρ1	χδ)2(ρ1	NOUN
ejpam-6281	790	5	+	+	CCONJ
ejpam-6281	790	6	ρ2)[χd1	ρ2)[χd1	NUM
ejpam-6281	790	7	+	+	CCONJ
ejpam-6281	790	8	(	(	PUNCT
ejpam-6281	790	9	1	1	NUM
ejpam-6281	790	10	+	+	CCONJ
ejpam-6281	790	11	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	790	12	kd2	kd2	PROPN
ejpam-6281	790	13	)	)	PUNCT
ejpam-6281	790	14	]	]	PUNCT
ejpam-6281	790	15	}	}	PUNCT
ejpam-6281	790	16	,	,	PUNCT
ejpam-6281	790	17	γ51	γ51	NUM
ejpam-6281	790	18	=	=	SYM
ejpam-6281	790	19	1	1	NUM
ejpam-6281	790	20	2d	2d	NUM
ejpam-6281	790	21	2	2	NUM
ejpam-6281	790	22	2(1−	2(1−	NUM
ejpam-6281	790	23	δ2k	δ2k	NUM
ejpam-6281	790	24	)	)	PUNCT
ejpam-6281	790	25	+	+	CCONJ
ejpam-6281	790	26	δ	δ	PROPN
ejpam-6281	790	27	r10	r10	NOUN
ejpam-6281	790	28	{	{	PUNCT
ejpam-6281	790	29	a1[(d1	a1[(d1	NOUN
ejpam-6281	790	30	+	+	PROPN
ejpam-6281	790	31	δ((1	δ((1	PROPN
ejpam-6281	790	32	+	+	CCONJ
ejpam-6281	790	33	k)d2	k)d2	PROPN
ejpam-6281	790	34	−	−	PROPN
ejpam-6281	790	35	1	1	NUM
ejpam-6281	790	36	)	)	PUNCT
ejpam-6281	790	37	]	]	PUNCT
ejpam-6281	791	1	+	+	ADP
ejpam-6281	791	2	a3[(d1χ−	a3[(d1χ−	NOUN
ejpam-6281	791	3	1−	1−	NUM
ejpam-6281	791	4	χδ	χδ	NOUN
ejpam-6281	791	5	)	)	PUNCT
ejpam-6281	791	6	+	+	CCONJ
ejpam-6281	791	7	(	(	PUNCT
ejpam-6281	791	8	1	1	NUM
ejpam-6281	791	9	+	+	NUM
ejpam-6281	791	10	k)(1	k)(1	X
ejpam-6281	791	11	+	+	CCONJ
ejpam-6281	791	12	χδ)d2	χδ)d2	PROPN
ejpam-6281	791	13	]	]	PUNCT
ejpam-6281	791	14	+	+	ADJ
ejpam-6281	791	15	a1a3[χ+	a1a3[χ+	PROPN
ejpam-6281	791	16	(	(	PUNCT
ejpam-6281	791	17	1	1	NUM
ejpam-6281	791	18	+	+	NUM
ejpam-6281	791	19	χδ)δ(1	χδ)δ(1	NOUN
ejpam-6281	791	20	+	+	CCONJ
ejpam-6281	791	21	k	k	NOUN
ejpam-6281	791	22	)	)	PUNCT
ejpam-6281	791	23	]	]	PUNCT
ejpam-6281	791	24	}	}	PUNCT
ejpam-6281	791	25	−	−	PUNCT
ejpam-6281	791	26	λ́2δ	λ́2δ	ADV
ejpam-6281	791	27	ρ1ρ2	ρ1ρ2	PUNCT
ejpam-6281	791	28	{	{	PUNCT
ejpam-6281	791	29	a2[ρ2(1	a2[ρ2(1	NOUN
ejpam-6281	791	30	+	+	CCONJ
ejpam-6281	791	31	χδ	χδ	PROPN
ejpam-6281	791	32	)	)	PUNCT
ejpam-6281	791	33	+	+	CCONJ
ejpam-6281	791	34	χδρ1	χδρ1	NOUN
ejpam-6281	791	35	+	+	CCONJ
ejpam-6281	791	36	δ2(1	δ2(1	NOUN
ejpam-6281	791	37	+	+	CCONJ
ejpam-6281	791	38	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	791	39	+	+	X
ejpam-6281	791	40	ρ2)(k	ρ2)(k	NUM
ejpam-6281	791	41	+	+	CCONJ
ejpam-6281	791	42	1	1	NUM
ejpam-6281	791	43	)	)	PUNCT
ejpam-6281	791	44	]	]	PUNCT
ejpam-6281	792	1	+	+	CCONJ
ejpam-6281	792	2	1	1	NUM
ejpam-6281	792	3	2ρ1ρ2	2ρ1ρ2	NOUN
ejpam-6281	792	4	δr210λ́	δr210λ́	ADP
ejpam-6281	792	5	2	2	NUM
ejpam-6281	792	6	2(1	2(1	NUM
ejpam-6281	792	7	+	+	CCONJ
ejpam-6281	792	8	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	792	9	+	+	CCONJ
ejpam-6281	792	10	ρ2	ρ2	NOUN
ejpam-6281	792	11	)	)	PUNCT
ejpam-6281	792	12	2(1−	2(1−	X
ejpam-6281	792	13	kδ2	kδ2	NOUN
ejpam-6281	792	14	)	)	PUNCT
ejpam-6281	792	15	}	}	PUNCT
ejpam-6281	792	16	,	,	PUNCT
ejpam-6281	792	17	γ52	γ52	NOUN
ejpam-6281	792	18	=	=	SYM
ejpam-6281	792	19	1	1	NUM
ejpam-6281	792	20	2δ	2δ	NUM
ejpam-6281	792	21	2(1−	2(1−	NUM
ejpam-6281	792	22	kδ2	kδ2	NOUN
ejpam-6281	792	23	)	)	PUNCT
ejpam-6281	792	24	,	,	PUNCT
ejpam-6281	792	25	t.	t.	PROPN
ejpam-6281	792	26	s.	s.	PROPN
ejpam-6281	792	27	amer	amer	PROPN
ejpam-6281	792	28	et	et	PROPN
ejpam-6281	792	29	al	al	PROPN
ejpam-6281	792	30	.	.	PUNCT
ejpam-6281	792	31	/	/	SYM
ejpam-6281	792	32	eur	eur	PROPN
ejpam-6281	792	33	.	.	PUNCT
ejpam-6281	793	1	j.	j.	PROPN
ejpam-6281	793	2	pure	pure	PROPN
ejpam-6281	793	3	appl	appl	PROPN
ejpam-6281	793	4	.	.	PROPN
ejpam-6281	793	5	math	math	PROPN
ejpam-6281	793	6	,	,	PUNCT
ejpam-6281	793	7	18	18	NUM
ejpam-6281	793	8	(	(	PUNCT
ejpam-6281	793	9	3	3	NUM
ejpam-6281	793	10	)	)	PUNCT
ejpam-6281	793	11	(	(	PUNCT
ejpam-6281	793	12	2025	2025	NUM
ejpam-6281	793	13	)	)	PUNCT
ejpam-6281	793	14	,	,	PUNCT
ejpam-6281	793	15	6281	6281	NUM
ejpam-6281	793	16	31	31	NUM
ejpam-6281	793	17	of	of	ADP
ejpam-6281	793	18	35	35	NUM
ejpam-6281	793	19	γ53	γ53	NOUN
ejpam-6281	793	20	=	=	SYM
ejpam-6281	793	21	1	1	NUM
ejpam-6281	793	22	2(1	2(1	NUM
ejpam-6281	793	23	+	+	CCONJ
ejpam-6281	793	24	χδ)2(1−	χδ)2(1−	PROPN
ejpam-6281	793	25	kδ2	kδ2	NOUN
ejpam-6281	793	26	)	)	PUNCT
ejpam-6281	793	27	,	,	PUNCT
ejpam-6281	793	28	γ54	γ54	PROPN
ejpam-6281	793	29	=	=	SYM
ejpam-6281	793	30	δ	δ	PROPN
ejpam-6281	793	31	r10	r10	NOUN
ejpam-6281	794	1	[	[	X
ejpam-6281	794	2	d2(r10(1−	d2(r10(1−	ADJ
ejpam-6281	794	3	kδ2)−	kδ2)−	ADJ
ejpam-6281	794	4	δ(k	δ(k	NOUN
ejpam-6281	794	5	+	+	CCONJ
ejpam-6281	794	6	1	1	NUM
ejpam-6281	794	7	)	)	PUNCT
ejpam-6281	794	8	)	)	PUNCT
ejpam-6281	795	1	+	+	CCONJ
ejpam-6281	795	2	δ	δ	NOUN
ejpam-6281	795	3	−	−	NOUN
ejpam-6281	795	4	d1	d1	PROPN
ejpam-6281	795	5	]	]	PUNCT
ejpam-6281	795	6	,	,	PUNCT
ejpam-6281	795	7	γ55	γ55	NOUN
ejpam-6281	795	8	=	=	SYM
ejpam-6281	795	9	d2(1	d2(1	NOUN
ejpam-6281	795	10	+	+	CCONJ
ejpam-6281	795	11	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	795	12	kδ2)−	kδ2)−	ADJ
ejpam-6281	795	13	δ	δ	PROPN
ejpam-6281	795	14	r10	r10	NOUN
ejpam-6281	796	1	[	[	X
ejpam-6281	796	2	(	(	PUNCT
ejpam-6281	796	3	1	1	NUM
ejpam-6281	796	4	+	+	NOUN
ejpam-6281	796	5	χδ)(d2(1	χδ)(d2(1	SYM
ejpam-6281	796	6	+	+	CCONJ
ejpam-6281	796	7	k	k	X
ejpam-6281	796	8	)	)	PUNCT
ejpam-6281	796	9	+	+	PROPN
ejpam-6281	797	1	1)−	1)−	NUM
ejpam-6281	797	2	d1χ	d1χ	PROPN
ejpam-6281	797	3	]	]	X
ejpam-6281	797	4	,	,	PUNCT
ejpam-6281	797	5	γ56	γ56	PROPN
ejpam-6281	797	6	=	=	SYM
ejpam-6281	797	7	δ	δ	PROPN
ejpam-6281	797	8	r10	r10	NOUN
ejpam-6281	798	1	[	[	X
ejpam-6281	798	2	(	(	PUNCT
ejpam-6281	798	3	1	1	NUM
ejpam-6281	798	4	+	+	CCONJ
ejpam-6281	798	5	χδ)(1−	χδ)(1−	ADJ
ejpam-6281	798	6	δ(1	δ(1	NOUN
ejpam-6281	798	7	+	+	CCONJ
ejpam-6281	798	8	k))−	k))−	NOUN
ejpam-6281	798	9	χ	χ	NOUN
ejpam-6281	798	10	]	]	X
ejpam-6281	798	11	+	+	CCONJ
ejpam-6281	798	12	δ(1	δ(1	NOUN
ejpam-6281	798	13	+	+	CCONJ
ejpam-6281	798	14	χδ)(1−	χδ)(1−	PROPN
ejpam-6281	798	15	kδ2	kδ2	PROPN
ejpam-6281	798	16	)	)	PUNCT
ejpam-6281	798	17	,	,	PUNCT
ejpam-6281	798	18	γ57	γ57	PROPN
ejpam-6281	798	19	=	=	SYM
ejpam-6281	798	20	λ́2δ	λ́2δ	ADV
ejpam-6281	798	21	ρ1ρ2	ρ1ρ2	PUNCT
ejpam-6281	798	22	{	{	PUNCT
ejpam-6281	798	23	[	[	X
ejpam-6281	798	24	ρ2(1	ρ2(1	NOUN
ejpam-6281	798	25	+	+	SYM
ejpam-6281	798	26	χδ	χδ	X
ejpam-6281	798	27	)	)	PUNCT
ejpam-6281	798	28	+	+	CCONJ
ejpam-6281	798	29	χρ1	χρ1	X
ejpam-6281	798	30	+	+	X
ejpam-6281	798	31	δ(ρ1	δ(ρ1	ADJ
ejpam-6281	798	32	+	+	NUM
ejpam-6281	798	33	ρ2)(1	ρ2)(1	NOUN
ejpam-6281	798	34	+	+	CCONJ
ejpam-6281	798	35	χδ)(k	χδ)(k	PROPN
ejpam-6281	798	36	+	+	CCONJ
ejpam-6281	798	37	1	1	NUM
ejpam-6281	798	38	)	)	PUNCT
ejpam-6281	798	39	]	]	PUNCT
ejpam-6281	798	40	]	]	PUNCT
ejpam-6281	799	1	+	+	CCONJ
ejpam-6281	799	2	δr10(1	δr10(1	ADJ
ejpam-6281	799	3	+	+	CCONJ
ejpam-6281	799	4	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	799	5	+	+	CCONJ
ejpam-6281	799	6	ρ2)(1−	ρ2)(1−	ADJ
ejpam-6281	799	7	kδ2	kδ2	NOUN
ejpam-6281	799	8	)	)	PUNCT
ejpam-6281	799	9	}	}	PUNCT
ejpam-6281	799	10	,	,	PUNCT
ejpam-6281	799	11	γ58	γ58	PROPN
ejpam-6281	799	12	=	=	SYM
ejpam-6281	799	13	λ́2δ	λ́2δ	ADV
ejpam-6281	799	14	ρ1ρ2	ρ1ρ2	NUM
ejpam-6281	799	15	(	(	PUNCT
ejpam-6281	799	16	ρ1	ρ1	NOUN
ejpam-6281	799	17	+	+	CCONJ
ejpam-6281	799	18	ρ2){δr10(1−	ρ2){δr10(1−	NUM
ejpam-6281	799	19	kδ2)(1	kδ2)(1	NOUN
ejpam-6281	800	1	+	+	CCONJ
ejpam-6281	801	1	χδ)2	χδ)2	PROPN
ejpam-6281	801	2	−	−	PROPN
ejpam-6281	802	1	[	[	X
ejpam-6281	802	2	(	(	PUNCT
ejpam-6281	802	3	1	1	NUM
ejpam-6281	802	4	+	+	NUM
ejpam-6281	802	5	χδ)2(1	χδ)2(1	NOUN
ejpam-6281	802	6	+	+	X
ejpam-6281	802	7	k	k	NOUN
ejpam-6281	802	8	)	)	PUNCT
ejpam-6281	803	1	+	+	NUM
ejpam-6281	803	2	χδ[ρ2(1	χδ[ρ2(1	NUM
ejpam-6281	803	3	+	+	CCONJ
ejpam-6281	803	4	χδ	χδ	ADJ
ejpam-6281	803	5	)	)	PUNCT
ejpam-6281	803	6	+	+	CCONJ
ejpam-6281	803	7	χδρ1	χδρ1	PROPN
ejpam-6281	803	8	]	]	X
ejpam-6281	803	9	]	]	PUNCT
ejpam-6281	803	10	}	}	PUNCT
ejpam-6281	803	11	,	,	PUNCT
ejpam-6281	803	12	γ61	γ61	NOUN
ejpam-6281	803	13	=	=	SYM
ejpam-6281	803	14	1	1	NUM
ejpam-6281	803	15	br10	br10	PROPN
ejpam-6281	803	16	{	{	PUNCT
ejpam-6281	803	17	[	[	X
ejpam-6281	803	18	d1	d1	NOUN
ejpam-6281	803	19	+	+	CCONJ
ejpam-6281	803	20	δ(d2(k	δ(d2(k	PROPN
ejpam-6281	803	21	+	+	PROPN
ejpam-6281	803	22	1)−	1)−	PROPN
ejpam-6281	803	23	1)](1	1)](1	NUM
ejpam-6281	803	24	+	+	CCONJ
ejpam-6281	803	25	bχδ)a1	bχδ)a1	PROPN
ejpam-6281	803	26	+	+	CCONJ
ejpam-6281	803	27	(	(	PUNCT
ejpam-6281	803	28	1	1	NUM
ejpam-6281	803	29	+	+	CCONJ
ejpam-6281	803	30	bχδ)[(1	bχδ)[(1	PROPN
ejpam-6281	803	31	+	+	CCONJ
ejpam-6281	803	32	χδ)(d2(k	χδ)(d2(k	PROPN
ejpam-6281	803	33	+	+	PROPN
ejpam-6281	803	34	1)−	1)−	PROPN
ejpam-6281	803	35	1	1	NUM
ejpam-6281	803	36	)	)	PUNCT
ejpam-6281	803	37	+	+	X
ejpam-6281	804	1	d1χ]a3	d1χ]a3	ADJ
ejpam-6281	804	2	+	+	ADJ
ejpam-6281	804	3	(	(	PUNCT
ejpam-6281	804	4	1	1	NUM
ejpam-6281	804	5	+	+	CCONJ
ejpam-6281	804	6	bχδ)[χ+	bχδ)[χ+	PROPN
ejpam-6281	804	7	δ(k	δ(k	NOUN
ejpam-6281	804	8	+	+	CCONJ
ejpam-6281	804	9	1)(1	1)(1	NUM
ejpam-6281	804	10	+	+	CCONJ
ejpam-6281	804	11	χδ)]a1a3	χδ)]a1a3	NOUN
ejpam-6281	804	12	}	}	PUNCT
ejpam-6281	804	13	+	+	CCONJ
ejpam-6281	804	14	d22	d22	NOUN
ejpam-6281	804	15	2	2	NUM
ejpam-6281	804	16	(	(	PUNCT
ejpam-6281	804	17	χ−	χ−	PROPN
ejpam-6281	804	18	kδ(1	kδ(1	PROPN
ejpam-6281	804	19	+	+	CCONJ
ejpam-6281	804	20	δχ))−	δχ))−	NOUN
ejpam-6281	804	21	λ́2	λ́2	ADV
ejpam-6281	804	22	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	804	23	(	(	PUNCT
ejpam-6281	804	24	1	1	NUM
ejpam-6281	804	25	+	+	NUM
ejpam-6281	804	26	bχδ)[ρ2(1	bχδ)[ρ2(1	NOUN
ejpam-6281	804	27	+	+	CCONJ
ejpam-6281	804	28	χδ	χδ	PROPN
ejpam-6281	804	29	)	)	PUNCT
ejpam-6281	804	30	+	+	CCONJ
ejpam-6281	804	31	χδρ1	χδρ1	NOUN
ejpam-6281	804	32	+	+	CCONJ
ejpam-6281	804	33	(	(	PUNCT
ejpam-6281	804	34	ρ1	ρ1	NOUN
ejpam-6281	804	35	+	+	CCONJ
ejpam-6281	804	36	ρ2	ρ2	NOUN
ejpam-6281	804	37	)	)	PUNCT
ejpam-6281	804	38	×δ2(1	×δ2(1	PUNCT
ejpam-6281	805	1	+	+	NUM
ejpam-6281	805	2	χδ)(k	χδ)(k	NOUN
ejpam-6281	805	3	+	+	CCONJ
ejpam-6281	805	4	1)]a3	1)]a3	NUM
ejpam-6281	806	1	+	+	CCONJ
ejpam-6281	806	2	δ2	δ2	VERB
ejpam-6281	806	3	2	2	NUM
ejpam-6281	806	4	(	(	PUNCT
ejpam-6281	806	5	χ−	χ−	PROPN
ejpam-6281	806	6	kδ(1	kδ(1	PROPN
ejpam-6281	806	7	+	+	CCONJ
ejpam-6281	806	8	χδ	χδ	PROPN
ejpam-6281	806	9	)	)	PUNCT
ejpam-6281	806	10	)	)	PUNCT
ejpam-6281	806	11	(	(	PUNCT
ejpam-6281	806	12	λ́2a2r10	λ́2a2r10	PUNCT
ejpam-6281	806	13	ρ1ρ2	ρ1ρ2	NUM
ejpam-6281	806	14	)	)	PUNCT
ejpam-6281	806	15	2(1	2(1	NUM
ejpam-6281	806	16	+	+	CCONJ
ejpam-6281	806	17	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	806	18	+	+	CCONJ
ejpam-6281	806	19	ρ2	ρ2	NOUN
ejpam-6281	806	20	)	)	PUNCT
ejpam-6281	806	21	2	2	NUM
ejpam-6281	806	22	]	]	PUNCT
ejpam-6281	806	23	,	,	PUNCT
ejpam-6281	806	24	γ62	γ62	NOUN
ejpam-6281	806	25	=	=	SYM
ejpam-6281	806	26	δ2	δ2	VERB
ejpam-6281	806	27	2	2	NUM
ejpam-6281	806	28	(	(	PUNCT
ejpam-6281	806	29	χ−	χ−	PROPN
ejpam-6281	806	30	kδ(1	kδ(1	PROPN
ejpam-6281	806	31	+	+	CCONJ
ejpam-6281	806	32	χδ	χδ	PROPN
ejpam-6281	806	33	)	)	PUNCT
ejpam-6281	806	34	)	)	PUNCT
ejpam-6281	806	35	,	,	PUNCT
ejpam-6281	806	36	γ63	γ63	NOUN
ejpam-6281	806	37	=	=	SYM
ejpam-6281	806	38	(	(	PUNCT
ejpam-6281	806	39	1+χδ)2	1+χδ)2	NUM
ejpam-6281	806	40	2	2	NUM
ejpam-6281	806	41	(	(	PUNCT
ejpam-6281	806	42	χ−	χ−	PROPN
ejpam-6281	806	43	kδ(1	kδ(1	PROPN
ejpam-6281	806	44	+	+	CCONJ
ejpam-6281	806	45	χδ	χδ	PROPN
ejpam-6281	806	46	)	)	PUNCT
ejpam-6281	806	47	)	)	PUNCT
ejpam-6281	806	48	,	,	PUNCT
ejpam-6281	806	49	γ64	γ64	NOUN
ejpam-6281	806	50	=	=	SYM
ejpam-6281	806	51	−	−	PROPN
ejpam-6281	806	52	1	1	NUM
ejpam-6281	806	53	br10	br10	PROPN
ejpam-6281	806	54	[	[	X
ejpam-6281	806	55	d1	d1	PROPN
ejpam-6281	806	56	−	−	ADP
ejpam-6281	806	57	δ(1−	δ(1−	ADJ
ejpam-6281	806	58	d2(1	d2(1	NOUN
ejpam-6281	806	59	+	+	CCONJ
ejpam-6281	806	60	k))](1	k))](1	PROPN
ejpam-6281	806	61	+	+	CCONJ
ejpam-6281	806	62	bχδ	bχδ	NOUN
ejpam-6281	806	63	)	)	PUNCT
ejpam-6281	806	64	+	+	NUM
ejpam-6281	806	65	δ(χ−	δ(χ−	NOUN
ejpam-6281	806	66	kδ(1	kδ(1	PROPN
ejpam-6281	806	67	+	+	CCONJ
ejpam-6281	806	68	χδ))d2	χδ))d2	PROPN
ejpam-6281	806	69	,	,	PUNCT
ejpam-6281	806	70	γ65	γ65	NOUN
ejpam-6281	806	71	=	=	SYM
ejpam-6281	806	72	−	−	PROPN
ejpam-6281	806	73	1	1	NUM
ejpam-6281	806	74	br10	br10	PROPN
ejpam-6281	806	75	(	(	PUNCT
ejpam-6281	806	76	1	1	NUM
ejpam-6281	806	77	+	+	CCONJ
ejpam-6281	806	78	bχδ)[(1	bχδ)[(1	PROPN
ejpam-6281	806	79	+	+	CCONJ
ejpam-6281	806	80	χδ)(d2(k	χδ)(d2(k	PROPN
ejpam-6281	806	81	+	+	PROPN
ejpam-6281	806	82	1)−	1)−	PROPN
ejpam-6281	806	83	1	1	NUM
ejpam-6281	806	84	)	)	PUNCT
ejpam-6281	806	85	+	+	X
ejpam-6281	806	86	χd1	χd1	NOUN
ejpam-6281	806	87	]	]	X
ejpam-6281	807	1	+	+	CCONJ
ejpam-6281	807	2	(	(	PUNCT
ejpam-6281	807	3	1	1	NUM
ejpam-6281	807	4	+	+	NOUN
ejpam-6281	807	5	χδ)(χ−	χδ)(χ−	VERB
ejpam-6281	807	6	kδ(1	kδ(1	PROPN
ejpam-6281	807	7	+	+	CCONJ
ejpam-6281	807	8	χδ)))d2	χδ)))d2	PROPN
ejpam-6281	807	9	,	,	PUNCT
ejpam-6281	807	10	γ66	γ66	NOUN
ejpam-6281	807	11	=	=	SYM
ejpam-6281	807	12	−	−	PROPN
ejpam-6281	807	13	1	1	NUM
ejpam-6281	808	1	br10	br10	PROPN
ejpam-6281	808	2	[	[	X
ejpam-6281	808	3	χ+	χ+	ADJ
ejpam-6281	808	4	δ(k	δ(k	ADJ
ejpam-6281	808	5	+	+	CCONJ
ejpam-6281	808	6	1)(1	1)(1	NUM
ejpam-6281	808	7	+	+	CCONJ
ejpam-6281	808	8	χδ)](1	χδ)](1	ADJ
ejpam-6281	808	9	+	+	CCONJ
ejpam-6281	808	10	bχδ	bχδ	NOUN
ejpam-6281	808	11	)	)	PUNCT
ejpam-6281	809	1	+	+	CCONJ
ejpam-6281	809	2	δ(1	δ(1	NOUN
ejpam-6281	809	3	+	+	CCONJ
ejpam-6281	809	4	χδ)(χ−	χδ)(χ−	VERB
ejpam-6281	809	5	kδ(1	kδ(1	PROPN
ejpam-6281	809	6	+	+	CCONJ
ejpam-6281	809	7	χδ	χδ	PROPN
ejpam-6281	809	8	)	)	PUNCT
ejpam-6281	809	9	)	)	PUNCT
ejpam-6281	809	10	,	,	PUNCT
ejpam-6281	809	11	γ67	γ67	NOUN
ejpam-6281	809	12	=	=	PUNCT
ejpam-6281	809	13	−	−	NOUN
ejpam-6281	809	14	λ́2	λ́2	ADV
ejpam-6281	809	15	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	809	16	{	{	PUNCT
ejpam-6281	809	17	(	(	PUNCT
ejpam-6281	809	18	1	1	NUM
ejpam-6281	809	19	+	+	NUM
ejpam-6281	809	20	bχδ)[ρ2(1	bχδ)[ρ2(1	NOUN
ejpam-6281	809	21	+	+	CCONJ
ejpam-6281	809	22	χδ	χδ	PROPN
ejpam-6281	809	23	)	)	PUNCT
ejpam-6281	809	24	+	+	CCONJ
ejpam-6281	809	25	χδρ1	χδρ1	NOUN
ejpam-6281	809	26	+	+	CCONJ
ejpam-6281	809	27	δ2(1	δ2(1	NOUN
ejpam-6281	809	28	+	+	CCONJ
ejpam-6281	809	29	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	809	30	+	+	X
ejpam-6281	809	31	ρ2)(k	ρ2)(k	NUM
ejpam-6281	810	1	+	+	CCONJ
ejpam-6281	810	2	1	1	NUM
ejpam-6281	810	3	)	)	PUNCT
ejpam-6281	810	4	]	]	PUNCT
ejpam-6281	811	1	−δ2br10(1	−δ2br10(1	X
ejpam-6281	811	2	+	+	CCONJ
ejpam-6281	811	3	χδ)(χ−	χδ)(χ−	VERB
ejpam-6281	811	4	kδ(1	kδ(1	PROPN
ejpam-6281	811	5	+	+	CCONJ
ejpam-6281	811	6	χδ))(ρ1	χδ))(ρ1	PROPN
ejpam-6281	811	7	+	+	CCONJ
ejpam-6281	811	8	ρ2	ρ2	NOUN
ejpam-6281	811	9	)	)	PUNCT
ejpam-6281	811	10	}	}	PUNCT
ejpam-6281	811	11	,	,	PUNCT
ejpam-6281	811	12	γ68	γ68	X
ejpam-6281	811	13	=	=	SYM
ejpam-6281	811	14	−	−	NOUN
ejpam-6281	811	15	λ́2	λ́2	ADV
ejpam-6281	811	16	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	811	17	{	{	PUNCT
ejpam-6281	811	18	χ(1	χ(1	PROPN
ejpam-6281	811	19	+	+	CCONJ
ejpam-6281	811	20	bχδ)[(ρ1	bχδ)[(ρ1	NOUN
ejpam-6281	812	1	+	+	CCONJ
ejpam-6281	812	2	ρ2)χδ	ρ2)χδ	ADJ
ejpam-6281	812	3	+	+	CCONJ
ejpam-6281	812	4	ρ2	ρ2	NOUN
ejpam-6281	812	5	]	]	PUNCT
ejpam-6281	813	1	+	+	CCONJ
ejpam-6281	813	2	δ(1	δ(1	NOUN
ejpam-6281	813	3	+	+	CCONJ
ejpam-6281	813	4	χδ)2(k	χδ)2(k	NOUN
ejpam-6281	813	5	+	+	CCONJ
ejpam-6281	813	6	1)(ρ1	1)(ρ1	PROPN
ejpam-6281	813	7	+	+	CCONJ
ejpam-6281	813	8	ρ2	ρ2	NOUN
ejpam-6281	813	9	)	)	PUNCT
ejpam-6281	813	10	]	]	PUNCT
ejpam-6281	814	1	+	+	PUNCT
ejpam-6281	814	2	δbr10(1	δbr10(1	NOUN
ejpam-6281	814	3	+	+	CCONJ
ejpam-6281	814	4	χδ)2(χ−	χδ)2(χ−	VERB
ejpam-6281	814	5	kδ(1	kδ(1	PROPN
ejpam-6281	814	6	+	+	CCONJ
ejpam-6281	814	7	χδ))(ρ1	χδ))(ρ1	PROPN
ejpam-6281	814	8	+	+	CCONJ
ejpam-6281	814	9	ρ2	ρ2	NOUN
ejpam-6281	814	10	)	)	PUNCT
ejpam-6281	814	11	}	}	PUNCT
ejpam-6281	814	12	,	,	PUNCT
ejpam-6281	814	13	γ71	γ71	NOUN
ejpam-6281	814	14	=	=	SYM
ejpam-6281	814	15	−	−	NOUN
ejpam-6281	814	16	δλ́2[d1−δ+δd2(k+1	δλ́2[d1−δ+δd2(k+1	NOUN
ejpam-6281	814	17	)	)	PUNCT
ejpam-6281	814	18	]	]	PUNCT
ejpam-6281	815	1	br10	br10	PROPN
ejpam-6281	815	2	a1	a1	NOUN
ejpam-6281	815	3	−	−	NOUN
ejpam-6281	815	4	δλ́2[d1χ−(1+χδ)(d2(1+k)−1	δλ́2[d1χ−(1+χδ)(d2(1+k)−1	NOUN
ejpam-6281	815	5	)	)	PUNCT
ejpam-6281	815	6	]	]	PUNCT
ejpam-6281	816	1	br10	br10	PROPN
ejpam-6281	816	2	a3	a3	NOUN
ejpam-6281	816	3	−	−	PROPN
ejpam-6281	816	4	δλ́2[χ+δ(1+k)(1+χδ	δλ́2[χ+δ(1+k)(1+χδ	NOUN
ejpam-6281	816	5	)	)	PUNCT
ejpam-6281	816	6	]	]	PUNCT
ejpam-6281	817	1	br10	br10	PROPN
ejpam-6281	817	2	a1a3	a1a3	PUNCT
ejpam-6281	817	3	+	+	CCONJ
ejpam-6281	817	4	δλ́2	δλ́2	PROPN
ejpam-6281	817	5	2	2	NUM
ejpam-6281	817	6	bρ1ρ2	bρ1ρ2	X
ejpam-6281	817	7	[	[	PUNCT
ejpam-6281	817	8	δχρ1	δχρ1	PROPN
ejpam-6281	817	9	+	+	CCONJ
ejpam-6281	817	10	(	(	PUNCT
ejpam-6281	817	11	1	1	NUM
ejpam-6281	817	12	+	+	CCONJ
ejpam-6281	817	13	χδ)ρ2	χδ)ρ2	NOUN
ejpam-6281	817	14	+	+	CCONJ
ejpam-6281	817	15	δ2	δ2	VERB
ejpam-6281	817	16	×(1	×(1	NOUN
ejpam-6281	817	17	+	+	CCONJ
ejpam-6281	817	18	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	817	19	+	+	X
ejpam-6281	817	20	ρ2)(k	ρ2)(k	PROPN
ejpam-6281	817	21	+	+	CCONJ
ejpam-6281	817	22	1)]a2	1)]a2	NUM
ejpam-6281	817	23	,	,	PUNCT
ejpam-6281	817	24	γ72	γ72	NOUN
ejpam-6281	817	25	=	=	SYM
ejpam-6281	817	26	0	0	NUM
ejpam-6281	817	27	,	,	PUNCT
ejpam-6281	817	28	γ73	γ73	ADP
ejpam-6281	817	29	=	=	SYM
ejpam-6281	817	30	0	0	NUM
ejpam-6281	817	31	,	,	PUNCT
ejpam-6281	817	32	γ74	γ74	VERB
ejpam-6281	817	33	=	=	SYM
ejpam-6281	817	34	δλ́2[(d1−δ)+δd2(k+1	δλ́2[(d1−δ)+δd2(k+1	PROPN
ejpam-6281	817	35	)	)	PUNCT
ejpam-6281	817	36	]	]	PUNCT
ejpam-6281	818	1	br10	br10	PROPN
ejpam-6281	818	2	,	,	PUNCT
ejpam-6281	818	3	γ75	γ75	NOUN
ejpam-6281	818	4	=	=	SYM
ejpam-6281	818	5	δλ́2[d2(1+χδ)(k+1)+(d1χ−(1+χδ	δλ́2[d2(1+χδ)(k+1)+(d1χ−(1+χδ	PROPN
ejpam-6281	818	6	)	)	PUNCT
ejpam-6281	818	7	)	)	PUNCT
ejpam-6281	818	8	]	]	PUNCT
ejpam-6281	819	1	br10	br10	PROPN
ejpam-6281	819	2	,	,	PUNCT
ejpam-6281	819	3	γ76	γ76	ADJ
ejpam-6281	819	4	=	=	SYM
ejpam-6281	819	5	δλ́2	δλ́2	PROPN
ejpam-6281	820	1	br10	br10	PROPN
ejpam-6281	820	2	[	[	X
ejpam-6281	820	3	χ+	χ+	ADP
ejpam-6281	820	4	δ(1	δ(1	PROPN
ejpam-6281	820	5	+	+	CCONJ
ejpam-6281	820	6	χδ)(k	χδ)(k	PROPN
ejpam-6281	820	7	+	+	CCONJ
ejpam-6281	820	8	1	1	NUM
ejpam-6281	820	9	)	)	PUNCT
ejpam-6281	820	10	]	]	PUNCT
ejpam-6281	820	11	,	,	PUNCT
ejpam-6281	820	12	γ77	γ77	VERB
ejpam-6281	820	13	=	=	SYM
ejpam-6281	820	14	δλ́2	δλ́2	PROPN
ejpam-6281	820	15	2	2	NUM
ejpam-6281	820	16	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	820	17	[	[	PUNCT
ejpam-6281	820	18	χδρ1	χδρ1	NOUN
ejpam-6281	820	19	+	+	CCONJ
ejpam-6281	820	20	ρ2(1	ρ2(1	NOUN
ejpam-6281	820	21	+	+	CCONJ
ejpam-6281	820	22	χδ	χδ	ADJ
ejpam-6281	820	23	)	)	PUNCT
ejpam-6281	820	24	+	+	NUM
ejpam-6281	820	25	δ2(1	δ2(1	NOUN
ejpam-6281	820	26	+	+	CCONJ
ejpam-6281	820	27	χδ)(k	χδ)(k	PROPN
ejpam-6281	820	28	+	+	CCONJ
ejpam-6281	821	1	1)(ρ1	1)(ρ1	PROPN
ejpam-6281	821	2	+	+	CCONJ
ejpam-6281	821	3	ρ2	ρ2	NOUN
ejpam-6281	821	4	)	)	PUNCT
ejpam-6281	821	5	]	]	PUNCT
ejpam-6281	821	6	,	,	PUNCT
ejpam-6281	821	7	γ78	γ78	NOUN
ejpam-6281	821	8	=	=	SYM
ejpam-6281	821	9	δλ́2	δλ́2	PROPN
ejpam-6281	821	10	2	2	NUM
ejpam-6281	821	11	bρ1ρ2	bρ1ρ2	X
ejpam-6281	821	12	{	{	PUNCT
ejpam-6281	821	13	χ[χδρ1	χ[χδρ1	VERB
ejpam-6281	821	14	+	+	NUM
ejpam-6281	821	15	ρ2(1	ρ2(1	NOUN
ejpam-6281	821	16	+	+	CCONJ
ejpam-6281	821	17	χδ	χδ	PROPN
ejpam-6281	821	18	)	)	PUNCT
ejpam-6281	821	19	]	]	PUNCT
ejpam-6281	822	1	+	+	CCONJ
ejpam-6281	822	2	δ(1	δ(1	NOUN
ejpam-6281	822	3	+	+	CCONJ
ejpam-6281	822	4	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	822	5	+	+	CCONJ
ejpam-6281	822	6	ρ2)(k	ρ2)(k	PROPN
ejpam-6281	822	7	+	+	CCONJ
ejpam-6281	822	8	1	1	NUM
ejpam-6281	822	9	)	)	PUNCT
ejpam-6281	822	10	}	}	PUNCT
ejpam-6281	822	11	,	,	PUNCT
ejpam-6281	822	12	t.	t.	PROPN
ejpam-6281	822	13	s.	s.	PROPN
ejpam-6281	822	14	amer	amer	PROPN
ejpam-6281	822	15	et	et	PROPN
ejpam-6281	822	16	al	al	PROPN
ejpam-6281	822	17	.	.	PUNCT
ejpam-6281	822	18	/	/	SYM
ejpam-6281	822	19	eur	eur	PROPN
ejpam-6281	822	20	.	.	PUNCT
ejpam-6281	823	1	j.	j.	PROPN
ejpam-6281	823	2	pure	pure	PROPN
ejpam-6281	823	3	appl	appl	PROPN
ejpam-6281	823	4	.	.	PROPN
ejpam-6281	823	5	math	math	PROPN
ejpam-6281	823	6	,	,	PUNCT
ejpam-6281	823	7	18	18	NUM
ejpam-6281	823	8	(	(	PUNCT
ejpam-6281	823	9	3	3	NUM
ejpam-6281	823	10	)	)	PUNCT
ejpam-6281	823	11	(	(	PUNCT
ejpam-6281	823	12	2025	2025	NUM
ejpam-6281	823	13	)	)	PUNCT
ejpam-6281	823	14	,	,	PUNCT
ejpam-6281	823	15	6281	6281	NUM
ejpam-6281	823	16	32	32	NUM
ejpam-6281	823	17	of	of	ADP
ejpam-6281	823	18	35	35	NUM
ejpam-6281	823	19	γ81	γ81	NOUN
ejpam-6281	823	20	=	=	PUNCT
ejpam-6281	823	21	−	−	PROPN
ejpam-6281	824	1	[	[	X
ejpam-6281	824	2	(	(	PUNCT
ejpam-6281	824	3	d1−δ)+δd2(k+1)][d2−δad1	d1−δ)+δd2(k+1)][d2−δad1	NOUN
ejpam-6281	824	4	)	)	PUNCT
ejpam-6281	824	5	]	]	PUNCT
ejpam-6281	825	1	br10	br10	PROPN
ejpam-6281	825	2	a1	a1	NOUN
ejpam-6281	825	3	−	−	PROPN
ejpam-6281	825	4	1	1	NUM
ejpam-6281	825	5	br10	br10	PROPN
ejpam-6281	825	6	[	[	X
ejpam-6281	825	7	(	(	PUNCT
ejpam-6281	825	8	d1χ−	d1χ−	NOUN
ejpam-6281	825	9	(	(	PUNCT
ejpam-6281	825	10	1	1	NUM
ejpam-6281	825	11	+	+	NUM
ejpam-6281	825	12	χδ	χδ	NOUN
ejpam-6281	825	13	)	)	PUNCT
ejpam-6281	825	14	)	)	PUNCT
ejpam-6281	826	1	+	+	NUM
ejpam-6281	826	2	d2(1	d2(1	NOUN
ejpam-6281	826	3	+	+	CCONJ
ejpam-6281	826	4	χδ)(k	χδ)(k	PROPN
ejpam-6281	827	1	+	+	CCONJ
ejpam-6281	827	2	1)][d2	1)][d2	NUM
ejpam-6281	827	3	−	−	NOUN
ejpam-6281	827	4	δad1]a3	δad1]a3	ADP
ejpam-6281	827	5	−	−	PROPN
ejpam-6281	827	6	1	1	NUM
ejpam-6281	827	7	2(d1	2(d1	NUM
ejpam-6281	827	8	+	+	CCONJ
ejpam-6281	827	9	δ(1−	δ(1−	ADJ
ejpam-6281	827	10	kd2))d	kd2))d	PROPN
ejpam-6281	827	11	2	2	NUM
ejpam-6281	827	12	2	2	NUM
ejpam-6281	827	13	+	+	CCONJ
ejpam-6281	827	14	[	[	X
ejpam-6281	827	15	χ+δ(1+χδ)(k+1)][d2−δad1	χ+δ(1+χδ)(k+1)][d2−δad1	NOUN
ejpam-6281	827	16	]	]	X
ejpam-6281	827	17	br10	br10	NOUN
ejpam-6281	827	18	a1a3	a1a3	PUNCT
ejpam-6281	827	19	+	+	PUNCT
ejpam-6281	827	20	λ́2	λ́2	ADV
ejpam-6281	827	21	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	827	22	[	[	X
ejpam-6281	827	23	χδρ1	χδρ1	NOUN
ejpam-6281	827	24	+	+	CCONJ
ejpam-6281	827	25	ρ2(1	ρ2(1	NOUN
ejpam-6281	827	26	+	+	CCONJ
ejpam-6281	827	27	χδ	χδ	X
ejpam-6281	827	28	)	)	PUNCT
ejpam-6281	827	29	+	+	CCONJ
ejpam-6281	827	30	δ2	δ2	VERB
ejpam-6281	827	31	×(1	×(1	NOUN
ejpam-6281	827	32	+	+	CCONJ
ejpam-6281	827	33	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	827	34	+	+	X
ejpam-6281	827	35	ρ2)(k	ρ2)(k	PROPN
ejpam-6281	828	1	+	+	CCONJ
ejpam-6281	828	2	1)][d2	1)][d2	NUM
ejpam-6281	828	3	−	−	NOUN
ejpam-6281	828	4	δad1]a2	δad1]a2	NOUN
ejpam-6281	828	5	−	−	NOUN
ejpam-6281	828	6	1	1	NUM
ejpam-6281	828	7	2	2	NUM
ejpam-6281	828	8	δ2λ́2	δ2λ́2	NOUN
ejpam-6281	828	9	2	2	NUM
ejpam-6281	828	10	r210(1+χδ)2	r210(1+χδ)2	NOUN
ejpam-6281	828	11	(	(	PUNCT
ejpam-6281	828	12	ρ1ρ2)2	ρ1ρ2)2	NOUN
ejpam-6281	828	13	(	(	PUNCT
ejpam-6281	828	14	d1	d1	PROPN
ejpam-6281	828	15	+	+	NOUN
ejpam-6281	828	16	δ(1−	δ(1−	ADJ
ejpam-6281	828	17	kd2))(ρ1	kd2))(ρ1	PROPN
ejpam-6281	828	18	+	+	CCONJ
ejpam-6281	828	19	ρ2	ρ2	NOUN
ejpam-6281	828	20	)	)	PUNCT
ejpam-6281	828	21	2	2	NUM
ejpam-6281	828	22	,	,	PUNCT
ejpam-6281	828	23	γ82	γ82	NOUN
ejpam-6281	828	24	=	=	SYM
ejpam-6281	828	25	−	−	PROPN
ejpam-6281	828	26	δ2	δ2	ADJ
ejpam-6281	828	27	2	2	NUM
ejpam-6281	828	28	(	(	PUNCT
ejpam-6281	828	29	d1	d1	NOUN
ejpam-6281	828	30	+	+	CCONJ
ejpam-6281	828	31	δ(1−	δ(1−	ADJ
ejpam-6281	828	32	kd2	kd2	NOUN
ejpam-6281	828	33	)	)	PUNCT
ejpam-6281	828	34	)	)	PUNCT
ejpam-6281	828	35	,	,	PUNCT
ejpam-6281	828	36	γ83	γ83	NOUN
ejpam-6281	828	37	=	=	SYM
ejpam-6281	828	38	−	−	PROPN
ejpam-6281	828	39	(	(	PUNCT
ejpam-6281	828	40	1+χδ)2	1+χδ)2	NUM
ejpam-6281	828	41	2	2	NUM
ejpam-6281	828	42	(	(	PUNCT
ejpam-6281	828	43	d1	d1	NOUN
ejpam-6281	828	44	+	+	CCONJ
ejpam-6281	828	45	δ(1−	δ(1−	ADJ
ejpam-6281	828	46	kd2	kd2	NOUN
ejpam-6281	828	47	)	)	PUNCT
ejpam-6281	828	48	)	)	PUNCT
ejpam-6281	828	49	,	,	PUNCT
ejpam-6281	828	50	γ84	γ84	NOUN
ejpam-6281	828	51	=	=	SYM
ejpam-6281	829	1	[	[	X
ejpam-6281	829	2	(	(	PUNCT
ejpam-6281	829	3	d1−δ)+δd2][d2−δ(ad1+λ́1	d1−δ)+δd2][d2−δ(ad1+λ́1	PROPN
ejpam-6281	829	4	)	)	PUNCT
ejpam-6281	829	5	]	]	PUNCT
ejpam-6281	830	1	br10	br10	PROPN
ejpam-6281	830	2	−	−	PROPN
ejpam-6281	830	3	δd2(d1	δd2(d1	NOUN
ejpam-6281	830	4	+	+	X
ejpam-6281	830	5	δ	δ	X
ejpam-6281	830	6	)	)	PUNCT
ejpam-6281	830	7	,	,	PUNCT
ejpam-6281	830	8	γ85	γ85	ADJ
ejpam-6281	830	9	=	=	SYM
ejpam-6281	830	10	1	1	NUM
ejpam-6281	830	11	br10	br10	PROPN
ejpam-6281	830	12	[	[	X
ejpam-6281	830	13	(	(	PUNCT
ejpam-6281	830	14	d1χ−	d1χ−	NOUN
ejpam-6281	830	15	(	(	PUNCT
ejpam-6281	830	16	1	1	NUM
ejpam-6281	830	17	+	+	NUM
ejpam-6281	830	18	χδ	χδ	NOUN
ejpam-6281	830	19	)	)	PUNCT
ejpam-6281	830	20	)	)	PUNCT
ejpam-6281	831	1	+	+	CCONJ
ejpam-6281	831	2	(	(	PUNCT
ejpam-6281	831	3	1	1	NUM
ejpam-6281	831	4	+	+	CCONJ
ejpam-6281	831	5	χδ)d2(k	χδ)d2(k	PROPN
ejpam-6281	831	6	+	+	CCONJ
ejpam-6281	831	7	1)][d2	1)][d2	NUM
ejpam-6281	831	8	−	−	NOUN
ejpam-6281	831	9	δad1]−	δad1]−	NOUN
ejpam-6281	831	10	d2(1	d2(1	NOUN
ejpam-6281	831	11	+	+	CCONJ
ejpam-6281	831	12	χδ	χδ	PROPN
ejpam-6281	831	13	)	)	PUNCT
ejpam-6281	831	14	×(d1	×(d1	NOUN
ejpam-6281	831	15	+	+	CCONJ
ejpam-6281	831	16	δ(1−	δ(1−	ADJ
ejpam-6281	831	17	kd2	kd2	NOUN
ejpam-6281	831	18	)	)	PUNCT
ejpam-6281	831	19	)	)	PUNCT
ejpam-6281	831	20	,	,	PUNCT
ejpam-6281	831	21	γ86	γ86	NOUN
ejpam-6281	832	1	=	=	PUNCT
ejpam-6281	833	1	[	[	X
ejpam-6281	833	2	χ+δ(k+1)(1+χδ)][d2−δad1	χ+δ(k+1)(1+χδ)][d2−δad1	X
ejpam-6281	833	3	]	]	X
ejpam-6281	833	4	br10	br10	PROPN
ejpam-6281	833	5	−	−	PROPN
ejpam-6281	833	6	δ(1	δ(1	PROPN
ejpam-6281	833	7	+	+	CCONJ
ejpam-6281	833	8	χδ)(d1	χδ)(d1	NOUN
ejpam-6281	833	9	+	+	CCONJ
ejpam-6281	833	10	δ(1−	δ(1−	ADJ
ejpam-6281	833	11	kd2	kd2	NOUN
ejpam-6281	833	12	)	)	PUNCT
ejpam-6281	833	13	)	)	PUNCT
ejpam-6281	833	14	,	,	PUNCT
ejpam-6281	833	15	γ87	γ87	NOUN
ejpam-6281	833	16	=	=	PUNCT
ejpam-6281	833	17	λ́2	λ́2	ADV
ejpam-6281	833	18	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	834	1	[	[	X
ejpam-6281	834	2	(	(	PUNCT
ejpam-6281	834	3	1	1	NUM
ejpam-6281	834	4	+	+	CCONJ
ejpam-6281	834	5	χδ)ρ2	χδ)ρ2	NOUN
ejpam-6281	834	6	+	+	CCONJ
ejpam-6281	834	7	χδρ1	χδρ1	NOUN
ejpam-6281	834	8	+	+	CCONJ
ejpam-6281	834	9	δ2(k	δ2(k	PROPN
ejpam-6281	834	10	+	+	CCONJ
ejpam-6281	834	11	1)(1	1)(1	NUM
ejpam-6281	834	12	+	+	CCONJ
ejpam-6281	834	13	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	834	14	+	+	CCONJ
ejpam-6281	834	15	ρ2)][d2	ρ2)][d2	NUM
ejpam-6281	834	16	−	−	PROPN
ejpam-6281	834	17	δad1	δad1	NOUN
ejpam-6281	834	18	]	]	PUNCT
ejpam-6281	834	19	−	−	PUNCT
ejpam-6281	834	20	δ2λ́2r10	δ2λ́2r10	CCONJ
ejpam-6281	834	21	ρ1ρ2	ρ1ρ2	PUNCT
ejpam-6281	834	22	(	(	PUNCT
ejpam-6281	834	23	1	1	NUM
ejpam-6281	834	24	+	+	CCONJ
ejpam-6281	834	25	χδ)(ρ1	χδ)(ρ1	ADJ
ejpam-6281	834	26	+	+	CCONJ
ejpam-6281	834	27	ρ2)(d1	ρ2)(d1	NUM
ejpam-6281	834	28	+	+	CCONJ
ejpam-6281	834	29	δ(1−	δ(1−	ADJ
ejpam-6281	834	30	kd2	kd2	NOUN
ejpam-6281	834	31	)	)	PUNCT
ejpam-6281	834	32	)	)	PUNCT
ejpam-6281	834	33	,	,	PUNCT
ejpam-6281	834	34	γ88	γ88	NOUN
ejpam-6281	834	35	=	=	PUNCT
ejpam-6281	834	36	λ́2	λ́2	ADV
ejpam-6281	834	37	bρ1ρ2	bρ1ρ2	PROPN
ejpam-6281	834	38	{	{	PUNCT
ejpam-6281	834	39	χ[ρ1χδ	χ[ρ1χδ	PROPN
ejpam-6281	834	40	+	+	CCONJ
ejpam-6281	834	41	(	(	PUNCT
ejpam-6281	834	42	1	1	NUM
ejpam-6281	834	43	+	+	CCONJ
ejpam-6281	834	44	χδ)ρ2	χδ)ρ2	NOUN
ejpam-6281	834	45	]	]	PUNCT
ejpam-6281	835	1	+	+	CCONJ
ejpam-6281	835	2	δ(1	δ(1	NOUN
ejpam-6281	835	3	+	+	CCONJ
ejpam-6281	835	4	χδ)2(ρ1	χδ)2(ρ1	PROPN
ejpam-6281	835	5	+	+	CCONJ
ejpam-6281	835	6	ρ2)(k	ρ2)(k	NOUN
ejpam-6281	836	1	+	+	CCONJ
ejpam-6281	836	2	1)}[d2	1)}[d2	NUM
ejpam-6281	836	3	−	−	PROPN
ejpam-6281	836	4	δad1	δad1	PROPN
ejpam-6281	836	5	]	]	PUNCT
ejpam-6281	836	6	−	−	PROPN
ejpam-6281	836	7	δλ́2r10(1+χδ)2	δλ́2r10(1+χδ)2	NOUN
ejpam-6281	836	8	ρ1ρ2	ρ1ρ2	NOUN
ejpam-6281	836	9	(	(	PUNCT
ejpam-6281	836	10	ρ1	ρ1	NOUN
ejpam-6281	836	11	+	+	CCONJ
ejpam-6281	836	12	ρ2)(d1	ρ2)(d1	NUM
ejpam-6281	836	13	+	+	CCONJ
ejpam-6281	836	14	δ(1−	δ(1−	ADJ
ejpam-6281	836	15	kd2	kd2	NOUN
ejpam-6281	836	16	)	)	PUNCT
ejpam-6281	836	17	)	)	PUNCT
ejpam-6281	836	18	,	,	PUNCT
ejpam-6281	836	19	t.	t.	PROPN
ejpam-6281	836	20	s.	s.	PROPN
ejpam-6281	836	21	amer	amer	PROPN
ejpam-6281	836	22	et	et	PROPN
ejpam-6281	836	23	al	al	PROPN
ejpam-6281	836	24	.	.	PUNCT
ejpam-6281	836	25	/	/	SYM
ejpam-6281	836	26	eur	eur	PROPN
ejpam-6281	836	27	.	.	PUNCT
ejpam-6281	837	1	j.	j.	PROPN
ejpam-6281	837	2	pure	pure	PROPN
ejpam-6281	837	3	appl	appl	PROPN
ejpam-6281	837	4	.	.	PROPN
ejpam-6281	837	5	math	math	PROPN
ejpam-6281	837	6	,	,	PUNCT
ejpam-6281	837	7	18	18	NUM
ejpam-6281	837	8	(	(	PUNCT
ejpam-6281	837	9	3	3	NUM
ejpam-6281	837	10	)	)	PUNCT
ejpam-6281	837	11	(	(	PUNCT
ejpam-6281	837	12	2025	2025	NUM
ejpam-6281	837	13	)	)	PUNCT
ejpam-6281	837	14	,	,	PUNCT
ejpam-6281	837	15	6281	6281	NUM
ejpam-6281	837	16	33	33	NUM
ejpam-6281	837	17	of	of	ADP
ejpam-6281	837	18	35	35	NUM
ejpam-6281	837	19	appendix2	appendix2	PROPN
ejpam-6281	837	20	g10	g10	PROPN
ejpam-6281	837	21	=	=	PROPN
ejpam-6281	837	22	γ41	γ41	NOUN
ejpam-6281	837	23	+	+	CCONJ
ejpam-6281	837	24	1	1	NUM
ejpam-6281	837	25	2	2	NUM
ejpam-6281	837	26	[	[	X
ejpam-6281	837	27	(	(	PUNCT
ejpam-6281	837	28	2γ42	2γ42	NUM
ejpam-6281	837	29	−	−	NOUN
ejpam-6281	837	30	γ41)(a	γ41)(a	NOUN
ejpam-6281	837	31	2	2	NUM
ejpam-6281	837	32	1	1	NUM
ejpam-6281	837	33	+	+	NUM
ejpam-6281	837	34	a2	a2	PROPN
ejpam-6281	837	35	2	2	NUM
ejpam-6281	837	36	)	)	PUNCT
ejpam-6281	837	37	+	+	CCONJ
ejpam-6281	837	38	(	(	PUNCT
ejpam-6281	837	39	2γ43	2γ43	NUM
ejpam-6281	837	40	−	−	PROPN
ejpam-6281	838	1	γ25)a	γ25)a	NOUN
ejpam-6281	838	2	2	2	NUM
ejpam-6281	838	3	3]−	3]−	NUM
ejpam-6281	838	4	2γ17a1a2	2γ17a1a2	NUM
ejpam-6281	838	5	,	,	PUNCT
ejpam-6281	838	6	g11	g11	PROPN
ejpam-6281	838	7	=	=	SYM
ejpam-6281	838	8	γ44	γ44	VERB
ejpam-6281	839	1	−	−	NOUN
ejpam-6281	839	2	2γ11	2γ11	NUM
ejpam-6281	840	1	−	−	NOUN
ejpam-6281	841	1	2(a2	2(a2	NUM
ejpam-6281	841	2	1	1	NUM
ejpam-6281	841	3	+	+	NUM
ejpam-6281	841	4	a2	a2	PROPN
ejpam-6281	841	5	2)γ12	2)γ12	NOUN
ejpam-6281	841	6	−	−	NOUN
ejpam-6281	841	7	1	1	NUM
ejpam-6281	841	8	2	2	NUM
ejpam-6281	841	9	[	[	X
ejpam-6281	841	10	4γ13	4γ13	NOUN
ejpam-6281	841	11	+	+	SYM
ejpam-6281	841	12	1	1	NUM
ejpam-6281	841	13	ρ1	ρ1	NOUN
ejpam-6281	841	14	(	(	PUNCT
ejpam-6281	841	15	ρ1	ρ1	NOUN
ejpam-6281	841	16	+	+	NOUN
ejpam-6281	841	17	ρ2)γ26]a	ρ2)γ26]a	NUM
ejpam-6281	841	18	2	2	NUM
ejpam-6281	841	19	3	3	NUM
ejpam-6281	841	20	−	−	NOUN
ejpam-6281	841	21	2	2	NUM
ejpam-6281	841	22	×ρ1µ0	×ρ1µ0	NOUN
ejpam-6281	841	23	−	−	PROPN
ejpam-6281	841	24	λ́2r10(1+χδ	λ́2r10(1+χδ	NOUN
ejpam-6281	841	25	)	)	PUNCT
ejpam-6281	841	26	ρ1	ρ1	NOUN
ejpam-6281	841	27	γ17	γ17	NOUN
ejpam-6281	841	28	−	−	PROPN
ejpam-6281	841	29	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	841	30	ρ2	ρ2	PROPN
ejpam-6281	841	31	γ27	γ27	NOUN
ejpam-6281	841	32	+	+	CCONJ
ejpam-6281	841	33	γ37	γ37	ADJ
ejpam-6281	841	34	,	,	PUNCT
ejpam-6281	841	35	g12	g12	NOUN
ejpam-6281	841	36	=	=	SYM
ejpam-6281	841	37	1	1	NUM
ejpam-6281	841	38	2ρ1	2ρ1	NUM
ejpam-6281	841	39	(	(	PUNCT
ejpam-6281	841	40	ρ1	ρ1	NOUN
ejpam-6281	841	41	−	−	NOUN
ejpam-6281	841	42	ρ2)a	ρ2)a	NOUN
ejpam-6281	841	43	2	2	NUM
ejpam-6281	841	44	3γ26	3γ26	NOUN
ejpam-6281	841	45	,	,	PUNCT
ejpam-6281	841	46	g13	g13	NOUN
ejpam-6281	841	47	=	=	PUNCT
ejpam-6281	841	48	−3	−3	PROPN
ejpam-6281	841	49	2(a	2(a	NUM
ejpam-6281	841	50	2	2	NUM
ejpam-6281	841	51	1	1	NUM
ejpam-6281	841	52	−a2	−a2	NOUN
ejpam-6281	841	53	2)γ14	2)γ14	PROPN
ejpam-6281	841	54	+	+	PROPN
ejpam-6281	841	55	a1a2γ17	a1a2γ17	PROPN
ejpam-6281	841	56	,	,	PUNCT
ejpam-6281	841	57	g14	g14	NOUN
ejpam-6281	841	58	=	=	PUNCT
ejpam-6281	841	59	−3a1a2γ14	−3a1a2γ14	NOUN
ejpam-6281	841	60	−	−	NUM
ejpam-6281	841	61	1	1	NUM
ejpam-6281	841	62	2γ17(3a	2γ17(3a	NUM
ejpam-6281	841	63	2	2	NUM
ejpam-6281	841	64	1	1	NUM
ejpam-6281	841	65	−a2	−a2	NOUN
ejpam-6281	841	66	2)−	2)−	NUM
ejpam-6281	841	67	1	1	NUM
ejpam-6281	841	68	2ρ1	2ρ1	NUM
ejpam-6281	841	69	(	(	PUNCT
ejpam-6281	841	70	ρ1	ρ1	NOUN
ejpam-6281	841	71	+	+	CCONJ
ejpam-6281	841	72	ρ2)a1a2γ27	ρ2)a1a2γ27	NOUN
ejpam-6281	841	73	,	,	PUNCT
ejpam-6281	841	74	g15	g15	PROPN
ejpam-6281	841	75	=	=	SYM
ejpam-6281	841	76	γ45	γ45	NOUN
ejpam-6281	841	77	−	−	NOUN
ejpam-6281	841	78	1	1	NUM
ejpam-6281	841	79	2(3−	2(3−	NUM
ejpam-6281	841	80	ρ2	ρ2	NOUN
ejpam-6281	841	81	ρ1	ρ1	NOUN
ejpam-6281	841	82	)	)	PUNCT
ejpam-6281	841	83	(	(	PUNCT
ejpam-6281	841	84	a2	a2	PROPN
ejpam-6281	841	85	1	1	NUM
ejpam-6281	841	86	−a2	−a2	NOUN
ejpam-6281	841	87	2)γ16	2)γ16	NUM
ejpam-6281	841	88	−	−	NUM
ejpam-6281	841	89	1	1	NUM
ejpam-6281	841	90	ρ1	ρ1	NOUN
ejpam-6281	841	91	(	(	PUNCT
ejpam-6281	841	92	ρ1	ρ1	NOUN
ejpam-6281	841	93	+	+	CCONJ
ejpam-6281	841	94	ρ2)[γ21	ρ2)[γ21	PROPN
ejpam-6281	841	95	+	+	NOUN
ejpam-6281	841	96	a2	a2	PROPN
ejpam-6281	841	97	3γ23	3γ23	NUM
ejpam-6281	842	1	+	+	NOUN
ejpam-6281	842	2	(	(	PUNCT
ejpam-6281	842	3	a2	a2	PROPN
ejpam-6281	842	4	1	1	NUM
ejpam-6281	842	5	+	+	NOUN
ejpam-6281	842	6	a2	a2	PROPN
ejpam-6281	842	7	2)γ22]−	2)γ22]−	PROPN
ejpam-6281	842	8	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	842	9	ρ1	ρ1	NOUN
ejpam-6281	842	10	γ28	γ28	NOUN
ejpam-6281	842	11	+	+	CCONJ
ejpam-6281	842	12	ρ2	ρ2	NOUN
ejpam-6281	842	13	ρ1	ρ1	NOUN
ejpam-6281	842	14	[	[	X
ejpam-6281	842	15	γ38	γ38	NOUN
ejpam-6281	842	16	−	−	PROPN
ejpam-6281	842	17	λ́2r10(1+χδ	λ́2r10(1+χδ	NOUN
ejpam-6281	842	18	)	)	PUNCT
ejpam-6281	842	19	ρ1	ρ1	NOUN
ejpam-6281	842	20	γ18	γ18	PROPN
ejpam-6281	842	21	]	]	PUNCT
ejpam-6281	842	22	,	,	PUNCT
ejpam-6281	842	23	g16	g16	PROPN
ejpam-6281	842	24	=	=	SYM
ejpam-6281	842	25	γ46	γ46	VERB
ejpam-6281	842	26	−	−	NOUN
ejpam-6281	842	27	1	1	NUM
ejpam-6281	842	28	2	2	NUM
ejpam-6281	842	29	[	[	X
ejpam-6281	842	30	2γ15	2γ15	NUM
ejpam-6281	842	31	+	+	SYM
ejpam-6281	842	32	1	1	NUM
ejpam-6281	842	33	ρ1	ρ1	NOUN
ejpam-6281	842	34	(	(	PUNCT
ejpam-6281	842	35	ρ1	ρ1	NOUN
ejpam-6281	842	36	+	+	CCONJ
ejpam-6281	842	37	ρ2)γ24	ρ2)γ24	NOUN
ejpam-6281	842	38	]	]	PUNCT
ejpam-6281	842	39	,	,	PUNCT
ejpam-6281	842	40	g17	g17	NOUN
ejpam-6281	842	41	=	=	SYM
ejpam-6281	842	42	−1	−1	NOUN
ejpam-6281	842	43	2(γ24	2(γ24	NUM
ejpam-6281	842	44	+	+	CCONJ
ejpam-6281	842	45	ρ2	ρ2	NOUN
ejpam-6281	842	46	ρ1	ρ1	NOUN
ejpam-6281	842	47	γ15	γ15	NUM
ejpam-6281	842	48	)	)	PUNCT
ejpam-6281	842	49	,	,	PUNCT
ejpam-6281	842	50	g18	g18	PROPN
ejpam-6281	842	51	=	=	SYM
ejpam-6281	842	52	−1	−1	NOUN
ejpam-6281	842	53	2	2	NUM
ejpam-6281	842	54	[	[	X
ejpam-6281	842	55	2γ15	2γ15	NUM
ejpam-6281	842	56	+	+	SYM
ejpam-6281	842	57	1	1	NUM
ejpam-6281	842	58	ρ1	ρ1	NOUN
ejpam-6281	842	59	(	(	PUNCT
ejpam-6281	842	60	ρ1	ρ1	NOUN
ejpam-6281	842	61	+	+	CCONJ
ejpam-6281	842	62	ρ2)γ24	ρ2)γ24	NOUN
ejpam-6281	842	63	)	)	PUNCT
ejpam-6281	842	64	,	,	PUNCT
ejpam-6281	842	65	g19	g19	PROPN
ejpam-6281	842	66	=	=	PUNCT
ejpam-6281	842	67	ρ2	ρ2	PROPN
ejpam-6281	842	68	2ρ1	2ρ1	NUM
ejpam-6281	842	69	γ15	γ15	ADJ
ejpam-6281	842	70	+	+	CCONJ
ejpam-6281	842	71	1	1	NUM
ejpam-6281	842	72	2γ24	2γ24	NOUN
ejpam-6281	842	73	,	,	PUNCT
ejpam-6281	843	1	g110	g110	PROPN
ejpam-6281	843	2	=	=	NOUN
ejpam-6281	843	3	1	1	NUM
ejpam-6281	843	4	2γ61a3	2γ61a3	NOUN
ejpam-6281	843	5	[	[	PUNCT
ejpam-6281	843	6	1	1	NUM
ejpam-6281	843	7	ρ1	ρ1	NOUN
ejpam-6281	843	8	(	(	PUNCT
ejpam-6281	843	9	ρ1	ρ1	NOUN
ejpam-6281	843	10	−	−	NOUN
ejpam-6281	843	11	ρ2)a	ρ2)a	NOUN
ejpam-6281	843	12	2	2	NUM
ejpam-6281	843	13	1	1	NUM
ejpam-6281	843	14	−	−	NOUN
ejpam-6281	843	15	2(a2	2(a2	NUM
ejpam-6281	843	16	1	1	NUM
ejpam-6281	843	17	+	+	NUM
ejpam-6281	843	18	a2	a2	PROPN
ejpam-6281	843	19	2	2	NUM
ejpam-6281	843	20	)	)	PUNCT
ejpam-6281	843	21	]	]	PUNCT
ejpam-6281	843	22	,	,	PUNCT
ejpam-6281	843	23	g111	g111	PROPN
ejpam-6281	843	24	=	=	SYM
ejpam-6281	843	25	−(3−	−(3−	VERB
ejpam-6281	843	26	ρ2	ρ2	NOUN
ejpam-6281	843	27	ρ1	ρ1	NOUN
ejpam-6281	843	28	)	)	PUNCT
ejpam-6281	843	29	a1a2a3γ16	a1a2a3γ16	ADP
ejpam-6281	843	30	,	,	PUNCT
ejpam-6281	843	31	g112	g112	PROPN
ejpam-6281	843	32	=	=	SYM
ejpam-6281	843	33	−	−	PROPN
ejpam-6281	843	34	1	1	NUM
ejpam-6281	843	35	2ρ1	2ρ1	NUM
ejpam-6281	843	36	(	(	PUNCT
ejpam-6281	843	37	ρ1	ρ1	NOUN
ejpam-6281	843	38	+	+	CCONJ
ejpam-6281	843	39	ρ2)γ26	ρ2)γ26	PROPN
ejpam-6281	843	40	,	,	PUNCT
ejpam-6281	843	41	g113	g113	PROPN
ejpam-6281	843	42	=	=	SYM
ejpam-6281	844	1	−	−	PROPN
ejpam-6281	844	2	1	1	NUM
ejpam-6281	844	3	2ρ1	2ρ1	NUM
ejpam-6281	844	4	(	(	PUNCT
ejpam-6281	844	5	ρ1	ρ1	NOUN
ejpam-6281	844	6	−	−	PROPN
ejpam-6281	844	7	ρ2)γ26	ρ2)γ26	PROPN
ejpam-6281	844	8	,	,	PUNCT
ejpam-6281	844	9	g114	g114	PROPN
ejpam-6281	844	10	=	=	PUNCT
ejpam-6281	845	1	−	−	PROPN
ejpam-6281	845	2	1	1	NUM
ejpam-6281	845	3	2ρ1	2ρ1	NUM
ejpam-6281	845	4	(	(	PUNCT
ejpam-6281	845	5	ρ1	ρ1	NOUN
ejpam-6281	845	6	+	+	CCONJ
ejpam-6281	845	7	ρ2)a	ρ2)a	NOUN
ejpam-6281	845	8	2	2	NUM
ejpam-6281	845	9	3γ25	3γ25	NUM
ejpam-6281	845	10	,	,	PUNCT
ejpam-6281	845	11	g115	g115	PROPN
ejpam-6281	845	12	=	=	PUNCT
ejpam-6281	846	1	−	−	PROPN
ejpam-6281	846	2	1	1	NUM
ejpam-6281	846	3	2ρ1	2ρ1	NUM
ejpam-6281	846	4	(	(	PUNCT
ejpam-6281	846	5	ρ1	ρ1	NOUN
ejpam-6281	846	6	+	+	CCONJ
ejpam-6281	846	7	2ρ2)a	2ρ2)a	NUM
ejpam-6281	846	8	2	2	NUM
ejpam-6281	846	9	3γ28	3γ28	NOUN
ejpam-6281	846	10	,	,	PUNCT
ejpam-6281	846	11	g116	g116	PROPN
ejpam-6281	846	12	=	=	SYM
ejpam-6281	846	13	−	−	PROPN
ejpam-6281	846	14	1	1	NUM
ejpam-6281	846	15	ρ1	ρ1	NOUN
ejpam-6281	846	16	(	(	PUNCT
ejpam-6281	846	17	ρ1	ρ1	NOUN
ejpam-6281	846	18	−	−	NOUN
ejpam-6281	846	19	ρ2)γ36	ρ2)γ36	NOUN
ejpam-6281	846	20	−	−	PROPN
ejpam-6281	846	21	(	(	PUNCT
ejpam-6281	846	22	1	1	NUM
ejpam-6281	846	23	+	+	X
ejpam-6281	846	24	ρ2	ρ2	VERB
ejpam-6281	846	25	2ρ1	2ρ1	NUM
ejpam-6281	846	26	)	)	PUNCT
ejpam-6281	846	27	γ18	γ18	PROPN
ejpam-6281	847	1	+	+	CCONJ
ejpam-6281	847	2	1	1	NUM
ejpam-6281	847	3	2ρ1	2ρ1	NUM
ejpam-6281	847	4	(	(	PUNCT
ejpam-6281	847	5	ρ1	ρ1	NOUN
ejpam-6281	847	6	−	−	PROPN
ejpam-6281	847	7	ρ2	ρ2	NOUN
ejpam-6281	847	8	)	)	PUNCT
ejpam-6281	847	9	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	847	10	ρ2	ρ2	NOUN
ejpam-6281	847	11	γ26	γ26	NOUN
ejpam-6281	847	12	,	,	PUNCT
ejpam-6281	847	13	g117	g117	PROPN
ejpam-6281	847	14	=	=	SYM
ejpam-6281	847	15	−1	−1	NOUN
ejpam-6281	847	16	2	2	NUM
ejpam-6281	847	17	[	[	PUNCT
ejpam-6281	847	18	1	1	NUM
ejpam-6281	847	19	ρ1	ρ1	NOUN
ejpam-6281	847	20	(	(	PUNCT
ejpam-6281	847	21	ρ1	ρ1	NOUN
ejpam-6281	847	22	−	−	PROPN
ejpam-6281	847	23	ρ2)−	ρ2)−	PROPN
ejpam-6281	847	24	1]γ27	1]γ27	NUM
ejpam-6281	847	25	,	,	PUNCT
ejpam-6281	847	26	g118	g118	PUNCT
ejpam-6281	847	27	=	=	SYM
ejpam-6281	847	28	−1	−1	NOUN
ejpam-6281	847	29	2γ27	2γ27	NUM
ejpam-6281	847	30	−	−	NOUN
ejpam-6281	847	31	1	1	NUM
ejpam-6281	847	32	2ρ1	2ρ1	NUM
ejpam-6281	847	33	(	(	PUNCT
ejpam-6281	847	34	ρ1	ρ1	NOUN
ejpam-6281	847	35	+	+	CCONJ
ejpam-6281	847	36	ρ2)γ27	ρ2)γ27	PROPN
ejpam-6281	847	37	−	−	PROPN
ejpam-6281	847	38	γ18	γ18	NOUN
ejpam-6281	847	39	,	,	PUNCT
ejpam-6281	847	40	g119	g119	PROPN
ejpam-6281	847	41	=	=	SYM
ejpam-6281	847	42	−	−	PROPN
ejpam-6281	847	43	ρ2	ρ2	NOUN
ejpam-6281	847	44	2ρ1	2ρ1	NUM
ejpam-6281	847	45	γ18	γ18	NOUN
ejpam-6281	847	46	,	,	PUNCT
ejpam-6281	847	47	g120	g120	PROPN
ejpam-6281	847	48	=	=	SYM
ejpam-6281	848	1	−	−	PROPN
ejpam-6281	848	2	1	1	NUM
ejpam-6281	848	3	2ρ1	2ρ1	NUM
ejpam-6281	848	4	(	(	PUNCT
ejpam-6281	848	5	ρ1	ρ1	NOUN
ejpam-6281	848	6	+	+	CCONJ
ejpam-6281	848	7	ρ2)γ27	ρ2)γ27	PROPN
ejpam-6281	848	8	,	,	PUNCT
ejpam-6281	848	9	g121	g121	PROPN
ejpam-6281	848	10	=	=	SYM
ejpam-6281	848	11	γ47	γ47	PROPN
ejpam-6281	848	12	+	+	CCONJ
ejpam-6281	848	13	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	848	14	ρ2	ρ2	NOUN
ejpam-6281	848	15	γ24	γ24	NOUN
ejpam-6281	848	16	+	+	CCONJ
ejpam-6281	848	17	λ́2r10(1+χδ	λ́2r10(1+χδ	NOUN
ejpam-6281	848	18	)	)	PUNCT
ejpam-6281	848	19	ρ1	ρ1	NOUN
ejpam-6281	848	20	γ14	γ14	ADJ
ejpam-6281	848	21	−	−	PROPN
ejpam-6281	848	22	γ34	γ34	PROPN
ejpam-6281	848	23	,	,	PUNCT
ejpam-6281	848	24	g122	g122	PROPN
ejpam-6281	848	25	=	=	PUNCT
ejpam-6281	848	26	γ48	γ48	VERB
ejpam-6281	848	27	+	+	CCONJ
ejpam-6281	848	28	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	848	29	ρ1	ρ1	NOUN
ejpam-6281	848	30	γ25	γ25	NOUN
ejpam-6281	849	1	+	+	CCONJ
ejpam-6281	849	2	ρ2	ρ2	NOUN
ejpam-6281	849	3	ρ1	ρ1	NOUN
ejpam-6281	849	4	λ́2r10(1+χδ	λ́2r10(1+χδ	NOUN
ejpam-6281	849	5	)	)	PUNCT
ejpam-6281	849	6	ρ1	ρ1	NOUN
ejpam-6281	849	7	γ15	γ15	VERB
ejpam-6281	849	8	−	−	PROPN
ejpam-6281	849	9	ρ2	ρ2	NOUN
ejpam-6281	849	10	ρ1	ρ1	NOUN
ejpam-6281	849	11	γ35	γ35	NOUN
ejpam-6281	849	12	,	,	PUNCT
ejpam-6281	849	13	g123	g123	X
ejpam-6281	849	14	=	=	SYM
ejpam-6281	849	15	(	(	PUNCT
ejpam-6281	849	16	1−	1−	NUM
ejpam-6281	849	17	ρ2	ρ2	NOUN
ejpam-6281	849	18	ρ1	ρ1	NOUN
ejpam-6281	849	19	)	)	PUNCT
ejpam-6281	849	20	λ́2r10(1+χδ	λ́2r10(1+χδ	SYM
ejpam-6281	849	21	)	)	PUNCT
ejpam-6281	849	22	ρ1	ρ1	NOUN
ejpam-6281	849	23	a1a3γ16	a1a3γ16	PROPN
ejpam-6281	849	24	,	,	PUNCT
ejpam-6281	849	25	t.	t.	PROPN
ejpam-6281	849	26	s.	s.	PROPN
ejpam-6281	849	27	amer	amer	PROPN
ejpam-6281	849	28	et	et	PROPN
ejpam-6281	849	29	al	al	PROPN
ejpam-6281	849	30	.	.	PUNCT
ejpam-6281	849	31	/	/	SYM
ejpam-6281	849	32	eur	eur	PROPN
ejpam-6281	849	33	.	.	PUNCT
ejpam-6281	850	1	j.	j.	PROPN
ejpam-6281	850	2	pure	pure	PROPN
ejpam-6281	850	3	appl	appl	PROPN
ejpam-6281	850	4	.	.	PROPN
ejpam-6281	850	5	math	math	PROPN
ejpam-6281	850	6	,	,	PUNCT
ejpam-6281	850	7	18	18	NUM
ejpam-6281	850	8	(	(	PUNCT
ejpam-6281	850	9	3	3	NUM
ejpam-6281	850	10	)	)	PUNCT
ejpam-6281	850	11	(	(	PUNCT
ejpam-6281	850	12	2025	2025	NUM
ejpam-6281	850	13	)	)	PUNCT
ejpam-6281	850	14	,	,	PUNCT
ejpam-6281	850	15	6281	6281	NUM
ejpam-6281	850	16	34	34	NUM
ejpam-6281	850	17	of	of	ADP
ejpam-6281	850	18	35	35	NUM
ejpam-6281	850	19	g20	g20	NOUN
ejpam-6281	851	1	=	=	PUNCT
ejpam-6281	851	2	−2r10λ́2µ0(1	−2r10λ́2µ0(1	PROPN
ejpam-6281	851	3	+	+	NUM
ejpam-6281	851	4	χδ	χδ	PROPN
ejpam-6281	851	5	)	)	PUNCT
ejpam-6281	851	6	+	+	CCONJ
ejpam-6281	852	1	[	[	X
ejpam-6281	852	2	γ11	γ11	NOUN
ejpam-6281	852	3	+	+	CCONJ
ejpam-6281	852	4	(	(	PUNCT
ejpam-6281	852	5	a2	a2	PROPN
ejpam-6281	852	6	1	1	NUM
ejpam-6281	852	7	+	+	PROPN
ejpam-6281	852	8	a2	a2	PROPN
ejpam-6281	852	9	2)γ12	2)γ12	NUM
ejpam-6281	852	10	+	+	SYM
ejpam-6281	852	11	a2	a2	PROPN
ejpam-6281	852	12	3γ13	3γ13	NOUN
ejpam-6281	852	13	]	]	PUNCT
ejpam-6281	852	14	λ́2r10(1+χδ	λ́2r10(1+χδ	NOUN
ejpam-6281	852	15	)	)	PUNCT
ejpam-6281	852	16	ρ1	ρ1	NOUN
ejpam-6281	852	17	+	+	CCONJ
ejpam-6281	852	18	1	1	NUM
ejpam-6281	852	19	2a	2a	NUM
ejpam-6281	852	20	2	2	NUM
ejpam-6281	852	21	3γ28	3γ28	NUM
ejpam-6281	852	22	+	+	CCONJ
ejpam-6281	853	1	[	[	X
ejpam-6281	853	2	γ21	γ21	ADJ
ejpam-6281	853	3	+	+	NOUN
ejpam-6281	853	4	(	(	PUNCT
ejpam-6281	853	5	a2	a2	PROPN
ejpam-6281	853	6	1	1	NUM
ejpam-6281	853	7	+	+	PROPN
ejpam-6281	853	8	a2	a2	PROPN
ejpam-6281	853	9	2)γ22	2)γ22	PROPN
ejpam-6281	853	10	+	+	PROPN
ejpam-6281	853	11	a2	a2	PROPN
ejpam-6281	853	12	3γ23	3γ23	NUM
ejpam-6281	853	13	]	]	X
ejpam-6281	853	14	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	853	15	ρ2	ρ2	NOUN
ejpam-6281	853	16	−	−	PROPN
ejpam-6281	854	1	[	[	X
ejpam-6281	854	2	γ31	γ31	X
ejpam-6281	854	3	+	+	CCONJ
ejpam-6281	854	4	(	(	PUNCT
ejpam-6281	854	5	a2	a2	PROPN
ejpam-6281	854	6	1	1	NUM
ejpam-6281	854	7	+	+	NOUN
ejpam-6281	854	8	a2	a2	PROPN
ejpam-6281	854	9	2)γ32	2)γ32	NUM
ejpam-6281	854	10	+	+	NOUN
ejpam-6281	854	11	a2	a2	PROPN
ejpam-6281	854	12	3γ33]−	3γ33]−	NUM
ejpam-6281	854	13	(	(	PUNCT
ejpam-6281	854	14	a2	a2	PROPN
ejpam-6281	854	15	1	1	NUM
ejpam-6281	854	16	+	+	SYM
ejpam-6281	854	17	a2	a2	PROPN
ejpam-6281	854	18	2)γ17	2)γ17	NOUN
ejpam-6281	854	19	,	,	PUNCT
ejpam-6281	854	20	g21	g21	PROPN
ejpam-6281	854	21	=	=	SYM
ejpam-6281	854	22	−2ρ1µ0	−2ρ1µ0	PROPN
ejpam-6281	854	23	−	−	PROPN
ejpam-6281	854	24	2[γ11	2[γ11	PROPN
ejpam-6281	855	1	+	+	CCONJ
ejpam-6281	855	2	(	(	PUNCT
ejpam-6281	855	3	a2	a2	PROPN
ejpam-6281	855	4	1	1	NUM
ejpam-6281	855	5	+	+	PROPN
ejpam-6281	855	6	a2	a2	PROPN
ejpam-6281	855	7	2)γ12	2)γ12	NUM
ejpam-6281	855	8	+	+	SYM
ejpam-6281	855	9	a2	a2	PROPN
ejpam-6281	855	10	3γ13]−	3γ13]−	NUM
ejpam-6281	855	11	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	855	12	ρ2	ρ2	PROPN
ejpam-6281	855	13	γ27	γ27	NOUN
ejpam-6281	855	14	−	−	PROPN
ejpam-6281	855	15	1	1	NUM
ejpam-6281	855	16	2(1−	2(1−	NUM
ejpam-6281	855	17	ρ2	ρ2	NOUN
ejpam-6281	855	18	ρ1	ρ1	NOUN
ejpam-6281	855	19	)	)	PUNCT
ejpam-6281	855	20	a2	a2	PROPN
ejpam-6281	855	21	3γ26	3γ26	PUNCT
ejpam-6281	856	1	+	+	NOUN
ejpam-6281	856	2	γ37	γ37	NOUN
ejpam-6281	856	3	+	+	NUM
ejpam-6281	856	4	γ44	γ44	NOUN
ejpam-6281	856	5	−	−	PRON
ejpam-6281	856	6	2λ́2r10(1+χδ	2λ́2r10(1+χδ	NUM
ejpam-6281	856	7	)	)	PUNCT
ejpam-6281	856	8	ρ1	ρ1	NOUN
ejpam-6281	856	9	γ17	γ17	NOUN
ejpam-6281	856	10	,	,	PUNCT
ejpam-6281	856	11	g22	g22	NOUN
ejpam-6281	856	12	=	=	SYM
ejpam-6281	856	13	−γ34	−γ34	X
ejpam-6281	856	14	+	+	CCONJ
ejpam-6281	856	15	γ47	γ47	NOUN
ejpam-6281	856	16	+	+	CCONJ
ejpam-6281	856	17	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	856	18	ρ2	ρ2	NOUN
ejpam-6281	856	19	γ24	γ24	NOUN
ejpam-6281	856	20	−	−	PROPN
ejpam-6281	856	21	2(1+χδ)λ́2r10	2(1+χδ)λ́2r10	NUM
ejpam-6281	856	22	ρ1	ρ1	NOUN
ejpam-6281	856	23	γ14	γ14	ADJ
ejpam-6281	856	24	,	,	PUNCT
ejpam-6281	856	25	g23	g23	NOUN
ejpam-6281	856	26	=	=	SYM
ejpam-6281	856	27	1	1	NUM
ejpam-6281	856	28	2ρ1	2ρ1	NUM
ejpam-6281	856	29	(	(	PUNCT
ejpam-6281	856	30	ρ1	ρ1	NOUN
ejpam-6281	856	31	+	+	CCONJ
ejpam-6281	856	32	ρ2)a	ρ2)a	NOUN
ejpam-6281	856	33	2	2	NUM
ejpam-6281	856	34	3γ26	3γ26	NOUN
ejpam-6281	856	35	,	,	PUNCT
ejpam-6281	856	36	g24	g24	NOUN
ejpam-6281	856	37	=	=	SYM
ejpam-6281	856	38	ρ2	ρ2	PROPN
ejpam-6281	856	39	2ρ1	2ρ1	NUM
ejpam-6281	856	40	(	(	PUNCT
ejpam-6281	856	41	a2	a2	PROPN
ejpam-6281	856	42	1	1	NUM
ejpam-6281	857	1	+	+	PROPN
ejpam-6281	857	2	a2	a2	PROPN
ejpam-6281	857	3	2)γ16	2)γ16	NUM
ejpam-6281	857	4	+	+	CCONJ
ejpam-6281	857	5	ρ2	ρ2	PROPN
ejpam-6281	857	6	ρ1	ρ1	NOUN
ejpam-6281	857	7	γ45	γ45	NOUN
ejpam-6281	857	8	−	−	PROPN
ejpam-6281	858	1	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	858	2	ρ2	ρ2	NOUN
ejpam-6281	858	3	γ28	γ28	NOUN
ejpam-6281	858	4	+	+	CCONJ
ejpam-6281	858	5	2(1+χδ)λ́2r10	2(1+χδ)λ́2r10	NUM
ejpam-6281	858	6	ρ1	ρ1	NOUN
ejpam-6281	858	7	γ18	γ18	PROPN
ejpam-6281	858	8	+	+	CCONJ
ejpam-6281	858	9	γ38	γ38	NUM
ejpam-6281	858	10	−(1	−(1	ADJ
ejpam-6281	858	11	+	+	CCONJ
ejpam-6281	858	12	ρ2	ρ2	NOUN
ejpam-6281	858	13	ρ1	ρ1	NOUN
ejpam-6281	858	14	)	)	PUNCT
ejpam-6281	859	1	[	[	X
ejpam-6281	859	2	γ21	γ21	X
ejpam-6281	859	3	+	+	CCONJ
ejpam-6281	859	4	(	(	PUNCT
ejpam-6281	859	5	a2	a2	PROPN
ejpam-6281	859	6	1	1	NUM
ejpam-6281	859	7	+	+	PROPN
ejpam-6281	859	8	a2	a2	PROPN
ejpam-6281	859	9	2)γ22	2)γ22	PROPN
ejpam-6281	859	10	+	+	PROPN
ejpam-6281	859	11	a2	a2	PROPN
ejpam-6281	859	12	3γ23	3γ23	NUM
ejpam-6281	859	13	]	]	PUNCT
ejpam-6281	859	14	,	,	PUNCT
ejpam-6281	859	15	g25	g25	NOUN
ejpam-6281	859	16	=	=	SYM
ejpam-6281	859	17	1	1	NUM
ejpam-6281	859	18	2(γ15	2(γ15	NUM
ejpam-6281	859	19	−	−	NOUN
ejpam-6281	859	20	γ24	γ24	NOUN
ejpam-6281	859	21	)	)	PUNCT
ejpam-6281	860	1	+	+	CCONJ
ejpam-6281	860	2	1	1	NUM
ejpam-6281	860	3	ρ1	ρ1	NOUN
ejpam-6281	860	4	(	(	PUNCT
ejpam-6281	860	5	ρ1	ρ1	NOUN
ejpam-6281	860	6	−	−	PROPN
ejpam-6281	860	7	ρ2)γ46	ρ2)γ46	PROPN
ejpam-6281	860	8	,	,	PUNCT
ejpam-6281	860	9	g26	g26	NOUN
ejpam-6281	860	10	=	=	SYM
ejpam-6281	860	11	1	1	NUM
ejpam-6281	860	12	2	2	NUM
ejpam-6281	860	13	[	[	X
ejpam-6281	860	14	γ18	γ18	NUM
ejpam-6281	860	15	−	−	PROPN
ejpam-6281	860	16	(	(	PUNCT
ejpam-6281	860	17	1	1	NUM
ejpam-6281	860	18	+	+	NUM
ejpam-6281	860	19	ρ2	ρ2	NOUN
ejpam-6281	860	20	ρ1	ρ1	NOUN
ejpam-6281	860	21	)	)	PUNCT
ejpam-6281	860	22	γ27	γ27	PROPN
ejpam-6281	860	23	]	]	PUNCT
ejpam-6281	860	24	,	,	PUNCT
ejpam-6281	860	25	g27	g27	NOUN
ejpam-6281	860	26	=	=	SYM
ejpam-6281	860	27	−1	−1	NOUN
ejpam-6281	860	28	2(γ27	2(γ27	NUM
ejpam-6281	860	29	+	+	CCONJ
ejpam-6281	860	30	ρ2	ρ2	NOUN
ejpam-6281	860	31	ρ1	ρ1	NOUN
ejpam-6281	860	32	)	)	PUNCT
ejpam-6281	860	33	γ18	γ18	PROPN
ejpam-6281	860	34	)	)	PUNCT
ejpam-6281	861	1	+	+	CCONJ
ejpam-6281	861	2	λ́2r10δ	λ́2r10δ	PROPN
ejpam-6281	861	3	ρ2	ρ2	NOUN
ejpam-6281	861	4	γ26	γ26	VERB
ejpam-6281	861	5	−	−	PROPN
ejpam-6281	861	6	2(1+χδ)λ́2r10	2(1+χδ)λ́2r10	NUM
ejpam-6281	861	7	ρ1	ρ1	NOUN
ejpam-6281	861	8	γ16	γ16	ADJ
ejpam-6281	861	9	−	−	PROPN
ejpam-6281	861	10	γ36	γ36	NOUN
ejpam-6281	861	11	,	,	PUNCT
ejpam-6281	861	12	g28	g28	NOUN
ejpam-6281	861	13	=	=	SYM
ejpam-6281	861	14	−1	−1	NOUN
ejpam-6281	861	15	2(1	2(1	NUM
ejpam-6281	861	16	+	+	CCONJ
ejpam-6281	861	17	ρ2	ρ2	NOUN
ejpam-6281	861	18	ρ1	ρ1	NOUN
ejpam-6281	861	19	)	)	PUNCT
ejpam-6281	861	20	γ24	γ24	NOUN
ejpam-6281	861	21	−	−	PROPN
ejpam-6281	861	22	ρ2	ρ2	PROPN
ejpam-6281	861	23	2ρ1	2ρ1	NUM
ejpam-6281	861	24	γ15	γ15	ADJ
ejpam-6281	861	25	,	,	PUNCT
ejpam-6281	861	26	g29	g29	NOUN
ejpam-6281	861	27	=	=	SYM
ejpam-6281	861	28	1	1	NUM
ejpam-6281	861	29	2(γ15	2(γ15	NUM
ejpam-6281	861	30	−	−	PROPN
ejpam-6281	861	31	γ24	γ24	NOUN
ejpam-6281	861	32	)	)	PUNCT
ejpam-6281	861	33	,	,	PUNCT
ejpam-6281	862	1	g210	g210	PROPN
ejpam-6281	862	2	=	=	PUNCT
ejpam-6281	862	3	1	1	NUM
ejpam-6281	862	4	2ρ1	2ρ1	NUM
ejpam-6281	862	5	[	[	X
ejpam-6281	862	6	(	(	PUNCT
ejpam-6281	862	7	ρ1	ρ1	NOUN
ejpam-6281	862	8	+	+	CCONJ
ejpam-6281	862	9	ρ2)γ24	ρ2)γ24	NOUN
ejpam-6281	862	10	+	+	CCONJ
ejpam-6281	862	11	ρ2γ15	ρ2γ15	ADP
ejpam-6281	862	12	]	]	X
ejpam-6281	862	13	,	,	PUNCT
ejpam-6281	862	14	g211	g211	PROPN
ejpam-6281	862	15	=	=	NOUN
ejpam-6281	862	16	1	1	NUM
ejpam-6281	862	17	2	2	NUM
ejpam-6281	863	1	[	[	X
ejpam-6281	863	2	−γ18	−γ18	X
ejpam-6281	863	3	+	+	CCONJ
ejpam-6281	863	4	(	(	PUNCT
ejpam-6281	863	5	1	1	NUM
ejpam-6281	863	6	+	+	NUM
ejpam-6281	863	7	ρ2	ρ2	NOUN
ejpam-6281	863	8	ρ1	ρ1	NOUN
ejpam-6281	863	9	)	)	PUNCT
ejpam-6281	863	10	γ27	γ27	PROPN
ejpam-6281	863	11	]	]	PUNCT
ejpam-6281	863	12	,	,	PUNCT
ejpam-6281	863	13	g212	g212	PROPN
ejpam-6281	863	14	=	=	SYM
ejpam-6281	863	15	−1	−1	NOUN
ejpam-6281	863	16	2	2	NUM
ejpam-6281	863	17	[	[	PUNCT
ejpam-6281	863	18	ρ2	ρ2	NOUN
ejpam-6281	863	19	ρ1	ρ1	NOUN
ejpam-6281	863	20	γ18	γ18	PROPN
ejpam-6281	863	21	+	+	CCONJ
ejpam-6281	863	22	γ27	γ27	PROPN
ejpam-6281	863	23	]	]	PUNCT
ejpam-6281	863	24	,	,	PUNCT
ejpam-6281	863	25	g213	g213	PROPN
ejpam-6281	863	26	=	=	NOUN
ejpam-6281	863	27	1	1	NUM
ejpam-6281	863	28	2ρ1	2ρ1	NUM
ejpam-6281	863	29	(	(	PUNCT
ejpam-6281	863	30	2ρ1	2ρ1	NUM
ejpam-6281	863	31	−	−	NOUN
ejpam-6281	863	32	ρ2)(a	ρ2)(a	NOUN
ejpam-6281	863	33	2	2	NUM
ejpam-6281	863	34	2	2	NUM
ejpam-6281	863	35	−a2	−a2	NOUN
ejpam-6281	863	36	1)a3γ16	1)a3γ16	NUM
ejpam-6281	863	37	,	,	PUNCT
ejpam-6281	863	38	g214	g214	PROPN
ejpam-6281	863	39	=	=	PUNCT
ejpam-6281	864	1	−	−	PROPN
ejpam-6281	864	2	1	1	NUM
ejpam-6281	864	3	2ρ1	2ρ1	NUM
ejpam-6281	864	4	(	(	PUNCT
ejpam-6281	864	5	ρ1	ρ1	NOUN
ejpam-6281	864	6	+	+	CCONJ
ejpam-6281	864	7	ρ2)γ26	ρ2)γ26	PROPN
ejpam-6281	864	8	,	,	PUNCT
ejpam-6281	864	9	g215	g215	PROPN
ejpam-6281	864	10	=	=	SYM
ejpam-6281	864	11	1	1	NUM
ejpam-6281	864	12	2ρ1	2ρ1	NUM
ejpam-6281	864	13	(	(	PUNCT
ejpam-6281	864	14	ρ1	ρ1	NOUN
ejpam-6281	864	15	−	−	PROPN
ejpam-6281	864	16	ρ2)γ26	ρ2)γ26	PROPN
ejpam-6281	864	17	,	,	PUNCT
ejpam-6281	864	18	g216	g216	PROPN
ejpam-6281	864	19	=	=	SYM
ejpam-6281	864	20	1	1	NUM
ejpam-6281	864	21	2a	2a	NUM
ejpam-6281	864	22	2	2	NUM
ejpam-6281	864	23	3γ25	3γ25	NUM
ejpam-6281	864	24	,	,	PUNCT
ejpam-6281	864	25	g217	g217	PROPN
ejpam-6281	864	26	=	=	SYM
ejpam-6281	864	27	1	1	NUM
ejpam-6281	864	28	ρ1	ρ1	NOUN
ejpam-6281	864	29	(	(	PUNCT
ejpam-6281	864	30	ρ1	ρ1	NOUN
ejpam-6281	864	31	−	−	NOUN
ejpam-6281	864	32	ρ2)a1a2γ16	ρ2)a1a2γ16	NOUN
ejpam-6281	864	33	−	−	NOUN
ejpam-6281	864	34	ρ2	ρ2	NOUN
ejpam-6281	864	35	ρ1	ρ1	NOUN
ejpam-6281	864	36	γ18	γ18	PROPN
ejpam-6281	864	37	+	+	CCONJ
ejpam-6281	864	38	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	864	39	ρ2	ρ2	NOUN
ejpam-6281	864	40	γ25	γ25	NOUN
ejpam-6281	864	41	−	−	PROPN
ejpam-6281	864	42	2(1+χδ)λ́2r10	2(1+χδ)λ́2r10	NUM
ejpam-6281	864	43	ρ1	ρ1	NOUN
ejpam-6281	864	44	γ15	γ15	ADJ
ejpam-6281	864	45	−	−	NOUN
ejpam-6281	864	46	γ35	γ35	NOUN
ejpam-6281	864	47	,	,	PUNCT
ejpam-6281	864	48	g218	g218	NOUN
ejpam-6281	864	49	=	=	SYM
ejpam-6281	864	50	−1	−1	NOUN
ejpam-6281	864	51	2(1	2(1	NUM
ejpam-6281	864	52	+	+	CCONJ
ejpam-6281	864	53	2ρ2	2ρ2	NUM
ejpam-6281	864	54	ρ1	ρ1	NOUN
ejpam-6281	864	55	)	)	PUNCT
ejpam-6281	864	56	γ28	γ28	PROPN
ejpam-6281	864	57	,	,	PUNCT
ejpam-6281	864	58	g32	g32	NOUN
ejpam-6281	864	59	=	=	PUNCT
ejpam-6281	864	60	γ85	γ85	ADJ
ejpam-6281	864	61	−	−	PROPN
ejpam-6281	864	62	2(ρ2µ0	2(ρ2µ0	NUM
ejpam-6281	865	1	+	+	NUM
ejpam-6281	865	2	γ61	γ61	NOUN
ejpam-6281	865	3	+	+	CCONJ
ejpam-6281	865	4	γ63a	γ63a	ADP
ejpam-6281	865	5	2	2	NUM
ejpam-6281	865	6	3)−	3)−	PROPN
ejpam-6281	865	7	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	865	8	ρ2	ρ2	NOUN
ejpam-6281	865	9	γ68	γ68	AUX
ejpam-6281	865	10	−	−	PROPN
ejpam-6281	865	11	(	(	PUNCT
ejpam-6281	865	12	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	865	13	ρ1	ρ1	NOUN
ejpam-6281	865	14	γ58	γ58	PRON
ejpam-6281	865	15	+	+	CCONJ
ejpam-6281	865	16	γ78	γ78	PROPN
ejpam-6281	865	17	,	,	PUNCT
ejpam-6281	865	18	g33	g33	PROPN
ejpam-6281	865	19	=	=	SYM
ejpam-6281	866	1	−3	−3	NOUN
ejpam-6281	866	2	2γ68	2γ68	NOUN
ejpam-6281	866	3	,	,	PUNCT
ejpam-6281	866	4	g34	g34	NOUN
ejpam-6281	866	5	=	=	SYM
ejpam-6281	866	6	−1	−1	NOUN
ejpam-6281	866	7	2γ65	2γ65	NUM
ejpam-6281	866	8	,	,	PUNCT
ejpam-6281	866	9	g40	g40	X
ejpam-6281	866	10	=	=	SYM
ejpam-6281	867	1	2δλ́2r10µ0	2δλ́2r10µ0	PROPN
ejpam-6281	867	2	+	+	CCONJ
ejpam-6281	867	3	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	867	4	ρ2	ρ2	NOUN
ejpam-6281	867	5	[	[	X
ejpam-6281	867	6	γ61	γ61	NOUN
ejpam-6281	867	7	+	+	CCONJ
ejpam-6281	867	8	(	(	PUNCT
ejpam-6281	867	9	a2	a2	PROPN
ejpam-6281	867	10	1	1	NUM
ejpam-6281	867	11	+	+	NOUN
ejpam-6281	867	12	a2	a2	PROPN
ejpam-6281	867	13	2)γ62	2)γ62	ADJ
ejpam-6281	867	14	+	+	PROPN
ejpam-6281	867	15	a2	a2	NOUN
ejpam-6281	867	16	3γ63	3γ63	NOUN
ejpam-6281	867	17	]	]	X
ejpam-6281	868	1	+	+	CCONJ
ejpam-6281	868	2	(	(	PUNCT
ejpam-6281	868	3	1	1	NUM
ejpam-6281	868	4	+	+	NUM
ejpam-6281	868	5	ρ1	ρ1	NOUN
ejpam-6281	868	6	ρ2	ρ2	NOUN
ejpam-6281	868	7	)	)	PUNCT
ejpam-6281	868	8	(	(	PUNCT
ejpam-6281	868	9	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	868	10	ρ1	ρ1	NOUN
ejpam-6281	868	11	−	−	PROPN
ejpam-6281	869	1	(	(	PUNCT
ejpam-6281	869	2	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	869	3	ρ2	ρ2	NOUN
ejpam-6281	870	1	[	[	PUNCT
ejpam-6281	870	2	γ51	γ51	NUM
ejpam-6281	870	3	+	+	CCONJ
ejpam-6281	870	4	(	(	PUNCT
ejpam-6281	870	5	a2	a2	PROPN
ejpam-6281	870	6	1	1	NUM
ejpam-6281	870	7	+	+	PROPN
ejpam-6281	870	8	a2	a2	PROPN
ejpam-6281	870	9	2)γ52	2)γ52	NUM
ejpam-6281	870	10	+	+	NOUN
ejpam-6281	870	11	a2	a2	PROPN
ejpam-6281	870	12	3γ53]−	3γ53]−	NUM
ejpam-6281	870	13	[	[	PUNCT
ejpam-6281	870	14	γ71	γ71	NOUN
ejpam-6281	870	15	+	+	CCONJ
ejpam-6281	870	16	(	(	PUNCT
ejpam-6281	870	17	a2	a2	PROPN
ejpam-6281	870	18	1	1	NUM
ejpam-6281	870	19	+	+	PROPN
ejpam-6281	870	20	a2	a2	PROPN
ejpam-6281	870	21	2)γ72	2)γ72	NUM
ejpam-6281	870	22	+	+	NOUN
ejpam-6281	870	23	a2	a2	PROPN
ejpam-6281	870	24	3γ73	3γ73	NOUN
ejpam-6281	870	25	]	]	X
ejpam-6281	870	26	+1	+1	PRON
ejpam-6281	870	27	2a	2a	NUM
ejpam-6281	870	28	2	2	NUM
ejpam-6281	870	29	3γ68]−	3γ68]−	NUM
ejpam-6281	870	30	ρ1	ρ1	NOUN
ejpam-6281	870	31	2ρ2	2ρ2	NUM
ejpam-6281	870	32	(	(	PUNCT
ejpam-6281	870	33	a2	a2	PROPN
ejpam-6281	870	34	1	1	NUM
ejpam-6281	870	35	+	+	NOUN
ejpam-6281	870	36	a2	a2	PROPN
ejpam-6281	870	37	2)γ57	2)γ57	NUM
ejpam-6281	870	38	,	,	PUNCT
ejpam-6281	870	39	g41	g41	NOUN
ejpam-6281	870	40	=	=	SYM
ejpam-6281	870	41	−	−	NOUN
ejpam-6281	870	42	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	870	43	ρ2	ρ2	PROPN
ejpam-6281	870	44	γ67	γ67	NOUN
ejpam-6281	870	45	−	−	PROPN
ejpam-6281	871	1	(	(	PUNCT
ejpam-6281	871	2	1	1	NUM
ejpam-6281	871	3	+	+	NUM
ejpam-6281	871	4	ρ1	ρ1	NOUN
ejpam-6281	871	5	ρ2	ρ2	NOUN
ejpam-6281	871	6	)	)	PUNCT
ejpam-6281	872	1	+	+	CCONJ
ejpam-6281	872	2	(	(	PUNCT
ejpam-6281	872	3	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	872	4	ρ2	ρ2	NOUN
ejpam-6281	872	5	γ57	γ57	NOUN
ejpam-6281	872	6	+	+	CCONJ
ejpam-6281	872	7	1	1	NUM
ejpam-6281	872	8	2(1−	2(1−	NUM
ejpam-6281	872	9	ρ1	ρ1	NOUN
ejpam-6281	872	10	ρ2	ρ2	NOUN
ejpam-6281	872	11	)	)	PUNCT
ejpam-6281	872	12	a2	a2	PROPN
ejpam-6281	872	13	3γ66	3γ66	NUM
ejpam-6281	873	1	+	+	NOUN
ejpam-6281	873	2	γ77	γ77	ADJ
ejpam-6281	873	3	+	+	SYM
ejpam-6281	873	4	ρ1	ρ1	NOUN
ejpam-6281	873	5	ρ2	ρ2	NOUN
ejpam-6281	873	6	γ84	γ84	NOUN
ejpam-6281	873	7	,	,	PUNCT
ejpam-6281	873	8	g42	g42	PROPN
ejpam-6281	873	9	=	=	SYM
ejpam-6281	873	10	a2	a2	PROPN
ejpam-6281	873	11	3γ66	3γ66	NUM
ejpam-6281	873	12	,	,	PUNCT
ejpam-6281	873	13	g43	g43	NOUN
ejpam-6281	873	14	=	=	SYM
ejpam-6281	873	15	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	873	16	ρ2	ρ2	NOUN
ejpam-6281	873	17	γ64	γ64	NOUN
ejpam-6281	873	18	−	−	PROPN
ejpam-6281	874	1	(	(	PUNCT
ejpam-6281	874	2	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	874	3	ρ2	ρ2	NOUN
ejpam-6281	874	4	γ54	γ54	NOUN
ejpam-6281	874	5	+	+	CCONJ
ejpam-6281	874	6	ρ1	ρ1	NOUN
ejpam-6281	874	7	ρ2	ρ2	NOUN
ejpam-6281	874	8	γ87	γ87	NOUN
ejpam-6281	874	9	−	−	PROPN
ejpam-6281	874	10	γ74	γ74	ADJ
ejpam-6281	874	11	,	,	PUNCT
ejpam-6281	874	12	g44	g44	NOUN
ejpam-6281	874	13	=	=	SYM
ejpam-6281	874	14	−	−	PROPN
ejpam-6281	875	1	ρ1	ρ1	NOUN
ejpam-6281	875	2	2ρ2	2ρ2	NUM
ejpam-6281	875	3	(	(	PUNCT
ejpam-6281	875	4	a2	a2	PROPN
ejpam-6281	875	5	1	1	NUM
ejpam-6281	875	6	−a2	−a2	PROPN
ejpam-6281	875	7	2)γ54	2)γ54	PROPN
ejpam-6281	875	8	+	+	CCONJ
ejpam-6281	875	9	ρ1	ρ1	NOUN
ejpam-6281	875	10	ρ2	ρ2	PROPN
ejpam-6281	875	11	a1a2γ57	a1a2γ57	PROPN
ejpam-6281	875	12	,	,	PUNCT
ejpam-6281	875	13	g45	g45	NOUN
ejpam-6281	875	14	=	=	PUNCT
ejpam-6281	875	15	−	−	PROPN
ejpam-6281	875	16	ρ1	ρ1	NOUN
ejpam-6281	875	17	2ρ2	2ρ2	NUM
ejpam-6281	875	18	(	(	PUNCT
ejpam-6281	875	19	a2	a2	PROPN
ejpam-6281	875	20	1	1	NUM
ejpam-6281	875	21	−a2	−a2	PROPN
ejpam-6281	875	22	2)γ57	2)γ57	NUM
ejpam-6281	875	23	−	−	PROPN
ejpam-6281	875	24	ρ1	ρ1	NOUN
ejpam-6281	875	25	ρ2	ρ2	PROPN
ejpam-6281	875	26	a1a2γ54	a1a2γ54	PROPN
ejpam-6281	875	27	,	,	PUNCT
ejpam-6281	875	28	g46	g46	NOUN
ejpam-6281	875	29	=	=	PUNCT
ejpam-6281	875	30	−4ρ2µ0	−4ρ2µ0	NOUN
ejpam-6281	875	31	−	−	PROPN
ejpam-6281	875	32	2[γ61	2[γ61	PROPN
ejpam-6281	875	33	+	+	CCONJ
ejpam-6281	875	34	(	(	PUNCT
ejpam-6281	875	35	a2	a2	PROPN
ejpam-6281	875	36	1	1	NUM
ejpam-6281	875	37	+	+	NOUN
ejpam-6281	875	38	a2	a2	PROPN
ejpam-6281	875	39	2)γ62	2)γ62	ADJ
ejpam-6281	875	40	+	+	PROPN
ejpam-6281	875	41	a2	a2	NOUN
ejpam-6281	875	42	3γ63	3γ63	NOUN
ejpam-6281	875	43	]	]	X
ejpam-6281	876	1	+	+	CCONJ
ejpam-6281	876	2	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	876	3	ρ2	ρ2	NOUN
ejpam-6281	876	4	(	(	PUNCT
ejpam-6281	876	5	γ56	γ56	NOUN
ejpam-6281	876	6	−2γ68	−2γ68	PROPN
ejpam-6281	876	7	)	)	PUNCT
ejpam-6281	877	1	+	+	CCONJ
ejpam-6281	877	2	γ85	γ85	ADJ
ejpam-6281	877	3	+	+	CCONJ
ejpam-6281	877	4	γ78	γ78	NOUN
ejpam-6281	877	5	−	−	PROPN
ejpam-6281	877	6	1	1	NUM
ejpam-6281	877	7	2(1−	2(1−	NUM
ejpam-6281	877	8	ρ1	ρ1	NOUN
ejpam-6281	877	9	ρ2	ρ2	NOUN
ejpam-6281	877	10	)	)	PUNCT
ejpam-6281	877	11	(	(	PUNCT
ejpam-6281	877	12	a2	a2	PROPN
ejpam-6281	877	13	1	1	NUM
ejpam-6281	877	14	+	+	NOUN
ejpam-6281	877	15	a2	a2	PROPN
ejpam-6281	877	16	2)γ56	2)γ56	NUM
ejpam-6281	877	17	+	+	CCONJ
ejpam-6281	877	18	(	(	PUNCT
ejpam-6281	877	19	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	877	20	ρ1	ρ1	NOUN
ejpam-6281	877	21	γ58	γ58	NOUN
ejpam-6281	877	22	,	,	PUNCT
ejpam-6281	877	23	g47	g47	NOUN
ejpam-6281	877	24	=	=	SYM
ejpam-6281	877	25	−	−	PROPN
ejpam-6281	877	26	ρ1	ρ1	NOUN
ejpam-6281	877	27	2ρ2	2ρ2	NUM
ejpam-6281	877	28	γ64	γ64	NOUN
ejpam-6281	877	29	−	−	PROPN
ejpam-6281	877	30	(	(	PUNCT
ejpam-6281	877	31	1−	1−	NUM
ejpam-6281	877	32	ρ1	ρ1	PROPN
ejpam-6281	877	33	ρ2	ρ2	NOUN
ejpam-6281	877	34	)	)	PUNCT
ejpam-6281	877	35	γ86	γ86	NOUN
ejpam-6281	877	36	,	,	PUNCT
ejpam-6281	877	37	g48	g48	NOUN
ejpam-6281	877	38	=	=	SYM
ejpam-6281	877	39	−1	−1	NOUN
ejpam-6281	877	40	2(2γ64	2(2γ64	NUM
ejpam-6281	877	41	+	+	CCONJ
ejpam-6281	877	42	γ55	γ55	ADJ
ejpam-6281	877	43	)	)	PUNCT
ejpam-6281	877	44	,	,	PUNCT
ejpam-6281	877	45	g49	g49	NOUN
ejpam-6281	877	46	=	=	SYM
ejpam-6281	877	47	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	877	48	ρ2	ρ2	NOUN
ejpam-6281	877	49	γ66	γ66	NOUN
ejpam-6281	877	50	−	−	PROPN
ejpam-6281	877	51	(	(	PUNCT
ejpam-6281	877	52	γ76	γ76	ADJ
ejpam-6281	877	53	+	+	CCONJ
ejpam-6281	877	54	1	1	NUM
ejpam-6281	877	55	2γ58)−	2γ58)−	NUM
ejpam-6281	877	56	(	(	PUNCT
ejpam-6281	877	57	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	877	58	ρ2	ρ2	NOUN
ejpam-6281	877	59	γ56	γ56	NOUN
ejpam-6281	877	60	−	−	PROPN
ejpam-6281	878	1	ρ1	ρ1	NOUN
ejpam-6281	878	2	2ρ2	2ρ2	NUM
ejpam-6281	878	3	γ67	γ67	NOUN
ejpam-6281	878	4	,	,	PUNCT
ejpam-6281	878	5	t.	t.	PROPN
ejpam-6281	878	6	s.	s.	PROPN
ejpam-6281	878	7	amer	amer	PROPN
ejpam-6281	878	8	et	et	PROPN
ejpam-6281	878	9	al	al	PROPN
ejpam-6281	878	10	.	.	PUNCT
ejpam-6281	878	11	/	/	SYM
ejpam-6281	878	12	eur	eur	PROPN
ejpam-6281	878	13	.	.	PUNCT
ejpam-6281	879	1	j.	j.	PROPN
ejpam-6281	879	2	pure	pure	PROPN
ejpam-6281	879	3	appl	appl	PROPN
ejpam-6281	879	4	.	.	PROPN
ejpam-6281	879	5	math	math	PROPN
ejpam-6281	879	6	,	,	PUNCT
ejpam-6281	879	7	18	18	NUM
ejpam-6281	879	8	(	(	PUNCT
ejpam-6281	879	9	3	3	NUM
ejpam-6281	879	10	)	)	PUNCT
ejpam-6281	879	11	(	(	PUNCT
ejpam-6281	879	12	2025	2025	NUM
ejpam-6281	879	13	)	)	PUNCT
ejpam-6281	879	14	,	,	PUNCT
ejpam-6281	879	15	6281	6281	NUM
ejpam-6281	879	16	35	35	NUM
ejpam-6281	879	17	of	of	ADP
ejpam-6281	879	18	35	35	NUM
ejpam-6281	879	19	g410	g410	NUM
ejpam-6281	879	20	=	=	PUNCT
ejpam-6281	880	1	−γ67	−γ67	NOUN
ejpam-6281	880	2	,	,	PUNCT
ejpam-6281	880	3	g411	g411	PROPN
ejpam-6281	880	4	=	=	SYM
ejpam-6281	881	1	−	−	PROPN
ejpam-6281	881	2	ρ1	ρ1	NOUN
ejpam-6281	881	3	2ρ2	2ρ2	NUM
ejpam-6281	881	4	γ64	γ64	NOUN
ejpam-6281	881	5	,	,	PUNCT
ejpam-6281	881	6	g412	g412	PROPN
ejpam-6281	881	7	=	=	SYM
ejpam-6281	881	8	1	1	NUM
ejpam-6281	881	9	2(2γ64	2(2γ64	NUM
ejpam-6281	881	10	+	+	CCONJ
ejpam-6281	881	11	γ55	γ55	ADJ
ejpam-6281	881	12	)	)	PUNCT
ejpam-6281	881	13	,	,	PUNCT
ejpam-6281	882	1	g413	g413	PROPN
ejpam-6281	882	2	=	=	PUNCT
ejpam-6281	882	3	−1	−1	NOUN
ejpam-6281	882	4	2(γ58	2(γ58	NUM
ejpam-6281	882	5	+	+	NUM
ejpam-6281	882	6	ρ1	ρ1	NOUN
ejpam-6281	882	7	ρ2	ρ2	NOUN
ejpam-6281	882	8	γ67	γ67	NOUN
ejpam-6281	882	9	)	)	PUNCT
ejpam-6281	882	10	,	,	PUNCT
ejpam-6281	883	1	g414	g414	NOUN
ejpam-6281	883	2	=	=	SYM
ejpam-6281	883	3	−γ67	−γ67	PROPN
ejpam-6281	883	4	,	,	PUNCT
ejpam-6281	883	5	g415	g415	PROPN
ejpam-6281	883	6	=	=	PUNCT
ejpam-6281	884	1	−	−	PROPN
ejpam-6281	884	2	1	1	NUM
ejpam-6281	884	3	2ρ2	2ρ2	NUM
ejpam-6281	884	4	(	(	PUNCT
ejpam-6281	884	5	ρ2	ρ2	NOUN
ejpam-6281	884	6	−	−	PROPN
ejpam-6281	884	7	ρ1)(a	ρ1)(a	PROPN
ejpam-6281	884	8	2	2	NUM
ejpam-6281	884	9	1	1	NUM
ejpam-6281	884	10	−a2	−a2	NOUN
ejpam-6281	884	11	2)a3γ56	2)a3γ56	NUM
ejpam-6281	884	12	,	,	PUNCT
ejpam-6281	884	13	g416	g416	PROPN
ejpam-6281	884	14	=	=	SYM
ejpam-6281	884	15	0	0	NUM
ejpam-6281	884	16	,	,	PUNCT
ejpam-6281	884	17	g417	g417	PROPN
ejpam-6281	884	18	=	=	SYM
ejpam-6281	884	19	1	1	NUM
ejpam-6281	884	20	2ρ2	2ρ2	NUM
ejpam-6281	884	21	(	(	PUNCT
ejpam-6281	884	22	ρ2	ρ2	NOUN
ejpam-6281	884	23	−	−	PROPN
ejpam-6281	884	24	ρ1)γ66	ρ1)γ66	PROPN
ejpam-6281	884	25	,	,	PUNCT
ejpam-6281	884	26	g418	g418	PROPN
ejpam-6281	884	27	=	=	SYM
ejpam-6281	884	28	−γ66	−γ66	PROPN
ejpam-6281	884	29	,	,	PUNCT
ejpam-6281	884	30	g419	g419	PROPN
ejpam-6281	884	31	=	=	PUNCT
ejpam-6281	884	32	−3	−3	PROPN
ejpam-6281	884	33	2a	2a	NUM
ejpam-6281	884	34	2	2	NUM
ejpam-6281	884	35	3γ65	3γ65	NUM
ejpam-6281	884	36	,	,	PUNCT
ejpam-6281	884	37	g420	g420	PROPN
ejpam-6281	884	38	=	=	SYM
ejpam-6281	884	39	δλ́2r10	δλ́2r10	PROPN
ejpam-6281	884	40	ρ2	ρ2	VERB
ejpam-6281	884	41	γ65	γ65	NOUN
ejpam-6281	884	42	+	+	CCONJ
ejpam-6281	884	43	γ88	γ88	ADJ
ejpam-6281	884	44	−	−	NOUN
ejpam-6281	884	45	γ75	γ75	NOUN
ejpam-6281	884	46	−	−	PROPN
ejpam-6281	884	47	(	(	PUNCT
ejpam-6281	884	48	1+χδ)λ́2r10	1+χδ)λ́2r10	NUM
ejpam-6281	884	49	ρ1	ρ1	NOUN
ejpam-6281	884	50	γ55	γ55	NOUN
ejpam-6281	884	51	+	+	CCONJ
ejpam-6281	884	52	(	(	PUNCT
ejpam-6281	884	53	1−	1−	NUM
ejpam-6281	884	54	ρ1	ρ1	PROPN
ejpam-6281	884	55	ρ2	ρ2	PROPN
ejpam-6281	884	56	)	)	PUNCT
ejpam-6281	884	57	a1a2γ56	a1a2γ56	PROPN
ejpam-6281	884	58	,	,	PUNCT
ejpam-6281	884	59	g421	g421	PROPN
ejpam-6281	884	60	=	=	SYM
ejpam-6281	884	61	−3	−3	PROPN
ejpam-6281	884	62	2a	2a	NUM
ejpam-6281	884	63	2	2	NUM
ejpam-6281	884	64	3γ68	3γ68	NUM
ejpam-6281	884	65	,	,	PUNCT