id	sid	tid	token	lemma	pos
ap-1751	1	1	acta	acta	PROPN
ap-1751	1	2	polytechnica	polytechnica	PROPN
ap-1751	1	3	acta	acta	PROPN
ap-1751	1	4	polytechnica	polytechnica	PROPN
ap-1751	1	5	53(2):174–178	53(2):174–178	PROPN
ap-1751	1	6	,	,	PUNCT
ap-1751	1	7	2013	2013	NUM
ap-1751	1	8	©	©	PROPN
ap-1751	1	9	czech	czech	PROPN
ap-1751	1	10	technical	technical	PROPN
ap-1751	1	11	university	university	PROPN
ap-1751	1	12	in	in	ADP
ap-1751	1	13	prague	prague	PROPN
ap-1751	1	14	,	,	PUNCT
ap-1751	1	15	2013	2013	NUM
ap-1751	1	16	available	available	ADJ
ap-1751	1	17	online	online	ADV
ap-1751	1	18	at	at	ADP
ap-1751	1	19	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	ADJ
ap-1751	1	20	instability	instability	NOUN
ap-1751	1	21	growth	growth	NOUN
ap-1751	1	22	rate	rate	NOUN
ap-1751	1	23	dependence	dependence	NOUN
ap-1751	1	24	on	on	ADP
ap-1751	1	25	input	input	NOUN
ap-1751	1	26	parameters	parameter	NOUN
ap-1751	1	27	during	during	ADP
ap-1751	1	28	the	the	DET
ap-1751	1	29	beam	beam	NOUN
ap-1751	1	30	–	–	PUNCT
ap-1751	1	31	target	target	NOUN
ap-1751	1	32	plasma	plasma	NOUN
ap-1751	1	33	interaction	interaction	NOUN
ap-1751	1	34	miroslav	miroslav	ADJ
ap-1751	1	35	horký∗	horký∗	PROPN
ap-1751	1	36	department	department	PROPN
ap-1751	1	37	of	of	ADP
ap-1751	1	38	physics	physics	PROPN
ap-1751	1	39	,	,	PUNCT
ap-1751	1	40	faculty	faculty	NOUN
ap-1751	1	41	of	of	ADP
ap-1751	1	42	electrical	electrical	ADJ
ap-1751	1	43	engineering	engineering	NOUN
ap-1751	1	44	,	,	PUNCT
ap-1751	1	45	czech	czech	PROPN
ap-1751	1	46	technical	technical	PROPN
ap-1751	1	47	university	university	PROPN
ap-1751	1	48	in	in	ADP
ap-1751	1	49	prague	prague	PROPN
ap-1751	1	50	,	,	PUNCT
ap-1751	1	51	czech	czech	PROPN
ap-1751	1	52	republic	republic	NOUN
ap-1751	1	53	∗	∗	NOUN
ap-1751	1	54	corresponding	correspond	VERB
ap-1751	1	55	author	author	NOUN
ap-1751	1	56	:	:	PUNCT
ap-1751	1	57	horkymi1@fel.cvut.cz	horkymi1@fel.cvut.cz	NOUN
ap-1751	1	58	abstract	abstract	ADJ
ap-1751	1	59	.	.	PUNCT
ap-1751	2	1	the	the	DET
ap-1751	2	2	two	two	NUM
ap-1751	2	3	-	-	PUNCT
ap-1751	2	4	stream	stream	NOUN
ap-1751	2	5	instability	instability	NOUN
ap-1751	2	6	without	without	ADP
ap-1751	2	7	magnetic	magnetic	ADJ
ap-1751	2	8	field	field	NOUN
ap-1751	2	9	is	be	AUX
ap-1751	2	10	described	describe	VERB
ap-1751	2	11	by	by	ADP
ap-1751	2	12	the	the	DET
ap-1751	2	13	well	well	ADV
ap-1751	2	14	-	-	PUNCT
ap-1751	2	15	known	know	VERB
ap-1751	2	16	buneman	buneman	NOUN
ap-1751	2	17	dispersion	dispersion	NOUN
ap-1751	2	18	relation	relation	NOUN
ap-1751	2	19	.	.	PUNCT
ap-1751	3	1	for	for	ADP
ap-1751	3	2	more	more	ADV
ap-1751	3	3	complicated	complicated	ADJ
ap-1751	3	4	situations	situation	NOUN
ap-1751	3	5	we	we	PRON
ap-1751	3	6	need	need	VERB
ap-1751	3	7	to	to	PART
ap-1751	3	8	use	use	VERB
ap-1751	3	9	the	the	DET
ap-1751	3	10	generalized	generalize	VERB
ap-1751	3	11	buneman	buneman	NOUN
ap-1751	3	12	dispersion	dispersion	NOUN
ap-1751	3	13	relation	relation	NOUN
ap-1751	3	14	derived	derive	VERB
ap-1751	3	15	by	by	ADP
ap-1751	3	16	kulhánek	kulhánek	ADJ
ap-1751	3	17	,	,	PUNCT
ap-1751	3	18	břeň	břeň	ADV
ap-1751	3	19	,	,	PUNCT
ap-1751	3	20	and	and	CCONJ
ap-1751	3	21	bohata	bohata	NOUN
ap-1751	3	22	in	in	ADP
ap-1751	3	23	2011	2011	NUM
ap-1751	3	24	,	,	PUNCT
ap-1751	3	25	which	which	PRON
ap-1751	3	26	is	be	AUX
ap-1751	3	27	a	a	DET
ap-1751	3	28	polynomial	polynomial	ADJ
ap-1751	3	29	equation	equation	NOUN
ap-1751	3	30	of	of	ADP
ap-1751	3	31	8th	8th	ADJ
ap-1751	3	32	order	order	NOUN
ap-1751	3	33	.	.	PUNCT
ap-1751	4	1	the	the	DET
ap-1751	4	2	maximal	maximal	ADJ
ap-1751	4	3	value	value	NOUN
ap-1751	4	4	of	of	ADP
ap-1751	4	5	the	the	DET
ap-1751	4	6	imaginary	imaginary	ADJ
ap-1751	4	7	part	part	NOUN
ap-1751	4	8	of	of	ADP
ap-1751	4	9	the	the	DET
ap-1751	4	10	individual	individual	ADJ
ap-1751	4	11	dispersion	dispersion	NOUN
ap-1751	4	12	branches	branch	NOUN
ap-1751	4	13	ωn(k	ωn(k	VERB
ap-1751	4	14	)	)	PUNCT
ap-1751	4	15	is	be	AUX
ap-1751	4	16	very	very	ADV
ap-1751	4	17	interesting	interesting	ADJ
ap-1751	4	18	from	from	ADP
ap-1751	4	19	the	the	DET
ap-1751	4	20	physical	physical	ADJ
ap-1751	4	21	point	point	NOUN
ap-1751	4	22	of	of	ADP
ap-1751	4	23	view	view	NOUN
ap-1751	4	24	.	.	PUNCT
ap-1751	5	1	it	it	PRON
ap-1751	5	2	represents	represent	VERB
ap-1751	5	3	the	the	DET
ap-1751	5	4	instability	instability	NOUN
ap-1751	5	5	growth	growth	NOUN
ap-1751	5	6	rate	rate	NOUN
ap-1751	5	7	which	which	PRON
ap-1751	5	8	is	be	AUX
ap-1751	5	9	responsible	responsible	ADJ
ap-1751	5	10	for	for	ADP
ap-1751	5	11	the	the	DET
ap-1751	5	12	turbulence	turbulence	NOUN
ap-1751	5	13	mode	mode	NOUN
ap-1751	5	14	onset	onset	NOUN
ap-1751	5	15	and	and	CCONJ
ap-1751	5	16	subsequent	subsequent	ADJ
ap-1751	5	17	reconnection	reconnection	NOUN
ap-1751	5	18	on	on	ADP
ap-1751	5	19	the	the	DET
ap-1751	5	20	ion	ion	NOUN
ap-1751	5	21	radius	radius	NOUN
ap-1751	5	22	scale	scale	NOUN
ap-1751	5	23	accompanied	accompany	VERB
ap-1751	5	24	by	by	ADP
ap-1751	5	25	strong	strong	ADJ
ap-1751	5	26	plasma	plasma	NOUN
ap-1751	5	27	thermalization	thermalization	NOUN
ap-1751	5	28	.	.	PUNCT
ap-1751	6	1	the	the	DET
ap-1751	6	2	paper	paper	NOUN
ap-1751	6	3	presented	present	VERB
ap-1751	6	4	here	here	ADV
ap-1751	6	5	is	be	AUX
ap-1751	6	6	focused	focus	VERB
ap-1751	6	7	on	on	ADP
ap-1751	6	8	the	the	DET
ap-1751	6	9	instability	instability	NOUN
ap-1751	6	10	growth	growth	NOUN
ap-1751	6	11	rate	rate	NOUN
ap-1751	6	12	dependence	dependence	NOUN
ap-1751	6	13	on	on	ADP
ap-1751	6	14	various	various	ADJ
ap-1751	6	15	input	input	NOUN
ap-1751	6	16	parameters	parameter	NOUN
ap-1751	6	17	,	,	PUNCT
ap-1751	6	18	such	such	ADJ
ap-1751	6	19	as	as	ADP
ap-1751	6	20	magnitude	magnitude	NOUN
ap-1751	6	21	of	of	ADP
ap-1751	6	22	a	a	DET
ap-1751	6	23	magnetic	magnetic	ADJ
ap-1751	6	24	field	field	NOUN
ap-1751	6	25	and	and	CCONJ
ap-1751	6	26	sound	sound	ADJ
ap-1751	6	27	velocity	velocity	NOUN
ap-1751	6	28	.	.	PUNCT
ap-1751	7	1	the	the	DET
ap-1751	7	2	results	result	NOUN
ap-1751	7	3	are	be	AUX
ap-1751	7	4	presented	present	VERB
ap-1751	7	5	in	in	ADP
ap-1751	7	6	well	well	ADV
ap-1751	7	7	-	-	PUNCT
ap-1751	7	8	arranged	arrange	VERB
ap-1751	7	9	plots	plot	NOUN
ap-1751	7	10	and	and	CCONJ
ap-1751	7	11	can	can	AUX
ap-1751	7	12	be	be	AUX
ap-1751	7	13	used	use	VERB
ap-1751	7	14	for	for	ADP
ap-1751	7	15	a	a	DET
ap-1751	7	16	survey	survey	NOUN
ap-1751	7	17	of	of	ADP
ap-1751	7	18	the	the	DET
ap-1751	7	19	plasma	plasma	NOUN
ap-1751	7	20	parameters	parameter	NOUN
ap-1751	7	21	close	close	ADJ
ap-1751	7	22	to	to	ADP
ap-1751	7	23	which	which	PRON
ap-1751	7	24	the	the	DET
ap-1751	7	25	strong	strong	ADJ
ap-1751	7	26	energy	energy	NOUN
ap-1751	7	27	transfer	transfer	NOUN
ap-1751	7	28	and	and	CCONJ
ap-1751	7	29	thermalization	thermalization	NOUN
ap-1751	7	30	between	between	ADP
ap-1751	7	31	the	the	DET
ap-1751	7	32	beam	beam	NOUN
ap-1751	7	33	and	and	CCONJ
ap-1751	7	34	the	the	DET
ap-1751	7	35	target	target	NOUN
ap-1751	7	36	occurs	occur	VERB
ap-1751	7	37	.	.	PUNCT
ap-1751	8	1	keywords	keyword	NOUN
ap-1751	8	2	:	:	PUNCT
ap-1751	8	3	buneman	buneman	PROPN
ap-1751	8	4	instability	instability	NOUN
ap-1751	8	5	,	,	PUNCT
ap-1751	8	6	numerical	numerical	ADJ
ap-1751	8	7	simulations	simulation	NOUN
ap-1751	8	8	,	,	PUNCT
ap-1751	8	9	plasma	plasma	NOUN
ap-1751	8	10	,	,	PUNCT
ap-1751	8	11	dispersion	dispersion	NOUN
ap-1751	8	12	relation	relation	NOUN
ap-1751	8	13	.	.	PUNCT
ap-1751	9	1	1	1	X
ap-1751	9	2	.	.	X
ap-1751	9	3	introduction	introduction	NOUN
ap-1751	9	4	two	two	NUM
ap-1751	9	5	-	-	PUNCT
ap-1751	9	6	stream	stream	NOUN
ap-1751	9	7	instabilities	instability	NOUN
ap-1751	9	8	are	be	AUX
ap-1751	9	9	the	the	DET
ap-1751	9	10	most	most	ADV
ap-1751	9	11	common	common	ADJ
ap-1751	9	12	instabilities	instability	NOUN
ap-1751	9	13	in	in	ADP
ap-1751	9	14	plasmas	plasma	NOUN
ap-1751	9	15	which	which	PRON
ap-1751	9	16	originate	originate	VERB
ap-1751	9	17	on	on	ADP
ap-1751	9	18	the	the	DET
ap-1751	9	19	microscopic	microscopic	ADJ
ap-1751	9	20	scale	scale	NOUN
ap-1751	9	21	and	and	CCONJ
ap-1751	9	22	which	which	PRON
ap-1751	9	23	can	can	AUX
ap-1751	9	24	develop	develop	VERB
ap-1751	9	25	to	to	ADP
ap-1751	9	26	macroscopic	macroscopic	ADJ
ap-1751	9	27	phenomena	phenomenon	NOUN
ap-1751	9	28	like	like	ADP
ap-1751	9	29	a	a	DET
ap-1751	9	30	thermal	thermal	ADJ
ap-1751	9	31	radiaton	radiaton	NOUN
ap-1751	9	32	from	from	ADP
ap-1751	9	33	strong	strong	ADJ
ap-1751	9	34	thermalization	thermalization	NOUN
ap-1751	9	35	or	or	CCONJ
ap-1751	9	36	non	non	ADJ
ap-1751	9	37	-	-	ADJ
ap-1751	9	38	thermal	thermal	ADJ
ap-1751	9	39	radiaton	radiaton	NOUN
ap-1751	9	40	from	from	ADP
ap-1751	9	41	reconnections	reconnection	NOUN
ap-1751	9	42	.	.	PUNCT
ap-1751	10	1	if	if	SCONJ
ap-1751	10	2	we	we	PRON
ap-1751	10	3	consider	consider	VERB
ap-1751	10	4	that	that	SCONJ
ap-1751	10	5	both	both	DET
ap-1751	10	6	streams	stream	NOUN
ap-1751	10	7	have	have	VERB
ap-1751	10	8	parallel	parallel	ADJ
ap-1751	10	9	direction	direction	NOUN
ap-1751	10	10	of	of	ADP
ap-1751	10	11	their	their	PRON
ap-1751	10	12	velocities	velocity	NOUN
ap-1751	10	13	,	,	PUNCT
ap-1751	10	14	we	we	PRON
ap-1751	10	15	talk	talk	VERB
ap-1751	10	16	about	about	ADP
ap-1751	10	17	buneman	buneman	NOUN
ap-1751	10	18	instability	instability	NOUN
ap-1751	10	19	[	[	X
ap-1751	10	20	1	1	NUM
ap-1751	10	21	]	]	PUNCT
ap-1751	10	22	and	and	CCONJ
ap-1751	10	23	if	if	SCONJ
ap-1751	10	24	we	we	PRON
ap-1751	10	25	consider	consider	VERB
ap-1751	10	26	intersecting	intersecting	ADJ
ap-1751	10	27	directions	direction	NOUN
ap-1751	10	28	of	of	ADP
ap-1751	10	29	velocities	velocity	NOUN
ap-1751	10	30	and	and	CCONJ
ap-1751	10	31	anisotropy	anisotropy	NOUN
ap-1751	10	32	of	of	ADP
ap-1751	10	33	temperatures	temperature	NOUN
ap-1751	10	34	,	,	PUNCT
ap-1751	10	35	we	we	PRON
ap-1751	10	36	talk	talk	VERB
ap-1751	10	37	about	about	ADP
ap-1751	10	38	weibel	weibel	NOUN
ap-1751	10	39	instability	instability	NOUN
ap-1751	10	40	[	[	X
ap-1751	10	41	8	8	NUM
ap-1751	10	42	]	]	PUNCT
ap-1751	10	43	.	.	PUNCT
ap-1751	11	1	the	the	DET
ap-1751	11	2	dispersion	dispersion	NOUN
ap-1751	11	3	relation	relation	NOUN
ap-1751	11	4	for	for	ADP
ap-1751	11	5	two	two	NUM
ap-1751	11	6	-	-	PUNCT
ap-1751	11	7	stream	stream	NOUN
ap-1751	11	8	instability	instability	NOUN
ap-1751	11	9	without	without	ADP
ap-1751	11	10	magnetic	magnetic	ADJ
ap-1751	11	11	field	field	NOUN
ap-1751	11	12	in	in	ADP
ap-1751	11	13	cold	cold	ADJ
ap-1751	11	14	plasma	plasma	NOUN
ap-1751	11	15	is	be	AUX
ap-1751	11	16	described	describe	VERB
ap-1751	11	17	by	by	ADP
ap-1751	11	18	the	the	DET
ap-1751	11	19	relation	relation	NOUN
ap-1751	11	20	2∑	2∑	NUM
ap-1751	11	21	α=1	α=1	X
ap-1751	11	22	ωpα	ωpα	NOUN
ap-1751	11	23	(	(	PUNCT
ap-1751	11	24	ω	ω	NOUN
ap-1751	11	25	−	−	PROPN
ap-1751	11	26	k	k	PROPN
ap-1751	11	27	·	·	PUNCT
ap-1751	11	28	u0α)2	u0α)2	PROPN
ap-1751	11	29	=	=	SYM
ap-1751	11	30	1	1	NUM
ap-1751	11	31	,	,	PUNCT
ap-1751	11	32	(	(	PUNCT
ap-1751	11	33	1	1	X
ap-1751	11	34	)	)	PUNCT
ap-1751	11	35	where	where	SCONJ
ap-1751	11	36	ω	ω	PROPN
ap-1751	11	37	is	be	AUX
ap-1751	11	38	the	the	DET
ap-1751	11	39	wave	wave	NOUN
ap-1751	11	40	frequency	frequency	NOUN
ap-1751	11	41	,	,	PUNCT
ap-1751	11	42	ωpα	ωpα	ADJ
ap-1751	11	43	is	be	AUX
ap-1751	11	44	the	the	DET
ap-1751	11	45	plasma	plasma	NOUN
ap-1751	11	46	frequency	frequency	NOUN
ap-1751	11	47	of	of	ADP
ap-1751	11	48	the	the	DET
ap-1751	11	49	first	first	ADJ
ap-1751	11	50	and	and	CCONJ
ap-1751	11	51	second	second	ADJ
ap-1751	11	52	stream	stream	NOUN
ap-1751	11	53	respectively	respectively	ADV
ap-1751	11	54	,	,	PUNCT
ap-1751	11	55	k	k	PROPN
ap-1751	11	56	is	be	AUX
ap-1751	11	57	the	the	DET
ap-1751	11	58	wave	wave	NOUN
ap-1751	11	59	vector	vector	NOUN
ap-1751	11	60	,	,	PUNCT
ap-1751	11	61	and	and	CCONJ
ap-1751	11	62	u0α	u0α	PROPN
ap-1751	11	63	is	be	AUX
ap-1751	11	64	the	the	DET
ap-1751	11	65	vector	vector	NOUN
ap-1751	11	66	of	of	ADP
ap-1751	11	67	the	the	DET
ap-1751	11	68	velocity	velocity	NOUN
ap-1751	11	69	for	for	ADP
ap-1751	11	70	the	the	DET
ap-1751	11	71	first	first	ADJ
ap-1751	11	72	and	and	CCONJ
ap-1751	11	73	the	the	DET
ap-1751	11	74	second	second	ADJ
ap-1751	11	75	stream	stream	NOUN
ap-1751	11	76	respectively	respectively	ADV
ap-1751	11	77	.	.	PUNCT
ap-1751	12	1	the	the	DET
ap-1751	12	2	most	most	ADV
ap-1751	12	3	simple	simple	ADJ
ap-1751	12	4	situation	situation	NOUN
ap-1751	12	5	,	,	PUNCT
ap-1751	12	6	in	in	ADP
ap-1751	12	7	which	which	PRON
ap-1751	12	8	we	we	PRON
ap-1751	12	9	can	can	AUX
ap-1751	12	10	use	use	VERB
ap-1751	12	11	this	this	DET
ap-1751	12	12	relation	relation	NOUN
ap-1751	12	13	,	,	PUNCT
ap-1751	12	14	is	be	AUX
ap-1751	12	15	the	the	DET
ap-1751	12	16	interaction	interaction	NOUN
ap-1751	12	17	of	of	ADP
ap-1751	12	18	two	two	NUM
ap-1751	12	19	identical	identical	ADJ
ap-1751	12	20	streams	stream	NOUN
ap-1751	12	21	moving	move	VERB
ap-1751	12	22	in	in	ADP
ap-1751	12	23	opposite	opposite	ADJ
ap-1751	12	24	directions	direction	NOUN
ap-1751	12	25	.	.	PUNCT
ap-1751	13	1	equation	equation	NOUN
ap-1751	13	2	1	1	NUM
ap-1751	13	3	has	have	VERB
ap-1751	13	4	simple	simple	ADJ
ap-1751	13	5	one	one	NUM
ap-1751	13	6	dimensional	dimensional	ADJ
ap-1751	13	7	form	form	NOUN
ap-1751	13	8	[	[	X
ap-1751	13	9	4	4	NUM
ap-1751	13	10	]	]	PUNCT
ap-1751	13	11	ω2	ω2	ADJ
ap-1751	13	12	p	p	X
ap-1751	13	13	(	(	PUNCT
ap-1751	13	14	ω	ω	NOUN
ap-1751	14	1	−	−	PROPN
ap-1751	14	2	ku0)2	ku0)2	PROPN
ap-1751	14	3	+	+	CCONJ
ap-1751	14	4	ω2	ω2	ADJ
ap-1751	14	5	p	p	X
ap-1751	14	6	(	(	PUNCT
ap-1751	14	7	ω	ω	PROPN
ap-1751	14	8	+	+	NUM
ap-1751	14	9	ku0)2	ku0)2	PROPN
ap-1751	14	10	=	=	SYM
ap-1751	14	11	1	1	X
ap-1751	14	12	.	.	PUNCT
ap-1751	15	1	(	(	PUNCT
ap-1751	15	2	2	2	X
ap-1751	15	3	)	)	PUNCT
ap-1751	15	4	the	the	DET
ap-1751	15	5	two	two	NUM
ap-1751	15	6	-	-	PUNCT
ap-1751	15	7	stream	stream	NOUN
ap-1751	15	8	instabilities	instability	NOUN
ap-1751	15	9	are	be	AUX
ap-1751	15	10	usually	usually	ADV
ap-1751	15	11	used	use	VERB
ap-1751	15	12	for	for	ADP
ap-1751	15	13	the	the	DET
ap-1751	15	14	study	study	NOUN
ap-1751	15	15	of	of	ADP
ap-1751	15	16	the	the	DET
ap-1751	15	17	origin	origin	NOUN
ap-1751	15	18	of	of	ADP
ap-1751	15	19	the	the	DET
ap-1751	15	20	observed	observe	VERB
ap-1751	15	21	macroscopic	macroscopic	ADJ
ap-1751	15	22	phenomena	phenomenon	NOUN
ap-1751	15	23	(	(	PUNCT
ap-1751	15	24	e.g.	e.g.	ADV
ap-1751	15	25	particle	particle	NOUN
ap-1751	15	26	acceleration	acceleration	NOUN
ap-1751	15	27	in	in	ADP
ap-1751	15	28	relativistic	relativistic	ADJ
ap-1751	15	29	plasma	plasma	NOUN
ap-1751	15	30	shocks	shock	NOUN
ap-1751	15	31	[	[	X
ap-1751	15	32	6	6	NUM
ap-1751	15	33	]	]	PUNCT
ap-1751	15	34	)	)	PUNCT
ap-1751	15	35	.	.	PUNCT
ap-1751	16	1	this	this	DET
ap-1751	16	2	paper	paper	NOUN
ap-1751	16	3	is	be	AUX
ap-1751	16	4	focused	focus	VERB
ap-1751	16	5	on	on	ADP
ap-1751	16	6	the	the	DET
ap-1751	16	7	general	general	ADJ
ap-1751	16	8	study	study	NOUN
ap-1751	16	9	of	of	ADP
ap-1751	16	10	the	the	DET
ap-1751	16	11	plasma	plasma	NOUN
ap-1751	16	12	jet	jet	NOUN
ap-1751	16	13	interaction	interaction	NOUN
ap-1751	16	14	on	on	ADP
ap-1751	16	15	the	the	DET
ap-1751	16	16	microscopic	microscopic	ADJ
ap-1751	16	17	scale	scale	NOUN
ap-1751	16	18	(	(	PUNCT
ap-1751	16	19	not	not	PART
ap-1751	16	20	only	only	ADV
ap-1751	16	21	on	on	ADP
ap-1751	16	22	the	the	DET
ap-1751	16	23	study	study	NOUN
ap-1751	16	24	of	of	ADP
ap-1751	16	25	one	one	NUM
ap-1751	16	26	particular	particular	ADJ
ap-1751	16	27	phenomenon	phenomenon	NOUN
ap-1751	16	28	origin	origin	NOUN
ap-1751	16	29	)	)	PUNCT
ap-1751	16	30	and	and	CCONJ
ap-1751	16	31	for	for	ADP
ap-1751	16	32	this	this	DET
ap-1751	16	33	case	case	NOUN
ap-1751	16	34	the	the	DET
ap-1751	16	35	general	general	ADJ
ap-1751	16	36	dispersion	dispersion	NOUN
ap-1751	16	37	relation	relation	NOUN
ap-1751	16	38	is	be	AUX
ap-1751	16	39	needed	need	VERB
ap-1751	16	40	.	.	PUNCT
ap-1751	17	1	two	two	NUM
ap-1751	17	2	generalizations	generalization	NOUN
ap-1751	17	3	of	of	ADP
ap-1751	17	4	the	the	DET
ap-1751	17	5	two	two	NUM
ap-1751	17	6	-	-	PUNCT
ap-1751	17	7	stream	stream	NOUN
ap-1751	17	8	instability	instability	NOUN
ap-1751	17	9	dispersion	dispersion	NOUN
ap-1751	17	10	relation	relation	NOUN
ap-1751	17	11	were	be	AUX
ap-1751	17	12	done	do	VERB
ap-1751	17	13	in	in	ADP
ap-1751	17	14	last	last	ADJ
ap-1751	17	15	years	year	NOUN
ap-1751	17	16	,	,	PUNCT
ap-1751	17	17	first	first	ADV
ap-1751	17	18	was	be	AUX
ap-1751	17	19	done	do	VERB
ap-1751	17	20	by	by	ADP
ap-1751	17	21	kulhánek	kulhánek	ADJ
ap-1751	17	22	,	,	PUNCT
ap-1751	17	23	břeň	břeň	NOUN
ap-1751	17	24	and	and	CCONJ
ap-1751	17	25	bohata	bohata	NOUN
ap-1751	17	26	[	[	X
ap-1751	17	27	5	5	NUM
ap-1751	17	28	]	]	PUNCT
ap-1751	17	29	in	in	ADP
ap-1751	17	30	2011	2011	NUM
ap-1751	17	31	and	and	CCONJ
ap-1751	17	32	second	second	ADJ
ap-1751	17	33	was	be	AUX
ap-1751	17	34	done	do	VERB
ap-1751	17	35	by	by	ADP
ap-1751	17	36	pokhotelov	pokhotelov	NOUN
ap-1751	17	37	and	and	CCONJ
ap-1751	17	38	balikhin	balikhin	NOUN
ap-1751	18	1	[	[	X
ap-1751	18	2	7	7	NUM
ap-1751	18	3	]	]	PUNCT
ap-1751	18	4	in	in	ADP
ap-1751	18	5	2012	2012	NUM
ap-1751	18	6	.	.	PUNCT
ap-1751	19	1	in	in	ADP
ap-1751	19	2	this	this	DET
ap-1751	19	3	paper	paper	NOUN
ap-1751	19	4	we	we	PRON
ap-1751	19	5	do	do	VERB
ap-1751	19	6	all	all	DET
ap-1751	19	7	the	the	DET
ap-1751	19	8	calculations	calculation	NOUN
ap-1751	19	9	from	from	ADP
ap-1751	19	10	[	[	X
ap-1751	19	11	5	5	NUM
ap-1751	19	12	]	]	PUNCT
ap-1751	19	13	,	,	PUNCT
ap-1751	19	14	because	because	SCONJ
ap-1751	19	15	the	the	DET
ap-1751	19	16	generalization	generalization	NOUN
ap-1751	19	17	is	be	AUX
ap-1751	19	18	more	more	ADV
ap-1751	19	19	rigorous	rigorous	ADJ
ap-1751	19	20	and	and	CCONJ
ap-1751	19	21	precise	precise	ADJ
ap-1751	19	22	.	.	PUNCT
ap-1751	20	1	the	the	DET
ap-1751	20	2	authors	author	NOUN
ap-1751	20	3	called	call	VERB
ap-1751	20	4	it	it	PRON
ap-1751	20	5	generalized	generalized	ADJ
ap-1751	20	6	buneman	buneman	ADJ
ap-1751	20	7	dispersion	dispersion	NOUN
ap-1751	20	8	relation	relation	NOUN
ap-1751	20	9	(	(	PUNCT
ap-1751	20	10	gbdr	gbdr	NOUN
ap-1751	20	11	)	)	PUNCT
ap-1751	20	12	and	and	CCONJ
ap-1751	20	13	it	it	PRON
ap-1751	20	14	is	be	AUX
ap-1751	20	15	described	describe	VERB
ap-1751	20	16	by	by	ADP
ap-1751	20	17	equation	equation	NOUN
ap-1751	20	18	2∏	2∏	NUM
ap-1751	20	19	α=1	α=1	X
ap-1751	20	20	{	{	PUNCT
ap-1751	21	1	ω4	ω4	NUM
ap-1751	21	2	α	α	NOUN
ap-1751	21	3	−ω2	−ω2	NOUN
ap-1751	21	4	α	α	PROPN
ap-1751	21	5	[	[	PUNCT
ap-1751	21	6	if	if	SCONJ
ap-1751	21	7	(	(	PUNCT
ap-1751	21	8	0	0	NUM
ap-1751	21	9	)	)	PUNCT
ap-1751	21	10	α	α	NOUN
ap-1751	21	11	·	·	PUNCT
ap-1751	21	12	k	k	X
ap-1751	21	13	mα	mα	PROPN
ap-1751	22	1	+	+	CCONJ
ap-1751	22	2	c2	c2	PROPN
ap-1751	22	3	sαk	sαk	VERB
ap-1751	22	4	2	2	NUM
ap-1751	22	5	+	+	CCONJ
ap-1751	23	1	ω2	ω2	ADJ
ap-1751	23	2	pα	pα	NOUN
ap-1751	24	1	+	+	CCONJ
ap-1751	24	2	ω2	ω2	ADJ
ap-1751	24	3	cα	cα	ADP
ap-1751	24	4	]	]	PUNCT
ap-1751	24	5	−ωαωcα	−ωαωcα	PROPN
ap-1751	24	6	mα	mα	PROPN
ap-1751	24	7	(	(	PUNCT
ap-1751	24	8	f(0	f(0	NOUN
ap-1751	24	9	)	)	PUNCT
ap-1751	24	10	α	α	NOUN
ap-1751	24	11	×	×	NOUN
ap-1751	24	12	k	k	PROPN
ap-1751	24	13	)	)	PUNCT
ap-1751	24	14	·	·	PUNCT
ap-1751	25	1	eb	eb	PROPN
ap-1751	25	2	+	+	CCONJ
ap-1751	25	3	ω2	ω2	ADJ
ap-1751	25	4	cα(k	cα(k	X
ap-1751	25	5	·	·	PUNCT
ap-1751	25	6	eb	eb	X
ap-1751	25	7	)	)	PUNCT
ap-1751	25	8	[	[	PUNCT
ap-1751	25	9	if	if	SCONJ
ap-1751	25	10	(	(	PUNCT
ap-1751	25	11	0	0	X
ap-1751	25	12	)	)	PUNCT
ap-1751	25	13	α	α	PROPN
ap-1751	25	14	·	·	PUNCT
ap-1751	25	15	eb	eb	PROPN
ap-1751	25	16	mα	mα	PROPN
ap-1751	26	1	+	+	CCONJ
ap-1751	26	2	(	(	PUNCT
ap-1751	26	3	c2	c2	PROPN
ap-1751	26	4	sαk	sαk	VERB
ap-1751	26	5	2	2	NUM
ap-1751	26	6	+	+	CCONJ
ap-1751	26	7	ω2	ω2	ADJ
ap-1751	26	8	pα	pα	INTJ
ap-1751	26	9	)	)	PUNCT
ap-1751	27	1	k	k	PROPN
ap-1751	27	2	·	·	PUNCT
ap-1751	27	3	eb	eb	PROPN
ap-1751	27	4	k2	k2	PROPN
ap-1751	27	5	]	]	PUNCT
ap-1751	27	6	}	}	PUNCT
ap-1751	27	7	−	−	PROPN
ap-1751	27	8	2∏	2∏	NUM
ap-1751	27	9	α=1	α=1	NOUN
ap-1751	27	10	ω2	ω2	ADJ
ap-1751	27	11	pα	pα	PROPN
ap-1751	27	12	k2	k2	PROPN
ap-1751	27	13	[	[	PUNCT
ap-1751	27	14	ω2	ω2	ADJ
ap-1751	27	15	αk	αk	INTJ
ap-1751	27	16	2	2	NUM
ap-1751	27	17	−	−	PROPN
ap-1751	27	18	ω2	ω2	ADJ
ap-1751	27	19	cα	cα	PROPN
ap-1751	27	20	(	(	PUNCT
ap-1751	27	21	eb	eb	PROPN
ap-1751	27	22	·	·	PUNCT
ap-1751	27	23	k)2	k)2	PROPN
ap-1751	27	24	]	]	PUNCT
ap-1751	28	1	=	=	PUNCT
ap-1751	28	2	0	0	NUM
ap-1751	28	3	,	,	PUNCT
ap-1751	28	4	(	(	PUNCT
ap-1751	28	5	3	3	X
ap-1751	28	6	)	)	PUNCT
ap-1751	28	7	where	where	SCONJ
ap-1751	28	8	ωα	ωα	ADP
ap-1751	28	9	=	=	SYM
ap-1751	28	10	ω	ω	PROPN
ap-1751	28	11	−	−	PROPN
ap-1751	28	12	k	k	PROPN
ap-1751	28	13	·	·	PUNCT
ap-1751	28	14	u(0	u(0	NOUN
ap-1751	28	15	)	)	PUNCT
ap-1751	28	16	α	α	PROPN
ap-1751	28	17	,	,	PUNCT
ap-1751	28	18	(	(	PUNCT
ap-1751	28	19	4	4	X
ap-1751	28	20	)	)	PUNCT
ap-1751	28	21	ωcα	ωcα	NOUN
ap-1751	28	22	is	be	AUX
ap-1751	28	23	the	the	DET
ap-1751	28	24	cyclotron	cyclotron	NOUN
ap-1751	28	25	frequency	frequency	NOUN
ap-1751	28	26	,	,	PUNCT
ap-1751	28	27	f(0	f(0	NOUN
ap-1751	28	28	)	)	PUNCT
ap-1751	28	29	α	α	PROPN
ap-1751	28	30	is	be	AUX
ap-1751	28	31	the	the	DET
ap-1751	28	32	lorentz	lorentz	PROPN
ap-1751	28	33	magnetic	magnetic	ADJ
ap-1751	28	34	force	force	NOUN
ap-1751	28	35	,	,	PUNCT
ap-1751	28	36	eb	eb	PROPN
ap-1751	28	37	is	be	AUX
ap-1751	28	38	the	the	DET
ap-1751	28	39	unit	unit	NOUN
ap-1751	28	40	vector	vector	NOUN
ap-1751	28	41	in	in	ADP
ap-1751	28	42	the	the	DET
ap-1751	28	43	direction	direction	NOUN
ap-1751	28	44	of	of	ADP
ap-1751	28	45	magnetic	magnetic	ADJ
ap-1751	28	46	field	field	NOUN
ap-1751	28	47	and	and	CCONJ
ap-1751	28	48	csα	csα	NOUN
ap-1751	28	49	is	be	AUX
ap-1751	28	50	the	the	DET
ap-1751	28	51	sound	sound	ADJ
ap-1751	28	52	velocity	velocity	NOUN
ap-1751	28	53	.	.	PUNCT
ap-1751	29	1	for	for	ADP
ap-1751	29	2	b	b	NOUN
ap-1751	29	3	=	=	SYM
ap-1751	29	4	0	0	NUM
ap-1751	29	5	and	and	CCONJ
ap-1751	29	6	cold	cold	ADJ
ap-1751	29	7	plasma	plasma	NOUN
ap-1751	29	8	limit	limit	NOUN
ap-1751	29	9	csα	csα	NOUN
ap-1751	29	10	=	=	SYM
ap-1751	29	11	0	0	NUM
ap-1751	29	12	,	,	PUNCT
ap-1751	29	13	the	the	DET
ap-1751	29	14	generalized	generalized	ADJ
ap-1751	29	15	relation	relation	NOUN
ap-1751	29	16	becomes	become	VERB
ap-1751	29	17	the	the	DET
ap-1751	29	18	eq	eq	NOUN
ap-1751	29	19	.	.	PROPN
ap-1751	29	20	1	1	NUM
ap-1751	29	21	.	.	X
ap-1751	30	1	for	for	ADP
ap-1751	30	2	its	its	PRON
ap-1751	30	3	analysis	analysis	NOUN
ap-1751	30	4	it	it	PRON
ap-1751	30	5	is	be	AUX
ap-1751	30	6	useful	useful	ADJ
ap-1751	30	7	to	to	PART
ap-1751	30	8	convert	convert	VERB
ap-1751	30	9	this	this	DET
ap-1751	30	10	relation	relation	NOUN
ap-1751	30	11	to	to	ADP
ap-1751	30	12	a	a	DET
ap-1751	30	13	non	non	ADJ
ap-1751	30	14	-	-	ADJ
ap-1751	30	15	dimensional	dimensional	ADJ
ap-1751	30	16	form	form	NOUN
ap-1751	30	17	to	to	PART
ap-1751	30	18	ensure	ensure	VERB
ap-1751	30	19	the	the	DET
ap-1751	30	20	scale	scale	NOUN
ap-1751	30	21	invariance	invariance	NOUN
ap-1751	30	22	of	of	ADP
ap-1751	30	23	the	the	DET
ap-1751	30	24	results	result	NOUN
ap-1751	30	25	.	.	PUNCT
ap-1751	31	1	the	the	DET
ap-1751	31	2	system	system	NOUN
ap-1751	31	3	of	of	ADP
ap-1751	31	4	coordinates	coordinate	NOUN
ap-1751	31	5	used	use	VERB
ap-1751	31	6	in	in	ADP
ap-1751	31	7	the	the	DET
ap-1751	31	8	solution	solution	NOUN
ap-1751	31	9	is	be	AUX
ap-1751	31	10	in	in	ADP
ap-1751	31	11	fig	fig	NOUN
ap-1751	31	12	.	.	PUNCT
ap-1751	32	1	1	1	NUM
ap-1751	32	2	.	.	X
ap-1751	32	3	174	174	NUM
ap-1751	32	4	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1751	32	5	vol	vol	NOUN
ap-1751	32	6	.	.	PUNCT
ap-1751	33	1	53	53	NUM
ap-1751	33	2	no	no	NOUN
ap-1751	33	3	.	.	PUNCT
ap-1751	34	1	2/2013	2/2013	NUM
ap-1751	34	2	instability	instability	NOUN
ap-1751	34	3	growth	growth	NOUN
ap-1751	34	4	rate	rate	NOUN
ap-1751	34	5	dependence	dependence	NOUN
ap-1751	34	6	the	the	DET
ap-1751	34	7	directions	direction	NOUN
ap-1751	34	8	of	of	ADP
ap-1751	34	9	the	the	DET
ap-1751	34	10	vectors	vector	NOUN
ap-1751	34	11	uα	uα	PROPN
ap-1751	34	12	,	,	PUNCT
ap-1751	34	13	b	b	PROPN
ap-1751	34	14	and	and	CCONJ
ap-1751	34	15	k	k	PROPN
ap-1751	34	16	are	be	AUX
ap-1751	34	17	presented	present	VERB
ap-1751	34	18	in	in	ADP
ap-1751	34	19	fig	fig	NOUN
ap-1751	34	20	.	.	PUNCT
ap-1751	35	1	1	1	NUM
ap-1751	35	2	in	in	ADP
ap-1751	35	3	the	the	DET
ap-1751	35	4	case	case	NOUN
ap-1751	35	5	of	of	ADP
ap-1751	35	6	our	our	PRON
ap-1751	35	7	coordinates	coordinate	NOUN
ap-1751	35	8	system	system	NOUN
ap-1751	35	9	.	.	PUNCT
ap-1751	36	1	the	the	DET
ap-1751	36	2	wavevector	wavevector	NOUN
ap-1751	36	3	can	can	AUX
ap-1751	36	4	have	have	VERB
ap-1751	36	5	any	any	DET
ap-1751	36	6	direction	direction	NOUN
ap-1751	36	7	,	,	PUNCT
ap-1751	36	8	the	the	DET
ap-1751	36	9	magnetic	magnetic	ADJ
ap-1751	36	10	field	field	NOUN
ap-1751	36	11	is	be	AUX
ap-1751	36	12	only	only	ADV
ap-1751	36	13	in	in	ADP
ap-1751	36	14	the	the	DET
ap-1751	36	15	(	(	PUNCT
ap-1751	36	16	x	x	NOUN
ap-1751	36	17	–	–	PUNCT
ap-1751	36	18	z	z	NOUN
ap-1751	36	19	)	)	PUNCT
ap-1751	36	20	plane	plane	NOUN
ap-1751	36	21	and	and	CCONJ
ap-1751	36	22	the	the	DET
ap-1751	36	23	velocity	velocity	NOUN
ap-1751	36	24	vectors	vector	NOUN
ap-1751	36	25	of	of	ADP
ap-1751	36	26	the	the	DET
ap-1751	36	27	streams	stream	NOUN
ap-1751	36	28	are	be	AUX
ap-1751	36	29	only	only	ADV
ap-1751	36	30	along	along	ADP
ap-1751	36	31	the	the	DET
ap-1751	36	32	x	x	NOUN
ap-1751	36	33	-	-	NOUN
ap-1751	36	34	axis	axis	ADJ
ap-1751	36	35	.	.	PUNCT
ap-1751	37	1	these	these	DET
ap-1751	37	2	vectors	vector	NOUN
ap-1751	37	3	have	have	VERB
ap-1751	37	4	coordinates	coordinate	NOUN
ap-1751	37	5	uα	uα	PROPN
ap-1751	37	6	=	=	SYM
ap-1751	37	7	(	(	PUNCT
ap-1751	37	8	uα	uα	PROPN
ap-1751	37	9	,	,	PUNCT
ap-1751	37	10	0	0	NUM
ap-1751	37	11	,	,	PUNCT
ap-1751	37	12	0	0	NUM
ap-1751	37	13	)	)	PUNCT
ap-1751	37	14	,	,	PUNCT
ap-1751	37	15	b	b	X
ap-1751	37	16	=	=	SYM
ap-1751	37	17	(	(	PUNCT
ap-1751	37	18	b	b	PROPN
ap-1751	37	19	sin	sin	NOUN
ap-1751	37	20	θb	θb	PROPN
ap-1751	37	21	,	,	PUNCT
ap-1751	37	22	0	0	NUM
ap-1751	37	23	,	,	PUNCT
ap-1751	37	24	b	b	PROPN
ap-1751	37	25	cos	cos	PROPN
ap-1751	37	26	θb	θb	PROPN
ap-1751	37	27	)	)	PUNCT
ap-1751	37	28	,	,	PUNCT
ap-1751	37	29	k	k	X
ap-1751	38	1	=	=	PRON
ap-1751	38	2	(	(	PUNCT
ap-1751	38	3	k	k	X
ap-1751	38	4	cosϕ	cosϕ	NOUN
ap-1751	38	5	sin	sin	NOUN
ap-1751	38	6	θk	θk	NOUN
ap-1751	38	7	,	,	PUNCT
ap-1751	38	8	k	k	PROPN
ap-1751	38	9	sinϕ	sinϕ	PROPN
ap-1751	38	10	sin	sin	PROPN
ap-1751	38	11	θk	θk	PROPN
ap-1751	38	12	,	,	PUNCT
ap-1751	38	13	k	k	PROPN
ap-1751	38	14	cos	cos	PROPN
ap-1751	38	15	θk	θk	PROPN
ap-1751	38	16	)	)	PUNCT
ap-1751	38	17	.	.	PUNCT
ap-1751	39	1	1.1	1.1	NUM
ap-1751	39	2	.	.	PUNCT
ap-1751	40	1	the	the	DET
ap-1751	40	2	non	non	ADJ
ap-1751	40	3	-	-	ADJ
ap-1751	40	4	dimensional	dimensional	ADJ
ap-1751	40	5	form	form	NOUN
ap-1751	40	6	non	non	ADJ
ap-1751	40	7	-	-	ADJ
ap-1751	40	8	dimensional	dimensional	ADJ
ap-1751	40	9	variables	variable	NOUN
ap-1751	40	10	are	be	AUX
ap-1751	40	11	defined	define	VERB
ap-1751	40	12	by	by	ADP
ap-1751	40	13	relations	relation	NOUN
ap-1751	40	14	[	[	X
ap-1751	40	15	2	2	NUM
ap-1751	40	16	]	]	PUNCT
ap-1751	40	17	cs1	cs1	PROPN
ap-1751	40	18	≡	≡	PROPN
ap-1751	40	19	cs1	cs1	PROPN
ap-1751	40	20	u1	u1	PROPN
ap-1751	40	21	,	,	PUNCT
ap-1751	40	22	cs2	cs2	PROPN
ap-1751	40	23	≡	≡	PROPN
ap-1751	40	24	cs2	cs2	PROPN
ap-1751	40	25	u1	u1	PROPN
ap-1751	40	26	,	,	PUNCT
ap-1751	40	27	ωc1	ωc1	PROPN
ap-1751	40	28	≡	≡	PROPN
ap-1751	40	29	ωc1	ωc1	X
ap-1751	40	30	ωp2	ωp2	NOUN
ap-1751	40	31	,	,	PUNCT
ap-1751	40	32	ωc2	ωc2	PROPN
ap-1751	40	33	≡	≡	PROPN
ap-1751	40	34	ωc2	ωc2	X
ap-1751	40	35	ωp2	ωp2	PROPN
ap-1751	40	36	,	,	PUNCT
ap-1751	40	37	ωp1	ωp1	PROPN
ap-1751	40	38	≡	≡	PROPN
ap-1751	40	39	ωp1	ωp1	PROPN
ap-1751	40	40	ωp2	ωp2	NOUN
ap-1751	40	41	,	,	PUNCT
ap-1751	40	42	ωp2	ωp2	PRON
ap-1751	40	43	≡	≡	PROPN
ap-1751	40	44	ωp2	ωp2	PRON
ap-1751	40	45	ωp2	ωp2	X
ap-1751	40	46	=	=	SYM
ap-1751	40	47	1	1	NUM
ap-1751	40	48	,	,	PUNCT
ap-1751	40	49	u2	u2	PROPN
ap-1751	40	50	≡	≡	PROPN
ap-1751	40	51	u2	u2	PROPN
ap-1751	40	52	u1	u1	PROPN
ap-1751	40	53	,	,	PUNCT
ap-1751	40	54	u1	u1	PROPN
ap-1751	40	55	≡	≡	PROPN
ap-1751	40	56	u1	u1	NOUN
ap-1751	40	57	u1	u1	NOUN
ap-1751	40	58	=	=	SYM
ap-1751	40	59	1	1	NUM
ap-1751	40	60	,	,	PUNCT
ap-1751	40	61	k	k	PROPN
ap-1751	40	62	≡	≡	PROPN
ap-1751	40	63	ku1	ku1	VERB
ap-1751	40	64	ωp2	ωp2	PRON
ap-1751	40	65	,	,	PUNCT
ap-1751	40	66	ω	ω	PROPN
ap-1751	40	67	≡	≡	PROPN
ap-1751	40	68	ω	ω	PROPN
ap-1751	40	69	ωp2	ωp2	NOUN
ap-1751	40	70	,	,	PUNCT
ap-1751	40	71	where	where	SCONJ
ap-1751	40	72	index	index	NOUN
ap-1751	40	73	1	1	NUM
ap-1751	40	74	denotes	denote	VERB
ap-1751	40	75	a	a	DET
ap-1751	40	76	jet	jet	NOUN
ap-1751	40	77	and	and	CCONJ
ap-1751	40	78	index	index	NOUN
ap-1751	40	79	2	2	NUM
ap-1751	40	80	denotes	denote	VERB
ap-1751	40	81	a	a	DET
ap-1751	40	82	background	background	NOUN
ap-1751	40	83	.	.	PUNCT
ap-1751	41	1	under	under	ADP
ap-1751	41	2	these	these	DET
ap-1751	41	3	definitions	definition	NOUN
ap-1751	41	4	,	,	PUNCT
ap-1751	41	5	we	we	PRON
ap-1751	41	6	can	can	AUX
ap-1751	41	7	convert	convert	VERB
ap-1751	41	8	eq	eq	ADP
ap-1751	41	9	.	.	PROPN
ap-1751	41	10	3	3	NUM
ap-1751	41	11	into	into	ADP
ap-1751	41	12	a	a	DET
ap-1751	41	13	non	non	ADJ
ap-1751	41	14	-	-	ADJ
ap-1751	41	15	dimensional	dimensional	ADJ
ap-1751	41	16	form	form	NOUN
ap-1751	41	17	[	[	X
ap-1751	41	18	2	2	NUM
ap-1751	41	19	]	]	PUNCT
ap-1751	41	20	which	which	PRON
ap-1751	41	21	will	will	AUX
ap-1751	41	22	be	be	AUX
ap-1751	41	23	[	[	PUNCT
ap-1751	41	24	ω	ω	NUM
ap-1751	41	25	4	4	NUM
ap-1751	41	26	1	1	NUM
ap-1751	41	27	+	+	CCONJ
ap-1751	41	28	iω2	iω2	PROPN
ap-1751	41	29	1ωc1k(g1)−ω2	1ωc1k(g1)−ω2	NUM
ap-1751	41	30	1	1	NUM
ap-1751	41	31	(	(	PUNCT
ap-1751	41	32	c2	c2	PROPN
ap-1751	41	33	s1k	s1k	PROPN
ap-1751	41	34	2	2	NUM
ap-1751	41	35	+	+	CCONJ
ap-1751	41	36	ω2	ω2	ADJ
ap-1751	41	37	p1	p1	NOUN
ap-1751	41	38	)	)	PUNCT
ap-1751	41	39	−ω2	−ω2	ADP
ap-1751	41	40	1ω	1ω	PROPN
ap-1751	41	41	2	2	NUM
ap-1751	41	42	c1	c1	NOUN
ap-1751	41	43	−	−	PROPN
ap-1751	41	44	ω1ω	ω1ω	NOUN
ap-1751	41	45	2	2	NUM
ap-1751	41	46	c1k(g3	c1k(g3	NOUN
ap-1751	41	47	)	)	PUNCT
ap-1751	41	48	+	+	CCONJ
ap-1751	41	49	(	(	PUNCT
ap-1751	41	50	ω2	ω2	ADJ
ap-1751	41	51	c1k	c1k	PROPN
ap-1751	41	52	2	2	NUM
ap-1751	41	53	c2	c2	PROPN
ap-1751	41	54	s1	s1	PROPN
ap-1751	41	55	+	+	CCONJ
ap-1751	41	56	ω2	ω2	ADJ
ap-1751	41	57	c1ω	c1ω	X
ap-1751	41	58	2	2	NUM
ap-1751	41	59	p1	p1	PROPN
ap-1751	41	60	)	)	PUNCT
ap-1751	41	61	(	(	PUNCT
ap-1751	41	62	g2)2	g2)2	NOUN
ap-1751	41	63	]	]	PUNCT
ap-1751	41	64	·	·	PUNCT
ap-1751	42	1	[	[	PUNCT
ap-1751	42	2	ω	ω	NUM
ap-1751	42	3	4	4	NUM
ap-1751	42	4	2	2	NUM
ap-1751	42	5	+	+	CCONJ
ap-1751	42	6	iω2	iω2	X
ap-1751	42	7	2ωc2ku2(g1)−ω2	2ωc2ku2(g1)−ω2	NUM
ap-1751	42	8	2	2	NUM
ap-1751	42	9	(	(	PUNCT
ap-1751	42	10	c2	c2	PROPN
ap-1751	42	11	s2k	s2k	PROPN
ap-1751	42	12	2	2	NUM
ap-1751	42	13	+	+	CCONJ
ap-1751	42	14	1	1	NUM
ap-1751	42	15	)	)	PUNCT
ap-1751	42	16	−ω2	−ω2	ADP
ap-1751	42	17	2ω	2ω	PROPN
ap-1751	42	18	2	2	NUM
ap-1751	42	19	c2	c2	PROPN
ap-1751	42	20	−	−	PROPN
ap-1751	42	21	ω2ω	ω2ω	NOUN
ap-1751	42	22	2	2	NUM
ap-1751	42	23	c2ku2(g3	c2ku2(g3	NOUN
ap-1751	42	24	)	)	PUNCT
ap-1751	42	25	+	+	CCONJ
ap-1751	42	26	(	(	PUNCT
ap-1751	42	27	ω2	ω2	ADV
ap-1751	42	28	c2k	c2k	NUM
ap-1751	42	29	2	2	NUM
ap-1751	42	30	c2	c2	PROPN
ap-1751	42	31	s2	s2	PROPN
ap-1751	42	32	+	+	CCONJ
ap-1751	42	33	ω2	ω2	ADJ
ap-1751	42	34	c2	c2	PROPN
ap-1751	42	35	)	)	PUNCT
ap-1751	42	36	(	(	PUNCT
ap-1751	42	37	g2)2	g2)2	NOUN
ap-1751	42	38	]	]	PUNCT
ap-1751	42	39	−	−	PROPN
ap-1751	43	1	[	[	PUNCT
ap-1751	43	2	ω2	ω2	ADJ
ap-1751	43	3	p1	p1	PROPN
ap-1751	43	4	(	(	PUNCT
ap-1751	43	5	ω	ω	PROPN
ap-1751	43	6	2	2	NUM
ap-1751	43	7	1	1	NUM
ap-1751	43	8	−	−	NOUN
ap-1751	43	9	ω2	ω2	ADJ
ap-1751	43	10	c1(g2)2	c1(g2)2	NOUN
ap-1751	43	11	)	)	PUNCT
ap-1751	43	12	]	]	PUNCT
ap-1751	43	13	·	·	PUNCT
ap-1751	44	1	[	[	PUNCT
ap-1751	44	2	ω	ω	NUM
ap-1751	44	3	2	2	NUM
ap-1751	44	4	2	2	NUM
ap-1751	44	5	−	−	NOUN
ap-1751	44	6	ω2	ω2	ADJ
ap-1751	44	7	c2(g2)2	c2(g2)2	NOUN
ap-1751	44	8	]	]	PUNCT
ap-1751	44	9	=	=	SYM
ap-1751	44	10	0	0	NUM
ap-1751	44	11	,	,	PUNCT
ap-1751	44	12	(	(	PUNCT
ap-1751	44	13	5	5	NUM
ap-1751	44	14	)	)	PUNCT
ap-1751	44	15	where	where	SCONJ
ap-1751	44	16	we	we	PRON
ap-1751	44	17	denoted	denote	VERB
ap-1751	44	18	g1	g1	PROPN
ap-1751	44	19	=	=	SYM
ap-1751	44	20	(	(	PUNCT
ap-1751	44	21	cos	cos	PROPN
ap-1751	44	22	θb	θb	PROPN
ap-1751	44	23	sinϕ	sinϕ	VERB
ap-1751	44	24	sin	sin	NOUN
ap-1751	44	25	θk	θk	PROPN
ap-1751	44	26	)	)	PUNCT
ap-1751	44	27	,	,	PUNCT
ap-1751	44	28	g2	g2	PROPN
ap-1751	44	29	=	=	PUNCT
ap-1751	44	30	(	(	PUNCT
ap-1751	44	31	cosϕ	cosϕ	NOUN
ap-1751	44	32	sin	sin	NOUN
ap-1751	44	33	θk	θk	NOUN
ap-1751	44	34	sin	sin	NOUN
ap-1751	44	35	θb	θb	ADP
ap-1751	44	36	+	+	CCONJ
ap-1751	44	37	cos	cos	PROPN
ap-1751	44	38	θk	θk	PROPN
ap-1751	44	39	cos	cos	PROPN
ap-1751	44	40	θb	θb	PROPN
ap-1751	44	41	)	)	PUNCT
ap-1751	44	42	,	,	PUNCT
ap-1751	44	43	g3	g3	PROPN
ap-1751	44	44	=	=	SYM
ap-1751	44	45	(	(	PUNCT
ap-1751	44	46	cos2	cos2	PROPN
ap-1751	44	47	θb	θb	ADP
ap-1751	44	48	cosϕ	cosϕ	VERB
ap-1751	44	49	sin	sin	NOUN
ap-1751	44	50	θk	θk	NOUN
ap-1751	44	51	−	−	PROPN
ap-1751	44	52	cos	cos	PROPN
ap-1751	44	53	θb	θb	PROPN
ap-1751	44	54	cos	cos	PROPN
ap-1751	44	55	θk	θk	PROPN
ap-1751	44	56	sin	sin	PROPN
ap-1751	44	57	θb	θb	PROPN
ap-1751	44	58	)	)	PUNCT
ap-1751	44	59	,	,	PUNCT
ap-1751	44	60	ω1	ω1	PROPN
ap-1751	44	61	=	=	SYM
ap-1751	44	62	ω	ω	PROPN
ap-1751	44	63	−	−	PROPN
ap-1751	44	64	k	k	PROPN
ap-1751	44	65	cosϕ	cosϕ	NOUN
ap-1751	44	66	sin	sin	NOUN
ap-1751	44	67	θk	θk	NOUN
ap-1751	44	68	,	,	PUNCT
ap-1751	44	69	ω2	ω2	NOUN
ap-1751	44	70	=	=	SYM
ap-1751	44	71	ω	ω	PROPN
ap-1751	44	72	−	−	PROPN
ap-1751	44	73	ku2	ku2	NOUN
ap-1751	44	74	cosϕ	cosϕ	NOUN
ap-1751	44	75	sin	sin	NOUN
ap-1751	44	76	θk	θk	NOUN
ap-1751	44	77	.	.	PUNCT
ap-1751	45	1	the	the	DET
ap-1751	45	2	main	main	ADJ
ap-1751	45	3	goal	goal	NOUN
ap-1751	45	4	is	be	AUX
ap-1751	45	5	to	to	PART
ap-1751	45	6	find	find	VERB
ap-1751	45	7	the	the	DET
ap-1751	45	8	solution	solution	NOUN
ap-1751	45	9	for	for	ADP
ap-1751	45	10	the	the	DET
ap-1751	45	11	ω	ω	PROPN
ap-1751	45	12	dependence	dependence	NOUN
ap-1751	45	13	on	on	ADP
ap-1751	45	14	k.	k.	PROPN
ap-1751	45	15	equation	equation	NOUN
ap-1751	45	16	5	5	NUM
ap-1751	45	17	is	be	AUX
ap-1751	45	18	a	a	DET
ap-1751	45	19	polynomial	polynomial	ADJ
ap-1751	45	20	equation	equation	NOUN
ap-1751	45	21	of	of	ADP
ap-1751	45	22	8th	8th	ADJ
ap-1751	45	23	order	order	NOUN
ap-1751	45	24	.	.	PUNCT
ap-1751	46	1	2	2	X
ap-1751	46	2	.	.	X
ap-1751	46	3	numerical	numerical	ADJ
ap-1751	46	4	solution	solution	NOUN
ap-1751	46	5	a	a	DET
ap-1751	46	6	classical	classical	ADJ
ap-1751	46	7	newton	newton	PROPN
ap-1751	46	8	’s	’s	PART
ap-1751	46	9	algorithm	algorithm	NOUN
ap-1751	46	10	for	for	ADP
ap-1751	46	11	finding	find	VERB
ap-1751	46	12	the	the	DET
ap-1751	46	13	roots	root	NOUN
ap-1751	46	14	of	of	ADP
ap-1751	46	15	polynomial	polynomial	ADJ
ap-1751	46	16	equations	equation	NOUN
ap-1751	46	17	has	have	VERB
ap-1751	46	18	one	one	NUM
ap-1751	46	19	big	big	ADJ
ap-1751	46	20	disadvantage	disadvantage	NOUN
ap-1751	46	21	.	.	PUNCT
ap-1751	47	1	it	it	PRON
ap-1751	47	2	does	do	AUX
ap-1751	47	3	not	not	PART
ap-1751	47	4	specify	specify	VERB
ap-1751	47	5	the	the	DET
ap-1751	47	6	initial	initial	ADJ
ap-1751	47	7	points	point	NOUN
ap-1751	47	8	(	(	PUNCT
ap-1751	47	9	points	point	NOUN
ap-1751	47	10	where	where	SCONJ
ap-1751	47	11	an	an	DET
ap-1751	47	12	algorithm	algorithm	NOUN
ap-1751	47	13	starts	start	VERB
ap-1751	47	14	the	the	DET
ap-1751	47	15	iterations	iteration	NOUN
ap-1751	47	16	)	)	PUNCT
ap-1751	47	17	so	so	SCONJ
ap-1751	47	18	it	it	PRON
ap-1751	47	19	does	do	AUX
ap-1751	47	20	not	not	PART
ap-1751	47	21	guarantee	guarantee	VERB
ap-1751	47	22	the	the	DET
ap-1751	47	23	finding	finding	NOUN
ap-1751	47	24	of	of	ADP
ap-1751	47	25	all	all	DET
ap-1751	47	26	the	the	DET
ap-1751	47	27	roots	root	NOUN
ap-1751	47	28	.	.	PUNCT
ap-1751	48	1	in	in	ADP
ap-1751	48	2	2001	2001	NUM
ap-1751	48	3	hubbard	hubbard	NOUN
ap-1751	48	4	,	,	PUNCT
ap-1751	48	5	figure	figure	VERB
ap-1751	48	6	1	1	NUM
ap-1751	48	7	.	.	PUNCT
ap-1751	48	8	system	system	NOUN
ap-1751	48	9	of	of	ADP
ap-1751	48	10	coordinates	coordinate	NOUN
ap-1751	48	11	used	use	VERB
ap-1751	48	12	in	in	ADP
ap-1751	48	13	the	the	DET
ap-1751	48	14	simulations	simulation	NOUN
ap-1751	48	15	.	.	PUNCT
ap-1751	49	1	schleicher	schleicher	ADJ
ap-1751	49	2	and	and	CCONJ
ap-1751	49	3	sutherland	sutherland	PROPN
ap-1751	49	4	published	publish	VERB
ap-1751	49	5	the	the	DET
ap-1751	49	6	article	article	NOUN
ap-1751	49	7	“	"	PUNCT
ap-1751	49	8	how	how	SCONJ
ap-1751	49	9	to	to	PART
ap-1751	49	10	find	find	VERB
ap-1751	49	11	all	all	DET
ap-1751	49	12	roots	root	NOUN
ap-1751	49	13	of	of	ADP
ap-1751	49	14	complex	complex	ADJ
ap-1751	49	15	polynomials	polynomial	NOUN
ap-1751	49	16	with	with	ADP
ap-1751	49	17	newton	newton	PROPN
ap-1751	49	18	’s	’s	PART
ap-1751	49	19	method	method	NOUN
ap-1751	49	20	”	"	PUNCT
ap-1751	49	21	,	,	PUNCT
ap-1751	49	22	where	where	SCONJ
ap-1751	49	23	they	they	PRON
ap-1751	49	24	demonstrated	demonstrate	VERB
ap-1751	49	25	how	how	SCONJ
ap-1751	49	26	to	to	PART
ap-1751	49	27	determine	determine	VERB
ap-1751	49	28	the	the	DET
ap-1751	49	29	initial	initial	ADJ
ap-1751	49	30	points	point	NOUN
ap-1751	49	31	to	to	PART
ap-1751	49	32	find	find	VERB
ap-1751	49	33	all	all	DET
ap-1751	49	34	the	the	DET
ap-1751	49	35	roots	root	NOUN
ap-1751	49	36	of	of	ADP
ap-1751	49	37	polynomial	polynomial	ADJ
ap-1751	49	38	equation	equation	NOUN
ap-1751	49	39	[	[	X
ap-1751	49	40	3	3	NUM
ap-1751	49	41	]	]	PUNCT
ap-1751	49	42	.	.	PUNCT
ap-1751	50	1	2.1	2.1	NUM
ap-1751	50	2	.	.	PUNCT
ap-1751	50	3	principle	principle	NOUN
ap-1751	50	4	of	of	ADP
ap-1751	50	5	the	the	DET
ap-1751	50	6	algorithm	algorithm	NOUN
ap-1751	50	7	fundamentals	fundamental	VERB
ap-1751	50	8	basic	basic	ADJ
ap-1751	50	9	principles	principle	NOUN
ap-1751	50	10	are	be	AUX
ap-1751	50	11	described	describe	VERB
ap-1751	50	12	in	in	ADP
ap-1751	50	13	[	[	X
ap-1751	50	14	4	4	NUM
ap-1751	50	15	]	]	PUNCT
ap-1751	50	16	.	.	PUNCT
ap-1751	51	1	for	for	ADP
ap-1751	51	2	each	each	DET
ap-1751	51	3	k	k	NOUN
ap-1751	51	4	we	we	PRON
ap-1751	51	5	have	have	VERB
ap-1751	51	6	a	a	DET
ap-1751	51	7	polynomial	polynomial	ADJ
ap-1751	51	8	equation	equation	NOUN
ap-1751	51	9	of	of	ADP
ap-1751	51	10	a	a	DET
ap-1751	51	11	type	type	NOUN
ap-1751	51	12	c0	c0	NOUN
ap-1751	51	13	+	+	CCONJ
ap-1751	51	14	c1ω	c1ω	X
ap-1751	52	1	+	+	CCONJ
ap-1751	52	2	c2ω	c2ω	NOUN
ap-1751	52	3	2	2	NUM
ap-1751	52	4	+	+	CCONJ
ap-1751	52	5	c3ω	c3ω	NOUN
ap-1751	52	6	3	3	NUM
ap-1751	52	7	+	+	CCONJ
ap-1751	52	8	c4ω	c4ω	PROPN
ap-1751	52	9	4	4	NUM
ap-1751	52	10	+	+	CCONJ
ap-1751	52	11	c5ω	c5ω	VERB
ap-1751	52	12	5	5	NUM
ap-1751	52	13	+	+	CCONJ
ap-1751	52	14	c6ω	c6ω	NOUN
ap-1751	52	15	6	6	NUM
ap-1751	52	16	+	+	NOUN
ap-1751	52	17	c7ω	c7ω	NOUN
ap-1751	52	18	7	7	NUM
ap-1751	52	19	+	+	CCONJ
ap-1751	52	20	c8ω	c8ω	NOUN
ap-1751	52	21	8	8	NUM
ap-1751	52	22	=	=	SYM
ap-1751	52	23	0	0	NUM
ap-1751	52	24	.	.	PUNCT
ap-1751	52	25	(	(	PUNCT
ap-1751	52	26	6	6	NUM
ap-1751	52	27	)	)	PUNCT
ap-1751	52	28	at	at	ADP
ap-1751	52	29	first	first	ADV
ap-1751	52	30	we	we	PRON
ap-1751	52	31	must	must	AUX
ap-1751	52	32	rescale	rescale	VERB
ap-1751	52	33	the	the	DET
ap-1751	52	34	polynom	polynom	NOUN
ap-1751	52	35	,	,	PUNCT
ap-1751	52	36	so	so	SCONJ
ap-1751	52	37	we	we	PRON
ap-1751	52	38	have	have	VERB
ap-1751	52	39	to	to	PART
ap-1751	52	40	find	find	VERB
ap-1751	52	41	amax	amax	PROPN
ap-1751	52	42	=	=	SYM
ap-1751	52	43	1	1	NUM
ap-1751	52	44	+	+	NUM
ap-1751	52	45	max	max	PROPN
ap-1751	52	46	k	k	PROPN
ap-1751	52	47	{	{	PUNCT
ap-1751	52	48	∣∣∣∣	∣∣∣∣	PROPN
ap-1751	52	49	ckcn	ckcn	PROPN
ap-1751	52	50	∣∣∣∣	∣∣∣∣	PROPN
ap-1751	52	51	}	}	PUNCT
ap-1751	52	52	.	.	PUNCT
ap-1751	53	1	(	(	PUNCT
ap-1751	53	2	7	7	NUM
ap-1751	53	3	)	)	PUNCT
ap-1751	53	4	from	from	ADP
ap-1751	53	5	now	now	ADV
ap-1751	53	6	we	we	PRON
ap-1751	53	7	will	will	AUX
ap-1751	53	8	work	work	VERB
ap-1751	53	9	with	with	ADP
ap-1751	53	10	the	the	DET
ap-1751	53	11	polynomial	polynomial	ADJ
ap-1751	53	12	q(z	q(z	PROPN
ap-1751	53	13	)	)	PUNCT
ap-1751	53	14	≡	≡	PROPN
ap-1751	53	15	n∑	n∑	PROPN
ap-1751	53	16	k=0	k=0	PROPN
ap-1751	53	17	ckz	ckz	VERB
ap-1751	54	1	k	k	NOUN
ap-1751	54	2	,	,	PUNCT
ap-1751	54	3	(	(	PUNCT
ap-1751	54	4	8)	8)	NUM
ap-1751	54	5	where	where	SCONJ
ap-1751	54	6	z	z	PROPN
ap-1751	54	7	≡	≡	PROPN
ap-1751	54	8	ω	ω	PROPN
ap-1751	54	9	amax	amax	PROPN
ap-1751	54	10	,	,	PUNCT
ap-1751	54	11	ck	ck	PROPN
ap-1751	54	12	≡	≡	PROPN
ap-1751	54	13	ckakmax	ckakmax	PROPN
ap-1751	54	14	.	.	PUNCT
ap-1751	55	1	(	(	PUNCT
ap-1751	55	2	9	9	X
ap-1751	55	3	)	)	PUNCT
ap-1751	55	4	the	the	DET
ap-1751	55	5	second	second	ADJ
ap-1751	55	6	step	step	NOUN
ap-1751	55	7	is	be	AUX
ap-1751	55	8	to	to	PART
ap-1751	55	9	determine	determine	VERB
ap-1751	55	10	the	the	DET
ap-1751	55	11	initial	initial	ADJ
ap-1751	55	12	points	point	NOUN
ap-1751	55	13	where	where	SCONJ
ap-1751	55	14	the	the	DET
ap-1751	55	15	algorithm	algorithm	NOUN
ap-1751	55	16	will	will	AUX
ap-1751	55	17	start	start	VERB
ap-1751	55	18	the	the	DET
ap-1751	55	19	iterations	iteration	NOUN
ap-1751	55	20	.	.	PUNCT
ap-1751	56	1	the	the	DET
ap-1751	56	2	net	net	NOUN
ap-1751	56	3	of	of	ADP
ap-1751	56	4	initial	initial	ADJ
ap-1751	56	5	points	point	NOUN
ap-1751	56	6	is	be	AUX
ap-1751	56	7	determined	determine	VERB
ap-1751	56	8	by	by	ADP
ap-1751	56	9	radii	radius	NOUN
ap-1751	56	10	and	and	CCONJ
ap-1751	56	11	angles	angle	NOUN
ap-1751	56	12	in	in	ADP
ap-1751	56	13	the	the	DET
ap-1751	56	14	complex	complex	ADJ
ap-1751	56	15	plane	plane	NOUN
ap-1751	56	16	:	:	PUNCT
ap-1751	56	17	rl	rl	PROPN
ap-1751	56	18	≡	≡	PROPN
ap-1751	56	19	(	(	PUNCT
ap-1751	56	20	1	1	NUM
ap-1751	56	21	+	+	CCONJ
ap-1751	56	22	√	√	NUM
ap-1751	56	23	2	2	NUM
ap-1751	56	24	)	)	PUNCT
ap-1751	56	25	(	(	PUNCT
ap-1751	56	26	n	n	CCONJ
ap-1751	56	27	−	−	PROPN
ap-1751	56	28	1	1	NUM
ap-1751	56	29	n	n	NOUN
ap-1751	56	30	)	)	PUNCT
ap-1751	56	31	(	(	PUNCT
ap-1751	56	32	2l−1)/4l	2l−1)/4l	NUM
ap-1751	56	33	,	,	PUNCT
ap-1751	56	34	(	(	PUNCT
ap-1751	56	35	10	10	NUM
ap-1751	56	36	)	)	PUNCT
ap-1751	56	37	l	l	NOUN
ap-1751	56	38	=	=	SYM
ap-1751	56	39	1	1	NUM
ap-1751	56	40	,	,	PUNCT
ap-1751	56	41	.	.	PUNCT
ap-1751	56	42	.	.	PUNCT
ap-1751	57	1	.	.	PUNCT
ap-1751	58	1	,	,	PUNCT
ap-1751	58	2	l	l	NOUN
ap-1751	58	3	,	,	PUNCT
ap-1751	58	4	(	(	PUNCT
ap-1751	58	5	11	11	NUM
ap-1751	58	6	)	)	PUNCT
ap-1751	58	7	l	l	PROPN
ap-1751	58	8	≡	≡	PROPN
ap-1751	58	9	d0.26632	d0.26632	PROPN
ap-1751	58	10	lnne	lnne	NOUN
ap-1751	58	11	,	,	PUNCT
ap-1751	58	12	(	(	PUNCT
ap-1751	58	13	12	12	NUM
ap-1751	58	14	)	)	PUNCT
ap-1751	58	15	175	175	NUM
ap-1751	58	16	miroslav	miroslav	NOUN
ap-1751	58	17	horký	horký	PROPN
ap-1751	58	18	acta	acta	PROPN
ap-1751	58	19	polytechnica	polytechnica	PROPN
ap-1751	58	20	ξm	ξm	PROPN
ap-1751	59	1	≡	≡	PROPN
ap-1751	59	2	2πm	2πm	PROPN
ap-1751	59	3	m	m	VERB
ap-1751	59	4	,	,	PUNCT
ap-1751	59	5	(	(	PUNCT
ap-1751	59	6	13	13	NUM
ap-1751	59	7	)	)	PUNCT
ap-1751	59	8	m	m	PROPN
ap-1751	59	9	=	=	NOUN
ap-1751	59	10	0	0	NUM
ap-1751	59	11	,	,	PUNCT
ap-1751	59	12	.	.	PUNCT
ap-1751	59	13	.	.	PUNCT
ap-1751	59	14	.	.	PUNCT
ap-1751	60	1	,	,	PUNCT
ap-1751	60	2	m	m	VERB
ap-1751	60	3	−	−	NOUN
ap-1751	60	4	1	1	NUM
ap-1751	60	5	,	,	PUNCT
ap-1751	60	6	(	(	PUNCT
ap-1751	60	7	14	14	NUM
ap-1751	60	8	)	)	PUNCT
ap-1751	60	9	m	m	VERB
ap-1751	60	10	≡	≡	PROPN
ap-1751	60	11	d8.32547n	d8.32547n	PROPN
ap-1751	60	12	lnne	lnne	PROPN
ap-1751	60	13	.	.	PUNCT
ap-1751	61	1	(	(	PUNCT
ap-1751	61	2	15	15	NUM
ap-1751	61	3	)	)	PUNCT
ap-1751	61	4	then	then	ADV
ap-1751	61	5	the	the	DET
ap-1751	61	6	net	net	NOUN
ap-1751	61	7	of	of	ADP
ap-1751	61	8	initial	initial	ADJ
ap-1751	61	9	points	point	NOUN
ap-1751	61	10	is	be	AUX
ap-1751	61	11	zlm	zlm	NOUN
ap-1751	61	12	=	=	SYM
ap-1751	61	13	rl	rl	NOUN
ap-1751	61	14	exp(iξm	exp(iξm	NOUN
ap-1751	61	15	)	)	PUNCT
ap-1751	61	16	,	,	PUNCT
ap-1751	61	17	(	(	PUNCT
ap-1751	61	18	16	16	NUM
ap-1751	61	19	)	)	PUNCT
ap-1751	61	20	l	l	NOUN
ap-1751	62	1	=	=	SYM
ap-1751	62	2	1	1	NUM
ap-1751	62	3	,	,	PUNCT
ap-1751	62	4	.	.	PUNCT
ap-1751	62	5	.	.	PUNCT
ap-1751	62	6	.	.	PUNCT
ap-1751	63	1	,	,	PUNCT
ap-1751	63	2	l	l	NOUN
ap-1751	63	3	,	,	PUNCT
ap-1751	63	4	(	(	PUNCT
ap-1751	63	5	17	17	NUM
ap-1751	63	6	)	)	PUNCT
ap-1751	63	7	m	m	PROPN
ap-1751	63	8	=	=	NOUN
ap-1751	63	9	0	0	NUM
ap-1751	63	10	,	,	PUNCT
ap-1751	63	11	.	.	PUNCT
ap-1751	63	12	.	.	PUNCT
ap-1751	63	13	.	.	PUNCT
ap-1751	64	1	,	,	PUNCT
ap-1751	64	2	m	m	VERB
ap-1751	64	3	−	−	NOUN
ap-1751	64	4	1	1	NUM
ap-1751	64	5	.	.	PUNCT
ap-1751	65	1	(	(	PUNCT
ap-1751	65	2	18	18	NUM
ap-1751	65	3	)	)	PUNCT
ap-1751	65	4	the	the	DET
ap-1751	65	5	initial	initial	ADJ
ap-1751	65	6	net	net	NOUN
ap-1751	65	7	of	of	ADP
ap-1751	65	8	points	point	NOUN
ap-1751	65	9	has	have	VERB
ap-1751	65	10	definitely	definitely	ADV
ap-1751	65	11	lm	lm	ADJ
ap-1751	65	12	numbers	number	NOUN
ap-1751	65	13	.	.	PUNCT
ap-1751	66	1	from	from	ADP
ap-1751	66	2	these	these	DET
ap-1751	66	3	numbers	number	NOUN
ap-1751	66	4	the	the	DET
ap-1751	66	5	algorithm	algorithm	NOUN
ap-1751	66	6	starts	start	VERB
ap-1751	66	7	the	the	DET
ap-1751	66	8	iterations	iteration	NOUN
ap-1751	66	9	.	.	PUNCT
ap-1751	67	1	a	a	DET
ap-1751	67	2	number	number	NOUN
ap-1751	67	3	of	of	ADP
ap-1751	67	4	iterations	iteration	NOUN
ap-1751	67	5	o	o	NOUN
ap-1751	67	6	is	be	AUX
ap-1751	67	7	defined	define	VERB
ap-1751	67	8	by	by	ADP
ap-1751	67	9	accuracy	accuracy	NOUN
ap-1751	67	10	ε	ε	PROPN
ap-1751	67	11	by	by	ADP
ap-1751	67	12	the	the	DET
ap-1751	67	13	definition	definition	NOUN
ap-1751	67	14	o	o	X
ap-1751	67	15	≡	≡	PROPN
ap-1751	67	16	⌈	⌈	PROPN
ap-1751	68	1	ln(1	ln(1	NOUN
ap-1751	68	2	+	+	NUM
ap-1751	68	3	√	√	PROPN
ap-1751	68	4	2)−	2)−	NUM
ap-1751	68	5	ln	ln	NOUN
ap-1751	68	6	ε	ε	PROPN
ap-1751	68	7	lnn	lnn	NOUN
ap-1751	68	8	−	−	PROPN
ap-1751	68	9	ln(n	ln(n	PUNCT
ap-1751	68	10	−	−	PROPN
ap-1751	68	11	1	1	X
ap-1751	68	12	)	)	PUNCT
ap-1751	68	13	⌉	⌉	X
ap-1751	68	14	.	.	PUNCT
ap-1751	69	1	(	(	PUNCT
ap-1751	69	2	19	19	NUM
ap-1751	69	3	)	)	PUNCT
ap-1751	69	4	the	the	DET
ap-1751	69	5	bracket	bracket	NOUN
ap-1751	69	6	dxe	dxe	NOUN
ap-1751	69	7	means	mean	VERB
ap-1751	69	8	the	the	DET
ap-1751	69	9	ceiling	ceiling	NOUN
ap-1751	69	10	function	function	NOUN
ap-1751	69	11	(	(	PUNCT
ap-1751	69	12	first	first	ADJ
ap-1751	69	13	integer	integer	NOUN
ap-1751	69	14	number	number	NOUN
ap-1751	69	15	which	which	PRON
ap-1751	69	16	is	be	AUX
ap-1751	69	17	higher	high	ADJ
ap-1751	69	18	or	or	CCONJ
ap-1751	69	19	equal	equal	ADJ
ap-1751	69	20	to	to	ADP
ap-1751	69	21	x	x	NOUN
ap-1751	69	22	)	)	PUNCT
ap-1751	69	23	.	.	PUNCT
ap-1751	70	1	solutions	solution	NOUN
ap-1751	70	2	which	which	PRON
ap-1751	70	3	do	do	AUX
ap-1751	70	4	not	not	PART
ap-1751	70	5	accomplish	accomplish	VERB
ap-1751	70	6	|q(zo	|q(zo	PROPN
ap-1751	70	7	)	)	PUNCT
ap-1751	70	8	<	<	X
ap-1751	70	9	ε|	ε|	PROPN
ap-1751	70	10	are	be	AUX
ap-1751	70	11	not	not	PART
ap-1751	70	12	the	the	DET
ap-1751	70	13	roots	root	NOUN
ap-1751	70	14	of	of	ADP
ap-1751	70	15	the	the	DET
ap-1751	70	16	polynomial	polynomial	NOUN
ap-1751	70	17	.	.	PUNCT
ap-1751	71	1	after	after	ADP
ap-1751	71	2	finding	find	VERB
ap-1751	71	3	all	all	DET
ap-1751	71	4	the	the	DET
ap-1751	71	5	roots	root	NOUN
ap-1751	71	6	in	in	ADP
ap-1751	71	7	the	the	DET
ap-1751	71	8	rescaled	rescaled	ADJ
ap-1751	71	9	polynomial	polynomial	NOUN
ap-1751	71	10	we	we	PRON
ap-1751	71	11	have	have	VERB
ap-1751	71	12	to	to	PART
ap-1751	71	13	do	do	VERB
ap-1751	71	14	the	the	DET
ap-1751	71	15	backscaling	backscaling	NOUN
ap-1751	71	16	ωo	ωo	ADP
ap-1751	71	17	=	=	PUNCT
ap-1751	71	18	amaxzo	amaxzo	NOUN
ap-1751	71	19	.	.	PUNCT
ap-1751	72	1	(	(	PUNCT
ap-1751	72	2	20	20	NUM
ap-1751	72	3	)	)	PUNCT
ap-1751	72	4	2.2	2.2	NUM
ap-1751	72	5	.	.	PUNCT
ap-1751	72	6	example	example	NOUN
ap-1751	72	7	of	of	ADP
ap-1751	72	8	the	the	DET
ap-1751	72	9	solution	solution	NOUN
ap-1751	72	10	the	the	DET
ap-1751	72	11	first	first	ADJ
ap-1751	72	12	numerical	numerical	ADJ
ap-1751	72	13	solution	solution	NOUN
ap-1751	72	14	was	be	AUX
ap-1751	72	15	made	make	VERB
ap-1751	72	16	in	in	ADP
ap-1751	72	17	[	[	X
ap-1751	72	18	5	5	NUM
ap-1751	72	19	]	]	PUNCT
ap-1751	72	20	for	for	ADP
ap-1751	72	21	the	the	DET
ap-1751	72	22	situation	situation	NOUN
ap-1751	72	23	of	of	ADP
ap-1751	72	24	two	two	NUM
ap-1751	72	25	identical	identical	ADJ
ap-1751	72	26	opposite	opposite	ADJ
ap-1751	72	27	plasma	plasma	NOUN
ap-1751	72	28	beams	beam	NOUN
ap-1751	72	29	in	in	ADP
ap-1751	72	30	a	a	DET
ap-1751	72	31	magnetic	magnetic	ADJ
ap-1751	72	32	field	field	NOUN
ap-1751	72	33	.	.	PUNCT
ap-1751	73	1	this	this	DET
ap-1751	73	2	example	example	NOUN
ap-1751	73	3	of	of	ADP
ap-1751	73	4	dispersion	dispersion	NOUN
ap-1751	73	5	branches	branch	NOUN
ap-1751	73	6	is	be	AUX
ap-1751	73	7	for	for	ADP
ap-1751	73	8	more	more	ADV
ap-1751	73	9	complicated	complicated	ADJ
ap-1751	73	10	situation	situation	NOUN
ap-1751	73	11	–	–	PUNCT
ap-1751	73	12	one	one	NUM
ap-1751	73	13	plasma	plasma	NOUN
ap-1751	73	14	beam	beam	NOUN
ap-1751	73	15	penetrates	penetrate	VERB
ap-1751	73	16	into	into	ADP
ap-1751	73	17	the	the	DET
ap-1751	73	18	plasma	plasma	NOUN
ap-1751	73	19	background	background	NOUN
ap-1751	73	20	and	and	CCONJ
ap-1751	73	21	magnetic	magnetic	ADJ
ap-1751	73	22	field	field	NOUN
ap-1751	73	23	has	have	VERB
ap-1751	73	24	both	both	CCONJ
ap-1751	73	25	perpendicular	perpendicular	ADJ
ap-1751	73	26	and	and	CCONJ
ap-1751	73	27	parallel	parallel	ADJ
ap-1751	73	28	components	component	NOUN
ap-1751	73	29	.	.	PUNCT
ap-1751	74	1	the	the	DET
ap-1751	74	2	parameters	parameter	NOUN
ap-1751	74	3	of	of	ADP
ap-1751	74	4	this	this	DET
ap-1751	74	5	simulation	simulation	NOUN
ap-1751	74	6	are	be	AUX
ap-1751	74	7	in	in	ADP
ap-1751	74	8	tab	tab	NOUN
ap-1751	74	9	.	.	PUNCT
ap-1751	75	1	1	1	NUM
ap-1751	75	2	and	and	CCONJ
ap-1751	75	3	graphical	graphical	ADJ
ap-1751	75	4	result	result	NOUN
ap-1751	75	5	is	be	AUX
ap-1751	75	6	in	in	ADP
ap-1751	75	7	fig	fig	NOUN
ap-1751	75	8	.	.	PUNCT
ap-1751	76	1	2	2	X
ap-1751	76	2	.	.	X
ap-1751	76	3	the	the	DET
ap-1751	76	4	result	result	NOUN
ap-1751	76	5	is	be	AUX
ap-1751	76	6	depicted	depict	VERB
ap-1751	76	7	in	in	ADP
ap-1751	76	8	well	well	ADV
ap-1751	76	9	arranged	arrange	VERB
ap-1751	76	10	plot	plot	NOUN
ap-1751	76	11	where	where	SCONJ
ap-1751	76	12	blue	blue	ADJ
ap-1751	76	13	dots	dot	NOUN
ap-1751	76	14	represent	represent	VERB
ap-1751	76	15	real	real	ADJ
ap-1751	76	16	branches	branch	NOUN
ap-1751	76	17	and	and	CCONJ
ap-1751	76	18	red	red	ADJ
ap-1751	76	19	dots	dot	NOUN
ap-1751	76	20	imaginary	imaginary	ADJ
ap-1751	76	21	branches	branch	NOUN
ap-1751	76	22	of	of	ADP
ap-1751	76	23	the	the	DET
ap-1751	76	24	solution	solution	NOUN
ap-1751	76	25	.	.	PUNCT
ap-1751	77	1	also	also	ADV
ap-1751	77	2	maximal	maximal	ADJ
ap-1751	77	3	value	value	NOUN
ap-1751	77	4	of	of	ADP
ap-1751	77	5	the	the	DET
ap-1751	77	6	imaginary	imaginary	ADJ
ap-1751	77	7	branch	branch	NOUN
ap-1751	77	8	which	which	PRON
ap-1751	77	9	is	be	AUX
ap-1751	77	10	so	so	ADV
ap-1751	77	11	called	call	VERB
ap-1751	77	12	plasma	plasma	NOUN
ap-1751	77	13	instability	instability	NOUN
ap-1751	77	14	growth	growth	NOUN
ap-1751	77	15	rate	rate	NOUN
ap-1751	77	16	(	(	PUNCT
ap-1751	77	17	pigr	pigr	NOUN
ap-1751	77	18	)	)	PUNCT
ap-1751	77	19	is	be	AUX
ap-1751	77	20	depicted	depict	VERB
ap-1751	77	21	with	with	ADP
ap-1751	77	22	sign	sign	NOUN
ap-1751	77	23	“	"	PUNCT
ap-1751	77	24	max	max	PROPN
ap-1751	77	25	”	"	PUNCT
ap-1751	77	26	.	.	PUNCT
ap-1751	78	1	parameter	parameter	PROPN
ap-1751	78	2	value	value	NOUN
ap-1751	78	3	ωc1	ωc1	NOUN
ap-1751	78	4	=	=	PRON
ap-1751	78	5	ωc2	ωc2	PROPN
ap-1751	78	6	0.5	0.5	NUM
ap-1751	78	7	cs1	cs1	NOUN
ap-1751	78	8	=	=	SYM
ap-1751	78	9	cs2	cs2	PROPN
ap-1751	78	10	0.1	0.1	NUM
ap-1751	79	1	u2	u2	PROPN
ap-1751	79	2	0	0	PUNCT
ap-1751	79	3	ωp1	ωp1	NOUN
ap-1751	79	4	1	1	NUM
ap-1751	79	5	θk	θk	NOUN
ap-1751	79	6	π/2	π/2	PROPN
ap-1751	79	7	ϕ	ϕ	PROPN
ap-1751	79	8	0	0	PROPN
ap-1751	79	9	θb	θb	PROPN
ap-1751	79	10	π/4	π/4	PUNCT
ap-1751	79	11	table	table	NOUN
ap-1751	79	12	1	1	NUM
ap-1751	79	13	.	.	PUNCT
ap-1751	80	1	parameters	parameter	NOUN
ap-1751	80	2	used	use	VERB
ap-1751	80	3	in	in	ADP
ap-1751	80	4	example	example	NOUN
ap-1751	80	5	of	of	ADP
ap-1751	80	6	the	the	DET
ap-1751	80	7	solution	solution	NOUN
ap-1751	80	8	.	.	PUNCT
ap-1751	81	1	figure	figure	NOUN
ap-1751	81	2	2	2	NUM
ap-1751	81	3	.	.	NOUN
ap-1751	81	4	example	example	NOUN
ap-1751	81	5	of	of	ADP
ap-1751	81	6	solution	solution	NOUN
ap-1751	81	7	of	of	ADP
ap-1751	81	8	the	the	DET
ap-1751	81	9	gbdr	gbdr	NOUN
ap-1751	81	10	with	with	ADP
ap-1751	81	11	marked	mark	VERB
ap-1751	81	12	maximal	maximal	ADJ
ap-1751	81	13	value	value	NOUN
ap-1751	81	14	of	of	ADP
ap-1751	81	15	imaginary	imaginary	ADJ
ap-1751	81	16	part	part	NOUN
ap-1751	81	17	.	.	PUNCT
ap-1751	82	1	3	3	X
ap-1751	82	2	.	.	X
ap-1751	82	3	pigr	pigr	NOUN
ap-1751	82	4	dependence	dependence	NOUN
ap-1751	82	5	on	on	ADP
ap-1751	82	6	various	various	ADJ
ap-1751	82	7	input	input	NOUN
ap-1751	82	8	parameters	parameter	NOUN
ap-1751	82	9	3.1	3.1	NUM
ap-1751	82	10	.	.	PUNCT
ap-1751	83	1	dependence	dependence	NOUN
ap-1751	83	2	on	on	ADP
ap-1751	83	3	cyclotron	cyclotron	NOUN
ap-1751	83	4	frequencies	frequency	NOUN
ap-1751	83	5	at	at	ADP
ap-1751	83	6	first	first	ADV
ap-1751	83	7	the	the	DET
ap-1751	83	8	pigr	pigr	NOUN
ap-1751	83	9	dependence	dependence	NOUN
ap-1751	83	10	on	on	ADP
ap-1751	83	11	both	both	DET
ap-1751	83	12	jet	jet	NOUN
ap-1751	83	13	and	and	CCONJ
ap-1751	83	14	the	the	DET
ap-1751	83	15	background	background	NOUN
ap-1751	83	16	cyclotron	cyclotron	NOUN
ap-1751	83	17	frequencies	frequency	NOUN
ap-1751	83	18	was	be	AUX
ap-1751	83	19	found	find	VERB
ap-1751	83	20	.	.	PUNCT
ap-1751	84	1	3.1.1	3.1.1	X
ap-1751	84	2	.	.	PUNCT
ap-1751	84	3	results	result	NOUN
ap-1751	84	4	for	for	ADP
ap-1751	84	5	ωc1	ωc1	NOUN
ap-1751	84	6	the	the	DET
ap-1751	84	7	parameters	parameter	NOUN
ap-1751	84	8	used	use	VERB
ap-1751	84	9	in	in	ADP
ap-1751	84	10	the	the	DET
ap-1751	84	11	simulations	simulation	NOUN
ap-1751	84	12	are	be	AUX
ap-1751	84	13	presented	present	VERB
ap-1751	84	14	in	in	ADP
ap-1751	84	15	tab	tab	NOUN
ap-1751	84	16	.	.	PUNCT
ap-1751	84	17	2	2	NUM
ap-1751	84	18	and	and	CCONJ
ap-1751	84	19	the	the	DET
ap-1751	84	20	results	result	NOUN
ap-1751	84	21	are	be	AUX
ap-1751	84	22	depicted	depict	VERB
ap-1751	84	23	in	in	ADP
ap-1751	84	24	fig	fig	NOUN
ap-1751	84	25	.	.	PUNCT
ap-1751	85	1	3	3	X
ap-1751	85	2	.	.	X
ap-1751	86	1	it	it	PRON
ap-1751	86	2	is	be	AUX
ap-1751	86	3	obvious	obvious	ADJ
ap-1751	86	4	that	that	SCONJ
ap-1751	86	5	the	the	DET
ap-1751	86	6	pigr	pigr	NOUN
ap-1751	86	7	grows	grow	VERB
ap-1751	86	8	linearly	linearly	ADV
ap-1751	86	9	from	from	ADP
ap-1751	86	10	the	the	DET
ap-1751	86	11	value	value	NOUN
ap-1751	86	12	ωc1	ωc1	NOUN
ap-1751	86	13	=	=	NOUN
ap-1751	86	14	0.6	0.6	NUM
ap-1751	86	15	.	.	PUNCT
ap-1751	87	1	parameter	parameter	NOUN
ap-1751	87	2	value	value	NOUN
ap-1751	87	3	ωc1	ωc1	PROPN
ap-1751	87	4	〈	〈	PROPN
ap-1751	87	5	0.5	0.5	NUM
ap-1751	87	6	,	,	PUNCT
ap-1751	87	7	3	3	NUM
ap-1751	87	8	〉	〉	NUM
ap-1751	87	9	ωc2	ωc2	NOUN
ap-1751	87	10	0.5	0.5	NUM
ap-1751	87	11	cs1	cs1	NOUN
ap-1751	87	12	=	=	SYM
ap-1751	87	13	cs2	cs2	PROPN
ap-1751	87	14	0.1	0.1	NUM
ap-1751	87	15	u2	u2	PROPN
ap-1751	87	16	0	0	PUNCT
ap-1751	87	17	ωp1	ωp1	NOUN
ap-1751	87	18	1	1	NUM
ap-1751	87	19	θk	θk	NOUN
ap-1751	87	20	π/2	π/2	PROPN
ap-1751	87	21	ϕ	ϕ	PROPN
ap-1751	87	22	0	0	PROPN
ap-1751	87	23	θb	θb	PROPN
ap-1751	87	24	π/4	π/4	PUNCT
ap-1751	87	25	table	table	NOUN
ap-1751	87	26	2	2	NUM
ap-1751	87	27	.	.	PUNCT
ap-1751	88	1	parameters	parameter	NOUN
ap-1751	88	2	used	use	VERB
ap-1751	88	3	in	in	ADP
ap-1751	88	4	the	the	DET
ap-1751	88	5	simulations	simulation	NOUN
ap-1751	88	6	with	with	ADP
ap-1751	88	7	various	various	ADJ
ap-1751	88	8	parameter	parameter	NOUN
ap-1751	88	9	ωc1	ωc1	PROPN
ap-1751	88	10	.	.	PUNCT
ap-1751	89	1	figure	figure	NOUN
ap-1751	89	2	3	3	NUM
ap-1751	89	3	.	.	PUNCT
ap-1751	90	1	the	the	DET
ap-1751	90	2	pigr	pigr	NOUN
ap-1751	90	3	dependence	dependence	NOUN
ap-1751	90	4	on	on	ADP
ap-1751	90	5	ωc1	ωc1	NOUN
ap-1751	90	6	.	.	PUNCT
ap-1751	91	1	176	176	NUM
ap-1751	91	2	vol	vol	NOUN
ap-1751	91	3	.	.	PUNCT
ap-1751	92	1	53	53	NUM
ap-1751	92	2	no	no	NOUN
ap-1751	92	3	.	.	PUNCT
ap-1751	93	1	2/2013	2/2013	NUM
ap-1751	93	2	instability	instability	NOUN
ap-1751	93	3	growth	growth	NOUN
ap-1751	93	4	rate	rate	NOUN
ap-1751	93	5	dependence	dependence	NOUN
ap-1751	93	6	3.1.2	3.1.2	NUM
ap-1751	93	7	.	.	PUNCT
ap-1751	93	8	results	result	NOUN
ap-1751	93	9	for	for	ADP
ap-1751	93	10	ωc2	ωc2	PRON
ap-1751	93	11	the	the	DET
ap-1751	93	12	parameters	parameter	NOUN
ap-1751	93	13	used	use	VERB
ap-1751	93	14	in	in	ADP
ap-1751	93	15	the	the	DET
ap-1751	93	16	simulations	simulation	NOUN
ap-1751	93	17	are	be	AUX
ap-1751	93	18	presented	present	VERB
ap-1751	93	19	in	in	ADP
ap-1751	93	20	tab	tab	NOUN
ap-1751	93	21	.	.	PUNCT
ap-1751	94	1	3	3	NUM
ap-1751	95	1	and	and	CCONJ
ap-1751	95	2	the	the	DET
ap-1751	95	3	results	result	NOUN
ap-1751	95	4	are	be	AUX
ap-1751	95	5	shown	show	VERB
ap-1751	95	6	in	in	ADP
ap-1751	95	7	fig	fig	NOUN
ap-1751	95	8	.	.	PUNCT
ap-1751	96	1	4	4	NUM
ap-1751	96	2	.	.	X
ap-1751	96	3	from	from	ADP
ap-1751	96	4	these	these	DET
ap-1751	96	5	results	result	NOUN
ap-1751	96	6	we	we	PRON
ap-1751	96	7	can	can	AUX
ap-1751	96	8	see	see	VERB
ap-1751	96	9	the	the	DET
ap-1751	96	10	local	local	ADJ
ap-1751	96	11	minimum	minimum	NOUN
ap-1751	96	12	of	of	ADP
ap-1751	96	13	pigr	pigr	NOUN
ap-1751	96	14	which	which	DET
ap-1751	96	15	origins	origin	NOUN
ap-1751	96	16	due	due	ADP
ap-1751	96	17	to	to	ADP
ap-1751	96	18	the	the	DET
ap-1751	96	19	bifurcation	bifurcation	NOUN
ap-1751	96	20	of	of	ADP
ap-1751	96	21	the	the	DET
ap-1751	96	22	solution	solution	NOUN
ap-1751	96	23	.	.	PUNCT
ap-1751	97	1	the	the	DET
ap-1751	97	2	bifurcation	bifurcation	NOUN
ap-1751	97	3	is	be	AUX
ap-1751	97	4	depicted	depict	VERB
ap-1751	97	5	in	in	ADP
ap-1751	97	6	three	three	NUM
ap-1751	97	7	dimensional	dimensional	ADJ
ap-1751	97	8	plot	plot	NOUN
ap-1751	97	9	where	where	SCONJ
ap-1751	97	10	the	the	DET
ap-1751	97	11	first	first	ADJ
ap-1751	97	12	axis	axis	NOUN
ap-1751	97	13	is	be	AUX
ap-1751	97	14	k	k	NOUN
ap-1751	97	15	,	,	PUNCT
ap-1751	97	16	second	second	ADJ
ap-1751	97	17	is	be	AUX
ap-1751	97	18	ω	ω	NUM
ap-1751	97	19	and	and	CCONJ
ap-1751	97	20	third	third	ADJ
ap-1751	97	21	is	be	AUX
ap-1751	97	22	ωc2	ωc2	PROPN
ap-1751	97	23	(	(	PUNCT
ap-1751	97	24	see	see	VERB
ap-1751	97	25	the	the	DET
ap-1751	97	26	fig	fig	NOUN
ap-1751	97	27	.	.	PUNCT
ap-1751	98	1	5	5	NUM
ap-1751	98	2	)	)	PUNCT
ap-1751	98	3	.	.	PUNCT
ap-1751	99	1	parameter	parameter	PROPN
ap-1751	99	2	value	value	NOUN
ap-1751	99	3	ωc1	ωc1	PROPN
ap-1751	99	4	0.5	0.5	NUM
ap-1751	99	5	ωc2	ωc2	NOUN
ap-1751	99	6	〈	〈	PROPN
ap-1751	99	7	0.5	0.5	NUM
ap-1751	99	8	,	,	PUNCT
ap-1751	99	9	3	3	NUM
ap-1751	99	10	〉	〉	NUM
ap-1751	99	11	cs1	cs1	NOUN
ap-1751	99	12	=	=	SYM
ap-1751	99	13	cs2	cs2	PROPN
ap-1751	99	14	0.1	0.1	NUM
ap-1751	100	1	u2	u2	PROPN
ap-1751	100	2	0	0	PUNCT
ap-1751	100	3	ωp1	ωp1	NOUN
ap-1751	100	4	1	1	NUM
ap-1751	100	5	θk	θk	NOUN
ap-1751	100	6	π/2	π/2	PROPN
ap-1751	100	7	ϕ	ϕ	PROPN
ap-1751	100	8	0	0	PROPN
ap-1751	100	9	θb	θb	PROPN
ap-1751	100	10	π/4	π/4	PUNCT
ap-1751	100	11	table	table	NOUN
ap-1751	100	12	3	3	NUM
ap-1751	100	13	.	.	PUNCT
ap-1751	101	1	parameters	parameter	NOUN
ap-1751	101	2	used	use	VERB
ap-1751	101	3	in	in	ADP
ap-1751	101	4	the	the	DET
ap-1751	101	5	simulations	simulation	NOUN
ap-1751	101	6	with	with	ADP
ap-1751	101	7	various	various	ADJ
ap-1751	101	8	parameter	parameter	PROPN
ap-1751	101	9	ωc2	ωc2	PROPN
ap-1751	101	10	.	.	PUNCT
ap-1751	102	1	figure	figure	NOUN
ap-1751	102	2	4	4	NUM
ap-1751	102	3	.	.	PUNCT
ap-1751	103	1	the	the	DET
ap-1751	103	2	pigr	pigr	NOUN
ap-1751	103	3	dependence	dependence	NOUN
ap-1751	103	4	on	on	ADP
ap-1751	103	5	ωc2	ωc2	PROPN
ap-1751	103	6	.	.	PUNCT
ap-1751	103	7	figure	figure	NOUN
ap-1751	103	8	5	5	NUM
ap-1751	103	9	.	.	PUNCT
ap-1751	104	1	imaginary	imaginary	ADJ
ap-1751	104	2	part	part	NOUN
ap-1751	104	3	of	of	ADP
ap-1751	104	4	the	the	DET
ap-1751	104	5	solution	solution	NOUN
ap-1751	104	6	in	in	ADP
ap-1751	104	7	three	three	NUM
ap-1751	104	8	dimensions	dimension	NOUN
ap-1751	104	9	with	with	ADP
ap-1751	104	10	an	an	DET
ap-1751	104	11	observable	observable	ADJ
ap-1751	104	12	bifurcation	bifurcation	NOUN
ap-1751	104	13	.	.	PUNCT
ap-1751	105	1	3.2	3.2	NUM
ap-1751	105	2	.	.	PUNCT
ap-1751	105	3	dependence	dependence	NOUN
ap-1751	105	4	on	on	ADP
ap-1751	105	5	sound	sound	ADJ
ap-1751	105	6	velocities	velocity	NOUN
ap-1751	105	7	subsequently	subsequently	ADV
ap-1751	105	8	the	the	DET
ap-1751	105	9	pigr	pigr	NOUN
ap-1751	105	10	dependence	dependence	NOUN
ap-1751	105	11	on	on	ADP
ap-1751	105	12	both	both	DET
ap-1751	105	13	jet	jet	NOUN
ap-1751	105	14	and	and	CCONJ
ap-1751	105	15	the	the	DET
ap-1751	105	16	background	background	NOUN
ap-1751	105	17	sound	sound	NOUN
ap-1751	105	18	velocities	velocity	NOUN
ap-1751	105	19	was	be	AUX
ap-1751	105	20	found	find	VERB
ap-1751	105	21	.	.	PUNCT
ap-1751	106	1	3.2.1	3.2.1	X
ap-1751	106	2	.	.	X
ap-1751	106	3	results	result	NOUN
ap-1751	106	4	for	for	ADP
ap-1751	106	5	cs1	cs1	PROPN
ap-1751	106	6	the	the	DET
ap-1751	106	7	parameters	parameter	NOUN
ap-1751	106	8	used	use	VERB
ap-1751	106	9	in	in	ADP
ap-1751	106	10	the	the	DET
ap-1751	106	11	simulations	simulation	NOUN
ap-1751	106	12	are	be	AUX
ap-1751	106	13	presented	present	VERB
ap-1751	106	14	in	in	ADP
ap-1751	106	15	tab	tab	NOUN
ap-1751	106	16	.	.	PUNCT
ap-1751	106	17	4	4	NUM
ap-1751	106	18	and	and	CCONJ
ap-1751	106	19	the	the	DET
ap-1751	106	20	results	result	NOUN
ap-1751	106	21	are	be	AUX
ap-1751	106	22	depicted	depict	VERB
ap-1751	106	23	in	in	ADP
ap-1751	106	24	fig	fig	NOUN
ap-1751	106	25	.	.	PUNCT
ap-1751	107	1	6	6	NUM
ap-1751	107	2	.	.	X
ap-1751	107	3	parameter	parameter	NOUN
ap-1751	107	4	value	value	NOUN
ap-1751	107	5	ωc1	ωc1	NOUN
ap-1751	107	6	0.5	0.5	NUM
ap-1751	107	7	ωc2	ωc2	NOUN
ap-1751	107	8	0.5	0.5	NUM
ap-1751	107	9	cs1	cs1	PROPN
ap-1751	107	10	〈	〈	PROPN
ap-1751	107	11	0.1	0.1	NUM
ap-1751	107	12	,	,	PUNCT
ap-1751	107	13	2	2	NUM
ap-1751	107	14	〉	〉	NUM
ap-1751	107	15	cs2	cs2	NOUN
ap-1751	107	16	0.1	0.1	NUM
ap-1751	107	17	u2	u2	PROPN
ap-1751	107	18	0	0	PUNCT
ap-1751	107	19	ωp1	ωp1	NOUN
ap-1751	107	20	1	1	NUM
ap-1751	107	21	θk	θk	NOUN
ap-1751	107	22	π/2	π/2	PROPN
ap-1751	107	23	ϕ	ϕ	PROPN
ap-1751	107	24	0	0	PROPN
ap-1751	107	25	θb	θb	PROPN
ap-1751	107	26	π/4	π/4	PUNCT
ap-1751	107	27	table	table	NOUN
ap-1751	107	28	4	4	NUM
ap-1751	107	29	.	.	PUNCT
ap-1751	108	1	parameters	parameter	NOUN
ap-1751	108	2	used	use	VERB
ap-1751	108	3	in	in	ADP
ap-1751	108	4	the	the	DET
ap-1751	108	5	simulations	simulation	NOUN
ap-1751	108	6	with	with	ADP
ap-1751	108	7	various	various	ADJ
ap-1751	108	8	parameter	parameter	PROPN
ap-1751	108	9	cs1	cs1	PROPN
ap-1751	108	10	.	.	PUNCT
ap-1751	109	1	figure	figure	VERB
ap-1751	109	2	6	6	NUM
ap-1751	109	3	.	.	PUNCT
ap-1751	110	1	the	the	DET
ap-1751	110	2	pigr	pigr	NOUN
ap-1751	110	3	dependence	dependence	NOUN
ap-1751	110	4	on	on	ADP
ap-1751	110	5	cs1	cs1	PROPN
ap-1751	110	6	.	.	PUNCT
ap-1751	111	1	it	it	PRON
ap-1751	111	2	is	be	AUX
ap-1751	111	3	obvious	obvious	ADJ
ap-1751	111	4	that	that	SCONJ
ap-1751	111	5	after	after	ADP
ap-1751	111	6	value	value	NOUN
ap-1751	111	7	cs1	cs1	NOUN
ap-1751	111	8	=	=	NOUN
ap-1751	111	9	1	1	NUM
ap-1751	111	10	,	,	PUNCT
ap-1751	111	11	there	there	PRON
ap-1751	111	12	is	be	VERB
ap-1751	111	13	no	no	DET
ap-1751	111	14	imaginary	imaginary	ADJ
ap-1751	111	15	branch	branch	NOUN
ap-1751	111	16	of	of	ADP
ap-1751	111	17	the	the	DET
ap-1751	111	18	solution	solution	NOUN
ap-1751	111	19	,	,	PUNCT
ap-1751	111	20	so	so	CCONJ
ap-1751	111	21	there	there	PRON
ap-1751	111	22	are	be	VERB
ap-1751	111	23	not	not	PART
ap-1751	111	24	any	any	DET
ap-1751	111	25	instabilities	instability	NOUN
ap-1751	111	26	.	.	PUNCT
ap-1751	112	1	3.2.2	3.2.2	X
ap-1751	112	2	.	.	PUNCT
ap-1751	112	3	results	result	NOUN
ap-1751	112	4	for	for	ADP
ap-1751	112	5	cs2	cs2	NOUN
ap-1751	112	6	the	the	DET
ap-1751	112	7	parameters	parameter	NOUN
ap-1751	112	8	used	use	VERB
ap-1751	112	9	in	in	ADP
ap-1751	112	10	the	the	DET
ap-1751	112	11	simulations	simulation	NOUN
ap-1751	112	12	are	be	AUX
ap-1751	112	13	presented	present	VERB
ap-1751	112	14	in	in	ADP
ap-1751	112	15	tab	tab	NOUN
ap-1751	112	16	.	.	PROPN
ap-1751	113	1	5	5	NUM
ap-1751	114	1	and	and	CCONJ
ap-1751	114	2	the	the	DET
ap-1751	114	3	results	result	NOUN
ap-1751	114	4	are	be	AUX
ap-1751	114	5	depicted	depict	VERB
ap-1751	114	6	in	in	ADP
ap-1751	114	7	fig	fig	NOUN
ap-1751	114	8	.	.	PUNCT
ap-1751	115	1	7	7	X
ap-1751	115	2	.	.	X
ap-1751	115	3	figure	figure	VERB
ap-1751	115	4	7	7	NUM
ap-1751	115	5	presents	present	VERB
ap-1751	115	6	a	a	DET
ap-1751	115	7	similiar	similiar	ADJ
ap-1751	115	8	bifurcation	bifurcation	NOUN
ap-1751	115	9	point	point	NOUN
ap-1751	115	10	like	like	ADP
ap-1751	115	11	in	in	ADP
ap-1751	115	12	fig	fig	NOUN
ap-1751	115	13	.	.	PUNCT
ap-1751	116	1	4	4	X
ap-1751	116	2	.	.	X
ap-1751	116	3	parameter	parameter	NOUN
ap-1751	116	4	value	value	NOUN
ap-1751	116	5	ωc1	ωc1	NOUN
ap-1751	116	6	0.5	0.5	NUM
ap-1751	116	7	ωc2	ωc2	NOUN
ap-1751	116	8	0.5	0.5	NUM
ap-1751	116	9	cs1	cs1	NOUN
ap-1751	116	10	0.1	0.1	NUM
ap-1751	116	11	cs2	cs2	PROPN
ap-1751	116	12	〈	〈	PROPN
ap-1751	116	13	0.1	0.1	NUM
ap-1751	116	14	,	,	PUNCT
ap-1751	116	15	1.5	1.5	NUM
ap-1751	116	16	〉	〉	NOUN
ap-1751	116	17	u2	u2	NOUN
ap-1751	116	18	0	0	PUNCT
ap-1751	116	19	ωp1	ωp1	NOUN
ap-1751	116	20	1	1	NUM
ap-1751	116	21	θk	θk	NOUN
ap-1751	116	22	π/2	π/2	PROPN
ap-1751	116	23	ϕ	ϕ	PROPN
ap-1751	116	24	0	0	PROPN
ap-1751	116	25	θb	θb	PROPN
ap-1751	116	26	π/4	π/4	PUNCT
ap-1751	116	27	table	table	NOUN
ap-1751	116	28	5	5	NUM
ap-1751	116	29	.	.	PUNCT
ap-1751	117	1	parameters	parameter	NOUN
ap-1751	117	2	used	use	VERB
ap-1751	117	3	in	in	ADP
ap-1751	117	4	the	the	DET
ap-1751	117	5	simulations	simulation	NOUN
ap-1751	117	6	with	with	ADP
ap-1751	117	7	various	various	ADJ
ap-1751	117	8	parameter	parameter	NOUN
ap-1751	117	9	cs2	cs2	PROPN
ap-1751	117	10	.	.	PROPN
ap-1751	118	1	177	177	NUM
ap-1751	118	2	miroslav	miroslav	ADJ
ap-1751	118	3	horký	horký	PROPN
ap-1751	118	4	acta	acta	PROPN
ap-1751	118	5	polytechnica	polytechnica	PROPN
ap-1751	118	6	figure	figure	NOUN
ap-1751	118	7	7	7	NUM
ap-1751	118	8	.	.	PUNCT
ap-1751	119	1	the	the	DET
ap-1751	119	2	pigr	pigr	NOUN
ap-1751	119	3	dependence	dependence	NOUN
ap-1751	119	4	on	on	ADP
ap-1751	119	5	cs2	cs2	PROPN
ap-1751	119	6	.	.	PROPN
ap-1751	119	7	3.3	3.3	NUM
ap-1751	119	8	.	.	PUNCT
ap-1751	120	1	results	result	NOUN
ap-1751	120	2	overview	overview	NOUN
ap-1751	120	3	we	we	PRON
ap-1751	120	4	found	find	VERB
ap-1751	120	5	the	the	DET
ap-1751	120	6	pigr	pigr	NOUN
ap-1751	120	7	dependence	dependence	NOUN
ap-1751	120	8	on	on	ADP
ap-1751	120	9	four	four	NUM
ap-1751	120	10	parameters	parameter	NOUN
ap-1751	120	11	ωc1	ωc1	PROPN
ap-1751	120	12	,	,	PUNCT
ap-1751	120	13	ωc2	ωc2	PROPN
ap-1751	120	14	,	,	PUNCT
ap-1751	120	15	cs1	cs1	PROPN
ap-1751	120	16	,	,	PUNCT
ap-1751	120	17	and	and	CCONJ
ap-1751	120	18	cs2	cs2	NOUN
ap-1751	120	19	.	.	PUNCT
ap-1751	121	1	the	the	DET
ap-1751	121	2	main	main	ADJ
ap-1751	121	3	dissimilarity	dissimilarity	NOUN
ap-1751	121	4	between	between	ADP
ap-1751	121	5	the	the	DET
ap-1751	121	6	dependencies	dependency	NOUN
ap-1751	121	7	on	on	ADP
ap-1751	121	8	the	the	DET
ap-1751	121	9	cyclotron	cyclotron	NOUN
ap-1751	121	10	frequencies	frequency	NOUN
ap-1751	121	11	is	be	AUX
ap-1751	121	12	caused	cause	VERB
ap-1751	121	13	by	by	ADP
ap-1751	121	14	zero	zero	NUM
ap-1751	121	15	velocity	velocity	NOUN
ap-1751	121	16	of	of	ADP
ap-1751	121	17	the	the	DET
ap-1751	121	18	background	background	NOUN
ap-1751	121	19	.	.	PUNCT
ap-1751	122	1	since	since	SCONJ
ap-1751	122	2	the	the	DET
ap-1751	122	3	jet	jet	NOUN
ap-1751	122	4	has	have	VERB
ap-1751	122	5	non	non	ADJ
ap-1751	122	6	-	-	ADJ
ap-1751	122	7	zero	zero	ADJ
ap-1751	122	8	velocity	velocity	NOUN
ap-1751	122	9	with	with	ADP
ap-1751	122	10	a	a	DET
ap-1751	122	11	component	component	NOUN
ap-1751	122	12	perpendicular	perpendicular	NOUN
ap-1751	122	13	to	to	ADP
ap-1751	122	14	the	the	DET
ap-1751	122	15	magnetic	magnetic	ADJ
ap-1751	122	16	field	field	NOUN
ap-1751	122	17	,	,	PUNCT
ap-1751	122	18	the	the	DET
ap-1751	122	19	jet	jet	NOUN
ap-1751	122	20	particles	particle	NOUN
ap-1751	122	21	react	react	VERB
ap-1751	122	22	to	to	ADP
ap-1751	122	23	the	the	DET
ap-1751	122	24	change	change	NOUN
ap-1751	122	25	of	of	ADP
ap-1751	122	26	the	the	DET
ap-1751	122	27	magnetic	magnetic	ADJ
ap-1751	122	28	field	field	NOUN
ap-1751	122	29	more	more	ADV
ap-1751	122	30	strongly	strongly	ADV
ap-1751	122	31	than	than	ADP
ap-1751	122	32	the	the	DET
ap-1751	122	33	background	background	NOUN
ap-1751	122	34	particles	particle	NOUN
ap-1751	122	35	.	.	PUNCT
ap-1751	123	1	the	the	DET
ap-1751	123	2	dissimilarity	dissimilarity	NOUN
ap-1751	123	3	between	between	ADP
ap-1751	123	4	the	the	DET
ap-1751	123	5	dependencies	dependency	NOUN
ap-1751	123	6	on	on	ADP
ap-1751	123	7	the	the	DET
ap-1751	123	8	sound	sound	ADJ
ap-1751	123	9	velocities	velocity	NOUN
ap-1751	123	10	has	have	VERB
ap-1751	123	11	the	the	DET
ap-1751	123	12	same	same	ADJ
ap-1751	123	13	origin	origin	NOUN
ap-1751	123	14	.	.	PUNCT
ap-1751	124	1	beause	beause	NOUN
ap-1751	124	2	of	of	ADP
ap-1751	124	3	the	the	DET
ap-1751	124	4	non	non	ADJ
ap-1751	124	5	-	-	ADJ
ap-1751	124	6	zero	zero	ADJ
ap-1751	124	7	velocity	velocity	NOUN
ap-1751	124	8	of	of	ADP
ap-1751	124	9	the	the	DET
ap-1751	124	10	jet	jet	NOUN
ap-1751	124	11	,	,	PUNCT
ap-1751	124	12	the	the	DET
ap-1751	124	13	jet	jet	NOUN
ap-1751	124	14	could	could	AUX
ap-1751	124	15	be	be	AUX
ap-1751	124	16	subsonic	subsonic	ADJ
ap-1751	124	17	and	and	CCONJ
ap-1751	124	18	therefore	therefore	ADV
ap-1751	124	19	it	it	PRON
ap-1751	124	20	could	could	AUX
ap-1751	124	21	be	be	AUX
ap-1751	124	22	in	in	ADP
ap-1751	124	23	the	the	DET
ap-1751	124	24	state	state	NOUN
ap-1751	124	25	with	with	ADP
ap-1751	124	26	no	no	DET
ap-1751	124	27	instabilities	instability	NOUN
ap-1751	124	28	.	.	PUNCT
ap-1751	125	1	4	4	X
ap-1751	125	2	.	.	X
ap-1751	125	3	conclusions	conclusion	NOUN
ap-1751	125	4	and	and	CCONJ
ap-1751	125	5	future	future	ADJ
ap-1751	125	6	work	work	NOUN
ap-1751	125	7	first	first	ADV
ap-1751	125	8	of	of	ADP
ap-1751	125	9	all	all	PRON
ap-1751	125	10	,	,	PUNCT
ap-1751	125	11	the	the	DET
ap-1751	125	12	gbdr	gbdr	NOUN
ap-1751	125	13	was	be	AUX
ap-1751	125	14	converted	convert	VERB
ap-1751	125	15	into	into	ADP
ap-1751	125	16	a	a	DET
ap-1751	125	17	nondimensional	nondimensional	ADJ
ap-1751	125	18	form	form	NOUN
ap-1751	125	19	which	which	PRON
ap-1751	125	20	ensures	ensure	VERB
ap-1751	125	21	the	the	DET
ap-1751	125	22	scale	scale	NOUN
ap-1751	125	23	invariance	invariance	NOUN
ap-1751	125	24	of	of	ADP
ap-1751	125	25	the	the	DET
ap-1751	125	26	problem	problem	NOUN
ap-1751	125	27	,	,	PUNCT
ap-1751	125	28	which	which	PRON
ap-1751	125	29	means	mean	VERB
ap-1751	125	30	that	that	SCONJ
ap-1751	125	31	the	the	DET
ap-1751	125	32	results	result	NOUN
ap-1751	125	33	can	can	AUX
ap-1751	125	34	be	be	AUX
ap-1751	125	35	used	use	VERB
ap-1751	125	36	both	both	CCONJ
ap-1751	125	37	for	for	ADP
ap-1751	125	38	the	the	DET
ap-1751	125	39	laboratory	laboratory	NOUN
ap-1751	125	40	and	and	CCONJ
ap-1751	125	41	astrophysical	astrophysical	ADJ
ap-1751	125	42	plasmas	plasma	NOUN
ap-1751	125	43	.	.	PUNCT
ap-1751	126	1	afterwards	afterwards	ADV
ap-1751	126	2	the	the	DET
ap-1751	126	3	dispersion	dispersion	NOUN
ap-1751	126	4	relation	relation	NOUN
ap-1751	126	5	had	have	AUX
ap-1751	126	6	been	be	AUX
ap-1751	126	7	solved	solve	VERB
ap-1751	126	8	for	for	ADP
ap-1751	126	9	the	the	DET
ap-1751	126	10	angular	angular	ADJ
ap-1751	126	11	frequency	frequency	NOUN
ap-1751	126	12	via	via	ADP
ap-1751	126	13	the	the	DET
ap-1751	126	14	algorithm	algorithm	NOUN
ap-1751	126	15	suggested	suggest	VERB
ap-1751	126	16	by	by	ADP
ap-1751	126	17	hubbard	hubbard	PROPN
ap-1751	126	18	,	,	PUNCT
ap-1751	126	19	schleicher	schleicher	ADJ
ap-1751	126	20	,	,	PUNCT
ap-1751	126	21	and	and	CCONJ
ap-1751	126	22	sutherland	sutherland	PROPN
ap-1751	126	23	.	.	PUNCT
ap-1751	127	1	in	in	ADP
ap-1751	127	2	every	every	DET
ap-1751	127	3	solution	solution	NOUN
ap-1751	127	4	branch	branch	NOUN
ap-1751	127	5	there	there	PRON
ap-1751	127	6	were	be	AUX
ap-1751	127	7	separated	separate	VERB
ap-1751	127	8	real	real	ADJ
ap-1751	127	9	and	and	CCONJ
ap-1751	127	10	imaginary	imaginary	ADJ
ap-1751	127	11	parts	part	NOUN
ap-1751	127	12	and	and	CCONJ
ap-1751	127	13	subsequently	subsequently	ADV
ap-1751	127	14	found	find	VERB
ap-1751	127	15	plasma	plasma	NOUN
ap-1751	127	16	instability	instability	NOUN
ap-1751	127	17	growth	growth	NOUN
ap-1751	127	18	rate	rate	NOUN
ap-1751	127	19	numerically	numerically	ADV
ap-1751	127	20	.	.	PUNCT
ap-1751	128	1	finally	finally	ADV
ap-1751	128	2	,	,	PUNCT
ap-1751	128	3	the	the	DET
ap-1751	128	4	pigr	pigr	NOUN
ap-1751	128	5	dependence	dependence	NOUN
ap-1751	128	6	on	on	ADP
ap-1751	128	7	four	four	NUM
ap-1751	128	8	input	input	NOUN
ap-1751	128	9	parameters	parameter	NOUN
ap-1751	128	10	ωc1	ωc1	PROPN
ap-1751	128	11	,	,	PUNCT
ap-1751	128	12	ωc2	ωc2	PROPN
ap-1751	128	13	,	,	PUNCT
ap-1751	128	14	cs1	cs1	PROPN
ap-1751	128	15	and	and	CCONJ
ap-1751	128	16	cs2	cs2	NOUN
ap-1751	128	17	was	be	AUX
ap-1751	128	18	found	find	VERB
ap-1751	128	19	.	.	PUNCT
ap-1751	129	1	all	all	DET
ap-1751	129	2	these	these	DET
ap-1751	129	3	numerical	numerical	ADJ
ap-1751	129	4	calculations	calculation	NOUN
ap-1751	129	5	were	be	AUX
ap-1751	129	6	done	do	VERB
ap-1751	129	7	on	on	ADP
ap-1751	129	8	microscopic	microscopic	ADJ
ap-1751	129	9	scale	scale	NOUN
ap-1751	129	10	and	and	CCONJ
ap-1751	129	11	in	in	ADP
ap-1751	129	12	the	the	DET
ap-1751	129	13	linear	linear	PROPN
ap-1751	129	14	approximation	approximation	NOUN
ap-1751	129	15	.	.	PUNCT
ap-1751	130	1	these	these	DET
ap-1751	130	2	results	result	NOUN
ap-1751	130	3	can	can	AUX
ap-1751	130	4	be	be	AUX
ap-1751	130	5	used	use	VERB
ap-1751	130	6	for	for	ADP
ap-1751	130	7	lookup	lookup	NOUN
ap-1751	130	8	of	of	ADP
ap-1751	130	9	the	the	DET
ap-1751	130	10	plasma	plasma	NOUN
ap-1751	130	11	parameters	parameter	NOUN
ap-1751	130	12	close	close	ADJ
ap-1751	130	13	to	to	ADP
ap-1751	130	14	which	which	PRON
ap-1751	130	15	the	the	DET
ap-1751	130	16	strong	strong	ADJ
ap-1751	130	17	energy	energy	NOUN
ap-1751	130	18	transfer	transfer	NOUN
ap-1751	130	19	and	and	CCONJ
ap-1751	130	20	thermalization	thermalization	NOUN
ap-1751	130	21	between	between	ADP
ap-1751	130	22	the	the	DET
ap-1751	130	23	beam	beam	NOUN
ap-1751	130	24	and	and	CCONJ
ap-1751	130	25	the	the	DET
ap-1751	130	26	target	target	NOUN
ap-1751	130	27	occurs	occur	VERB
ap-1751	130	28	which	which	PRON
ap-1751	130	29	will	will	AUX
ap-1751	130	30	be	be	AUX
ap-1751	130	31	the	the	DET
ap-1751	130	32	first	first	ADJ
ap-1751	130	33	part	part	NOUN
ap-1751	130	34	of	of	ADP
ap-1751	130	35	the	the	DET
ap-1751	130	36	future	future	ADJ
ap-1751	130	37	work	work	NOUN
ap-1751	130	38	.	.	PUNCT
ap-1751	131	1	another	another	DET
ap-1751	131	2	part	part	NOUN
ap-1751	131	3	will	will	AUX
ap-1751	131	4	be	be	AUX
ap-1751	131	5	particle	particle	NOUN
ap-1751	131	6	in	in	ADP
ap-1751	131	7	cell	cell	NOUN
ap-1751	131	8	simulations	simulation	NOUN
ap-1751	131	9	of	of	ADP
ap-1751	131	10	plasma	plasma	NOUN
ap-1751	131	11	turbulences	turbulence	NOUN
ap-1751	131	12	origin	origin	NOUN
ap-1751	131	13	in	in	ADP
ap-1751	131	14	the	the	DET
ap-1751	131	15	vicinity	vicinity	NOUN
ap-1751	131	16	of	of	ADP
ap-1751	131	17	pigr	pigr	PROPN
ap-1751	131	18	maximum	maximum	PROPN
ap-1751	131	19	.	.	PUNCT
ap-1751	132	1	acknowledgements	acknowledgement	NOUN
ap-1751	132	2	research	research	NOUN
ap-1751	132	3	described	describe	VERB
ap-1751	132	4	in	in	ADP
ap-1751	132	5	the	the	DET
ap-1751	132	6	paper	paper	NOUN
ap-1751	132	7	was	be	AUX
ap-1751	132	8	supervised	supervise	VERB
ap-1751	132	9	by	by	ADP
ap-1751	132	10	prof	prof	NOUN
ap-1751	132	11	.	.	PUNCT
ap-1751	133	1	p.	p.	NOUN
ap-1751	133	2	kulhánek	kulhánek	ADV
ap-1751	133	3	from	from	ADP
ap-1751	133	4	the	the	DET
ap-1751	133	5	fee	fee	NOUN
ap-1751	133	6	ctu	ctu	NOUN
ap-1751	133	7	in	in	ADP
ap-1751	133	8	prague	prague	NOUN
ap-1751	133	9	and	and	CCONJ
ap-1751	133	10	supported	support	VERB
ap-1751	133	11	by	by	ADP
ap-1751	133	12	the	the	DET
ap-1751	133	13	ctu	ctu	NOUN
ap-1751	133	14	grants	grant	NOUN
ap-1751	133	15	sgs10/266	sgs10/266	ADP
ap-1751	133	16	/	/	SYM
ap-1751	133	17	ohk3/3t/13	ohk3/3t/13	ADJ
ap-1751	133	18	,	,	PUNCT
ap-1751	133	19	sgs12/181	sgs12/181	X
ap-1751	133	20	/	/	SYM
ap-1751	133	21	ohk3/3t/13	ohk3/3t/13	ADJ
ap-1751	133	22	.	.	PUNCT
ap-1751	134	1	references	reference	NOUN
ap-1751	134	2	[	[	X
ap-1751	134	3	1	1	NUM
ap-1751	134	4	]	]	X
ap-1751	134	5	o.	o.	PROPN
ap-1751	134	6	buneman	buneman	PROPN
ap-1751	134	7	.	.	PUNCT
ap-1751	135	1	dissipation	dissipation	NOUN
ap-1751	135	2	of	of	ADP
ap-1751	135	3	currents	current	NOUN
ap-1751	135	4	in	in	ADP
ap-1751	135	5	ionized	ionized	ADJ
ap-1751	135	6	media	medium	NOUN
ap-1751	135	7	.	.	PUNCT
ap-1751	136	1	phys	phy	NOUN
ap-1751	136	2	rev	rev	VERB
ap-1751	136	3	115(3):503–517	115(3):503–517	PROPN
ap-1751	136	4	,	,	PUNCT
ap-1751	136	5	1959	1959	NUM
ap-1751	136	6	.	.	PUNCT
ap-1751	137	1	[	[	X
ap-1751	137	2	2	2	NUM
ap-1751	137	3	]	]	PUNCT
ap-1751	137	4	m.	m.	NOUN
ap-1751	137	5	horky	horky	PROPN
ap-1751	137	6	.	.	PUNCT
ap-1751	138	1	numerical	numerical	ADJ
ap-1751	138	2	solution	solution	NOUN
ap-1751	138	3	of	of	ADP
ap-1751	138	4	the	the	DET
ap-1751	138	5	generalized	generalize	VERB
ap-1751	138	6	buneman	buneman	NOUN
ap-1751	138	7	dispersion	dispersion	NOUN
ap-1751	138	8	relation	relation	NOUN
ap-1751	138	9	.	.	PUNCT
ap-1751	139	1	in	in	ADP
ap-1751	139	2	proceedings	proceeding	NOUN
ap-1751	139	3	of	of	ADP
ap-1751	139	4	poster	poster	NOUN
ap-1751	139	5	2012	2012	NUM
ap-1751	139	6	.	.	PUNCT
ap-1751	140	1	prague	prague	PROPN
ap-1751	140	2	,	,	PUNCT
ap-1751	140	3	2012	2012	NUM
ap-1751	140	4	.	.	PUNCT
ap-1751	141	1	[	[	X
ap-1751	141	2	3	3	X
ap-1751	141	3	]	]	PUNCT
ap-1751	141	4	j.	j.	PROPN
ap-1751	141	5	hubbard	hubbard	PROPN
ap-1751	141	6	,	,	PUNCT
ap-1751	141	7	d.	d.	PROPN
ap-1751	141	8	schleicher	schleicher	PROPN
ap-1751	141	9	,	,	PUNCT
ap-1751	141	10	s.	s.	PROPN
ap-1751	141	11	sutherland	sutherland	PROPN
ap-1751	141	12	.	.	PUNCT
ap-1751	142	1	how	how	SCONJ
ap-1751	142	2	to	to	PART
ap-1751	142	3	find	find	VERB
ap-1751	142	4	all	all	DET
ap-1751	142	5	roots	root	NOUN
ap-1751	142	6	of	of	ADP
ap-1751	142	7	complex	complex	ADJ
ap-1751	142	8	polynomials	polynomial	NOUN
ap-1751	142	9	with	with	ADP
ap-1751	142	10	newton	newton	PROPN
ap-1751	142	11	’s	’s	PART
ap-1751	142	12	method	method	NOUN
ap-1751	142	13	.	.	PUNCT
ap-1751	143	1	inventiones	inventione	NOUN
ap-1751	143	2	mathematicae	mathematicae	PROPN
ap-1751	143	3	146:1–33	146:1–33	NUM
ap-1751	143	4	,	,	PUNCT
ap-1751	143	5	2001	2001	NUM
ap-1751	143	6	.	.	PUNCT
ap-1751	144	1	[	[	X
ap-1751	144	2	4	4	X
ap-1751	144	3	]	]	PUNCT
ap-1751	144	4	p.	p.	NOUN
ap-1751	144	5	kulhanek	kulhanek	PROPN
ap-1751	144	6	.	.	PUNCT
ap-1751	145	1	uvod	uvod	PROPN
ap-1751	145	2	to	to	ADP
ap-1751	145	3	teorie	teorie	PROPN
ap-1751	145	4	plazmatu	plazmatu	PROPN
ap-1751	145	5	.	.	PUNCT
ap-1751	146	1	aga	aga	PROPN
ap-1751	146	2	,	,	PUNCT
ap-1751	146	3	prague	prague	PROPN
ap-1751	146	4	,	,	PUNCT
ap-1751	146	5	1st	1st	ADJ
ap-1751	146	6	edn	edn	PROPN
ap-1751	146	7	.	.	PUNCT
ap-1751	146	8	,	,	PUNCT
ap-1751	146	9	2011	2011	NUM
ap-1751	146	10	.	.	PUNCT
ap-1751	147	1	(	(	PUNCT
ap-1751	147	2	in	in	ADP
ap-1751	147	3	czech	czech	PROPN
ap-1751	147	4	)	)	PUNCT
ap-1751	147	5	.	.	PUNCT
ap-1751	148	1	[	[	X
ap-1751	148	2	5	5	X
ap-1751	148	3	]	]	PUNCT
ap-1751	148	4	p.	p.	NOUN
ap-1751	148	5	kulhanek	kulhanek	PROPN
ap-1751	148	6	,	,	PUNCT
ap-1751	148	7	d.	d.	PROPN
ap-1751	148	8	bren	bren	PROPN
ap-1751	148	9	,	,	PUNCT
ap-1751	148	10	m.	m.	NOUN
ap-1751	148	11	bohata	bohata	NOUN
ap-1751	148	12	.	.	PUNCT
ap-1751	149	1	generalized	generalize	VERB
ap-1751	149	2	buneman	buneman	ADJ
ap-1751	149	3	dispersion	dispersion	NOUN
ap-1751	149	4	relation	relation	NOUN
ap-1751	149	5	in	in	ADP
ap-1751	149	6	longitudinally	longitudinally	ADV
ap-1751	149	7	dominated	dominate	VERB
ap-1751	149	8	magnetic	magnetic	ADJ
ap-1751	149	9	field	field	NOUN
ap-1751	149	10	.	.	PUNCT
ap-1751	150	1	isrn	isrn	NOUN
ap-1751	150	2	condensed	condense	VERB
ap-1751	150	3	matter	matter	ADJ
ap-1751	150	4	physics	physics	NOUN
ap-1751	150	5	2011	2011	NUM
ap-1751	150	6	,	,	PUNCT
ap-1751	150	7	2011	2011	NUM
ap-1751	150	8	.	.	PUNCT
ap-1751	151	1	article	article	NOUN
ap-1751	151	2	i	i	PROPN
ap-1751	151	3	d	d	PROPN
ap-1751	151	4	896321	896321	NUM
ap-1751	151	5	.	.	PUNCT
ap-1751	152	1	[	[	X
ap-1751	152	2	6	6	NUM
ap-1751	152	3	]	]	PUNCT
ap-1751	152	4	i.	i.	PROPN
ap-1751	152	5	nishikawa	nishikawa	PROPN
ap-1751	152	6	,	,	PUNCT
ap-1751	152	7	k.	k.	PROPN
ap-1751	152	8	,	,	PUNCT
ap-1751	152	9	p.	p.	PROPN
ap-1751	152	10	hardee	hardee	PROPN
ap-1751	152	11	,	,	PUNCT
ap-1751	152	12	b.	b.	PROPN
ap-1751	152	13	hededal	hededal	PROPN
ap-1751	152	14	,	,	PUNCT
ap-1751	152	15	c.	c.	PROPN
ap-1751	152	16	,	,	PUNCT
ap-1751	152	17	et	et	PROPN
ap-1751	152	18	al	al	PROPN
ap-1751	152	19	.	.	PROPN
ap-1751	152	20	particle	particle	NOUN
ap-1751	152	21	acceleration	acceleration	NOUN
ap-1751	152	22	,	,	PUNCT
ap-1751	152	23	magnetic	magnetic	ADJ
ap-1751	152	24	field	field	NOUN
ap-1751	152	25	generation	generation	NOUN
ap-1751	152	26	,	,	PUNCT
ap-1751	152	27	and	and	CCONJ
ap-1751	152	28	emission	emission	NOUN
ap-1751	152	29	in	in	ADP
ap-1751	152	30	relativistic	relativistic	ADJ
ap-1751	152	31	shocks	shock	NOUN
ap-1751	152	32	.	.	PUNCT
ap-1751	153	1	advances	advance	NOUN
ap-1751	153	2	in	in	ADP
ap-1751	153	3	space	space	NOUN
ap-1751	153	4	research	research	NOUN
ap-1751	153	5	38:1316–1319	38:1316–1319	NUM
ap-1751	153	6	,	,	PUNCT
ap-1751	153	7	2006	2006	NUM
ap-1751	153	8	.	.	PUNCT
ap-1751	154	1	[	[	X
ap-1751	154	2	7	7	NUM
ap-1751	154	3	]	]	PUNCT
ap-1751	154	4	a.	a.	NOUN
ap-1751	154	5	pokhotelov	pokhotelov	NOUN
ap-1751	154	6	,	,	PUNCT
ap-1751	154	7	o.	o.	PROPN
ap-1751	154	8	,	,	PUNCT
ap-1751	154	9	a.	a.	PROPN
ap-1751	154	10	balikhin	balikhin	PROPN
ap-1751	154	11	,	,	PUNCT
ap-1751	154	12	m.	m.	NOUN
ap-1751	154	13	weibel	weibel	NOUN
ap-1751	154	14	instability	instability	NOUN
ap-1751	154	15	in	in	ADP
ap-1751	154	16	a	a	DET
ap-1751	154	17	plasma	plasma	NOUN
ap-1751	154	18	with	with	ADP
ap-1751	154	19	nonzero	nonzero	ADJ
ap-1751	154	20	external	external	ADJ
ap-1751	154	21	magnetic	magnetic	ADJ
ap-1751	154	22	field	field	NOUN
ap-1751	154	23	.	.	PUNCT
ap-1751	155	1	ann	ann	PROPN
ap-1751	155	2	geophys	geophys	PROPN
ap-1751	155	3	30:1051–1054	30:1051–1054	NUM
ap-1751	155	4	,	,	PUNCT
ap-1751	155	5	2012	2012	NUM
ap-1751	155	6	.	.	PUNCT
ap-1751	156	1	[	[	X
ap-1751	156	2	8	8	NUM
ap-1751	156	3	]	]	X
ap-1751	156	4	e.	e.	PROPN
ap-1751	156	5	s.	s.	PROPN
ap-1751	156	6	weibel	weibel	PROPN
ap-1751	156	7	.	.	PUNCT
ap-1751	157	1	spontaneously	spontaneously	ADV
ap-1751	157	2	growing	grow	VERB
ap-1751	157	3	transverse	transverse	NOUN
ap-1751	157	4	waves	wave	NOUN
ap-1751	157	5	in	in	ADP
ap-1751	157	6	a	a	DET
ap-1751	157	7	plasma	plasma	NOUN
ap-1751	157	8	due	due	ADP
ap-1751	157	9	to	to	ADP
ap-1751	157	10	an	an	DET
ap-1751	157	11	anisotropic	anisotropic	NOUN
ap-1751	157	12	velocity	velocity	NOUN
ap-1751	157	13	distribution	distribution	NOUN
ap-1751	157	14	.	.	PUNCT
ap-1751	158	1	phys	phy	NOUN
ap-1751	158	2	rev	rev	VERB
ap-1751	158	3	lett	lett	PROPN
ap-1751	158	4	2(3):83–84	2(3):83–84	NUM
ap-1751	158	5	,	,	PUNCT
ap-1751	158	6	1959	1959	NUM
ap-1751	158	7	.	.	PUNCT
ap-1751	159	1	178	178	NUM
ap-1751	159	2	acta	acta	PROPN
ap-1751	159	3	polytechnica	polytechnica	NOUN
ap-1751	159	4	53(2):174–178	53(2):174–178	PROPN
ap-1751	159	5	,	,	PUNCT
ap-1751	159	6	2013	2013	NUM
ap-1751	159	7	1	1	NUM
ap-1751	159	8	introduction	introduction	NOUN
ap-1751	159	9	1.1	1.1	NUM
ap-1751	159	10	the	the	DET
ap-1751	159	11	non	non	ADJ
ap-1751	159	12	-	-	ADJ
ap-1751	159	13	dimensional	dimensional	ADJ
ap-1751	159	14	form	form	NOUN
ap-1751	159	15	2	2	NUM
ap-1751	159	16	numerical	numerical	ADJ
ap-1751	159	17	solution	solution	NOUN
ap-1751	159	18	2.1	2.1	NUM
ap-1751	159	19	principle	principle	NOUN
ap-1751	159	20	of	of	ADP
ap-1751	159	21	the	the	DET
ap-1751	159	22	algorithm	algorithm	NOUN
ap-1751	159	23	fundamentals	fundamental	VERB
ap-1751	159	24	2.2	2.2	NUM
ap-1751	159	25	example	example	NOUN
ap-1751	159	26	of	of	ADP
ap-1751	159	27	the	the	DET
ap-1751	159	28	solution	solution	NOUN
ap-1751	159	29	3	3	NUM
ap-1751	159	30	pigr	pigr	NOUN
ap-1751	159	31	dependence	dependence	NOUN
ap-1751	159	32	on	on	ADP
ap-1751	159	33	various	various	ADJ
ap-1751	159	34	input	input	NOUN
ap-1751	159	35	parameters	parameter	NOUN
ap-1751	159	36	3.1	3.1	NUM
ap-1751	159	37	dependence	dependence	NOUN
ap-1751	159	38	on	on	ADP
ap-1751	159	39	cyclotron	cyclotron	NOUN
ap-1751	159	40	frequencies	frequency	NOUN
ap-1751	159	41	3.1.1	3.1.1	NUM
ap-1751	159	42	results	result	NOUN
ap-1751	159	43	for	for	ADP
ap-1751	159	44	bold0mu	bold0mu	PROPN
ap-1751	159	45	mumu	mumu	NOUN
ap-1751	159	46	c1c12c1c1c1c1	c1c12c1c1c1c1	VERB
ap-1751	159	47	3.1.2	3.1.2	NUM
ap-1751	159	48	results	result	NOUN
ap-1751	159	49	for	for	ADP
ap-1751	159	50	bold0mu	bold0mu	PROPN
ap-1751	159	51	mumu	mumu	PROPN
ap-1751	159	52	c2c22c2c2c2c2	c2c22c2c2c2c2	NOUN
ap-1751	159	53	3.2	3.2	NUM
ap-1751	159	54	dependence	dependence	NOUN
ap-1751	159	55	on	on	ADP
ap-1751	159	56	sound	sound	ADJ
ap-1751	159	57	velocities	velocity	NOUN
ap-1751	159	58	3.2.1	3.2.1	NUM
ap-1751	159	59	results	result	NOUN
ap-1751	159	60	for	for	ADP
ap-1751	159	61	bold0mu	bold0mu	PROPN
ap-1751	159	62	mumu	mumu	PROPN
ap-1751	159	63	cs1cs12cs1cs1cs1cs1	cs1cs12cs1cs1cs1cs1	NOUN
ap-1751	159	64	3.2.2	3.2.2	NUM
ap-1751	159	65	results	result	NOUN
ap-1751	159	66	for	for	ADP
ap-1751	159	67	bold0mu	bold0mu	PROPN
ap-1751	159	68	mumu	mumu	NOUN
ap-1751	159	69	cs2cs22cs2cs2cs2cs2	cs2cs22cs2cs2cs2cs2	ADJ
ap-1751	159	70	3.3	3.3	NUM
ap-1751	159	71	results	result	NOUN
ap-1751	159	72	overview	overview	VERB
ap-1751	159	73	4	4	NUM
ap-1751	159	74	conclusions	conclusion	NOUN
ap-1751	159	75	and	and	CCONJ
ap-1751	159	76	future	future	ADJ
ap-1751	159	77	work	work	NOUN
ap-1751	159	78	acknowledgements	acknowledgement	NOUN
ap-1751	159	79	references	reference	NOUN