id	sid	tid	token	lemma	pos
fuelectenerg-5933	1	1	facta	facta	PROPN
fuelectenerg-5933	1	2	universitatis	universitatis	PROPN
fuelectenerg-5933	1	3	series	series	NOUN
fuelectenerg-5933	1	4	:	:	PUNCT
fuelectenerg-5933	1	5	electronics	electronic	NOUN
fuelectenerg-5933	1	6	and	and	CCONJ
fuelectenerg-5933	1	7	energetics	energetics	NOUN
fuelectenerg-5933	1	8	vol	vol	NOUN
fuelectenerg-5933	1	9	.	.	PUNCT
fuelectenerg-5933	2	1	33	33	NUM
fuelectenerg-5933	2	2	,	,	PUNCT
fuelectenerg-5933	2	3	no	no	DET
fuelectenerg-5933	2	4	4	4	NUM
fuelectenerg-5933	2	5	,	,	PUNCT
fuelectenerg-5933	2	6	december	december	PROPN
fuelectenerg-5933	2	7	2020	2020	NUM
fuelectenerg-5933	2	8	,	,	PUNCT
fuelectenerg-5933	2	9	pp	pp	ADV
fuelectenerg-5933	2	10	.	.	PUNCT
fuelectenerg-5933	3	1	531	531	NUM
fuelectenerg-5933	3	2	-	-	SYM
fuelectenerg-5933	3	3	551	551	NUM
fuelectenerg-5933	3	4	https://doi.org/10.2298/fuee2004531i	https://doi.org/10.2298/fuee2004531i	NOUN
fuelectenerg-5933	3	5	©	©	PROPN
fuelectenerg-5933	3	6	2020	2020	NUM
fuelectenerg-5933	3	7	by	by	ADP
fuelectenerg-5933	3	8	university	university	PROPN
fuelectenerg-5933	3	9	of	of	ADP
fuelectenerg-5933	3	10	niš	niš	PROPN
fuelectenerg-5933	3	11	,	,	PUNCT
fuelectenerg-5933	3	12	serbia	serbia	PROPN
fuelectenerg-5933	3	13	|	|	ADV
fuelectenerg-5933	3	14	creative	creative	ADJ
fuelectenerg-5933	3	15	commons	common	NOUN
fuelectenerg-5933	3	16	license	license	NOUN
fuelectenerg-5933	3	17	:	:	PUNCT
fuelectenerg-5933	3	18	cc	cc	VERB
fuelectenerg-5933	3	19	by	by	ADP
fuelectenerg-5933	3	20	-	-	PUNCT
fuelectenerg-5933	3	21	nc	nc	VERB
fuelectenerg-5933	3	22	-	-	PUNCT
fuelectenerg-5933	3	23	nd	nd	ADV
fuelectenerg-5933	3	24	higher	high	ADJ
fuelectenerg-5933	3	25	-	-	PUNCT
fuelectenerg-5933	3	26	order	order	NOUN
fuelectenerg-5933	3	27	structural	structural	ADJ
fuelectenerg-5933	3	28	constraints	constraint	NOUN
fuelectenerg-5933	3	29	for	for	ADP
fuelectenerg-5933	3	30	improved	improved	ADJ
fuelectenerg-5933	3	31	optimization	optimization	NOUN
fuelectenerg-5933	3	32	of	of	ADP
fuelectenerg-5933	3	33	nonuniform	nonuniform	ADJ
fuelectenerg-5933	3	34	helical	helical	ADJ
fuelectenerg-5933	3	35	antennas	antenna	NOUN
fuelectenerg-5933	3	36	graeme	graeme	PROPN
fuelectenerg-5933	3	37	e.	e.	PROPN
fuelectenerg-5933	3	38	innes	innes	PROPN
fuelectenerg-5933	3	39	private	private	ADJ
fuelectenerg-5933	3	40	researcher	researcher	NOUN
fuelectenerg-5933	3	41	,	,	PUNCT
fuelectenerg-5933	3	42	milton	milton	PROPN
fuelectenerg-5933	3	43	,	,	PUNCT
fuelectenerg-5933	3	44	ontario	ontario	PROPN
fuelectenerg-5933	3	45	,	,	PUNCT
fuelectenerg-5933	3	46	canada	canada	PROPN
fuelectenerg-5933	3	47	abstract	abstract	PROPN
fuelectenerg-5933	3	48	.	.	PUNCT
fuelectenerg-5933	4	1	the	the	DET
fuelectenerg-5933	4	2	objective	objective	NOUN
fuelectenerg-5933	4	3	is	be	AUX
fuelectenerg-5933	4	4	to	to	PART
fuelectenerg-5933	4	5	improve	improve	VERB
fuelectenerg-5933	4	6	the	the	DET
fuelectenerg-5933	4	7	linear	linear	ADJ
fuelectenerg-5933	4	8	constraints	constraint	NOUN
fuelectenerg-5933	4	9	for	for	ADP
fuelectenerg-5933	4	10	optimizing	optimize	VERB
fuelectenerg-5933	4	11	the	the	DET
fuelectenerg-5933	4	12	helical	helical	ADJ
fuelectenerg-5933	4	13	structure	structure	NOUN
fuelectenerg-5933	4	14	(	(	PUNCT
fuelectenerg-5933	4	15	radius	radius	NOUN
fuelectenerg-5933	4	16	and	and	CCONJ
fuelectenerg-5933	4	17	pitch	pitch	NOUN
fuelectenerg-5933	4	18	of	of	ADP
fuelectenerg-5933	4	19	the	the	DET
fuelectenerg-5933	4	20	conductor	conductor	NOUN
fuelectenerg-5933	4	21	winding	wind	VERB
fuelectenerg-5933	4	22	)	)	PUNCT
fuelectenerg-5933	4	23	of	of	ADP
fuelectenerg-5933	4	24	nonuniform	nonuniform	ADJ
fuelectenerg-5933	4	25	helical	helical	ADJ
fuelectenerg-5933	4	26	antennas	antenna	NOUN
fuelectenerg-5933	4	27	for	for	ADP
fuelectenerg-5933	4	28	desired	desire	VERB
fuelectenerg-5933	4	29	characteristics	characteristic	NOUN
fuelectenerg-5933	4	30	such	such	ADJ
fuelectenerg-5933	4	31	as	as	ADP
fuelectenerg-5933	4	32	signal	signal	ADJ
fuelectenerg-5933	4	33	gain	gain	NOUN
fuelectenerg-5933	4	34	or	or	CCONJ
fuelectenerg-5933	4	35	bandwidth	bandwidth	NOUN
fuelectenerg-5933	4	36	.	.	PUNCT
fuelectenerg-5933	5	1	presented	present	VERB
fuelectenerg-5933	5	2	below	below	ADV
fuelectenerg-5933	5	3	are	be	AUX
fuelectenerg-5933	5	4	equations	equation	NOUN
fuelectenerg-5933	5	5	that	that	PRON
fuelectenerg-5933	5	6	allow	allow	VERB
fuelectenerg-5933	5	7	various	various	ADJ
fuelectenerg-5933	5	8	higher	high	ADJ
fuelectenerg-5933	5	9	-	-	PUNCT
fuelectenerg-5933	5	10	order	order	NOUN
fuelectenerg-5933	5	11	structural	structural	ADJ
fuelectenerg-5933	5	12	constraints	constraint	NOUN
fuelectenerg-5933	5	13	to	to	PART
fuelectenerg-5933	5	14	be	be	AUX
fuelectenerg-5933	5	15	used	use	VERB
fuelectenerg-5933	5	16	in	in	ADP
fuelectenerg-5933	5	17	such	such	ADJ
fuelectenerg-5933	5	18	optimizations	optimization	NOUN
fuelectenerg-5933	5	19	.	.	PUNCT
fuelectenerg-5933	6	1	their	their	PRON
fuelectenerg-5933	6	2	efficacy	efficacy	NOUN
fuelectenerg-5933	6	3	is	be	AUX
fuelectenerg-5933	6	4	demonstrated	demonstrate	VERB
fuelectenerg-5933	6	5	by	by	ADP
fuelectenerg-5933	6	6	analogy	analogy	NOUN
fuelectenerg-5933	6	7	,	,	PUNCT
fuelectenerg-5933	6	8	using	use	VERB
fuelectenerg-5933	6	9	data	datum	NOUN
fuelectenerg-5933	6	10	for	for	ADP
fuelectenerg-5933	6	11	a	a	DET
fuelectenerg-5933	6	12	fully	fully	ADV
fuelectenerg-5933	6	13	optimized	optimize	VERB
fuelectenerg-5933	6	14	yagi	yagi	ADJ
fuelectenerg-5933	6	15	-	-	PUNCT
fuelectenerg-5933	6	16	uda	uda	NOUN
fuelectenerg-5933	6	17	antenna	antenna	NOUN
fuelectenerg-5933	6	18	,	,	PUNCT
fuelectenerg-5933	6	19	before	before	ADP
fuelectenerg-5933	6	20	being	be	AUX
fuelectenerg-5933	6	21	applied	apply	VERB
fuelectenerg-5933	6	22	to	to	ADP
fuelectenerg-5933	6	23	data	datum	NOUN
fuelectenerg-5933	6	24	available	available	ADJ
fuelectenerg-5933	6	25	for	for	ADP
fuelectenerg-5933	6	26	helical	helical	ADJ
fuelectenerg-5933	6	27	designs	design	NOUN
fuelectenerg-5933	6	28	.	.	PUNCT
fuelectenerg-5933	7	1	the	the	DET
fuelectenerg-5933	7	2	comparisons	comparison	NOUN
fuelectenerg-5933	7	3	confirm	confirm	VERB
fuelectenerg-5933	7	4	the	the	DET
fuelectenerg-5933	7	5	general	general	ADJ
fuelectenerg-5933	7	6	validity	validity	NOUN
fuelectenerg-5933	7	7	of	of	ADP
fuelectenerg-5933	7	8	the	the	DET
fuelectenerg-5933	7	9	higher	high	ADJ
fuelectenerg-5933	7	10	-	-	PUNCT
fuelectenerg-5933	7	11	order	order	NOUN
fuelectenerg-5933	7	12	equations	equation	NOUN
fuelectenerg-5933	7	13	to	to	PART
fuelectenerg-5933	7	14	model	model	VERB
fuelectenerg-5933	7	15	some	some	PRON
fuelectenerg-5933	7	16	of	of	ADP
fuelectenerg-5933	7	17	the	the	DET
fuelectenerg-5933	7	18	most	most	ADV
fuelectenerg-5933	7	19	advanced	advanced	ADJ
fuelectenerg-5933	7	20	antennas	antenna	NOUN
fuelectenerg-5933	7	21	produced	produce	VERB
fuelectenerg-5933	7	22	to	to	ADP
fuelectenerg-5933	7	23	date	date	NOUN
fuelectenerg-5933	7	24	.	.	PUNCT
fuelectenerg-5933	8	1	a	a	DET
fuelectenerg-5933	8	2	simple	simple	ADJ
fuelectenerg-5933	8	3	calculus	calculus	NOUN
fuelectenerg-5933	8	4	-	-	PUNCT
fuelectenerg-5933	8	5	of	of	ADP
fuelectenerg-5933	8	6	-	-	PUNCT
fuelectenerg-5933	8	7	variations	variation	NOUN
fuelectenerg-5933	8	8	test	test	NOUN
fuelectenerg-5933	8	9	confirms	confirm	VERB
fuelectenerg-5933	8	10	that	that	SCONJ
fuelectenerg-5933	8	11	an	an	DET
fuelectenerg-5933	8	12	improved	improved	ADJ
fuelectenerg-5933	8	13	optimization	optimization	NOUN
fuelectenerg-5933	8	14	is	be	AUX
fuelectenerg-5933	8	15	possible	possible	ADJ
fuelectenerg-5933	8	16	by	by	ADP
fuelectenerg-5933	8	17	adding	add	VERB
fuelectenerg-5933	8	18	curvature	curvature	NOUN
fuelectenerg-5933	8	19	terms	term	NOUN
fuelectenerg-5933	8	20	to	to	PART
fuelectenerg-5933	8	21	previously	previously	ADV
fuelectenerg-5933	8	22	published	publish	VERB
fuelectenerg-5933	8	23	linear	linear	ADJ
fuelectenerg-5933	8	24	constraints	constraint	NOUN
fuelectenerg-5933	8	25	.	.	PUNCT
fuelectenerg-5933	9	1	key	key	ADJ
fuelectenerg-5933	9	2	words	word	NOUN
fuelectenerg-5933	9	3	:	:	PUNCT
fuelectenerg-5933	9	4	curvature	curvature	NOUN
fuelectenerg-5933	9	5	,	,	PUNCT
fuelectenerg-5933	9	6	higher	high	ADJ
fuelectenerg-5933	9	7	-	-	PUNCT
fuelectenerg-5933	9	8	order	order	NOUN
fuelectenerg-5933	9	9	constraint	constraint	NOUN
fuelectenerg-5933	9	10	,	,	PUNCT
fuelectenerg-5933	9	11	improved	improved	ADJ
fuelectenerg-5933	9	12	optimization	optimization	NOUN
fuelectenerg-5933	9	13	,	,	PUNCT
fuelectenerg-5933	9	14	nonuniform	nonuniform	ADJ
fuelectenerg-5933	9	15	helical	helical	ADJ
fuelectenerg-5933	9	16	antenna	antenna	NOUN
fuelectenerg-5933	9	17	,	,	PUNCT
fuelectenerg-5933	9	18	simple	simple	ADJ
fuelectenerg-5933	9	19	test	test	NOUN
fuelectenerg-5933	9	20	,	,	PUNCT
fuelectenerg-5933	9	21	structural	structural	ADJ
fuelectenerg-5933	9	22	constraint	constraint	NOUN
fuelectenerg-5933	9	23	1	1	NUM
fuelectenerg-5933	9	24	.	.	PUNCT
fuelectenerg-5933	9	25	introduction	introduction	NOUN
fuelectenerg-5933	9	26	the	the	DET
fuelectenerg-5933	9	27	helical	helical	ADJ
fuelectenerg-5933	9	28	antenna	antenna	NOUN
fuelectenerg-5933	9	29	in	in	ADP
fuelectenerg-5933	9	30	its	its	PRON
fuelectenerg-5933	9	31	most	most	ADV
fuelectenerg-5933	9	32	basic	basic	ADJ
fuelectenerg-5933	9	33	configuration	configuration	NOUN
fuelectenerg-5933	9	34	consists	consist	VERB
fuelectenerg-5933	9	35	of	of	ADP
fuelectenerg-5933	9	36	a	a	DET
fuelectenerg-5933	9	37	single	single	ADJ
fuelectenerg-5933	9	38	wire	wire	NOUN
fuelectenerg-5933	9	39	coiled	coil	VERB
fuelectenerg-5933	9	40	into	into	ADP
fuelectenerg-5933	9	41	a	a	DET
fuelectenerg-5933	9	42	helix	helix	NOUN
fuelectenerg-5933	9	43	,	,	PUNCT
fuelectenerg-5933	9	44	mounted	mount	VERB
fuelectenerg-5933	9	45	with	with	ADP
fuelectenerg-5933	9	46	the	the	DET
fuelectenerg-5933	9	47	axis	axis	ADJ
fuelectenerg-5933	9	48	perpendicular	perpendicular	NOUN
fuelectenerg-5933	9	49	to	to	ADP
fuelectenerg-5933	9	50	a	a	DET
fuelectenerg-5933	9	51	nearby	nearby	ADJ
fuelectenerg-5933	9	52	conducting	conduct	VERB
fuelectenerg-5933	9	53	ground	ground	NOUN
fuelectenerg-5933	9	54	plane	plane	NOUN
fuelectenerg-5933	9	55	,	,	PUNCT
fuelectenerg-5933	9	56	fig	fig	NOUN
fuelectenerg-5933	9	57	.	.	PUNCT
fuelectenerg-5933	10	1	1	1	X
fuelectenerg-5933	10	2	.	.	X
fuelectenerg-5933	10	3	this	this	DET
fuelectenerg-5933	10	4	design	design	NOUN
fuelectenerg-5933	10	5	naturally	naturally	ADV
fuelectenerg-5933	10	6	produces	produce	VERB
fuelectenerg-5933	10	7	circularly	circularly	ADV
fuelectenerg-5933	10	8	polarized	polarize	VERB
fuelectenerg-5933	10	9	radiation	radiation	NOUN
fuelectenerg-5933	10	10	,	,	PUNCT
fuelectenerg-5933	10	11	which	which	PRON
fuelectenerg-5933	10	12	makes	make	VERB
fuelectenerg-5933	10	13	it	it	PRON
fuelectenerg-5933	10	14	useful	useful	ADJ
fuelectenerg-5933	10	15	in	in	ADP
fuelectenerg-5933	10	16	applications	application	NOUN
fuelectenerg-5933	10	17	with	with	ADP
fuelectenerg-5933	10	18	arbitrary	arbitrary	ADJ
fuelectenerg-5933	10	19	signal	signal	NOUN
fuelectenerg-5933	10	20	polarization	polarization	NOUN
fuelectenerg-5933	10	21	such	such	ADJ
fuelectenerg-5933	10	22	as	as	ADP
fuelectenerg-5933	10	23	for	for	ADP
fuelectenerg-5933	10	24	satellite	satellite	NOUN
fuelectenerg-5933	10	25	and	and	CCONJ
fuelectenerg-5933	10	26	space	space	NOUN
fuelectenerg-5933	10	27	communication	communication	NOUN
fuelectenerg-5933	10	28	.	.	PUNCT
fuelectenerg-5933	11	1	for	for	ADP
fuelectenerg-5933	11	2	the	the	DET
fuelectenerg-5933	11	3	first	first	ADJ
fuelectenerg-5933	11	4	three	three	NUM
fuelectenerg-5933	11	5	decades	decade	NOUN
fuelectenerg-5933	11	6	following	follow	VERB
fuelectenerg-5933	11	7	publication	publication	NOUN
fuelectenerg-5933	11	8	of	of	ADP
fuelectenerg-5933	11	9	the	the	DET
fuelectenerg-5933	11	10	earliest	early	ADJ
fuelectenerg-5933	11	11	study	study	NOUN
fuelectenerg-5933	11	12	in	in	ADP
fuelectenerg-5933	11	13	1947	1947	NUM
fuelectenerg-5933	11	14	,	,	PUNCT
fuelectenerg-5933	11	15	development	development	NOUN
fuelectenerg-5933	11	16	of	of	ADP
fuelectenerg-5933	11	17	the	the	DET
fuelectenerg-5933	11	18	helical	helical	ADJ
fuelectenerg-5933	11	19	antenna	antenna	NOUN
fuelectenerg-5933	11	20	relied	rely	VERB
fuelectenerg-5933	11	21	on	on	ADP
fuelectenerg-5933	11	22	empirical	empirical	ADJ
fuelectenerg-5933	11	23	methods	method	NOUN
fuelectenerg-5933	11	24	using	use	VERB
fuelectenerg-5933	11	25	physical	physical	ADJ
fuelectenerg-5933	11	26	prototypes	prototype	NOUN
fuelectenerg-5933	11	27	[	[	X
fuelectenerg-5933	11	28	1,2	1,2	NUM
fuelectenerg-5933	11	29	]	]	PUNCT
fuelectenerg-5933	11	30	.	.	PUNCT
fuelectenerg-5933	12	1	that	that	DET
fuelectenerg-5933	12	2	paradigm	paradigm	NOUN
fuelectenerg-5933	12	3	shifted	shift	VERB
fuelectenerg-5933	12	4	in	in	ADP
fuelectenerg-5933	12	5	the	the	DET
fuelectenerg-5933	12	6	1980	1980	NUM
fuelectenerg-5933	12	7	's	's	PART
fuelectenerg-5933	12	8	with	with	ADP
fuelectenerg-5933	12	9	the	the	DET
fuelectenerg-5933	12	10	emergence	emergence	NOUN
fuelectenerg-5933	12	11	of	of	ADP
fuelectenerg-5933	12	12	numerical	numerical	ADJ
fuelectenerg-5933	12	13	simulation	simulation	NOUN
fuelectenerg-5933	12	14	tools	tool	NOUN
fuelectenerg-5933	12	15	,	,	PUNCT
fuelectenerg-5933	12	16	such	such	ADJ
fuelectenerg-5933	12	17	as	as	ADP
fuelectenerg-5933	12	18	numerical	numerical	PROPN
fuelectenerg-5933	12	19	electromagnetics	electromagnetics	PROPN
fuelectenerg-5933	12	20	code	code	PROPN
fuelectenerg-5933	12	21	(	(	PUNCT
fuelectenerg-5933	12	22	nec	nec	PROPN
fuelectenerg-5933	12	23	)	)	PUNCT
fuelectenerg-5933	12	24	,	,	PUNCT
fuelectenerg-5933	12	25	wipl	wipl	PROPN
fuelectenerg-5933	12	26	-	-	PUNCT
fuelectenerg-5933	12	27	d	d	PROPN
fuelectenerg-5933	12	28	and	and	CCONJ
fuelectenerg-5933	12	29	matlab	matlab	PROPN
fuelectenerg-5933	12	30	®	®	NOUN
fuelectenerg-5933	12	31	[	[	X
fuelectenerg-5933	12	32	3	3	NUM
fuelectenerg-5933	12	33	-	-	SYM
fuelectenerg-5933	12	34	5	5	NUM
fuelectenerg-5933	12	35	]	]	PUNCT
fuelectenerg-5933	12	36	,	,	PUNCT
fuelectenerg-5933	12	37	that	that	PRON
fuelectenerg-5933	12	38	can	can	AUX
fuelectenerg-5933	12	39	solve	solve	VERB
fuelectenerg-5933	12	40	the	the	DET
fuelectenerg-5933	12	41	nonlinear	nonlinear	ADJ
fuelectenerg-5933	12	42	sets	set	NOUN
fuelectenerg-5933	12	43	of	of	ADP
fuelectenerg-5933	12	44	equations	equation	NOUN
fuelectenerg-5933	12	45	describing	describe	VERB
fuelectenerg-5933	12	46	antenna	antenna	NOUN
fuelectenerg-5933	12	47	operation	operation	NOUN
fuelectenerg-5933	12	48	.	.	PUNCT
fuelectenerg-5933	13	1	these	these	DET
fuelectenerg-5933	13	2	enable	enable	ADJ
fuelectenerg-5933	13	3	evaluation	evaluation	NOUN
fuelectenerg-5933	13	4	and	and	CCONJ
fuelectenerg-5933	13	5	improvement	improvement	NOUN
fuelectenerg-5933	13	6	of	of	ADP
fuelectenerg-5933	13	7	a	a	DET
fuelectenerg-5933	13	8	design	design	NOUN
fuelectenerg-5933	13	9	before	before	ADP
fuelectenerg-5933	13	10	constructing	construct	VERB
fuelectenerg-5933	13	11	the	the	DET
fuelectenerg-5933	13	12	physical	physical	ADJ
fuelectenerg-5933	13	13	antenna	antenna	NOUN
fuelectenerg-5933	13	14	.	.	PUNCT
fuelectenerg-5933	14	1	by	by	ADP
fuelectenerg-5933	14	2	the	the	DET
fuelectenerg-5933	14	3	1990	1990	NUM
fuelectenerg-5933	14	4	's	's	PART
fuelectenerg-5933	14	5	,	,	PUNCT
fuelectenerg-5933	14	6	numerical	numerical	ADJ
fuelectenerg-5933	14	7	optimization	optimization	NOUN
fuelectenerg-5933	14	8	for	for	ADP
fuelectenerg-5933	14	9	characteristics	characteristic	NOUN
fuelectenerg-5933	14	10	such	such	ADJ
fuelectenerg-5933	14	11	as	as	ADP
fuelectenerg-5933	14	12	gain	gain	NOUN
fuelectenerg-5933	14	13	or	or	CCONJ
fuelectenerg-5933	14	14	bandwidth	bandwidth	NOUN
fuelectenerg-5933	14	15	was	be	AUX
fuelectenerg-5933	14	16	routinely	routinely	ADV
fuelectenerg-5933	14	17	carried	carry	VERB
fuelectenerg-5933	14	18	out	out	ADP
fuelectenerg-5933	14	19	for	for	ADP
fuelectenerg-5933	14	20	some	some	DET
fuelectenerg-5933	14	21	antenna	antenna	NOUN
fuelectenerg-5933	14	22	types	type	NOUN
fuelectenerg-5933	14	23	,	,	PUNCT
fuelectenerg-5933	14	24	such	such	ADJ
fuelectenerg-5933	14	25	as	as	ADP
fuelectenerg-5933	14	26	the	the	DET
fuelectenerg-5933	14	27	well	well	ADV
fuelectenerg-5933	14	28	-	-	PUNCT
fuelectenerg-5933	14	29	known	know	VERB
fuelectenerg-5933	14	30	yagi	yagi	ADJ
fuelectenerg-5933	14	31	-	-	PUNCT
fuelectenerg-5933	14	32	uda	uda	NOUN
fuelectenerg-5933	14	33	design	design	NOUN
fuelectenerg-5933	14	34	[	[	X
fuelectenerg-5933	14	35	6,7	6,7	NUM
fuelectenerg-5933	14	36	]	]	PUNCT
fuelectenerg-5933	14	37	.	.	PUNCT
fuelectenerg-5933	15	1	it	it	PRON
fuelectenerg-5933	15	2	was	be	AUX
fuelectenerg-5933	15	3	not	not	PART
fuelectenerg-5933	15	4	until	until	ADP
fuelectenerg-5933	15	5	a	a	DET
fuelectenerg-5933	15	6	decade	decade	NOUN
fuelectenerg-5933	15	7	later	later	ADV
fuelectenerg-5933	15	8	that	that	SCONJ
fuelectenerg-5933	15	9	computing	computing	NOUN
fuelectenerg-5933	15	10	resources	resource	NOUN
fuelectenerg-5933	15	11	were	be	AUX
fuelectenerg-5933	15	12	equal	equal	ADJ
fuelectenerg-5933	15	13	to	to	ADP
fuelectenerg-5933	15	14	the	the	DET
fuelectenerg-5933	15	15	received	receive	VERB
fuelectenerg-5933	15	16	december	december	PROPN
fuelectenerg-5933	15	17	5	5	NUM
fuelectenerg-5933	15	18	,	,	PUNCT
fuelectenerg-5933	15	19	2019	2019	NUM
fuelectenerg-5933	15	20	;	;	PUNCT
fuelectenerg-5933	15	21	received	receive	VERB
fuelectenerg-5933	15	22	in	in	ADP
fuelectenerg-5933	15	23	revised	revise	VERB
fuelectenerg-5933	15	24	form	form	NOUN
fuelectenerg-5933	15	25	july	july	PROPN
fuelectenerg-5933	15	26	2	2	NUM
fuelectenerg-5933	15	27	,	,	PUNCT
fuelectenerg-5933	15	28	2020	2020	NUM
fuelectenerg-5933	15	29	corresponding	correspond	VERB
fuelectenerg-5933	15	30	author	author	NOUN
fuelectenerg-5933	15	31	:	:	PUNCT
fuelectenerg-5933	15	32	graeme	graeme	PROPN
fuelectenerg-5933	15	33	e.	e.	PROPN
fuelectenerg-5933	15	34	innes	innes	PROPN
fuelectenerg-5933	15	35	milton	milton	PROPN
fuelectenerg-5933	15	36	,	,	PUNCT
fuelectenerg-5933	15	37	ontario	ontario	PROPN
fuelectenerg-5933	15	38	,	,	PUNCT
fuelectenerg-5933	15	39	canada	canada	PROPN
fuelectenerg-5933	15	40	e	e	PROPN
fuelectenerg-5933	15	41	-	-	NOUN
fuelectenerg-5933	15	42	mail	mail	NOUN
fuelectenerg-5933	15	43	:	:	PUNCT
fuelectenerg-5933	16	1	ginnes88@gmail.com	ginnes88@gmail.com	X
fuelectenerg-5933	16	2	532	532	NUM
fuelectenerg-5933	16	3	g.	g.	PROPN
fuelectenerg-5933	16	4	e.	e.	PROPN
fuelectenerg-5933	16	5	innes	innes	PROPN
fuelectenerg-5933	16	6	task	task	PROPN
fuelectenerg-5933	16	7	of	of	ADP
fuelectenerg-5933	16	8	handling	handle	VERB
fuelectenerg-5933	16	9	the	the	DET
fuelectenerg-5933	16	10	complexities	complexity	NOUN
fuelectenerg-5933	16	11	involved	involve	VERB
fuelectenerg-5933	16	12	with	with	ADP
fuelectenerg-5933	16	13	optimizing	optimize	VERB
fuelectenerg-5933	16	14	the	the	DET
fuelectenerg-5933	16	15	most	most	ADV
fuelectenerg-5933	16	16	basic	basic	ADJ
fuelectenerg-5933	16	17	helical	helical	ADJ
fuelectenerg-5933	16	18	antenna	antenna	NOUN
fuelectenerg-5933	16	19	.	.	PUNCT
fuelectenerg-5933	17	1	the	the	DET
fuelectenerg-5933	17	2	first	first	ADJ
fuelectenerg-5933	17	3	such	such	ADJ
fuelectenerg-5933	17	4	study	study	NOUN
fuelectenerg-5933	17	5	for	for	ADP
fuelectenerg-5933	17	6	helices	helix	NOUN
fuelectenerg-5933	17	7	with	with	ADP
fuelectenerg-5933	17	8	an	an	DET
fuelectenerg-5933	17	9	infinite	infinite	ADJ
fuelectenerg-5933	17	10	ground	ground	NOUN
fuelectenerg-5933	17	11	plane	plane	NOUN
fuelectenerg-5933	17	12	and	and	CCONJ
fuelectenerg-5933	17	13	single	single	ADJ
fuelectenerg-5933	17	14	copper	copper	NOUN
fuelectenerg-5933	17	15	winding	winding	NOUN
fuelectenerg-5933	17	16	of	of	ADP
fuelectenerg-5933	17	17	constant	constant	ADJ
fuelectenerg-5933	17	18	radius	radius	NOUN
fuelectenerg-5933	17	19	r	r	NOUN
fuelectenerg-5933	17	20	and	and	CCONJ
fuelectenerg-5933	17	21	pitch	pitch	NOUN
fuelectenerg-5933	17	22	p	p	NOUN
fuelectenerg-5933	17	23	was	be	AUX
fuelectenerg-5933	17	24	published	publish	VERB
fuelectenerg-5933	17	25	in	in	ADP
fuelectenerg-5933	17	26	2006	2006	NUM
fuelectenerg-5933	17	27	[	[	X
fuelectenerg-5933	17	28	8	8	NUM
fuelectenerg-5933	17	29	]	]	PUNCT
fuelectenerg-5933	17	30	.	.	PUNCT
fuelectenerg-5933	18	1	the	the	DET
fuelectenerg-5933	18	2	study	study	NOUN
fuelectenerg-5933	18	3	considered	consider	VERB
fuelectenerg-5933	18	4	various	various	ADJ
fuelectenerg-5933	18	5	antenna	antenna	NOUN
fuelectenerg-5933	18	6	lengths	length	NOUN
fuelectenerg-5933	18	7	and	and	CCONJ
fuelectenerg-5933	18	8	several	several	ADJ
fuelectenerg-5933	18	9	wire	wire	NOUN
fuelectenerg-5933	18	10	sizes	size	NOUN
fuelectenerg-5933	18	11	wound	wound	VERB
fuelectenerg-5933	18	12	in	in	ADP
fuelectenerg-5933	18	13	a	a	DET
fuelectenerg-5933	18	14	hexagonal	hexagonal	ADJ
fuelectenerg-5933	18	15	helix	helix	ADJ
fuelectenerg-5933	18	16	formation	formation	NOUN
fuelectenerg-5933	18	17	,	,	PUNCT
fuelectenerg-5933	18	18	which	which	PRON
fuelectenerg-5933	18	19	is	be	AUX
fuelectenerg-5933	18	20	amenable	amenable	ADJ
fuelectenerg-5933	18	21	to	to	ADP
fuelectenerg-5933	18	22	software	software	NOUN
fuelectenerg-5933	18	23	modelling	model	VERB
fuelectenerg-5933	18	24	the	the	DET
fuelectenerg-5933	18	25	conductor	conductor	NOUN
fuelectenerg-5933	18	26	as	as	ADP
fuelectenerg-5933	18	27	a	a	DET
fuelectenerg-5933	18	28	series	series	NOUN
fuelectenerg-5933	18	29	of	of	ADP
fuelectenerg-5933	18	30	linear	linear	ADJ
fuelectenerg-5933	18	31	segments	segment	NOUN
fuelectenerg-5933	18	32	.	.	PUNCT
fuelectenerg-5933	19	1	yet	yet	ADV
fuelectenerg-5933	19	2	one	one	NUM
fuelectenerg-5933	19	3	more	more	ADJ
fuelectenerg-5933	19	4	decade	decade	NOUN
fuelectenerg-5933	19	5	passed	pass	VERB
fuelectenerg-5933	19	6	before	before	SCONJ
fuelectenerg-5933	19	7	adequate	adequate	ADJ
fuelectenerg-5933	19	8	computing	compute	VERB
fuelectenerg-5933	19	9	resources	resource	NOUN
fuelectenerg-5933	19	10	became	become	VERB
fuelectenerg-5933	19	11	available	available	ADJ
fuelectenerg-5933	19	12	to	to	PART
fuelectenerg-5933	19	13	enable	enable	VERB
fuelectenerg-5933	19	14	landmark	landmark	NOUN
fuelectenerg-5933	19	15	studies	study	NOUN
fuelectenerg-5933	19	16	of	of	ADP
fuelectenerg-5933	19	17	nonuniform	nonuniform	ADJ
fuelectenerg-5933	19	18	helical	helical	ADJ
fuelectenerg-5933	19	19	antennas	antenna	NOUN
fuelectenerg-5933	19	20	with	with	ADP
fuelectenerg-5933	19	21	various	various	ADJ
fuelectenerg-5933	19	22	wire	wire	NOUN
fuelectenerg-5933	19	23	properties	property	NOUN
fuelectenerg-5933	19	24	.	.	PUNCT
fuelectenerg-5933	20	1	two	two	NUM
fuelectenerg-5933	20	2	exhaustive	exhaustive	ADJ
fuelectenerg-5933	20	3	global	global	ADJ
fuelectenerg-5933	20	4	optimizations	optimization	NOUN
fuelectenerg-5933	20	5	of	of	ADP
fuelectenerg-5933	20	6	a	a	DET
fuelectenerg-5933	20	7	2x2	2x2	NUM
fuelectenerg-5933	20	8	array	array	NOUN
fuelectenerg-5933	20	9	of	of	ADP
fuelectenerg-5933	20	10	such	such	ADJ
fuelectenerg-5933	20	11	antennas	antenna	NOUN
fuelectenerg-5933	20	12	were	be	AUX
fuelectenerg-5933	20	13	carried	carry	VERB
fuelectenerg-5933	20	14	out	out	ADP
fuelectenerg-5933	20	15	by	by	ADP
fuelectenerg-5933	20	16	[	[	X
fuelectenerg-5933	20	17	9	9	NUM
fuelectenerg-5933	20	18	]	]	PUNCT
fuelectenerg-5933	20	19	with	with	ADP
fuelectenerg-5933	20	20	the	the	DET
fuelectenerg-5933	20	21	constraints	constraint	NOUN
fuelectenerg-5933	20	22	of	of	ADP
fuelectenerg-5933	20	23	linearly	linearly	ADV
fuelectenerg-5933	20	24	varying	vary	VERB
fuelectenerg-5933	20	25	helix	helix	ADJ
fuelectenerg-5933	20	26	radius	radius	NOUN
fuelectenerg-5933	20	27	r	r	NOUN
fuelectenerg-5933	20	28	and	and	CCONJ
fuelectenerg-5933	20	29	helix	helix	ADJ
fuelectenerg-5933	20	30	pitch	pitch	NOUN
fuelectenerg-5933	20	31	p	p	NOUN
fuelectenerg-5933	20	32	with	with	ADP
fuelectenerg-5933	20	33	respect	respect	NOUN
fuelectenerg-5933	20	34	to	to	ADP
fuelectenerg-5933	20	35	the	the	DET
fuelectenerg-5933	20	36	axial	axial	ADJ
fuelectenerg-5933	20	37	distance	distance	NOUN
fuelectenerg-5933	20	38	z.	z.	PROPN
fuelectenerg-5933	21	1	in	in	ADP
fuelectenerg-5933	21	2	this	this	DET
fuelectenerg-5933	21	3	case	case	NOUN
fuelectenerg-5933	21	4	,	,	PUNCT
fuelectenerg-5933	21	5	the	the	DET
fuelectenerg-5933	21	6	number	number	NOUN
fuelectenerg-5933	21	7	of	of	ADP
fuelectenerg-5933	21	8	variables	variable	NOUN
fuelectenerg-5933	21	9	to	to	PART
fuelectenerg-5933	21	10	be	be	AUX
fuelectenerg-5933	21	11	optimized	optimize	VERB
fuelectenerg-5933	21	12	for	for	ADP
fuelectenerg-5933	21	13	a	a	DET
fuelectenerg-5933	21	14	single	single	ADJ
fuelectenerg-5933	21	15	helical	helical	ADJ
fuelectenerg-5933	21	16	antenna	antenna	NOUN
fuelectenerg-5933	21	17	is	be	AUX
fuelectenerg-5933	21	18	4	4	NUM
fuelectenerg-5933	21	19	,	,	PUNCT
fuelectenerg-5933	21	20	consisting	consist	VERB
fuelectenerg-5933	21	21	of	of	ADP
fuelectenerg-5933	21	22	r1	r1	NOUN
fuelectenerg-5933	21	23	and	and	CCONJ
fuelectenerg-5933	21	24	p1	p1	NOUN
fuelectenerg-5933	21	25	at	at	ADP
fuelectenerg-5933	21	26	the	the	DET
fuelectenerg-5933	21	27	helix	helix	ADJ
fuelectenerg-5933	21	28	base	base	NOUN
fuelectenerg-5933	21	29	(	(	PUNCT
fuelectenerg-5933	21	30	z	z	NOUN
fuelectenerg-5933	21	31	=	=	SYM
fuelectenerg-5933	21	32	0	0	NUM
fuelectenerg-5933	21	33	)	)	PUNCT
fuelectenerg-5933	21	34	and	and	CCONJ
fuelectenerg-5933	21	35	r2	r2	PROPN
fuelectenerg-5933	21	36	and	and	CCONJ
fuelectenerg-5933	21	37	p2	p2	PROPN
fuelectenerg-5933	21	38	at	at	ADP
fuelectenerg-5933	21	39	the	the	DET
fuelectenerg-5933	21	40	top	top	NOUN
fuelectenerg-5933	21	41	(	(	PUNCT
fuelectenerg-5933	21	42	z	z	NOUN
fuelectenerg-5933	21	43	=	=	SYM
fuelectenerg-5933	21	44	l	l	NOUN
fuelectenerg-5933	21	45	)	)	PUNCT
fuelectenerg-5933	21	46	,	,	PUNCT
fuelectenerg-5933	21	47	fig	fig	NOUN
fuelectenerg-5933	21	48	.	.	PUNCT
fuelectenerg-5933	22	1	2	2	X
fuelectenerg-5933	22	2	.	.	X
fuelectenerg-5933	22	3	the	the	DET
fuelectenerg-5933	22	4	imposed	impose	VERB
fuelectenerg-5933	22	5	linear	linear	NOUN
fuelectenerg-5933	22	6	form	form	NOUN
fuelectenerg-5933	22	7	leads	lead	VERB
fuelectenerg-5933	22	8	to	to	ADP
fuelectenerg-5933	22	9	a	a	DET
fuelectenerg-5933	22	10	single	single	ADJ
fuelectenerg-5933	22	11	-	-	PUNCT
fuelectenerg-5933	22	12	exponential	exponential	NOUN
fuelectenerg-5933	22	13	relation	relation	NOUN
fuelectenerg-5933	22	14	for	for	ADP
fuelectenerg-5933	22	15	the	the	DET
fuelectenerg-5933	22	16	location	location	NOUN
fuelectenerg-5933	22	17	z	z	NOUN
fuelectenerg-5933	22	18	at	at	ADP
fuelectenerg-5933	22	19	each	each	DET
fuelectenerg-5933	22	20	turn	turn	NOUN
fuelectenerg-5933	22	21	of	of	ADP
fuelectenerg-5933	22	22	the	the	DET
fuelectenerg-5933	22	23	helix	helix	ADJ
fuelectenerg-5933	22	24	n.	n.	NOUN
fuelectenerg-5933	22	25	the	the	DET
fuelectenerg-5933	22	26	antenna	antenna	NOUN
fuelectenerg-5933	22	27	length	length	NOUN
fuelectenerg-5933	22	28	was	be	AUX
fuelectenerg-5933	22	29	fixed	fix	VERB
fuelectenerg-5933	22	30	at	at	ADP
fuelectenerg-5933	22	31	l	l	NOUN
fuelectenerg-5933	23	1	=	=	SYM
fuelectenerg-5933	23	2	2.5λ	2.5λ	NUM
fuelectenerg-5933	23	3	,	,	PUNCT
fuelectenerg-5933	23	4	where	where	SCONJ
fuelectenerg-5933	23	5	λ	λ	PROPN
fuelectenerg-5933	23	6	is	be	AUX
fuelectenerg-5933	23	7	the	the	DET
fuelectenerg-5933	23	8	wavelength	wavelength	NOUN
fuelectenerg-5933	23	9	of	of	ADP
fuelectenerg-5933	23	10	the	the	DET
fuelectenerg-5933	23	11	nominal	nominal	ADJ
fuelectenerg-5933	23	12	design	design	NOUN
fuelectenerg-5933	23	13	frequency	frequency	NOUN
fuelectenerg-5933	23	14	.	.	PUNCT
fuelectenerg-5933	24	1	a	a	DET
fuelectenerg-5933	24	2	subsequent	subsequent	ADJ
fuelectenerg-5933	24	3	large	large	ADJ
fuelectenerg-5933	24	4	-	-	PUNCT
fuelectenerg-5933	24	5	scale	scale	NOUN
fuelectenerg-5933	24	6	study	study	NOUN
fuelectenerg-5933	24	7	[	[	X
fuelectenerg-5933	24	8	10	10	NUM
fuelectenerg-5933	24	9	]	]	PUNCT
fuelectenerg-5933	24	10	considered	consider	VERB
fuelectenerg-5933	24	11	various	various	ADJ
fuelectenerg-5933	24	12	antenna	antenna	NOUN
fuelectenerg-5933	24	13	lengths	length	NOUN
fuelectenerg-5933	24	14	,	,	PUNCT
fuelectenerg-5933	24	15	along	along	ADP
fuelectenerg-5933	24	16	with	with	ADP
fuelectenerg-5933	24	17	different	different	ADJ
fuelectenerg-5933	24	18	wire	wire	NOUN
fuelectenerg-5933	24	19	conductivities	conductivity	NOUN
fuelectenerg-5933	24	20	and	and	CCONJ
fuelectenerg-5933	24	21	sizes	size	NOUN
fuelectenerg-5933	24	22	.	.	PUNCT
fuelectenerg-5933	25	1	by	by	ADP
fuelectenerg-5933	25	2	relaxing	relax	VERB
fuelectenerg-5933	25	3	the	the	DET
fuelectenerg-5933	25	4	linear	linear	ADJ
fuelectenerg-5933	25	5	constraints	constraint	NOUN
fuelectenerg-5933	25	6	to	to	PART
fuelectenerg-5933	25	7	allow	allow	VERB
fuelectenerg-5933	25	8	parabolic	parabolic	ADJ
fuelectenerg-5933	25	9	variation	variation	NOUN
fuelectenerg-5933	25	10	of	of	ADP
fuelectenerg-5933	25	11	r	r	NOUN
fuelectenerg-5933	25	12	and	and	CCONJ
fuelectenerg-5933	25	13	p	p	NOUN
fuelectenerg-5933	25	14	with	with	ADP
fuelectenerg-5933	25	15	respect	respect	NOUN
fuelectenerg-5933	25	16	to	to	ADP
fuelectenerg-5933	25	17	z	z	NOUN
fuelectenerg-5933	25	18	,	,	PUNCT
fuelectenerg-5933	25	19	a	a	DET
fuelectenerg-5933	25	20	double	double	ADJ
fuelectenerg-5933	25	21	-	-	PUNCT
fuelectenerg-5933	25	22	exponential	exponential	NOUN
fuelectenerg-5933	25	23	relation	relation	NOUN
fuelectenerg-5933	25	24	for	for	ADP
fuelectenerg-5933	25	25	z	z	NOUN
fuelectenerg-5933	25	26	in	in	ADP
fuelectenerg-5933	25	27	terms	term	NOUN
fuelectenerg-5933	25	28	of	of	ADP
fuelectenerg-5933	25	29	n	n	NOUN
fuelectenerg-5933	25	30	results	result	NOUN
fuelectenerg-5933	25	31	.	.	PUNCT
fuelectenerg-5933	26	1	by	by	ADP
fuelectenerg-5933	26	2	analogy	analogy	NOUN
fuelectenerg-5933	26	3	,	,	PUNCT
fuelectenerg-5933	26	4	this	this	PRON
fuelectenerg-5933	26	5	is	be	AUX
fuelectenerg-5933	26	6	shown	show	VERB
fuelectenerg-5933	26	7	to	to	PART
fuelectenerg-5933	26	8	yield	yield	VERB
fuelectenerg-5933	26	9	a	a	DET
fuelectenerg-5933	26	10	superior	superior	ADJ
fuelectenerg-5933	26	11	optimization	optimization	NOUN
fuelectenerg-5933	26	12	result	result	NOUN
fuelectenerg-5933	26	13	approaching	approach	VERB
fuelectenerg-5933	26	14	that	that	PRON
fuelectenerg-5933	26	15	already	already	ADV
fuelectenerg-5933	26	16	achieved	achieve	VERB
fuelectenerg-5933	26	17	for	for	ADP
fuelectenerg-5933	26	18	yagi	yagi	ADJ
fuelectenerg-5933	26	19	-	-	PUNCT
fuelectenerg-5933	26	20	uda	uda	NOUN
fuelectenerg-5933	26	21	antennas	antenna	NOUN
fuelectenerg-5933	26	22	,	,	PUNCT
fuelectenerg-5933	26	23	where	where	SCONJ
fuelectenerg-5933	26	24	data	datum	NOUN
fuelectenerg-5933	26	25	for	for	ADP
fuelectenerg-5933	26	26	element	element	NOUN
fuelectenerg-5933	26	27	-	-	PUNCT
fuelectenerg-5933	26	28	by	by	ADP
fuelectenerg-5933	26	29	-	-	PUNCT
fuelectenerg-5933	26	30	element	element	NOUN
fuelectenerg-5933	26	31	simulations	simulation	NOUN
fuelectenerg-5933	26	32	are	be	AUX
fuelectenerg-5933	26	33	readily	readily	ADV
fuelectenerg-5933	26	34	available	available	ADJ
fuelectenerg-5933	26	35	.	.	PUNCT
fuelectenerg-5933	27	1	the	the	DET
fuelectenerg-5933	27	2	equivalent	equivalent	ADJ
fuelectenerg-5933	27	3	feat	feat	NOUN
fuelectenerg-5933	27	4	in	in	ADP
fuelectenerg-5933	27	5	the	the	DET
fuelectenerg-5933	27	6	case	case	NOUN
fuelectenerg-5933	27	7	of	of	ADP
fuelectenerg-5933	27	8	a	a	DET
fuelectenerg-5933	27	9	helical	helical	ADJ
fuelectenerg-5933	27	10	antenna	antenna	NOUN
fuelectenerg-5933	27	11	would	would	AUX
fuelectenerg-5933	27	12	be	be	AUX
fuelectenerg-5933	27	13	a	a	DET
fuelectenerg-5933	27	14	turn	turn	VERB
fuelectenerg-5933	27	15	-	-	PUNCT
fuelectenerg-5933	27	16	by	by	ADP
fuelectenerg-5933	27	17	-	-	PUNCT
fuelectenerg-5933	27	18	turn	turn	NOUN
fuelectenerg-5933	27	19	optimization	optimization	NOUN
fuelectenerg-5933	27	20	,	,	PUNCT
fuelectenerg-5933	27	21	which	which	PRON
fuelectenerg-5933	27	22	currently	currently	ADV
fuelectenerg-5933	27	23	can	can	AUX
fuelectenerg-5933	27	24	be	be	AUX
fuelectenerg-5933	27	25	prohibitive	prohibitive	ADJ
fuelectenerg-5933	27	26	in	in	ADP
fuelectenerg-5933	27	27	terms	term	NOUN
fuelectenerg-5933	27	28	of	of	ADP
fuelectenerg-5933	27	29	computational	computational	ADJ
fuelectenerg-5933	27	30	effort	effort	NOUN
fuelectenerg-5933	27	31	.	.	PUNCT
fuelectenerg-5933	28	1	for	for	ADP
fuelectenerg-5933	28	2	a	a	DET
fuelectenerg-5933	28	3	single	single	ADJ
fuelectenerg-5933	28	4	helix	helix	NOUN
fuelectenerg-5933	28	5	,	,	PUNCT
fuelectenerg-5933	28	6	the	the	DET
fuelectenerg-5933	28	7	number	number	NOUN
fuelectenerg-5933	28	8	of	of	ADP
fuelectenerg-5933	28	9	variables	variable	NOUN
fuelectenerg-5933	28	10	to	to	PART
fuelectenerg-5933	28	11	be	be	AUX
fuelectenerg-5933	28	12	optimized	optimize	VERB
fuelectenerg-5933	28	13	would	would	AUX
fuelectenerg-5933	28	14	rise	rise	VERB
fuelectenerg-5933	28	15	dramatically	dramatically	ADV
fuelectenerg-5933	28	16	to	to	ADP
fuelectenerg-5933	28	17	2n	2n	NUM
fuelectenerg-5933	28	18	,	,	PUNCT
fuelectenerg-5933	28	19	where	where	SCONJ
fuelectenerg-5933	28	20	solutions	solution	NOUN
fuelectenerg-5933	28	21	of	of	ADP
fuelectenerg-5933	28	22	interest	interest	NOUN
fuelectenerg-5933	28	23	might	might	AUX
fuelectenerg-5933	28	24	lie	lie	VERB
fuelectenerg-5933	28	25	in	in	ADP
fuelectenerg-5933	28	26	the	the	DET
fuelectenerg-5933	28	27	range	range	NOUN
fuelectenerg-5933	28	28	20	20	NUM
fuelectenerg-5933	28	29	<	<	NOUN
fuelectenerg-5933	28	30	n	n	X
fuelectenerg-5933	28	31	<	<	X
fuelectenerg-5933	28	32	50	50	NUM
fuelectenerg-5933	28	33	.	.	PUNCT
fuelectenerg-5933	29	1	a	a	DET
fuelectenerg-5933	29	2	large	large	ADJ
fuelectenerg-5933	29	3	-	-	PUNCT
fuelectenerg-5933	29	4	scale	scale	NOUN
fuelectenerg-5933	29	5	study	study	NOUN
fuelectenerg-5933	29	6	involving	involve	VERB
fuelectenerg-5933	29	7	just	just	ADV
fuelectenerg-5933	29	8	7	7	NUM
fuelectenerg-5933	29	9	variables	variable	NOUN
fuelectenerg-5933	29	10	required	require	VERB
fuelectenerg-5933	29	11	millions	million	NOUN
fuelectenerg-5933	29	12	of	of	ADP
fuelectenerg-5933	29	13	individual	individual	ADJ
fuelectenerg-5933	29	14	simulations	simulation	NOUN
fuelectenerg-5933	29	15	or	or	CCONJ
fuelectenerg-5933	29	16	solver	solver	NOUN
fuelectenerg-5933	29	17	calls	call	NOUN
fuelectenerg-5933	29	18	[	[	X
fuelectenerg-5933	29	19	10	10	NUM
fuelectenerg-5933	29	20	]	]	PUNCT
fuelectenerg-5933	29	21	to	to	PART
fuelectenerg-5933	29	22	yield	yield	VERB
fuelectenerg-5933	29	23	on	on	ADP
fuelectenerg-5933	29	24	the	the	DET
fuelectenerg-5933	29	25	order	order	NOUN
fuelectenerg-5933	29	26	of	of	ADP
fuelectenerg-5933	29	27	thousands	thousand	NOUN
fuelectenerg-5933	29	28	of	of	ADP
fuelectenerg-5933	29	29	optimized	optimize	VERB
fuelectenerg-5933	29	30	designs	design	NOUN
fuelectenerg-5933	29	31	,	,	PUNCT
fuelectenerg-5933	29	32	highlighting	highlight	VERB
fuelectenerg-5933	29	33	the	the	DET
fuelectenerg-5933	29	34	need	need	NOUN
fuelectenerg-5933	29	35	for	for	ADP
fuelectenerg-5933	29	36	efficient	efficient	ADJ
fuelectenerg-5933	29	37	constraints	constraint	NOUN
fuelectenerg-5933	29	38	using	use	VERB
fuelectenerg-5933	29	39	as	as	ADV
fuelectenerg-5933	29	40	few	few	ADJ
fuelectenerg-5933	29	41	variables	variable	NOUN
fuelectenerg-5933	29	42	as	as	ADP
fuelectenerg-5933	29	43	possible	possible	ADJ
fuelectenerg-5933	29	44	.	.	PUNCT
fuelectenerg-5933	30	1	fig	fig	NOUN
fuelectenerg-5933	30	2	.	.	PUNCT
fuelectenerg-5933	31	1	1	1	NUM
fuelectenerg-5933	31	2	profile	profile	NOUN
fuelectenerg-5933	31	3	view	view	NOUN
fuelectenerg-5933	31	4	of	of	ADP
fuelectenerg-5933	31	5	a	a	DET
fuelectenerg-5933	31	6	uniform	uniform	ADJ
fuelectenerg-5933	31	7	helical	helical	ADJ
fuelectenerg-5933	31	8	antenna	antenna	NOUN
fuelectenerg-5933	31	9	of	of	ADP
fuelectenerg-5933	31	10	length	length	NOUN
fuelectenerg-5933	31	11	l	l	NOUN
fuelectenerg-5933	31	12	with	with	ADP
fuelectenerg-5933	31	13	a	a	DET
fuelectenerg-5933	31	14	winding	winding	NOUN
fuelectenerg-5933	31	15	of	of	ADP
fuelectenerg-5933	31	16	constant	constant	ADJ
fuelectenerg-5933	31	17	radius	radius	NOUN
fuelectenerg-5933	31	18	r	r	NOUN
fuelectenerg-5933	31	19	and	and	CCONJ
fuelectenerg-5933	31	20	pitch	pitch	NOUN
fuelectenerg-5933	31	21	p.	p.	NOUN
fuelectenerg-5933	31	22	fig	fig	NOUN
fuelectenerg-5933	31	23	.	.	PUNCT
fuelectenerg-5933	32	1	2	2	NUM
fuelectenerg-5933	32	2	profile	profile	NOUN
fuelectenerg-5933	32	3	view	view	NOUN
fuelectenerg-5933	32	4	of	of	ADP
fuelectenerg-5933	32	5	a	a	DET
fuelectenerg-5933	32	6	nonuniform	nonuniform	ADJ
fuelectenerg-5933	32	7	helical	helical	ADJ
fuelectenerg-5933	32	8	antenna	antenna	NOUN
fuelectenerg-5933	32	9	of	of	ADP
fuelectenerg-5933	32	10	length	length	NOUN
fuelectenerg-5933	32	11	l	l	NOUN
fuelectenerg-5933	32	12	with	with	ADP
fuelectenerg-5933	32	13	a	a	DET
fuelectenerg-5933	32	14	winding	winding	NOUN
fuelectenerg-5933	32	15	of	of	ADP
fuelectenerg-5933	32	16	linearly	linearly	ADV
fuelectenerg-5933	32	17	varying	vary	VERB
fuelectenerg-5933	32	18	radius	radius	NOUN
fuelectenerg-5933	32	19	r	r	NOUN
fuelectenerg-5933	32	20	and	and	CCONJ
fuelectenerg-5933	32	21	pitch	pitch	NOUN
fuelectenerg-5933	32	22	p.	p.	NOUN
fuelectenerg-5933	32	23	higher	high	ADJ
fuelectenerg-5933	32	24	-	-	PUNCT
fuelectenerg-5933	32	25	order	order	NOUN
fuelectenerg-5933	32	26	structural	structural	ADJ
fuelectenerg-5933	32	27	constraints	constraint	NOUN
fuelectenerg-5933	32	28	for	for	ADP
fuelectenerg-5933	32	29	improved	improved	ADJ
fuelectenerg-5933	32	30	optimization	optimization	NOUN
fuelectenerg-5933	32	31	of	of	ADP
fuelectenerg-5933	32	32	nonuniform	nonuniform	ADJ
fuelectenerg-5933	32	33	helical	helical	ADJ
fuelectenerg-5933	32	34	antennas	antenna	NOUN
fuelectenerg-5933	32	35	533	533	NUM
fuelectenerg-5933	32	36	by	by	ADP
fuelectenerg-5933	32	37	adding	add	VERB
fuelectenerg-5933	32	38	just	just	ADV
fuelectenerg-5933	32	39	two	two	NUM
fuelectenerg-5933	32	40	more	more	ADJ
fuelectenerg-5933	32	41	variables	variable	NOUN
fuelectenerg-5933	32	42	to	to	PART
fuelectenerg-5933	32	43	be	be	AUX
fuelectenerg-5933	32	44	optimized	optimize	VERB
fuelectenerg-5933	32	45	,	,	PUNCT
fuelectenerg-5933	32	46	an	an	DET
fuelectenerg-5933	32	47	improvement	improvement	NOUN
fuelectenerg-5933	32	48	over	over	ADP
fuelectenerg-5933	32	49	the	the	DET
fuelectenerg-5933	32	50	linearly	linearly	ADV
fuelectenerg-5933	32	51	constrained	constrain	VERB
fuelectenerg-5933	32	52	optimization	optimization	NOUN
fuelectenerg-5933	32	53	may	may	AUX
fuelectenerg-5933	32	54	be	be	AUX
fuelectenerg-5933	32	55	obtained	obtain	VERB
fuelectenerg-5933	32	56	.	.	PUNCT
fuelectenerg-5933	33	1	specifically	specifically	ADV
fuelectenerg-5933	33	2	,	,	PUNCT
fuelectenerg-5933	33	3	these	these	PRON
fuelectenerg-5933	33	4	are	be	AUX
fuelectenerg-5933	33	5	the	the	DET
fuelectenerg-5933	33	6	coefficients	coefficient	NOUN
fuelectenerg-5933	33	7	kr	kr	PROPN
fuelectenerg-5933	33	8	and	and	CCONJ
fuelectenerg-5933	33	9	kp	kp	PROPN
fuelectenerg-5933	33	10	introduced	introduce	VERB
fuelectenerg-5933	33	11	below	below	ADP
fuelectenerg-5933	33	12	that	that	DET
fuelectenerg-5933	33	13	control	control	VERB
fuelectenerg-5933	33	14	the	the	DET
fuelectenerg-5933	33	15	magnitude	magnitude	NOUN
fuelectenerg-5933	33	16	of	of	ADP
fuelectenerg-5933	33	17	the	the	DET
fuelectenerg-5933	33	18	curvature	curvature	NOUN
fuelectenerg-5933	33	19	terms	term	NOUN
fuelectenerg-5933	33	20	and	and	CCONJ
fuelectenerg-5933	33	21	which	which	PRON
fuelectenerg-5933	33	22	are	be	AUX
fuelectenerg-5933	33	23	shown	show	VERB
fuelectenerg-5933	33	24	in	in	ADP
fuelectenerg-5933	33	25	figs	fig	NOUN
fuelectenerg-5933	33	26	3	3	NUM
fuelectenerg-5933	33	27	and	and	CCONJ
fuelectenerg-5933	33	28	4	4	NUM
fuelectenerg-5933	33	29	.	.	PUNCT
fuelectenerg-5933	34	1	the	the	DET
fuelectenerg-5933	34	2	necessary	necessary	ADJ
fuelectenerg-5933	34	3	parabolic	parabolic	NOUN
fuelectenerg-5933	34	4	forms	form	NOUN
fuelectenerg-5933	34	5	for	for	ADP
fuelectenerg-5933	34	6	r	r	NOUN
fuelectenerg-5933	34	7	and	and	CCONJ
fuelectenerg-5933	34	8	p	p	NOUN
fuelectenerg-5933	34	9	are	be	AUX
fuelectenerg-5933	34	10	presented	present	VERB
fuelectenerg-5933	34	11	and	and	CCONJ
fuelectenerg-5933	34	12	the	the	DET
fuelectenerg-5933	34	13	double	double	ADJ
fuelectenerg-5933	34	14	-	-	PUNCT
fuelectenerg-5933	34	15	exponential	exponential	NOUN
fuelectenerg-5933	34	16	relation	relation	NOUN
fuelectenerg-5933	34	17	is	be	AUX
fuelectenerg-5933	34	18	derived	derive	VERB
fuelectenerg-5933	34	19	for	for	ADP
fuelectenerg-5933	34	20	the	the	DET
fuelectenerg-5933	34	21	z	z	NOUN
fuelectenerg-5933	34	22	locations	location	NOUN
fuelectenerg-5933	34	23	of	of	ADP
fuelectenerg-5933	34	24	each	each	DET
fuelectenerg-5933	34	25	turn	turn	NOUN
fuelectenerg-5933	34	26	n.	n.	NOUN
fuelectenerg-5933	34	27	limits	limit	NOUN
fuelectenerg-5933	34	28	for	for	ADP
fuelectenerg-5933	34	29	values	value	NOUN
fuelectenerg-5933	34	30	of	of	ADP
fuelectenerg-5933	34	31	the	the	DET
fuelectenerg-5933	34	32	curvature	curvature	NOUN
fuelectenerg-5933	34	33	coefficients	coefficient	NOUN
fuelectenerg-5933	34	34	k	k	PROPN
fuelectenerg-5933	34	35	are	be	AUX
fuelectenerg-5933	34	36	evaluated	evaluate	VERB
fuelectenerg-5933	34	37	before	before	ADP
fuelectenerg-5933	34	38	illustrating	illustrate	VERB
fuelectenerg-5933	34	39	the	the	DET
fuelectenerg-5933	34	40	accuracy	accuracy	NOUN
fuelectenerg-5933	34	41	of	of	ADP
fuelectenerg-5933	34	42	the	the	DET
fuelectenerg-5933	34	43	parabolic	parabolic	ADJ
fuelectenerg-5933	34	44	equations	equation	NOUN
fuelectenerg-5933	34	45	using	use	VERB
fuelectenerg-5933	34	46	a	a	DET
fuelectenerg-5933	34	47	set	set	NOUN
fuelectenerg-5933	34	48	of	of	ADP
fuelectenerg-5933	34	49	optimized	optimize	VERB
fuelectenerg-5933	34	50	yagi	yagi	ADJ
fuelectenerg-5933	34	51	-	-	PUNCT
fuelectenerg-5933	34	52	uda	uda	NOUN
fuelectenerg-5933	34	53	data	datum	NOUN
fuelectenerg-5933	34	54	.	.	PUNCT
fuelectenerg-5933	35	1	the	the	DET
fuelectenerg-5933	35	2	yagi	yagi	ADJ
fuelectenerg-5933	35	3	structure	structure	NOUN
fuelectenerg-5933	35	4	is	be	AUX
fuelectenerg-5933	35	5	nominally	nominally	ADV
fuelectenerg-5933	35	6	comparable	comparable	ADJ
fuelectenerg-5933	35	7	to	to	ADP
fuelectenerg-5933	35	8	the	the	DET
fuelectenerg-5933	35	9	helical	helical	ADJ
fuelectenerg-5933	35	10	antenna	antenna	NOUN
fuelectenerg-5933	35	11	and	and	CCONJ
fuelectenerg-5933	35	12	study	study	NOUN
fuelectenerg-5933	35	13	of	of	ADP
fuelectenerg-5933	35	14	the	the	DET
fuelectenerg-5933	35	15	optimized	optimize	VERB
fuelectenerg-5933	35	16	shape	shape	NOUN
fuelectenerg-5933	35	17	offers	offer	VERB
fuelectenerg-5933	35	18	a	a	DET
fuelectenerg-5933	35	19	means	mean	NOUN
fuelectenerg-5933	35	20	to	to	PART
fuelectenerg-5933	35	21	improve	improve	VERB
fuelectenerg-5933	35	22	the	the	DET
fuelectenerg-5933	35	23	helical	helical	ADJ
fuelectenerg-5933	35	24	design	design	NOUN
fuelectenerg-5933	35	25	.	.	PUNCT
fuelectenerg-5933	36	1	an	an	DET
fuelectenerg-5933	36	2	alternative	alternative	ADJ
fuelectenerg-5933	36	3	bi	bi	ADJ
fuelectenerg-5933	36	4	-	-	ADJ
fuelectenerg-5933	36	5	linear	linear	ADJ
fuelectenerg-5933	36	6	form	form	NOUN
fuelectenerg-5933	36	7	is	be	AUX
fuelectenerg-5933	36	8	compared	compare	VERB
fuelectenerg-5933	36	9	briefly	briefly	ADV
fuelectenerg-5933	36	10	and	and	CCONJ
fuelectenerg-5933	36	11	several	several	ADJ
fuelectenerg-5933	36	12	power	power	NOUN
fuelectenerg-5933	36	13	law	law	NOUN
fuelectenerg-5933	36	14	forms	form	NOUN
fuelectenerg-5933	36	15	presented	present	VERB
fuelectenerg-5933	36	16	that	that	SCONJ
fuelectenerg-5933	36	17	,	,	PUNCT
fuelectenerg-5933	36	18	in	in	ADP
fuelectenerg-5933	36	19	combination	combination	NOUN
fuelectenerg-5933	36	20	with	with	ADP
fuelectenerg-5933	36	21	the	the	DET
fuelectenerg-5933	36	22	parabolic	parabolic	ADJ
fuelectenerg-5933	36	23	forms	form	NOUN
fuelectenerg-5933	36	24	,	,	PUNCT
fuelectenerg-5933	36	25	show	show	VERB
fuelectenerg-5933	36	26	even	even	ADV
fuelectenerg-5933	36	27	further	further	ADJ
fuelectenerg-5933	36	28	flexibility	flexibility	NOUN
fuelectenerg-5933	36	29	in	in	ADP
fuelectenerg-5933	36	30	modelling	model	VERB
fuelectenerg-5933	36	31	nonuniform	nonuniform	ADJ
fuelectenerg-5933	36	32	antenna	antenna	NOUN
fuelectenerg-5933	36	33	structures	structure	NOUN
fuelectenerg-5933	36	34	.	.	PUNCT
fuelectenerg-5933	37	1	the	the	DET
fuelectenerg-5933	37	2	results	result	NOUN
fuelectenerg-5933	37	3	are	be	AUX
fuelectenerg-5933	37	4	then	then	ADV
fuelectenerg-5933	37	5	extended	extend	VERB
fuelectenerg-5933	37	6	to	to	ADP
fuelectenerg-5933	37	7	exponential	exponential	ADJ
fuelectenerg-5933	37	8	forms	form	NOUN
fuelectenerg-5933	37	9	.	.	PUNCT
fuelectenerg-5933	38	1	the	the	DET
fuelectenerg-5933	38	2	accuracy	accuracy	NOUN
fuelectenerg-5933	38	3	is	be	AUX
fuelectenerg-5933	38	4	demonstrated	demonstrate	VERB
fuelectenerg-5933	38	5	by	by	ADP
fuelectenerg-5933	38	6	comparison	comparison	NOUN
fuelectenerg-5933	38	7	with	with	ADP
fuelectenerg-5933	38	8	data	datum	NOUN
fuelectenerg-5933	38	9	from	from	ADP
fuelectenerg-5933	38	10	the	the	DET
fuelectenerg-5933	38	11	literature	literature	NOUN
fuelectenerg-5933	38	12	and	and	CCONJ
fuelectenerg-5933	38	13	the	the	DET
fuelectenerg-5933	38	14	internet	internet	NOUN
fuelectenerg-5933	38	15	for	for	ADP
fuelectenerg-5933	38	16	a	a	DET
fuelectenerg-5933	38	17	variety	variety	NOUN
fuelectenerg-5933	38	18	of	of	ADP
fuelectenerg-5933	38	19	helical	helical	ADJ
fuelectenerg-5933	38	20	and	and	CCONJ
fuelectenerg-5933	38	21	circularly	circularly	ADV
fuelectenerg-5933	38	22	polarized	polarize	VERB
fuelectenerg-5933	38	23	yagi	yagi	ADJ
fuelectenerg-5933	38	24	-	-	PUNCT
fuelectenerg-5933	38	25	uda	uda	NOUN
fuelectenerg-5933	38	26	types	type	NOUN
fuelectenerg-5933	38	27	of	of	ADP
fuelectenerg-5933	38	28	design	design	NOUN
fuelectenerg-5933	38	29	,	,	PUNCT
fuelectenerg-5933	38	30	as	as	ADV
fuelectenerg-5933	38	31	well	well	ADV
fuelectenerg-5933	38	32	as	as	ADP
fuelectenerg-5933	38	33	an	an	DET
fuelectenerg-5933	38	34	alternative	alternative	ADJ
fuelectenerg-5933	38	35	pair	pair	NOUN
fuelectenerg-5933	38	36	of	of	ADP
fuelectenerg-5933	38	37	trigonometric	trigonometric	ADJ
fuelectenerg-5933	38	38	forms	form	NOUN
fuelectenerg-5933	38	39	.	.	PUNCT
fuelectenerg-5933	39	1	expressing	express	VERB
fuelectenerg-5933	39	2	these	these	PRON
fuelectenerg-5933	39	3	in	in	ADP
fuelectenerg-5933	39	4	non	non	ADJ
fuelectenerg-5933	39	5	-	-	ADJ
fuelectenerg-5933	39	6	dimensional	dimensional	ADJ
fuelectenerg-5933	39	7	form	form	NOUN
fuelectenerg-5933	39	8	simplifies	simplifie	NOUN
fuelectenerg-5933	39	9	presentation	presentation	NOUN
fuelectenerg-5933	39	10	of	of	ADP
fuelectenerg-5933	39	11	the	the	DET
fuelectenerg-5933	39	12	mathematics	mathematic	NOUN
fuelectenerg-5933	39	13	.	.	PUNCT
fuelectenerg-5933	40	1	finally	finally	ADV
fuelectenerg-5933	40	2	,	,	PUNCT
fuelectenerg-5933	40	3	a	a	DET
fuelectenerg-5933	40	4	simple	simple	ADJ
fuelectenerg-5933	40	5	calculus	calculus	NOUN
fuelectenerg-5933	40	6	-	-	PUNCT
fuelectenerg-5933	40	7	of	of	ADP
fuelectenerg-5933	40	8	-	-	PUNCT
fuelectenerg-5933	40	9	variations	variation	NOUN
fuelectenerg-5933	40	10	test	test	NOUN
fuelectenerg-5933	40	11	is	be	AUX
fuelectenerg-5933	40	12	presented	present	VERB
fuelectenerg-5933	40	13	that	that	SCONJ
fuelectenerg-5933	40	14	shows	show	VERB
fuelectenerg-5933	40	15	higher	high	ADJ
fuelectenerg-5933	40	16	-	-	PUNCT
fuelectenerg-5933	40	17	order	order	NOUN
fuelectenerg-5933	40	18	constraints	constraint	NOUN
fuelectenerg-5933	40	19	will	will	AUX
fuelectenerg-5933	40	20	generally	generally	ADV
fuelectenerg-5933	40	21	give	give	VERB
fuelectenerg-5933	40	22	an	an	DET
fuelectenerg-5933	40	23	improved	improved	ADJ
fuelectenerg-5933	40	24	optimization	optimization	NOUN
fuelectenerg-5933	40	25	over	over	ADP
fuelectenerg-5933	40	26	the	the	DET
fuelectenerg-5933	40	27	linear	linear	NOUN
fuelectenerg-5933	40	28	constraints	constraint	NOUN
fuelectenerg-5933	40	29	,	,	PUNCT
fuelectenerg-5933	40	30	especially	especially	ADV
fuelectenerg-5933	40	31	for	for	ADP
fuelectenerg-5933	40	32	shorter	short	ADJ
fuelectenerg-5933	40	33	antennas	antenna	NOUN
fuelectenerg-5933	40	34	where	where	SCONJ
fuelectenerg-5933	40	35	l	l	NOUN
fuelectenerg-5933	40	36	≤	≤	ADJ
fuelectenerg-5933	40	37	2λ	2λ	PROPN
fuelectenerg-5933	40	38	.	.	PUNCT
fuelectenerg-5933	41	1	fig	fig	NOUN
fuelectenerg-5933	41	2	.	.	PUNCT
fuelectenerg-5933	42	1	3	3	NUM
fuelectenerg-5933	42	2	effect	effect	NOUN
fuelectenerg-5933	42	3	of	of	ADP
fuelectenerg-5933	42	4	radius	radius	NOUN
fuelectenerg-5933	42	5	curvature	curvature	NOUN
fuelectenerg-5933	42	6	on	on	ADP
fuelectenerg-5933	42	7	the	the	DET
fuelectenerg-5933	42	8	helix	helix	ADJ
fuelectenerg-5933	42	9	profile	profile	NOUN
fuelectenerg-5933	42	10	:	:	PUNCT
fuelectenerg-5933	42	11	kr	kr	PROPN
fuelectenerg-5933	42	12	>	>	X
fuelectenerg-5933	42	13	0	0	NUM
fuelectenerg-5933	42	14	is	be	AUX
fuelectenerg-5933	42	15	concave	concave	ADJ
fuelectenerg-5933	42	16	and	and	CCONJ
fuelectenerg-5933	42	17	kr	kr	PROPN
fuelectenerg-5933	42	18	<	<	X
fuelectenerg-5933	42	19	0	0	NUM
fuelectenerg-5933	42	20	is	be	AUX
fuelectenerg-5933	42	21	convex	convex	PROPN
fuelectenerg-5933	42	22	.	.	PUNCT
fuelectenerg-5933	43	1	fig	fig	NOUN
fuelectenerg-5933	43	2	.	.	PUNCT
fuelectenerg-5933	44	1	4	4	NUM
fuelectenerg-5933	44	2	effect	effect	NOUN
fuelectenerg-5933	44	3	of	of	ADP
fuelectenerg-5933	44	4	pitch	pitch	NOUN
fuelectenerg-5933	44	5	curvature	curvature	NOUN
fuelectenerg-5933	44	6	on	on	ADP
fuelectenerg-5933	44	7	the	the	DET
fuelectenerg-5933	44	8	helix	helix	ADJ
fuelectenerg-5933	44	9	winding	winding	NOUN
fuelectenerg-5933	44	10	:	:	PUNCT
fuelectenerg-5933	44	11	kp	kp	PROPN
fuelectenerg-5933	44	12	<	<	X
fuelectenerg-5933	44	13	0	0	PROPN
fuelectenerg-5933	44	14	increases	increase	VERB
fuelectenerg-5933	44	15	pitch	pitch	NOUN
fuelectenerg-5933	44	16	and	and	CCONJ
fuelectenerg-5933	44	17	kp	kp	PROPN
fuelectenerg-5933	44	18	>	>	X
fuelectenerg-5933	44	19	0	0	NUM
fuelectenerg-5933	45	1	decreases	decrease	VERB
fuelectenerg-5933	45	2	pitch	pitch	NOUN
fuelectenerg-5933	45	3	.	.	PUNCT
fuelectenerg-5933	46	1	2	2	X
fuelectenerg-5933	46	2	.	.	X
fuelectenerg-5933	46	3	parabolic	parabolic	ADJ
fuelectenerg-5933	46	4	form	form	NOUN
fuelectenerg-5933	46	5	2.1	2.1	NUM
fuelectenerg-5933	46	6	.	.	PUNCT
fuelectenerg-5933	47	1	parabolic	parabolic	NOUN
fuelectenerg-5933	47	2	constraints	constraint	NOUN
fuelectenerg-5933	47	3	the	the	DET
fuelectenerg-5933	47	4	second	second	ADJ
fuelectenerg-5933	47	5	-	-	PUNCT
fuelectenerg-5933	47	6	order	order	NOUN
fuelectenerg-5933	47	7	polynomial	polynomial	ADJ
fuelectenerg-5933	47	8	relations	relation	NOUN
fuelectenerg-5933	47	9	for	for	ADP
fuelectenerg-5933	47	10	helix	helix	ADJ
fuelectenerg-5933	47	11	radius	radius	NOUN
fuelectenerg-5933	47	12	r	r	NOUN
fuelectenerg-5933	47	13	and	and	CCONJ
fuelectenerg-5933	47	14	pitch	pitch	NOUN
fuelectenerg-5933	47	15	p	p	NOUN
fuelectenerg-5933	47	16	may	may	AUX
fuelectenerg-5933	47	17	be	be	AUX
fuelectenerg-5933	47	18	written	write	VERB
fuelectenerg-5933	47	19	in	in	ADP
fuelectenerg-5933	47	20	non	non	ADJ
fuelectenerg-5933	47	21	-	-	ADJ
fuelectenerg-5933	47	22	dimensional	dimensional	ADJ
fuelectenerg-5933	47	23	form	form	NOUN
fuelectenerg-5933	47	24	:	:	PUNCT
fuelectenerg-5933	48	1	534	534	NUM
fuelectenerg-5933	48	2	g.	g.	PROPN
fuelectenerg-5933	48	3	e.	e.	PROPN
fuelectenerg-5933	48	4	innes	innes	PROPN
fuelectenerg-5933	48	5	r=	r=	PROPN
fuelectenerg-5933	49	1	k	k	PROPN
fuelectenerg-5933	49	2	r	r	NOUN
fuelectenerg-5933	49	3	z	z	PROPN
fuelectenerg-5933	49	4	2	2	NUM
fuelectenerg-5933	49	5	+	+	CCONJ
fuelectenerg-5933	49	6	(	(	PUNCT
fuelectenerg-5933	49	7	a	a	DET
fuelectenerg-5933	49	8	r	r	NOUN
fuelectenerg-5933	49	9	k	k	NOUN
fuelectenerg-5933	49	10	r	r	NOUN
fuelectenerg-5933	49	11	)	)	PUNCT
fuelectenerg-5933	49	12	z	z	NOUN
fuelectenerg-5933	50	1	+1	+1	NOUN
fuelectenerg-5933	50	2	(	(	PUNCT
fuelectenerg-5933	50	3	1	1	NUM
fuelectenerg-5933	50	4	)	)	PUNCT
fuelectenerg-5933	50	5	p	p	NOUN
fuelectenerg-5933	51	1	=	=	PUNCT
fuelectenerg-5933	51	2	k	k	PROPN
fuelectenerg-5933	51	3	p	p	X
fuelectenerg-5933	51	4	z	z	PROPN
fuelectenerg-5933	51	5	2	2	NUM
fuelectenerg-5933	51	6	+	+	CCONJ
fuelectenerg-5933	51	7	(	(	PUNCT
fuelectenerg-5933	51	8	a	a	DET
fuelectenerg-5933	51	9	p	p	X
fuelectenerg-5933	51	10	k	k	PROPN
fuelectenerg-5933	51	11	p	p	NOUN
fuelectenerg-5933	51	12	)	)	PUNCT
fuelectenerg-5933	51	13	z	z	PROPN
fuelectenerg-5933	51	14	+1=	+1=	PROPN
fuelectenerg-5933	51	15	dz	dz	PROPN
fuelectenerg-5933	51	16	dn	dn	NOUN
fuelectenerg-5933	51	17	(	(	PUNCT
fuelectenerg-5933	51	18	2	2	NUM
fuelectenerg-5933	51	19	)	)	PUNCT
fuelectenerg-5933	51	20	where	where	SCONJ
fuelectenerg-5933	51	21	the	the	DET
fuelectenerg-5933	51	22	coefficients	coefficient	NOUN
fuelectenerg-5933	51	23	kr	kr	PROPN
fuelectenerg-5933	51	24	and	and	CCONJ
fuelectenerg-5933	51	25	kp	kp	PROPN
fuelectenerg-5933	51	26	control	control	VERB
fuelectenerg-5933	51	27	the	the	DET
fuelectenerg-5933	51	28	magnitude	magnitude	NOUN
fuelectenerg-5933	51	29	of	of	ADP
fuelectenerg-5933	51	30	each	each	DET
fuelectenerg-5933	51	31	z2	z2	ADJ
fuelectenerg-5933	51	32	term	term	NOUN
fuelectenerg-5933	51	33	(	(	PUNCT
fuelectenerg-5933	51	34	curvature	curvature	NOUN
fuelectenerg-5933	51	35	term	term	NOUN
fuelectenerg-5933	51	36	)	)	PUNCT
fuelectenerg-5933	51	37	and	and	CCONJ
fuelectenerg-5933	51	38	the	the	DET
fuelectenerg-5933	51	39	following	follow	VERB
fuelectenerg-5933	51	40	non	non	ADJ
fuelectenerg-5933	51	41	-	-	ADJ
fuelectenerg-5933	51	42	dimensional	dimensional	ADJ
fuelectenerg-5933	51	43	groups	group	NOUN
fuelectenerg-5933	51	44	are	be	AUX
fuelectenerg-5933	51	45	defined	define	VERB
fuelectenerg-5933	51	46	:	:	PUNCT
fuelectenerg-5933	51	47	r	r	NOUN
fuelectenerg-5933	51	48	=	=	SYM
fuelectenerg-5933	51	49	r	r	NOUN
fuelectenerg-5933	51	50	/	/	SYM
fuelectenerg-5933	51	51	r1	r1	PROPN
fuelectenerg-5933	51	52	is	be	AUX
fuelectenerg-5933	51	53	the	the	DET
fuelectenerg-5933	51	54	radius	radius	NOUN
fuelectenerg-5933	51	55	of	of	ADP
fuelectenerg-5933	51	56	the	the	DET
fuelectenerg-5933	51	57	helix	helix	ADJ
fuelectenerg-5933	51	58	winding	winding	NOUN
fuelectenerg-5933	51	59	,	,	PUNCT
fuelectenerg-5933	51	60	p	p	NOUN
fuelectenerg-5933	51	61	=	=	SYM
fuelectenerg-5933	51	62	p	p	NOUN
fuelectenerg-5933	51	63	/	/	SYM
fuelectenerg-5933	51	64	p1	p1	NOUN
fuelectenerg-5933	51	65	is	be	AUX
fuelectenerg-5933	51	66	the	the	DET
fuelectenerg-5933	51	67	pitch	pitch	NOUN
fuelectenerg-5933	51	68	of	of	ADP
fuelectenerg-5933	51	69	the	the	DET
fuelectenerg-5933	51	70	winding	winding	NOUN
fuelectenerg-5933	51	71	,	,	PUNCT
fuelectenerg-5933	51	72	z	z	NOUN
fuelectenerg-5933	51	73	=	=	SYM
fuelectenerg-5933	51	74	z	z	X
fuelectenerg-5933	51	75	/	/	SYM
fuelectenerg-5933	51	76	l	l	NOUN
fuelectenerg-5933	51	77	is	be	AUX
fuelectenerg-5933	51	78	the	the	DET
fuelectenerg-5933	51	79	axial	axial	ADJ
fuelectenerg-5933	51	80	distance	distance	NOUN
fuelectenerg-5933	51	81	,	,	PUNCT
fuelectenerg-5933	51	82	ar	ar	NOUN
fuelectenerg-5933	51	83	=	=	SYM
fuelectenerg-5933	51	84	(	(	PUNCT
fuelectenerg-5933	51	85	r2	r2	PROPN
fuelectenerg-5933	51	86	–	–	PUNCT
fuelectenerg-5933	51	87	r1)/r1	r1)/r1	NOUN
fuelectenerg-5933	51	88	is	be	AUX
fuelectenerg-5933	51	89	the	the	DET
fuelectenerg-5933	51	90	radius	radius	NOUN
fuelectenerg-5933	51	91	taper	taper	NOUN
fuelectenerg-5933	51	92	,	,	PUNCT
fuelectenerg-5933	51	93	ap	ap	PROPN
fuelectenerg-5933	52	1	=	=	PUNCT
fuelectenerg-5933	52	2	(	(	PUNCT
fuelectenerg-5933	52	3	p2	p2	X
fuelectenerg-5933	52	4	–	–	PUNCT
fuelectenerg-5933	52	5	p1)/p1	p1)/p1	PART
fuelectenerg-5933	52	6	is	be	AUX
fuelectenerg-5933	52	7	the	the	DET
fuelectenerg-5933	52	8	pitch	pitch	NOUN
fuelectenerg-5933	52	9	taper	taper	NOUN
fuelectenerg-5933	52	10	and	and	CCONJ
fuelectenerg-5933	52	11	n	n	NOUN
fuelectenerg-5933	52	12	=	=	SYM
fuelectenerg-5933	52	13	n(p1	n(p1	PROPN
fuelectenerg-5933	52	14	/	/	SYM
fuelectenerg-5933	52	15	l	l	NOUN
fuelectenerg-5933	52	16	)	)	PUNCT
fuelectenerg-5933	52	17	is	be	AUX
fuelectenerg-5933	52	18	the	the	DET
fuelectenerg-5933	52	19	reduced	reduce	VERB
fuelectenerg-5933	52	20	turn	turn	NOUN
fuelectenerg-5933	52	21	number	number	NOUN
fuelectenerg-5933	52	22	.	.	PUNCT
fuelectenerg-5933	53	1	the	the	DET
fuelectenerg-5933	53	2	pitch	pitch	PROPN
fuelectenerg-5933	53	3	angle	angle	NOUN
fuelectenerg-5933	53	4	[	[	X
fuelectenerg-5933	53	5	10	10	NUM
fuelectenerg-5933	53	6	]	]	PUNCT
fuelectenerg-5933	53	7	is	be	AUX
fuelectenerg-5933	53	8	sometimes	sometimes	ADV
fuelectenerg-5933	53	9	used	use	VERB
fuelectenerg-5933	53	10	as	as	ADP
fuelectenerg-5933	53	11	an	an	DET
fuelectenerg-5933	53	12	alternative	alternative	NOUN
fuelectenerg-5933	53	13	to	to	ADP
fuelectenerg-5933	53	14	the	the	DET
fuelectenerg-5933	53	15	helix	helix	ADJ
fuelectenerg-5933	53	16	pitch	pitch	NOUN
fuelectenerg-5933	53	17	,	,	PUNCT
fuelectenerg-5933	53	18	with	with	ADP
fuelectenerg-5933	53	19	the	the	DET
fuelectenerg-5933	53	20	definition	definition	NOUN
fuelectenerg-5933	53	21			PROPN
fuelectenerg-5933	53	22	=	=	SYM
fuelectenerg-5933	53	23	tan-1(p/2πr	tan-1(p/2πr	PROPN
fuelectenerg-5933	53	24	)	)	PUNCT
fuelectenerg-5933	54	1	≈	≈	PROPN
fuelectenerg-5933	54	2	p/2πr	p/2πr	NOUN
fuelectenerg-5933	54	3	radians	radian	NOUN
fuelectenerg-5933	54	4	,	,	PUNCT
fuelectenerg-5933	54	5	or	or	CCONJ
fuelectenerg-5933	54	6			PROPN
fuelectenerg-5933	54	7	≈	≈	PROPN
fuelectenerg-5933	54	8	90p	90p	NOUN
fuelectenerg-5933	54	9	/	/	SYM
fuelectenerg-5933	54	10	π2r	π2r	X
fuelectenerg-5933	54	11	degrees	degree	NOUN
fuelectenerg-5933	54	12	.	.	PUNCT
fuelectenerg-5933	55	1	this	this	DET
fuelectenerg-5933	55	2	approximation	approximation	NOUN
fuelectenerg-5933	55	3	is	be	AUX
fuelectenerg-5933	55	4	accurate	accurate	ADJ
fuelectenerg-5933	55	5	to	to	ADP
fuelectenerg-5933	55	6	within	within	ADP
fuelectenerg-5933	55	7	1	1	NUM
fuelectenerg-5933	55	8	percent	percent	NOUN
fuelectenerg-5933	55	9	for	for	ADP
fuelectenerg-5933	55	10			PROPN
fuelectenerg-5933	55	11	<	<	X
fuelectenerg-5933	55	12	9.86	9.86	NUM
fuelectenerg-5933	55	13	degrees	degree	NOUN
fuelectenerg-5933	55	14	and	and	CCONJ
fuelectenerg-5933	55	15	to	to	ADP
fuelectenerg-5933	55	16	within	within	ADP
fuelectenerg-5933	55	17	2	2	NUM
fuelectenerg-5933	55	18	percent	percent	NOUN
fuelectenerg-5933	55	19	for	for	ADP
fuelectenerg-5933	55	20			PROPN
fuelectenerg-5933	55	21	<	<	X
fuelectenerg-5933	55	22	13.87	13.87	NUM
fuelectenerg-5933	55	23	degrees	degree	NOUN
fuelectenerg-5933	55	24	.	.	PUNCT
fuelectenerg-5933	55	25	substitution	substitution	NOUN
fuelectenerg-5933	55	26	into	into	ADP
fuelectenerg-5933	55	27	eq	eq	NOUN
fuelectenerg-5933	55	28	.	.	PUNCT
fuelectenerg-5933	56	1	(	(	PUNCT
fuelectenerg-5933	56	2	2	2	X
fuelectenerg-5933	56	3	)	)	PUNCT
fuelectenerg-5933	56	4	allows	allow	VERB
fuelectenerg-5933	56	5	convenient	convenient	ADJ
fuelectenerg-5933	56	6	comparison	comparison	NOUN
fuelectenerg-5933	56	7	of	of	ADP
fuelectenerg-5933	56	8	the	the	DET
fuelectenerg-5933	56	9	two	two	NUM
fuelectenerg-5933	56	10	systems	system	NOUN
fuelectenerg-5933	56	11	to	to	ADP
fuelectenerg-5933	56	12	the	the	DET
fuelectenerg-5933	56	13	same	same	ADJ
fuelectenerg-5933	56	14	order	order	NOUN
fuelectenerg-5933	56	15	of	of	ADP
fuelectenerg-5933	56	16	accuracy	accuracy	NOUN
fuelectenerg-5933	56	17	,	,	PUNCT
fuelectenerg-5933	56	18	which	which	PRON
fuelectenerg-5933	56	19	may	may	AUX
fuelectenerg-5933	56	20	be	be	AUX
fuelectenerg-5933	56	21	acceptable	acceptable	ADJ
fuelectenerg-5933	56	22	for	for	ADP
fuelectenerg-5933	56	23	many	many	ADJ
fuelectenerg-5933	56	24	practical	practical	ADJ
fuelectenerg-5933	56	25	cases	case	NOUN
fuelectenerg-5933	56	26	.	.	PUNCT
fuelectenerg-5933	57	1	eqs	eqs	X
fuelectenerg-5933	57	2	(	(	PUNCT
fuelectenerg-5933	57	3	1	1	NUM
fuelectenerg-5933	57	4	)	)	PUNCT
fuelectenerg-5933	57	5	and	and	CCONJ
fuelectenerg-5933	57	6	(	(	PUNCT
fuelectenerg-5933	57	7	2	2	X
fuelectenerg-5933	57	8	)	)	PUNCT
fuelectenerg-5933	57	9	reduce	reduce	VERB
fuelectenerg-5933	57	10	to	to	ADP
fuelectenerg-5933	57	11	the	the	DET
fuelectenerg-5933	57	12	linear	linear	ADJ
fuelectenerg-5933	57	13	cases	case	NOUN
fuelectenerg-5933	57	14	for	for	ADP
fuelectenerg-5933	57	15	kr	kr	PROPN
fuelectenerg-5933	57	16	=	=	SYM
fuelectenerg-5933	57	17	kp	kp	PROPN
fuelectenerg-5933	57	18	=	=	PUNCT
fuelectenerg-5933	57	19	0	0	X
fuelectenerg-5933	57	20	.	.	PUNCT
fuelectenerg-5933	58	1	the	the	DET
fuelectenerg-5933	58	2	radius	radius	NOUN
fuelectenerg-5933	58	3	curvature	curvature	NOUN
fuelectenerg-5933	58	4	coefficient	coefficient	NOUN
fuelectenerg-5933	58	5	kr	kr	PROPN
fuelectenerg-5933	58	6	>	>	X
fuelectenerg-5933	58	7	0	0	PUNCT
fuelectenerg-5933	58	8	for	for	ADP
fuelectenerg-5933	58	9	concave	concave	ADJ
fuelectenerg-5933	58	10	helix	helix	ADJ
fuelectenerg-5933	58	11	profiles	profile	NOUN
fuelectenerg-5933	58	12	and	and	CCONJ
fuelectenerg-5933	58	13	kr	kr	NOUN
fuelectenerg-5933	58	14	<	<	X
fuelectenerg-5933	58	15	0	0	NUM
fuelectenerg-5933	58	16	for	for	ADP
fuelectenerg-5933	58	17	convex	convex	NOUN
fuelectenerg-5933	58	18	profiles	profile	NOUN
fuelectenerg-5933	58	19	,	,	PUNCT
fuelectenerg-5933	58	20	fig	fig	NOUN
fuelectenerg-5933	58	21	.	.	PUNCT
fuelectenerg-5933	59	1	3	3	NUM
fuelectenerg-5933	59	2	,	,	PUNCT
fuelectenerg-5933	59	3	and	and	CCONJ
fuelectenerg-5933	59	4	the	the	DET
fuelectenerg-5933	59	5	pitch	pitch	NOUN
fuelectenerg-5933	59	6	curvature	curvature	NOUN
fuelectenerg-5933	59	7	coefficient	coefficient	NOUN
fuelectenerg-5933	59	8	kp	kp	PROPN
fuelectenerg-5933	59	9	imposes	impose	VERB
fuelectenerg-5933	59	10	a	a	DET
fuelectenerg-5933	59	11	comparable	comparable	ADJ
fuelectenerg-5933	59	12	pattern	pattern	NOUN
fuelectenerg-5933	59	13	onto	onto	ADP
fuelectenerg-5933	59	14	the	the	DET
fuelectenerg-5933	59	15	helix	helix	ADJ
fuelectenerg-5933	59	16	winding	winding	NOUN
fuelectenerg-5933	59	17	,	,	PUNCT
fuelectenerg-5933	59	18	fig	fig	NOUN
fuelectenerg-5933	59	19	.	.	PUNCT
fuelectenerg-5933	60	1	4	4	X
fuelectenerg-5933	60	2	.	.	X
fuelectenerg-5933	60	3	the	the	DET
fuelectenerg-5933	60	4	limits	limit	NOUN
fuelectenerg-5933	60	5	for	for	ADP
fuelectenerg-5933	60	6	values	value	NOUN
fuelectenerg-5933	60	7	of	of	ADP
fuelectenerg-5933	60	8	the	the	DET
fuelectenerg-5933	60	9	coefficients	coefficient	NOUN
fuelectenerg-5933	60	10	are	be	AUX
fuelectenerg-5933	60	11	explored	explore	VERB
fuelectenerg-5933	60	12	in	in	ADP
fuelectenerg-5933	60	13	the	the	DET
fuelectenerg-5933	60	14	next	next	ADJ
fuelectenerg-5933	60	15	subsection	subsection	NOUN
fuelectenerg-5933	60	16	.	.	PUNCT
fuelectenerg-5933	61	1	eq	eq	ADP
fuelectenerg-5933	61	2	.	.	PUNCT
fuelectenerg-5933	62	1	(	(	PUNCT
fuelectenerg-5933	62	2	2	2	X
fuelectenerg-5933	62	3	)	)	PUNCT
fuelectenerg-5933	62	4	may	may	AUX
fuelectenerg-5933	62	5	be	be	AUX
fuelectenerg-5933	62	6	rearranged	rearrange	VERB
fuelectenerg-5933	62	7	,	,	PUNCT
fuelectenerg-5933	62	8	integrated	integrate	VERB
fuelectenerg-5933	62	9	and	and	CCONJ
fuelectenerg-5933	62	10	the	the	DET
fuelectenerg-5933	62	11	boundary	boundary	ADJ
fuelectenerg-5933	62	12	condition	condition	NOUN
fuelectenerg-5933	62	13	n	n	NOUN
fuelectenerg-5933	62	14	=	=	SYM
fuelectenerg-5933	62	15	0	0	PROPN
fuelectenerg-5933	63	1	at	at	ADP
fuelectenerg-5933	63	2	z	z	NOUN
fuelectenerg-5933	63	3	=	=	SYM
fuelectenerg-5933	63	4	0	0	NUM
fuelectenerg-5933	63	5	applied	apply	VERB
fuelectenerg-5933	63	6	to	to	PART
fuelectenerg-5933	63	7	yield	yield	VERB
fuelectenerg-5933	63	8	:	:	PUNCT
fuelectenerg-5933	63	9	2	2	NUM
fuelectenerg-5933	63	10	2	2	NUM
fuelectenerg-5933	63	11	1	1	NUM
fuelectenerg-5933	63	12	1	1	NUM
fuelectenerg-5933	63	13	11	11	NUM
fuelectenerg-5933	63	14	ln	ln	ADJ
fuelectenerg-5933	63	15	(	(	PUNCT
fuelectenerg-5933	63	16	)	)	PUNCT
fuelectenerg-5933	63	17	1p	1p	NUM
fuelectenerg-5933	63	18	z	z	NOUN
fuelectenerg-5933	63	19	q	q	PROPN
fuelectenerg-5933	63	20	n	n	ADV
fuelectenerg-5933	63	21	k	k	NOUN
fuelectenerg-5933	63	22	q	q	X
fuelectenerg-5933	63	23	q	q	PROPN
fuelectenerg-5933	63	24	z	z	PROPN
fuelectenerg-5933	63	25	q	q	NOUN
fuelectenerg-5933	63	26			NOUN
fuelectenerg-5933	63	27	−	−	NOUN
fuelectenerg-5933	64	1	=	=	SYM
fuelectenerg-5933	64	2			PROPN
fuelectenerg-5933	64	3			INTJ
fuelectenerg-5933	65	1	−	−	NOUN
fuelectenerg-5933	65	2	−	−	NUM
fuelectenerg-5933	65	3			NOUN
fuelectenerg-5933	65	4	(	(	PUNCT
fuelectenerg-5933	65	5	3	3	NUM
fuelectenerg-5933	65	6	)	)	PUNCT
fuelectenerg-5933	65	7	where	where	SCONJ
fuelectenerg-5933	65	8	,	,	PUNCT
fuelectenerg-5933	65	9	defining	define	VERB
fuelectenerg-5933	65	10	b	b	NOUN
fuelectenerg-5933	65	11	=	=	SYM
fuelectenerg-5933	65	12	(	(	PUNCT
fuelectenerg-5933	65	13	ap	ap	PROPN
fuelectenerg-5933	65	14	–	–	PUNCT
fuelectenerg-5933	65	15	kp)/2kp	kp)/2kp	PROPN
fuelectenerg-5933	65	16	,	,	PUNCT
fuelectenerg-5933	65	17	the	the	DET
fuelectenerg-5933	65	18	two	two	NUM
fuelectenerg-5933	65	19	quadratic	quadratic	ADJ
fuelectenerg-5933	65	20	root	root	NOUN
fuelectenerg-5933	65	21	quantities	quantity	NOUN
fuelectenerg-5933	65	22	are	be	AUX
fuelectenerg-5933	65	23	:	:	PUNCT
fuelectenerg-5933	65	24	q	q	X
fuelectenerg-5933	65	25	1	1	NUM
fuelectenerg-5933	65	26	=	=	SYM
fuelectenerg-5933	65	27	-bb2	-bb2	PROPN
fuelectenerg-5933	65	28	-1	-1	NOUN
fuelectenerg-5933	66	1	k	k	PROPN
fuelectenerg-5933	66	2	p	p	X
fuelectenerg-5933	66	3	(	(	PUNCT
fuelectenerg-5933	66	4	4	4	NUM
fuelectenerg-5933	66	5	)	)	PUNCT
fuelectenerg-5933	66	6	q	q	NOUN
fuelectenerg-5933	66	7	2	2	NUM
fuelectenerg-5933	66	8	=	=	SYM
fuelectenerg-5933	66	9	-b+	-b+	NOUN
fuelectenerg-5933	66	10	b2	b2	NOUN
fuelectenerg-5933	66	11	-1	-1	PROPN
fuelectenerg-5933	67	1	k	k	PROPN
fuelectenerg-5933	67	2	p	p	X
fuelectenerg-5933	67	3	(	(	PUNCT
fuelectenerg-5933	67	4	5	5	NUM
fuelectenerg-5933	67	5	)	)	PUNCT
fuelectenerg-5933	67	6	taking	take	VERB
fuelectenerg-5933	67	7	z	z	NOUN
fuelectenerg-5933	67	8	=	=	SYM
fuelectenerg-5933	67	9	1	1	NUM
fuelectenerg-5933	67	10	allows	allow	VERB
fuelectenerg-5933	67	11	calculation	calculation	NOUN
fuelectenerg-5933	67	12	of	of	ADP
fuelectenerg-5933	67	13	the	the	DET
fuelectenerg-5933	67	14	total	total	ADJ
fuelectenerg-5933	67	15	number	number	NOUN
fuelectenerg-5933	67	16	of	of	ADP
fuelectenerg-5933	67	17	turns	turn	NOUN
fuelectenerg-5933	67	18	ntot	ntot	PROPN
fuelectenerg-5933	67	19	=	=	SYM
fuelectenerg-5933	67	20	ntot(l	ntot(l	PROPN
fuelectenerg-5933	67	21	/	/	SYM
fuelectenerg-5933	67	22	p1	p1	NOUN
fuelectenerg-5933	67	23	)	)	PUNCT
fuelectenerg-5933	67	24	of	of	ADP
fuelectenerg-5933	67	25	the	the	DET
fuelectenerg-5933	67	26	helix	helix	ADJ
fuelectenerg-5933	67	27	winding	winding	NOUN
fuelectenerg-5933	67	28	.	.	PUNCT
fuelectenerg-5933	68	1	rearranging	rearrange	VERB
fuelectenerg-5933	68	2	for	for	ADP
fuelectenerg-5933	68	3	z	z	PROPN
fuelectenerg-5933	68	4	,	,	PUNCT
fuelectenerg-5933	68	5	a	a	DET
fuelectenerg-5933	68	6	double	double	ADJ
fuelectenerg-5933	68	7	-	-	PUNCT
fuelectenerg-5933	68	8	exponential	exponential	NOUN
fuelectenerg-5933	68	9	relation	relation	NOUN
fuelectenerg-5933	68	10	in	in	ADP
fuelectenerg-5933	68	11	terms	term	NOUN
fuelectenerg-5933	68	12	of	of	ADP
fuelectenerg-5933	68	13	n	n	NOUN
fuelectenerg-5933	68	14	results	result	NOUN
fuelectenerg-5933	68	15	:	:	PUNCT
fuelectenerg-5933	68	16	z	z	NOUN
fuelectenerg-5933	68	17	=	=	PUNCT
fuelectenerg-5933	68	18	exp[k	exp[k	NOUN
fuelectenerg-5933	68	19	p	p	X
fuelectenerg-5933	68	20	(	(	PUNCT
fuelectenerg-5933	68	21	q	q	PROPN
fuelectenerg-5933	68	22	2	2	NUM
fuelectenerg-5933	68	23	-q	-q	SYM
fuelectenerg-5933	68	24	1	1	NUM
fuelectenerg-5933	68	25	)	)	PUNCT
fuelectenerg-5933	68	26	n	n	NOUN
fuelectenerg-5933	68	27	]	]	X
fuelectenerg-5933	68	28	-1	-1	PUNCT
fuelectenerg-5933	68	29	(	(	PUNCT
fuelectenerg-5933	68	30	1	1	NUM
fuelectenerg-5933	68	31	q	q	NOUN
fuelectenerg-5933	68	32	1	1	NUM
fuelectenerg-5933	68	33	)	)	PUNCT
fuelectenerg-5933	68	34	exp[k	exp[k	NOUN
fuelectenerg-5933	68	35	p	p	NOUN
fuelectenerg-5933	68	36	(	(	PUNCT
fuelectenerg-5933	68	37	q	q	PROPN
fuelectenerg-5933	68	38	2	2	NUM
fuelectenerg-5933	68	39	-q	-q	SYM
fuelectenerg-5933	68	40	1	1	NUM
fuelectenerg-5933	68	41	)	)	PUNCT
fuelectenerg-5933	68	42	n	n	NOUN
fuelectenerg-5933	68	43	]	]	PUNCT
fuelectenerg-5933	68	44	(	(	PUNCT
fuelectenerg-5933	68	45	1	1	NUM
fuelectenerg-5933	68	46	q	q	NOUN
fuelectenerg-5933	68	47	2	2	NUM
fuelectenerg-5933	68	48	)	)	PUNCT
fuelectenerg-5933	68	49	(	(	PUNCT
fuelectenerg-5933	68	50	6	6	NUM
fuelectenerg-5933	68	51	)	)	PUNCT
fuelectenerg-5933	68	52	which	which	PRON
fuelectenerg-5933	68	53	allows	allow	VERB
fuelectenerg-5933	68	54	the	the	DET
fuelectenerg-5933	68	55	axial	axial	ADJ
fuelectenerg-5933	68	56	position	position	NOUN
fuelectenerg-5933	68	57	of	of	ADP
fuelectenerg-5933	68	58	each	each	DET
fuelectenerg-5933	68	59	turn	turn	NOUN
fuelectenerg-5933	68	60	to	to	PART
fuelectenerg-5933	68	61	be	be	AUX
fuelectenerg-5933	68	62	determined	determine	VERB
fuelectenerg-5933	68	63	.	.	PUNCT
fuelectenerg-5933	69	1	eqs	eqs	X
fuelectenerg-5933	69	2	(	(	PUNCT
fuelectenerg-5933	69	3	3	3	NUM
fuelectenerg-5933	69	4	)	)	PUNCT
fuelectenerg-5933	69	5	to	to	ADP
fuelectenerg-5933	69	6	(	(	PUNCT
fuelectenerg-5933	69	7	6	6	NUM
fuelectenerg-5933	69	8	)	)	PUNCT
fuelectenerg-5933	69	9	break	break	VERB
fuelectenerg-5933	69	10	down	down	ADP
fuelectenerg-5933	69	11	for	for	ADP
fuelectenerg-5933	69	12	kp	kp	PROPN
fuelectenerg-5933	69	13	=	=	SYM
fuelectenerg-5933	69	14	0	0	PROPN
fuelectenerg-5933	69	15	,	,	PUNCT
fuelectenerg-5933	69	16	in	in	ADP
fuelectenerg-5933	69	17	which	which	DET
fuelectenerg-5933	69	18	case	case	NOUN
fuelectenerg-5933	69	19	they	they	PRON
fuelectenerg-5933	69	20	become	become	VERB
fuelectenerg-5933	69	21	:	:	PUNCT
fuelectenerg-5933	69	22	n	n	PROPN
fuelectenerg-5933	69	23	=	=	SYM
fuelectenerg-5933	69	24	1	1	NUM
fuelectenerg-5933	69	25	a	a	DET
fuelectenerg-5933	69	26	p	p	NOUN
fuelectenerg-5933	69	27	ln(a	ln(a	ADP
fuelectenerg-5933	69	28	p	p	PROPN
fuelectenerg-5933	69	29	z	z	PROPN
fuelectenerg-5933	69	30	+1	+1	PROPN
fuelectenerg-5933	69	31	)	)	PUNCT
fuelectenerg-5933	69	32	(	(	PUNCT
fuelectenerg-5933	69	33	7	7	X
fuelectenerg-5933	69	34	)	)	PUNCT
fuelectenerg-5933	69	35	z	z	NOUN
fuelectenerg-5933	70	1	=	=	SYM
fuelectenerg-5933	70	2	1	1	NUM
fuelectenerg-5933	70	3	a	a	DET
fuelectenerg-5933	70	4	p	p	X
fuelectenerg-5933	70	5	exp[(a	exp[(a	PROPN
fuelectenerg-5933	70	6	p	p	PROPN
fuelectenerg-5933	70	7	n	n	PROPN
fuelectenerg-5933	70	8	)	)	PUNCT
fuelectenerg-5933	70	9	-1	-1	ADP
fuelectenerg-5933	70	10	]	]	X
fuelectenerg-5933	70	11	(	(	PUNCT
fuelectenerg-5933	70	12	8)	8)	NUM
fuelectenerg-5933	70	13	for	for	ADP
fuelectenerg-5933	70	14	r1	r1	NOUN
fuelectenerg-5933	70	15	=	=	SYM
fuelectenerg-5933	70	16	r2	r2	PROPN
fuelectenerg-5933	70	17	,	,	PUNCT
fuelectenerg-5933	70	18	the	the	DET
fuelectenerg-5933	70	19	helix	helix	NOUN
fuelectenerg-5933	70	20	profile	profile	NOUN
fuelectenerg-5933	70	21	reduces	reduce	VERB
fuelectenerg-5933	70	22	to	to	ADP
fuelectenerg-5933	70	23	a	a	DET
fuelectenerg-5933	70	24	constant	constant	ADJ
fuelectenerg-5933	70	25	radius	radius	NOUN
fuelectenerg-5933	70	26	cylinder	cylinder	NOUN
fuelectenerg-5933	70	27	(	(	PUNCT
fuelectenerg-5933	70	28	ar	ar	NOUN
fuelectenerg-5933	70	29	=	=	PROPN
fuelectenerg-5933	70	30	kr	kr	PROPN
fuelectenerg-5933	70	31	=	=	SYM
fuelectenerg-5933	70	32	0	0	NUM
fuelectenerg-5933	70	33	)	)	PUNCT
fuelectenerg-5933	70	34	.	.	PUNCT
fuelectenerg-5933	71	1	for	for	ADP
fuelectenerg-5933	71	2	p1	p1	PROPN
fuelectenerg-5933	71	3	=	=	SYM
fuelectenerg-5933	71	4	p2	p2	PROPN
fuelectenerg-5933	71	5	,	,	PUNCT
fuelectenerg-5933	71	6	the	the	DET
fuelectenerg-5933	71	7	pitch	pitch	NOUN
fuelectenerg-5933	71	8	taper	taper	NOUN
fuelectenerg-5933	71	9	ap	ap	PROPN
fuelectenerg-5933	72	1	=	=	NOUN
fuelectenerg-5933	72	2	0	0	PROPN
fuelectenerg-5933	73	1	and	and	CCONJ
fuelectenerg-5933	73	2	the	the	DET
fuelectenerg-5933	73	3	helix	helix	NOUN
fuelectenerg-5933	73	4	winding	winding	NOUN
fuelectenerg-5933	73	5	has	have	VERB
fuelectenerg-5933	73	6	a	a	DET
fuelectenerg-5933	73	7	constant	constant	ADJ
fuelectenerg-5933	73	8	pitch	pitch	NOUN
fuelectenerg-5933	73	9	p	p	NOUN
fuelectenerg-5933	73	10	=	=	ADJ
fuelectenerg-5933	73	11	l	l	NOUN
fuelectenerg-5933	73	12	/	/	SYM
fuelectenerg-5933	73	13	ntot	ntot	NOUN
fuelectenerg-5933	73	14	=	=	SYM
fuelectenerg-5933	73	15	z	z	X
fuelectenerg-5933	73	16	/	/	SYM
fuelectenerg-5933	73	17	n.	n.	NOUN
fuelectenerg-5933	73	18	in	in	ADP
fuelectenerg-5933	73	19	that	that	DET
fuelectenerg-5933	73	20	case	case	NOUN
fuelectenerg-5933	73	21	,	,	PUNCT
fuelectenerg-5933	73	22	eqs	eqs	X
fuelectenerg-5933	73	23	(	(	PUNCT
fuelectenerg-5933	73	24	7	7	NUM
fuelectenerg-5933	73	25	)	)	PUNCT
fuelectenerg-5933	73	26	and	and	CCONJ
fuelectenerg-5933	73	27	(	(	PUNCT
fuelectenerg-5933	73	28	8)	8)	NUM
fuelectenerg-5933	73	29	reduce	reduce	VERB
fuelectenerg-5933	73	30	to	to	ADP
fuelectenerg-5933	73	31	n	n	NOUN
fuelectenerg-5933	73	32	=	=	SYM
fuelectenerg-5933	73	33	z	z	PROPN
fuelectenerg-5933	73	34	and	and	CCONJ
fuelectenerg-5933	73	35	z	z	NOUN
fuelectenerg-5933	73	36	=	=	SYM
fuelectenerg-5933	73	37	n.	n.	NOUN
fuelectenerg-5933	73	38	higher	high	ADJ
fuelectenerg-5933	73	39	-	-	PUNCT
fuelectenerg-5933	73	40	order	order	NOUN
fuelectenerg-5933	73	41	structural	structural	ADJ
fuelectenerg-5933	73	42	constraints	constraint	NOUN
fuelectenerg-5933	73	43	for	for	ADP
fuelectenerg-5933	73	44	improved	improved	ADJ
fuelectenerg-5933	73	45	optimization	optimization	NOUN
fuelectenerg-5933	73	46	of	of	ADP
fuelectenerg-5933	73	47	nonuniform	nonuniform	ADJ
fuelectenerg-5933	73	48	helical	helical	ADJ
fuelectenerg-5933	73	49	antennas	antenna	NOUN
fuelectenerg-5933	73	50	535	535	NUM
fuelectenerg-5933	73	51	2.2	2.2	NUM
fuelectenerg-5933	73	52	.	.	PUNCT
fuelectenerg-5933	74	1	limits	limit	NOUN
fuelectenerg-5933	74	2	for	for	ADP
fuelectenerg-5933	74	3	values	value	NOUN
fuelectenerg-5933	74	4	of	of	ADP
fuelectenerg-5933	74	5	the	the	DET
fuelectenerg-5933	74	6	coefficients	coefficient	NOUN
fuelectenerg-5933	74	7	k	k	PROPN
fuelectenerg-5933	74	8	eqs	eqs	X
fuelectenerg-5933	74	9	(	(	PUNCT
fuelectenerg-5933	74	10	1	1	NUM
fuelectenerg-5933	74	11	)	)	PUNCT
fuelectenerg-5933	74	12	and	and	CCONJ
fuelectenerg-5933	74	13	(	(	PUNCT
fuelectenerg-5933	74	14	2	2	X
fuelectenerg-5933	74	15	)	)	PUNCT
fuelectenerg-5933	74	16	are	be	AUX
fuelectenerg-5933	74	17	formulated	formulate	VERB
fuelectenerg-5933	74	18	to	to	PART
fuelectenerg-5933	74	19	produce	produce	VERB
fuelectenerg-5933	74	20	curves	curve	NOUN
fuelectenerg-5933	74	21	that	that	PRON
fuelectenerg-5933	74	22	pass	pass	VERB
fuelectenerg-5933	74	23	through	through	ADP
fuelectenerg-5933	74	24	specified	specify	VERB
fuelectenerg-5933	74	25	end	end	NOUN
fuelectenerg-5933	74	26	points	point	NOUN
fuelectenerg-5933	74	27	at	at	ADP
fuelectenerg-5933	74	28	z	z	PROPN
fuelectenerg-5933	74	29	=	=	SYM
fuelectenerg-5933	74	30	0	0	NUM
fuelectenerg-5933	74	31	and	and	CCONJ
fuelectenerg-5933	75	1	z	z	NOUN
fuelectenerg-5933	75	2	=	=	NOUN
fuelectenerg-5933	75	3	1	1	X
fuelectenerg-5933	75	4	.	.	PUNCT
fuelectenerg-5933	75	5	however	however	ADV
fuelectenerg-5933	75	6	,	,	PUNCT
fuelectenerg-5933	75	7	for	for	ADP
fuelectenerg-5933	75	8	certain	certain	ADJ
fuelectenerg-5933	75	9	values	value	NOUN
fuelectenerg-5933	75	10	of	of	ADP
fuelectenerg-5933	75	11	the	the	DET
fuelectenerg-5933	75	12	coefficient	coefficient	NOUN
fuelectenerg-5933	75	13	k	k	NOUN
fuelectenerg-5933	75	14	,	,	PUNCT
fuelectenerg-5933	75	15	they	they	PRON
fuelectenerg-5933	75	16	are	be	AUX
fuelectenerg-5933	75	17	capable	capable	ADJ
fuelectenerg-5933	75	18	of	of	ADP
fuelectenerg-5933	75	19	generating	generate	VERB
fuelectenerg-5933	75	20	negative	negative	ADJ
fuelectenerg-5933	75	21	values	value	NOUN
fuelectenerg-5933	75	22	of	of	ADP
fuelectenerg-5933	75	23	the	the	DET
fuelectenerg-5933	75	24	helix	helix	ADJ
fuelectenerg-5933	75	25	radius	radius	NOUN
fuelectenerg-5933	75	26	and	and	CCONJ
fuelectenerg-5933	75	27	pitch	pitch	NOUN
fuelectenerg-5933	75	28	in	in	ADP
fuelectenerg-5933	75	29	the	the	DET
fuelectenerg-5933	75	30	axial	axial	ADJ
fuelectenerg-5933	75	31	range	range	NOUN
fuelectenerg-5933	75	32	of	of	ADP
fuelectenerg-5933	75	33	interest	interest	NOUN
fuelectenerg-5933	75	34	0	0	NUM
fuelectenerg-5933	75	35	≤	≤	NUM
fuelectenerg-5933	75	36	z	z	NOUN
fuelectenerg-5933	75	37	≤	≤	NUM
fuelectenerg-5933	75	38	1	1	NUM
fuelectenerg-5933	75	39	.	.	PUNCT
fuelectenerg-5933	76	1	these	these	PRON
fuelectenerg-5933	76	2	correspond	correspond	VERB
fuelectenerg-5933	76	3	to	to	ADP
fuelectenerg-5933	76	4	physically	physically	ADV
fuelectenerg-5933	76	5	impossible	impossible	ADJ
fuelectenerg-5933	76	6	situations	situation	NOUN
fuelectenerg-5933	76	7	,	,	PUNCT
fuelectenerg-5933	76	8	so	so	SCONJ
fuelectenerg-5933	76	9	it	it	PRON
fuelectenerg-5933	76	10	is	be	AUX
fuelectenerg-5933	76	11	necessary	necessary	ADJ
fuelectenerg-5933	76	12	to	to	PART
fuelectenerg-5933	76	13	limit	limit	VERB
fuelectenerg-5933	76	14	the	the	DET
fuelectenerg-5933	76	15	range	range	NOUN
fuelectenerg-5933	76	16	of	of	ADP
fuelectenerg-5933	76	17	values	value	NOUN
fuelectenerg-5933	76	18	that	that	PRON
fuelectenerg-5933	76	19	k	k	PROPN
fuelectenerg-5933	76	20	may	may	AUX
fuelectenerg-5933	76	21	assume	assume	VERB
fuelectenerg-5933	76	22	.	.	PUNCT
fuelectenerg-5933	77	1	the	the	DET
fuelectenerg-5933	77	2	effect	effect	NOUN
fuelectenerg-5933	77	3	of	of	ADP
fuelectenerg-5933	77	4	the	the	DET
fuelectenerg-5933	77	5	radial	radial	ADJ
fuelectenerg-5933	77	6	curvature	curvature	NOUN
fuelectenerg-5933	77	7	coefficient	coefficient	NOUN
fuelectenerg-5933	77	8	is	be	AUX
fuelectenerg-5933	77	9	explored	explore	VERB
fuelectenerg-5933	77	10	first	first	ADV
fuelectenerg-5933	77	11	and	and	CCONJ
fuelectenerg-5933	77	12	the	the	DET
fuelectenerg-5933	77	13	results	result	NOUN
fuelectenerg-5933	77	14	extended	extend	VERB
fuelectenerg-5933	77	15	to	to	ADP
fuelectenerg-5933	77	16	the	the	DET
fuelectenerg-5933	77	17	pitch	pitch	NOUN
fuelectenerg-5933	77	18	curvature	curvature	NOUN
fuelectenerg-5933	77	19	.	.	PUNCT
fuelectenerg-5933	78	1	fig	fig	NOUN
fuelectenerg-5933	78	2	.	.	PUNCT
fuelectenerg-5933	79	1	5	5	NUM
fuelectenerg-5933	79	2	shows	show	VERB
fuelectenerg-5933	79	3	several	several	ADJ
fuelectenerg-5933	79	4	possible	possible	ADJ
fuelectenerg-5933	79	5	helix	helix	ADJ
fuelectenerg-5933	79	6	profiles	profile	NOUN
fuelectenerg-5933	79	7	that	that	PRON
fuelectenerg-5933	79	8	may	may	AUX
fuelectenerg-5933	79	9	be	be	AUX
fuelectenerg-5933	79	10	produced	produce	VERB
fuelectenerg-5933	79	11	by	by	ADP
fuelectenerg-5933	79	12	eq	eq	ADJ
fuelectenerg-5933	79	13	(	(	PUNCT
fuelectenerg-5933	79	14	1	1	NUM
fuelectenerg-5933	79	15	)	)	PUNCT
fuelectenerg-5933	79	16	.	.	PUNCT
fuelectenerg-5933	80	1	the	the	DET
fuelectenerg-5933	80	2	nondimensional	nondimensional	ADJ
fuelectenerg-5933	80	3	helix	helix	NOUN
fuelectenerg-5933	80	4	radius	radius	NOUN
fuelectenerg-5933	80	5	r	r	NOUN
fuelectenerg-5933	80	6	exhibits	exhibit	VERB
fuelectenerg-5933	80	7	a	a	DET
fuelectenerg-5933	80	8	minimum	minimum	NOUN
fuelectenerg-5933	80	9	for	for	ADP
fuelectenerg-5933	80	10	kr	kr	PROPN
fuelectenerg-5933	80	11	>	>	X
fuelectenerg-5933	80	12	0	0	PUNCT
fuelectenerg-5933	81	1	(	(	PUNCT
fuelectenerg-5933	81	2	concave	concave	NOUN
fuelectenerg-5933	81	3	profile	profile	NOUN
fuelectenerg-5933	81	4	)	)	PUNCT
fuelectenerg-5933	81	5	and	and	CCONJ
fuelectenerg-5933	81	6	a	a	DET
fuelectenerg-5933	81	7	maximum	maximum	NOUN
fuelectenerg-5933	81	8	for	for	ADP
fuelectenerg-5933	81	9	kr	kr	PROPN
fuelectenerg-5933	81	10	<	<	X
fuelectenerg-5933	81	11	0	0	PUNCT
fuelectenerg-5933	81	12	(	(	PUNCT
fuelectenerg-5933	81	13	convex	convex	NOUN
fuelectenerg-5933	81	14	profile	profile	NOUN
fuelectenerg-5933	81	15	)	)	PUNCT
fuelectenerg-5933	81	16	.	.	PUNCT
fuelectenerg-5933	82	1	these	these	PRON
fuelectenerg-5933	82	2	occur	occur	VERB
fuelectenerg-5933	82	3	where	where	SCONJ
fuelectenerg-5933	82	4	the	the	DET
fuelectenerg-5933	82	5	slope	slope	NOUN
fuelectenerg-5933	82	6	dr	dr	PROPN
fuelectenerg-5933	82	7	/	/	PROPN
fuelectenerg-5933	82	8	dz	dz	NOUN
fuelectenerg-5933	82	9	=	=	SYM
fuelectenerg-5933	82	10	2krz	2krz	NUM
fuelectenerg-5933	82	11	+	+	CCONJ
fuelectenerg-5933	82	12	(	(	PUNCT
fuelectenerg-5933	82	13	ar	ar	PROPN
fuelectenerg-5933	82	14	–	–	PUNCT
fuelectenerg-5933	82	15	kr	kr	PROPN
fuelectenerg-5933	82	16	)	)	PUNCT
fuelectenerg-5933	82	17	=	=	SYM
fuelectenerg-5933	82	18	0	0	NUM
fuelectenerg-5933	82	19	and	and	CCONJ
fuelectenerg-5933	82	20	thus	thus	ADV
fuelectenerg-5933	82	21	a	a	DET
fuelectenerg-5933	82	22	formula	formula	NOUN
fuelectenerg-5933	82	23	for	for	ADP
fuelectenerg-5933	82	24	kr	kr	PROPN
fuelectenerg-5933	82	25	may	may	AUX
fuelectenerg-5933	82	26	be	be	AUX
fuelectenerg-5933	82	27	written	write	VERB
fuelectenerg-5933	82	28	:	:	PUNCT
fuelectenerg-5933	82	29	k	k	PROPN
fuelectenerg-5933	82	30	r	r	NOUN
fuelectenerg-5933	82	31	=	=	PUNCT
fuelectenerg-5933	82	32	a	a	DET
fuelectenerg-5933	82	33	r	r	NOUN
fuelectenerg-5933	82	34	12z	12z	X
fuelectenerg-5933	82	35	(	(	PUNCT
fuelectenerg-5933	82	36	9	9	NUM
fuelectenerg-5933	82	37	)	)	PUNCT
fuelectenerg-5933	82	38	the	the	DET
fuelectenerg-5933	82	39	curves	curve	NOUN
fuelectenerg-5933	82	40	for	for	ADP
fuelectenerg-5933	82	41	kr	kr	PROPN
fuelectenerg-5933	82	42	=	=	SYM
fuelectenerg-5933	82	43	+	+	NOUN
fuelectenerg-5933	82	44	ar	ar	NOUN
fuelectenerg-5933	82	45	and	and	CCONJ
fuelectenerg-5933	82	46	kr	kr	PROPN
fuelectenerg-5933	82	47	=	=	PROPN
fuelectenerg-5933	82	48	–	–	PUNCT
fuelectenerg-5933	82	49	ar	ar	PROPN
fuelectenerg-5933	82	50	have	have	VERB
fuelectenerg-5933	82	51	zero	zero	NUM
fuelectenerg-5933	82	52	slope	slope	NOUN
fuelectenerg-5933	82	53	at	at	ADP
fuelectenerg-5933	82	54	one	one	NUM
fuelectenerg-5933	82	55	of	of	ADP
fuelectenerg-5933	82	56	the	the	DET
fuelectenerg-5933	82	57	helix	helix	ADJ
fuelectenerg-5933	82	58	endpoints	endpoint	NOUN
fuelectenerg-5933	82	59	.	.	PUNCT
fuelectenerg-5933	83	1	these	these	DET
fuelectenerg-5933	83	2	curves	curve	NOUN
fuelectenerg-5933	83	3	bracket	bracket	VERB
fuelectenerg-5933	83	4	the	the	DET
fuelectenerg-5933	83	5	already	already	ADV
fuelectenerg-5933	83	6	optimized	optimize	VERB
fuelectenerg-5933	83	7	linear	linear	NOUN
fuelectenerg-5933	83	8	helix	helix	NOUN
fuelectenerg-5933	83	9	profile	profile	NOUN
fuelectenerg-5933	83	10	[	[	X
fuelectenerg-5933	83	11	9,10	9,10	X
fuelectenerg-5933	83	12	]	]	X
fuelectenerg-5933	83	13	and	and	CCONJ
fuelectenerg-5933	83	14	the	the	DET
fuelectenerg-5933	83	15	optimized	optimize	VERB
fuelectenerg-5933	83	16	parabolic	parabolic	NOUN
fuelectenerg-5933	83	17	shape	shape	NOUN
fuelectenerg-5933	83	18	will	will	AUX
fuelectenerg-5933	83	19	likely	likely	ADV
fuelectenerg-5933	83	20	lie	lie	VERB
fuelectenerg-5933	83	21	nearby	nearby	ADV
fuelectenerg-5933	83	22	,	,	PUNCT
fuelectenerg-5933	83	23	in	in	ADP
fuelectenerg-5933	83	24	the	the	DET
fuelectenerg-5933	83	25	range	range	NOUN
fuelectenerg-5933	83	26	–	–	PUNCT
fuelectenerg-5933	83	27	ar	ar	NOUN
fuelectenerg-5933	83	28	≤	≤	PROPN
fuelectenerg-5933	83	29	kr	kr	PROPN
fuelectenerg-5933	83	30	≤	≤	PROPN
fuelectenerg-5933	83	31	ar	ar	PROPN
fuelectenerg-5933	83	32	.	.	PUNCT
fuelectenerg-5933	84	1	it	it	PRON
fuelectenerg-5933	84	2	is	be	AUX
fuelectenerg-5933	84	3	noted	note	VERB
fuelectenerg-5933	84	4	that	that	SCONJ
fuelectenerg-5933	84	5	eq	eq	ADP
fuelectenerg-5933	84	6	.	.	PUNCT
fuelectenerg-5933	84	7	(	(	PUNCT
fuelectenerg-5933	84	8	9	9	NUM
fuelectenerg-5933	84	9	)	)	PUNCT
fuelectenerg-5933	84	10	has	have	VERB
fuelectenerg-5933	84	11	a	a	DET
fuelectenerg-5933	84	12	discontinuity	discontinuity	NOUN
fuelectenerg-5933	84	13	for	for	ADP
fuelectenerg-5933	84	14	z	z	NOUN
fuelectenerg-5933	84	15	=	=	SYM
fuelectenerg-5933	84	16	0.5	0.5	NUM
fuelectenerg-5933	84	17	and	and	CCONJ
fuelectenerg-5933	84	18	can	can	AUX
fuelectenerg-5933	84	19	only	only	ADV
fuelectenerg-5933	84	20	have	have	VERB
fuelectenerg-5933	84	21	physical	physical	ADJ
fuelectenerg-5933	84	22	meaning	meaning	NOUN
fuelectenerg-5933	84	23	if	if	SCONJ
fuelectenerg-5933	84	24	ar	ar	PROPN
fuelectenerg-5933	84	25	=	=	NOUN
fuelectenerg-5933	84	26	0	0	PUNCT
fuelectenerg-5933	84	27	also	also	ADV
fuelectenerg-5933	84	28	,	,	PUNCT
fuelectenerg-5933	84	29	i.e.	i.e.	X
fuelectenerg-5933	84	30	,	,	PUNCT
fuelectenerg-5933	84	31	the	the	DET
fuelectenerg-5933	84	32	helix	helix	ADJ
fuelectenerg-5933	84	33	radius	radius	NOUN
fuelectenerg-5933	84	34	has	have	VERB
fuelectenerg-5933	84	35	no	no	DET
fuelectenerg-5933	84	36	linear	linear	ADJ
fuelectenerg-5933	84	37	taper	taper	NOUN
fuelectenerg-5933	84	38	component	component	NOUN
fuelectenerg-5933	84	39	in	in	ADP
fuelectenerg-5933	84	40	this	this	DET
fuelectenerg-5933	84	41	case	case	NOUN
fuelectenerg-5933	84	42	.	.	PUNCT
fuelectenerg-5933	85	1	however	however	ADV
fuelectenerg-5933	85	2	,	,	PUNCT
fuelectenerg-5933	85	3	if	if	SCONJ
fuelectenerg-5933	85	4	kr	kr	PROPN
fuelectenerg-5933	85	5	>	>	X
fuelectenerg-5933	85	6	0	0	NUM
fuelectenerg-5933	85	7	is	be	AUX
fuelectenerg-5933	85	8	too	too	ADV
fuelectenerg-5933	85	9	large	large	ADJ
fuelectenerg-5933	85	10	,	,	PUNCT
fuelectenerg-5933	85	11	eq	eq	NOUN
fuelectenerg-5933	85	12	.	.	PUNCT
fuelectenerg-5933	86	1	(	(	PUNCT
fuelectenerg-5933	86	2	1	1	X
fuelectenerg-5933	86	3	)	)	PUNCT
fuelectenerg-5933	86	4	will	will	AUX
fuelectenerg-5933	86	5	generate	generate	VERB
fuelectenerg-5933	86	6	negative	negative	ADJ
fuelectenerg-5933	86	7	values	value	NOUN
fuelectenerg-5933	86	8	for	for	ADP
fuelectenerg-5933	86	9	the	the	DET
fuelectenerg-5933	86	10	helix	helix	ADJ
fuelectenerg-5933	86	11	radius	radius	NOUN
fuelectenerg-5933	86	12	.	.	PUNCT
fuelectenerg-5933	87	1	the	the	DET
fuelectenerg-5933	87	2	constraint	constraint	NOUN
fuelectenerg-5933	87	3	condition	condition	NOUN
fuelectenerg-5933	87	4	may	may	AUX
fuelectenerg-5933	87	5	be	be	AUX
fuelectenerg-5933	87	6	written	write	VERB
fuelectenerg-5933	87	7	as	as	ADP
fuelectenerg-5933	87	8	r	r	NOUN
fuelectenerg-5933	87	9	≥	≥	NOUN
fuelectenerg-5933	87	10	0	0	NUM
fuelectenerg-5933	87	11	in	in	ADP
fuelectenerg-5933	87	12	the	the	DET
fuelectenerg-5933	87	13	range	range	NOUN
fuelectenerg-5933	87	14	0	0	NUM
fuelectenerg-5933	87	15	≤	≤	NUM
fuelectenerg-5933	87	16	z	z	NOUN
fuelectenerg-5933	87	17	≤	≤	NUM
fuelectenerg-5933	87	18	1	1	NUM
fuelectenerg-5933	87	19	.	.	PUNCT
fuelectenerg-5933	87	20	by	by	ADP
fuelectenerg-5933	87	21	rearranging	rearrange	VERB
fuelectenerg-5933	87	22	eq	eq	ADP
fuelectenerg-5933	87	23	.	.	PUNCT
fuelectenerg-5933	88	1	(	(	PUNCT
fuelectenerg-5933	88	2	9	9	X
fuelectenerg-5933	88	3	)	)	PUNCT
fuelectenerg-5933	88	4	we	we	PRON
fuelectenerg-5933	88	5	obtain	obtain	VERB
fuelectenerg-5933	88	6	the	the	DET
fuelectenerg-5933	88	7	axial	axial	ADJ
fuelectenerg-5933	88	8	position	position	NOUN
fuelectenerg-5933	88	9	of	of	ADP
fuelectenerg-5933	88	10	the	the	DET
fuelectenerg-5933	88	11	parabola	parabola	PROPN
fuelectenerg-5933	88	12	minimum	minimum	NOUN
fuelectenerg-5933	88	13	,	,	PUNCT
fuelectenerg-5933	88	14	namely	namely	ADV
fuelectenerg-5933	88	15	z	z	NOUN
fuelectenerg-5933	88	16	=	=	SYM
fuelectenerg-5933	88	17	–	–	PUNCT
fuelectenerg-5933	88	18	(	(	PUNCT
fuelectenerg-5933	88	19	ar	ar	PROPN
fuelectenerg-5933	88	20	–	–	PUNCT
fuelectenerg-5933	88	21	kr)/2kr	kr)/2kr	PROPN
fuelectenerg-5933	88	22	,	,	PUNCT
fuelectenerg-5933	88	23	and	and	CCONJ
fuelectenerg-5933	88	24	substituting	substitute	VERB
fuelectenerg-5933	88	25	this	this	PRON
fuelectenerg-5933	88	26	into	into	ADP
fuelectenerg-5933	88	27	eq	eq	NOUN
fuelectenerg-5933	88	28	.	.	PUNCT
fuelectenerg-5933	89	1	(	(	PUNCT
fuelectenerg-5933	89	2	1	1	X
fuelectenerg-5933	89	3	)	)	PUNCT
fuelectenerg-5933	89	4	gives	give	VERB
fuelectenerg-5933	89	5	the	the	DET
fuelectenerg-5933	89	6	condition	condition	NOUN
fuelectenerg-5933	89	7	:	:	PUNCT
fuelectenerg-5933	89	8	1	1	NUM
fuelectenerg-5933	89	9	2	2	NUM
fuelectenerg-5933	89	10	(	(	PUNCT
fuelectenerg-5933	89	11	)	)	PUNCT
fuelectenerg-5933	89	12	(	(	PUNCT
fuelectenerg-5933	89	13	)	)	PUNCT
fuelectenerg-5933	89	14	0r	0r	PROPN
fuelectenerg-5933	90	1	rk	rk	VERB
fuelectenerg-5933	90	2	q	q	PROPN
fuelectenerg-5933	91	1	k	k	PROPN
fuelectenerg-5933	91	2	q−	q−	PROPN
fuelectenerg-5933	91	3	−	−	PROPN
fuelectenerg-5933	91	4	−	−	PROPN
fuelectenerg-5933	91	5			NUM
fuelectenerg-5933	91	6	(	(	PUNCT
fuelectenerg-5933	91	7	10	10	NUM
fuelectenerg-5933	91	8	)	)	PUNCT
fuelectenerg-5933	91	9	where	where	SCONJ
fuelectenerg-5933	91	10	the	the	DET
fuelectenerg-5933	91	11	quadratic	quadratic	ADJ
fuelectenerg-5933	91	12	roots	root	NOUN
fuelectenerg-5933	91	13	are	be	AUX
fuelectenerg-5933	91	14	:	:	PUNCT
fuelectenerg-5933	91	15	fig	fig	NOUN
fuelectenerg-5933	91	16	.	.	PUNCT
fuelectenerg-5933	92	1	5	5	NUM
fuelectenerg-5933	92	2	helix	helix	ADJ
fuelectenerg-5933	92	3	profiles	profile	NOUN
fuelectenerg-5933	92	4	for	for	ADP
fuelectenerg-5933	92	5	ar	ar	NOUN
fuelectenerg-5933	92	6	=	=	NOUN
fuelectenerg-5933	92	7	1.2	1.2	NUM
fuelectenerg-5933	92	8	over	over	ADP
fuelectenerg-5933	92	9	a	a	DET
fuelectenerg-5933	92	10	range	range	NOUN
fuelectenerg-5933	92	11	of	of	ADP
fuelectenerg-5933	92	12	radius	radius	NOUN
fuelectenerg-5933	92	13	curvature	curvature	NOUN
fuelectenerg-5933	92	14	coefficients	coefficient	NOUN
fuelectenerg-5933	92	15	kr	kr	PROPN
fuelectenerg-5933	92	16	.	.	PUNCT
fuelectenerg-5933	92	17	q	q	PROPN
fuelectenerg-5933	93	1	1	1	NUM
fuelectenerg-5933	93	2	=	=	SYM
fuelectenerg-5933	93	3	(	(	PUNCT
fuelectenerg-5933	93	4	a	a	DET
fuelectenerg-5933	93	5	r	r	NOUN
fuelectenerg-5933	93	6	+	+	NOUN
fuelectenerg-5933	93	7	2)-2	2)-2	NUM
fuelectenerg-5933	93	8	a	a	DET
fuelectenerg-5933	93	9	r	r	NOUN
fuelectenerg-5933	93	10	+1	+1	NOUN
fuelectenerg-5933	93	11	(	(	PUNCT
fuelectenerg-5933	93	12	11	11	NUM
fuelectenerg-5933	93	13	)	)	PUNCT
fuelectenerg-5933	93	14	q	q	NOUN
fuelectenerg-5933	93	15	2	2	NUM
fuelectenerg-5933	93	16	=	=	SYM
fuelectenerg-5933	93	17	(	(	PUNCT
fuelectenerg-5933	93	18	a	a	DET
fuelectenerg-5933	93	19	r	r	NOUN
fuelectenerg-5933	93	20	+2)+	+2)+	NOUN
fuelectenerg-5933	93	21	2	2	NUM
fuelectenerg-5933	93	22	a	a	DET
fuelectenerg-5933	93	23	r	r	NOUN
fuelectenerg-5933	93	24	+1	+1	NOUN
fuelectenerg-5933	93	25	(	(	PUNCT
fuelectenerg-5933	93	26	12	12	NUM
fuelectenerg-5933	93	27	)	)	PUNCT
fuelectenerg-5933	93	28	536	536	NUM
fuelectenerg-5933	93	29	g.	g.	PROPN
fuelectenerg-5933	93	30	e.	e.	PROPN
fuelectenerg-5933	93	31	innes	innes	PROPN
fuelectenerg-5933	93	32	from	from	ADP
fuelectenerg-5933	93	33	fig	fig	NOUN
fuelectenerg-5933	93	34	.	.	PUNCT
fuelectenerg-5933	94	1	5	5	NUM
fuelectenerg-5933	94	2	,	,	PUNCT
fuelectenerg-5933	94	3	it	it	PRON
fuelectenerg-5933	94	4	may	may	AUX
fuelectenerg-5933	94	5	be	be	AUX
fuelectenerg-5933	94	6	seen	see	VERB
fuelectenerg-5933	94	7	that	that	SCONJ
fuelectenerg-5933	94	8	a	a	DET
fuelectenerg-5933	94	9	minimum	minimum	NOUN
fuelectenerg-5933	94	10	in	in	ADP
fuelectenerg-5933	94	11	the	the	DET
fuelectenerg-5933	94	12	range	range	NOUN
fuelectenerg-5933	94	13	0	0	NUM
fuelectenerg-5933	94	14	≤	≤	NUM
fuelectenerg-5933	94	15	z	z	NOUN
fuelectenerg-5933	94	16	≤	≤	NUM
fuelectenerg-5933	94	17	1	1	NUM
fuelectenerg-5933	94	18	only	only	ADV
fuelectenerg-5933	94	19	occurs	occur	VERB
fuelectenerg-5933	94	20	for	for	ADP
fuelectenerg-5933	94	21	kr	kr	PROPN
fuelectenerg-5933	94	22	=	=	SYM
fuelectenerg-5933	94	23	q2	q2	PROPN
fuelectenerg-5933	94	24	,	,	PUNCT
fuelectenerg-5933	94	25	thus	thus	ADV
fuelectenerg-5933	94	26	eq	eq	ADP
fuelectenerg-5933	94	27	.	.	PUNCT
fuelectenerg-5933	95	1	(	(	PUNCT
fuelectenerg-5933	95	2	1	1	X
fuelectenerg-5933	95	3	)	)	PUNCT
fuelectenerg-5933	95	4	generates	generate	VERB
fuelectenerg-5933	95	5	positive	positive	ADJ
fuelectenerg-5933	95	6	values	value	NOUN
fuelectenerg-5933	95	7	when	when	SCONJ
fuelectenerg-5933	95	8	:	:	PUNCT
fuelectenerg-5933	95	9	k	k	X
fuelectenerg-5933	95	10	r	r	NOUN
fuelectenerg-5933	95	11	<	<	X
fuelectenerg-5933	95	12	q	q	PROPN
fuelectenerg-5933	95	13	2	2	NUM
fuelectenerg-5933	95	14	(	(	PUNCT
fuelectenerg-5933	95	15	13	13	NUM
fuelectenerg-5933	95	16	)	)	PUNCT
fuelectenerg-5933	95	17	it	it	PRON
fuelectenerg-5933	95	18	is	be	AUX
fuelectenerg-5933	95	19	noted	note	VERB
fuelectenerg-5933	95	20	that	that	SCONJ
fuelectenerg-5933	95	21	,	,	PUNCT
fuelectenerg-5933	95	22	by	by	ADP
fuelectenerg-5933	95	23	definition	definition	NOUN
fuelectenerg-5933	95	24	ar	ar	NOUN
fuelectenerg-5933	95	25	=	=	SYM
fuelectenerg-5933	95	26	(	(	PUNCT
fuelectenerg-5933	95	27	r2	r2	PROPN
fuelectenerg-5933	95	28	–	–	PUNCT
fuelectenerg-5933	95	29	r1)/r1	r1)/r1	NOUN
fuelectenerg-5933	95	30	and	and	CCONJ
fuelectenerg-5933	95	31	because	because	SCONJ
fuelectenerg-5933	95	32	r2	r2	PROPN
fuelectenerg-5933	95	33	must	must	AUX
fuelectenerg-5933	95	34	not	not	PART
fuelectenerg-5933	95	35	be	be	AUX
fuelectenerg-5933	95	36	negative	negative	ADJ
fuelectenerg-5933	95	37	,	,	PUNCT
fuelectenerg-5933	95	38	the	the	DET
fuelectenerg-5933	95	39	radius	radius	NOUN
fuelectenerg-5933	95	40	taper	taper	NOUN
fuelectenerg-5933	95	41	is	be	AUX
fuelectenerg-5933	95	42	confined	confine	VERB
fuelectenerg-5933	95	43	to	to	ADP
fuelectenerg-5933	95	44	the	the	DET
fuelectenerg-5933	95	45	range	range	NOUN
fuelectenerg-5933	95	46	–	–	PUNCT
fuelectenerg-5933	95	47	1	1	NUM
fuelectenerg-5933	95	48	≤	≤	NUM
fuelectenerg-5933	95	49	ar	ar	NOUN
fuelectenerg-5933	95	50	≤	≤	NOUN
fuelectenerg-5933	95	51	∞.	∞.	PROPN
fuelectenerg-5933	95	52	this	this	PRON
fuelectenerg-5933	95	53	avoids	avoid	VERB
fuelectenerg-5933	95	54	the	the	DET
fuelectenerg-5933	95	55	generation	generation	NOUN
fuelectenerg-5933	95	56	of	of	ADP
fuelectenerg-5933	95	57	complex	complex	ADJ
fuelectenerg-5933	95	58	values	value	NOUN
fuelectenerg-5933	95	59	by	by	ADP
fuelectenerg-5933	95	60	eqs	eqs	X
fuelectenerg-5933	95	61	(	(	PUNCT
fuelectenerg-5933	95	62	11	11	NUM
fuelectenerg-5933	95	63	)	)	PUNCT
fuelectenerg-5933	95	64	and	and	CCONJ
fuelectenerg-5933	95	65	(	(	PUNCT
fuelectenerg-5933	95	66	12	12	NUM
fuelectenerg-5933	95	67	)	)	PUNCT
fuelectenerg-5933	95	68	.	.	PUNCT
fuelectenerg-5933	96	1	regarding	regard	VERB
fuelectenerg-5933	96	2	the	the	DET
fuelectenerg-5933	96	3	pitch	pitch	NOUN
fuelectenerg-5933	96	4	curvature	curvature	NOUN
fuelectenerg-5933	96	5	,	,	PUNCT
fuelectenerg-5933	96	6	by	by	ADP
fuelectenerg-5933	96	7	substituting	substitute	VERB
fuelectenerg-5933	96	8	ap	ap	PROPN
fuelectenerg-5933	96	9	for	for	ADP
fuelectenerg-5933	96	10	ar	ar	PROPN
fuelectenerg-5933	96	11	in	in	ADP
fuelectenerg-5933	96	12	eqs	eqs	X
fuelectenerg-5933	96	13	(	(	PUNCT
fuelectenerg-5933	96	14	11	11	NUM
fuelectenerg-5933	96	15	)	)	PUNCT
fuelectenerg-5933	96	16	and	and	CCONJ
fuelectenerg-5933	96	17	(	(	PUNCT
fuelectenerg-5933	96	18	12	12	NUM
fuelectenerg-5933	96	19	)	)	PUNCT
fuelectenerg-5933	96	20	,	,	PUNCT
fuelectenerg-5933	96	21	the	the	DET
fuelectenerg-5933	96	22	comparable	comparable	ADJ
fuelectenerg-5933	96	23	condition	condition	NOUN
fuelectenerg-5933	96	24	for	for	ADP
fuelectenerg-5933	96	25	positive	positive	ADJ
fuelectenerg-5933	96	26	pitch	pitch	NOUN
fuelectenerg-5933	96	27	values	value	NOUN
fuelectenerg-5933	96	28	for	for	ADP
fuelectenerg-5933	96	29	eq	eq	NOUN
fuelectenerg-5933	96	30	.	.	PUNCT
fuelectenerg-5933	97	1	(	(	PUNCT
fuelectenerg-5933	97	2	2	2	X
fuelectenerg-5933	97	3	)	)	PUNCT
fuelectenerg-5933	97	4	is	be	AUX
fuelectenerg-5933	97	5	:	:	PUNCT
fuelectenerg-5933	97	6	k	k	X
fuelectenerg-5933	97	7	p	p	X
fuelectenerg-5933	97	8	<	<	X
fuelectenerg-5933	97	9	q	q	PROPN
fuelectenerg-5933	97	10	2	2	NUM
fuelectenerg-5933	97	11	(	(	PUNCT
fuelectenerg-5933	97	12	14	14	NUM
fuelectenerg-5933	97	13	)	)	PUNCT
fuelectenerg-5933	97	14	furthermore	furthermore	ADV
fuelectenerg-5933	97	15	,	,	PUNCT
fuelectenerg-5933	97	16	the	the	DET
fuelectenerg-5933	97	17	pitch	pitch	NOUN
fuelectenerg-5933	97	18	curvature	curvature	NOUN
fuelectenerg-5933	97	19	coefficient	coefficient	NOUN
fuelectenerg-5933	97	20	kp	kp	ADP
fuelectenerg-5933	97	21	<	<	X
fuelectenerg-5933	97	22	0	0	X
fuelectenerg-5933	97	23	can	can	AUX
fuelectenerg-5933	97	24	not	not	PART
fuelectenerg-5933	97	25	be	be	AUX
fuelectenerg-5933	97	26	too	too	ADV
fuelectenerg-5933	97	27	negative	negative	ADJ
fuelectenerg-5933	97	28	or	or	CCONJ
fuelectenerg-5933	97	29	it	it	PRON
fuelectenerg-5933	97	30	will	will	AUX
fuelectenerg-5933	97	31	reduce	reduce	VERB
fuelectenerg-5933	97	32	the	the	DET
fuelectenerg-5933	97	33	number	number	NOUN
fuelectenerg-5933	97	34	of	of	ADP
fuelectenerg-5933	97	35	turns	turn	NOUN
fuelectenerg-5933	97	36	in	in	ADP
fuelectenerg-5933	97	37	eq	eq	ADP
fuelectenerg-5933	97	38	.	.	PUNCT
fuelectenerg-5933	98	1	(	(	PUNCT
fuelectenerg-5933	98	2	3	3	X
fuelectenerg-5933	98	3	)	)	PUNCT
fuelectenerg-5933	98	4	to	to	ADP
fuelectenerg-5933	98	5	less	less	ADJ
fuelectenerg-5933	98	6	than	than	ADP
fuelectenerg-5933	98	7	a	a	DET
fuelectenerg-5933	98	8	desired	desire	VERB
fuelectenerg-5933	98	9	value	value	NOUN
fuelectenerg-5933	98	10	,	,	PUNCT
fuelectenerg-5933	98	11	typically	typically	ADV
fuelectenerg-5933	98	12	n	n	CCONJ
fuelectenerg-5933	98	13	=	=	SYM
fuelectenerg-5933	98	14	4	4	NUM
fuelectenerg-5933	98	15	.	.	PUNCT
fuelectenerg-5933	99	1	an	an	DET
fuelectenerg-5933	99	2	iterative	iterative	NOUN
fuelectenerg-5933	99	3	method	method	NOUN
fuelectenerg-5933	99	4	with	with	ADP
fuelectenerg-5933	99	5	z	z	NOUN
fuelectenerg-5933	99	6	=	=	SYM
fuelectenerg-5933	99	7	1	1	NUM
fuelectenerg-5933	99	8	,	,	PUNCT
fuelectenerg-5933	99	9	n	n	NOUN
fuelectenerg-5933	99	10	=	=	SYM
fuelectenerg-5933	99	11	4	4	NUM
fuelectenerg-5933	99	12	and	and	CCONJ
fuelectenerg-5933	99	13	fixed	fix	VERB
fuelectenerg-5933	99	14	values	value	NOUN
fuelectenerg-5933	99	15	of	of	ADP
fuelectenerg-5933	99	16	ap	ap	PROPN
fuelectenerg-5933	99	17	was	be	AUX
fuelectenerg-5933	99	18	used	use	VERB
fuelectenerg-5933	99	19	to	to	PART
fuelectenerg-5933	99	20	determine	determine	VERB
fuelectenerg-5933	99	21	the	the	DET
fuelectenerg-5933	99	22	kp	kp	PROPN
fuelectenerg-5933	99	23	values	value	NOUN
fuelectenerg-5933	99	24	for	for	ADP
fuelectenerg-5933	99	25	this	this	DET
fuelectenerg-5933	99	26	constraint	constraint	NOUN
fuelectenerg-5933	99	27	.	.	PUNCT
fuelectenerg-5933	100	1	for	for	ADP
fuelectenerg-5933	100	2	the	the	DET
fuelectenerg-5933	100	3	linearly	linearly	ADV
fuelectenerg-5933	100	4	optimized	optimize	VERB
fuelectenerg-5933	100	5	case	case	NOUN
fuelectenerg-5933	100	6	[	[	X
fuelectenerg-5933	100	7	9	9	NUM
fuelectenerg-5933	100	8	]	]	X
fuelectenerg-5933	100	9	p1	p1	PROPN
fuelectenerg-5933	100	10	/	/	SYM
fuelectenerg-5933	100	11	l	l	NOUN
fuelectenerg-5933	100	12	=	=	PUNCT
fuelectenerg-5933	100	13	17mm/750	17mm/750	NUM
fuelectenerg-5933	100	14	mm	mm	PROPN
fuelectenerg-5933	100	15	,	,	PUNCT
fuelectenerg-5933	100	16	the	the	DET
fuelectenerg-5933	100	17	resulting	result	VERB
fuelectenerg-5933	100	18	curve	curve	NOUN
fuelectenerg-5933	100	19	for	for	ADP
fuelectenerg-5933	100	20	kp	kp	PROPN
fuelectenerg-5933	100	21	versus	versus	ADP
fuelectenerg-5933	100	22	ap	ap	PROPN
fuelectenerg-5933	100	23	is	be	AUX
fuelectenerg-5933	100	24	plotted	plot	VERB
fuelectenerg-5933	100	25	in	in	ADP
fuelectenerg-5933	100	26	fig	fig	NOUN
fuelectenerg-5933	100	27	.	.	PUNCT
fuelectenerg-5933	101	1	6	6	NUM
fuelectenerg-5933	101	2	.	.	PUNCT
fuelectenerg-5933	102	1	this	this	PRON
fuelectenerg-5933	102	2	reveals	reveal	VERB
fuelectenerg-5933	102	3	the	the	DET
fuelectenerg-5933	102	4	lower	low	ADJ
fuelectenerg-5933	102	5	limit	limit	NOUN
fuelectenerg-5933	102	6	for	for	ADP
fuelectenerg-5933	102	7	kp	kp	PROPN
fuelectenerg-5933	102	8	is	be	AUX
fuelectenerg-5933	102	9	orders	order	NOUN
fuelectenerg-5933	102	10	of	of	ADP
fuelectenerg-5933	102	11	magnitude	magnitude	NOUN
fuelectenerg-5933	102	12	outside	outside	ADP
fuelectenerg-5933	102	13	of	of	ADP
fuelectenerg-5933	102	14	the	the	DET
fuelectenerg-5933	102	15	range	range	NOUN
fuelectenerg-5933	102	16	of	of	ADP
fuelectenerg-5933	102	17	interest	interest	NOUN
fuelectenerg-5933	102	18	here	here	ADV
fuelectenerg-5933	102	19	.	.	PUNCT
fuelectenerg-5933	103	1	the	the	DET
fuelectenerg-5933	103	2	nonlinear	nonlinear	ADJ
fuelectenerg-5933	103	3	equations	equation	NOUN
fuelectenerg-5933	103	4	presented	present	VERB
fuelectenerg-5933	103	5	elsewhere	elsewhere	ADV
fuelectenerg-5933	103	6	in	in	ADP
fuelectenerg-5933	103	7	this	this	DET
fuelectenerg-5933	103	8	paper	paper	NOUN
fuelectenerg-5933	103	9	also	also	ADV
fuelectenerg-5933	103	10	require	require	VERB
fuelectenerg-5933	103	11	an	an	DET
fuelectenerg-5933	103	12	iterative	iterative	NOUN
fuelectenerg-5933	103	13	solution	solution	NOUN
fuelectenerg-5933	103	14	to	to	PART
fuelectenerg-5933	103	15	determine	determine	VERB
fuelectenerg-5933	103	16	limits	limit	NOUN
fuelectenerg-5933	103	17	for	for	ADP
fuelectenerg-5933	103	18	values	value	NOUN
fuelectenerg-5933	103	19	of	of	ADP
fuelectenerg-5933	103	20	the	the	DET
fuelectenerg-5933	103	21	curvature	curvature	NOUN
fuelectenerg-5933	103	22	coefficients	coefficient	NOUN
fuelectenerg-5933	103	23	.	.	PUNCT
fuelectenerg-5933	104	1	a	a	DET
fuelectenerg-5933	104	2	practical	practical	ADJ
fuelectenerg-5933	104	3	step	step	NOUN
fuelectenerg-5933	104	4	in	in	ADP
fuelectenerg-5933	104	5	an	an	DET
fuelectenerg-5933	104	6	optimization	optimization	NOUN
fuelectenerg-5933	104	7	algorithm	algorithm	NOUN
fuelectenerg-5933	104	8	might	might	AUX
fuelectenerg-5933	104	9	be	be	AUX
fuelectenerg-5933	104	10	simply	simply	ADV
fuelectenerg-5933	104	11	to	to	PART
fuelectenerg-5933	104	12	check	check	VERB
fuelectenerg-5933	104	13	for	for	ADP
fuelectenerg-5933	104	14	negative	negative	ADJ
fuelectenerg-5933	104	15	values	value	NOUN
fuelectenerg-5933	104	16	of	of	ADP
fuelectenerg-5933	104	17	r	r	NOUN
fuelectenerg-5933	104	18	and	and	CCONJ
fuelectenerg-5933	104	19	p	p	NOUN
fuelectenerg-5933	104	20	every	every	DET
fuelectenerg-5933	104	21	time	time	NOUN
fuelectenerg-5933	104	22	the	the	DET
fuelectenerg-5933	104	23	structural	structural	ADJ
fuelectenerg-5933	104	24	dimensions	dimension	NOUN
fuelectenerg-5933	104	25	are	be	AUX
fuelectenerg-5933	104	26	recalculated	recalculate	VERB
fuelectenerg-5933	104	27	.	.	PUNCT
fuelectenerg-5933	105	1	2.3	2.3	NUM
fuelectenerg-5933	105	2	.	.	PUNCT
fuelectenerg-5933	105	3	optimized	optimize	VERB
fuelectenerg-5933	105	4	yagi	yagi	ADJ
fuelectenerg-5933	105	5	-	-	PUNCT
fuelectenerg-5933	105	6	uda	uda	NOUN
fuelectenerg-5933	105	7	test	test	NOUN
fuelectenerg-5933	105	8	case	case	NOUN
fuelectenerg-5933	105	9	the	the	DET
fuelectenerg-5933	105	10	yagi	yagi	ADJ
fuelectenerg-5933	105	11	-	-	PUNCT
fuelectenerg-5933	105	12	uda	uda	NOUN
fuelectenerg-5933	105	13	antenna	antenna	NOUN
fuelectenerg-5933	105	14	has	have	VERB
fuelectenerg-5933	105	15	a	a	DET
fuelectenerg-5933	105	16	nominally	nominally	ADV
fuelectenerg-5933	105	17	comparable	comparable	ADJ
fuelectenerg-5933	105	18	structure	structure	NOUN
fuelectenerg-5933	105	19	to	to	ADP
fuelectenerg-5933	105	20	the	the	DET
fuelectenerg-5933	105	21	helical	helical	ADJ
fuelectenerg-5933	105	22	antenna	antenna	NOUN
fuelectenerg-5933	105	23	;	;	PUNCT
fuelectenerg-5933	105	24	hence	hence	ADV
fuelectenerg-5933	105	25	by	by	ADP
fuelectenerg-5933	105	26	studying	study	VERB
fuelectenerg-5933	105	27	optimized	optimize	VERB
fuelectenerg-5933	105	28	versions	version	NOUN
fuelectenerg-5933	105	29	of	of	ADP
fuelectenerg-5933	105	30	the	the	DET
fuelectenerg-5933	105	31	former	former	ADJ
fuelectenerg-5933	105	32	,	,	PUNCT
fuelectenerg-5933	105	33	it	it	PRON
fuelectenerg-5933	105	34	may	may	AUX
fuelectenerg-5933	105	35	be	be	AUX
fuelectenerg-5933	105	36	possible	possible	ADJ
fuelectenerg-5933	105	37	to	to	PART
fuelectenerg-5933	105	38	improve	improve	VERB
fuelectenerg-5933	105	39	the	the	DET
fuelectenerg-5933	105	40	design	design	NOUN
fuelectenerg-5933	105	41	of	of	ADP
fuelectenerg-5933	105	42	the	the	DET
fuelectenerg-5933	105	43	latter	latter	ADJ
fuelectenerg-5933	105	44	.	.	PUNCT
fuelectenerg-5933	106	1	the	the	DET
fuelectenerg-5933	106	2	data	datum	NOUN
fuelectenerg-5933	106	3	for	for	ADP
fuelectenerg-5933	106	4	a	a	DET
fuelectenerg-5933	106	5	15	15	NUM
fuelectenerg-5933	106	6	-	-	PUNCT
fuelectenerg-5933	106	7	element	element	NOUN
fuelectenerg-5933	106	8	yagi	yagi	ADJ
fuelectenerg-5933	106	9	-	-	PUNCT
fuelectenerg-5933	106	10	uda	uda	NOUN
fuelectenerg-5933	106	11	antenna	antenna	NOUN
fuelectenerg-5933	106	12	optimized	optimize	VERB
fuelectenerg-5933	106	13	for	for	ADP
fuelectenerg-5933	106	14	gain	gain	NOUN
fuelectenerg-5933	106	15	were	be	AUX
fuelectenerg-5933	106	16	produced	produce	VERB
fuelectenerg-5933	106	17	with	with	ADP
fuelectenerg-5933	106	18	a	a	DET
fuelectenerg-5933	106	19	method	method	NOUN
fuelectenerg-5933	106	20	-	-	PUNCT
fuelectenerg-5933	106	21	of	of	ADP
fuelectenerg-5933	106	22	-	-	PUNCT
fuelectenerg-5933	106	23	moments	moment	NOUN
fuelectenerg-5933	106	24	solution	solution	NOUN
fuelectenerg-5933	106	25	[	[	X
fuelectenerg-5933	106	26	11	11	NUM
fuelectenerg-5933	106	27	]	]	PUNCT
fuelectenerg-5933	106	28	embodied	embody	VERB
fuelectenerg-5933	106	29	in	in	ADP
fuelectenerg-5933	106	30	a	a	DET
fuelectenerg-5933	106	31	java	java	NOUN
fuelectenerg-5933	106	32	applet	applet	NOUN
fuelectenerg-5933	107	1	[	[	X
fuelectenerg-5933	107	2	6,7	6,7	NUM
fuelectenerg-5933	107	3	]	]	PUNCT
fuelectenerg-5933	107	4	and	and	CCONJ
fuelectenerg-5933	107	5	the	the	DET
fuelectenerg-5933	107	6	results	result	NOUN
fuelectenerg-5933	107	7	posted	post	VERB
fuelectenerg-5933	107	8	on	on	ADP
fuelectenerg-5933	107	9	the	the	DET
fuelectenerg-5933	107	10	internet	internet	NOUN
fuelectenerg-5933	108	1	[	[	X
fuelectenerg-5933	108	2	12	12	NUM
fuelectenerg-5933	108	3	]	]	PUNCT
fuelectenerg-5933	108	4	.	.	PUNCT
fuelectenerg-5933	109	1	curve	curve	NOUN
fuelectenerg-5933	109	2	-	-	PUNCT
fuelectenerg-5933	109	3	fitting	fit	VERB
fuelectenerg-5933	109	4	these	these	DET
fuelectenerg-5933	109	5	data	datum	NOUN
fuelectenerg-5933	109	6	with	with	ADP
fuelectenerg-5933	109	7	the	the	DET
fuelectenerg-5933	109	8	form	form	NOUN
fuelectenerg-5933	109	9	of	of	ADP
fuelectenerg-5933	109	10	equations	equation	NOUN
fuelectenerg-5933	109	11	for	for	ADP
fuelectenerg-5933	109	12	the	the	DET
fuelectenerg-5933	109	13	helical	helical	ADJ
fuelectenerg-5933	109	14	antenna	antenna	NOUN
fuelectenerg-5933	109	15	,	,	PUNCT
fuelectenerg-5933	109	16	an	an	DET
fuelectenerg-5933	109	17	analogy	analogy	NOUN
fuelectenerg-5933	109	18	may	may	AUX
fuelectenerg-5933	109	19	be	be	AUX
fuelectenerg-5933	109	20	developed	develop	VERB
fuelectenerg-5933	109	21	.	.	PUNCT
fuelectenerg-5933	110	1	fig	fig	NOUN
fuelectenerg-5933	110	2	.	.	PUNCT
fuelectenerg-5933	111	1	6	6	NUM
fuelectenerg-5933	111	2	variation	variation	NOUN
fuelectenerg-5933	111	3	of	of	ADP
fuelectenerg-5933	111	4	kp	kp	PROPN
fuelectenerg-5933	111	5	with	with	ADP
fuelectenerg-5933	111	6	ap	ap	PROPN
fuelectenerg-5933	111	7	,	,	PUNCT
fuelectenerg-5933	111	8	where	where	SCONJ
fuelectenerg-5933	111	9	p1	p1	NOUN
fuelectenerg-5933	111	10	/	/	SYM
fuelectenerg-5933	111	11	l	l	NOUN
fuelectenerg-5933	111	12	=	=	SYM
fuelectenerg-5933	111	13	0.0227	0.0227	NUM
fuelectenerg-5933	111	14	,	,	PUNCT
fuelectenerg-5933	111	15	to	to	PART
fuelectenerg-5933	111	16	produce	produce	VERB
fuelectenerg-5933	111	17	a	a	DET
fuelectenerg-5933	111	18	helix	helix	NOUN
fuelectenerg-5933	111	19	with	with	ADP
fuelectenerg-5933	111	20	n	n	NOUN
fuelectenerg-5933	111	21	=	=	SYM
fuelectenerg-5933	111	22	4	4	NUM
fuelectenerg-5933	111	23	turns	turn	NOUN
fuelectenerg-5933	111	24	.	.	PUNCT
fuelectenerg-5933	112	1	higher	high	ADJ
fuelectenerg-5933	112	2	-	-	PUNCT
fuelectenerg-5933	112	3	order	order	NOUN
fuelectenerg-5933	112	4	structural	structural	ADJ
fuelectenerg-5933	112	5	constraints	constraint	NOUN
fuelectenerg-5933	112	6	for	for	ADP
fuelectenerg-5933	112	7	improved	improved	ADJ
fuelectenerg-5933	112	8	optimization	optimization	NOUN
fuelectenerg-5933	112	9	of	of	ADP
fuelectenerg-5933	112	10	nonuniform	nonuniform	ADJ
fuelectenerg-5933	112	11	helical	helical	ADJ
fuelectenerg-5933	112	12	antennas	antenna	NOUN
fuelectenerg-5933	112	13	537	537	NUM
fuelectenerg-5933	112	14	table	table	NOUN
fuelectenerg-5933	112	15	1	1	NUM
fuelectenerg-5933	112	16	lists	list	VERB
fuelectenerg-5933	112	17	the	the	DET
fuelectenerg-5933	112	18	equivalent	equivalent	ADJ
fuelectenerg-5933	112	19	parameters	parameter	NOUN
fuelectenerg-5933	112	20	used	use	VERB
fuelectenerg-5933	112	21	when	when	SCONJ
fuelectenerg-5933	112	22	comparing	compare	VERB
fuelectenerg-5933	112	23	the	the	DET
fuelectenerg-5933	112	24	two	two	NUM
fuelectenerg-5933	112	25	antenna	antenna	NOUN
fuelectenerg-5933	112	26	designs	design	NOUN
fuelectenerg-5933	112	27	.	.	PUNCT
fuelectenerg-5933	113	1	the	the	DET
fuelectenerg-5933	113	2	two	two	NUM
fuelectenerg-5933	113	3	structures	structure	NOUN
fuelectenerg-5933	113	4	are	be	AUX
fuelectenerg-5933	113	5	also	also	ADV
fuelectenerg-5933	113	6	depicted	depict	VERB
fuelectenerg-5933	113	7	in	in	ADP
fuelectenerg-5933	113	8	fig	fig	NOUN
fuelectenerg-5933	113	9	.	.	PUNCT
fuelectenerg-5933	114	1	7	7	X
fuelectenerg-5933	114	2	.	.	X
fuelectenerg-5933	114	3	the	the	DET
fuelectenerg-5933	114	4	yagi	yagi	ADJ
fuelectenerg-5933	114	5	-	-	PUNCT
fuelectenerg-5933	114	6	uda	uda	NOUN
fuelectenerg-5933	114	7	design	design	NOUN
fuelectenerg-5933	114	8	features	feature	VERB
fuelectenerg-5933	114	9	a	a	DET
fuelectenerg-5933	114	10	series	series	NOUN
fuelectenerg-5933	114	11	of	of	ADP
fuelectenerg-5933	114	12	discrete	discrete	ADJ
fuelectenerg-5933	114	13	linear	linear	ADJ
fuelectenerg-5933	114	14	elements	element	NOUN
fuelectenerg-5933	114	15	positioned	position	VERB
fuelectenerg-5933	114	16	perpendicular	perpendicular	NOUN
fuelectenerg-5933	114	17	to	to	ADP
fuelectenerg-5933	114	18	the	the	DET
fuelectenerg-5933	114	19	z	z	NOUN
fuelectenerg-5933	114	20	axis	axis	NOUN
fuelectenerg-5933	114	21	,	,	PUNCT
fuelectenerg-5933	114	22	while	while	SCONJ
fuelectenerg-5933	114	23	the	the	DET
fuelectenerg-5933	114	24	helical	helical	ADJ
fuelectenerg-5933	114	25	design	design	NOUN
fuelectenerg-5933	114	26	features	feature	VERB
fuelectenerg-5933	114	27	a	a	DET
fuelectenerg-5933	114	28	conductive	conductive	ADJ
fuelectenerg-5933	114	29	ground	ground	NOUN
fuelectenerg-5933	114	30	plane	plane	NOUN
fuelectenerg-5933	114	31	at	at	ADP
fuelectenerg-5933	114	32	z	z	PROPN
fuelectenerg-5933	114	33	=	=	SYM
fuelectenerg-5933	114	34	0	0	NUM
fuelectenerg-5933	114	35	plus	plus	CCONJ
fuelectenerg-5933	114	36	a	a	DET
fuelectenerg-5933	114	37	single	single	ADJ
fuelectenerg-5933	114	38	wire	wire	NOUN
fuelectenerg-5933	114	39	coiled	coil	VERB
fuelectenerg-5933	114	40	along	along	ADP
fuelectenerg-5933	114	41	the	the	DET
fuelectenerg-5933	114	42	z	z	NOUN
fuelectenerg-5933	114	43	axis	axis	NOUN
fuelectenerg-5933	114	44	.	.	PUNCT
fuelectenerg-5933	115	1	for	for	ADP
fuelectenerg-5933	115	2	consistency	consistency	NOUN
fuelectenerg-5933	115	3	,	,	PUNCT
fuelectenerg-5933	115	4	the	the	DET
fuelectenerg-5933	115	5	yagi	yagi	ADJ
fuelectenerg-5933	115	6	-	-	PUNCT
fuelectenerg-5933	115	7	uda	uda	NOUN
fuelectenerg-5933	115	8	elements	element	NOUN
fuelectenerg-5933	115	9	are	be	AUX
fuelectenerg-5933	115	10	numbered	number	VERB
fuelectenerg-5933	115	11	here	here	ADV
fuelectenerg-5933	115	12	as	as	SCONJ
fuelectenerg-5933	115	13	0	0	NUM
fuelectenerg-5933	115	14	-	-	SYM
fuelectenerg-5933	115	15	14	14	NUM
fuelectenerg-5933	115	16	and	and	CCONJ
fuelectenerg-5933	115	17	not	not	PART
fuelectenerg-5933	115	18	1	1	NUM
fuelectenerg-5933	115	19	-	-	SYM
fuelectenerg-5933	115	20	15	15	NUM
fuelectenerg-5933	115	21	as	as	SCONJ
fuelectenerg-5933	115	22	conventionally	conventionally	ADV
fuelectenerg-5933	115	23	done	do	VERB
fuelectenerg-5933	115	24	,	,	PUNCT
fuelectenerg-5933	115	25	so	so	SCONJ
fuelectenerg-5933	115	26	that	that	SCONJ
fuelectenerg-5933	115	27	the	the	DET
fuelectenerg-5933	115	28	reflectors	reflector	NOUN
fuelectenerg-5933	115	29	count	count	VERB
fuelectenerg-5933	115	30	as	as	ADP
fuelectenerg-5933	115	31	0	0	NUM
fuelectenerg-5933	115	32	in	in	ADP
fuelectenerg-5933	115	33	both	both	DET
fuelectenerg-5933	115	34	antenna	antenna	NOUN
fuelectenerg-5933	115	35	designs	design	NOUN
fuelectenerg-5933	115	36	.	.	PUNCT
fuelectenerg-5933	116	1	thus	thus	ADV
fuelectenerg-5933	116	2	ntot	ntot	VERB
fuelectenerg-5933	116	3	=	=	SYM
fuelectenerg-5933	116	4	14	14	NUM
fuelectenerg-5933	116	5	and	and	CCONJ
fuelectenerg-5933	116	6	the	the	DET
fuelectenerg-5933	116	7	normalized	normalize	VERB
fuelectenerg-5933	116	8	element	element	NOUN
fuelectenerg-5933	116	9	number	number	NOUN
fuelectenerg-5933	116	10	n	n	NOUN
fuelectenerg-5933	116	11	=	=	PUNCT
fuelectenerg-5933	116	12	n	n	CCONJ
fuelectenerg-5933	116	13	/	/	SYM
fuelectenerg-5933	116	14	ntot	ntot	NOUN
fuelectenerg-5933	116	15	,	,	PUNCT
fuelectenerg-5933	116	16	corresponds	correspond	VERB
fuelectenerg-5933	116	17	to	to	ADP
fuelectenerg-5933	116	18	the	the	DET
fuelectenerg-5933	116	19	helical	helical	ADJ
fuelectenerg-5933	116	20	normalized	normalize	VERB
fuelectenerg-5933	116	21	turn	turn	NOUN
fuelectenerg-5933	116	22	number	number	NOUN
fuelectenerg-5933	116	23	n	n	NOUN
fuelectenerg-5933	116	24	,	,	PUNCT
fuelectenerg-5933	116	25	where	where	SCONJ
fuelectenerg-5933	116	26	0	0	NUM
fuelectenerg-5933	116	27	≤	≤	NOUN
fuelectenerg-5933	116	28	n	n	CCONJ
fuelectenerg-5933	116	29	≤	≤	NOUN
fuelectenerg-5933	116	30	1	1	NUM
fuelectenerg-5933	116	31	.	.	PUNCT
fuelectenerg-5933	117	1	the	the	DET
fuelectenerg-5933	117	2	optimized	optimize	VERB
fuelectenerg-5933	117	3	yagi	yagi	ADJ
fuelectenerg-5933	117	4	-	-	PUNCT
fuelectenerg-5933	117	5	uda	uda	NOUN
fuelectenerg-5933	117	6	antenna	antenna	NOUN
fuelectenerg-5933	117	7	here	here	ADV
fuelectenerg-5933	117	8	consists	consist	VERB
fuelectenerg-5933	117	9	of	of	ADP
fuelectenerg-5933	117	10	14	14	NUM
fuelectenerg-5933	117	11	parasitic	parasitic	ADJ
fuelectenerg-5933	117	12	or	or	CCONJ
fuelectenerg-5933	117	13	passive	passive	ADJ
fuelectenerg-5933	117	14	elements	element	NOUN
fuelectenerg-5933	117	15	and	and	CCONJ
fuelectenerg-5933	117	16	one	one	NUM
fuelectenerg-5933	117	17	driven	drive	VERB
fuelectenerg-5933	117	18	element	element	NOUN
fuelectenerg-5933	117	19	(	(	PUNCT
fuelectenerg-5933	117	20	#	#	SYM
fuelectenerg-5933	117	21	1	1	NUM
fuelectenerg-5933	117	22	)	)	PUNCT
fuelectenerg-5933	117	23	.	.	PUNCT
fuelectenerg-5933	118	1	data	datum	NOUN
fuelectenerg-5933	118	2	points	point	NOUN
fuelectenerg-5933	118	3	for	for	ADP
fuelectenerg-5933	118	4	this	this	DET
fuelectenerg-5933	118	5	element	element	NOUN
fuelectenerg-5933	118	6	and	and	CCONJ
fuelectenerg-5933	118	7	the	the	DET
fuelectenerg-5933	118	8	reflector	reflector	NOUN
fuelectenerg-5933	118	9	(	(	PUNCT
fuelectenerg-5933	118	10	#	#	SYM
fuelectenerg-5933	118	11	0	0	NUM
fuelectenerg-5933	118	12	)	)	PUNCT
fuelectenerg-5933	118	13	were	be	AUX
fuelectenerg-5933	118	14	included	include	VERB
fuelectenerg-5933	118	15	in	in	ADP
fuelectenerg-5933	118	16	the	the	DET
fuelectenerg-5933	118	17	calculations	calculation	NOUN
fuelectenerg-5933	118	18	for	for	ADP
fuelectenerg-5933	118	19	the	the	DET
fuelectenerg-5933	118	20	best	good	ADJ
fuelectenerg-5933	118	21	-	-	PUNCT
fuelectenerg-5933	118	22	fit	fit	ADJ
fuelectenerg-5933	118	23	coefficients	coefficient	NOUN
fuelectenerg-5933	118	24	although	although	SCONJ
fuelectenerg-5933	118	25	they	they	PRON
fuelectenerg-5933	118	26	do	do	AUX
fuelectenerg-5933	118	27	not	not	PART
fuelectenerg-5933	118	28	always	always	ADV
fuelectenerg-5933	118	29	fit	fit	VERB
fuelectenerg-5933	118	30	well	well	ADV
fuelectenerg-5933	118	31	with	with	ADP
fuelectenerg-5933	118	32	the	the	DET
fuelectenerg-5933	118	33	overall	overall	ADJ
fuelectenerg-5933	118	34	pattern	pattern	NOUN
fuelectenerg-5933	118	35	of	of	ADP
fuelectenerg-5933	118	36	the	the	DET
fuelectenerg-5933	118	37	helical	helical	ADJ
fuelectenerg-5933	118	38	equations	equation	NOUN
fuelectenerg-5933	118	39	.	.	PUNCT
fuelectenerg-5933	119	1	table	table	NOUN
fuelectenerg-5933	119	2	1	1	NUM
fuelectenerg-5933	119	3	equivalent	equivalent	ADJ
fuelectenerg-5933	119	4	non	non	ADJ
fuelectenerg-5933	119	5	-	-	ADJ
fuelectenerg-5933	119	6	dimensional	dimensional	ADJ
fuelectenerg-5933	119	7	parameters	parameter	NOUN
fuelectenerg-5933	119	8	for	for	ADP
fuelectenerg-5933	119	9	helical	helical	ADJ
fuelectenerg-5933	119	10	and	and	CCONJ
fuelectenerg-5933	119	11	yagi	yagi	ADJ
fuelectenerg-5933	119	12	-	-	PUNCT
fuelectenerg-5933	119	13	uda	uda	NOUN
fuelectenerg-5933	119	14	antennas	antenna	NOUN
fuelectenerg-5933	119	15	.	.	PUNCT
fuelectenerg-5933	120	1	helix	helix	ADJ
fuelectenerg-5933	120	2	parameter	parameter	NOUN
fuelectenerg-5933	120	3	yagi	yagi	ADJ
fuelectenerg-5933	120	4	parameter	parameter	NOUN
fuelectenerg-5933	120	5	axial	axial	ADJ
fuelectenerg-5933	120	6	distance	distance	NOUN
fuelectenerg-5933	120	7	from	from	ADP
fuelectenerg-5933	120	8	reflector	reflector	NOUN
fuelectenerg-5933	120	9	,	,	PUNCT
fuelectenerg-5933	120	10	z	z	NOUN
fuelectenerg-5933	120	11	axial	axial	ADJ
fuelectenerg-5933	120	12	distance	distance	NOUN
fuelectenerg-5933	120	13	from	from	ADP
fuelectenerg-5933	120	14	reflector	reflector	NOUN
fuelectenerg-5933	120	15	,	,	PUNCT
fuelectenerg-5933	120	16	z	z	NOUN
fuelectenerg-5933	120	17	helix	helix	NOUN
fuelectenerg-5933	120	18	radius	radius	NOUN
fuelectenerg-5933	120	19	for	for	ADP
fuelectenerg-5933	120	20	1	1	NUM
fuelectenerg-5933	120	21	turn	turn	NOUN
fuelectenerg-5933	120	22	,	,	PUNCT
fuelectenerg-5933	120	23	r	r	NOUN
fuelectenerg-5933	120	24	element	element	NOUN
fuelectenerg-5933	120	25	length	length	NOUN
fuelectenerg-5933	120	26	,	,	PUNCT
fuelectenerg-5933	120	27	r	r	NOUN
fuelectenerg-5933	120	28	helix	helix	NOUN
fuelectenerg-5933	120	29	pitch	pitch	NOUN
fuelectenerg-5933	120	30	for	for	ADP
fuelectenerg-5933	120	31	1	1	NUM
fuelectenerg-5933	120	32	turn	turn	NOUN
fuelectenerg-5933	120	33	,	,	PUNCT
fuelectenerg-5933	120	34	p	p	PRON
fuelectenerg-5933	120	35	element	element	NOUN
fuelectenerg-5933	120	36	spacing	spacing	NOUN
fuelectenerg-5933	120	37	,	,	PUNCT
fuelectenerg-5933	120	38	p	p	PRON
fuelectenerg-5933	120	39	normalized	normalize	VERB
fuelectenerg-5933	120	40	turn	turn	NOUN
fuelectenerg-5933	120	41	number	number	NOUN
fuelectenerg-5933	120	42	,	,	PUNCT
fuelectenerg-5933	120	43	n	n	PRON
fuelectenerg-5933	120	44	normalized	normalize	VERB
fuelectenerg-5933	120	45	element	element	ADJ
fuelectenerg-5933	120	46	number	number	NOUN
fuelectenerg-5933	120	47	,	,	PUNCT
fuelectenerg-5933	120	48	n	n	PRON
fuelectenerg-5933	120	49	fig	fig	NOUN
fuelectenerg-5933	120	50	.	.	PUNCT
fuelectenerg-5933	121	1	7	7	NUM
fuelectenerg-5933	121	2	comparison	comparison	NOUN
fuelectenerg-5933	121	3	of	of	ADP
fuelectenerg-5933	121	4	antenna	antenna	NOUN
fuelectenerg-5933	121	5	structures	structure	NOUN
fuelectenerg-5933	121	6	:	:	PUNCT
fuelectenerg-5933	121	7	yagi	yagi	ADJ
fuelectenerg-5933	121	8	-	-	PUNCT
fuelectenerg-5933	121	9	uda	uda	NOUN
fuelectenerg-5933	121	10	(	(	PUNCT
fuelectenerg-5933	121	11	upper	upper	ADJ
fuelectenerg-5933	121	12	half	half	NOUN
fuelectenerg-5933	121	13	)	)	PUNCT
fuelectenerg-5933	121	14	and	and	CCONJ
fuelectenerg-5933	121	15	nonuniform	nonuniform	ADJ
fuelectenerg-5933	121	16	helix	helix	NOUN
fuelectenerg-5933	121	17	profile	profile	NOUN
fuelectenerg-5933	121	18	(	(	PUNCT
fuelectenerg-5933	121	19	lower	low	ADJ
fuelectenerg-5933	121	20	half	half	NOUN
fuelectenerg-5933	121	21	)	)	PUNCT
fuelectenerg-5933	121	22	.	.	PUNCT
fuelectenerg-5933	122	1	fig	fig	NOUN
fuelectenerg-5933	122	2	.	.	PUNCT
fuelectenerg-5933	123	1	8	8	NUM
fuelectenerg-5933	123	2	shows	show	VERB
fuelectenerg-5933	123	3	element	element	NOUN
fuelectenerg-5933	123	4	length	length	NOUN
fuelectenerg-5933	123	5	r	r	NOUN
fuelectenerg-5933	123	6	versus	versus	ADP
fuelectenerg-5933	123	7	axial	axial	ADJ
fuelectenerg-5933	123	8	distance	distance	NOUN
fuelectenerg-5933	123	9	,	,	PUNCT
fuelectenerg-5933	123	10	while	while	SCONJ
fuelectenerg-5933	123	11	fig	fig	NOUN
fuelectenerg-5933	123	12	.	.	PUNCT
fuelectenerg-5933	124	1	9	9	NUM
fuelectenerg-5933	124	2	shows	show	VERB
fuelectenerg-5933	124	3	the	the	DET
fuelectenerg-5933	124	4	element	element	NOUN
fuelectenerg-5933	124	5	spacing	space	VERB
fuelectenerg-5933	124	6	p	p	X
fuelectenerg-5933	124	7	,	,	PUNCT
fuelectenerg-5933	124	8	derived	derive	VERB
fuelectenerg-5933	124	9	from	from	ADP
fuelectenerg-5933	124	10	linear	linear	ADJ
fuelectenerg-5933	124	11	interpolation	interpolation	NOUN
fuelectenerg-5933	124	12	of	of	ADP
fuelectenerg-5933	124	13	the	the	DET
fuelectenerg-5933	124	14	data	datum	NOUN
fuelectenerg-5933	124	15	,	,	PUNCT
fuelectenerg-5933	124	16	versus	versus	ADP
fuelectenerg-5933	124	17	axial	axial	ADJ
fuelectenerg-5933	124	18	distance	distance	NOUN
fuelectenerg-5933	124	19	.	.	PUNCT
fuelectenerg-5933	125	1	a	a	DET
fuelectenerg-5933	125	2	leastsquares	leastsquare	NOUN
fuelectenerg-5933	125	3	method	method	NOUN
fuelectenerg-5933	125	4	[	[	X
fuelectenerg-5933	125	5	13	13	NUM
fuelectenerg-5933	125	6	]	]	PUNCT
fuelectenerg-5933	125	7	was	be	AUX
fuelectenerg-5933	125	8	adapted	adapt	VERB
fuelectenerg-5933	125	9	to	to	PART
fuelectenerg-5933	125	10	minimize	minimize	VERB
fuelectenerg-5933	125	11	the	the	DET
fuelectenerg-5933	125	12	error	error	NOUN
fuelectenerg-5933	125	13	of	of	ADP
fuelectenerg-5933	125	14	the	the	DET
fuelectenerg-5933	125	15	second	second	ADJ
fuelectenerg-5933	125	16	-	-	PUNCT
fuelectenerg-5933	125	17	order	order	NOUN
fuelectenerg-5933	125	18	curve	curve	NOUN
fuelectenerg-5933	125	19	-	-	PUNCT
fuelectenerg-5933	125	20	fits	fit	NOUN
fuelectenerg-5933	125	21	.	.	PUNCT
fuelectenerg-5933	126	1	the	the	DET
fuelectenerg-5933	126	2	parabolic	parabolic	ADJ
fuelectenerg-5933	126	3	curves	curve	NOUN
fuelectenerg-5933	126	4	(	(	PUNCT
fuelectenerg-5933	126	5	solid	solid	ADJ
fuelectenerg-5933	126	6	lines	line	NOUN
fuelectenerg-5933	126	7	)	)	PUNCT
fuelectenerg-5933	126	8	show	show	VERB
fuelectenerg-5933	126	9	a	a	DET
fuelectenerg-5933	126	10	superior	superior	ADJ
fuelectenerg-5933	126	11	fit	fit	NOUN
fuelectenerg-5933	126	12	to	to	ADP
fuelectenerg-5933	126	13	these	these	DET
fuelectenerg-5933	126	14	data	datum	NOUN
fuelectenerg-5933	126	15	compared	compare	VERB
fuelectenerg-5933	126	16	with	with	ADP
fuelectenerg-5933	126	17	the	the	DET
fuelectenerg-5933	126	18	linear	linear	PROPN
fuelectenerg-5933	126	19	counterparts	counterpart	NOUN
fuelectenerg-5933	126	20	(	(	PUNCT
fuelectenerg-5933	126	21	dashed	dash	VERB
fuelectenerg-5933	126	22	lines	line	NOUN
fuelectenerg-5933	126	23	)	)	PUNCT
fuelectenerg-5933	126	24	.	.	PUNCT
fuelectenerg-5933	127	1	this	this	PRON
fuelectenerg-5933	127	2	indicates	indicate	VERB
fuelectenerg-5933	127	3	that	that	SCONJ
fuelectenerg-5933	127	4	,	,	PUNCT
fuelectenerg-5933	127	5	had	have	AUX
fuelectenerg-5933	127	6	the	the	DET
fuelectenerg-5933	127	7	yagi	yagi	ADJ
fuelectenerg-5933	127	8	optimization	optimization	NOUN
fuelectenerg-5933	127	9	proceeded	proceed	VERB
fuelectenerg-5933	127	10	with	with	ADP
fuelectenerg-5933	127	11	constraints	constraint	NOUN
fuelectenerg-5933	127	12	of	of	ADP
fuelectenerg-5933	127	13	the	the	DET
fuelectenerg-5933	127	14	parabolic	parabolic	NOUN
fuelectenerg-5933	127	15	form	form	NOUN
fuelectenerg-5933	127	16	,	,	PUNCT
fuelectenerg-5933	127	17	a	a	DET
fuelectenerg-5933	127	18	better	well	ADJ
fuelectenerg-5933	127	19	approximation	approximation	NOUN
fuelectenerg-5933	127	20	to	to	ADP
fuelectenerg-5933	127	21	the	the	DET
fuelectenerg-5933	127	22	true	true	ADJ
fuelectenerg-5933	127	23	optimized	optimize	VERB
fuelectenerg-5933	127	24	data	datum	NOUN
fuelectenerg-5933	127	25	would	would	AUX
fuelectenerg-5933	127	26	have	have	AUX
fuelectenerg-5933	127	27	emerged	emerge	VERB
fuelectenerg-5933	127	28	compared	compare	VERB
fuelectenerg-5933	127	29	with	with	ADP
fuelectenerg-5933	127	30	the	the	DET
fuelectenerg-5933	127	31	linear	linear	ADJ
fuelectenerg-5933	127	32	constraints	constraint	NOUN
fuelectenerg-5933	127	33	.	.	PUNCT
fuelectenerg-5933	128	1	by	by	ADP
fuelectenerg-5933	128	2	analogy	analogy	NOUN
fuelectenerg-5933	128	3	,	,	PUNCT
fuelectenerg-5933	128	4	using	use	VERB
fuelectenerg-5933	128	5	the	the	DET
fuelectenerg-5933	128	6	parabolic	parabolic	ADJ
fuelectenerg-5933	128	7	constraints	constraint	NOUN
fuelectenerg-5933	128	8	for	for	ADP
fuelectenerg-5933	128	9	optimizing	optimize	VERB
fuelectenerg-5933	128	10	the	the	DET
fuelectenerg-5933	128	11	helical	helical	ADJ
fuelectenerg-5933	128	12	antenna	antenna	NOUN
fuelectenerg-5933	128	13	should	should	AUX
fuelectenerg-5933	128	14	result	result	VERB
fuelectenerg-5933	128	15	in	in	ADP
fuelectenerg-5933	128	16	a	a	DET
fuelectenerg-5933	128	17	better	well	ADJ
fuelectenerg-5933	128	18	approximation	approximation	NOUN
fuelectenerg-5933	128	19	to	to	ADP
fuelectenerg-5933	128	20	the	the	DET
fuelectenerg-5933	128	21	true	true	ADJ
fuelectenerg-5933	128	22	optimized	optimize	VERB
fuelectenerg-5933	128	23	data	datum	NOUN
fuelectenerg-5933	128	24	than	than	ADP
fuelectenerg-5933	128	25	the	the	DET
fuelectenerg-5933	128	26	linear	linear	ADJ
fuelectenerg-5933	128	27	constraints	constraint	NOUN
fuelectenerg-5933	128	28	.	.	PUNCT
fuelectenerg-5933	129	1	538	538	NUM
fuelectenerg-5933	129	2	g.	g.	PROPN
fuelectenerg-5933	129	3	e.	e.	PROPN
fuelectenerg-5933	129	4	innes	innes	PROPN
fuelectenerg-5933	129	5	2.4	2.4	NUM
fuelectenerg-5933	129	6	.	.	PUNCT
fuelectenerg-5933	129	7	comparison	comparison	NOUN
fuelectenerg-5933	129	8	with	with	ADP
fuelectenerg-5933	129	9	bi	bi	ADJ
fuelectenerg-5933	129	10	-	-	ADJ
fuelectenerg-5933	129	11	linear	linear	ADJ
fuelectenerg-5933	129	12	form	form	NOUN
fuelectenerg-5933	129	13	the	the	DET
fuelectenerg-5933	129	14	linear	linear	ADJ
fuelectenerg-5933	129	15	constraints	constraint	NOUN
fuelectenerg-5933	129	16	could	could	AUX
fuelectenerg-5933	129	17	be	be	AUX
fuelectenerg-5933	129	18	taken	take	VERB
fuelectenerg-5933	129	19	one	one	NUM
fuelectenerg-5933	129	20	step	step	NOUN
fuelectenerg-5933	129	21	further	far	ADV
fuelectenerg-5933	129	22	and	and	CCONJ
fuelectenerg-5933	129	23	a	a	DET
fuelectenerg-5933	129	24	bi	bi	ADJ
fuelectenerg-5933	129	25	-	-	ADJ
fuelectenerg-5933	129	26	linear	linear	ADJ
fuelectenerg-5933	129	27	form	form	NOUN
fuelectenerg-5933	129	28	used	use	VERB
fuelectenerg-5933	129	29	instead	instead	ADV
fuelectenerg-5933	129	30	of	of	ADP
fuelectenerg-5933	129	31	the	the	DET
fuelectenerg-5933	129	32	continuously	continuously	ADV
fuelectenerg-5933	129	33	variable	variable	ADJ
fuelectenerg-5933	129	34	parabolic	parabolic	PROPN
fuelectenerg-5933	129	35	eqs	eqs	X
fuelectenerg-5933	129	36	(	(	PUNCT
fuelectenerg-5933	129	37	1	1	NUM
fuelectenerg-5933	129	38	)	)	PUNCT
fuelectenerg-5933	129	39	and	and	CCONJ
fuelectenerg-5933	129	40	(	(	PUNCT
fuelectenerg-5933	129	41	2	2	NUM
fuelectenerg-5933	129	42	)	)	PUNCT
fuelectenerg-5933	129	43	.	.	PUNCT
fuelectenerg-5933	130	1	figs	fig	NOUN
fuelectenerg-5933	130	2	10	10	NUM
fuelectenerg-5933	130	3	and	and	CCONJ
fuelectenerg-5933	130	4	11	11	NUM
fuelectenerg-5933	130	5	show	show	VERB
fuelectenerg-5933	130	6	such	such	DET
fuelectenerg-5933	130	7	an	an	DET
fuelectenerg-5933	130	8	arrangement	arrangement	NOUN
fuelectenerg-5933	130	9	obtains	obtain	VERB
fuelectenerg-5933	130	10	an	an	DET
fuelectenerg-5933	130	11	agreement	agreement	NOUN
fuelectenerg-5933	130	12	with	with	ADP
fuelectenerg-5933	130	13	the	the	DET
fuelectenerg-5933	130	14	yagi	yagi	ADJ
fuelectenerg-5933	130	15	-	-	PUNCT
fuelectenerg-5933	130	16	uda	uda	NOUN
fuelectenerg-5933	130	17	data	datum	NOUN
fuelectenerg-5933	130	18	that	that	PRON
fuelectenerg-5933	130	19	rivals	rival	VERB
fuelectenerg-5933	130	20	that	that	PRON
fuelectenerg-5933	130	21	of	of	ADP
fuelectenerg-5933	130	22	the	the	DET
fuelectenerg-5933	130	23	parabolic	parabolic	NOUN
fuelectenerg-5933	130	24	curves	curve	NOUN
fuelectenerg-5933	130	25	.	.	PUNCT
fuelectenerg-5933	131	1	however	however	ADV
fuelectenerg-5933	131	2	,	,	PUNCT
fuelectenerg-5933	131	3	the	the	DET
fuelectenerg-5933	131	4	use	use	NOUN
fuelectenerg-5933	131	5	of	of	ADP
fuelectenerg-5933	131	6	piecewise	piecewise	NOUN
fuelectenerg-5933	131	7	linear	linear	ADJ
fuelectenerg-5933	131	8	segments	segment	NOUN
fuelectenerg-5933	131	9	has	have	VERB
fuelectenerg-5933	131	10	the	the	DET
fuelectenerg-5933	131	11	cost	cost	NOUN
fuelectenerg-5933	131	12	of	of	ADP
fuelectenerg-5933	131	13	optimizing	optimize	VERB
fuelectenerg-5933	131	14	the	the	DET
fuelectenerg-5933	131	15	range	range	NOUN
fuelectenerg-5933	131	16	of	of	ADP
fuelectenerg-5933	131	17	each	each	DET
fuelectenerg-5933	131	18	segment	segment	NOUN
fuelectenerg-5933	131	19	.	.	PUNCT
fuelectenerg-5933	132	1	thus	thus	ADV
fuelectenerg-5933	132	2	in	in	ADP
fuelectenerg-5933	132	3	general	general	ADJ
fuelectenerg-5933	132	4	,	,	PUNCT
fuelectenerg-5933	132	5	4	4	NUM
fuelectenerg-5933	132	6	new	new	ADJ
fuelectenerg-5933	132	7	variables	variable	NOUN
fuelectenerg-5933	132	8	would	would	AUX
fuelectenerg-5933	132	9	be	be	AUX
fuelectenerg-5933	132	10	added	add	VERB
fuelectenerg-5933	132	11	:	:	PUNCT
fuelectenerg-5933	132	12	a	a	DET
fuelectenerg-5933	132	13	middle	middle	ADJ
fuelectenerg-5933	132	14	radius	radius	NOUN
fuelectenerg-5933	132	15	rm	rm	PROPN
fuelectenerg-5933	132	16	and	and	CCONJ
fuelectenerg-5933	132	17	middle	middle	ADJ
fuelectenerg-5933	132	18	pitch	pitch	NOUN
fuelectenerg-5933	132	19	pm	pm	NOUN
fuelectenerg-5933	132	20	and	and	CCONJ
fuelectenerg-5933	132	21	their	their	PRON
fuelectenerg-5933	132	22	respective	respective	ADJ
fuelectenerg-5933	132	23	axial	axial	ADJ
fuelectenerg-5933	132	24	locations	location	NOUN
fuelectenerg-5933	132	25	lrm	lrm	NOUN
fuelectenerg-5933	132	26	and	and	CCONJ
fuelectenerg-5933	132	27	lpm	lpm	NOUN
fuelectenerg-5933	132	28	.	.	PUNCT
fuelectenerg-5933	133	1	even	even	ADV
fuelectenerg-5933	133	2	after	after	ADP
fuelectenerg-5933	133	3	simplifying	simplify	VERB
fuelectenerg-5933	133	4	with	with	ADP
fuelectenerg-5933	133	5	lrm	lrm	PROPN
fuelectenerg-5933	133	6	=	=	PUNCT
fuelectenerg-5933	133	7	lpm	lpm	NOUN
fuelectenerg-5933	133	8	,	,	PUNCT
fuelectenerg-5933	133	9	3	3	NUM
fuelectenerg-5933	133	10	new	new	ADJ
fuelectenerg-5933	133	11	variables	variable	NOUN
fuelectenerg-5933	133	12	would	would	AUX
fuelectenerg-5933	133	13	be	be	AUX
fuelectenerg-5933	133	14	added	add	VERB
fuelectenerg-5933	133	15	,	,	PUNCT
fuelectenerg-5933	133	16	compared	compare	VERB
fuelectenerg-5933	133	17	with	with	ADP
fuelectenerg-5933	133	18	just	just	ADV
fuelectenerg-5933	133	19	the	the	DET
fuelectenerg-5933	133	20	2	2	NUM
fuelectenerg-5933	133	21	curvature	curvature	NOUN
fuelectenerg-5933	133	22	coefficients	coefficient	NOUN
fuelectenerg-5933	133	23	of	of	ADP
fuelectenerg-5933	133	24	the	the	DET
fuelectenerg-5933	133	25	parabolic	parabolic	ADJ
fuelectenerg-5933	133	26	forms	form	NOUN
fuelectenerg-5933	133	27	.	.	PUNCT
fuelectenerg-5933	134	1	fig	fig	NOUN
fuelectenerg-5933	134	2	.	.	PUNCT
fuelectenerg-5933	135	1	8	8	NUM
fuelectenerg-5933	135	2	optimized	optimize	VERB
fuelectenerg-5933	135	3	yagi	yagi	ADJ
fuelectenerg-5933	135	4	element	element	NOUN
fuelectenerg-5933	135	5	length	length	NOUN
fuelectenerg-5933	135	6	r	r	NOUN
fuelectenerg-5933	135	7	versus	versus	ADP
fuelectenerg-5933	135	8	axial	axial	ADJ
fuelectenerg-5933	135	9	distance	distance	NOUN
fuelectenerg-5933	135	10	z.	z.	PROPN
fuelectenerg-5933	135	11	fig	fig	PROPN
fuelectenerg-5933	135	12	.	.	PUNCT
fuelectenerg-5933	136	1	9	9	NUM
fuelectenerg-5933	136	2	optimized	optimize	VERB
fuelectenerg-5933	136	3	yagi	yagi	ADJ
fuelectenerg-5933	136	4	element	element	NOUN
fuelectenerg-5933	136	5	spacing	space	VERB
fuelectenerg-5933	136	6	p	p	NOUN
fuelectenerg-5933	136	7	versus	versus	ADP
fuelectenerg-5933	136	8	axial	axial	ADJ
fuelectenerg-5933	136	9	distance	distance	NOUN
fuelectenerg-5933	136	10	z.	z.	PROPN
fuelectenerg-5933	136	11	fig	fig	PROPN
fuelectenerg-5933	136	12	.	.	PUNCT
fuelectenerg-5933	137	1	10	10	NUM
fuelectenerg-5933	137	2	optimized	optimize	VERB
fuelectenerg-5933	137	3	yagi	yagi	ADJ
fuelectenerg-5933	137	4	element	element	NOUN
fuelectenerg-5933	137	5	length	length	NOUN
fuelectenerg-5933	137	6	r	r	NOUN
fuelectenerg-5933	137	7	versus	versus	ADP
fuelectenerg-5933	137	8	axial	axial	ADJ
fuelectenerg-5933	137	9	distance	distance	NOUN
fuelectenerg-5933	137	10	z	z	NOUN
fuelectenerg-5933	137	11	with	with	ADP
fuelectenerg-5933	137	12	a	a	DET
fuelectenerg-5933	137	13	bi	bi	ADJ
fuelectenerg-5933	137	14	-	-	ADJ
fuelectenerg-5933	137	15	linear	linear	ADJ
fuelectenerg-5933	137	16	curve	curve	NOUN
fuelectenerg-5933	137	17	-	-	PUNCT
fuelectenerg-5933	137	18	fit	fit	NOUN
fuelectenerg-5933	137	19	.	.	PUNCT
fuelectenerg-5933	137	20	fig	fig	NOUN
fuelectenerg-5933	137	21	.	.	PUNCT
fuelectenerg-5933	138	1	11	11	NUM
fuelectenerg-5933	138	2	optimized	optimize	VERB
fuelectenerg-5933	138	3	yagi	yagi	ADJ
fuelectenerg-5933	138	4	element	element	NOUN
fuelectenerg-5933	138	5	spacing	space	VERB
fuelectenerg-5933	138	6	p	p	NOUN
fuelectenerg-5933	138	7	versus	versus	ADP
fuelectenerg-5933	138	8	axial	axial	ADJ
fuelectenerg-5933	138	9	distance	distance	NOUN
fuelectenerg-5933	138	10	z	z	NOUN
fuelectenerg-5933	138	11	with	with	ADP
fuelectenerg-5933	138	12	a	a	DET
fuelectenerg-5933	138	13	bi	bi	ADJ
fuelectenerg-5933	138	14	-	-	ADJ
fuelectenerg-5933	138	15	linear	linear	ADJ
fuelectenerg-5933	138	16	curve	curve	NOUN
fuelectenerg-5933	138	17	-	-	PUNCT
fuelectenerg-5933	138	18	fit	fit	NOUN
fuelectenerg-5933	138	19	.	.	PUNCT
fuelectenerg-5933	139	1	3	3	X
fuelectenerg-5933	139	2	.	.	X
fuelectenerg-5933	139	3	power	power	NOUN
fuelectenerg-5933	139	4	-	-	PUNCT
fuelectenerg-5933	139	5	law	law	NOUN
fuelectenerg-5933	139	6	forms	form	NOUN
fuelectenerg-5933	139	7	3.1	3.1	NUM
fuelectenerg-5933	139	8	.	.	PUNCT
fuelectenerg-5933	140	1	direct	direct	ADJ
fuelectenerg-5933	140	2	power	power	NOUN
fuelectenerg-5933	140	3	-	-	PUNCT
fuelectenerg-5933	140	4	law	law	NOUN
fuelectenerg-5933	140	5	curve	curve	NOUN
fuelectenerg-5933	140	6	-	-	PUNCT
fuelectenerg-5933	140	7	fits	fit	VERB
fuelectenerg-5933	140	8	further	further	ADJ
fuelectenerg-5933	140	9	improvement	improvement	NOUN
fuelectenerg-5933	140	10	in	in	ADP
fuelectenerg-5933	140	11	accuracy	accuracy	NOUN
fuelectenerg-5933	140	12	is	be	AUX
fuelectenerg-5933	140	13	obtained	obtain	VERB
fuelectenerg-5933	140	14	by	by	ADP
fuelectenerg-5933	140	15	applying	apply	VERB
fuelectenerg-5933	140	16	a	a	DET
fuelectenerg-5933	140	17	power	power	NOUN
fuelectenerg-5933	140	18	-	-	PUNCT
fuelectenerg-5933	140	19	law	law	NOUN
fuelectenerg-5933	140	20	formula	formula	NOUN
fuelectenerg-5933	140	21	directly	directly	ADV
fuelectenerg-5933	140	22	to	to	ADP
fuelectenerg-5933	140	23	the	the	DET
fuelectenerg-5933	140	24	optimized	optimize	VERB
fuelectenerg-5933	140	25	yagi	yagi	ADJ
fuelectenerg-5933	140	26	-	-	PUNCT
fuelectenerg-5933	140	27	uda	uda	NOUN
fuelectenerg-5933	140	28	data	datum	NOUN
fuelectenerg-5933	140	29	,	,	PUNCT
fuelectenerg-5933	140	30	figs	fig	NOUN
fuelectenerg-5933	140	31	12	12	NUM
fuelectenerg-5933	140	32	and	and	CCONJ
fuelectenerg-5933	140	33	13	13	NUM
fuelectenerg-5933	140	34	,	,	PUNCT
fuelectenerg-5933	140	35	particularly	particularly	ADV
fuelectenerg-5933	140	36	for	for	ADP
fuelectenerg-5933	140	37	the	the	DET
fuelectenerg-5933	140	38	sharply	sharply	ADV
fuelectenerg-5933	140	39	flared	flare	VERB
fuelectenerg-5933	140	40	profile	profile	NOUN
fuelectenerg-5933	140	41	at	at	ADP
fuelectenerg-5933	140	42	one	one	NUM
fuelectenerg-5933	140	43	end	end	NOUN
fuelectenerg-5933	140	44	of	of	ADP
fuelectenerg-5933	140	45	the	the	DET
fuelectenerg-5933	140	46	element	element	NOUN
fuelectenerg-5933	140	47	array	array	NOUN
fuelectenerg-5933	140	48	.	.	PUNCT
fuelectenerg-5933	141	1	higher	high	ADJ
fuelectenerg-5933	141	2	-	-	PUNCT
fuelectenerg-5933	141	3	order	order	NOUN
fuelectenerg-5933	141	4	structural	structural	ADJ
fuelectenerg-5933	141	5	constraints	constraint	NOUN
fuelectenerg-5933	141	6	for	for	ADP
fuelectenerg-5933	141	7	improved	improved	ADJ
fuelectenerg-5933	141	8	optimization	optimization	NOUN
fuelectenerg-5933	141	9	of	of	ADP
fuelectenerg-5933	141	10	nonuniform	nonuniform	ADJ
fuelectenerg-5933	141	11	helical	helical	ADJ
fuelectenerg-5933	141	12	antennas	antenna	NOUN
fuelectenerg-5933	141	13	539	539	NUM
fuelectenerg-5933	141	14	the	the	DET
fuelectenerg-5933	141	15	element	element	NOUN
fuelectenerg-5933	141	16	length	length	NOUN
fuelectenerg-5933	141	17	taper	taper	NOUN
fuelectenerg-5933	141	18	and	and	CCONJ
fuelectenerg-5933	141	19	element	element	NOUN
fuelectenerg-5933	141	20	spacing	space	VERB
fuelectenerg-5933	141	21	taper	taper	NOUN
fuelectenerg-5933	141	22	are	be	AUX
fuelectenerg-5933	141	23	indicated	indicate	VERB
fuelectenerg-5933	141	24	by	by	ADP
fuelectenerg-5933	141	25	the	the	DET
fuelectenerg-5933	141	26	dashed	dash	VERB
fuelectenerg-5933	141	27	lines	line	NOUN
fuelectenerg-5933	141	28	in	in	ADP
fuelectenerg-5933	141	29	each	each	DET
fuelectenerg-5933	141	30	figure	figure	NOUN
fuelectenerg-5933	141	31	,	,	PUNCT
fuelectenerg-5933	141	32	which	which	PRON
fuelectenerg-5933	141	33	correspond	correspond	VERB
fuelectenerg-5933	141	34	to	to	ADP
fuelectenerg-5933	141	35	the	the	DET
fuelectenerg-5933	141	36	helical	helical	ADJ
fuelectenerg-5933	141	37	tapers	taper	NOUN
fuelectenerg-5933	141	38	ar	ar	NOUN
fuelectenerg-5933	141	39	and	and	CCONJ
fuelectenerg-5933	141	40	ap	ap	PROPN
fuelectenerg-5933	141	41	.	.	PUNCT
fuelectenerg-5933	142	1	the	the	DET
fuelectenerg-5933	142	2	helical	helical	ADJ
fuelectenerg-5933	142	3	power	power	NOUN
fuelectenerg-5933	142	4	-	-	PUNCT
fuelectenerg-5933	142	5	law	law	NOUN
fuelectenerg-5933	142	6	form	form	NOUN
fuelectenerg-5933	142	7	,	,	PUNCT
fuelectenerg-5933	142	8	including	include	VERB
fuelectenerg-5933	142	9	linear	linear	PROPN
fuelectenerg-5933	142	10	tapers	taper	NOUN
fuelectenerg-5933	142	11	,	,	PUNCT
fuelectenerg-5933	142	12	is	be	AUX
fuelectenerg-5933	142	13	presented	present	VERB
fuelectenerg-5933	142	14	in	in	ADP
fuelectenerg-5933	142	15	the	the	DET
fuelectenerg-5933	142	16	following	follow	VERB
fuelectenerg-5933	142	17	subsection	subsection	NOUN
fuelectenerg-5933	142	18	.	.	PUNCT
fuelectenerg-5933	143	1	3.2	3.2	NUM
fuelectenerg-5933	143	2	.	.	PUNCT
fuelectenerg-5933	144	1	power	power	NOUN
fuelectenerg-5933	144	2	-	-	PUNCT
fuelectenerg-5933	144	3	law	law	NOUN
fuelectenerg-5933	144	4	-	-	PUNCT
fuelectenerg-5933	144	5	plus	plus	CCONJ
fuelectenerg-5933	144	6	-	-	PUNCT
fuelectenerg-5933	144	7	linear	linear	NOUN
fuelectenerg-5933	144	8	equations	equation	NOUN
fuelectenerg-5933	144	9	the	the	DET
fuelectenerg-5933	144	10	close	close	ADJ
fuelectenerg-5933	144	11	approximation	approximation	NOUN
fuelectenerg-5933	144	12	of	of	ADP
fuelectenerg-5933	144	13	the	the	DET
fuelectenerg-5933	144	14	parabolic	parabolic	ADJ
fuelectenerg-5933	144	15	curve	curve	NOUN
fuelectenerg-5933	144	16	-	-	PUNCT
fuelectenerg-5933	144	17	fit	fit	NOUN
fuelectenerg-5933	144	18	in	in	ADP
fuelectenerg-5933	144	19	fig	fig	NOUN
fuelectenerg-5933	144	20	.	.	PUNCT
fuelectenerg-5933	145	1	9	9	NUM
fuelectenerg-5933	145	2	,	,	PUNCT
fuelectenerg-5933	145	3	along	along	ADP
fuelectenerg-5933	145	4	with	with	ADP
fuelectenerg-5933	145	5	the	the	DET
fuelectenerg-5933	145	6	improved	improved	ADJ
fuelectenerg-5933	145	7	power	power	NOUN
fuelectenerg-5933	145	8	-	-	PUNCT
fuelectenerg-5933	145	9	law	law	NOUN
fuelectenerg-5933	145	10	approximation	approximation	NOUN
fuelectenerg-5933	145	11	of	of	ADP
fuelectenerg-5933	145	12	fig	fig	NOUN
fuelectenerg-5933	145	13	.	.	PUNCT
fuelectenerg-5933	146	1	12	12	NUM
fuelectenerg-5933	147	1	,	,	PUNCT
fuelectenerg-5933	147	2	suggests	suggest	VERB
fuelectenerg-5933	147	3	that	that	SCONJ
fuelectenerg-5933	147	4	the	the	DET
fuelectenerg-5933	147	5	power	power	NOUN
fuelectenerg-5933	147	6	-	-	PUNCT
fuelectenerg-5933	147	7	law	law	NOUN
fuelectenerg-5933	147	8	form	form	NOUN
fuelectenerg-5933	147	9	may	may	AUX
fuelectenerg-5933	147	10	be	be	AUX
fuelectenerg-5933	147	11	used	use	VERB
fuelectenerg-5933	147	12	in	in	ADP
fuelectenerg-5933	147	13	combination	combination	NOUN
fuelectenerg-5933	147	14	with	with	ADP
fuelectenerg-5933	147	15	the	the	DET
fuelectenerg-5933	147	16	parabolic	parabolic	ADJ
fuelectenerg-5933	147	17	form	form	NOUN
fuelectenerg-5933	147	18	.	.	PUNCT
fuelectenerg-5933	148	1	this	this	DET
fuelectenerg-5933	148	2	combination	combination	NOUN
fuelectenerg-5933	148	3	of	of	ADP
fuelectenerg-5933	148	4	equations	equation	NOUN
fuelectenerg-5933	148	5	is	be	AUX
fuelectenerg-5933	148	6	desirable	desirable	ADJ
fuelectenerg-5933	148	7	since	since	SCONJ
fuelectenerg-5933	148	8	the	the	DET
fuelectenerg-5933	148	9	power	power	NOUN
fuelectenerg-5933	148	10	-	-	PUNCT
fuelectenerg-5933	148	11	law	law	NOUN
fuelectenerg-5933	148	12	form	form	NOUN
fuelectenerg-5933	148	13	adds	add	VERB
fuelectenerg-5933	148	14	one	one	NUM
fuelectenerg-5933	148	15	more	more	ADJ
fuelectenerg-5933	148	16	variable	variable	ADJ
fuelectenerg-5933	148	17	to	to	PART
fuelectenerg-5933	148	18	be	be	AUX
fuelectenerg-5933	148	19	optimized	optimize	VERB
fuelectenerg-5933	148	20	:	:	PUNCT
fuelectenerg-5933	148	21	the	the	DET
fuelectenerg-5933	148	22	power	power	NOUN
fuelectenerg-5933	148	23	-	-	PUNCT
fuelectenerg-5933	148	24	law	law	NOUN
fuelectenerg-5933	148	25	exponent	exponent	NOUN
fuelectenerg-5933	148	26	c.	c.	PROPN
fuelectenerg-5933	148	27	however	however	ADV
fuelectenerg-5933	148	28	,	,	PUNCT
fuelectenerg-5933	148	29	the	the	DET
fuelectenerg-5933	148	30	“	"	PUNCT
fuelectenerg-5933	148	31	raw	raw	ADJ
fuelectenerg-5933	148	32	”	"	PUNCT
fuelectenerg-5933	148	33	power	power	NOUN
fuelectenerg-5933	148	34	-	-	PUNCT
fuelectenerg-5933	148	35	law	law	NOUN
fuelectenerg-5933	148	36	curve	curve	NOUN
fuelectenerg-5933	148	37	-	-	PUNCT
fuelectenerg-5933	148	38	fit	fit	NOUN
fuelectenerg-5933	148	39	in	in	ADP
fuelectenerg-5933	148	40	fig	fig	NOUN
fuelectenerg-5933	148	41	.	.	PUNCT
fuelectenerg-5933	149	1	12	12	NUM
fuelectenerg-5933	149	2	has	have	VERB
fuelectenerg-5933	149	3	a	a	DET
fuelectenerg-5933	149	4	negative	negative	ADJ
fuelectenerg-5933	149	5	exponent	exponent	NOUN
fuelectenerg-5933	149	6	,	,	PUNCT
fuelectenerg-5933	149	7	which	which	PRON
fuelectenerg-5933	149	8	means	mean	VERB
fuelectenerg-5933	149	9	zc	zc	NOUN
fuelectenerg-5933	149	10	would	would	AUX
fuelectenerg-5933	149	11	tend	tend	VERB
fuelectenerg-5933	149	12	to	to	PART
fuelectenerg-5933	149	13	infinity	infinity	VERB
fuelectenerg-5933	149	14	,	,	PUNCT
fuelectenerg-5933	149	15	not	not	PART
fuelectenerg-5933	149	16	zero	zero	NUM
fuelectenerg-5933	149	17	,	,	PUNCT
fuelectenerg-5933	149	18	as	as	ADP
fuelectenerg-5933	149	19	z	z	PROPN
fuelectenerg-5933	149	20	→	→	SYM
fuelectenerg-5933	149	21	0	0	X
fuelectenerg-5933	149	22	.	.	PUNCT
fuelectenerg-5933	150	1	this	this	DET
fuelectenerg-5933	150	2	difficulty	difficulty	NOUN
fuelectenerg-5933	150	3	is	be	AUX
fuelectenerg-5933	150	4	overcome	overcome	VERB
fuelectenerg-5933	150	5	with	with	ADP
fuelectenerg-5933	150	6	the	the	DET
fuelectenerg-5933	150	7	formulations	formulation	NOUN
fuelectenerg-5933	150	8	presented	present	VERB
fuelectenerg-5933	150	9	below	below	ADV
fuelectenerg-5933	150	10	.	.	PUNCT
fuelectenerg-5933	151	1	thus	thus	ADV
fuelectenerg-5933	151	2	,	,	PUNCT
fuelectenerg-5933	151	3	three	three	NUM
fuelectenerg-5933	151	4	new	new	ADJ
fuelectenerg-5933	151	5	scenarios	scenario	NOUN
fuelectenerg-5933	151	6	result	result	VERB
fuelectenerg-5933	151	7	:	:	PUNCT
fuelectenerg-5933	151	8	(	(	PUNCT
fuelectenerg-5933	151	9	a	a	X
fuelectenerg-5933	151	10	)	)	PUNCT
fuelectenerg-5933	151	11	the	the	DET
fuelectenerg-5933	151	12	pitch	pitch	NOUN
fuelectenerg-5933	151	13	is	be	AUX
fuelectenerg-5933	151	14	kept	keep	VERB
fuelectenerg-5933	151	15	as	as	ADV
fuelectenerg-5933	151	16	parabolic	parabolic	ADJ
fuelectenerg-5933	151	17	in	in	ADP
fuelectenerg-5933	151	18	terms	term	NOUN
fuelectenerg-5933	151	19	of	of	ADP
fuelectenerg-5933	151	20	z	z	NOUN
fuelectenerg-5933	151	21	,	,	PUNCT
fuelectenerg-5933	151	22	eq	eq	NOUN
fuelectenerg-5933	151	23	.	.	PUNCT
fuelectenerg-5933	152	1	(	(	PUNCT
fuelectenerg-5933	152	2	2	2	NUM
fuelectenerg-5933	152	3	)	)	PUNCT
fuelectenerg-5933	152	4	,	,	PUNCT
fuelectenerg-5933	152	5	while	while	SCONJ
fuelectenerg-5933	152	6	the	the	DET
fuelectenerg-5933	152	7	radius	radius	NOUN
fuelectenerg-5933	152	8	r	r	NOUN
fuelectenerg-5933	152	9	is	be	AUX
fuelectenerg-5933	152	10	modified	modify	VERB
fuelectenerg-5933	152	11	to	to	PART
fuelectenerg-5933	152	12	allow	allow	VERB
fuelectenerg-5933	152	13	an	an	DET
fuelectenerg-5933	152	14	arbitrary	arbitrary	ADJ
fuelectenerg-5933	152	15	exponent	exponent	NOUN
fuelectenerg-5933	152	16	c	c	NOUN
fuelectenerg-5933	152	17	>	>	X
fuelectenerg-5933	152	18	0	0	NUM
fuelectenerg-5933	152	19	,	,	PUNCT
fuelectenerg-5933	152	20	producing	produce	VERB
fuelectenerg-5933	152	21	a	a	DET
fuelectenerg-5933	152	22	power	power	NOUN
fuelectenerg-5933	152	23	-	-	PUNCT
fuelectenerg-5933	152	24	law	law	NOUN
fuelectenerg-5933	152	25	-	-	PUNCT
fuelectenerg-5933	152	26	plus	plus	CCONJ
fuelectenerg-5933	152	27	-	-	PUNCT
fuelectenerg-5933	152	28	linear	linear	NOUN
fuelectenerg-5933	152	29	form	form	NOUN
fuelectenerg-5933	152	30	:	:	PUNCT
fuelectenerg-5933	152	31	r=	r=	ADJ
fuelectenerg-5933	152	32	k	k	NOUN
fuelectenerg-5933	152	33	r	r	NOUN
fuelectenerg-5933	152	34	zc	zc	PROPN
fuelectenerg-5933	153	1	+	+	CCONJ
fuelectenerg-5933	153	2	(	(	PUNCT
fuelectenerg-5933	153	3	a	a	DET
fuelectenerg-5933	153	4	r	r	NOUN
fuelectenerg-5933	153	5	k	k	NOUN
fuelectenerg-5933	153	6	r	r	NOUN
fuelectenerg-5933	153	7	)	)	PUNCT
fuelectenerg-5933	153	8	z	z	NOUN
fuelectenerg-5933	154	1	+1	+1	NOUN
fuelectenerg-5933	154	2	(	(	PUNCT
fuelectenerg-5933	154	3	15	15	NUM
fuelectenerg-5933	154	4	)	)	PUNCT
fuelectenerg-5933	154	5	eq	eq	NOUN
fuelectenerg-5933	154	6	.	.	PUNCT
fuelectenerg-5933	155	1	(	(	PUNCT
fuelectenerg-5933	155	2	15	15	NUM
fuelectenerg-5933	155	3	)	)	PUNCT
fuelectenerg-5933	155	4	reduces	reduce	VERB
fuelectenerg-5933	155	5	to	to	ADP
fuelectenerg-5933	155	6	eq	eq	NOUN
fuelectenerg-5933	155	7	.	.	PUNCT
fuelectenerg-5933	156	1	(	(	PUNCT
fuelectenerg-5933	156	2	1	1	X
fuelectenerg-5933	156	3	)	)	PUNCT
fuelectenerg-5933	156	4	when	when	SCONJ
fuelectenerg-5933	156	5	c	c	NOUN
fuelectenerg-5933	156	6	=	=	SYM
fuelectenerg-5933	156	7	2	2	X
fuelectenerg-5933	156	8	.	.	X
fuelectenerg-5933	156	9	fig	fig	NOUN
fuelectenerg-5933	156	10	.	.	PUNCT
fuelectenerg-5933	157	1	12	12	NUM
fuelectenerg-5933	157	2	optimized	optimize	VERB
fuelectenerg-5933	157	3	yagi	yagi	ADJ
fuelectenerg-5933	157	4	element	element	NOUN
fuelectenerg-5933	157	5	length	length	NOUN
fuelectenerg-5933	157	6	r	r	NOUN
fuelectenerg-5933	157	7	versus	versus	ADP
fuelectenerg-5933	157	8	axial	axial	ADJ
fuelectenerg-5933	157	9	distance	distance	NOUN
fuelectenerg-5933	157	10	z	z	NOUN
fuelectenerg-5933	157	11	with	with	ADP
fuelectenerg-5933	157	12	a	a	DET
fuelectenerg-5933	157	13	powerlaw	powerlaw	NOUN
fuelectenerg-5933	157	14	curve	curve	NOUN
fuelectenerg-5933	157	15	-	-	PUNCT
fuelectenerg-5933	157	16	fit	fit	NOUN
fuelectenerg-5933	157	17	.	.	PUNCT
fuelectenerg-5933	158	1	fig	fig	NOUN
fuelectenerg-5933	158	2	.	.	PUNCT
fuelectenerg-5933	159	1	13	13	NUM
fuelectenerg-5933	159	2	optimized	optimize	VERB
fuelectenerg-5933	159	3	yagi	yagi	ADJ
fuelectenerg-5933	159	4	element	element	NOUN
fuelectenerg-5933	159	5	spacing	space	VERB
fuelectenerg-5933	159	6	p	p	NOUN
fuelectenerg-5933	159	7	versus	versus	ADP
fuelectenerg-5933	159	8	axial	axial	ADJ
fuelectenerg-5933	159	9	distance	distance	NOUN
fuelectenerg-5933	159	10	z	z	NOUN
fuelectenerg-5933	159	11	with	with	ADP
fuelectenerg-5933	159	12	a	a	DET
fuelectenerg-5933	159	13	powerlaw	powerlaw	NOUN
fuelectenerg-5933	159	14	curve	curve	NOUN
fuelectenerg-5933	159	15	-	-	PUNCT
fuelectenerg-5933	159	16	fit	fit	NOUN
fuelectenerg-5933	159	17	.	.	PUNCT
fuelectenerg-5933	160	1	(	(	PUNCT
fuelectenerg-5933	160	2	b	b	X
fuelectenerg-5933	160	3	)	)	PUNCT
fuelectenerg-5933	160	4	the	the	DET
fuelectenerg-5933	160	5	radius	radius	NOUN
fuelectenerg-5933	160	6	is	be	AUX
fuelectenerg-5933	160	7	kept	keep	VERB
fuelectenerg-5933	160	8	as	as	ADV
fuelectenerg-5933	160	9	parabolic	parabolic	ADJ
fuelectenerg-5933	160	10	in	in	ADP
fuelectenerg-5933	160	11	terms	term	NOUN
fuelectenerg-5933	160	12	of	of	ADP
fuelectenerg-5933	160	13	z	z	NOUN
fuelectenerg-5933	160	14	,	,	PUNCT
fuelectenerg-5933	160	15	eq	eq	NOUN
fuelectenerg-5933	160	16	.	.	PUNCT
fuelectenerg-5933	161	1	(	(	PUNCT
fuelectenerg-5933	161	2	1	1	NUM
fuelectenerg-5933	161	3	)	)	PUNCT
fuelectenerg-5933	161	4	,	,	PUNCT
fuelectenerg-5933	161	5	while	while	SCONJ
fuelectenerg-5933	161	6	the	the	DET
fuelectenerg-5933	161	7	pitch	pitch	NOUN
fuelectenerg-5933	161	8	p	p	NOUN
fuelectenerg-5933	161	9	is	be	AUX
fuelectenerg-5933	161	10	modified	modify	VERB
fuelectenerg-5933	161	11	to	to	PART
fuelectenerg-5933	161	12	allow	allow	VERB
fuelectenerg-5933	161	13	an	an	DET
fuelectenerg-5933	161	14	arbitrary	arbitrary	ADJ
fuelectenerg-5933	161	15	exponent	exponent	NOUN
fuelectenerg-5933	161	16	d	d	X
fuelectenerg-5933	161	17	>	>	X
fuelectenerg-5933	161	18	0	0	NUM
fuelectenerg-5933	161	19	,	,	PUNCT
fuelectenerg-5933	161	20	producing	produce	VERB
fuelectenerg-5933	161	21	a	a	DET
fuelectenerg-5933	161	22	power	power	NOUN
fuelectenerg-5933	161	23	-	-	PUNCT
fuelectenerg-5933	161	24	law	law	NOUN
fuelectenerg-5933	161	25	-	-	PUNCT
fuelectenerg-5933	161	26	plus	plus	CCONJ
fuelectenerg-5933	161	27	-	-	PUNCT
fuelectenerg-5933	161	28	linear	linear	NOUN
fuelectenerg-5933	161	29	form	form	NOUN
fuelectenerg-5933	161	30	:	:	PUNCT
fuelectenerg-5933	161	31	p	p	X
fuelectenerg-5933	162	1	=	=	PUNCT
fuelectenerg-5933	162	2	k	k	PROPN
fuelectenerg-5933	163	1	p	p	X
fuelectenerg-5933	163	2	z	z	PROPN
fuelectenerg-5933	163	3	d	d	PROPN
fuelectenerg-5933	163	4	+	+	CCONJ
fuelectenerg-5933	163	5	(	(	PUNCT
fuelectenerg-5933	163	6	a	a	DET
fuelectenerg-5933	163	7	p	p	X
fuelectenerg-5933	163	8	k	k	PROPN
fuelectenerg-5933	163	9	p	p	NOUN
fuelectenerg-5933	163	10	)	)	PUNCT
fuelectenerg-5933	163	11	z	z	PROPN
fuelectenerg-5933	163	12	+1=	+1=	PROPN
fuelectenerg-5933	163	13	dz	dz	PROPN
fuelectenerg-5933	163	14	dn	dn	PROPN
fuelectenerg-5933	163	15	(	(	PUNCT
fuelectenerg-5933	163	16	16	16	NUM
fuelectenerg-5933	163	17	)	)	PUNCT
fuelectenerg-5933	163	18	eq	eq	NOUN
fuelectenerg-5933	163	19	.	.	PUNCT
fuelectenerg-5933	164	1	(	(	PUNCT
fuelectenerg-5933	164	2	16	16	NUM
fuelectenerg-5933	164	3	)	)	PUNCT
fuelectenerg-5933	164	4	reduces	reduce	VERB
fuelectenerg-5933	164	5	to	to	ADP
fuelectenerg-5933	164	6	eq	eq	NOUN
fuelectenerg-5933	164	7	.	.	PUNCT
fuelectenerg-5933	165	1	(	(	PUNCT
fuelectenerg-5933	165	2	2	2	NUM
fuelectenerg-5933	165	3	)	)	PUNCT
fuelectenerg-5933	165	4	when	when	SCONJ
fuelectenerg-5933	165	5	d	d	NOUN
fuelectenerg-5933	165	6	=	=	SYM
fuelectenerg-5933	165	7	2	2	X
fuelectenerg-5933	165	8	.	.	PUNCT
fuelectenerg-5933	166	1	however	however	ADV
fuelectenerg-5933	166	2	,	,	PUNCT
fuelectenerg-5933	166	3	when	when	SCONJ
fuelectenerg-5933	166	4	rearranging	rearrange	VERB
fuelectenerg-5933	166	5	and	and	CCONJ
fuelectenerg-5933	166	6	integrating	integrate	VERB
fuelectenerg-5933	166	7	to	to	PART
fuelectenerg-5933	166	8	obtain	obtain	VERB
fuelectenerg-5933	166	9	n(z	n(z	NOUN
fuelectenerg-5933	166	10	)	)	PUNCT
fuelectenerg-5933	166	11	the	the	DET
fuelectenerg-5933	166	12	analysis	analysis	NOUN
fuelectenerg-5933	166	13	is	be	AUX
fuelectenerg-5933	166	14	cumbersome	cumbersome	ADJ
fuelectenerg-5933	166	15	,	,	PUNCT
fuelectenerg-5933	166	16	involving	involve	VERB
fuelectenerg-5933	166	17	an	an	DET
fuelectenerg-5933	166	18	infinite	infinite	ADJ
fuelectenerg-5933	166	19	series	series	NOUN
fuelectenerg-5933	166	20	expansion	expansion	NOUN
fuelectenerg-5933	166	21	.	.	PUNCT
fuelectenerg-5933	167	1	alternatively	alternatively	ADV
fuelectenerg-5933	167	2	,	,	PUNCT
fuelectenerg-5933	167	3	n(z	n(z	NOUN
fuelectenerg-5933	167	4	)	)	PUNCT
fuelectenerg-5933	167	5	and	and	CCONJ
fuelectenerg-5933	167	6	z(n	z(n	NOUN
fuelectenerg-5933	167	7	)	)	PUNCT
fuelectenerg-5933	167	8	may	may	AUX
fuelectenerg-5933	167	9	be	be	AUX
fuelectenerg-5933	167	10	determined	determine	VERB
fuelectenerg-5933	167	11	by	by	ADP
fuelectenerg-5933	167	12	numerical	numerical	ADJ
fuelectenerg-5933	167	13	methods	method	NOUN
fuelectenerg-5933	167	14	.	.	PUNCT
fuelectenerg-5933	168	1	(	(	PUNCT
fuelectenerg-5933	168	2	c	c	X
fuelectenerg-5933	168	3	)	)	PUNCT
fuelectenerg-5933	168	4	both	both	CCONJ
fuelectenerg-5933	168	5	the	the	DET
fuelectenerg-5933	168	6	pitch	pitch	NOUN
fuelectenerg-5933	168	7	and	and	CCONJ
fuelectenerg-5933	168	8	radius	radius	NOUN
fuelectenerg-5933	168	9	may	may	AUX
fuelectenerg-5933	168	10	have	have	VERB
fuelectenerg-5933	168	11	power	power	NOUN
fuelectenerg-5933	168	12	-	-	PUNCT
fuelectenerg-5933	168	13	law	law	NOUN
fuelectenerg-5933	168	14	forms	form	NOUN
fuelectenerg-5933	168	15	in	in	ADP
fuelectenerg-5933	168	16	terms	term	NOUN
fuelectenerg-5933	168	17	of	of	ADP
fuelectenerg-5933	168	18	z	z	NOUN
fuelectenerg-5933	168	19	,	,	PUNCT
fuelectenerg-5933	168	20	but	but	CCONJ
fuelectenerg-5933	168	21	the	the	DET
fuelectenerg-5933	168	22	same	same	ADJ
fuelectenerg-5933	168	23	cumbersome	cumbersome	ADJ
fuelectenerg-5933	168	24	integration	integration	NOUN
fuelectenerg-5933	168	25	problem	problem	NOUN
fuelectenerg-5933	168	26	of	of	ADP
fuelectenerg-5933	168	27	(	(	PUNCT
fuelectenerg-5933	168	28	b	b	NOUN
fuelectenerg-5933	168	29	)	)	PUNCT
fuelectenerg-5933	168	30	remains	remain	VERB
fuelectenerg-5933	168	31	.	.	PUNCT
fuelectenerg-5933	169	1	540	540	NUM
fuelectenerg-5933	169	2	g.	g.	PROPN
fuelectenerg-5933	169	3	e.	e.	PROPN
fuelectenerg-5933	169	4	innes	innes	PROPN
fuelectenerg-5933	169	5	3.3	3.3	NUM
fuelectenerg-5933	169	6	.	.	PUNCT
fuelectenerg-5933	170	1	n	n	CCONJ
fuelectenerg-5933	170	2	-	-	PUNCT
fuelectenerg-5933	170	3	form	form	NOUN
fuelectenerg-5933	170	4	of	of	ADP
fuelectenerg-5933	170	5	power	power	NOUN
fuelectenerg-5933	170	6	-	-	PUNCT
fuelectenerg-5933	170	7	law	law	NOUN
fuelectenerg-5933	170	8	-	-	PUNCT
fuelectenerg-5933	170	9	plus	plus	CCONJ
fuelectenerg-5933	170	10	-	-	PUNCT
fuelectenerg-5933	170	11	linear	linear	NOUN
fuelectenerg-5933	170	12	equations	equation	NOUN
fuelectenerg-5933	170	13	the	the	DET
fuelectenerg-5933	170	14	analytical	analytical	ADJ
fuelectenerg-5933	170	15	difficulty	difficulty	NOUN
fuelectenerg-5933	170	16	may	may	AUX
fuelectenerg-5933	170	17	be	be	AUX
fuelectenerg-5933	170	18	avoided	avoid	VERB
fuelectenerg-5933	170	19	by	by	ADP
fuelectenerg-5933	170	20	re	re	VERB
fuelectenerg-5933	170	21	-	-	VERB
fuelectenerg-5933	170	22	stating	state	VERB
fuelectenerg-5933	170	23	the	the	DET
fuelectenerg-5933	170	24	non	non	ADJ
fuelectenerg-5933	170	25	-	-	ADJ
fuelectenerg-5933	170	26	dimensional	dimensional	ADJ
fuelectenerg-5933	170	27	radius	radius	NOUN
fuelectenerg-5933	170	28	and	and	CCONJ
fuelectenerg-5933	170	29	pitch	pitch	NOUN
fuelectenerg-5933	170	30	directly	directly	ADV
fuelectenerg-5933	170	31	in	in	ADP
fuelectenerg-5933	170	32	terms	term	NOUN
fuelectenerg-5933	170	33	of	of	ADP
fuelectenerg-5933	170	34	the	the	DET
fuelectenerg-5933	170	35	normalized	normalize	VERB
fuelectenerg-5933	170	36	turn	turn	NOUN
fuelectenerg-5933	170	37	number	number	NOUN
fuelectenerg-5933	170	38	n	n	NOUN
fuelectenerg-5933	170	39	=	=	PUNCT
fuelectenerg-5933	170	40	n	n	CCONJ
fuelectenerg-5933	170	41	/	/	SYM
fuelectenerg-5933	170	42	ntot	ntot	NOUN
fuelectenerg-5933	170	43	=	=	SYM
fuelectenerg-5933	170	44	n	n	CCONJ
fuelectenerg-5933	170	45	/	/	SYM
fuelectenerg-5933	170	46	ntot	ntot	PROPN
fuelectenerg-5933	170	47	:	:	PUNCT
fuelectenerg-5933	170	48	r=	r=	ADJ
fuelectenerg-5933	171	1	k	k	NOUN
fuelectenerg-5933	171	2	r	r	NOUN
fuelectenerg-5933	172	1	n	n	NOUN
fuelectenerg-5933	172	2	c	c	NOUN
fuelectenerg-5933	173	1	+	+	CCONJ
fuelectenerg-5933	173	2	(	(	PUNCT
fuelectenerg-5933	173	3	a	a	DET
fuelectenerg-5933	173	4	r	r	NOUN
fuelectenerg-5933	173	5	k	k	NOUN
fuelectenerg-5933	173	6	r	r	NOUN
fuelectenerg-5933	173	7	)	)	PUNCT
fuelectenerg-5933	173	8	n+1	n+1	PROPN
fuelectenerg-5933	173	9	(	(	PUNCT
fuelectenerg-5933	173	10	17	17	NUM
fuelectenerg-5933	173	11	)	)	PUNCT
fuelectenerg-5933	174	1	p	p	NOUN
fuelectenerg-5933	175	1	=	=	PUNCT
fuelectenerg-5933	175	2	k	k	PROPN
fuelectenerg-5933	175	3	p	p	PROPN
fuelectenerg-5933	175	4	n	n	PROPN
fuelectenerg-5933	175	5	d	d	PROPN
fuelectenerg-5933	175	6	+	+	CCONJ
fuelectenerg-5933	175	7	(	(	PUNCT
fuelectenerg-5933	175	8	a	a	DET
fuelectenerg-5933	175	9	p	p	X
fuelectenerg-5933	175	10	k	k	PROPN
fuelectenerg-5933	175	11	p	p	NOUN
fuelectenerg-5933	175	12	)	)	PUNCT
fuelectenerg-5933	176	1	n+1=	n+1=	PROPN
fuelectenerg-5933	176	2	1	1	NUM
fuelectenerg-5933	176	3	n	n	NOUN
fuelectenerg-5933	176	4	tot	tot	VERB
fuelectenerg-5933	176	5	dz	dz	ADJ
fuelectenerg-5933	176	6	dn	dn	PROPN
fuelectenerg-5933	176	7	(	(	PUNCT
fuelectenerg-5933	176	8	18	18	NUM
fuelectenerg-5933	176	9	)	)	PUNCT
fuelectenerg-5933	176	10	where	where	SCONJ
fuelectenerg-5933	176	11	0	0	NUM
fuelectenerg-5933	176	12	≤	≤	NUM
fuelectenerg-5933	176	13	n	n	CCONJ
fuelectenerg-5933	176	14	≤	≤	NOUN
fuelectenerg-5933	176	15	1	1	NUM
fuelectenerg-5933	176	16	and	and	CCONJ
fuelectenerg-5933	176	17	ntot	ntot	PROPN
fuelectenerg-5933	176	18	is	be	AUX
fuelectenerg-5933	176	19	the	the	DET
fuelectenerg-5933	176	20	reduced	reduce	VERB
fuelectenerg-5933	176	21	turn	turn	NOUN
fuelectenerg-5933	176	22	number	number	NOUN
fuelectenerg-5933	176	23	at	at	ADP
fuelectenerg-5933	176	24	z	z	NOUN
fuelectenerg-5933	176	25	=	=	SYM
fuelectenerg-5933	176	26	1	1	NUM
fuelectenerg-5933	176	27	.	.	PUNCT
fuelectenerg-5933	177	1	eq	eq	NOUN
fuelectenerg-5933	177	2	.	.	PUNCT
fuelectenerg-5933	178	1	(	(	PUNCT
fuelectenerg-5933	178	2	18	18	NUM
fuelectenerg-5933	178	3	)	)	PUNCT
fuelectenerg-5933	178	4	may	may	AUX
fuelectenerg-5933	178	5	be	be	AUX
fuelectenerg-5933	178	6	rearranged	rearrange	VERB
fuelectenerg-5933	178	7	,	,	PUNCT
fuelectenerg-5933	178	8	integrated	integrate	VERB
fuelectenerg-5933	178	9	and	and	CCONJ
fuelectenerg-5933	178	10	the	the	DET
fuelectenerg-5933	178	11	boundary	boundary	ADJ
fuelectenerg-5933	178	12	condition	condition	NOUN
fuelectenerg-5933	178	13	applied	apply	VERB
fuelectenerg-5933	178	14	n	n	NOUN
fuelectenerg-5933	178	15	=	=	SYM
fuelectenerg-5933	178	16	0	0	NUM
fuelectenerg-5933	179	1	at	at	ADP
fuelectenerg-5933	179	2	z	z	NOUN
fuelectenerg-5933	179	3	=	=	SYM
fuelectenerg-5933	179	4	0	0	NUM
fuelectenerg-5933	179	5	to	to	PART
fuelectenerg-5933	179	6	give	give	VERB
fuelectenerg-5933	179	7	:	:	PUNCT
fuelectenerg-5933	179	8	1	1	NUM
fuelectenerg-5933	179	9	2	2	NUM
fuelectenerg-5933	179	10	1	1	NUM
fuelectenerg-5933	179	11	2	2	NUM
fuelectenerg-5933	179	12	p	p	NOUN
fuelectenerg-5933	179	13	p	p	X
fuelectenerg-5933	179	14	pd	pd	PROPN
fuelectenerg-5933	179	15	tot	tot	NOUN
fuelectenerg-5933	179	16	k	k	PROPN
fuelectenerg-5933	180	1	a	a	DET
fuelectenerg-5933	180	2	k	k	PROPN
fuelectenerg-5933	180	3	z	z	PROPN
fuelectenerg-5933	180	4	n	n	PROPN
fuelectenerg-5933	180	5	d	d	PROPN
fuelectenerg-5933	180	6	+	+	CCONJ
fuelectenerg-5933	180	7	−	−	NOUN
fuelectenerg-5933	180	8			NOUN
fuelectenerg-5933	180	9	=	=	PUNCT
fuelectenerg-5933	181	1	+	+	PUNCT
fuelectenerg-5933	182	1	+	+	ADJ
fuelectenerg-5933	182	2			PROPN
fuelectenerg-5933	182	3			PROPN
fuelectenerg-5933	183	1	+	+	ADJ
fuelectenerg-5933	183	2			PROPN
fuelectenerg-5933	183	3			NOUN
fuelectenerg-5933	183	4	n	n	VERB
fuelectenerg-5933	183	5	n	n	CCONJ
fuelectenerg-5933	183	6	n	n	CCONJ
fuelectenerg-5933	183	7	(	(	PUNCT
fuelectenerg-5933	183	8	19	19	NUM
fuelectenerg-5933	183	9	)	)	PUNCT
fuelectenerg-5933	183	10	and	and	CCONJ
fuelectenerg-5933	183	11	ntot	ntot	PROPN
fuelectenerg-5933	183	12	is	be	AUX
fuelectenerg-5933	183	13	easily	easily	ADV
fuelectenerg-5933	183	14	found	find	VERB
fuelectenerg-5933	183	15	:	:	PUNCT
fuelectenerg-5933	183	16	1	1	NUM
fuelectenerg-5933	183	17	1	1	NUM
fuelectenerg-5933	183	18	1	1	NUM
fuelectenerg-5933	183	19	2	2	NUM
fuelectenerg-5933	183	20	p	p	NOUN
fuelectenerg-5933	183	21	p	p	X
fuelectenerg-5933	183	22	p	p	X
fuelectenerg-5933	183	23	tot	tot	NOUN
fuelectenerg-5933	183	24	k	k	PROPN
fuelectenerg-5933	183	25	a	a	DET
fuelectenerg-5933	183	26	k	k	PROPN
fuelectenerg-5933	183	27	n	n	PROPN
fuelectenerg-5933	183	28	d	d	NOUN
fuelectenerg-5933	183	29	−	−	PROPN
fuelectenerg-5933	183	30	−	−	NOUN
fuelectenerg-5933	183	31			NOUN
fuelectenerg-5933	183	32	=	=	PUNCT
fuelectenerg-5933	184	1	+	+	PUNCT
fuelectenerg-5933	185	1	+	+	ADJ
fuelectenerg-5933	185	2			PROPN
fuelectenerg-5933	185	3			PROPN
fuelectenerg-5933	186	1	+	+	ADJ
fuelectenerg-5933	186	2			PROPN
fuelectenerg-5933	186	3			NOUN
fuelectenerg-5933	186	4	(	(	PUNCT
fuelectenerg-5933	186	5	20	20	NUM
fuelectenerg-5933	186	6	)	)	PUNCT
fuelectenerg-5933	186	7	eq	eq	NOUN
fuelectenerg-5933	186	8	.	.	PUNCT
fuelectenerg-5933	187	1	(	(	PUNCT
fuelectenerg-5933	187	2	19	19	NUM
fuelectenerg-5933	187	3	)	)	PUNCT
fuelectenerg-5933	187	4	may	may	AUX
fuelectenerg-5933	187	5	be	be	AUX
fuelectenerg-5933	187	6	used	use	VERB
fuelectenerg-5933	187	7	iteratively	iteratively	ADV
fuelectenerg-5933	187	8	to	to	PART
fuelectenerg-5933	187	9	solve	solve	VERB
fuelectenerg-5933	187	10	for	for	ADP
fuelectenerg-5933	187	11	n	n	NOUN
fuelectenerg-5933	187	12	=	=	SYM
fuelectenerg-5933	187	13	n(z	n(z	NOUN
fuelectenerg-5933	187	14	)	)	PUNCT
fuelectenerg-5933	187	15	.	.	PUNCT
fuelectenerg-5933	188	1	fig	fig	NOUN
fuelectenerg-5933	188	2	.	.	PUNCT
fuelectenerg-5933	189	1	14	14	NUM
fuelectenerg-5933	189	2	shows	show	VERB
fuelectenerg-5933	189	3	a	a	DET
fuelectenerg-5933	189	4	curve	curve	NOUN
fuelectenerg-5933	189	5	-	-	PUNCT
fuelectenerg-5933	189	6	fit	fit	NOUN
fuelectenerg-5933	189	7	using	use	VERB
fuelectenerg-5933	189	8	the	the	DET
fuelectenerg-5933	189	9	form	form	NOUN
fuelectenerg-5933	189	10	of	of	ADP
fuelectenerg-5933	189	11	eq	eq	PROPN
fuelectenerg-5933	189	12	.	.	PUNCT
fuelectenerg-5933	190	1	(	(	PUNCT
fuelectenerg-5933	190	2	17	17	NUM
fuelectenerg-5933	190	3	)	)	PUNCT
fuelectenerg-5933	190	4	with	with	ADP
fuelectenerg-5933	190	5	an	an	DET
fuelectenerg-5933	190	6	r	r	NOUN
fuelectenerg-5933	190	7	versus	versus	ADP
fuelectenerg-5933	190	8	n	n	PRON
fuelectenerg-5933	190	9	plot	plot	NOUN
fuelectenerg-5933	190	10	of	of	ADP
fuelectenerg-5933	190	11	the	the	DET
fuelectenerg-5933	190	12	optimized	optimize	VERB
fuelectenerg-5933	190	13	yagi	yagi	ADJ
fuelectenerg-5933	190	14	-	-	PUNCT
fuelectenerg-5933	190	15	uda	uda	NOUN
fuelectenerg-5933	190	16	data	datum	NOUN
fuelectenerg-5933	190	17	.	.	PUNCT
fuelectenerg-5933	191	1	the	the	DET
fuelectenerg-5933	191	2	problem	problem	NOUN
fuelectenerg-5933	191	3	of	of	ADP
fuelectenerg-5933	191	4	the	the	DET
fuelectenerg-5933	191	5	negative	negative	ADJ
fuelectenerg-5933	191	6	exponent	exponent	NOUN
fuelectenerg-5933	191	7	of	of	ADP
fuelectenerg-5933	191	8	fig	fig	NOUN
fuelectenerg-5933	191	9	.	.	PUNCT
fuelectenerg-5933	192	1	12	12	NUM
fuelectenerg-5933	192	2	is	be	AUX
fuelectenerg-5933	192	3	overcome	overcome	VERB
fuelectenerg-5933	192	4	.	.	PUNCT
fuelectenerg-5933	193	1	it	it	PRON
fuelectenerg-5933	193	2	also	also	ADV
fuelectenerg-5933	193	3	shows	show	VERB
fuelectenerg-5933	193	4	that	that	SCONJ
fuelectenerg-5933	193	5	plotting	plot	VERB
fuelectenerg-5933	193	6	against	against	ADP
fuelectenerg-5933	193	7	the	the	DET
fuelectenerg-5933	193	8	normalized	normalize	VERB
fuelectenerg-5933	193	9	element	element	NOUN
fuelectenerg-5933	193	10	number	number	NOUN
fuelectenerg-5933	193	11	n	n	PRON
fuelectenerg-5933	193	12	produces	produce	VERB
fuelectenerg-5933	193	13	a	a	DET
fuelectenerg-5933	193	14	gentler	gentle	ADJ
fuelectenerg-5933	193	15	flare	flare	NOUN
fuelectenerg-5933	193	16	than	than	ADP
fuelectenerg-5933	193	17	plotting	plot	VERB
fuelectenerg-5933	193	18	against	against	ADP
fuelectenerg-5933	193	19	z.	z.	PROPN
fuelectenerg-5933	193	20	the	the	DET
fuelectenerg-5933	193	21	rms	rm	NOUN
fuelectenerg-5933	193	22	error	error	NOUN
fuelectenerg-5933	193	23	in	in	ADP
fuelectenerg-5933	193	24	element	element	ADJ
fuelectenerg-5933	193	25	length	length	NOUN
fuelectenerg-5933	193	26	is	be	AUX
fuelectenerg-5933	193	27	0.728	0.728	NUM
fuelectenerg-5933	193	28	percent	percent	NOUN
fuelectenerg-5933	193	29	with	with	ADP
fuelectenerg-5933	193	30	the	the	DET
fuelectenerg-5933	193	31	power	power	NOUN
fuelectenerg-5933	193	32	-	-	PUNCT
fuelectenerg-5933	193	33	law	law	NOUN
fuelectenerg-5933	193	34	-	-	PUNCT
fuelectenerg-5933	193	35	plus	plus	CCONJ
fuelectenerg-5933	193	36	-	-	PUNCT
fuelectenerg-5933	193	37	linear	linear	NOUN
fuelectenerg-5933	193	38	form	form	NOUN
fuelectenerg-5933	193	39	.	.	PUNCT
fuelectenerg-5933	194	1	fig	fig	NOUN
fuelectenerg-5933	194	2	.	.	PUNCT
fuelectenerg-5933	195	1	15	15	NUM
fuelectenerg-5933	195	2	shows	show	VERB
fuelectenerg-5933	195	3	a	a	DET
fuelectenerg-5933	195	4	curve	curve	NOUN
fuelectenerg-5933	195	5	-	-	PUNCT
fuelectenerg-5933	195	6	fit	fit	NOUN
fuelectenerg-5933	195	7	using	use	VERB
fuelectenerg-5933	195	8	the	the	DET
fuelectenerg-5933	195	9	form	form	NOUN
fuelectenerg-5933	195	10	of	of	ADP
fuelectenerg-5933	195	11	eq	eq	PROPN
fuelectenerg-5933	195	12	.	.	PUNCT
fuelectenerg-5933	196	1	(	(	PUNCT
fuelectenerg-5933	196	2	19	19	NUM
fuelectenerg-5933	196	3	)	)	PUNCT
fuelectenerg-5933	196	4	with	with	ADP
fuelectenerg-5933	196	5	a	a	DET
fuelectenerg-5933	196	6	z	z	NOUN
fuelectenerg-5933	196	7	versus	versus	ADP
fuelectenerg-5933	196	8	n	n	PRON
fuelectenerg-5933	196	9	plot	plot	NOUN
fuelectenerg-5933	196	10	of	of	ADP
fuelectenerg-5933	196	11	the	the	DET
fuelectenerg-5933	196	12	optimized	optimize	VERB
fuelectenerg-5933	196	13	yagi	yagi	ADJ
fuelectenerg-5933	196	14	-	-	PUNCT
fuelectenerg-5933	196	15	uda	uda	NOUN
fuelectenerg-5933	196	16	data	datum	NOUN
fuelectenerg-5933	196	17	.	.	PUNCT
fuelectenerg-5933	197	1	the	the	DET
fuelectenerg-5933	197	2	linearly	linearly	ADV
fuelectenerg-5933	197	3	interpolated	interpolate	VERB
fuelectenerg-5933	197	4	pitch	pitch	NOUN
fuelectenerg-5933	197	5	values	value	NOUN
fuelectenerg-5933	197	6	shown	show	VERB
fuelectenerg-5933	197	7	in	in	ADP
fuelectenerg-5933	197	8	figs	fig	NOUN
fuelectenerg-5933	197	9	9	9	NUM
fuelectenerg-5933	197	10	,	,	PUNCT
fuelectenerg-5933	197	11	11	11	NUM
fuelectenerg-5933	197	12	and	and	CCONJ
fuelectenerg-5933	197	13	13	13	NUM
fuelectenerg-5933	197	14	are	be	AUX
fuelectenerg-5933	197	15	replaced	replace	VERB
fuelectenerg-5933	197	16	by	by	ADP
fuelectenerg-5933	197	17	a	a	DET
fuelectenerg-5933	197	18	smoothed	smooth	VERB
fuelectenerg-5933	197	19	z(n	z(n	NOUN
fuelectenerg-5933	197	20	)	)	PUNCT
fuelectenerg-5933	197	21	curve	curve	NOUN
fuelectenerg-5933	197	22	,	,	PUNCT
fuelectenerg-5933	197	23	from	from	ADP
fuelectenerg-5933	197	24	which	which	PRON
fuelectenerg-5933	197	25	a	a	DET
fuelectenerg-5933	197	26	smoothed	smoothed	ADJ
fuelectenerg-5933	197	27	pitch	pitch	NOUN
fuelectenerg-5933	197	28	p	p	NOUN
fuelectenerg-5933	197	29	=	=	PROPN
fuelectenerg-5933	197	30	dz	dz	PROPN
fuelectenerg-5933	197	31	/	/	SYM
fuelectenerg-5933	197	32	dn	dn	PROPN
fuelectenerg-5933	197	33	curve	curve	NOUN
fuelectenerg-5933	197	34	may	may	AUX
fuelectenerg-5933	197	35	be	be	AUX
fuelectenerg-5933	197	36	derived	derive	VERB
fuelectenerg-5933	197	37	.	.	PUNCT
fuelectenerg-5933	198	1	fig	fig	NOUN
fuelectenerg-5933	198	2	.	.	PUNCT
fuelectenerg-5933	199	1	14	14	NUM
fuelectenerg-5933	199	2	optimized	optimize	VERB
fuelectenerg-5933	199	3	yagi	yagi	ADJ
fuelectenerg-5933	199	4	element	element	NOUN
fuelectenerg-5933	199	5	length	length	NOUN
fuelectenerg-5933	199	6	r	r	NOUN
fuelectenerg-5933	199	7	versus	versus	ADP
fuelectenerg-5933	199	8	normalized	normalize	VERB
fuelectenerg-5933	199	9	element	element	ADJ
fuelectenerg-5933	199	10	number	number	NOUN
fuelectenerg-5933	199	11	n	n	NUM
fuelectenerg-5933	199	12	with	with	ADP
fuelectenerg-5933	199	13	power	power	NOUN
fuelectenerg-5933	199	14	-	-	PUNCT
fuelectenerg-5933	199	15	law	law	NOUN
fuelectenerg-5933	199	16	based	base	VERB
fuelectenerg-5933	199	17	curve	curve	NOUN
fuelectenerg-5933	199	18	-	-	PUNCT
fuelectenerg-5933	199	19	fits	fit	NOUN
fuelectenerg-5933	199	20	.	.	PUNCT
fuelectenerg-5933	200	1	fig	fig	NOUN
fuelectenerg-5933	200	2	.	.	PUNCT
fuelectenerg-5933	201	1	15	15	NUM
fuelectenerg-5933	201	2	optimized	optimize	VERB
fuelectenerg-5933	201	3	yagi	yagi	ADJ
fuelectenerg-5933	201	4	axial	axial	ADJ
fuelectenerg-5933	201	5	distance	distance	NOUN
fuelectenerg-5933	201	6	z	z	NOUN
fuelectenerg-5933	201	7	versus	versus	ADP
fuelectenerg-5933	201	8	normalized	normalize	VERB
fuelectenerg-5933	201	9	element	element	ADJ
fuelectenerg-5933	201	10	number	number	NOUN
fuelectenerg-5933	201	11	n	n	NUM
fuelectenerg-5933	201	12	with	with	ADP
fuelectenerg-5933	201	13	power	power	NOUN
fuelectenerg-5933	201	14	-	-	PUNCT
fuelectenerg-5933	201	15	law	law	NOUN
fuelectenerg-5933	201	16	based	base	VERB
fuelectenerg-5933	201	17	curve	curve	NOUN
fuelectenerg-5933	201	18	-	-	PUNCT
fuelectenerg-5933	201	19	fits	fit	NOUN
fuelectenerg-5933	201	20	.	.	PUNCT
fuelectenerg-5933	202	1	higher	high	ADJ
fuelectenerg-5933	202	2	-	-	PUNCT
fuelectenerg-5933	202	3	order	order	NOUN
fuelectenerg-5933	202	4	structural	structural	ADJ
fuelectenerg-5933	202	5	constraints	constraint	NOUN
fuelectenerg-5933	202	6	for	for	ADP
fuelectenerg-5933	202	7	improved	improved	ADJ
fuelectenerg-5933	202	8	optimization	optimization	NOUN
fuelectenerg-5933	202	9	of	of	ADP
fuelectenerg-5933	202	10	nonuniform	nonuniform	ADJ
fuelectenerg-5933	202	11	helical	helical	ADJ
fuelectenerg-5933	202	12	antennas	antenna	NOUN
fuelectenerg-5933	202	13	541	541	NUM
fuelectenerg-5933	202	14	3.4	3.4	NUM
fuelectenerg-5933	202	15	.	.	PUNCT
fuelectenerg-5933	203	1	simplified	simplify	VERB
fuelectenerg-5933	203	2	power	power	NOUN
fuelectenerg-5933	203	3	-	-	PUNCT
fuelectenerg-5933	203	4	law	law	NOUN
fuelectenerg-5933	203	5	forms	form	VERB
fuelectenerg-5933	203	6	the	the	DET
fuelectenerg-5933	203	7	power	power	NOUN
fuelectenerg-5933	203	8	-	-	PUNCT
fuelectenerg-5933	203	9	law	law	NOUN
fuelectenerg-5933	203	10	-	-	PUNCT
fuelectenerg-5933	203	11	plus	plus	CCONJ
fuelectenerg-5933	203	12	-	-	PUNCT
fuelectenerg-5933	203	13	linear	linear	NOUN
fuelectenerg-5933	203	14	curve	curve	NOUN
fuelectenerg-5933	203	15	in	in	ADP
fuelectenerg-5933	203	16	fig	fig	NOUN
fuelectenerg-5933	203	17	.	.	PUNCT
fuelectenerg-5933	204	1	15	15	NUM
fuelectenerg-5933	204	2	is	be	AUX
fuelectenerg-5933	204	3	virtually	virtually	ADV
fuelectenerg-5933	204	4	identical	identical	ADJ
fuelectenerg-5933	204	5	to	to	ADP
fuelectenerg-5933	204	6	that	that	PRON
fuelectenerg-5933	204	7	generated	generate	VERB
fuelectenerg-5933	204	8	by	by	ADP
fuelectenerg-5933	204	9	the	the	DET
fuelectenerg-5933	204	10	power	power	NOUN
fuelectenerg-5933	204	11	-	-	PUNCT
fuelectenerg-5933	204	12	law	law	NOUN
fuelectenerg-5933	204	13	-	-	PUNCT
fuelectenerg-5933	204	14	plus	plus	CCONJ
fuelectenerg-5933	204	15	-	-	PUNCT
fuelectenerg-5933	204	16	parabola	parabola	NOUN
fuelectenerg-5933	204	17	form	form	NOUN
fuelectenerg-5933	204	18	eq	eq	ADP
fuelectenerg-5933	204	19	.	.	PUNCT
fuelectenerg-5933	205	1	(	(	PUNCT
fuelectenerg-5933	205	2	19	19	NUM
fuelectenerg-5933	205	3	)	)	PUNCT
fuelectenerg-5933	205	4	.	.	PUNCT
fuelectenerg-5933	206	1	this	this	PRON
fuelectenerg-5933	206	2	suggests	suggest	VERB
fuelectenerg-5933	206	3	the	the	DET
fuelectenerg-5933	206	4	pitch	pitch	NOUN
fuelectenerg-5933	206	5	curvature	curvature	NOUN
fuelectenerg-5933	206	6	coefficient	coefficient	NOUN
fuelectenerg-5933	206	7	kp	kp	NOUN
fuelectenerg-5933	206	8	=	=	SYM
fuelectenerg-5933	206	9	ap	ap	PROPN
fuelectenerg-5933	206	10	for	for	ADP
fuelectenerg-5933	206	11	this	this	DET
fuelectenerg-5933	206	12	data	datum	NOUN
fuelectenerg-5933	206	13	set	set	VERB
fuelectenerg-5933	206	14	,	,	PUNCT
fuelectenerg-5933	206	15	which	which	PRON
fuelectenerg-5933	206	16	reduces	reduce	VERB
fuelectenerg-5933	206	17	the	the	DET
fuelectenerg-5933	206	18	number	number	NOUN
fuelectenerg-5933	206	19	of	of	ADP
fuelectenerg-5933	206	20	variables	variable	NOUN
fuelectenerg-5933	206	21	by	by	ADP
fuelectenerg-5933	206	22	one	one	NUM
fuelectenerg-5933	206	23	.	.	PUNCT
fuelectenerg-5933	207	1	furthermore	furthermore	ADV
fuelectenerg-5933	207	2	,	,	PUNCT
fuelectenerg-5933	207	3	the	the	DET
fuelectenerg-5933	207	4	nature	nature	NOUN
fuelectenerg-5933	207	5	of	of	ADP
fuelectenerg-5933	207	6	the	the	DET
fuelectenerg-5933	207	7	z(n	z(n	NOUN
fuelectenerg-5933	207	8	)	)	PUNCT
fuelectenerg-5933	207	9	curve	curve	NOUN
fuelectenerg-5933	207	10	in	in	ADP
fuelectenerg-5933	207	11	fig	fig	NOUN
fuelectenerg-5933	207	12	.	.	PUNCT
fuelectenerg-5933	208	1	15	15	NUM
fuelectenerg-5933	208	2	allows	allow	VERB
fuelectenerg-5933	208	3	the	the	DET
fuelectenerg-5933	208	4	simplification	simplification	NOUN
fuelectenerg-5933	208	5	kp	kp	VERB
fuelectenerg-5933	208	6	=	=	PUNCT
fuelectenerg-5933	208	7	0	0	PROPN
fuelectenerg-5933	208	8	with	with	ADP
fuelectenerg-5933	208	9	ap	ap	PROPN
fuelectenerg-5933	208	10	≠	≠	PROPN
fuelectenerg-5933	208	11	0	0	NUM
fuelectenerg-5933	208	12	.	.	PUNCT
fuelectenerg-5933	209	1	the	the	DET
fuelectenerg-5933	209	2	resulting	result	VERB
fuelectenerg-5933	209	3	simple	simple	ADJ
fuelectenerg-5933	209	4	parabolic	parabolic	ADJ
fuelectenerg-5933	209	5	form	form	NOUN
fuelectenerg-5933	209	6	of	of	ADP
fuelectenerg-5933	209	7	eq	eq	PROPN
fuelectenerg-5933	209	8	.	.	PUNCT
fuelectenerg-5933	210	1	(	(	PUNCT
fuelectenerg-5933	210	2	19	19	NUM
fuelectenerg-5933	210	3	)	)	PUNCT
fuelectenerg-5933	210	4	is	be	AUX
fuelectenerg-5933	210	5	scarcely	scarcely	ADV
fuelectenerg-5933	210	6	visible	visible	ADJ
fuelectenerg-5933	210	7	as	as	ADP
fuelectenerg-5933	210	8	a	a	DET
fuelectenerg-5933	210	9	dashed	dash	VERB
fuelectenerg-5933	210	10	curve	curve	NOUN
fuelectenerg-5933	210	11	,	,	PUNCT
fuelectenerg-5933	210	12	revealing	reveal	VERB
fuelectenerg-5933	210	13	the	the	DET
fuelectenerg-5933	210	14	accuracy	accuracy	NOUN
fuelectenerg-5933	210	15	is	be	AUX
fuelectenerg-5933	210	16	also	also	ADV
fuelectenerg-5933	210	17	quite	quite	ADV
fuelectenerg-5933	210	18	good	good	ADJ
fuelectenerg-5933	210	19	for	for	ADP
fuelectenerg-5933	210	20	this	this	DET
fuelectenerg-5933	210	21	data	datum	NOUN
fuelectenerg-5933	210	22	set	set	VERB
fuelectenerg-5933	210	23	.	.	PUNCT
fuelectenerg-5933	211	1	this	this	PRON
fuelectenerg-5933	211	2	would	would	AUX
fuelectenerg-5933	211	3	eliminate	eliminate	VERB
fuelectenerg-5933	211	4	yet	yet	ADV
fuelectenerg-5933	211	5	again	again	ADV
fuelectenerg-5933	211	6	one	one	NUM
fuelectenerg-5933	211	7	more	more	ADV
fuelectenerg-5933	211	8	variable	variable	ADJ
fuelectenerg-5933	211	9	,	,	PUNCT
fuelectenerg-5933	211	10	since	since	SCONJ
fuelectenerg-5933	211	11	eq	eq	NOUN
fuelectenerg-5933	211	12	.	.	PUNCT
fuelectenerg-5933	212	1	(	(	PUNCT
fuelectenerg-5933	212	2	18	18	NUM
fuelectenerg-5933	212	3	)	)	PUNCT
fuelectenerg-5933	212	4	would	would	AUX
fuelectenerg-5933	212	5	be	be	AUX
fuelectenerg-5933	212	6	reduced	reduce	VERB
fuelectenerg-5933	212	7	to	to	ADP
fuelectenerg-5933	212	8	the	the	DET
fuelectenerg-5933	212	9	linear	linear	ADJ
fuelectenerg-5933	212	10	form	form	NOUN
fuelectenerg-5933	212	11	.	.	PUNCT
fuelectenerg-5933	213	1	the	the	DET
fuelectenerg-5933	213	2	equivalent	equivalent	ADJ
fuelectenerg-5933	213	3	simplification	simplification	NOUN
fuelectenerg-5933	213	4	for	for	ADP
fuelectenerg-5933	213	5	the	the	DET
fuelectenerg-5933	213	6	radius	radius	NOUN
fuelectenerg-5933	213	7	curvature	curvature	NOUN
fuelectenerg-5933	213	8	coefficient	coefficient	NOUN
fuelectenerg-5933	213	9	kr	kr	PROPN
fuelectenerg-5933	213	10	=	=	PROPN
fuelectenerg-5933	213	11	ar	ar	PROPN
fuelectenerg-5933	213	12	was	be	AUX
fuelectenerg-5933	213	13	applied	apply	VERB
fuelectenerg-5933	213	14	in	in	ADP
fuelectenerg-5933	213	15	fig	fig	NOUN
fuelectenerg-5933	213	16	.	.	PUNCT
fuelectenerg-5933	214	1	14	14	NUM
fuelectenerg-5933	214	2	to	to	PART
fuelectenerg-5933	214	3	produce	produce	VERB
fuelectenerg-5933	214	4	a	a	DET
fuelectenerg-5933	214	5	power	power	NOUN
fuelectenerg-5933	214	6	-	-	PUNCT
fuelectenerg-5933	214	7	law	law	NOUN
fuelectenerg-5933	214	8	-	-	PUNCT
fuelectenerg-5933	214	9	plus	plus	CCONJ
fuelectenerg-5933	214	10	-	-	PUNCT
fuelectenerg-5933	214	11	constant	constant	ADJ
fuelectenerg-5933	214	12	form	form	NOUN
fuelectenerg-5933	214	13	(	(	PUNCT
fuelectenerg-5933	214	14	dashed	dash	VERB
fuelectenerg-5933	214	15	curve	curve	NOUN
fuelectenerg-5933	214	16	)	)	PUNCT
fuelectenerg-5933	214	17	with	with	ADP
fuelectenerg-5933	214	18	a	a	DET
fuelectenerg-5933	214	19	somewhat	somewhat	ADV
fuelectenerg-5933	214	20	poorer	poor	ADJ
fuelectenerg-5933	214	21	fit	fit	ADJ
fuelectenerg-5933	214	22	.	.	PUNCT
fuelectenerg-5933	215	1	again	again	ADV
fuelectenerg-5933	215	2	,	,	PUNCT
fuelectenerg-5933	215	3	this	this	PRON
fuelectenerg-5933	215	4	reduces	reduce	VERB
fuelectenerg-5933	215	5	the	the	DET
fuelectenerg-5933	215	6	number	number	NOUN
fuelectenerg-5933	215	7	of	of	ADP
fuelectenerg-5933	215	8	variables	variable	NOUN
fuelectenerg-5933	215	9	by	by	ADP
fuelectenerg-5933	215	10	one	one	NUM
fuelectenerg-5933	215	11	while	while	SCONJ
fuelectenerg-5933	215	12	delivering	deliver	VERB
fuelectenerg-5933	215	13	better	well	ADJ
fuelectenerg-5933	215	14	capability	capability	NOUN
fuelectenerg-5933	215	15	to	to	PART
fuelectenerg-5933	215	16	model	model	VERB
fuelectenerg-5933	215	17	profiles	profile	NOUN
fuelectenerg-5933	215	18	with	with	ADP
fuelectenerg-5933	215	19	a	a	DET
fuelectenerg-5933	215	20	sharp	sharp	ADJ
fuelectenerg-5933	215	21	flare	flare	NOUN
fuelectenerg-5933	215	22	at	at	ADP
fuelectenerg-5933	215	23	one	one	NUM
fuelectenerg-5933	215	24	end	end	NOUN
fuelectenerg-5933	215	25	compared	compare	VERB
fuelectenerg-5933	215	26	with	with	ADP
fuelectenerg-5933	215	27	the	the	DET
fuelectenerg-5933	215	28	parabolic	parabolic	ADJ
fuelectenerg-5933	215	29	form	form	NOUN
fuelectenerg-5933	215	30	(	(	PUNCT
fuelectenerg-5933	215	31	gray	gray	ADJ
fuelectenerg-5933	215	32	curve	curve	NOUN
fuelectenerg-5933	215	33	)	)	PUNCT
fuelectenerg-5933	215	34	.	.	PUNCT
fuelectenerg-5933	216	1	the	the	DET
fuelectenerg-5933	216	2	best	well	ADV
fuelectenerg-5933	216	3	-	-	PUNCT
fuelectenerg-5933	216	4	fit	fit	ADJ
fuelectenerg-5933	216	5	parabola	parabola	NOUN
fuelectenerg-5933	216	6	gives	give	VERB
fuelectenerg-5933	216	7	a	a	DET
fuelectenerg-5933	216	8	much	much	ADV
fuelectenerg-5933	216	9	closer	close	ADJ
fuelectenerg-5933	216	10	approximation	approximation	NOUN
fuelectenerg-5933	216	11	to	to	ADP
fuelectenerg-5933	216	12	the	the	DET
fuelectenerg-5933	216	13	data	datum	NOUN
fuelectenerg-5933	216	14	when	when	SCONJ
fuelectenerg-5933	216	15	plotted	plot	VERB
fuelectenerg-5933	216	16	against	against	ADP
fuelectenerg-5933	216	17	n	n	CCONJ
fuelectenerg-5933	216	18	,	,	PUNCT
fuelectenerg-5933	216	19	compared	compare	VERB
fuelectenerg-5933	216	20	with	with	ADP
fuelectenerg-5933	216	21	plotting	plot	VERB
fuelectenerg-5933	216	22	against	against	ADP
fuelectenerg-5933	216	23	z	z	PROPN
fuelectenerg-5933	216	24	(	(	PUNCT
fuelectenerg-5933	216	25	fig	fig	NOUN
fuelectenerg-5933	216	26	.	.	PUNCT
fuelectenerg-5933	217	1	8)	8)	NUM
fuelectenerg-5933	217	2	.	.	NOUN
fuelectenerg-5933	217	3	4	4	NUM
fuelectenerg-5933	217	4	.	.	X
fuelectenerg-5933	217	5	exponential	exponential	ADJ
fuelectenerg-5933	217	6	forms	form	NOUN
fuelectenerg-5933	217	7	4.1	4.1	NUM
fuelectenerg-5933	217	8	.	.	PUNCT
fuelectenerg-5933	218	1	exponential	exponential	ADJ
fuelectenerg-5933	218	2	-	-	PUNCT
fuelectenerg-5933	218	3	plus	plus	CCONJ
fuelectenerg-5933	218	4	-	-	PUNCT
fuelectenerg-5933	218	5	linear	linear	NOUN
fuelectenerg-5933	218	6	equations	equation	NOUN
fuelectenerg-5933	218	7	an	an	DET
fuelectenerg-5933	218	8	exponential	exponential	ADJ
fuelectenerg-5933	218	9	term	term	NOUN
fuelectenerg-5933	218	10	may	may	AUX
fuelectenerg-5933	218	11	be	be	AUX
fuelectenerg-5933	218	12	substituted	substitute	VERB
fuelectenerg-5933	218	13	for	for	ADP
fuelectenerg-5933	218	14	the	the	DET
fuelectenerg-5933	218	15	power	power	NOUN
fuelectenerg-5933	218	16	-	-	PUNCT
fuelectenerg-5933	218	17	law	law	NOUN
fuelectenerg-5933	218	18	term	term	NOUN
fuelectenerg-5933	218	19	in	in	ADP
fuelectenerg-5933	218	20	eqs	eqs	X
fuelectenerg-5933	218	21	(	(	PUNCT
fuelectenerg-5933	218	22	15	15	NUM
fuelectenerg-5933	218	23	)	)	PUNCT
fuelectenerg-5933	218	24	and	and	CCONJ
fuelectenerg-5933	218	25	(	(	PUNCT
fuelectenerg-5933	218	26	16	16	NUM
fuelectenerg-5933	218	27	)	)	PUNCT
fuelectenerg-5933	218	28	.	.	PUNCT
fuelectenerg-5933	219	1	for	for	ADP
fuelectenerg-5933	219	2	this	this	DET
fuelectenerg-5933	219	3	purpose	purpose	NOUN
fuelectenerg-5933	219	4	,	,	PUNCT
fuelectenerg-5933	219	5	it	it	PRON
fuelectenerg-5933	219	6	is	be	AUX
fuelectenerg-5933	219	7	convenient	convenient	ADJ
fuelectenerg-5933	219	8	to	to	PART
fuelectenerg-5933	219	9	define	define	VERB
fuelectenerg-5933	219	10	a	a	DET
fuelectenerg-5933	219	11	normalized	normalize	VERB
fuelectenerg-5933	219	12	exponential	exponential	ADJ
fuelectenerg-5933	219	13	function	function	NOUN
fuelectenerg-5933	219	14	for	for	ADP
fuelectenerg-5933	219	15	each	each	DET
fuelectenerg-5933	219	16	equation	equation	NOUN
fuelectenerg-5933	219	17	:	:	PUNCT
fuelectenerg-5933	219	18	e	e	X
fuelectenerg-5933	219	19	r	r	X
fuelectenerg-5933	219	20	(	(	PUNCT
fuelectenerg-5933	219	21	z	z	NOUN
fuelectenerg-5933	219	22	)	)	PUNCT
fuelectenerg-5933	219	23	=	=	SYM
fuelectenerg-5933	219	24	ecz	ecz	INTJ
fuelectenerg-5933	219	25	-1	-1	INTJ
fuelectenerg-5933	219	26	ec	ec	PROPN
fuelectenerg-5933	219	27	-1	-1	PUNCT
fuelectenerg-5933	219	28	(	(	PUNCT
fuelectenerg-5933	219	29	radius	radius	NOUN
fuelectenerg-5933	219	30	)	)	PUNCT
fuelectenerg-5933	219	31	(	(	PUNCT
fuelectenerg-5933	219	32	21	21	NUM
fuelectenerg-5933	219	33	)	)	PUNCT
fuelectenerg-5933	219	34	e	e	NOUN
fuelectenerg-5933	219	35	p	p	X
fuelectenerg-5933	219	36	(	(	PUNCT
fuelectenerg-5933	219	37	z	z	NOUN
fuelectenerg-5933	219	38	)	)	PUNCT
fuelectenerg-5933	219	39	=	=	SYM
fuelectenerg-5933	219	40	edz	edz	PROPN
fuelectenerg-5933	219	41	-1	-1	PROPN
fuelectenerg-5933	220	1	ed	ed	NOUN
fuelectenerg-5933	220	2	-1	-1	PROPN
fuelectenerg-5933	220	3	(	(	PUNCT
fuelectenerg-5933	220	4	pitch	pitch	NOUN
fuelectenerg-5933	220	5	)	)	PUNCT
fuelectenerg-5933	220	6	(	(	PUNCT
fuelectenerg-5933	220	7	22	22	NUM
fuelectenerg-5933	220	8	)	)	PUNCT
fuelectenerg-5933	221	1	where	where	SCONJ
fuelectenerg-5933	221	2	0	0	NUM
fuelectenerg-5933	221	3	≤	≤	NUM
fuelectenerg-5933	221	4	e	e	NOUN
fuelectenerg-5933	221	5	≤	≤	X
fuelectenerg-5933	221	6	1	1	NUM
fuelectenerg-5933	221	7	in	in	ADP
fuelectenerg-5933	221	8	the	the	DET
fuelectenerg-5933	221	9	range	range	NOUN
fuelectenerg-5933	221	10	0	0	NUM
fuelectenerg-5933	221	11	≤	≤	NUM
fuelectenerg-5933	221	12	z	z	NOUN
fuelectenerg-5933	221	13	≤	≤	NUM
fuelectenerg-5933	221	14	1	1	NUM
fuelectenerg-5933	221	15	and	and	CCONJ
fuelectenerg-5933	221	16	c	c	PROPN
fuelectenerg-5933	221	17	and	and	CCONJ
fuelectenerg-5933	221	18	d	d	PROPN
fuelectenerg-5933	221	19	are	be	AUX
fuelectenerg-5933	221	20	the	the	DET
fuelectenerg-5933	221	21	exponential	exponential	ADJ
fuelectenerg-5933	221	22	constants	constant	NOUN
fuelectenerg-5933	221	23	to	to	PART
fuelectenerg-5933	221	24	be	be	AUX
fuelectenerg-5933	221	25	optimized	optimize	VERB
fuelectenerg-5933	221	26	.	.	PUNCT
fuelectenerg-5933	222	1	these	these	DET
fuelectenerg-5933	222	2	constants	constant	NOUN
fuelectenerg-5933	222	3	may	may	AUX
fuelectenerg-5933	222	4	be	be	AUX
fuelectenerg-5933	222	5	positive	positive	ADJ
fuelectenerg-5933	222	6	or	or	CCONJ
fuelectenerg-5933	222	7	negative	negative	ADJ
fuelectenerg-5933	222	8	,	,	PUNCT
fuelectenerg-5933	222	9	unlike	unlike	ADP
fuelectenerg-5933	222	10	for	for	ADP
fuelectenerg-5933	222	11	the	the	DET
fuelectenerg-5933	222	12	power	power	NOUN
fuelectenerg-5933	222	13	-	-	PUNCT
fuelectenerg-5933	222	14	law	law	NOUN
fuelectenerg-5933	222	15	form	form	NOUN
fuelectenerg-5933	222	16	where	where	SCONJ
fuelectenerg-5933	222	17	they	they	PRON
fuelectenerg-5933	222	18	are	be	AUX
fuelectenerg-5933	222	19	constrained	constrain	VERB
fuelectenerg-5933	222	20	to	to	PART
fuelectenerg-5933	222	21	be	be	AUX
fuelectenerg-5933	222	22	positive	positive	ADJ
fuelectenerg-5933	222	23	only	only	ADV
fuelectenerg-5933	222	24	.	.	PUNCT
fuelectenerg-5933	223	1	the	the	DET
fuelectenerg-5933	223	2	normalized	normalize	VERB
fuelectenerg-5933	223	3	form	form	NOUN
fuelectenerg-5933	223	4	allows	allow	VERB
fuelectenerg-5933	223	5	generation	generation	NOUN
fuelectenerg-5933	223	6	of	of	ADP
fuelectenerg-5933	223	7	curves	curve	NOUN
fuelectenerg-5933	223	8	that	that	PRON
fuelectenerg-5933	223	9	pass	pass	VERB
fuelectenerg-5933	223	10	through	through	ADP
fuelectenerg-5933	223	11	specified	specified	ADJ
fuelectenerg-5933	223	12	points	point	NOUN
fuelectenerg-5933	223	13	at	at	ADP
fuelectenerg-5933	223	14	z	z	PROPN
fuelectenerg-5933	223	15	=	=	SYM
fuelectenerg-5933	223	16	0	0	NUM
fuelectenerg-5933	223	17	and	and	CCONJ
fuelectenerg-5933	223	18	z	z	NOUN
fuelectenerg-5933	223	19	=	=	NOUN
fuelectenerg-5933	223	20	1	1	NUM
fuelectenerg-5933	223	21	.	.	PUNCT
fuelectenerg-5933	224	1	thus	thus	ADV
fuelectenerg-5933	224	2	,	,	PUNCT
fuelectenerg-5933	224	3	the	the	DET
fuelectenerg-5933	224	4	radius	radius	NOUN
fuelectenerg-5933	224	5	and	and	CCONJ
fuelectenerg-5933	224	6	pitch	pitch	NOUN
fuelectenerg-5933	224	7	constraints	constraint	NOUN
fuelectenerg-5933	224	8	become	become	VERB
fuelectenerg-5933	224	9	:	:	PUNCT
fuelectenerg-5933	224	10	r=	r=	ADJ
fuelectenerg-5933	224	11	k	k	NOUN
fuelectenerg-5933	224	12	r	r	NOUN
fuelectenerg-5933	224	13	e	e	NOUN
fuelectenerg-5933	224	14	r	r	NOUN
fuelectenerg-5933	224	15	(	(	PUNCT
fuelectenerg-5933	224	16	z)+	z)+	NUM
fuelectenerg-5933	224	17	(	(	PUNCT
fuelectenerg-5933	224	18	a	a	DET
fuelectenerg-5933	224	19	r	r	NOUN
fuelectenerg-5933	224	20	k	k	NOUN
fuelectenerg-5933	224	21	r	r	NOUN
fuelectenerg-5933	224	22	)	)	PUNCT
fuelectenerg-5933	224	23	z	z	NOUN
fuelectenerg-5933	225	1	+1	+1	NOUN
fuelectenerg-5933	225	2	(	(	PUNCT
fuelectenerg-5933	225	3	23	23	NUM
fuelectenerg-5933	225	4	)	)	PUNCT
fuelectenerg-5933	226	1	p	p	NOUN
fuelectenerg-5933	226	2	=	=	PUNCT
fuelectenerg-5933	226	3	k	k	PROPN
fuelectenerg-5933	226	4	p	p	X
fuelectenerg-5933	226	5	e	e	X
fuelectenerg-5933	226	6	p	p	X
fuelectenerg-5933	226	7	(	(	PUNCT
fuelectenerg-5933	226	8	z)+	z)+	NUM
fuelectenerg-5933	226	9	(	(	PUNCT
fuelectenerg-5933	226	10	a	a	DET
fuelectenerg-5933	226	11	p	p	X
fuelectenerg-5933	226	12	k	k	PROPN
fuelectenerg-5933	226	13	p	p	NOUN
fuelectenerg-5933	226	14	)	)	PUNCT
fuelectenerg-5933	226	15	z	z	PROPN
fuelectenerg-5933	226	16	+1=	+1=	PROPN
fuelectenerg-5933	226	17	dz	dz	PROPN
fuelectenerg-5933	226	18	dn	dn	PROPN
fuelectenerg-5933	226	19	(	(	PUNCT
fuelectenerg-5933	226	20	24	24	NUM
fuelectenerg-5933	226	21	)	)	PUNCT
fuelectenerg-5933	226	22	4.2	4.2	NUM
fuelectenerg-5933	226	23	.	.	PUNCT
fuelectenerg-5933	227	1	n	n	CCONJ
fuelectenerg-5933	227	2	-	-	PUNCT
fuelectenerg-5933	227	3	form	form	NOUN
fuelectenerg-5933	227	4	of	of	ADP
fuelectenerg-5933	227	5	exponential	exponential	NOUN
fuelectenerg-5933	227	6	-	-	PUNCT
fuelectenerg-5933	227	7	plus	plus	CCONJ
fuelectenerg-5933	227	8	-	-	PUNCT
fuelectenerg-5933	227	9	linear	linear	NOUN
fuelectenerg-5933	227	10	equations	equation	NOUN
fuelectenerg-5933	227	11	as	as	ADP
fuelectenerg-5933	227	12	with	with	ADP
fuelectenerg-5933	227	13	the	the	DET
fuelectenerg-5933	227	14	power	power	NOUN
fuelectenerg-5933	227	15	-	-	PUNCT
fuelectenerg-5933	227	16	law	law	NOUN
fuelectenerg-5933	227	17	-	-	PUNCT
fuelectenerg-5933	227	18	plus	plus	CCONJ
fuelectenerg-5933	227	19	-	-	PUNCT
fuelectenerg-5933	227	20	linear	linear	NOUN
fuelectenerg-5933	227	21	form	form	NOUN
fuelectenerg-5933	227	22	,	,	PUNCT
fuelectenerg-5933	227	23	the	the	DET
fuelectenerg-5933	227	24	analytical	analytical	ADJ
fuelectenerg-5933	227	25	difficulty	difficulty	NOUN
fuelectenerg-5933	227	26	in	in	ADP
fuelectenerg-5933	227	27	integrating	integrate	VERB
fuelectenerg-5933	227	28	the	the	DET
fuelectenerg-5933	227	29	rearranged	rearranged	NOUN
fuelectenerg-5933	227	30	eq	eq	ADP
fuelectenerg-5933	227	31	.	.	PUNCT
fuelectenerg-5933	228	1	(	(	PUNCT
fuelectenerg-5933	228	2	24	24	NUM
fuelectenerg-5933	228	3	)	)	PUNCT
fuelectenerg-5933	228	4	to	to	PART
fuelectenerg-5933	228	5	obtain	obtain	VERB
fuelectenerg-5933	228	6	z(n	z(n	NOUN
fuelectenerg-5933	228	7	)	)	PUNCT
fuelectenerg-5933	228	8	and	and	CCONJ
fuelectenerg-5933	228	9	n(z	n(z	NOUN
fuelectenerg-5933	228	10	)	)	PUNCT
fuelectenerg-5933	228	11	may	may	AUX
fuelectenerg-5933	228	12	be	be	AUX
fuelectenerg-5933	228	13	avoided	avoid	VERB
fuelectenerg-5933	228	14	by	by	ADP
fuelectenerg-5933	228	15	re	re	VERB
fuelectenerg-5933	228	16	-	-	VERB
fuelectenerg-5933	228	17	stating	state	VERB
fuelectenerg-5933	228	18	the	the	DET
fuelectenerg-5933	228	19	nondimensional	nondimensional	ADJ
fuelectenerg-5933	228	20	radius	radius	NOUN
fuelectenerg-5933	228	21	and	and	CCONJ
fuelectenerg-5933	228	22	pitch	pitch	NOUN
fuelectenerg-5933	228	23	directly	directly	ADV
fuelectenerg-5933	228	24	in	in	ADP
fuelectenerg-5933	228	25	terms	term	NOUN
fuelectenerg-5933	228	26	of	of	ADP
fuelectenerg-5933	228	27	the	the	DET
fuelectenerg-5933	228	28	normalized	normalize	VERB
fuelectenerg-5933	228	29	turn	turn	NOUN
fuelectenerg-5933	228	30	number	number	NOUN
fuelectenerg-5933	228	31	n	n	CCONJ
fuelectenerg-5933	228	32	:	:	PUNCT
fuelectenerg-5933	228	33	r=	r=	ADJ
fuelectenerg-5933	228	34	k	k	NOUN
fuelectenerg-5933	228	35	r	r	NOUN
fuelectenerg-5933	228	36	e	e	NOUN
fuelectenerg-5933	228	37	r	r	NOUN
fuelectenerg-5933	228	38	(	(	PUNCT
fuelectenerg-5933	228	39	n)+	n)+	NOUN
fuelectenerg-5933	228	40	(	(	PUNCT
fuelectenerg-5933	228	41	a	a	DET
fuelectenerg-5933	228	42	r	r	NOUN
fuelectenerg-5933	228	43	k	k	NOUN
fuelectenerg-5933	228	44	r	r	NOUN
fuelectenerg-5933	228	45	)	)	PUNCT
fuelectenerg-5933	228	46	n+1	n+1	PROPN
fuelectenerg-5933	228	47	(	(	PUNCT
fuelectenerg-5933	228	48	25	25	NUM
fuelectenerg-5933	228	49	)	)	PUNCT
fuelectenerg-5933	228	50	542	542	NUM
fuelectenerg-5933	228	51	g.	g.	PROPN
fuelectenerg-5933	228	52	e.	e.	PROPN
fuelectenerg-5933	229	1	innes	innes	PROPN
fuelectenerg-5933	230	1	p	p	PROPN
fuelectenerg-5933	231	1	=	=	PUNCT
fuelectenerg-5933	231	2	k	k	PROPN
fuelectenerg-5933	231	3	p	p	X
fuelectenerg-5933	231	4	e	e	X
fuelectenerg-5933	231	5	p	p	X
fuelectenerg-5933	231	6	(	(	PUNCT
fuelectenerg-5933	231	7	n)+	n)+	NOUN
fuelectenerg-5933	231	8	(	(	PUNCT
fuelectenerg-5933	231	9	a	a	DET
fuelectenerg-5933	231	10	p	p	X
fuelectenerg-5933	231	11	k	k	PROPN
fuelectenerg-5933	231	12	p	p	NOUN
fuelectenerg-5933	231	13	)	)	PUNCT
fuelectenerg-5933	232	1	n+1=	n+1=	PROPN
fuelectenerg-5933	232	2	1	1	NUM
fuelectenerg-5933	232	3	n	n	NOUN
fuelectenerg-5933	232	4	tot	tot	VERB
fuelectenerg-5933	232	5	dz	dz	ADJ
fuelectenerg-5933	232	6	dn	dn	PROPN
fuelectenerg-5933	232	7	(	(	PUNCT
fuelectenerg-5933	232	8	26	26	NUM
fuelectenerg-5933	232	9	)	)	PUNCT
fuelectenerg-5933	232	10	this	this	PRON
fuelectenerg-5933	232	11	may	may	AUX
fuelectenerg-5933	232	12	be	be	AUX
fuelectenerg-5933	232	13	rearranged	rearrange	VERB
fuelectenerg-5933	232	14	,	,	PUNCT
fuelectenerg-5933	232	15	integrated	integrate	VERB
fuelectenerg-5933	232	16	and	and	CCONJ
fuelectenerg-5933	232	17	the	the	DET
fuelectenerg-5933	232	18	boundary	boundary	ADJ
fuelectenerg-5933	232	19	condition	condition	NOUN
fuelectenerg-5933	232	20	applied	apply	VERB
fuelectenerg-5933	232	21	n	n	NOUN
fuelectenerg-5933	232	22	=	=	SYM
fuelectenerg-5933	232	23	0	0	NUM
fuelectenerg-5933	233	1	at	at	ADP
fuelectenerg-5933	233	2	z	z	NOUN
fuelectenerg-5933	233	3	=	=	SYM
fuelectenerg-5933	233	4	0	0	NUM
fuelectenerg-5933	233	5	to	to	PART
fuelectenerg-5933	233	6	give	give	VERB
fuelectenerg-5933	233	7	:	:	PUNCT
fuelectenerg-5933	233	8	2	2	NUM
fuelectenerg-5933	233	9	(	(	PUNCT
fuelectenerg-5933	233	10	)	)	PUNCT
fuelectenerg-5933	233	11	21	21	NUM
fuelectenerg-5933	234	1	p	p	NOUN
fuelectenerg-5933	234	2	p	p	X
fuelectenerg-5933	234	3	p	p	X
fuelectenerg-5933	234	4	tot	tot	NOUN
fuelectenerg-5933	234	5	p	p	X
fuelectenerg-5933	234	6	d	d	PROPN
fuelectenerg-5933	234	7	e	e	PROPN
fuelectenerg-5933	234	8	a	a	PROPN
fuelectenerg-5933	234	9	k	k	PROPN
fuelectenerg-5933	234	10	z	z	PROPN
fuelectenerg-5933	234	11	n	n	PROPN
fuelectenerg-5933	234	12	k	k	PROPN
fuelectenerg-5933	234	13	d	d	X
fuelectenerg-5933	234	14	e	e	PROPN
fuelectenerg-5933	234	15			PROPN
fuelectenerg-5933	234	16	−	−	PROPN
fuelectenerg-5933	234	17			PROPN
fuelectenerg-5933	234	18			PROPN
fuelectenerg-5933	234	19	=	=	PUNCT
fuelectenerg-5933	234	20	−	−	PROPN
fuelectenerg-5933	235	1	+	+	CCONJ
fuelectenerg-5933	235	2	+	+	ADJ
fuelectenerg-5933	235	3			NOUN
fuelectenerg-5933	235	4			NOUN
fuelectenerg-5933	235	5			PROPN
fuelectenerg-5933	235	6	−	−	PRON
fuelectenerg-5933	235	7			NOUN
fuelectenerg-5933	236	1			PROPN
fuelectenerg-5933	236	2			PROPN
fuelectenerg-5933	236	3	n	n	CCONJ
fuelectenerg-5933	236	4	n	n	CCONJ
fuelectenerg-5933	236	5	n	n	CCONJ
fuelectenerg-5933	236	6	n	n	CCONJ
fuelectenerg-5933	236	7	(	(	PUNCT
fuelectenerg-5933	236	8	27	27	NUM
fuelectenerg-5933	236	9	)	)	PUNCT
fuelectenerg-5933	236	10	and	and	CCONJ
fuelectenerg-5933	236	11	ntot	ntot	PROPN
fuelectenerg-5933	236	12	is	be	AUX
fuelectenerg-5933	236	13	readily	readily	ADV
fuelectenerg-5933	236	14	found	find	VERB
fuelectenerg-5933	236	15	:	:	PUNCT
fuelectenerg-5933	236	16	1	1	NUM
fuelectenerg-5933	236	17	1	1	NUM
fuelectenerg-5933	236	18	1	1	NUM
fuelectenerg-5933	236	19	1	1	NUM
fuelectenerg-5933	236	20	21	21	NUM
fuelectenerg-5933	236	21	p	p	NOUN
fuelectenerg-5933	236	22	p	p	PROPN
fuelectenerg-5933	236	23	tot	tot	NOUN
fuelectenerg-5933	236	24	p	p	PROPN
fuelectenerg-5933	237	1	d	d	PROPN
fuelectenerg-5933	237	2	a	a	DET
fuelectenerg-5933	237	3	k	k	PROPN
fuelectenerg-5933	237	4	n	n	PROPN
fuelectenerg-5933	237	5	k	k	PROPN
fuelectenerg-5933	237	6	d	d	X
fuelectenerg-5933	237	7	e	e	NOUN
fuelectenerg-5933	237	8	−	−	PROPN
fuelectenerg-5933	238	1	−	−	PRON
fuelectenerg-5933	239	1			PROPN
fuelectenerg-5933	240	1			NOUN
fuelectenerg-5933	240	2	=	=	PUNCT
fuelectenerg-5933	241	1	−	−	PROPN
fuelectenerg-5933	242	1	+	+	CCONJ
fuelectenerg-5933	242	2	+	+	ADJ
fuelectenerg-5933	242	3			NOUN
fuelectenerg-5933	242	4			NOUN
fuelectenerg-5933	243	1			PROPN
fuelectenerg-5933	243	2	−	−	PROPN
fuelectenerg-5933	243	3			PROPN
fuelectenerg-5933	243	4			PROPN
fuelectenerg-5933	243	5	(	(	PUNCT
fuelectenerg-5933	243	6	28	28	NUM
fuelectenerg-5933	243	7	)	)	PUNCT
fuelectenerg-5933	243	8	figs	fig	NOUN
fuelectenerg-5933	243	9	16	16	NUM
fuelectenerg-5933	243	10	and	and	CCONJ
fuelectenerg-5933	243	11	17	17	NUM
fuelectenerg-5933	243	12	reveal	reveal	VERB
fuelectenerg-5933	243	13	this	this	DET
fuelectenerg-5933	243	14	form	form	NOUN
fuelectenerg-5933	243	15	obtains	obtain	VERB
fuelectenerg-5933	243	16	a	a	DET
fuelectenerg-5933	243	17	comparably	comparably	ADV
fuelectenerg-5933	243	18	close	close	ADJ
fuelectenerg-5933	243	19	fit	fit	ADJ
fuelectenerg-5933	243	20	to	to	ADP
fuelectenerg-5933	243	21	the	the	DET
fuelectenerg-5933	243	22	optimized	optimize	VERB
fuelectenerg-5933	243	23	yagiuda	yagiuda	NOUN
fuelectenerg-5933	243	24	data	datum	NOUN
fuelectenerg-5933	243	25	as	as	ADP
fuelectenerg-5933	243	26	the	the	DET
fuelectenerg-5933	243	27	power	power	NOUN
fuelectenerg-5933	243	28	-	-	PUNCT
fuelectenerg-5933	243	29	law	law	NOUN
fuelectenerg-5933	243	30	-	-	PUNCT
fuelectenerg-5933	243	31	plus	plus	CCONJ
fuelectenerg-5933	243	32	-	-	PUNCT
fuelectenerg-5933	243	33	linear	linear	NOUN
fuelectenerg-5933	243	34	form	form	NOUN
fuelectenerg-5933	243	35	.	.	PUNCT
fuelectenerg-5933	244	1	the	the	DET
fuelectenerg-5933	244	2	rms	rm	NOUN
fuelectenerg-5933	244	3	error	error	NOUN
fuelectenerg-5933	244	4	in	in	ADP
fuelectenerg-5933	244	5	element	element	ADJ
fuelectenerg-5933	244	6	length	length	NOUN
fuelectenerg-5933	244	7	is	be	AUX
fuelectenerg-5933	244	8	0.588	0.588	NUM
fuelectenerg-5933	244	9	percent	percent	NOUN
fuelectenerg-5933	244	10	with	with	ADP
fuelectenerg-5933	244	11	the	the	DET
fuelectenerg-5933	244	12	exponential	exponential	ADJ
fuelectenerg-5933	244	13	-	-	PUNCT
fuelectenerg-5933	244	14	plus	plus	CCONJ
fuelectenerg-5933	244	15	-	-	PUNCT
fuelectenerg-5933	244	16	linear	linear	NOUN
fuelectenerg-5933	244	17	form	form	NOUN
fuelectenerg-5933	244	18	,	,	PUNCT
fuelectenerg-5933	244	19	fig	fig	NOUN
fuelectenerg-5933	244	20	.	.	PUNCT
fuelectenerg-5933	245	1	16	16	NUM
fuelectenerg-5933	245	2	.	.	PUNCT
fuelectenerg-5933	246	1	it	it	PRON
fuelectenerg-5933	246	2	is	be	AUX
fuelectenerg-5933	246	3	noted	note	VERB
fuelectenerg-5933	246	4	that	that	SCONJ
fuelectenerg-5933	246	5	eq	eq	ADP
fuelectenerg-5933	246	6	.	.	PUNCT
fuelectenerg-5933	247	1	(	(	PUNCT
fuelectenerg-5933	247	2	27	27	NUM
fuelectenerg-5933	247	3	)	)	PUNCT
fuelectenerg-5933	247	4	does	do	AUX
fuelectenerg-5933	247	5	not	not	PART
fuelectenerg-5933	247	6	reduce	reduce	VERB
fuelectenerg-5933	247	7	to	to	ADP
fuelectenerg-5933	247	8	eq	eq	NOUN
fuelectenerg-5933	247	9	.	.	PUNCT
fuelectenerg-5933	248	1	(	(	PUNCT
fuelectenerg-5933	248	2	8)	8)	NUM
fuelectenerg-5933	248	3	,	,	PUNCT
fuelectenerg-5933	248	4	as	as	SCONJ
fuelectenerg-5933	248	5	these	these	DET
fuelectenerg-5933	248	6	expressions	expression	NOUN
fuelectenerg-5933	248	7	were	be	AUX
fuelectenerg-5933	248	8	formulated	formulate	VERB
fuelectenerg-5933	248	9	differently	differently	ADV
fuelectenerg-5933	248	10	.	.	PUNCT
fuelectenerg-5933	249	1	4.3	4.3	NUM
fuelectenerg-5933	249	2	.	.	PUNCT
fuelectenerg-5933	249	3	simplified	simplify	VERB
fuelectenerg-5933	249	4	exponential	exponential	ADJ
fuelectenerg-5933	249	5	forms	form	NOUN
fuelectenerg-5933	249	6	as	as	ADP
fuelectenerg-5933	249	7	in	in	ADP
fuelectenerg-5933	249	8	subsection	subsection	NOUN
fuelectenerg-5933	249	9	3.3	3.3	NUM
fuelectenerg-5933	249	10	,	,	PUNCT
fuelectenerg-5933	249	11	applying	apply	VERB
fuelectenerg-5933	249	12	the	the	DET
fuelectenerg-5933	249	13	simplification	simplification	NOUN
fuelectenerg-5933	249	14	kr	kr	PROPN
fuelectenerg-5933	249	15	=	=	SYM
fuelectenerg-5933	249	16	ar	ar	PROPN
fuelectenerg-5933	249	17	to	to	ADP
fuelectenerg-5933	249	18	the	the	DET
fuelectenerg-5933	249	19	radius	radius	NOUN
fuelectenerg-5933	249	20	constraint	constraint	NOUN
fuelectenerg-5933	249	21	allows	allow	VERB
fuelectenerg-5933	249	22	the	the	DET
fuelectenerg-5933	249	23	number	number	NOUN
fuelectenerg-5933	249	24	of	of	ADP
fuelectenerg-5933	249	25	variables	variable	NOUN
fuelectenerg-5933	249	26	to	to	PART
fuelectenerg-5933	249	27	be	be	AUX
fuelectenerg-5933	249	28	reduced	reduce	VERB
fuelectenerg-5933	249	29	by	by	ADP
fuelectenerg-5933	249	30	one	one	NUM
fuelectenerg-5933	249	31	.	.	PUNCT
fuelectenerg-5933	250	1	fig	fig	NOUN
fuelectenerg-5933	250	2	.	.	PUNCT
fuelectenerg-5933	251	1	16	16	NUM
fuelectenerg-5933	251	2	reveals	reveal	VERB
fuelectenerg-5933	251	3	the	the	DET
fuelectenerg-5933	251	4	exponential	exponential	ADJ
fuelectenerg-5933	251	5	-	-	PUNCT
fuelectenerg-5933	251	6	plusconstant	plusconstant	ADJ
fuelectenerg-5933	251	7	form	form	NOUN
fuelectenerg-5933	251	8	(	(	PUNCT
fuelectenerg-5933	251	9	dashed	dash	VERB
fuelectenerg-5933	251	10	curve	curve	NOUN
fuelectenerg-5933	251	11	)	)	PUNCT
fuelectenerg-5933	251	12	is	be	AUX
fuelectenerg-5933	251	13	noticeably	noticeably	ADV
fuelectenerg-5933	251	14	better	well	ADJ
fuelectenerg-5933	251	15	than	than	ADP
fuelectenerg-5933	251	16	the	the	DET
fuelectenerg-5933	251	17	power	power	NOUN
fuelectenerg-5933	251	18	-	-	PUNCT
fuelectenerg-5933	251	19	law	law	NOUN
fuelectenerg-5933	251	20	-	-	PUNCT
fuelectenerg-5933	251	21	plus	plus	CCONJ
fuelectenerg-5933	251	22	-	-	PUNCT
fuelectenerg-5933	251	23	constant	constant	ADJ
fuelectenerg-5933	251	24	form	form	NOUN
fuelectenerg-5933	251	25	of	of	ADP
fuelectenerg-5933	251	26	fig	fig	NOUN
fuelectenerg-5933	251	27	.	.	PUNCT
fuelectenerg-5933	252	1	14	14	NUM
fuelectenerg-5933	252	2	.	.	PUNCT
fuelectenerg-5933	253	1	it	it	PRON
fuelectenerg-5933	253	2	would	would	AUX
fuelectenerg-5933	253	3	also	also	ADV
fuelectenerg-5933	253	4	be	be	AUX
fuelectenerg-5933	253	5	preferred	prefer	VERB
fuelectenerg-5933	253	6	over	over	ADP
fuelectenerg-5933	253	7	the	the	DET
fuelectenerg-5933	253	8	less	less	ADV
fuelectenerg-5933	253	9	accurate	accurate	ADJ
fuelectenerg-5933	253	10	parabolic	parabolic	NOUN
fuelectenerg-5933	253	11	form	form	NOUN
fuelectenerg-5933	253	12	(	(	PUNCT
fuelectenerg-5933	253	13	gray	gray	ADJ
fuelectenerg-5933	253	14	curve	curve	NOUN
fuelectenerg-5933	253	15	)	)	PUNCT
fuelectenerg-5933	253	16	.	.	PUNCT
fuelectenerg-5933	254	1	all	all	DET
fuelectenerg-5933	254	2	three	three	NUM
fuelectenerg-5933	254	3	of	of	ADP
fuelectenerg-5933	254	4	these	these	DET
fuelectenerg-5933	254	5	forms	form	NOUN
fuelectenerg-5933	254	6	involve	involve	VERB
fuelectenerg-5933	254	7	3	3	NUM
fuelectenerg-5933	254	8	variables	variable	NOUN
fuelectenerg-5933	254	9	to	to	PART
fuelectenerg-5933	254	10	be	be	AUX
fuelectenerg-5933	254	11	optimized	optimize	VERB
fuelectenerg-5933	254	12	.	.	PUNCT
fuelectenerg-5933	255	1	the	the	DET
fuelectenerg-5933	255	2	exponential	exponential	ADJ
fuelectenerg-5933	255	3	-	-	PUNCT
fuelectenerg-5933	255	4	plus	plus	CCONJ
fuelectenerg-5933	255	5	-	-	PUNCT
fuelectenerg-5933	255	6	linear	linear	NOUN
fuelectenerg-5933	255	7	curve	curve	NOUN
fuelectenerg-5933	255	8	in	in	ADP
fuelectenerg-5933	255	9	fig	fig	NOUN
fuelectenerg-5933	255	10	.	.	PUNCT
fuelectenerg-5933	255	11	17	17	NUM
fuelectenerg-5933	255	12	for	for	ADP
fuelectenerg-5933	255	13	the	the	DET
fuelectenerg-5933	255	14	element	element	NOUN
fuelectenerg-5933	255	15	spacing	space	VERB
fuelectenerg-5933	255	16	data	datum	NOUN
fuelectenerg-5933	255	17	is	be	AUX
fuelectenerg-5933	255	18	virtually	virtually	ADV
fuelectenerg-5933	255	19	identical	identical	ADJ
fuelectenerg-5933	255	20	to	to	ADP
fuelectenerg-5933	255	21	that	that	PRON
fuelectenerg-5933	255	22	generated	generate	VERB
fuelectenerg-5933	255	23	by	by	ADP
fuelectenerg-5933	255	24	the	the	DET
fuelectenerg-5933	255	25	exponential	exponential	ADJ
fuelectenerg-5933	255	26	-	-	PUNCT
fuelectenerg-5933	255	27	plus	plus	CCONJ
fuelectenerg-5933	255	28	-	-	PUNCT
fuelectenerg-5933	255	29	parabola	parabola	NOUN
fuelectenerg-5933	255	30	form	form	NOUN
fuelectenerg-5933	255	31	of	of	ADP
fuelectenerg-5933	255	32	eq	eq	PROPN
fuelectenerg-5933	255	33	.	.	PUNCT
fuelectenerg-5933	256	1	(	(	PUNCT
fuelectenerg-5933	256	2	27	27	NUM
fuelectenerg-5933	256	3	)	)	PUNCT
fuelectenerg-5933	256	4	.	.	PUNCT
fuelectenerg-5933	257	1	again	again	ADV
fuelectenerg-5933	257	2	,	,	PUNCT
fuelectenerg-5933	257	3	this	this	PRON
fuelectenerg-5933	257	4	suggests	suggest	VERB
fuelectenerg-5933	257	5	the	the	DET
fuelectenerg-5933	257	6	pitch	pitch	NOUN
fuelectenerg-5933	257	7	curvature	curvature	NOUN
fuelectenerg-5933	257	8	coefficient	coefficient	NOUN
fuelectenerg-5933	257	9	kp	kp	NOUN
fuelectenerg-5933	257	10	=	=	SYM
fuelectenerg-5933	257	11	ap	ap	PROPN
fuelectenerg-5933	257	12	for	for	ADP
fuelectenerg-5933	257	13	this	this	DET
fuelectenerg-5933	257	14	data	datum	NOUN
fuelectenerg-5933	257	15	set	set	VERB
fuelectenerg-5933	257	16	,	,	PUNCT
fuelectenerg-5933	257	17	which	which	PRON
fuelectenerg-5933	257	18	reduces	reduce	VERB
fuelectenerg-5933	257	19	the	the	DET
fuelectenerg-5933	257	20	number	number	NOUN
fuelectenerg-5933	257	21	of	of	ADP
fuelectenerg-5933	257	22	variables	variable	NOUN
fuelectenerg-5933	257	23	by	by	ADP
fuelectenerg-5933	257	24	one	one	NUM
fuelectenerg-5933	257	25	.	.	PUNCT
fuelectenerg-5933	258	1	fig	fig	NOUN
fuelectenerg-5933	258	2	.	.	PUNCT
fuelectenerg-5933	259	1	16	16	NUM
fuelectenerg-5933	259	2	optimized	optimize	VERB
fuelectenerg-5933	259	3	yagi	yagi	ADJ
fuelectenerg-5933	259	4	element	element	NOUN
fuelectenerg-5933	259	5	length	length	NOUN
fuelectenerg-5933	259	6	r	r	NOUN
fuelectenerg-5933	259	7	versus	versus	ADP
fuelectenerg-5933	259	8	normalized	normalize	VERB
fuelectenerg-5933	259	9	element	element	ADJ
fuelectenerg-5933	259	10	number	number	NOUN
fuelectenerg-5933	259	11	n	n	NUM
fuelectenerg-5933	259	12	with	with	ADP
fuelectenerg-5933	259	13	exponential	exponential	ADJ
fuelectenerg-5933	259	14	based	base	VERB
fuelectenerg-5933	259	15	curve	curve	NOUN
fuelectenerg-5933	259	16	-	-	PUNCT
fuelectenerg-5933	259	17	fits	fit	NOUN
fuelectenerg-5933	259	18	.	.	PUNCT
fuelectenerg-5933	260	1	fig	fig	NOUN
fuelectenerg-5933	260	2	.	.	PUNCT
fuelectenerg-5933	261	1	17	17	NUM
fuelectenerg-5933	261	2	optimized	optimize	VERB
fuelectenerg-5933	261	3	yagi	yagi	ADJ
fuelectenerg-5933	261	4	axial	axial	ADJ
fuelectenerg-5933	261	5	distance	distance	NOUN
fuelectenerg-5933	261	6	z	z	NOUN
fuelectenerg-5933	261	7	versus	versus	SCONJ
fuelectenerg-5933	261	8	normalized	normalize	VERB
fuelectenerg-5933	261	9	element	element	ADJ
fuelectenerg-5933	261	10	number	number	NOUN
fuelectenerg-5933	261	11	n	n	NUM
fuelectenerg-5933	261	12	with	with	ADP
fuelectenerg-5933	261	13	exponential	exponential	ADJ
fuelectenerg-5933	261	14	based	base	VERB
fuelectenerg-5933	261	15	curve	curve	NOUN
fuelectenerg-5933	261	16	-	-	PUNCT
fuelectenerg-5933	261	17	fits	fit	NOUN
fuelectenerg-5933	261	18	.	.	PUNCT
fuelectenerg-5933	262	1	higher	high	ADJ
fuelectenerg-5933	262	2	-	-	PUNCT
fuelectenerg-5933	262	3	order	order	NOUN
fuelectenerg-5933	262	4	structural	structural	ADJ
fuelectenerg-5933	262	5	constraints	constraint	NOUN
fuelectenerg-5933	262	6	for	for	ADP
fuelectenerg-5933	262	7	improved	improved	ADJ
fuelectenerg-5933	262	8	optimization	optimization	NOUN
fuelectenerg-5933	262	9	of	of	ADP
fuelectenerg-5933	262	10	nonuniform	nonuniform	ADJ
fuelectenerg-5933	262	11	helical	helical	ADJ
fuelectenerg-5933	262	12	antennas	antenna	NOUN
fuelectenerg-5933	262	13	543	543	NUM
fuelectenerg-5933	262	14	furthermore	furthermore	ADV
fuelectenerg-5933	262	15	,	,	PUNCT
fuelectenerg-5933	262	16	the	the	DET
fuelectenerg-5933	262	17	simplification	simplification	NOUN
fuelectenerg-5933	262	18	kp	kp	VERB
fuelectenerg-5933	262	19	=	=	PUNCT
fuelectenerg-5933	262	20	0	0	PROPN
fuelectenerg-5933	262	21	with	with	ADP
fuelectenerg-5933	262	22	ap	ap	PROPN
fuelectenerg-5933	262	23	≠	≠	PROPN
fuelectenerg-5933	262	24	0	0	NUM
fuelectenerg-5933	262	25	may	may	AUX
fuelectenerg-5933	262	26	be	be	AUX
fuelectenerg-5933	262	27	used	use	VERB
fuelectenerg-5933	262	28	,	,	PUNCT
fuelectenerg-5933	262	29	yielding	yield	VERB
fuelectenerg-5933	262	30	the	the	DET
fuelectenerg-5933	262	31	same	same	ADJ
fuelectenerg-5933	262	32	parabola	parabola	NOUN
fuelectenerg-5933	262	33	(	(	PUNCT
fuelectenerg-5933	262	34	dashed	dash	VERB
fuelectenerg-5933	262	35	curve	curve	NOUN
fuelectenerg-5933	262	36	)	)	PUNCT
fuelectenerg-5933	262	37	as	as	ADP
fuelectenerg-5933	262	38	in	in	ADP
fuelectenerg-5933	262	39	fig	fig	NOUN
fuelectenerg-5933	262	40	.	.	PUNCT
fuelectenerg-5933	263	1	15	15	NUM
fuelectenerg-5933	263	2	.	.	PUNCT
fuelectenerg-5933	264	1	this	this	DET
fuelectenerg-5933	264	2	choice	choice	NOUN
fuelectenerg-5933	264	3	reduces	reduce	VERB
fuelectenerg-5933	264	4	eq	eq	NOUN
fuelectenerg-5933	264	5	.	.	PUNCT
fuelectenerg-5933	265	1	(	(	PUNCT
fuelectenerg-5933	265	2	26	26	NUM
fuelectenerg-5933	265	3	)	)	PUNCT
fuelectenerg-5933	265	4	to	to	ADP
fuelectenerg-5933	265	5	the	the	DET
fuelectenerg-5933	265	6	linear	linear	ADJ
fuelectenerg-5933	265	7	form	form	NOUN
fuelectenerg-5933	265	8	,	,	PUNCT
fuelectenerg-5933	265	9	which	which	PRON
fuelectenerg-5933	265	10	has	have	VERB
fuelectenerg-5933	265	11	only	only	ADV
fuelectenerg-5933	265	12	2	2	NUM
fuelectenerg-5933	265	13	variables	variable	NOUN
fuelectenerg-5933	265	14	to	to	PART
fuelectenerg-5933	265	15	be	be	AUX
fuelectenerg-5933	265	16	optimized	optimize	VERB
fuelectenerg-5933	265	17	.	.	PUNCT
fuelectenerg-5933	266	1	further	further	ADJ
fuelectenerg-5933	266	2	subtle	subtle	ADJ
fuelectenerg-5933	266	3	improvements	improvement	NOUN
fuelectenerg-5933	266	4	to	to	ADP
fuelectenerg-5933	266	5	the	the	DET
fuelectenerg-5933	266	6	fit	fit	NOUN
fuelectenerg-5933	266	7	may	may	AUX
fuelectenerg-5933	266	8	be	be	AUX
fuelectenerg-5933	266	9	obtained	obtain	VERB
fuelectenerg-5933	266	10	with	with	ADP
fuelectenerg-5933	266	11	yet	yet	ADV
fuelectenerg-5933	266	12	higher	high	ADJ
fuelectenerg-5933	266	13	forms	form	NOUN
fuelectenerg-5933	266	14	,	,	PUNCT
fuelectenerg-5933	266	15	but	but	CCONJ
fuelectenerg-5933	266	16	at	at	ADP
fuelectenerg-5933	266	17	the	the	DET
fuelectenerg-5933	266	18	cost	cost	NOUN
fuelectenerg-5933	266	19	of	of	ADP
fuelectenerg-5933	266	20	adding	add	VERB
fuelectenerg-5933	266	21	more	more	ADJ
fuelectenerg-5933	266	22	variables	variable	NOUN
fuelectenerg-5933	266	23	to	to	PART
fuelectenerg-5933	266	24	be	be	AUX
fuelectenerg-5933	266	25	optimized	optimize	VERB
fuelectenerg-5933	266	26	.	.	PUNCT
fuelectenerg-5933	267	1	thus	thus	ADV
fuelectenerg-5933	267	2	it	it	PRON
fuelectenerg-5933	267	3	appears	appear	VERB
fuelectenerg-5933	267	4	a	a	DET
fuelectenerg-5933	267	5	satisfactory	satisfactory	ADJ
fuelectenerg-5933	267	6	level	level	NOUN
fuelectenerg-5933	267	7	of	of	ADP
fuelectenerg-5933	267	8	efficiency	efficiency	NOUN
fuelectenerg-5933	267	9	may	may	AUX
fuelectenerg-5933	267	10	be	be	AUX
fuelectenerg-5933	267	11	achieved	achieve	VERB
fuelectenerg-5933	267	12	,	,	PUNCT
fuelectenerg-5933	267	13	whereby	whereby	SCONJ
fuelectenerg-5933	267	14	a	a	DET
fuelectenerg-5933	267	15	near	near	ADV
fuelectenerg-5933	267	16	-	-	PUNCT
fuelectenerg-5933	267	17	perfect	perfect	ADJ
fuelectenerg-5933	267	18	approximation	approximation	NOUN
fuelectenerg-5933	267	19	to	to	ADP
fuelectenerg-5933	267	20	the	the	DET
fuelectenerg-5933	267	21	true	true	ADJ
fuelectenerg-5933	267	22	optimized	optimize	VERB
fuelectenerg-5933	267	23	data	datum	NOUN
fuelectenerg-5933	267	24	set	set	VERB
fuelectenerg-5933	267	25	results	result	NOUN
fuelectenerg-5933	267	26	from	from	ADP
fuelectenerg-5933	267	27	optimizing	optimize	VERB
fuelectenerg-5933	267	28	as	as	ADV
fuelectenerg-5933	267	29	few	few	ADJ
fuelectenerg-5933	267	30	as	as	ADP
fuelectenerg-5933	267	31	5	5	NUM
fuelectenerg-5933	267	32	variables	variable	NOUN
fuelectenerg-5933	267	33	:	:	PUNCT
fuelectenerg-5933	267	34	r1	r1	NOUN
fuelectenerg-5933	267	35	,	,	PUNCT
fuelectenerg-5933	267	36	r2	r2	PROPN
fuelectenerg-5933	267	37	,	,	PUNCT
fuelectenerg-5933	267	38	p1	p1	NOUN
fuelectenerg-5933	267	39	,	,	PUNCT
fuelectenerg-5933	267	40	p2	p2	PROPN
fuelectenerg-5933	267	41	and	and	CCONJ
fuelectenerg-5933	267	42	c	c	NOUN
fuelectenerg-5933	267	43	,	,	PUNCT
fuelectenerg-5933	267	44	with	with	ADP
fuelectenerg-5933	267	45	kr	kr	PROPN
fuelectenerg-5933	267	46	=	=	SYM
fuelectenerg-5933	267	47	ar	ar	PROPN
fuelectenerg-5933	267	48	=	=	SYM
fuelectenerg-5933	267	49	(	(	PUNCT
fuelectenerg-5933	267	50	r2	r2	PROPN
fuelectenerg-5933	267	51	/	/	SYM
fuelectenerg-5933	267	52	r1–1	r1–1	PROPN
fuelectenerg-5933	267	53	)	)	PUNCT
fuelectenerg-5933	267	54	and	and	CCONJ
fuelectenerg-5933	267	55	kp	kp	X
fuelectenerg-5933	267	56	=	=	SYM
fuelectenerg-5933	267	57	0	0	PROPN
fuelectenerg-5933	268	1	(	(	PUNCT
fuelectenerg-5933	268	2	ap	ap	NOUN
fuelectenerg-5933	268	3	≠	≠	PROPN
fuelectenerg-5933	268	4	0	0	NUM
fuelectenerg-5933	268	5	)	)	PUNCT
fuelectenerg-5933	268	6	.	.	PUNCT
fuelectenerg-5933	269	1	5	5	X
fuelectenerg-5933	269	2	.	.	X
fuelectenerg-5933	269	3	comparison	comparison	NOUN
fuelectenerg-5933	269	4	with	with	ADP
fuelectenerg-5933	269	5	circularly	circularly	ADV
fuelectenerg-5933	269	6	polarized	polarize	VERB
fuelectenerg-5933	269	7	designs	design	NOUN
fuelectenerg-5933	269	8	5.1	5.1	NUM
fuelectenerg-5933	269	9	.	.	PUNCT
fuelectenerg-5933	270	1	types	type	NOUN
fuelectenerg-5933	270	2	of	of	ADP
fuelectenerg-5933	270	3	design	design	NOUN
fuelectenerg-5933	270	4	the	the	DET
fuelectenerg-5933	270	5	combined	combined	ADJ
fuelectenerg-5933	270	6	parabolic	parabolic	NOUN
fuelectenerg-5933	270	7	,	,	PUNCT
fuelectenerg-5933	270	8	power	power	NOUN
fuelectenerg-5933	270	9	-	-	PUNCT
fuelectenerg-5933	270	10	law	law	NOUN
fuelectenerg-5933	270	11	-	-	PUNCT
fuelectenerg-5933	270	12	plus	plus	CCONJ
fuelectenerg-5933	270	13	-	-	PUNCT
fuelectenerg-5933	270	14	linear	linear	NOUN
fuelectenerg-5933	270	15	and	and	CCONJ
fuelectenerg-5933	270	16	exponential	exponential	ADJ
fuelectenerg-5933	270	17	-	-	PUNCT
fuelectenerg-5933	270	18	plus	plus	CCONJ
fuelectenerg-5933	270	19	-	-	PUNCT
fuelectenerg-5933	270	20	linear	linear	NOUN
fuelectenerg-5933	270	21	forms	form	NOUN
fuelectenerg-5933	270	22	offer	offer	VERB
fuelectenerg-5933	270	23	the	the	DET
fuelectenerg-5933	270	24	capability	capability	NOUN
fuelectenerg-5933	270	25	of	of	ADP
fuelectenerg-5933	270	26	closely	closely	ADV
fuelectenerg-5933	270	27	approximating	approximate	VERB
fuelectenerg-5933	270	28	the	the	DET
fuelectenerg-5933	270	29	structures	structure	NOUN
fuelectenerg-5933	270	30	of	of	ADP
fuelectenerg-5933	270	31	a	a	DET
fuelectenerg-5933	270	32	variety	variety	NOUN
fuelectenerg-5933	270	33	of	of	ADP
fuelectenerg-5933	270	34	antenna	antenna	NOUN
fuelectenerg-5933	270	35	designs	design	NOUN
fuelectenerg-5933	270	36	that	that	PRON
fuelectenerg-5933	270	37	feature	feature	VERB
fuelectenerg-5933	270	38	circularly	circularly	ADV
fuelectenerg-5933	270	39	polarized	polarize	VERB
fuelectenerg-5933	270	40	operation	operation	NOUN
fuelectenerg-5933	270	41	.	.	PUNCT
fuelectenerg-5933	271	1	these	these	PRON
fuelectenerg-5933	271	2	include	include	VERB
fuelectenerg-5933	271	3	,	,	PUNCT
fuelectenerg-5933	271	4	with	with	ADP
fuelectenerg-5933	271	5	the	the	DET
fuelectenerg-5933	271	6	aid	aid	NOUN
fuelectenerg-5933	271	7	of	of	ADP
fuelectenerg-5933	271	8	external	external	ADJ
fuelectenerg-5933	271	9	circuitry	circuitry	NOUN
fuelectenerg-5933	271	10	,	,	PUNCT
fuelectenerg-5933	271	11	a	a	DET
fuelectenerg-5933	271	12	circularly	circularly	ADV
fuelectenerg-5933	271	13	polarized	polarize	VERB
fuelectenerg-5933	271	14	yagi	yagi	ADJ
fuelectenerg-5933	271	15	hybrid	hybrid	NOUN
fuelectenerg-5933	271	16	[	[	X
fuelectenerg-5933	271	17	14	14	NUM
fuelectenerg-5933	271	18	]	]	PUNCT
fuelectenerg-5933	271	19	and	and	CCONJ
fuelectenerg-5933	271	20	a	a	DET
fuelectenerg-5933	271	21	cubical	cubical	ADJ
fuelectenerg-5933	271	22	quad	quad	NOUN
fuelectenerg-5933	271	23	[	[	X
fuelectenerg-5933	271	24	15,16	15,16	NUM
fuelectenerg-5933	271	25	]	]	PUNCT
fuelectenerg-5933	271	26	(	(	PUNCT
fuelectenerg-5933	271	27	square	square	ADJ
fuelectenerg-5933	271	28	-	-	PUNCT
fuelectenerg-5933	271	29	loopelement	loopelement	NOUN
fuelectenerg-5933	271	30	yagi	yagi	NOUN
fuelectenerg-5933	271	31	)	)	PUNCT
fuelectenerg-5933	271	32	.	.	PUNCT
fuelectenerg-5933	272	1	designs	design	NOUN
fuelectenerg-5933	272	2	with	with	ADP
fuelectenerg-5933	272	3	inherent	inherent	ADJ
fuelectenerg-5933	272	4	circular	circular	ADJ
fuelectenerg-5933	272	5	polarization	polarization	NOUN
fuelectenerg-5933	272	6	include	include	VERB
fuelectenerg-5933	272	7	helices	helix	NOUN
fuelectenerg-5933	272	8	with	with	ADP
fuelectenerg-5933	272	9	tapered	tapered	ADJ
fuelectenerg-5933	272	10	ends	end	NOUN
fuelectenerg-5933	273	1	[	[	X
fuelectenerg-5933	273	2	17	17	NUM
fuelectenerg-5933	273	3	]	]	PUNCT
fuelectenerg-5933	273	4	,	,	PUNCT
fuelectenerg-5933	273	5	a	a	DET
fuelectenerg-5933	273	6	bifilar	bifilar	ADJ
fuelectenerg-5933	273	7	archimedean	archimedean	ADJ
fuelectenerg-5933	273	8	-	-	PUNCT
fuelectenerg-5933	273	9	spiral	spiral	ADJ
fuelectenerg-5933	273	10	-	-	PUNCT
fuelectenerg-5933	273	11	over	over	ADP
fuelectenerg-5933	273	12	-	-	PUNCT
fuelectenerg-5933	273	13	conical	conical	NOUN
fuelectenerg-5933	273	14	-	-	PUNCT
fuelectenerg-5933	273	15	helix	helix	NOUN
fuelectenerg-5933	273	16	design	design	NOUN
fuelectenerg-5933	273	17	[	[	X
fuelectenerg-5933	273	18	18	18	NUM
fuelectenerg-5933	273	19	]	]	PUNCT
fuelectenerg-5933	273	20	and	and	CCONJ
fuelectenerg-5933	273	21	concave	concave	VERB
fuelectenerg-5933	273	22	and	and	CCONJ
fuelectenerg-5933	273	23	convex	convex	VERB
fuelectenerg-5933	273	24	helix	helix	ADJ
fuelectenerg-5933	273	25	profiles	profile	NOUN
fuelectenerg-5933	273	26	[	[	X
fuelectenerg-5933	273	27	19	19	NUM
fuelectenerg-5933	273	28	]	]	PUNCT
fuelectenerg-5933	273	29	.	.	PUNCT
fuelectenerg-5933	274	1	the	the	DET
fuelectenerg-5933	274	2	latter	latter	ADJ
fuelectenerg-5933	274	3	published	publish	VERB
fuelectenerg-5933	274	4	two	two	NUM
fuelectenerg-5933	274	5	normalized	normalize	VERB
fuelectenerg-5933	274	6	trigonometric	trigonometric	ADJ
fuelectenerg-5933	274	7	forms	form	NOUN
fuelectenerg-5933	274	8	,	,	PUNCT
fuelectenerg-5933	274	9	which	which	PRON
fuelectenerg-5933	274	10	may	may	AUX
fuelectenerg-5933	274	11	be	be	AUX
fuelectenerg-5933	274	12	closely	closely	ADV
fuelectenerg-5933	274	13	approximated	approximate	VERB
fuelectenerg-5933	274	14	by	by	ADP
fuelectenerg-5933	274	15	the	the	DET
fuelectenerg-5933	274	16	forms	form	NOUN
fuelectenerg-5933	274	17	presented	present	VERB
fuelectenerg-5933	274	18	above	above	ADV
fuelectenerg-5933	274	19	.	.	PUNCT
fuelectenerg-5933	275	1	table	table	NOUN
fuelectenerg-5933	275	2	2	2	NUM
fuelectenerg-5933	275	3	lists	list	NOUN
fuelectenerg-5933	275	4	sample	sample	VERB
fuelectenerg-5933	275	5	curve	curve	NOUN
fuelectenerg-5933	275	6	-	-	PUNCT
fuelectenerg-5933	275	7	fit	fit	ADJ
fuelectenerg-5933	275	8	equivalents	equivalent	NOUN
fuelectenerg-5933	275	9	for	for	ADP
fuelectenerg-5933	275	10	the	the	DET
fuelectenerg-5933	275	11	trigonometric	trigonometric	ADJ
fuelectenerg-5933	275	12	forms	form	NOUN
fuelectenerg-5933	275	13	.	.	PUNCT
fuelectenerg-5933	276	1	figs	fig	NOUN
fuelectenerg-5933	276	2	18	18	NUM
fuelectenerg-5933	276	3	-	-	SYM
fuelectenerg-5933	276	4	26	26	NUM
fuelectenerg-5933	276	5	illustrate	illustrate	ADJ
fuelectenerg-5933	276	6	curve	curve	NOUN
fuelectenerg-5933	276	7	-	-	PUNCT
fuelectenerg-5933	276	8	fits	fit	NOUN
fuelectenerg-5933	276	9	of	of	ADP
fuelectenerg-5933	276	10	the	the	DET
fuelectenerg-5933	276	11	data	data	NOUN
fuelectenerg-5933	276	12	sets	set	NOUN
fuelectenerg-5933	276	13	.	.	PUNCT
fuelectenerg-5933	277	1	the	the	DET
fuelectenerg-5933	277	2	following	follow	VERB
fuelectenerg-5933	277	3	patterns	pattern	NOUN
fuelectenerg-5933	277	4	occur	occur	VERB
fuelectenerg-5933	277	5	that	that	PRON
fuelectenerg-5933	277	6	demonstrate	demonstrate	VERB
fuelectenerg-5933	277	7	the	the	DET
fuelectenerg-5933	277	8	capabilities	capability	NOUN
fuelectenerg-5933	277	9	of	of	ADP
fuelectenerg-5933	277	10	the	the	DET
fuelectenerg-5933	277	11	higher	high	ADJ
fuelectenerg-5933	277	12	-	-	PUNCT
fuelectenerg-5933	277	13	order	order	NOUN
fuelectenerg-5933	277	14	forms	form	NOUN
fuelectenerg-5933	277	15	:	:	PUNCT
fuelectenerg-5933	277	16	a	a	X
fuelectenerg-5933	277	17	)	)	PUNCT
fuelectenerg-5933	277	18	negative	negative	ADJ
fuelectenerg-5933	277	19	slope	slope	NOUN
fuelectenerg-5933	277	20	transitioning	transition	VERB
fuelectenerg-5933	277	21	to	to	PART
fuelectenerg-5933	277	22	level	level	VERB
fuelectenerg-5933	277	23	curve	curve	NOUN
fuelectenerg-5933	277	24	b	b	NOUN
fuelectenerg-5933	277	25	)	)	PUNCT
fuelectenerg-5933	277	26	level	level	NOUN
fuelectenerg-5933	277	27	curve	curve	NOUN
fuelectenerg-5933	277	28	transitioning	transition	VERB
fuelectenerg-5933	277	29	to	to	ADP
fuelectenerg-5933	277	30	negative	negative	ADJ
fuelectenerg-5933	277	31	slope	slope	NOUN
fuelectenerg-5933	277	32	c	c	NOUN
fuelectenerg-5933	277	33	)	)	PUNCT
fuelectenerg-5933	277	34	positive	positive	ADJ
fuelectenerg-5933	277	35	slope	slope	NOUN
fuelectenerg-5933	277	36	transitioning	transition	VERB
fuelectenerg-5933	277	37	to	to	PART
fuelectenerg-5933	277	38	level	level	VERB
fuelectenerg-5933	277	39	curve	curve	NOUN
fuelectenerg-5933	277	40	d	d	NOUN
fuelectenerg-5933	277	41	)	)	PUNCT
fuelectenerg-5933	277	42	level	level	NOUN
fuelectenerg-5933	277	43	curve	curve	NOUN
fuelectenerg-5933	277	44	transitioning	transition	VERB
fuelectenerg-5933	277	45	to	to	ADP
fuelectenerg-5933	277	46	positive	positive	ADJ
fuelectenerg-5933	277	47	slope	slope	NOUN
fuelectenerg-5933	277	48	e	e	NOUN
fuelectenerg-5933	277	49	)	)	PUNCT
fuelectenerg-5933	277	50	nearly	nearly	ADV
fuelectenerg-5933	277	51	linear	linear	ADJ
fuelectenerg-5933	277	52	curves	curve	NOUN
fuelectenerg-5933	277	53	.	.	PUNCT
fuelectenerg-5933	278	1	the	the	DET
fuelectenerg-5933	278	2	accuracy	accuracy	NOUN
fuelectenerg-5933	278	3	of	of	ADP
fuelectenerg-5933	278	4	each	each	DET
fuelectenerg-5933	278	5	curve	curve	NOUN
fuelectenerg-5933	278	6	-	-	PUNCT
fuelectenerg-5933	278	7	fit	fit	NOUN
fuelectenerg-5933	278	8	is	be	AUX
fuelectenerg-5933	278	9	stated	state	VERB
fuelectenerg-5933	278	10	for	for	ADP
fuelectenerg-5933	278	11	each	each	DET
fuelectenerg-5933	278	12	subsection	subsection	NOUN
fuelectenerg-5933	278	13	.	.	PUNCT
fuelectenerg-5933	279	1	fig	fig	NOUN
fuelectenerg-5933	279	2	.	.	PUNCT
fuelectenerg-5933	280	1	18	18	NUM
fuelectenerg-5933	280	2	element	element	NOUN
fuelectenerg-5933	280	3	length	length	NOUN
fuelectenerg-5933	280	4	r	r	NOUN
fuelectenerg-5933	280	5	versus	versus	ADP
fuelectenerg-5933	280	6	normalized	normalize	VERB
fuelectenerg-5933	280	7	element	element	ADJ
fuelectenerg-5933	280	8	number	number	NOUN
fuelectenerg-5933	280	9	n	n	CCONJ
fuelectenerg-5933	280	10	for	for	ADP
fuelectenerg-5933	280	11	“	"	PUNCT
fuelectenerg-5933	280	12	quagi	quagi	NOUN
fuelectenerg-5933	280	13	”	"	PUNCT
fuelectenerg-5933	280	14	antenna	antenna	NOUN
fuelectenerg-5933	280	15	[	[	X
fuelectenerg-5933	280	16	14	14	NUM
fuelectenerg-5933	280	17	]	]	PUNCT
fuelectenerg-5933	280	18	.	.	PUNCT
fuelectenerg-5933	281	1	fig	fig	NOUN
fuelectenerg-5933	281	2	.	.	PUNCT
fuelectenerg-5933	282	1	19	19	NUM
fuelectenerg-5933	282	2	axial	axial	ADJ
fuelectenerg-5933	282	3	distance	distance	NOUN
fuelectenerg-5933	282	4	z	z	NOUN
fuelectenerg-5933	282	5	versus	versus	ADP
fuelectenerg-5933	282	6	normalized	normalize	VERB
fuelectenerg-5933	282	7	element	element	ADJ
fuelectenerg-5933	282	8	number	number	NOUN
fuelectenerg-5933	282	9	n	n	CCONJ
fuelectenerg-5933	282	10	for	for	ADP
fuelectenerg-5933	282	11	“	"	PUNCT
fuelectenerg-5933	282	12	quagi	quagi	NOUN
fuelectenerg-5933	282	13	”	"	PUNCT
fuelectenerg-5933	282	14	antenna	antenna	NOUN
fuelectenerg-5933	282	15	[	[	X
fuelectenerg-5933	282	16	14	14	NUM
fuelectenerg-5933	282	17	]	]	SYM
fuelectenerg-5933	282	18	.	.	PUNCT
fuelectenerg-5933	283	1	544	544	NUM
fuelectenerg-5933	283	2	g.	g.	PROPN
fuelectenerg-5933	283	3	e.	e.	PROPN
fuelectenerg-5933	283	4	innes	innes	PROPN
fuelectenerg-5933	283	5	5.2	5.2	NUM
fuelectenerg-5933	283	6	.	.	PUNCT
fuelectenerg-5933	284	1	yagi	yagi	PROPN
fuelectenerg-5933	284	2	hybrid	hybrid	NOUN
fuelectenerg-5933	284	3	the	the	DET
fuelectenerg-5933	284	4	435	435	NUM
fuelectenerg-5933	284	5	mhz	mhz	NOUN
fuelectenerg-5933	284	6	circularly	circularly	ADV
fuelectenerg-5933	284	7	polarized	polarize	VERB
fuelectenerg-5933	284	8	“	"	PUNCT
fuelectenerg-5933	284	9	quagi	quagi	NOUN
fuelectenerg-5933	284	10	”	"	PUNCT
fuelectenerg-5933	284	11	or	or	CCONJ
fuelectenerg-5933	284	12	yagi	yagi	ADJ
fuelectenerg-5933	284	13	hybrid	hybrid	NOUN
fuelectenerg-5933	284	14	[	[	X
fuelectenerg-5933	284	15	14	14	NUM
fuelectenerg-5933	284	16	]	]	PUNCT
fuelectenerg-5933	284	17	featured	feature	VERB
fuelectenerg-5933	284	18	here	here	ADV
fuelectenerg-5933	284	19	has	have	VERB
fuelectenerg-5933	284	20	two	two	NUM
fuelectenerg-5933	284	21	identical	identical	ADJ
fuelectenerg-5933	284	22	orthogonal	orthogonal	ADJ
fuelectenerg-5933	284	23	arrays	array	NOUN
fuelectenerg-5933	284	24	of	of	ADP
fuelectenerg-5933	284	25	yagi	yagi	NOUN
fuelectenerg-5933	284	26	-	-	PUNCT
fuelectenerg-5933	284	27	uda	uda	NOUN
fuelectenerg-5933	284	28	elements	element	NOUN
fuelectenerg-5933	284	29	.	.	PUNCT
fuelectenerg-5933	285	1	however	however	ADV
fuelectenerg-5933	285	2	,	,	PUNCT
fuelectenerg-5933	285	3	elements	element	NOUN
fuelectenerg-5933	285	4	#	#	SYM
fuelectenerg-5933	285	5	0	0	NUM
fuelectenerg-5933	285	6	and	and	CCONJ
fuelectenerg-5933	285	7	#	#	SYM
fuelectenerg-5933	285	8	1	1	NUM
fuelectenerg-5933	285	9	are	be	AUX
fuelectenerg-5933	285	10	square	square	ADJ
fuelectenerg-5933	285	11	loops	loop	NOUN
fuelectenerg-5933	285	12	and	and	CCONJ
fuelectenerg-5933	285	13	are	be	AUX
fuelectenerg-5933	285	14	included	include	VERB
fuelectenerg-5933	285	15	in	in	ADP
fuelectenerg-5933	285	16	fig	fig	NOUN
fuelectenerg-5933	285	17	.	.	PUNCT
fuelectenerg-5933	286	1	18	18	NUM
fuelectenerg-5933	286	2	using	use	VERB
fuelectenerg-5933	286	3	wire	wire	NOUN
fuelectenerg-5933	286	4	lengths	length	NOUN
fuelectenerg-5933	286	5	for	for	ADP
fuelectenerg-5933	286	6	half	half	NOUN
fuelectenerg-5933	286	7	of	of	ADP
fuelectenerg-5933	286	8	a	a	DET
fuelectenerg-5933	286	9	loop	loop	NOUN
fuelectenerg-5933	286	10	.	.	PUNCT
fuelectenerg-5933	287	1	this	this	DET
fuelectenerg-5933	287	2	hybrid	hybrid	ADJ
fuelectenerg-5933	287	3	antenna	antenna	NOUN
fuelectenerg-5933	287	4	is	be	AUX
fuelectenerg-5933	287	5	thus	thus	ADV
fuelectenerg-5933	287	6	part	part	NOUN
fuelectenerg-5933	287	7	yagi	yagi	ADJ
fuelectenerg-5933	287	8	-	-	PUNCT
fuelectenerg-5933	287	9	uda	uda	NOUN
fuelectenerg-5933	287	10	and	and	CCONJ
fuelectenerg-5933	287	11	part	part	NOUN
fuelectenerg-5933	287	12	cubical	cubical	ADJ
fuelectenerg-5933	287	13	quad	quad	NOUN
fuelectenerg-5933	287	14	(	(	PUNCT
fuelectenerg-5933	287	15	presented	present	VERB
fuelectenerg-5933	287	16	below	below	ADV
fuelectenerg-5933	287	17	)	)	PUNCT
fuelectenerg-5933	287	18	.	.	PUNCT
fuelectenerg-5933	288	1	figs	fig	NOUN
fuelectenerg-5933	288	2	18	18	NUM
fuelectenerg-5933	288	3	and	and	CCONJ
fuelectenerg-5933	288	4	19	19	NUM
fuelectenerg-5933	288	5	show	show	NOUN
fuelectenerg-5933	288	6	r(n	r(n	PROPN
fuelectenerg-5933	288	7	)	)	PUNCT
fuelectenerg-5933	288	8	and	and	CCONJ
fuelectenerg-5933	288	9	z(n	z(n	NOUN
fuelectenerg-5933	288	10	)	)	PUNCT
fuelectenerg-5933	288	11	curves	curve	NOUN
fuelectenerg-5933	288	12	similar	similar	ADJ
fuelectenerg-5933	288	13	to	to	ADP
fuelectenerg-5933	288	14	the	the	DET
fuelectenerg-5933	288	15	yagi	yagi	ADJ
fuelectenerg-5933	288	16	-	-	PUNCT
fuelectenerg-5933	288	17	uda	uda	NOUN
fuelectenerg-5933	288	18	test	test	NOUN
fuelectenerg-5933	288	19	case	case	NOUN
fuelectenerg-5933	288	20	presented	present	VERB
fuelectenerg-5933	288	21	in	in	ADP
fuelectenerg-5933	288	22	the	the	DET
fuelectenerg-5933	288	23	previous	previous	ADJ
fuelectenerg-5933	288	24	sections	section	NOUN
fuelectenerg-5933	288	25	.	.	PUNCT
fuelectenerg-5933	289	1	the	the	DET
fuelectenerg-5933	289	2	rms	rm	NOUN
fuelectenerg-5933	289	3	errors	error	NOUN
fuelectenerg-5933	289	4	for	for	ADP
fuelectenerg-5933	289	5	fig	fig	NOUN
fuelectenerg-5933	289	6	.	.	PUNCT
fuelectenerg-5933	289	7	18	18	NUM
fuelectenerg-5933	289	8	are	be	AUX
fuelectenerg-5933	289	9	1.651	1.651	NUM
fuelectenerg-5933	289	10	%	%	NOUN
fuelectenerg-5933	289	11	for	for	ADP
fuelectenerg-5933	289	12	the	the	DET
fuelectenerg-5933	289	13	power	power	NOUN
fuelectenerg-5933	289	14	-	-	PUNCT
fuelectenerg-5933	289	15	law	law	NOUN
fuelectenerg-5933	289	16	form	form	NOUN
fuelectenerg-5933	289	17	and	and	CCONJ
fuelectenerg-5933	289	18	1.313	1.313	NUM
fuelectenerg-5933	289	19	%	%	NOUN
fuelectenerg-5933	289	20	for	for	ADP
fuelectenerg-5933	289	21	the	the	DET
fuelectenerg-5933	289	22	exponential	exponential	ADJ
fuelectenerg-5933	289	23	form	form	NOUN
fuelectenerg-5933	289	24	.	.	PUNCT
fuelectenerg-5933	290	1	the	the	DET
fuelectenerg-5933	290	2	rms	rm	NOUN
fuelectenerg-5933	290	3	errors	error	NOUN
fuelectenerg-5933	290	4	for	for	ADP
fuelectenerg-5933	290	5	fig	fig	NOUN
fuelectenerg-5933	290	6	.	.	PUNCT
fuelectenerg-5933	291	1	19	19	NUM
fuelectenerg-5933	291	2	are	be	AUX
fuelectenerg-5933	291	3	0.944	0.944	NUM
fuelectenerg-5933	291	4	%	%	NOUN
fuelectenerg-5933	291	5	for	for	ADP
fuelectenerg-5933	291	6	the	the	DET
fuelectenerg-5933	291	7	power	power	NOUN
fuelectenerg-5933	291	8	-	-	PUNCT
fuelectenerg-5933	291	9	law	law	NOUN
fuelectenerg-5933	291	10	form	form	NOUN
fuelectenerg-5933	291	11	and	and	CCONJ
fuelectenerg-5933	291	12	0.913	0.913	NUM
fuelectenerg-5933	291	13	%	%	NOUN
fuelectenerg-5933	291	14	for	for	ADP
fuelectenerg-5933	291	15	the	the	DET
fuelectenerg-5933	291	16	exponential	exponential	ADJ
fuelectenerg-5933	291	17	form	form	NOUN
fuelectenerg-5933	291	18	.	.	PUNCT
fuelectenerg-5933	292	1	5.3	5.3	NUM
fuelectenerg-5933	292	2	.	.	PUNCT
fuelectenerg-5933	292	3	cubical	cubical	ADJ
fuelectenerg-5933	292	4	quad	quad	ADJ
fuelectenerg-5933	292	5	figs	fig	NOUN
fuelectenerg-5933	292	6	20	20	NUM
fuelectenerg-5933	292	7	and	and	CCONJ
fuelectenerg-5933	292	8	21	21	NUM
fuelectenerg-5933	292	9	show	show	VERB
fuelectenerg-5933	292	10	the	the	DET
fuelectenerg-5933	292	11	structural	structural	ADJ
fuelectenerg-5933	292	12	data	datum	NOUN
fuelectenerg-5933	292	13	for	for	ADP
fuelectenerg-5933	292	14	the	the	DET
fuelectenerg-5933	292	15	cubical	cubical	ADJ
fuelectenerg-5933	292	16	quad	quad	NOUN
fuelectenerg-5933	292	17	[	[	X
fuelectenerg-5933	292	18	16	16	NUM
fuelectenerg-5933	292	19	]	]	PUNCT
fuelectenerg-5933	292	20	design	design	NOUN
fuelectenerg-5933	292	21	,	,	PUNCT
fuelectenerg-5933	292	22	which	which	PRON
fuelectenerg-5933	292	23	features	feature	VERB
fuelectenerg-5933	292	24	square	square	ADJ
fuelectenerg-5933	292	25	-	-	PUNCT
fuelectenerg-5933	292	26	loop	loop	NOUN
fuelectenerg-5933	292	27	elements	element	NOUN
fuelectenerg-5933	292	28	arranged	arrange	VERB
fuelectenerg-5933	292	29	in	in	ADP
fuelectenerg-5933	292	30	a	a	DET
fuelectenerg-5933	292	31	yagi	yagi	ADJ
fuelectenerg-5933	292	32	-	-	PUNCT
fuelectenerg-5933	292	33	uda	uda	NOUN
fuelectenerg-5933	292	34	type	type	NOUN
fuelectenerg-5933	292	35	array	array	NOUN
fuelectenerg-5933	292	36	.	.	PUNCT
fuelectenerg-5933	293	1	only	only	ADV
fuelectenerg-5933	293	2	parabolic	parabolic	ADJ
fuelectenerg-5933	293	3	curve	curve	NOUN
fuelectenerg-5933	293	4	-	-	PUNCT
fuelectenerg-5933	293	5	fits	fit	NOUN
fuelectenerg-5933	293	6	were	be	AUX
fuelectenerg-5933	293	7	suitable	suitable	ADJ
fuelectenerg-5933	293	8	,	,	PUNCT
fuelectenerg-5933	293	9	as	as	SCONJ
fuelectenerg-5933	293	10	the	the	DET
fuelectenerg-5933	293	11	best	good	ADJ
fuelectenerg-5933	293	12	-	-	PUNCT
fuelectenerg-5933	293	13	fit	fit	ADJ
fuelectenerg-5933	293	14	exponential	exponential	NOUN
fuelectenerg-5933	293	15	and	and	CCONJ
fuelectenerg-5933	293	16	power	power	NOUN
fuelectenerg-5933	293	17	-	-	PUNCT
fuelectenerg-5933	293	18	law	law	NOUN
fuelectenerg-5933	293	19	forms	form	NOUN
fuelectenerg-5933	293	20	exhibited	exhibit	VERB
fuelectenerg-5933	293	21	highly	highly	ADV
fuelectenerg-5933	293	22	linear	linear	ADJ
fuelectenerg-5933	293	23	behaviours	behaviour	NOUN
fuelectenerg-5933	293	24	for	for	ADP
fuelectenerg-5933	293	25	this	this	DET
fuelectenerg-5933	293	26	data	datum	NOUN
fuelectenerg-5933	293	27	set	set	VERB
fuelectenerg-5933	293	28	.	.	PUNCT
fuelectenerg-5933	294	1	for	for	ADP
fuelectenerg-5933	294	2	the	the	DET
fuelectenerg-5933	294	3	z(n	z(n	NOUN
fuelectenerg-5933	294	4	)	)	PUNCT
fuelectenerg-5933	294	5	data	datum	NOUN
fuelectenerg-5933	294	6	of	of	ADP
fuelectenerg-5933	294	7	fig	fig	NOUN
fuelectenerg-5933	294	8	.	.	PUNCT
fuelectenerg-5933	295	1	21	21	NUM
fuelectenerg-5933	295	2	,	,	PUNCT
fuelectenerg-5933	295	3	the	the	DET
fuelectenerg-5933	295	4	best	well	ADV
fuelectenerg-5933	295	5	-	-	PUNCT
fuelectenerg-5933	295	6	fit	fit	ADJ
fuelectenerg-5933	295	7	exponential	exponential	NOUN
fuelectenerg-5933	295	8	-	-	PUNCT
fuelectenerg-5933	295	9	plus	plus	CCONJ
fuelectenerg-5933	295	10	-	-	PUNCT
fuelectenerg-5933	295	11	linear	linear	NOUN
fuelectenerg-5933	295	12	and	and	CCONJ
fuelectenerg-5933	295	13	power	power	NOUN
fuelectenerg-5933	295	14	-	-	PUNCT
fuelectenerg-5933	295	15	law	law	NOUN
fuelectenerg-5933	295	16	-	-	PUNCT
fuelectenerg-5933	295	17	plus	plus	CCONJ
fuelectenerg-5933	295	18	-	-	PUNCT
fuelectenerg-5933	295	19	linear	linear	NOUN
fuelectenerg-5933	295	20	forms	form	NOUN
fuelectenerg-5933	295	21	each	each	PRON
fuelectenerg-5933	295	22	exhibited	exhibit	VERB
fuelectenerg-5933	295	23	a	a	DET
fuelectenerg-5933	295	24	singularity	singularity	NOUN
fuelectenerg-5933	295	25	for	for	ADP
fuelectenerg-5933	295	26	n	n	PROPN
fuelectenerg-5933	295	27	→	→	SYM
fuelectenerg-5933	295	28	0	0	NUM
fuelectenerg-5933	295	29	(	(	PUNCT
fuelectenerg-5933	295	30	exp(–∞n	exp(–∞n	NOUN
fuelectenerg-5933	295	31	)	)	PUNCT
fuelectenerg-5933	295	32	and	and	CCONJ
fuelectenerg-5933	295	33	n0	n0	NUM
fuelectenerg-5933	295	34	,	,	PUNCT
fuelectenerg-5933	295	35	respectively	respectively	ADV
fuelectenerg-5933	295	36	)	)	PUNCT
fuelectenerg-5933	295	37	.	.	PUNCT
fuelectenerg-5933	296	1	this	this	PRON
fuelectenerg-5933	296	2	simply	simply	ADV
fuelectenerg-5933	296	3	means	mean	VERB
fuelectenerg-5933	296	4	a	a	DET
fuelectenerg-5933	296	5	mathematically	mathematically	ADV
fuelectenerg-5933	296	6	exact	exact	ADJ
fuelectenerg-5933	296	7	curve	curve	NOUN
fuelectenerg-5933	296	8	-	-	PUNCT
fuelectenerg-5933	296	9	fit	fit	NOUN
fuelectenerg-5933	296	10	was	be	AUX
fuelectenerg-5933	296	11	possible	possible	ADJ
fuelectenerg-5933	296	12	,	,	PUNCT
fuelectenerg-5933	296	13	but	but	CCONJ
fuelectenerg-5933	296	14	with	with	ADP
fuelectenerg-5933	296	15	a	a	DET
fuelectenerg-5933	296	16	discontinuous	discontinuous	ADJ
fuelectenerg-5933	296	17	curve	curve	NOUN
fuelectenerg-5933	296	18	.	.	PUNCT
fuelectenerg-5933	297	1	the	the	DET
fuelectenerg-5933	297	2	rms	rm	NOUN
fuelectenerg-5933	297	3	error	error	NOUN
fuelectenerg-5933	297	4	for	for	ADP
fuelectenerg-5933	297	5	fig	fig	NOUN
fuelectenerg-5933	297	6	.	.	PUNCT
fuelectenerg-5933	298	1	20	20	NUM
fuelectenerg-5933	298	2	is	be	AUX
fuelectenerg-5933	298	3	0.111	0.111	NUM
fuelectenerg-5933	298	4	%	%	NOUN
fuelectenerg-5933	298	5	and	and	CCONJ
fuelectenerg-5933	298	6	for	for	ADP
fuelectenerg-5933	298	7	fig	fig	NOUN
fuelectenerg-5933	298	8	.	.	PUNCT
fuelectenerg-5933	299	1	21	21	NUM
fuelectenerg-5933	299	2	is	be	AUX
fuelectenerg-5933	299	3	0.556	0.556	NUM
fuelectenerg-5933	299	4	%	%	NOUN
fuelectenerg-5933	299	5	.	.	PUNCT
fuelectenerg-5933	300	1	5.4	5.4	NUM
fuelectenerg-5933	300	2	.	.	PUNCT
fuelectenerg-5933	301	1	tapered	tapered	ADJ
fuelectenerg-5933	301	2	helix	helix	ADJ
fuelectenerg-5933	301	3	fig	fig	NOUN
fuelectenerg-5933	301	4	.	.	PUNCT
fuelectenerg-5933	302	1	22	22	NUM
fuelectenerg-5933	302	2	shows	show	VERB
fuelectenerg-5933	302	3	the	the	DET
fuelectenerg-5933	302	4	r	r	NOUN
fuelectenerg-5933	302	5	profile	profile	NOUN
fuelectenerg-5933	302	6	data	datum	NOUN
fuelectenerg-5933	302	7	for	for	ADP
fuelectenerg-5933	302	8	an	an	DET
fuelectenerg-5933	302	9	18	18	NUM
fuelectenerg-5933	302	10	-	-	PUNCT
fuelectenerg-5933	302	11	turn	turn	NOUN
fuelectenerg-5933	302	12	tapered	tapered	ADJ
fuelectenerg-5933	302	13	helix	helix	NOUN
fuelectenerg-5933	302	14	[	[	X
fuelectenerg-5933	302	15	17	17	NUM
fuelectenerg-5933	302	16	]	]	PUNCT
fuelectenerg-5933	302	17	and	and	CCONJ
fuelectenerg-5933	302	18	fig	fig	NOUN
fuelectenerg-5933	302	19	.	.	PUNCT
fuelectenerg-5933	303	1	23	23	NUM
fuelectenerg-5933	303	2	shows	show	VERB
fuelectenerg-5933	303	3	the	the	DET
fuelectenerg-5933	303	4	r	r	NOUN
fuelectenerg-5933	303	5	profile	profile	NOUN
fuelectenerg-5933	303	6	data	datum	NOUN
fuelectenerg-5933	303	7	for	for	ADP
fuelectenerg-5933	303	8	a	a	DET
fuelectenerg-5933	303	9	9	9	NUM
fuelectenerg-5933	303	10	-	-	PUNCT
fuelectenerg-5933	303	11	turn	turn	NOUN
fuelectenerg-5933	303	12	tapered	tapered	ADJ
fuelectenerg-5933	303	13	helix	helix	NOUN
fuelectenerg-5933	303	14	.	.	PUNCT
fuelectenerg-5933	304	1	the	the	DET
fuelectenerg-5933	304	2	helix	helix	ADJ
fuelectenerg-5933	304	3	pitch	pitch	NOUN
fuelectenerg-5933	304	4	was	be	AUX
fuelectenerg-5933	304	5	constant	constant	ADJ
fuelectenerg-5933	304	6	for	for	ADP
fuelectenerg-5933	304	7	these	these	DET
fuelectenerg-5933	304	8	two	two	NUM
fuelectenerg-5933	304	9	antennas	antenna	NOUN
fuelectenerg-5933	304	10	.	.	PUNCT
fuelectenerg-5933	305	1	these	these	DET
fuelectenerg-5933	305	2	figures	figure	NOUN
fuelectenerg-5933	305	3	highlight	highlight	VERB
fuelectenerg-5933	305	4	the	the	DET
fuelectenerg-5933	305	5	capability	capability	NOUN
fuelectenerg-5933	305	6	of	of	ADP
fuelectenerg-5933	305	7	the	the	DET
fuelectenerg-5933	305	8	higher	high	ADJ
fuelectenerg-5933	305	9	-	-	PUNCT
fuelectenerg-5933	305	10	order	order	NOUN
fuelectenerg-5933	305	11	equations	equation	NOUN
fuelectenerg-5933	305	12	to	to	PART
fuelectenerg-5933	305	13	handle	handle	VERB
fuelectenerg-5933	305	14	a	a	DET
fuelectenerg-5933	305	15	sharp	sharp	ADJ
fuelectenerg-5933	305	16	change	change	NOUN
fuelectenerg-5933	305	17	in	in	ADP
fuelectenerg-5933	305	18	the	the	DET
fuelectenerg-5933	305	19	helix	helix	ADJ
fuelectenerg-5933	305	20	profile	profile	NOUN
fuelectenerg-5933	305	21	.	.	PUNCT
fuelectenerg-5933	306	1	the	the	DET
fuelectenerg-5933	306	2	rms	rm	NOUN
fuelectenerg-5933	306	3	errors	error	NOUN
fuelectenerg-5933	306	4	for	for	ADP
fuelectenerg-5933	306	5	fig	fig	NOUN
fuelectenerg-5933	306	6	.	.	PUNCT
fuelectenerg-5933	307	1	22	22	NUM
fuelectenerg-5933	307	2	are	be	AUX
fuelectenerg-5933	307	3	1.470	1.470	NUM
fuelectenerg-5933	307	4	%	%	NOUN
fuelectenerg-5933	307	5	for	for	ADP
fuelectenerg-5933	307	6	the	the	DET
fuelectenerg-5933	307	7	power	power	NOUN
fuelectenerg-5933	307	8	-	-	PUNCT
fuelectenerg-5933	307	9	law	law	NOUN
fuelectenerg-5933	307	10	form	form	NOUN
fuelectenerg-5933	307	11	and	and	CCONJ
fuelectenerg-5933	307	12	1.534	1.534	NUM
fuelectenerg-5933	307	13	%	%	NOUN
fuelectenerg-5933	307	14	for	for	ADP
fuelectenerg-5933	307	15	the	the	DET
fuelectenerg-5933	307	16	exponential	exponential	ADJ
fuelectenerg-5933	307	17	form	form	NOUN
fuelectenerg-5933	307	18	.	.	PUNCT
fuelectenerg-5933	308	1	the	the	DET
fuelectenerg-5933	308	2	rms	rm	NOUN
fuelectenerg-5933	308	3	errors	error	NOUN
fuelectenerg-5933	308	4	for	for	ADP
fuelectenerg-5933	308	5	fig	fig	NOUN
fuelectenerg-5933	308	6	.	.	PUNCT
fuelectenerg-5933	309	1	23	23	NUM
fuelectenerg-5933	309	2	are	be	AUX
fuelectenerg-5933	309	3	1.149	1.149	NUM
fuelectenerg-5933	309	4	%	%	NOUN
fuelectenerg-5933	309	5	for	for	ADP
fuelectenerg-5933	309	6	the	the	DET
fuelectenerg-5933	309	7	power	power	NOUN
fuelectenerg-5933	309	8	-	-	PUNCT
fuelectenerg-5933	309	9	law	law	NOUN
fuelectenerg-5933	309	10	form	form	NOUN
fuelectenerg-5933	309	11	and	and	CCONJ
fuelectenerg-5933	309	12	1.234	1.234	NUM
fuelectenerg-5933	309	13	%	%	NOUN
fuelectenerg-5933	309	14	for	for	ADP
fuelectenerg-5933	309	15	the	the	DET
fuelectenerg-5933	309	16	exponential	exponential	ADJ
fuelectenerg-5933	309	17	form	form	NOUN
fuelectenerg-5933	309	18	.	.	PUNCT
fuelectenerg-5933	310	1	fig	fig	NOUN
fuelectenerg-5933	310	2	.	.	PUNCT
fuelectenerg-5933	311	1	20	20	NUM
fuelectenerg-5933	311	2	element	element	NOUN
fuelectenerg-5933	311	3	length	length	NOUN
fuelectenerg-5933	311	4	r	r	NOUN
fuelectenerg-5933	311	5	versus	versus	ADP
fuelectenerg-5933	311	6	normalized	normalize	VERB
fuelectenerg-5933	311	7	element	element	ADJ
fuelectenerg-5933	311	8	number	number	NOUN
fuelectenerg-5933	311	9	n	n	NUM
fuelectenerg-5933	311	10	for	for	ADP
fuelectenerg-5933	311	11	the	the	DET
fuelectenerg-5933	311	12	cubical	cubical	ADJ
fuelectenerg-5933	311	13	quad	quad	ADJ
fuelectenerg-5933	311	14	antenna	antenna	NOUN
fuelectenerg-5933	311	15	[	[	X
fuelectenerg-5933	311	16	16	16	NUM
fuelectenerg-5933	311	17	]	]	PUNCT
fuelectenerg-5933	311	18	.	.	PUNCT
fuelectenerg-5933	312	1	fig	fig	NOUN
fuelectenerg-5933	312	2	.	.	PUNCT
fuelectenerg-5933	313	1	21	21	NUM
fuelectenerg-5933	313	2	axial	axial	ADJ
fuelectenerg-5933	313	3	distance	distance	NOUN
fuelectenerg-5933	313	4	z	z	NOUN
fuelectenerg-5933	313	5	versus	versus	ADP
fuelectenerg-5933	313	6	normalized	normalize	VERB
fuelectenerg-5933	313	7	element	element	ADJ
fuelectenerg-5933	313	8	number	number	NOUN
fuelectenerg-5933	313	9	n	n	NUM
fuelectenerg-5933	313	10	for	for	ADP
fuelectenerg-5933	313	11	the	the	DET
fuelectenerg-5933	313	12	cubical	cubical	ADJ
fuelectenerg-5933	313	13	quad	quad	ADJ
fuelectenerg-5933	313	14	antenna	antenna	NOUN
fuelectenerg-5933	313	15	[	[	X
fuelectenerg-5933	313	16	16	16	NUM
fuelectenerg-5933	313	17	]	]	PUNCT
fuelectenerg-5933	313	18	.	.	PUNCT
fuelectenerg-5933	314	1	higher	high	ADJ
fuelectenerg-5933	314	2	-	-	PUNCT
fuelectenerg-5933	314	3	order	order	NOUN
fuelectenerg-5933	314	4	structural	structural	ADJ
fuelectenerg-5933	314	5	constraints	constraint	NOUN
fuelectenerg-5933	314	6	for	for	ADP
fuelectenerg-5933	314	7	improved	improved	ADJ
fuelectenerg-5933	314	8	optimization	optimization	NOUN
fuelectenerg-5933	314	9	of	of	ADP
fuelectenerg-5933	314	10	nonuniform	nonuniform	ADJ
fuelectenerg-5933	314	11	helical	helical	ADJ
fuelectenerg-5933	314	12	antennas	antenna	NOUN
fuelectenerg-5933	314	13	545	545	NUM
fuelectenerg-5933	314	14	fig	fig	NOUN
fuelectenerg-5933	314	15	.	.	PUNCT
fuelectenerg-5933	315	1	22	22	NUM
fuelectenerg-5933	315	2	helix	helix	ADJ
fuelectenerg-5933	315	3	radius	radius	NOUN
fuelectenerg-5933	315	4	r	r	NOUN
fuelectenerg-5933	315	5	vs.	vs.	ADP
fuelectenerg-5933	315	6	normalized	normalize	VERB
fuelectenerg-5933	315	7	turn	turn	NOUN
fuelectenerg-5933	315	8	number	number	NOUN
fuelectenerg-5933	315	9	n	n	NOUN
fuelectenerg-5933	315	10	for	for	ADP
fuelectenerg-5933	315	11	an	an	DET
fuelectenerg-5933	315	12	18	18	NUM
fuelectenerg-5933	315	13	-	-	PUNCT
fuelectenerg-5933	315	14	turn	turn	NOUN
fuelectenerg-5933	315	15	tapered	tapered	ADJ
fuelectenerg-5933	315	16	helix	helix	NOUN
fuelectenerg-5933	315	17	[	[	X
fuelectenerg-5933	315	18	17	17	NUM
fuelectenerg-5933	315	19	]	]	PUNCT
fuelectenerg-5933	315	20	.	.	PUNCT
fuelectenerg-5933	316	1	fig	fig	NOUN
fuelectenerg-5933	316	2	.	.	PUNCT
fuelectenerg-5933	317	1	23	23	NUM
fuelectenerg-5933	317	2	helix	helix	ADJ
fuelectenerg-5933	317	3	radius	radius	NOUN
fuelectenerg-5933	317	4	r	r	NOUN
fuelectenerg-5933	317	5	versus	versus	SCONJ
fuelectenerg-5933	317	6	normalized	normalize	VERB
fuelectenerg-5933	317	7	turn	turn	NOUN
fuelectenerg-5933	317	8	number	number	NOUN
fuelectenerg-5933	317	9	n	n	NOUN
fuelectenerg-5933	317	10	for	for	ADP
fuelectenerg-5933	317	11	a	a	DET
fuelectenerg-5933	317	12	9	9	NUM
fuelectenerg-5933	317	13	-	-	PUNCT
fuelectenerg-5933	317	14	turn	turn	NOUN
fuelectenerg-5933	317	15	tapered	tapered	ADJ
fuelectenerg-5933	317	16	helix	helix	NOUN
fuelectenerg-5933	317	17	[	[	X
fuelectenerg-5933	317	18	17	17	NUM
fuelectenerg-5933	317	19	]	]	PUNCT
fuelectenerg-5933	317	20	.	.	PUNCT
fuelectenerg-5933	318	1	fig	fig	NOUN
fuelectenerg-5933	318	2	.	.	PUNCT
fuelectenerg-5933	319	1	24	24	NUM
fuelectenerg-5933	319	2	helix	helix	ADJ
fuelectenerg-5933	319	3	radius	radius	NOUN
fuelectenerg-5933	319	4	r	r	NOUN
fuelectenerg-5933	319	5	versus	versus	SCONJ
fuelectenerg-5933	319	6	normalized	normalize	VERB
fuelectenerg-5933	319	7	turn	turn	NOUN
fuelectenerg-5933	319	8	number	number	NOUN
fuelectenerg-5933	319	9	n	n	NOUN
fuelectenerg-5933	319	10	for	for	ADP
fuelectenerg-5933	319	11	the	the	DET
fuelectenerg-5933	319	12	archimedeanspiral	archimedeanspiral	ADJ
fuelectenerg-5933	319	13	-	-	PUNCT
fuelectenerg-5933	319	14	over	over	ADP
fuelectenerg-5933	319	15	-	-	PUNCT
fuelectenerg-5933	319	16	conical	conical	NOUN
fuelectenerg-5933	319	17	-	-	PUNCT
fuelectenerg-5933	319	18	helix	helix	NOUN
fuelectenerg-5933	319	19	design	design	NOUN
fuelectenerg-5933	319	20	[	[	X
fuelectenerg-5933	319	21	18	18	NUM
fuelectenerg-5933	319	22	]	]	PUNCT
fuelectenerg-5933	319	23	.	.	PUNCT
fuelectenerg-5933	320	1	fig	fig	NOUN
fuelectenerg-5933	320	2	.	.	PUNCT
fuelectenerg-5933	321	1	25	25	NUM
fuelectenerg-5933	321	2	axial	axial	ADJ
fuelectenerg-5933	321	3	distance	distance	NOUN
fuelectenerg-5933	321	4	z	z	NOUN
fuelectenerg-5933	321	5	vs.	vs.	VERB
fuelectenerg-5933	321	6	normalized	normalize	VERB
fuelectenerg-5933	321	7	turn	turn	VERB
fuelectenerg-5933	321	8	number	number	NOUN
fuelectenerg-5933	321	9	n	n	NOUN
fuelectenerg-5933	321	10	for	for	ADP
fuelectenerg-5933	321	11	the	the	DET
fuelectenerg-5933	321	12	archimedeanspiral	archimedeanspiral	ADJ
fuelectenerg-5933	321	13	-	-	PUNCT
fuelectenerg-5933	321	14	over	over	ADP
fuelectenerg-5933	321	15	-	-	PUNCT
fuelectenerg-5933	321	16	conical	conical	NOUN
fuelectenerg-5933	321	17	-	-	PUNCT
fuelectenerg-5933	321	18	helix	helix	NOUN
fuelectenerg-5933	321	19	design	design	NOUN
fuelectenerg-5933	321	20	[	[	X
fuelectenerg-5933	321	21	18	18	NUM
fuelectenerg-5933	321	22	]	]	PUNCT
fuelectenerg-5933	321	23	.	.	PUNCT
fuelectenerg-5933	322	1	5.5	5.5	NUM
fuelectenerg-5933	322	2	.	.	PUNCT
fuelectenerg-5933	322	3	archimedean	archimedean	ADJ
fuelectenerg-5933	322	4	-	-	PUNCT
fuelectenerg-5933	322	5	spiral	spiral	ADJ
fuelectenerg-5933	322	6	-	-	PUNCT
fuelectenerg-5933	322	7	over	over	ADP
fuelectenerg-5933	322	8	-	-	PUNCT
fuelectenerg-5933	322	9	conical	conical	NOUN
fuelectenerg-5933	322	10	-	-	PUNCT
fuelectenerg-5933	322	11	helix	helix	NOUN
fuelectenerg-5933	322	12	the	the	DET
fuelectenerg-5933	322	13	spiral	spiral	ADJ
fuelectenerg-5933	322	14	-	-	PUNCT
fuelectenerg-5933	322	15	over	over	ADP
fuelectenerg-5933	322	16	-	-	PUNCT
fuelectenerg-5933	322	17	helix	helix	NOUN
fuelectenerg-5933	322	18	[	[	X
fuelectenerg-5933	322	19	18	18	NUM
fuelectenerg-5933	322	20	]	]	PUNCT
fuelectenerg-5933	322	21	design	design	NOUN
fuelectenerg-5933	322	22	featured	feature	VERB
fuelectenerg-5933	322	23	here	here	ADV
fuelectenerg-5933	322	24	has	have	VERB
fuelectenerg-5933	322	25	two	two	NUM
fuelectenerg-5933	322	26	identical	identical	ADJ
fuelectenerg-5933	322	27	interlaced	interlaced	ADJ
fuelectenerg-5933	322	28	windings	winding	NOUN
fuelectenerg-5933	322	29	,	,	PUNCT
fuelectenerg-5933	322	30	rotated	rotate	VERB
fuelectenerg-5933	322	31	180	180	NUM
fuelectenerg-5933	322	32	degrees	degree	NOUN
fuelectenerg-5933	322	33	apart	apart	ADV
fuelectenerg-5933	322	34	about	about	ADP
fuelectenerg-5933	322	35	the	the	DET
fuelectenerg-5933	322	36	vertical	vertical	ADJ
fuelectenerg-5933	322	37	axis	axis	NOUN
fuelectenerg-5933	322	38	z.	z.	PROPN
fuelectenerg-5933	322	39	only	only	ADV
fuelectenerg-5933	322	40	one	one	NUM
fuelectenerg-5933	322	41	winding	winding	NOUN
fuelectenerg-5933	322	42	is	be	AUX
fuelectenerg-5933	322	43	depicted	depict	VERB
fuelectenerg-5933	322	44	in	in	ADP
fuelectenerg-5933	322	45	figs	fig	NOUN
fuelectenerg-5933	322	46	24	24	NUM
fuelectenerg-5933	322	47	and	and	CCONJ
fuelectenerg-5933	322	48	25	25	NUM
fuelectenerg-5933	322	49	.	.	PUNCT
fuelectenerg-5933	323	1	the	the	DET
fuelectenerg-5933	323	2	winding	winding	NOUN
fuelectenerg-5933	323	3	starts	start	VERB
fuelectenerg-5933	323	4	at	at	ADP
fuelectenerg-5933	323	5	z	z	NOUN
fuelectenerg-5933	323	6	=	=	SYM
fuelectenerg-5933	323	7	0	0	PUNCT
fuelectenerg-5933	324	1	as	as	ADP
fuelectenerg-5933	324	2	a	a	DET
fuelectenerg-5933	324	3	conical	conical	ADJ
fuelectenerg-5933	324	4	helix	helix	NOUN
fuelectenerg-5933	324	5	and	and	CCONJ
fuelectenerg-5933	324	6	joins	join	VERB
fuelectenerg-5933	324	7	the	the	DET
fuelectenerg-5933	324	8	flat	flat	ADJ
fuelectenerg-5933	324	9	archimedean	archimedean	ADJ
fuelectenerg-5933	324	10	spiral	spiral	NOUN
fuelectenerg-5933	324	11	at	at	ADP
fuelectenerg-5933	324	12	z	z	NOUN
fuelectenerg-5933	324	13	=	=	SYM
fuelectenerg-5933	324	14	1	1	X
fuelectenerg-5933	324	15	.	.	PUNCT
fuelectenerg-5933	325	1	the	the	DET
fuelectenerg-5933	325	2	conical	conical	ADJ
fuelectenerg-5933	325	3	helix	helix	NOUN
fuelectenerg-5933	325	4	has	have	VERB
fuelectenerg-5933	325	5	5.5	5.5	NUM
fuelectenerg-5933	325	6	turns	turn	NOUN
fuelectenerg-5933	325	7	and	and	CCONJ
fuelectenerg-5933	325	8	the	the	DET
fuelectenerg-5933	325	9	spiral	spiral	ADJ
fuelectenerg-5933	325	10	an	an	DET
fuelectenerg-5933	325	11	undeclared	undeclared	ADJ
fuelectenerg-5933	325	12	number	number	NOUN
fuelectenerg-5933	325	13	of	of	ADP
fuelectenerg-5933	325	14	turns	turn	NOUN
fuelectenerg-5933	325	15	–	–	PUNCT
fuelectenerg-5933	325	16	at	at	ADV
fuelectenerg-5933	325	17	least	least	ADJ
fuelectenerg-5933	325	18	3	3	NUM
fuelectenerg-5933	325	19	turns	turn	NOUN
fuelectenerg-5933	325	20	were	be	AUX
fuelectenerg-5933	325	21	assumed	assume	VERB
fuelectenerg-5933	325	22	here	here	ADV
fuelectenerg-5933	325	23	.	.	PUNCT
fuelectenerg-5933	326	1	the	the	DET
fuelectenerg-5933	326	2	capability	capability	NOUN
fuelectenerg-5933	326	3	of	of	ADP
fuelectenerg-5933	326	4	describing	describe	VERB
fuelectenerg-5933	326	5	both	both	DET
fuelectenerg-5933	326	6	sections	section	NOUN
fuelectenerg-5933	326	7	of	of	ADP
fuelectenerg-5933	326	8	the	the	DET
fuelectenerg-5933	326	9	winding	winding	NOUN
fuelectenerg-5933	326	10	with	with	ADP
fuelectenerg-5933	326	11	a	a	DET
fuelectenerg-5933	326	12	single	single	ADJ
fuelectenerg-5933	326	13	higher	high	ADJ
fuelectenerg-5933	326	14	-	-	PUNCT
fuelectenerg-5933	326	15	order	order	NOUN
fuelectenerg-5933	326	16	equation	equation	NOUN
fuelectenerg-5933	326	17	is	be	AUX
fuelectenerg-5933	326	18	illustrated	illustrate	VERB
fuelectenerg-5933	326	19	by	by	ADP
fuelectenerg-5933	326	20	this	this	DET
fuelectenerg-5933	326	21	example	example	NOUN
fuelectenerg-5933	326	22	.	.	PUNCT
fuelectenerg-5933	327	1	it	it	PRON
fuelectenerg-5933	327	2	is	be	AUX
fuelectenerg-5933	327	3	also	also	ADV
fuelectenerg-5933	327	4	noted	note	VERB
fuelectenerg-5933	327	5	that	that	SCONJ
fuelectenerg-5933	327	6	since	since	SCONJ
fuelectenerg-5933	327	7	z	z	PROPN
fuelectenerg-5933	327	8	=	=	SYM
fuelectenerg-5933	327	9	1	1	NUM
fuelectenerg-5933	327	10	for	for	ADP
fuelectenerg-5933	327	11	all	all	DET
fuelectenerg-5933	327	12	the	the	DET
fuelectenerg-5933	327	13	spiral	spiral	ADJ
fuelectenerg-5933	327	14	turns	turn	NOUN
fuelectenerg-5933	327	15	,	,	PUNCT
fuelectenerg-5933	327	16	the	the	DET
fuelectenerg-5933	327	17	pitch	pitch	NOUN
fuelectenerg-5933	327	18	p	p	NOUN
fuelectenerg-5933	327	19	of	of	ADP
fuelectenerg-5933	327	20	the	the	DET
fuelectenerg-5933	327	21	flat	flat	ADJ
fuelectenerg-5933	327	22	spiral	spiral	ADJ
fuelectenerg-5933	327	23	conductors	conductor	NOUN
fuelectenerg-5933	327	24	is	be	AUX
fuelectenerg-5933	327	25	given	give	VERB
fuelectenerg-5933	327	26	by	by	ADP
fuelectenerg-5933	327	27	dr	dr	PROPN
fuelectenerg-5933	327	28	/	/	PROPN
fuelectenerg-5933	327	29	dn	dn	PROPN
fuelectenerg-5933	327	30	instead	instead	ADV
fuelectenerg-5933	327	31	of	of	ADP
fuelectenerg-5933	327	32	the	the	DET
fuelectenerg-5933	327	33	helical	helical	ADJ
fuelectenerg-5933	327	34	dz	dz	PROPN
fuelectenerg-5933	327	35	/	/	SYM
fuelectenerg-5933	327	36	dn	dn	PROPN
fuelectenerg-5933	327	37	.	.	PUNCT
fuelectenerg-5933	328	1	the	the	DET
fuelectenerg-5933	328	2	rms	rm	NOUN
fuelectenerg-5933	328	3	errors	error	NOUN
fuelectenerg-5933	328	4	for	for	ADP
fuelectenerg-5933	328	5	fig	fig	NOUN
fuelectenerg-5933	328	6	.	.	PUNCT
fuelectenerg-5933	329	1	24	24	NUM
fuelectenerg-5933	329	2	are	be	AUX
fuelectenerg-5933	329	3	3.509	3.509	NUM
fuelectenerg-5933	329	4	%	%	NOUN
fuelectenerg-5933	329	5	for	for	ADP
fuelectenerg-5933	329	6	the	the	DET
fuelectenerg-5933	329	7	power	power	NOUN
fuelectenerg-5933	329	8	-	-	PUNCT
fuelectenerg-5933	329	9	law	law	NOUN
fuelectenerg-5933	329	10	form	form	NOUN
fuelectenerg-5933	329	11	and	and	CCONJ
fuelectenerg-5933	329	12	3.801	3.801	NUM
fuelectenerg-5933	329	13	%	%	NOUN
fuelectenerg-5933	329	14	for	for	ADP
fuelectenerg-5933	329	15	the	the	DET
fuelectenerg-5933	329	16	exponential	exponential	ADJ
fuelectenerg-5933	329	17	form	form	NOUN
fuelectenerg-5933	329	18	.	.	PUNCT
fuelectenerg-5933	330	1	the	the	DET
fuelectenerg-5933	330	2	rms	rm	NOUN
fuelectenerg-5933	330	3	errors	error	NOUN
fuelectenerg-5933	330	4	for	for	ADP
fuelectenerg-5933	330	5	fig	fig	NOUN
fuelectenerg-5933	330	6	.	.	PUNCT
fuelectenerg-5933	331	1	25	25	NUM
fuelectenerg-5933	331	2	are	be	AUX
fuelectenerg-5933	331	3	2.770	2.770	NUM
fuelectenerg-5933	331	4	%	%	NOUN
fuelectenerg-5933	331	5	for	for	ADP
fuelectenerg-5933	331	6	the	the	DET
fuelectenerg-5933	331	7	power	power	NOUN
fuelectenerg-5933	331	8	-	-	PUNCT
fuelectenerg-5933	331	9	law	law	NOUN
fuelectenerg-5933	331	10	form	form	NOUN
fuelectenerg-5933	331	11	and	and	CCONJ
fuelectenerg-5933	331	12	3.001	3.001	NUM
fuelectenerg-5933	331	13	%	%	NOUN
fuelectenerg-5933	331	14	for	for	ADP
fuelectenerg-5933	331	15	the	the	DET
fuelectenerg-5933	331	16	exponential	exponential	ADJ
fuelectenerg-5933	331	17	form	form	NOUN
fuelectenerg-5933	331	18	.	.	PUNCT
fuelectenerg-5933	332	1	5.6	5.6	NUM
fuelectenerg-5933	332	2	.	.	X
fuelectenerg-5933	333	1	two	two	NUM
fuelectenerg-5933	333	2	trigonometric	trigonometric	ADJ
fuelectenerg-5933	333	3	forms	form	NOUN
fuelectenerg-5933	333	4	two	two	NUM
fuelectenerg-5933	333	5	higher	high	ADJ
fuelectenerg-5933	333	6	-	-	PUNCT
fuelectenerg-5933	333	7	order	order	NOUN
fuelectenerg-5933	333	8	equations	equation	NOUN
fuelectenerg-5933	333	9	presented	present	VERB
fuelectenerg-5933	333	10	for	for	ADP
fuelectenerg-5933	333	11	concave	concave	NOUN
fuelectenerg-5933	333	12	and	and	CCONJ
fuelectenerg-5933	333	13	convex	convex	VERB
fuelectenerg-5933	333	14	helix	helix	ADJ
fuelectenerg-5933	333	15	profiles	profile	NOUN
fuelectenerg-5933	333	16	[	[	X
fuelectenerg-5933	333	17	19	19	NUM
fuelectenerg-5933	333	18	]	]	PUNCT
fuelectenerg-5933	333	19	are	be	AUX
fuelectenerg-5933	333	20	in	in	ADP
fuelectenerg-5933	333	21	normalized	normalize	VERB
fuelectenerg-5933	333	22	trigonometric	trigonometric	ADJ
fuelectenerg-5933	333	23	form	form	NOUN
fuelectenerg-5933	333	24	,	,	PUNCT
fuelectenerg-5933	333	25	eqs	eqs	X
fuelectenerg-5933	333	26	(	(	PUNCT
fuelectenerg-5933	333	27	29	29	NUM
fuelectenerg-5933	333	28	)	)	PUNCT
fuelectenerg-5933	333	29	and	and	CCONJ
fuelectenerg-5933	333	30	(	(	PUNCT
fuelectenerg-5933	333	31	30	30	NUM
fuelectenerg-5933	333	32	):	):	PUNCT
fuelectenerg-5933	334	1	546	546	NUM
fuelectenerg-5933	334	2	g.	g.	PROPN
fuelectenerg-5933	334	3	e.	e.	PROPN
fuelectenerg-5933	334	4	innes	innes	PROPN
fuelectenerg-5933	334	5	1	1	NUM
fuelectenerg-5933	334	6	1	1	NUM
fuelectenerg-5933	334	7	1	1	NUM
fuelectenerg-5933	334	8	1	1	NUM
fuelectenerg-5933	334	9	tan	tan	NOUN
fuelectenerg-5933	334	10	(	(	PUNCT
fuelectenerg-5933	334	11	1	1	NUM
fuelectenerg-5933	334	12	)	)	PUNCT
fuelectenerg-5933	334	13	tan	tan	PROPN
fuelectenerg-5933	334	14	(	(	PUNCT
fuelectenerg-5933	334	15	concave)t	concave)t	NOUN
fuelectenerg-5933	334	16	z	z	ADP
fuelectenerg-5933	334	17			NOUN
fuelectenerg-5933	334	18	−	−	PROPN
fuelectenerg-5933	334	19			PROPN
fuelectenerg-5933	334	20			PROPN
fuelectenerg-5933	334	21			NOUN
fuelectenerg-5933	334	22	=	=	PUNCT
fuelectenerg-5933	335	1	−	−	PROPN
fuelectenerg-5933	335	2	−	−	PROPN
fuelectenerg-5933	335	3			PROPN
fuelectenerg-5933	335	4			PROPN
fuelectenerg-5933	335	5			PROPN
fuelectenerg-5933	336	1			PROPN
fuelectenerg-5933	336	2			PROPN
fuelectenerg-5933	336	3			PROPN
fuelectenerg-5933	336	4	(	(	PUNCT
fuelectenerg-5933	336	5	29	29	NUM
fuelectenerg-5933	336	6	)	)	SYM
fuelectenerg-5933	336	7	2	2	NUM
fuelectenerg-5933	336	8	1	1	NUM
fuelectenerg-5933	336	9	1	1	NUM
fuelectenerg-5933	336	10	1	1	NUM
fuelectenerg-5933	336	11	tan	tan	PROPN
fuelectenerg-5933	336	12	tan	tan	PROPN
fuelectenerg-5933	336	13	(	(	PUNCT
fuelectenerg-5933	336	14	convex	convex	PROPN
fuelectenerg-5933	336	15	)	)	PUNCT
fuelectenerg-5933	336	16	z	z	NOUN
fuelectenerg-5933	336	17	t	t	NOUN
fuelectenerg-5933	336	18			X
fuelectenerg-5933	336	19			X
fuelectenerg-5933	336	20			PROPN
fuelectenerg-5933	336	21	−	−	NOUN
fuelectenerg-5933	336	22			PROPN
fuelectenerg-5933	336	23			PROPN
fuelectenerg-5933	336	24			NOUN
fuelectenerg-5933	336	25			NOUN
fuelectenerg-5933	336	26	=	=	PUNCT
fuelectenerg-5933	337	1	−	−	PROPN
fuelectenerg-5933	337	2			PROPN
fuelectenerg-5933	337	3			PROPN
fuelectenerg-5933	338	1			PROPN
fuelectenerg-5933	338	2			ADJ
fuelectenerg-5933	338	3			PROPN
fuelectenerg-5933	339	1			ADJ
fuelectenerg-5933	339	2			NUM
fuelectenerg-5933	339	3			PROPN
fuelectenerg-5933	339	4			PROPN
fuelectenerg-5933	339	5			PROPN
fuelectenerg-5933	339	6	(	(	PUNCT
fuelectenerg-5933	339	7	30	30	NUM
fuelectenerg-5933	339	8	)	)	PUNCT
fuelectenerg-5933	339	9	where	where	SCONJ
fuelectenerg-5933	339	10	t	t	NOUN
fuelectenerg-5933	339	11	=	=	SYM
fuelectenerg-5933	339	12	r	r	X
fuelectenerg-5933	339	13	/	/	SYM
fuelectenerg-5933	339	14	r2	r2	NOUN
fuelectenerg-5933	339	15	(	(	PUNCT
fuelectenerg-5933	339	16	with	with	ADP
fuelectenerg-5933	339	17	r1	r1	PROPN
fuelectenerg-5933	339	18	=	=	SYM
fuelectenerg-5933	339	19	0	0	NUM
fuelectenerg-5933	339	20	)	)	PUNCT
fuelectenerg-5933	339	21	and	and	CCONJ
fuelectenerg-5933	339	22	0	0	NUM
fuelectenerg-5933	339	23	≤	≤	NUM
fuelectenerg-5933	339	24	t	t	NOUN
fuelectenerg-5933	339	25	≤	≤	NUM
fuelectenerg-5933	339	26	1	1	NUM
fuelectenerg-5933	339	27	over	over	ADP
fuelectenerg-5933	339	28	the	the	DET
fuelectenerg-5933	339	29	range	range	NOUN
fuelectenerg-5933	339	30	0	0	NUM
fuelectenerg-5933	339	31	≤	≤	NUM
fuelectenerg-5933	339	32	z	z	NOUN
fuelectenerg-5933	339	33	≤	≤	NUM
fuelectenerg-5933	339	34	1	1	NUM
fuelectenerg-5933	339	35	.	.	PUNCT
fuelectenerg-5933	340	1	the	the	DET
fuelectenerg-5933	340	2	variable	variable	NOUN
fuelectenerg-5933	340	3	to	to	PART
fuelectenerg-5933	340	4	be	be	AUX
fuelectenerg-5933	340	5	optimized	optimize	VERB
fuelectenerg-5933	340	6	is	be	AUX
fuelectenerg-5933	340	7	2	2	NUM
fuelectenerg-5933	340	8	/	/	SYM
fuelectenerg-5933	340	9	π	π	PROPN
fuelectenerg-5933	340	10	<	<	X
fuelectenerg-5933	340	11	α	α	X
fuelectenerg-5933	340	12	<	<	X
fuelectenerg-5933	340	13	∞.	∞.	PROPN
fuelectenerg-5933	340	14	these	these	PRON
fuelectenerg-5933	340	15	are	be	AUX
fuelectenerg-5933	340	16	complementary	complementary	ADJ
fuelectenerg-5933	340	17	equations	equation	NOUN
fuelectenerg-5933	340	18	with	with	ADP
fuelectenerg-5933	340	19	the	the	DET
fuelectenerg-5933	340	20	property	property	NOUN
fuelectenerg-5933	340	21	of	of	ADP
fuelectenerg-5933	340	22	being	be	AUX
fuelectenerg-5933	340	23	symmetrical	symmetrical	ADJ
fuelectenerg-5933	340	24	about	about	ADP
fuelectenerg-5933	340	25	the	the	DET
fuelectenerg-5933	340	26	line	line	NOUN
fuelectenerg-5933	340	27	t	t	NOUN
fuelectenerg-5933	340	28	=	=	SYM
fuelectenerg-5933	340	29	z	z	PROPN
fuelectenerg-5933	340	30	,	,	PUNCT
fuelectenerg-5933	340	31	fig	fig	NOUN
fuelectenerg-5933	340	32	.	.	PUNCT
fuelectenerg-5933	341	1	26	26	NUM
fuelectenerg-5933	341	2	.	.	PUNCT
fuelectenerg-5933	342	1	this	this	PRON
fuelectenerg-5933	342	2	may	may	AUX
fuelectenerg-5933	342	3	be	be	AUX
fuelectenerg-5933	342	4	shown	show	VERB
fuelectenerg-5933	342	5	by	by	ADP
fuelectenerg-5933	342	6	rearranging	rearrange	VERB
fuelectenerg-5933	342	7	the	the	DET
fuelectenerg-5933	342	8	form	form	NOUN
fuelectenerg-5933	342	9	of	of	ADP
fuelectenerg-5933	342	10	t(z	t(z	PROPN
fuelectenerg-5933	342	11	)	)	PUNCT
fuelectenerg-5933	342	12	to	to	PART
fuelectenerg-5933	342	13	obtain	obtain	VERB
fuelectenerg-5933	342	14	z(t	z(t	NOUN
fuelectenerg-5933	342	15	)	)	PUNCT
fuelectenerg-5933	342	16	in	in	ADP
fuelectenerg-5933	342	17	the	the	DET
fuelectenerg-5933	342	18	complementary	complementary	ADJ
fuelectenerg-5933	342	19	form	form	NOUN
fuelectenerg-5933	342	20	,	,	PUNCT
fuelectenerg-5933	342	21	and	and	CCONJ
fuelectenerg-5933	342	22	vice	vice	ADV
fuelectenerg-5933	342	23	versa	versa	ADV
fuelectenerg-5933	342	24	.	.	PUNCT
fuelectenerg-5933	343	1	the	the	DET
fuelectenerg-5933	343	2	normalized	normalize	VERB
fuelectenerg-5933	343	3	trigonometric	trigonometric	ADJ
fuelectenerg-5933	343	4	forms	form	NOUN
fuelectenerg-5933	343	5	are	be	AUX
fuelectenerg-5933	343	6	slightly	slightly	ADV
fuelectenerg-5933	343	7	more	more	ADV
fuelectenerg-5933	343	8	cumbersome	cumbersome	ADJ
fuelectenerg-5933	343	9	than	than	ADP
fuelectenerg-5933	343	10	the	the	DET
fuelectenerg-5933	343	11	forms	form	NOUN
fuelectenerg-5933	343	12	presented	present	VERB
fuelectenerg-5933	343	13	above	above	ADP
fuelectenerg-5933	343	14	,	,	PUNCT
fuelectenerg-5933	343	15	since	since	SCONJ
fuelectenerg-5933	343	16	separate	separate	ADJ
fuelectenerg-5933	343	17	equations	equation	NOUN
fuelectenerg-5933	343	18	must	must	AUX
fuelectenerg-5933	343	19	be	be	AUX
fuelectenerg-5933	343	20	used	use	VERB
fuelectenerg-5933	343	21	for	for	ADP
fuelectenerg-5933	343	22	the	the	DET
fuelectenerg-5933	343	23	concave	concave	ADJ
fuelectenerg-5933	343	24	and	and	CCONJ
fuelectenerg-5933	343	25	convex	convex	NOUN
fuelectenerg-5933	343	26	cases	case	NOUN
fuelectenerg-5933	343	27	.	.	PUNCT
fuelectenerg-5933	344	1	when	when	SCONJ
fuelectenerg-5933	344	2	approximating	approximate	VERB
fuelectenerg-5933	344	3	eqs	eq	NOUN
fuelectenerg-5933	344	4	(	(	PUNCT
fuelectenerg-5933	344	5	29	29	NUM
fuelectenerg-5933	344	6	)	)	PUNCT
fuelectenerg-5933	344	7	and	and	CCONJ
fuelectenerg-5933	344	8	(	(	PUNCT
fuelectenerg-5933	344	9	30	30	NUM
fuelectenerg-5933	344	10	)	)	PUNCT
fuelectenerg-5933	344	11	with	with	ADP
fuelectenerg-5933	344	12	the	the	DET
fuelectenerg-5933	344	13	power	power	NOUN
fuelectenerg-5933	344	14	-	-	PUNCT
fuelectenerg-5933	344	15	law	law	NOUN
fuelectenerg-5933	344	16	and	and	CCONJ
fuelectenerg-5933	344	17	exponential	exponential	NOUN
fuelectenerg-5933	344	18	-	-	PUNCT
fuelectenerg-5933	344	19	based	base	VERB
fuelectenerg-5933	344	20	forms	form	NOUN
fuelectenerg-5933	344	21	,	,	PUNCT
fuelectenerg-5933	344	22	sets	set	NOUN
fuelectenerg-5933	344	23	of	of	ADP
fuelectenerg-5933	344	24	data	datum	NOUN
fuelectenerg-5933	344	25	points	point	NOUN
fuelectenerg-5933	344	26	(	(	PUNCT
fuelectenerg-5933	344	27	z	z	NOUN
fuelectenerg-5933	344	28	,	,	PUNCT
fuelectenerg-5933	344	29	t	t	PROPN
fuelectenerg-5933	344	30	)	)	PUNCT
fuelectenerg-5933	344	31	were	be	AUX
fuelectenerg-5933	344	32	first	first	ADV
fuelectenerg-5933	344	33	generated	generate	VERB
fuelectenerg-5933	344	34	and	and	CCONJ
fuelectenerg-5933	344	35	then	then	ADV
fuelectenerg-5933	344	36	the	the	DET
fuelectenerg-5933	344	37	curve	curve	NOUN
fuelectenerg-5933	344	38	-	-	PUNCT
fuelectenerg-5933	344	39	fitting	fit	VERB
fuelectenerg-5933	344	40	process	process	NOUN
fuelectenerg-5933	344	41	applied	apply	VERB
fuelectenerg-5933	344	42	.	.	PUNCT
fuelectenerg-5933	345	1	the	the	DET
fuelectenerg-5933	345	2	data	data	NOUN
fuelectenerg-5933	345	3	points	point	VERB
fuelectenerg-5933	345	4	for	for	ADP
fuelectenerg-5933	345	5	eq	eq	PROPN
fuelectenerg-5933	345	6	.	.	PUNCT
fuelectenerg-5933	346	1	(	(	PUNCT
fuelectenerg-5933	346	2	29	29	NUM
fuelectenerg-5933	346	3	)	)	PUNCT
fuelectenerg-5933	346	4	were	be	AUX
fuelectenerg-5933	346	5	chosen	choose	VERB
fuelectenerg-5933	346	6	as	as	ADP
fuelectenerg-5933	346	7	the	the	DET
fuelectenerg-5933	346	8	intersections	intersection	NOUN
fuelectenerg-5933	346	9	between	between	ADP
fuelectenerg-5933	346	10	the	the	DET
fuelectenerg-5933	346	11	curve	curve	NOUN
fuelectenerg-5933	346	12	and	and	CCONJ
fuelectenerg-5933	346	13	a	a	DET
fuelectenerg-5933	346	14	family	family	NOUN
fuelectenerg-5933	346	15	of	of	ADP
fuelectenerg-5933	346	16	lines	line	NOUN
fuelectenerg-5933	346	17	radiating	radiate	VERB
fuelectenerg-5933	346	18	from	from	ADP
fuelectenerg-5933	346	19	the	the	DET
fuelectenerg-5933	346	20	point	point	NOUN
fuelectenerg-5933	346	21	(	(	PUNCT
fuelectenerg-5933	346	22	z	z	NOUN
fuelectenerg-5933	346	23	,	,	PUNCT
fuelectenerg-5933	346	24	t	t	PROPN
fuelectenerg-5933	346	25	)	)	PUNCT
fuelectenerg-5933	346	26	=	=	SYM
fuelectenerg-5933	347	1	(	(	PUNCT
fuelectenerg-5933	347	2	0	0	NUM
fuelectenerg-5933	347	3	,	,	PUNCT
fuelectenerg-5933	347	4	1	1	NUM
fuelectenerg-5933	347	5	)	)	PUNCT
fuelectenerg-5933	347	6	,	,	PUNCT
fuelectenerg-5933	347	7	generated	generate	VERB
fuelectenerg-5933	347	8	by	by	ADP
fuelectenerg-5933	347	9	:	:	PUNCT
fuelectenerg-5933	347	10	t	t	PROPN
fuelectenerg-5933	347	11	1	1	NUM
fuelectenerg-5933	347	12	=	=	SYM
fuelectenerg-5933	347	13	1	1	NUM
fuelectenerg-5933	347	14	-	-	PUNCT
fuelectenerg-5933	347	15	z	z	NOUN
fuelectenerg-5933	347	16	cotq	cotq	NOUN
fuelectenerg-5933	347	17	(	(	PUNCT
fuelectenerg-5933	347	18	31	31	NUM
fuelectenerg-5933	347	19	)	)	PUNCT
fuelectenerg-5933	347	20	where	where	SCONJ
fuelectenerg-5933	347	21	the	the	DET
fuelectenerg-5933	347	22	angle	angle	NOUN
fuelectenerg-5933	347	23	θ	θ	PROPN
fuelectenerg-5933	347	24	was	be	AUX
fuelectenerg-5933	347	25	varied	varied	ADJ
fuelectenerg-5933	347	26	in	in	ADP
fuelectenerg-5933	347	27	5	5	NUM
fuelectenerg-5933	347	28	-	-	PUNCT
fuelectenerg-5933	347	29	degree	degree	NOUN
fuelectenerg-5933	347	30	increments	increment	NOUN
fuelectenerg-5933	347	31	over	over	ADP
fuelectenerg-5933	347	32	the	the	DET
fuelectenerg-5933	347	33	range	range	NOUN
fuelectenerg-5933	347	34	0	0	NUM
fuelectenerg-5933	347	35	≤	≤	NUM
fuelectenerg-5933	348	1	θ	θ	PROPN
fuelectenerg-5933	348	2	≤	≤	ADV
fuelectenerg-5933	348	3	90	90	NUM
fuelectenerg-5933	348	4	degrees	degree	NOUN
fuelectenerg-5933	348	5	.	.	PUNCT
fuelectenerg-5933	349	1	this	this	DET
fuelectenerg-5933	349	2	arrangement	arrangement	NOUN
fuelectenerg-5933	349	3	produced	produce	VERB
fuelectenerg-5933	349	4	a	a	DET
fuelectenerg-5933	349	5	relatively	relatively	ADV
fuelectenerg-5933	349	6	uniform	uniform	ADJ
fuelectenerg-5933	349	7	distribution	distribution	NOUN
fuelectenerg-5933	349	8	of	of	ADP
fuelectenerg-5933	349	9	points	point	NOUN
fuelectenerg-5933	349	10	over	over	ADP
fuelectenerg-5933	349	11	the	the	DET
fuelectenerg-5933	349	12	length	length	NOUN
fuelectenerg-5933	349	13	of	of	ADP
fuelectenerg-5933	349	14	each	each	DET
fuelectenerg-5933	349	15	curve	curve	NOUN
fuelectenerg-5933	349	16	.	.	PUNCT
fuelectenerg-5933	350	1	the	the	DET
fuelectenerg-5933	350	2	complementary	complementary	ADJ
fuelectenerg-5933	350	3	sets	set	NOUN
fuelectenerg-5933	350	4	of	of	ADP
fuelectenerg-5933	350	5	data	datum	NOUN
fuelectenerg-5933	350	6	for	for	ADP
fuelectenerg-5933	350	7	eq	eq	PROPN
fuelectenerg-5933	350	8	.	.	PUNCT
fuelectenerg-5933	350	9	(	(	PUNCT
fuelectenerg-5933	350	10	30	30	NUM
fuelectenerg-5933	350	11	)	)	PUNCT
fuelectenerg-5933	350	12	were	be	AUX
fuelectenerg-5933	350	13	generated	generate	VERB
fuelectenerg-5933	350	14	using	use	VERB
fuelectenerg-5933	350	15	z	z	PROPN
fuelectenerg-5933	350	16	values	value	NOUN
fuelectenerg-5933	350	17	equal	equal	ADJ
fuelectenerg-5933	350	18	to	to	ADP
fuelectenerg-5933	350	19	the	the	DET
fuelectenerg-5933	350	20	t1	t1	NOUN
fuelectenerg-5933	350	21	values	value	NOUN
fuelectenerg-5933	350	22	from	from	ADP
fuelectenerg-5933	350	23	the	the	DET
fuelectenerg-5933	350	24	data	data	NOUN
fuelectenerg-5933	350	25	sets	set	NOUN
fuelectenerg-5933	350	26	for	for	ADP
fuelectenerg-5933	350	27	eq	eq	NOUN
fuelectenerg-5933	350	28	.	.	PUNCT
fuelectenerg-5933	351	1	(	(	PUNCT
fuelectenerg-5933	351	2	29	29	NUM
fuelectenerg-5933	351	3	)	)	PUNCT
fuelectenerg-5933	351	4	.	.	PUNCT
fuelectenerg-5933	352	1	table	table	NOUN
fuelectenerg-5933	352	2	2	2	NUM
fuelectenerg-5933	352	3	gives	give	VERB
fuelectenerg-5933	352	4	examples	example	NOUN
fuelectenerg-5933	352	5	of	of	ADP
fuelectenerg-5933	352	6	the	the	DET
fuelectenerg-5933	352	7	best	good	ADJ
fuelectenerg-5933	352	8	-	-	PUNCT
fuelectenerg-5933	352	9	fit	fit	ADJ
fuelectenerg-5933	352	10	coefficients	coefficient	NOUN
fuelectenerg-5933	352	11	for	for	ADP
fuelectenerg-5933	352	12	comparable	comparable	ADJ
fuelectenerg-5933	352	13	exponential	exponential	ADJ
fuelectenerg-5933	352	14	-	-	PUNCT
fuelectenerg-5933	352	15	pluslinear	pluslinear	NOUN
fuelectenerg-5933	352	16	and	and	CCONJ
fuelectenerg-5933	352	17	power	power	NOUN
fuelectenerg-5933	352	18	-	-	PUNCT
fuelectenerg-5933	352	19	law	law	NOUN
fuelectenerg-5933	352	20	-	-	PUNCT
fuelectenerg-5933	352	21	plus	plus	CCONJ
fuelectenerg-5933	352	22	-	-	PUNCT
fuelectenerg-5933	352	23	linear	linear	NOUN
fuelectenerg-5933	352	24	forms	form	NOUN
fuelectenerg-5933	352	25	.	.	PUNCT
fuelectenerg-5933	353	1	fig	fig	NOUN
fuelectenerg-5933	353	2	.	.	PUNCT
fuelectenerg-5933	354	1	26	26	NUM
fuelectenerg-5933	354	2	illustrates	illustrate	VERB
fuelectenerg-5933	354	3	the	the	DET
fuelectenerg-5933	354	4	difference	difference	NOUN
fuelectenerg-5933	354	5	between	between	ADP
fuelectenerg-5933	354	6	these	these	DET
fuelectenerg-5933	354	7	curve	curve	NOUN
fuelectenerg-5933	354	8	-	-	PUNCT
fuelectenerg-5933	354	9	fits	fit	NOUN
fuelectenerg-5933	354	10	and	and	CCONJ
fuelectenerg-5933	354	11	the	the	DET
fuelectenerg-5933	354	12	data	data	NOUN
fuelectenerg-5933	354	13	points	point	NOUN
fuelectenerg-5933	354	14	.	.	PUNCT
fuelectenerg-5933	355	1	in	in	ADP
fuelectenerg-5933	355	2	fig	fig	NOUN
fuelectenerg-5933	355	3	.	.	PUNCT
fuelectenerg-5933	356	1	26	26	NUM
fuelectenerg-5933	356	2	,	,	PUNCT
fuelectenerg-5933	356	3	the	the	DET
fuelectenerg-5933	356	4	exponential	exponential	NOUN
fuelectenerg-5933	356	5	-	-	PUNCT
fuelectenerg-5933	356	6	plus	plus	CCONJ
fuelectenerg-5933	356	7	-	-	PUNCT
fuelectenerg-5933	356	8	linear	linear	NOUN
fuelectenerg-5933	356	9	form	form	NOUN
fuelectenerg-5933	356	10	(	(	PUNCT
fuelectenerg-5933	356	11	solid	solid	ADJ
fuelectenerg-5933	356	12	curves	curve	NOUN
fuelectenerg-5933	356	13	)	)	PUNCT
fuelectenerg-5933	356	14	was	be	AUX
fuelectenerg-5933	356	15	typically	typically	ADV
fuelectenerg-5933	356	16	better	well	ADJ
fuelectenerg-5933	356	17	than	than	ADP
fuelectenerg-5933	356	18	the	the	DET
fuelectenerg-5933	356	19	power	power	NOUN
fuelectenerg-5933	356	20	-	-	PUNCT
fuelectenerg-5933	356	21	law	law	NOUN
fuelectenerg-5933	356	22	-	-	PUNCT
fuelectenerg-5933	356	23	plus	plus	CCONJ
fuelectenerg-5933	356	24	-	-	PUNCT
fuelectenerg-5933	356	25	linear	linear	NOUN
fuelectenerg-5933	356	26	form	form	NOUN
fuelectenerg-5933	356	27	(	(	PUNCT
fuelectenerg-5933	356	28	dashed	dash	VERB
fuelectenerg-5933	356	29	curves	curve	NOUN
fuelectenerg-5933	356	30	)	)	PUNCT
fuelectenerg-5933	356	31	in	in	ADP
fuelectenerg-5933	356	32	approximating	approximate	VERB
fuelectenerg-5933	356	33	the	the	DET
fuelectenerg-5933	356	34	trigonometric	trigonometric	ADJ
fuelectenerg-5933	356	35	form	form	NOUN
fuelectenerg-5933	356	36	.	.	PUNCT
fuelectenerg-5933	357	1	the	the	DET
fuelectenerg-5933	357	2	overall	overall	ADJ
fuelectenerg-5933	357	3	fit	fit	NOUN
fuelectenerg-5933	357	4	as	as	SCONJ
fuelectenerg-5933	357	5	measured	measure	VERB
fuelectenerg-5933	357	6	by	by	ADP
fuelectenerg-5933	357	7	the	the	DET
fuelectenerg-5933	357	8	difference	difference	NOUN
fuelectenerg-5933	357	9	∆trms	∆trm	NOUN
fuelectenerg-5933	357	10	was	be	AUX
fuelectenerg-5933	357	11	better	well	ADJ
fuelectenerg-5933	357	12	for	for	ADP
fuelectenerg-5933	357	13	the	the	DET
fuelectenerg-5933	357	14	concave	concave	ADJ
fuelectenerg-5933	357	15	curves	curve	NOUN
fuelectenerg-5933	357	16	(	(	PUNCT
fuelectenerg-5933	357	17	lower	low	ADJ
fuelectenerg-5933	357	18	right	right	ADJ
fuelectenerg-5933	357	19	area	area	NOUN
fuelectenerg-5933	357	20	)	)	PUNCT
fuelectenerg-5933	357	21	than	than	ADP
fuelectenerg-5933	357	22	for	for	ADP
fuelectenerg-5933	357	23	the	the	DET
fuelectenerg-5933	357	24	convex	convex	NOUN
fuelectenerg-5933	357	25	curves	curve	NOUN
fuelectenerg-5933	357	26	(	(	PUNCT
fuelectenerg-5933	357	27	upper	upper	ADJ
fuelectenerg-5933	357	28	left	left	NOUN
fuelectenerg-5933	357	29	)	)	PUNCT
fuelectenerg-5933	357	30	.	.	PUNCT
fuelectenerg-5933	358	1	from	from	ADP
fuelectenerg-5933	358	2	a	a	DET
fuelectenerg-5933	358	3	practical	practical	ADJ
fuelectenerg-5933	358	4	perspective	perspective	NOUN
fuelectenerg-5933	358	5	,	,	PUNCT
fuelectenerg-5933	358	6	where	where	SCONJ
fuelectenerg-5933	358	7	an	an	DET
fuelectenerg-5933	358	8	agreement	agreement	NOUN
fuelectenerg-5933	358	9	to	to	ADP
fuelectenerg-5933	358	10	within	within	ADP
fuelectenerg-5933	358	11	1	1	NUM
fuelectenerg-5933	358	12	or	or	CCONJ
fuelectenerg-5933	358	13	2	2	NUM
fuelectenerg-5933	358	14	percent	percent	NOUN
fuelectenerg-5933	358	15	may	may	AUX
fuelectenerg-5933	358	16	be	be	AUX
fuelectenerg-5933	358	17	acceptable	acceptable	ADJ
fuelectenerg-5933	358	18	,	,	PUNCT
fuelectenerg-5933	358	19	the	the	DET
fuelectenerg-5933	358	20	choice	choice	NOUN
fuelectenerg-5933	358	21	of	of	ADP
fuelectenerg-5933	358	22	normalized	normalize	VERB
fuelectenerg-5933	358	23	form	form	NOUN
fuelectenerg-5933	358	24	would	would	AUX
fuelectenerg-5933	358	25	be	be	AUX
fuelectenerg-5933	358	26	a	a	DET
fuelectenerg-5933	358	27	matter	matter	NOUN
fuelectenerg-5933	358	28	of	of	ADP
fuelectenerg-5933	358	29	user	user	NOUN
fuelectenerg-5933	358	30	preference	preference	NOUN
fuelectenerg-5933	358	31	.	.	PUNCT
fuelectenerg-5933	359	1	fig	fig	NOUN
fuelectenerg-5933	359	2	.	.	PUNCT
fuelectenerg-5933	360	1	26	26	NUM
fuelectenerg-5933	360	2	trigonometric	trigonometric	ADJ
fuelectenerg-5933	360	3	helix	helix	NOUN
fuelectenerg-5933	360	4	profile	profile	NOUN
fuelectenerg-5933	360	5	t	t	PROPN
fuelectenerg-5933	360	6	versus	versus	ADP
fuelectenerg-5933	360	7	axial	axial	ADJ
fuelectenerg-5933	360	8	distance	distance	NOUN
fuelectenerg-5933	360	9	z	z	NOUN
fuelectenerg-5933	360	10	for	for	ADP
fuelectenerg-5933	360	11	several	several	ADJ
fuelectenerg-5933	360	12	concave	concave	ADJ
fuelectenerg-5933	360	13	and	and	CCONJ
fuelectenerg-5933	360	14	convex	convex	ADJ
fuelectenerg-5933	360	15	helices	helix	NOUN
fuelectenerg-5933	360	16	[	[	X
fuelectenerg-5933	360	17	19	19	NUM
fuelectenerg-5933	360	18	]	]	PUNCT
fuelectenerg-5933	360	19	.	.	PUNCT
fuelectenerg-5933	361	1	higher	high	ADJ
fuelectenerg-5933	361	2	-	-	PUNCT
fuelectenerg-5933	361	3	order	order	NOUN
fuelectenerg-5933	361	4	structural	structural	ADJ
fuelectenerg-5933	361	5	constraints	constraint	NOUN
fuelectenerg-5933	361	6	for	for	ADP
fuelectenerg-5933	361	7	improved	improved	ADJ
fuelectenerg-5933	361	8	optimization	optimization	NOUN
fuelectenerg-5933	361	9	of	of	ADP
fuelectenerg-5933	361	10	nonuniform	nonuniform	ADJ
fuelectenerg-5933	361	11	helical	helical	ADJ
fuelectenerg-5933	361	12	antennas	antenna	NOUN
fuelectenerg-5933	361	13	547	547	NUM
fuelectenerg-5933	361	14	table	table	NOUN
fuelectenerg-5933	361	15	2	2	NUM
fuelectenerg-5933	361	16	curve	curve	NOUN
fuelectenerg-5933	361	17	-	-	PUNCT
fuelectenerg-5933	361	18	fits	fit	NOUN
fuelectenerg-5933	361	19	of	of	ADP
fuelectenerg-5933	361	20	trigonometric	trigonometric	ADJ
fuelectenerg-5933	361	21	data	datum	NOUN
fuelectenerg-5933	361	22	in	in	ADP
fuelectenerg-5933	361	23	fig	fig	NOUN
fuelectenerg-5933	361	24	.	.	PUNCT
fuelectenerg-5933	362	1	26	26	NUM
fuelectenerg-5933	362	2	using	use	VERB
fuelectenerg-5933	362	3	exponential	exponential	NOUN
fuelectenerg-5933	362	4	and	and	CCONJ
fuelectenerg-5933	362	5	power	power	NOUN
fuelectenerg-5933	362	6	-	-	PUNCT
fuelectenerg-5933	362	7	law	law	NOUN
fuelectenerg-5933	362	8	forms	form	NOUN
fuelectenerg-5933	362	9	.	.	PUNCT
fuelectenerg-5933	363	1	α	α	PRON
fuelectenerg-5933	363	2	eq	eq	PROPN
fuelectenerg-5933	363	3	.	.	PUNCT
fuelectenerg-5933	364	1	(	(	PUNCT
fuelectenerg-5933	364	2	29	29	NUM
fuelectenerg-5933	364	3	)	)	PUNCT
fuelectenerg-5933	364	4	best	good	ADJ
fuelectenerg-5933	364	5	-	-	PUNCT
fuelectenerg-5933	364	6	fit	fit	ADJ
fuelectenerg-5933	364	7	exponential	exponential	NOUN
fuelectenerg-5933	364	8	-	-	PUNCT
fuelectenerg-5933	364	9	plus	plus	CCONJ
fuelectenerg-5933	364	10	-	-	PUNCT
fuelectenerg-5933	364	11	linear	linear	NOUN
fuelectenerg-5933	364	12	and	and	CCONJ
fuelectenerg-5933	364	13	power	power	NOUN
fuelectenerg-5933	364	14	-	-	PUNCT
fuelectenerg-5933	364	15	lawplus	lawplus	ADJ
fuelectenerg-5933	364	16	-	-	PUNCT
fuelectenerg-5933	364	17	linear	linear	NOUN
fuelectenerg-5933	364	18	forms	form	NOUN
fuelectenerg-5933	364	19	,	,	PUNCT
fuelectenerg-5933	364	20	plotted	plot	VERB
fuelectenerg-5933	364	21	in	in	ADP
fuelectenerg-5933	364	22	fig	fig	NOUN
fuelectenerg-5933	364	23	.	.	PUNCT
fuelectenerg-5933	365	1	26	26	NUM
fuelectenerg-5933	365	2	.	.	PUNCT
fuelectenerg-5933	366	1	∆trms	∆trm	NOUN
fuelectenerg-5933	366	2	(	(	PUNCT
fuelectenerg-5933	366	3	%	%	NOUN
fuelectenerg-5933	366	4	)	)	PUNCT
fuelectenerg-5933	366	5	0.65	0.65	NUM
fuelectenerg-5933	366	6	0.65	0.65	NUM
fuelectenerg-5933	366	7	f(x	f(x	PROPN
fuelectenerg-5933	366	8	)	)	PUNCT
fuelectenerg-5933	366	9	=	=	PUNCT
fuelectenerg-5933	366	10	(	(	PUNCT
fuelectenerg-5933	366	11	3.053e-11)exp(24.12x	3.053e-11)exp(24.12x	NUM
fuelectenerg-5933	366	12	)	)	PUNCT
fuelectenerg-5933	366	13	–	–	PUNCT
fuelectenerg-5933	366	14	0.1007x	0.1007x	NOUN
fuelectenerg-5933	366	15	–	–	PUNCT
fuelectenerg-5933	366	16	0.0145	0.0145	NUM
fuelectenerg-5933	366	17	f(x	f(x	NOUN
fuelectenerg-5933	366	18	)	)	PUNCT
fuelectenerg-5933	366	19	=	=	PUNCT
fuelectenerg-5933	367	1	0.9050x^23.79	0.9050x^23.79	NUM
fuelectenerg-5933	367	2	+	+	NUM
fuelectenerg-5933	367	3	0.1071x	0.1071x	NOUN
fuelectenerg-5933	367	4	–	–	PUNCT
fuelectenerg-5933	367	5	0.0160	0.0160	NUM
fuelectenerg-5933	367	6	1.080	1.080	NUM
fuelectenerg-5933	367	7	1.212	1.212	NUM
fuelectenerg-5933	367	8	0.78	0.78	NUM
fuelectenerg-5933	367	9	0.78	0.78	NUM
fuelectenerg-5933	367	10	f(x	f(x	PROPN
fuelectenerg-5933	367	11	)	)	PUNCT
fuelectenerg-5933	367	12	=	=	SYM
fuelectenerg-5933	367	13	0.05719exp(2.924x	0.05719exp(2.924x	NUM
fuelectenerg-5933	367	14	)	)	PUNCT
fuelectenerg-5933	367	15	–	–	PUNCT
fuelectenerg-5933	367	16	0.0018x	0.0018x	NOUN
fuelectenerg-5933	367	17	–	–	PUNCT
fuelectenerg-5933	367	18	0.0530	0.0530	NUM
fuelectenerg-5933	367	19	f(x	f(x	PROPN
fuelectenerg-5933	367	20	)	)	PUNCT
fuelectenerg-5933	368	1	=	=	SYM
fuelectenerg-5933	369	1	0.7419x^3.651	0.7419x^3.651	NOUN
fuelectenerg-5933	370	1	+	+	NUM
fuelectenerg-5933	370	2	0.2666x	0.2666x	PROPN
fuelectenerg-5933	370	3	–	–	PUNCT
fuelectenerg-5933	370	4	0.0016	0.0016	NUM
fuelectenerg-5933	370	5	0.428	0.428	NUM
fuelectenerg-5933	370	6	0.266	0.266	NUM
fuelectenerg-5933	370	7	1.4	1.4	NUM
fuelectenerg-5933	370	8	1.4	1.4	NUM
fuelectenerg-5933	370	9	f(x	f(x	PROPN
fuelectenerg-5933	370	10	)	)	PUNCT
fuelectenerg-5933	370	11	=	=	PUNCT
fuelectenerg-5933	370	12	1.1551exp(-0.8804x	1.1551exp(-0.8804x	NUM
fuelectenerg-5933	370	13	)	)	PUNCT
fuelectenerg-5933	371	1	+	+	CCONJ
fuelectenerg-5933	371	2	1.6767x	1.6767x	ADJ
fuelectenerg-5933	371	3	–	–	PUNCT
fuelectenerg-5933	371	4	1.1539	1.1539	NUM
fuelectenerg-5933	371	5	f(x	f(x	NOUN
fuelectenerg-5933	371	6	)	)	PUNCT
fuelectenerg-5933	371	7	=	=	PUNCT
fuelectenerg-5933	372	1	0.3819x^1.701	0.3819x^1.701	PUNCT
fuelectenerg-5933	372	2	+	+	CCONJ
fuelectenerg-5933	373	1	0.6193x	0.6193x	NUM
fuelectenerg-5933	373	2	–	–	PUNCT
fuelectenerg-5933	373	3	0.0014	0.0014	NUM
fuelectenerg-5933	373	4	0.083	0.083	NUM
fuelectenerg-5933	373	5	0.115	0.115	NUM
fuelectenerg-5933	373	6	eq	eq	NOUN
fuelectenerg-5933	373	7	.	.	PUNCT
fuelectenerg-5933	374	1	(	(	PUNCT
fuelectenerg-5933	374	2	30	30	NUM
fuelectenerg-5933	374	3	)	)	PUNCT
fuelectenerg-5933	374	4	0.65	0.65	NUM
fuelectenerg-5933	374	5	0.65	0.65	NUM
fuelectenerg-5933	374	6	f(x	f(x	PROPN
fuelectenerg-5933	374	7	)	)	PUNCT
fuelectenerg-5933	375	1	=	=	PUNCT
fuelectenerg-5933	375	2	–	–	PUNCT
fuelectenerg-5933	375	3	0.8330exp(-36.805x	0.8330exp(-36.805x	NOUN
fuelectenerg-5933	375	4	)	)	PUNCT
fuelectenerg-5933	376	1	+	+	NUM
fuelectenerg-5933	376	2	0.1525x	0.1525x	PUNCT
fuelectenerg-5933	377	1	+	+	CCONJ
fuelectenerg-5933	377	2	0.8699	0.8699	NUM
fuelectenerg-5933	377	3	f(x	f(x	PROPN
fuelectenerg-5933	377	4	)	)	PUNCT
fuelectenerg-5933	377	5	=	=	SYM
fuelectenerg-5933	378	1	1.9899x^0.3352	1.9899x^0.3352	NUM
fuelectenerg-5933	378	2	–	–	PUNCT
fuelectenerg-5933	378	3	0.9871x	0.9871x	NUM
fuelectenerg-5933	378	4	–	–	PUNCT
fuelectenerg-5933	378	5	0.0625	0.0625	NUM
fuelectenerg-5933	378	6	2.250	2.250	NUM
fuelectenerg-5933	378	7	5.457	5.457	NUM
fuelectenerg-5933	378	8	0.78	0.78	NUM
fuelectenerg-5933	378	9	0.78	0.78	NUM
fuelectenerg-5933	378	10	f(x	f(x	PROPN
fuelectenerg-5933	378	11	)	)	PUNCT
fuelectenerg-5933	378	12	=	=	PUNCT
fuelectenerg-5933	378	13	–	–	PUNCT
fuelectenerg-5933	378	14	0.5892exp(-6.383x	0.5892exp(-6.383x	NUM
fuelectenerg-5933	378	15	)	)	PUNCT
fuelectenerg-5933	379	1	+	+	NUM
fuelectenerg-5933	379	2	0.4096x+	0.4096x+	X
fuelectenerg-5933	379	3	0.5961	0.5961	NUM
fuelectenerg-5933	379	4	f(x	f(x	NOUN
fuelectenerg-5933	379	5	)	)	PUNCT
fuelectenerg-5933	380	1	=	=	SYM
fuelectenerg-5933	381	1	3.5057x^0.7709	3.5057x^0.7709	NUM
fuelectenerg-5933	381	2	–	–	PUNCT
fuelectenerg-5933	381	3	2.5082x	2.5082x	NUM
fuelectenerg-5933	381	4	–	–	PUNCT
fuelectenerg-5933	381	5	0.0156	0.0156	NUM
fuelectenerg-5933	381	6	0.356	0.356	NUM
fuelectenerg-5933	381	7	1.122	1.122	NUM
fuelectenerg-5933	381	8	1.4	1.4	NUM
fuelectenerg-5933	381	9	1.4	1.4	NUM
fuelectenerg-5933	381	10	f(x	f(x	PROPN
fuelectenerg-5933	381	11	)	)	PUNCT
fuelectenerg-5933	381	12	=	=	SYM
fuelectenerg-5933	381	13	–	–	PUNCT
fuelectenerg-5933	381	14	0.2506exp(-2.746x	0.2506exp(-2.746x	NUM
fuelectenerg-5933	381	15	)	)	PUNCT
fuelectenerg-5933	382	1	+	+	CCONJ
fuelectenerg-5933	382	2	0.7652x+	0.7652x+	NUM
fuelectenerg-5933	383	1	0.2502	0.2502	NUM
fuelectenerg-5933	383	2	f(x	f(x	PROPN
fuelectenerg-5933	383	3	)	)	PUNCT
fuelectenerg-5933	383	4	=	=	PUNCT
fuelectenerg-5933	383	5	–	–	PUNCT
fuelectenerg-5933	383	6	1.0416x^1.213	1.0416x^1.213	NUM
fuelectenerg-5933	383	7	+	+	CCONJ
fuelectenerg-5933	383	8	2.0405x	2.0405x	NUM
fuelectenerg-5933	383	9	–	–	PUNCT
fuelectenerg-5933	383	10	0.0019	0.0019	NUM
fuelectenerg-5933	383	11	0.028	0.028	NUM
fuelectenerg-5933	383	12	0.154	0.154	NUM
fuelectenerg-5933	383	13	6	6	NUM
fuelectenerg-5933	383	14	.	.	PUNCT
fuelectenerg-5933	383	15	simple	simple	ADJ
fuelectenerg-5933	383	16	test	test	NOUN
fuelectenerg-5933	383	17	of	of	ADP
fuelectenerg-5933	383	18	improved	improved	ADJ
fuelectenerg-5933	383	19	optimization	optimization	NOUN
fuelectenerg-5933	383	20	an	an	DET
fuelectenerg-5933	383	21	individual	individual	ADJ
fuelectenerg-5933	383	22	optimized	optimize	VERB
fuelectenerg-5933	383	23	helical	helical	ADJ
fuelectenerg-5933	383	24	antenna	antenna	NOUN
fuelectenerg-5933	383	25	[	[	X
fuelectenerg-5933	383	26	9,10	9,10	X
fuelectenerg-5933	383	27	]	]	PUNCT
fuelectenerg-5933	383	28	required	require	VERB
fuelectenerg-5933	383	29	substantial	substantial	ADJ
fuelectenerg-5933	383	30	computational	computational	ADJ
fuelectenerg-5933	383	31	effort	effort	NOUN
fuelectenerg-5933	383	32	to	to	PART
fuelectenerg-5933	383	33	arrive	arrive	VERB
fuelectenerg-5933	383	34	at	at	ADP
fuelectenerg-5933	383	35	the	the	DET
fuelectenerg-5933	383	36	structure	structure	NOUN
fuelectenerg-5933	383	37	giving	give	VERB
fuelectenerg-5933	383	38	the	the	DET
fuelectenerg-5933	383	39	best	good	ADJ
fuelectenerg-5933	383	40	signal	signal	ADJ
fuelectenerg-5933	383	41	gain	gain	NOUN
fuelectenerg-5933	383	42	.	.	PUNCT
fuelectenerg-5933	384	1	without	without	ADP
fuelectenerg-5933	384	2	performing	perform	VERB
fuelectenerg-5933	384	3	any	any	DET
fuelectenerg-5933	384	4	further	further	ADJ
fuelectenerg-5933	384	5	computation	computation	NOUN
fuelectenerg-5933	384	6	,	,	PUNCT
fuelectenerg-5933	384	7	it	it	PRON
fuelectenerg-5933	384	8	may	may	AUX
fuelectenerg-5933	384	9	be	be	AUX
fuelectenerg-5933	384	10	demonstrated	demonstrate	VERB
fuelectenerg-5933	384	11	using	use	VERB
fuelectenerg-5933	384	12	a	a	DET
fuelectenerg-5933	384	13	calculus	calculus	NOUN
fuelectenerg-5933	384	14	-	-	PUNCT
fuelectenerg-5933	384	15	of	of	ADP
fuelectenerg-5933	384	16	-	-	PUNCT
fuelectenerg-5933	384	17	variations	variation	NOUN
fuelectenerg-5933	384	18	method	method	NOUN
fuelectenerg-5933	384	19	that	that	SCONJ
fuelectenerg-5933	384	20	adding	add	VERB
fuelectenerg-5933	384	21	curvature	curvature	NOUN
fuelectenerg-5933	384	22	terms	term	NOUN
fuelectenerg-5933	384	23	to	to	ADP
fuelectenerg-5933	384	24	the	the	DET
fuelectenerg-5933	384	25	published	publish	VERB
fuelectenerg-5933	384	26	linear	linear	NOUN
fuelectenerg-5933	384	27	constraints	constraint	NOUN
fuelectenerg-5933	384	28	can	can	AUX
fuelectenerg-5933	384	29	give	give	VERB
fuelectenerg-5933	384	30	improved	improved	ADJ
fuelectenerg-5933	384	31	optimizations	optimization	NOUN
fuelectenerg-5933	384	32	.	.	PUNCT
fuelectenerg-5933	385	1	fig	fig	NOUN
fuelectenerg-5933	385	2	.	.	PUNCT
fuelectenerg-5933	386	1	27b	27b	NUM
fuelectenerg-5933	386	2	shows	show	VERB
fuelectenerg-5933	386	3	an	an	DET
fuelectenerg-5933	386	4	end	end	NOUN
fuelectenerg-5933	386	5	-	-	PUNCT
fuelectenerg-5933	386	6	on	on	ADP
fuelectenerg-5933	386	7	view	view	NOUN
fuelectenerg-5933	386	8	and	and	CCONJ
fuelectenerg-5933	386	9	a	a	DET
fuelectenerg-5933	386	10	profile	profile	NOUN
fuelectenerg-5933	386	11	view	view	NOUN
fuelectenerg-5933	386	12	of	of	ADP
fuelectenerg-5933	386	13	the	the	DET
fuelectenerg-5933	386	14	first	first	ADJ
fuelectenerg-5933	386	15	3	3	NUM
fuelectenerg-5933	386	16	turns	turn	NOUN
fuelectenerg-5933	386	17	of	of	ADP
fuelectenerg-5933	386	18	a	a	DET
fuelectenerg-5933	386	19	linearly	linearly	ADV
fuelectenerg-5933	386	20	constrained	constrain	VERB
fuelectenerg-5933	386	21	square	square	ADJ
fuelectenerg-5933	386	22	-	-	PUNCT
fuelectenerg-5933	386	23	helix	helix	NOUN
fuelectenerg-5933	386	24	based	base	VERB
fuelectenerg-5933	386	25	on	on	ADP
fuelectenerg-5933	386	26	the	the	DET
fuelectenerg-5933	386	27	design	design	NOUN
fuelectenerg-5933	386	28	of	of	ADP
fuelectenerg-5933	386	29	[	[	X
fuelectenerg-5933	386	30	9,10	9,10	NUM
fuelectenerg-5933	386	31	]	]	PUNCT
fuelectenerg-5933	386	32	,	,	PUNCT
fuelectenerg-5933	386	33	with	with	ADP
fuelectenerg-5933	386	34	comparison	comparison	NOUN
fuelectenerg-5933	386	35	views	view	NOUN
fuelectenerg-5933	386	36	of	of	ADP
fuelectenerg-5933	386	37	a	a	DET
fuelectenerg-5933	386	38	concave	concave	ADJ
fuelectenerg-5933	386	39	version	version	NOUN
fuelectenerg-5933	386	40	(	(	PUNCT
fuelectenerg-5933	386	41	fig	fig	NOUN
fuelectenerg-5933	386	42	.	.	PUNCT
fuelectenerg-5933	386	43	27a	27a	NUM
fuelectenerg-5933	386	44	)	)	PUNCT
fuelectenerg-5933	386	45	and	and	CCONJ
fuelectenerg-5933	386	46	a	a	DET
fuelectenerg-5933	386	47	convex	convex	ADJ
fuelectenerg-5933	386	48	version	version	NOUN
fuelectenerg-5933	386	49	(	(	PUNCT
fuelectenerg-5933	386	50	fig	fig	NOUN
fuelectenerg-5933	386	51	.	.	PUNCT
fuelectenerg-5933	386	52	27c	27c	NOUN
fuelectenerg-5933	386	53	)	)	PUNCT
fuelectenerg-5933	386	54	generated	generate	VERB
fuelectenerg-5933	386	55	by	by	ADP
fuelectenerg-5933	386	56	the	the	DET
fuelectenerg-5933	386	57	higher	high	ADJ
fuelectenerg-5933	386	58	-	-	PUNCT
fuelectenerg-5933	386	59	order	order	NOUN
fuelectenerg-5933	386	60	constraints	constraint	NOUN
fuelectenerg-5933	386	61	.	.	PUNCT
fuelectenerg-5933	387	1	a	a	DET
fuelectenerg-5933	387	2	monotonic	monotonic	ADJ
fuelectenerg-5933	387	3	increase	increase	NOUN
fuelectenerg-5933	387	4	in	in	ADP
fuelectenerg-5933	387	5	radius	radius	NOUN
fuelectenerg-5933	387	6	per	per	ADP
fuelectenerg-5933	387	7	turn	turn	NOUN
fuelectenerg-5933	387	8	is	be	AUX
fuelectenerg-5933	387	9	shown	show	VERB
fuelectenerg-5933	387	10	.	.	PUNCT
fuelectenerg-5933	388	1	the	the	DET
fuelectenerg-5933	388	2	helix	helix	ADJ
fuelectenerg-5933	388	3	end	end	NOUN
fuelectenerg-5933	388	4	points	point	NOUN
fuelectenerg-5933	388	5	are	be	AUX
fuelectenerg-5933	388	6	the	the	DET
fuelectenerg-5933	388	7	same	same	ADJ
fuelectenerg-5933	388	8	for	for	ADP
fuelectenerg-5933	388	9	all	all	DET
fuelectenerg-5933	388	10	three	three	NUM
fuelectenerg-5933	388	11	examples	example	NOUN
fuelectenerg-5933	388	12	.	.	PUNCT
fuelectenerg-5933	389	1	these	these	DET
fuelectenerg-5933	389	2	views	view	NOUN
fuelectenerg-5933	389	3	emphasize	emphasize	VERB
fuelectenerg-5933	389	4	the	the	DET
fuelectenerg-5933	389	5	helix	helix	ADJ
fuelectenerg-5933	389	6	radius	radius	NOUN
fuelectenerg-5933	389	7	,	,	PUNCT
fuelectenerg-5933	389	8	since	since	SCONJ
fuelectenerg-5933	389	9	the	the	DET
fuelectenerg-5933	389	10	conclusion	conclusion	NOUN
fuelectenerg-5933	389	11	of	of	ADP
fuelectenerg-5933	389	12	subsection	subsection	NOUN
fuelectenerg-5933	389	13	4.3	4.3	NUM
fuelectenerg-5933	389	14	suggested	suggest	VERB
fuelectenerg-5933	389	15	that	that	SCONJ
fuelectenerg-5933	389	16	adding	add	VERB
fuelectenerg-5933	389	17	curvature	curvature	NOUN
fuelectenerg-5933	389	18	to	to	ADP
fuelectenerg-5933	389	19	the	the	DET
fuelectenerg-5933	389	20	radius	radius	NOUN
fuelectenerg-5933	389	21	constraint	constraint	NOUN
fuelectenerg-5933	389	22	would	would	AUX
fuelectenerg-5933	389	23	give	give	VERB
fuelectenerg-5933	389	24	the	the	DET
fuelectenerg-5933	389	25	most	most	ADV
fuelectenerg-5933	389	26	efficient	efficient	ADJ
fuelectenerg-5933	389	27	improvement	improvement	NOUN
fuelectenerg-5933	389	28	.	.	PUNCT
fuelectenerg-5933	390	1	the	the	DET
fuelectenerg-5933	390	2	precise	precise	ADJ
fuelectenerg-5933	390	3	form	form	NOUN
fuelectenerg-5933	390	4	of	of	ADP
fuelectenerg-5933	390	5	the	the	DET
fuelectenerg-5933	390	6	higher	high	ADJ
fuelectenerg-5933	390	7	-	-	PUNCT
fuelectenerg-5933	390	8	order	order	NOUN
fuelectenerg-5933	390	9	constraint	constraint	NOUN
fuelectenerg-5933	390	10	is	be	AUX
fuelectenerg-5933	390	11	immaterial	immaterial	ADJ
fuelectenerg-5933	390	12	,	,	PUNCT
fuelectenerg-5933	390	13	as	as	SCONJ
fuelectenerg-5933	390	14	indicated	indicate	VERB
fuelectenerg-5933	390	15	at	at	ADP
fuelectenerg-5933	390	16	the	the	DET
fuelectenerg-5933	390	17	conclusion	conclusion	NOUN
fuelectenerg-5933	390	18	of	of	ADP
fuelectenerg-5933	390	19	subsection	subsection	NOUN
fuelectenerg-5933	390	20	5.6	5.6	NUM
fuelectenerg-5933	390	21	,	,	PUNCT
fuelectenerg-5933	390	22	for	for	ADP
fuelectenerg-5933	390	23	a	a	DET
fuelectenerg-5933	390	24	structural	structural	ADJ
fuelectenerg-5933	390	25	accuracy	accuracy	NOUN
fuelectenerg-5933	390	26	on	on	ADP
fuelectenerg-5933	390	27	the	the	DET
fuelectenerg-5933	390	28	order	order	NOUN
fuelectenerg-5933	390	29	of	of	ADP
fuelectenerg-5933	390	30	1	1	NUM
fuelectenerg-5933	390	31	or	or	CCONJ
fuelectenerg-5933	390	32	2	2	NUM
fuelectenerg-5933	390	33	percent	percent	NOUN
fuelectenerg-5933	390	34	.	.	PUNCT
fuelectenerg-5933	391	1	assuming	assume	VERB
fuelectenerg-5933	391	2	the	the	DET
fuelectenerg-5933	391	3	same	same	ADJ
fuelectenerg-5933	391	4	number	number	NOUN
fuelectenerg-5933	391	5	of	of	ADP
fuelectenerg-5933	391	6	turns	turn	NOUN
fuelectenerg-5933	391	7	n	n	CCONJ
fuelectenerg-5933	391	8	,	,	PUNCT
fuelectenerg-5933	391	9	the	the	DET
fuelectenerg-5933	391	10	same	same	ADJ
fuelectenerg-5933	391	11	overall	overall	ADJ
fuelectenerg-5933	391	12	helix	helix	ADJ
fuelectenerg-5933	391	13	length	length	NOUN
fuelectenerg-5933	391	14	l	l	NOUN
fuelectenerg-5933	391	15	and	and	CCONJ
fuelectenerg-5933	391	16	identical	identical	ADJ
fuelectenerg-5933	391	17	radius	radius	NOUN
fuelectenerg-5933	391	18	and	and	CCONJ
fuelectenerg-5933	391	19	pitch	pitch	NOUN
fuelectenerg-5933	391	20	values	value	NOUN
fuelectenerg-5933	391	21	at	at	ADP
fuelectenerg-5933	391	22	z	z	NOUN
fuelectenerg-5933	391	23	=	=	SYM
fuelectenerg-5933	391	24	0	0	NUM
fuelectenerg-5933	391	25	and	and	CCONJ
fuelectenerg-5933	391	26	z	z	NOUN
fuelectenerg-5933	391	27	=	=	SYM
fuelectenerg-5933	391	28	l	l	NOUN
fuelectenerg-5933	391	29	,	,	PUNCT
fuelectenerg-5933	391	30	the	the	DET
fuelectenerg-5933	391	31	concave	concave	ADJ
fuelectenerg-5933	391	32	version	version	NOUN
fuelectenerg-5933	391	33	has	have	VERB
fuelectenerg-5933	391	34	a	a	DET
fuelectenerg-5933	391	35	shorter	short	ADJ
fuelectenerg-5933	391	36	wire	wire	NOUN
fuelectenerg-5933	391	37	length	length	NOUN
fuelectenerg-5933	391	38	than	than	ADP
fuelectenerg-5933	391	39	the	the	DET
fuelectenerg-5933	391	40	linearly	linearly	ADV
fuelectenerg-5933	391	41	varying	vary	VERB
fuelectenerg-5933	391	42	helix	helix	NOUN
fuelectenerg-5933	391	43	,	,	PUNCT
fuelectenerg-5933	391	44	while	while	SCONJ
fuelectenerg-5933	391	45	the	the	DET
fuelectenerg-5933	391	46	convex	convex	NOUN
fuelectenerg-5933	391	47	version	version	NOUN
fuelectenerg-5933	391	48	has	have	VERB
fuelectenerg-5933	391	49	a	a	DET
fuelectenerg-5933	391	50	longer	long	ADJ
fuelectenerg-5933	391	51	wire	wire	NOUN
fuelectenerg-5933	391	52	length	length	NOUN
fuelectenerg-5933	391	53	.	.	PUNCT
fuelectenerg-5933	392	1	helix	helix	ADJ
fuelectenerg-5933	392	2	profiles	profile	NOUN
fuelectenerg-5933	392	3	with	with	ADP
fuelectenerg-5933	392	4	either	either	CCONJ
fuelectenerg-5933	392	5	a	a	DET
fuelectenerg-5933	392	6	“	"	PUNCT
fuelectenerg-5933	392	7	waist	waist	NOUN
fuelectenerg-5933	392	8	”	"	PUNCT
fuelectenerg-5933	392	9	or	or	CCONJ
fuelectenerg-5933	392	10	“	"	PUNCT
fuelectenerg-5933	392	11	bulge	bulge	NOUN
fuelectenerg-5933	392	12	”	"	PUNCT
fuelectenerg-5933	392	13	,	,	PUNCT
fuelectenerg-5933	392	14	fig	fig	NOUN
fuelectenerg-5933	392	15	.	.	PUNCT
fuelectenerg-5933	392	16	5	5	NUM
fuelectenerg-5933	392	17	,	,	PUNCT
fuelectenerg-5933	392	18	could	could	AUX
fuelectenerg-5933	392	19	also	also	ADV
fuelectenerg-5933	392	20	be	be	AUX
fuelectenerg-5933	392	21	considered	consider	VERB
fuelectenerg-5933	392	22	as	as	SCONJ
fuelectenerg-5933	392	23	they	they	PRON
fuelectenerg-5933	392	24	may	may	AUX
fuelectenerg-5933	392	25	also	also	ADV
fuelectenerg-5933	392	26	have	have	VERB
fuelectenerg-5933	392	27	longer	long	ADJ
fuelectenerg-5933	392	28	or	or	CCONJ
fuelectenerg-5933	392	29	shorter	short	ADJ
fuelectenerg-5933	392	30	wire	wire	NOUN
fuelectenerg-5933	392	31	lengths	length	NOUN
fuelectenerg-5933	392	32	.	.	PUNCT
fuelectenerg-5933	393	1	thus	thus	ADV
fuelectenerg-5933	393	2	,	,	PUNCT
fuelectenerg-5933	393	3	when	when	SCONJ
fuelectenerg-5933	393	4	optimizing	optimize	VERB
fuelectenerg-5933	393	5	for	for	ADP
fuelectenerg-5933	393	6	signal	signal	ADJ
fuelectenerg-5933	393	7	gain	gain	NOUN
fuelectenerg-5933	393	8	,	,	PUNCT
fuelectenerg-5933	393	9	one	one	NUM
fuelectenerg-5933	393	10	of	of	ADP
fuelectenerg-5933	393	11	two	two	NUM
fuelectenerg-5933	393	12	possible	possible	ADJ
fuelectenerg-5933	393	13	scenarios	scenario	NOUN
fuelectenerg-5933	393	14	will	will	AUX
fuelectenerg-5933	393	15	generally	generally	ADV
fuelectenerg-5933	393	16	occur	occur	VERB
fuelectenerg-5933	393	17	:	:	PUNCT
fuelectenerg-5933	393	18	(	(	PUNCT
fuelectenerg-5933	393	19	a	a	X
fuelectenerg-5933	393	20	)	)	PUNCT
fuelectenerg-5933	393	21	the	the	DET
fuelectenerg-5933	393	22	gain	gain	NOUN
fuelectenerg-5933	393	23	increases	increase	VERB
fuelectenerg-5933	393	24	with	with	ADP
fuelectenerg-5933	393	25	an	an	DET
fuelectenerg-5933	393	26	infinitesimal	infinitesimal	ADJ
fuelectenerg-5933	393	27	decrease	decrease	NOUN
fuelectenerg-5933	393	28	in	in	ADP
fuelectenerg-5933	393	29	wire	wire	NOUN
fuelectenerg-5933	393	30	length	length	NOUN
fuelectenerg-5933	393	31	,	,	PUNCT
fuelectenerg-5933	393	32	or	or	CCONJ
fuelectenerg-5933	393	33	(	(	PUNCT
fuelectenerg-5933	393	34	b	b	X
fuelectenerg-5933	393	35	)	)	PUNCT
fuelectenerg-5933	393	36	the	the	DET
fuelectenerg-5933	393	37	gain	gain	NOUN
fuelectenerg-5933	393	38	increases	increase	VERB
fuelectenerg-5933	393	39	with	with	ADP
fuelectenerg-5933	393	40	an	an	DET
fuelectenerg-5933	393	41	infinitesimal	infinitesimal	ADJ
fuelectenerg-5933	393	42	increase	increase	NOUN
fuelectenerg-5933	393	43	in	in	ADP
fuelectenerg-5933	393	44	wire	wire	NOUN
fuelectenerg-5933	393	45	length	length	NOUN
fuelectenerg-5933	393	46	.	.	PUNCT
fuelectenerg-5933	394	1	for	for	ADP
fuelectenerg-5933	394	2	scenario	scenario	NOUN
fuelectenerg-5933	394	3	(	(	PUNCT
fuelectenerg-5933	394	4	a	a	NOUN
fuelectenerg-5933	394	5	)	)	PUNCT
fuelectenerg-5933	394	6	,	,	PUNCT
fuelectenerg-5933	394	7	a	a	DET
fuelectenerg-5933	394	8	concave	concave	NOUN
fuelectenerg-5933	394	9	helix	helix	NOUN
fuelectenerg-5933	394	10	would	would	AUX
fuelectenerg-5933	394	11	have	have	VERB
fuelectenerg-5933	394	12	shorter	short	ADJ
fuelectenerg-5933	394	13	wire	wire	NOUN
fuelectenerg-5933	394	14	length	length	NOUN
fuelectenerg-5933	394	15	and	and	CCONJ
fuelectenerg-5933	394	16	would	would	AUX
fuelectenerg-5933	394	17	thus	thus	ADV
fuelectenerg-5933	394	18	exhibit	exhibit	VERB
fuelectenerg-5933	394	19	superior	superior	ADJ
fuelectenerg-5933	394	20	gain	gain	NOUN
fuelectenerg-5933	394	21	over	over	ADP
fuelectenerg-5933	394	22	the	the	DET
fuelectenerg-5933	394	23	linearly	linearly	ADV
fuelectenerg-5933	394	24	varying	vary	VERB
fuelectenerg-5933	394	25	helix	helix	NOUN
fuelectenerg-5933	394	26	.	.	PUNCT
fuelectenerg-5933	395	1	for	for	ADP
fuelectenerg-5933	395	2	scenario	scenario	NOUN
fuelectenerg-5933	395	3	(	(	PUNCT
fuelectenerg-5933	395	4	b	b	NOUN
fuelectenerg-5933	395	5	)	)	PUNCT
fuelectenerg-5933	395	6	,	,	PUNCT
fuelectenerg-5933	395	7	the	the	DET
fuelectenerg-5933	395	8	longer	long	ADJ
fuelectenerg-5933	395	9	wire	wire	NOUN
fuelectenerg-5933	395	10	length	length	NOUN
fuelectenerg-5933	395	11	of	of	ADP
fuelectenerg-5933	395	12	a	a	DET
fuelectenerg-5933	395	13	convex	convex	NOUN
fuelectenerg-5933	395	14	helix	helix	NOUN
fuelectenerg-5933	395	15	would	would	AUX
fuelectenerg-5933	395	16	give	give	VERB
fuelectenerg-5933	395	17	superior	superior	ADJ
fuelectenerg-5933	395	18	performance	performance	NOUN
fuelectenerg-5933	395	19	compared	compare	VERB
fuelectenerg-5933	395	20	with	with	ADP
fuelectenerg-5933	395	21	the	the	DET
fuelectenerg-5933	395	22	linearly	linearly	ADV
fuelectenerg-5933	395	23	varying	vary	VERB
fuelectenerg-5933	395	24	helix	helix	NOUN
fuelectenerg-5933	395	25	.	.	PUNCT
fuelectenerg-5933	396	1	for	for	ADP
fuelectenerg-5933	396	2	either	either	DET
fuelectenerg-5933	396	3	scenario	scenario	NOUN
fuelectenerg-5933	396	4	,	,	PUNCT
fuelectenerg-5933	396	5	there	there	PRON
fuelectenerg-5933	396	6	would	would	AUX
fuelectenerg-5933	396	7	exist	exist	VERB
fuelectenerg-5933	396	8	a	a	DET
fuelectenerg-5933	396	9	better	well	ADV
fuelectenerg-5933	396	10	-	-	PUNCT
fuelectenerg-5933	396	11	performing	perform	VERB
fuelectenerg-5933	396	12	helix	helix	NOUN
fuelectenerg-5933	396	13	generated	generate	VERB
fuelectenerg-5933	396	14	by	by	ADP
fuelectenerg-5933	396	15	the	the	DET
fuelectenerg-5933	396	16	higherorder	higherorder	NOUN
fuelectenerg-5933	396	17	constraints	constraint	NOUN
fuelectenerg-5933	396	18	.	.	PUNCT
fuelectenerg-5933	397	1	actual	actual	ADJ
fuelectenerg-5933	397	2	effect	effect	NOUN
fuelectenerg-5933	397	3	of	of	ADP
fuelectenerg-5933	397	4	the	the	DET
fuelectenerg-5933	397	5	radius	radius	NOUN
fuelectenerg-5933	397	6	curvature	curvature	NOUN
fuelectenerg-5933	397	7	on	on	ADP
fuelectenerg-5933	397	8	performance	performance	NOUN
fuelectenerg-5933	397	9	will	will	AUX
fuelectenerg-5933	397	10	be	be	AUX
fuelectenerg-5933	397	11	complicated	complicate	VERB
fuelectenerg-5933	397	12	,	,	PUNCT
fuelectenerg-5933	397	13	but	but	CCONJ
fuelectenerg-5933	397	14	it	it	PRON
fuelectenerg-5933	397	15	is	be	AUX
fuelectenerg-5933	397	16	demonstrated	demonstrate	VERB
fuelectenerg-5933	397	17	clearly	clearly	ADV
fuelectenerg-5933	397	18	that	that	SCONJ
fuelectenerg-5933	397	19	an	an	DET
fuelectenerg-5933	397	20	improved	improved	ADJ
fuelectenerg-5933	397	21	optimization	optimization	NOUN
fuelectenerg-5933	397	22	is	be	AUX
fuelectenerg-5933	397	23	generally	generally	ADV
fuelectenerg-5933	397	24	possible	possible	ADJ
fuelectenerg-5933	397	25	.	.	PUNCT
fuelectenerg-5933	398	1	548	548	NUM
fuelectenerg-5933	398	2	g.	g.	PROPN
fuelectenerg-5933	398	3	e.	e.	PROPN
fuelectenerg-5933	398	4	innes	innes	PROPN
fuelectenerg-5933	398	5	fig	fig	PROPN
fuelectenerg-5933	398	6	.	.	PUNCT
fuelectenerg-5933	399	1	27	27	NUM
fuelectenerg-5933	399	2	overhead	overhead	ADJ
fuelectenerg-5933	399	3	views	view	NOUN
fuelectenerg-5933	399	4	and	and	CCONJ
fuelectenerg-5933	399	5	profile	profile	VERB
fuelectenerg-5933	399	6	views	view	NOUN
fuelectenerg-5933	399	7	of	of	ADP
fuelectenerg-5933	399	8	square	square	ADJ
fuelectenerg-5933	399	9	helix	helix	ADJ
fuelectenerg-5933	399	10	windings	winding	NOUN
fuelectenerg-5933	399	11	:	:	PUNCT
fuelectenerg-5933	399	12	a	a	X
fuelectenerg-5933	399	13	)	)	PUNCT
fuelectenerg-5933	399	14	concave	concave	PROPN
fuelectenerg-5933	399	15	,	,	PUNCT
fuelectenerg-5933	399	16	b	b	NOUN
fuelectenerg-5933	399	17	)	)	PUNCT
fuelectenerg-5933	399	18	linear	linear	PROPN
fuelectenerg-5933	399	19	and	and	CCONJ
fuelectenerg-5933	399	20	c	c	NOUN
fuelectenerg-5933	399	21	)	)	PUNCT
fuelectenerg-5933	399	22	convex	convex	NOUN
fuelectenerg-5933	399	23	.	.	PUNCT
fuelectenerg-5933	400	1	the	the	DET
fuelectenerg-5933	400	2	dashed	dash	VERB
fuelectenerg-5933	400	3	gray	gray	ADJ
fuelectenerg-5933	400	4	lines	line	NOUN
fuelectenerg-5933	400	5	indicate	indicate	VERB
fuelectenerg-5933	400	6	the	the	DET
fuelectenerg-5933	400	7	physical	physical	ADJ
fuelectenerg-5933	400	8	support	support	NOUN
fuelectenerg-5933	400	9	structure	structure	NOUN
fuelectenerg-5933	400	10	.	.	PUNCT
fuelectenerg-5933	401	1	the	the	DET
fuelectenerg-5933	401	2	solid	solid	ADJ
fuelectenerg-5933	401	3	gray	gray	ADJ
fuelectenerg-5933	401	4	lines	line	NOUN
fuelectenerg-5933	401	5	are	be	AUX
fuelectenerg-5933	401	6	hidden	hide	VERB
fuelectenerg-5933	401	7	portions	portion	NOUN
fuelectenerg-5933	401	8	of	of	ADP
fuelectenerg-5933	401	9	the	the	DET
fuelectenerg-5933	401	10	winding	winding	NOUN
fuelectenerg-5933	401	11	.	.	PUNCT
fuelectenerg-5933	402	1	in	in	ADP
fuelectenerg-5933	402	2	a	a	DET
fuelectenerg-5933	402	3	simulation	simulation	NOUN
fuelectenerg-5933	402	4	with	with	ADP
fuelectenerg-5933	402	5	curved	curved	ADJ
fuelectenerg-5933	402	6	helix	helix	ADJ
fuelectenerg-5933	402	7	profiles	profile	NOUN
fuelectenerg-5933	402	8	[	[	X
fuelectenerg-5933	402	9	19	19	NUM
fuelectenerg-5933	402	10	]	]	X
fuelectenerg-5933	402	11	,	,	PUNCT
fuelectenerg-5933	402	12	a	a	DET
fuelectenerg-5933	402	13	concave	concave	NOUN
fuelectenerg-5933	402	14	profile	profile	NOUN
fuelectenerg-5933	402	15	strongly	strongly	ADV
fuelectenerg-5933	402	16	flared	flare	VERB
fuelectenerg-5933	402	17	at	at	ADP
fuelectenerg-5933	402	18	the	the	DET
fuelectenerg-5933	402	19	top	top	NOUN
fuelectenerg-5933	402	20	(	(	PUNCT
fuelectenerg-5933	402	21	z	z	NOUN
fuelectenerg-5933	402	22	=	=	SYM
fuelectenerg-5933	402	23	l	l	NOUN
fuelectenerg-5933	402	24	)	)	PUNCT
fuelectenerg-5933	402	25	proved	prove	VERB
fuelectenerg-5933	402	26	best	well	ADV
fuelectenerg-5933	402	27	when	when	SCONJ
fuelectenerg-5933	402	28	optimizing	optimize	VERB
fuelectenerg-5933	402	29	for	for	ADP
fuelectenerg-5933	402	30	bandwidth	bandwidth	NOUN
fuelectenerg-5933	402	31	with	with	ADP
fuelectenerg-5933	402	32	a	a	DET
fuelectenerg-5933	402	33	relatively	relatively	ADV
fuelectenerg-5933	402	34	short	short	ADJ
fuelectenerg-5933	402	35	helix	helix	NOUN
fuelectenerg-5933	402	36	(	(	PUNCT
fuelectenerg-5933	402	37	n	n	PROPN
fuelectenerg-5933	402	38	≈	≈	PROPN
fuelectenerg-5933	402	39	6	6	NUM
fuelectenerg-5933	402	40	)	)	PUNCT
fuelectenerg-5933	402	41	.	.	PUNCT
fuelectenerg-5933	403	1	similarly	similarly	ADV
fuelectenerg-5933	403	2	,	,	PUNCT
fuelectenerg-5933	403	3	the	the	DET
fuelectenerg-5933	403	4	analogy	analogy	NOUN
fuelectenerg-5933	403	5	with	with	ADP
fuelectenerg-5933	403	6	the	the	DET
fuelectenerg-5933	403	7	yagi	yagi	ADJ
fuelectenerg-5933	403	8	-	-	PUNCT
fuelectenerg-5933	403	9	uda	uda	NOUN
fuelectenerg-5933	403	10	antenna	antenna	NOUN
fuelectenerg-5933	403	11	optimized	optimize	VERB
fuelectenerg-5933	403	12	for	for	ADP
fuelectenerg-5933	403	13	gain	gain	NOUN
fuelectenerg-5933	403	14	would	would	AUX
fuelectenerg-5933	403	15	also	also	ADV
fuelectenerg-5933	403	16	predict	predict	VERB
fuelectenerg-5933	403	17	a	a	DET
fuelectenerg-5933	403	18	profile	profile	NOUN
fuelectenerg-5933	403	19	with	with	ADP
fuelectenerg-5933	403	20	kr	kr	PROPN
fuelectenerg-5933	403	21	≈	≈	PROPN
fuelectenerg-5933	403	22	ar	ar	PROPN
fuelectenerg-5933	403	23	for	for	ADP
fuelectenerg-5933	403	24	the	the	DET
fuelectenerg-5933	403	25	optimized	optimize	VERB
fuelectenerg-5933	403	26	helical	helical	ADJ
fuelectenerg-5933	403	27	antenna	antenna	NOUN
fuelectenerg-5933	403	28	.	.	PUNCT
fuelectenerg-5933	404	1	the	the	DET
fuelectenerg-5933	404	2	generally	generally	ADV
fuelectenerg-5933	404	3	positive	positive	ADJ
fuelectenerg-5933	404	4	linear	linear	ADJ
fuelectenerg-5933	404	5	tapers	taper	NOUN
fuelectenerg-5933	404	6	for	for	ADP
fuelectenerg-5933	404	7	the	the	DET
fuelectenerg-5933	404	8	optimizations	optimization	NOUN
fuelectenerg-5933	404	9	of	of	ADP
fuelectenerg-5933	404	10	[	[	X
fuelectenerg-5933	404	11	9,10	9,10	X
fuelectenerg-5933	404	12	]	]	PUNCT
fuelectenerg-5933	404	13	would	would	AUX
fuelectenerg-5933	404	14	suggest	suggest	VERB
fuelectenerg-5933	404	15	any	any	DET
fuelectenerg-5933	404	16	concave	concave	NOUN
fuelectenerg-5933	404	17	flare	flare	NOUN
fuelectenerg-5933	404	18	should	should	AUX
fuelectenerg-5933	404	19	typically	typically	ADV
fuelectenerg-5933	404	20	occur	occur	VERB
fuelectenerg-5933	404	21	at	at	ADP
fuelectenerg-5933	404	22	the	the	DET
fuelectenerg-5933	404	23	top	top	NOUN
fuelectenerg-5933	404	24	of	of	ADP
fuelectenerg-5933	404	25	the	the	DET
fuelectenerg-5933	404	26	helix	helix	NOUN
fuelectenerg-5933	404	27	for	for	ADP
fuelectenerg-5933	404	28	a	a	DET
fuelectenerg-5933	404	29	longer	long	ADJ
fuelectenerg-5933	404	30	antenna	antenna	NOUN
fuelectenerg-5933	404	31	.	.	PUNCT
fuelectenerg-5933	405	1	a	a	DET
fuelectenerg-5933	405	2	preliminary	preliminary	ADJ
fuelectenerg-5933	405	3	survey	survey	NOUN
fuelectenerg-5933	405	4	[	[	X
fuelectenerg-5933	405	5	10	10	NUM
fuelectenerg-5933	405	6	]	]	PUNCT
fuelectenerg-5933	405	7	indicated	indicate	VERB
fuelectenerg-5933	405	8	that	that	SCONJ
fuelectenerg-5933	405	9	nonlinear	nonlinear	ADJ
fuelectenerg-5933	405	10	helix	helix	ADJ
fuelectenerg-5933	405	11	profiles	profile	NOUN
fuelectenerg-5933	405	12	provide	provide	VERB
fuelectenerg-5933	405	13	little	little	ADJ
fuelectenerg-5933	405	14	to	to	ADP
fuelectenerg-5933	405	15	no	no	DET
fuelectenerg-5933	405	16	improvement	improvement	NOUN
fuelectenerg-5933	405	17	in	in	ADP
fuelectenerg-5933	405	18	gain	gain	NOUN
fuelectenerg-5933	405	19	for	for	ADP
fuelectenerg-5933	405	20	antenna	antenna	NOUN
fuelectenerg-5933	405	21	lengths	length	NOUN
fuelectenerg-5933	405	22	in	in	ADP
fuelectenerg-5933	405	23	the	the	DET
fuelectenerg-5933	405	24	range	range	NOUN
fuelectenerg-5933	405	25	2	2	NUM
fuelectenerg-5933	405	26	≤	≤	NUM
fuelectenerg-5933	405	27	l	l	NOUN
fuelectenerg-5933	405	28	≤	≤	NOUN
fuelectenerg-5933	405	29	10.	10.	NUM
fuelectenerg-5933	405	30	this	this	PRON
fuelectenerg-5933	405	31	may	may	AUX
fuelectenerg-5933	405	32	be	be	AUX
fuelectenerg-5933	405	33	explained	explain	VERB
fuelectenerg-5933	405	34	using	use	VERB
fuelectenerg-5933	405	35	the	the	DET
fuelectenerg-5933	405	36	geometries	geometry	NOUN
fuelectenerg-5933	405	37	of	of	ADP
fuelectenerg-5933	405	38	the	the	DET
fuelectenerg-5933	405	39	antennas	antenna	NOUN
fuelectenerg-5933	405	40	in	in	ADP
fuelectenerg-5933	405	41	[	[	X
fuelectenerg-5933	405	42	9,10	9,10	NUM
fuelectenerg-5933	405	43	]	]	X
fuelectenerg-5933	405	44	.	.	PUNCT
fuelectenerg-5933	406	1	for	for	ADP
fuelectenerg-5933	406	2	a	a	DET
fuelectenerg-5933	406	3	given	give	VERB
fuelectenerg-5933	406	4	design	design	NOUN
fuelectenerg-5933	406	5	frequency	frequency	NOUN
fuelectenerg-5933	406	6	,	,	PUNCT
fuelectenerg-5933	406	7	the	the	DET
fuelectenerg-5933	406	8	helix	helix	ADJ
fuelectenerg-5933	406	9	radius	radius	NOUN
fuelectenerg-5933	406	10	is	be	AUX
fuelectenerg-5933	406	11	confined	confine	VERB
fuelectenerg-5933	406	12	to	to	ADP
fuelectenerg-5933	406	13	a	a	DET
fuelectenerg-5933	406	14	relatively	relatively	ADV
fuelectenerg-5933	406	15	narrow	narrow	ADJ
fuelectenerg-5933	406	16	range	range	NOUN
fuelectenerg-5933	406	17	of	of	ADP
fuelectenerg-5933	406	18	values	value	NOUN
fuelectenerg-5933	406	19	regardless	regardless	ADV
fuelectenerg-5933	406	20	of	of	ADP
fuelectenerg-5933	406	21	antenna	antenna	NOUN
fuelectenerg-5933	406	22	length	length	NOUN
fuelectenerg-5933	406	23	.	.	PUNCT
fuelectenerg-5933	407	1	thus	thus	ADV
fuelectenerg-5933	407	2	,	,	PUNCT
fuelectenerg-5933	407	3	the	the	PRON
fuelectenerg-5933	407	4	longer	long	ADJ
fuelectenerg-5933	407	5	the	the	DET
fuelectenerg-5933	407	6	antenna	antenna	NOUN
fuelectenerg-5933	407	7	,	,	PUNCT
fuelectenerg-5933	407	8	the	the	DET
fuelectenerg-5933	407	9	more	more	ADJ
fuelectenerg-5933	407	10	slender	slender	NOUN
fuelectenerg-5933	407	11	it	it	PRON
fuelectenerg-5933	407	12	is	be	AUX
fuelectenerg-5933	407	13	and	and	CCONJ
fuelectenerg-5933	407	14	the	the	PRON
fuelectenerg-5933	407	15	more	more	ADJ
fuelectenerg-5933	407	16	it	it	PRON
fuelectenerg-5933	407	17	resembles	resemble	VERB
fuelectenerg-5933	407	18	a	a	DET
fuelectenerg-5933	407	19	uniform	uniform	ADJ
fuelectenerg-5933	407	20	helix	helix	NOUN
fuelectenerg-5933	407	21	.	.	PUNCT
fuelectenerg-5933	408	1	conversely	conversely	ADV
fuelectenerg-5933	408	2	,	,	PUNCT
fuelectenerg-5933	408	3	the	the	PRON
fuelectenerg-5933	408	4	shorter	short	ADJ
fuelectenerg-5933	408	5	the	the	DET
fuelectenerg-5933	408	6	antenna	antenna	NOUN
fuelectenerg-5933	408	7	,	,	PUNCT
fuelectenerg-5933	408	8	the	the	DET
fuelectenerg-5933	408	9	more	more	ADV
fuelectenerg-5933	408	10	conical	conical	NOUN
fuelectenerg-5933	408	11	or	or	CCONJ
fuelectenerg-5933	408	12	curved	curve	VERB
fuelectenerg-5933	408	13	the	the	DET
fuelectenerg-5933	408	14	profile	profile	NOUN
fuelectenerg-5933	408	15	will	will	AUX
fuelectenerg-5933	408	16	appear	appear	VERB
fuelectenerg-5933	408	17	.	.	PUNCT
fuelectenerg-5933	409	1	such	such	DET
fuelectenerg-5933	409	2	a	a	DET
fuelectenerg-5933	409	3	pronounced	pronounced	ADJ
fuelectenerg-5933	409	4	nonlinear	nonlinear	ADJ
fuelectenerg-5933	409	5	shape	shape	NOUN
fuelectenerg-5933	409	6	would	would	AUX
fuelectenerg-5933	409	7	therefore	therefore	ADV
fuelectenerg-5933	409	8	be	be	AUX
fuelectenerg-5933	409	9	expected	expect	VERB
fuelectenerg-5933	409	10	to	to	PART
fuelectenerg-5933	409	11	have	have	VERB
fuelectenerg-5933	409	12	a	a	DET
fuelectenerg-5933	409	13	greater	great	ADJ
fuelectenerg-5933	409	14	influence	influence	NOUN
fuelectenerg-5933	409	15	on	on	ADP
fuelectenerg-5933	409	16	the	the	DET
fuelectenerg-5933	409	17	electromagnetic	electromagnetic	ADJ
fuelectenerg-5933	409	18	properties	property	NOUN
fuelectenerg-5933	409	19	of	of	ADP
fuelectenerg-5933	409	20	the	the	DET
fuelectenerg-5933	409	21	helix	helix	NOUN
fuelectenerg-5933	409	22	,	,	PUNCT
fuelectenerg-5933	409	23	where	where	SCONJ
fuelectenerg-5933	409	24	l	l	NOUN
fuelectenerg-5933	409	25	≤	≤	NOUN
fuelectenerg-5933	409	26	2.	2.	PROPN
fuelectenerg-5933	409	27	7	7	NUM
fuelectenerg-5933	409	28	.	.	PUNCT
fuelectenerg-5933	410	1	conclusions	conclusion	NOUN
fuelectenerg-5933	410	2	7.1	7.1	NUM
fuelectenerg-5933	410	3	.	.	PUNCT
fuelectenerg-5933	411	1	improved	improve	VERB
fuelectenerg-5933	411	2	structural	structural	ADJ
fuelectenerg-5933	411	3	constraints	constraint	NOUN
fuelectenerg-5933	411	4	two	two	NUM
fuelectenerg-5933	411	5	parabolic	parabolic	ADJ
fuelectenerg-5933	411	6	relations	relation	NOUN
fuelectenerg-5933	411	7	are	be	AUX
fuelectenerg-5933	411	8	proposed	propose	VERB
fuelectenerg-5933	411	9	to	to	PART
fuelectenerg-5933	411	10	improve	improve	VERB
fuelectenerg-5933	411	11	the	the	DET
fuelectenerg-5933	411	12	optimizations	optimization	NOUN
fuelectenerg-5933	411	13	for	for	ADP
fuelectenerg-5933	411	14	helical	helical	ADJ
fuelectenerg-5933	411	15	antennas	antenna	NOUN
fuelectenerg-5933	411	16	,	,	PUNCT
fuelectenerg-5933	411	17	compared	compare	VERB
fuelectenerg-5933	411	18	with	with	ADP
fuelectenerg-5933	411	19	the	the	DET
fuelectenerg-5933	411	20	previously	previously	ADV
fuelectenerg-5933	411	21	published	publish	VERB
fuelectenerg-5933	411	22	optimizations	optimization	NOUN
fuelectenerg-5933	411	23	using	use	VERB
fuelectenerg-5933	411	24	linear	linear	ADJ
fuelectenerg-5933	411	25	constraints	constraint	NOUN
fuelectenerg-5933	411	26	.	.	PUNCT
fuelectenerg-5933	412	1	by	by	ADP
fuelectenerg-5933	412	2	analogy	analogy	NOUN
fuelectenerg-5933	412	3	using	use	VERB
fuelectenerg-5933	412	4	optimized	optimize	VERB
fuelectenerg-5933	412	5	yagi	yagi	ADJ
fuelectenerg-5933	412	6	-	-	PUNCT
fuelectenerg-5933	412	7	uda	uda	NOUN
fuelectenerg-5933	412	8	antenna	antenna	NOUN
fuelectenerg-5933	412	9	data	datum	NOUN
fuelectenerg-5933	412	10	,	,	PUNCT
fuelectenerg-5933	412	11	a	a	DET
fuelectenerg-5933	412	12	better	well	ADJ
fuelectenerg-5933	412	13	approximation	approximation	NOUN
fuelectenerg-5933	412	14	to	to	ADP
fuelectenerg-5933	412	15	the	the	DET
fuelectenerg-5933	412	16	true	true	ADJ
fuelectenerg-5933	412	17	optimized	optimize	VERB
fuelectenerg-5933	412	18	data	datum	NOUN
fuelectenerg-5933	412	19	may	may	AUX
fuelectenerg-5933	412	20	be	be	AUX
fuelectenerg-5933	412	21	seen	see	VERB
fuelectenerg-5933	412	22	by	by	ADP
fuelectenerg-5933	412	23	the	the	DET
fuelectenerg-5933	412	24	use	use	NOUN
fuelectenerg-5933	412	25	of	of	ADP
fuelectenerg-5933	412	26	parabolas	parabola	NOUN
fuelectenerg-5933	412	27	.	.	PUNCT
fuelectenerg-5933	413	1	these	these	PRON
fuelectenerg-5933	413	2	generally	generally	ADV
fuelectenerg-5933	413	3	also	also	ADV
fuelectenerg-5933	413	4	have	have	VERB
fuelectenerg-5933	413	5	an	an	DET
fuelectenerg-5933	413	6	advantage	advantage	NOUN
fuelectenerg-5933	413	7	in	in	ADP
fuelectenerg-5933	413	8	efficiency	efficiency	NOUN
fuelectenerg-5933	413	9	over	over	ADP
fuelectenerg-5933	413	10	bi	bi	ADJ
fuelectenerg-5933	413	11	-	-	ADJ
fuelectenerg-5933	413	12	linear	linear	ADJ
fuelectenerg-5933	413	13	forms	form	NOUN
fuelectenerg-5933	413	14	by	by	ADP
fuelectenerg-5933	413	15	adding	add	VERB
fuelectenerg-5933	413	16	fewer	few	ADJ
fuelectenerg-5933	413	17	variables	variable	NOUN
fuelectenerg-5933	413	18	to	to	PART
fuelectenerg-5933	413	19	be	be	AUX
fuelectenerg-5933	413	20	optimized	optimize	VERB
fuelectenerg-5933	413	21	.	.	PUNCT
fuelectenerg-5933	414	1	also	also	ADV
fuelectenerg-5933	414	2	with	with	ADP
fuelectenerg-5933	414	3	reference	reference	NOUN
fuelectenerg-5933	414	4	to	to	ADP
fuelectenerg-5933	414	5	the	the	DET
fuelectenerg-5933	414	6	optimized	optimize	VERB
fuelectenerg-5933	414	7	yagi	yagi	ADJ
fuelectenerg-5933	414	8	-	-	PUNCT
fuelectenerg-5933	414	9	uda	uda	NOUN
fuelectenerg-5933	414	10	data	datum	NOUN
fuelectenerg-5933	414	11	,	,	PUNCT
fuelectenerg-5933	414	12	power	power	NOUN
fuelectenerg-5933	414	13	-	-	PUNCT
fuelectenerg-5933	414	14	law	law	NOUN
fuelectenerg-5933	414	15	-	-	PUNCT
fuelectenerg-5933	414	16	plus	plus	CCONJ
fuelectenerg-5933	414	17	-	-	PUNCT
fuelectenerg-5933	414	18	linear	linear	NOUN
fuelectenerg-5933	414	19	and	and	CCONJ
fuelectenerg-5933	414	20	exponential	exponential	ADJ
fuelectenerg-5933	414	21	-	-	PUNCT
fuelectenerg-5933	414	22	plus	plus	CCONJ
fuelectenerg-5933	414	23	-	-	PUNCT
fuelectenerg-5933	414	24	linear	linear	NOUN
fuelectenerg-5933	414	25	curve	curve	NOUN
fuelectenerg-5933	414	26	-	-	PUNCT
fuelectenerg-5933	414	27	fits	fit	NOUN
fuelectenerg-5933	414	28	were	be	AUX
fuelectenerg-5933	414	29	found	find	VERB
fuelectenerg-5933	414	30	to	to	PART
fuelectenerg-5933	414	31	be	be	AUX
fuelectenerg-5933	414	32	even	even	ADV
fuelectenerg-5933	414	33	more	more	ADV
fuelectenerg-5933	414	34	accurate	accurate	ADJ
fuelectenerg-5933	414	35	.	.	PUNCT
fuelectenerg-5933	415	1	the	the	DET
fuelectenerg-5933	415	2	number	number	NOUN
fuelectenerg-5933	415	3	of	of	ADP
fuelectenerg-5933	415	4	variables	variable	NOUN
fuelectenerg-5933	415	5	to	to	PART
fuelectenerg-5933	415	6	be	be	AUX
fuelectenerg-5933	415	7	optimized	optimize	VERB
fuelectenerg-5933	415	8	is	be	AUX
fuelectenerg-5933	415	9	the	the	DET
fuelectenerg-5933	415	10	same	same	ADJ
fuelectenerg-5933	415	11	as	as	ADP
fuelectenerg-5933	415	12	the	the	DET
fuelectenerg-5933	415	13	parabolic	parabolic	ADJ
fuelectenerg-5933	415	14	form	form	NOUN
fuelectenerg-5933	415	15	if	if	SCONJ
fuelectenerg-5933	415	16	the	the	DET
fuelectenerg-5933	415	17	radius	radius	NOUN
fuelectenerg-5933	415	18	or	or	CCONJ
fuelectenerg-5933	415	19	pitch	pitch	NOUN
fuelectenerg-5933	415	20	curvature	curvature	NOUN
fuelectenerg-5933	415	21	coefficient	coefficient	NOUN
fuelectenerg-5933	415	22	is	be	AUX
fuelectenerg-5933	415	23	taken	take	VERB
fuelectenerg-5933	415	24	as	as	ADV
fuelectenerg-5933	415	25	equal	equal	ADJ
fuelectenerg-5933	415	26	to	to	ADP
fuelectenerg-5933	415	27	the	the	DET
fuelectenerg-5933	415	28	linear	linear	PROPN
fuelectenerg-5933	415	29	taper	taper	NOUN
fuelectenerg-5933	415	30	:	:	PUNCT
fuelectenerg-5933	415	31	k	k	X
fuelectenerg-5933	415	32	=	=	PUNCT
fuelectenerg-5933	415	33	a.	a.	NOUN
fuelectenerg-5933	415	34	a	a	DET
fuelectenerg-5933	415	35	further	further	ADJ
fuelectenerg-5933	415	36	reduction	reduction	NOUN
fuelectenerg-5933	415	37	of	of	ADP
fuelectenerg-5933	415	38	one	one	NUM
fuelectenerg-5933	415	39	variable	variable	NOUN
fuelectenerg-5933	415	40	may	may	AUX
fuelectenerg-5933	415	41	be	be	AUX
fuelectenerg-5933	415	42	possible	possible	ADJ
fuelectenerg-5933	415	43	with	with	ADP
fuelectenerg-5933	415	44	the	the	DET
fuelectenerg-5933	415	45	pitch	pitch	NOUN
fuelectenerg-5933	415	46	equations	equation	NOUN
fuelectenerg-5933	415	47	by	by	ADP
fuelectenerg-5933	415	48	taking	take	VERB
fuelectenerg-5933	415	49	kp	kp	PROPN
fuelectenerg-5933	415	50	=	=	PUNCT
fuelectenerg-5933	415	51	0	0	PROPN
fuelectenerg-5933	415	52	with	with	ADP
fuelectenerg-5933	415	53	ap	ap	PROPN
fuelectenerg-5933	415	54	≠	≠	PROPN
fuelectenerg-5933	415	55	0	0	NUM
fuelectenerg-5933	415	56	,	,	PUNCT
fuelectenerg-5933	415	57	while	while	SCONJ
fuelectenerg-5933	415	58	still	still	ADV
fuelectenerg-5933	415	59	retaining	retain	VERB
fuelectenerg-5933	415	60	good	good	ADJ
fuelectenerg-5933	415	61	accuracy	accuracy	NOUN
fuelectenerg-5933	415	62	.	.	PUNCT
fuelectenerg-5933	416	1	comparison	comparison	NOUN
fuelectenerg-5933	416	2	with	with	ADP
fuelectenerg-5933	416	3	data	datum	NOUN
fuelectenerg-5933	416	4	for	for	ADP
fuelectenerg-5933	416	5	a	a	DET
fuelectenerg-5933	416	6	variety	variety	NOUN
fuelectenerg-5933	416	7	of	of	ADP
fuelectenerg-5933	416	8	antenna	antenna	NOUN
fuelectenerg-5933	416	9	designs	design	NOUN
fuelectenerg-5933	416	10	and	and	CCONJ
fuelectenerg-5933	416	11	with	with	ADP
fuelectenerg-5933	416	12	an	an	DET
fuelectenerg-5933	416	13	alternative	alternative	ADJ
fuelectenerg-5933	416	14	pair	pair	NOUN
fuelectenerg-5933	416	15	of	of	ADP
fuelectenerg-5933	416	16	trigonometric	trigonometric	ADJ
fuelectenerg-5933	416	17	forms	form	NOUN
fuelectenerg-5933	416	18	confirms	confirm	VERB
fuelectenerg-5933	416	19	the	the	DET
fuelectenerg-5933	416	20	general	general	ADJ
fuelectenerg-5933	416	21	validity	validity	NOUN
fuelectenerg-5933	416	22	of	of	ADP
fuelectenerg-5933	416	23	these	these	DET
fuelectenerg-5933	416	24	mathematical	mathematical	ADJ
fuelectenerg-5933	416	25	relations	relation	NOUN
fuelectenerg-5933	416	26	in	in	ADP
fuelectenerg-5933	416	27	higher	high	ADJ
fuelectenerg-5933	416	28	-	-	PUNCT
fuelectenerg-5933	416	29	order	order	NOUN
fuelectenerg-5933	416	30	structural	structural	ADJ
fuelectenerg-5933	416	31	constraints	constraint	NOUN
fuelectenerg-5933	416	32	for	for	ADP
fuelectenerg-5933	416	33	improved	improved	ADJ
fuelectenerg-5933	416	34	optimization	optimization	NOUN
fuelectenerg-5933	416	35	of	of	ADP
fuelectenerg-5933	416	36	nonuniform	nonuniform	ADJ
fuelectenerg-5933	416	37	helical	helical	ADJ
fuelectenerg-5933	416	38	antennas	antenna	NOUN
fuelectenerg-5933	416	39	549	549	NUM
fuelectenerg-5933	416	40	specifying	specify	VERB
fuelectenerg-5933	416	41	structural	structural	ADJ
fuelectenerg-5933	416	42	dimensions	dimension	NOUN
fuelectenerg-5933	416	43	and	and	CCONJ
fuelectenerg-5933	416	44	positioning	positioning	NOUN
fuelectenerg-5933	416	45	of	of	ADP
fuelectenerg-5933	416	46	array	array	NOUN
fuelectenerg-5933	416	47	elements	element	NOUN
fuelectenerg-5933	416	48	and	and	CCONJ
fuelectenerg-5933	416	49	helical	helical	ADJ
fuelectenerg-5933	416	50	windings	winding	NOUN
fuelectenerg-5933	416	51	.	.	PUNCT
fuelectenerg-5933	417	1	current	current	ADJ
fuelectenerg-5933	417	2	helical	helical	ADJ
fuelectenerg-5933	417	3	antenna	antenna	NOUN
fuelectenerg-5933	417	4	designs	design	NOUN
fuelectenerg-5933	417	5	are	be	AUX
fuelectenerg-5933	417	6	often	often	ADV
fuelectenerg-5933	417	7	limited	limit	VERB
fuelectenerg-5933	417	8	to	to	ADP
fuelectenerg-5933	417	9	constant	constant	ADJ
fuelectenerg-5933	417	10	or	or	CCONJ
fuelectenerg-5933	417	11	linear	linear	ADJ
fuelectenerg-5933	417	12	structural	structural	ADJ
fuelectenerg-5933	417	13	constraints	constraint	NOUN
fuelectenerg-5933	417	14	for	for	ADP
fuelectenerg-5933	417	15	convenience	convenience	NOUN
fuelectenerg-5933	417	16	of	of	ADP
fuelectenerg-5933	417	17	manufacture	manufacture	NOUN
fuelectenerg-5933	417	18	,	,	PUNCT
fuelectenerg-5933	417	19	whereas	whereas	SCONJ
fuelectenerg-5933	417	20	higher	high	ADJ
fuelectenerg-5933	417	21	-	-	PUNCT
fuelectenerg-5933	417	22	order	order	NOUN
fuelectenerg-5933	417	23	constraints	constraint	NOUN
fuelectenerg-5933	417	24	enable	enable	VERB
fuelectenerg-5933	417	25	optimized	optimize	VERB
fuelectenerg-5933	417	26	designs	design	NOUN
fuelectenerg-5933	417	27	closer	close	ADV
fuelectenerg-5933	417	28	to	to	ADP
fuelectenerg-5933	417	29	what	what	PRON
fuelectenerg-5933	417	30	the	the	DET
fuelectenerg-5933	417	31	laws	law	NOUN
fuelectenerg-5933	417	32	of	of	ADP
fuelectenerg-5933	417	33	physics	physics	NOUN
fuelectenerg-5933	417	34	will	will	AUX
fuelectenerg-5933	417	35	allow	allow	VERB
fuelectenerg-5933	417	36	.	.	PUNCT
fuelectenerg-5933	418	1	this	this	DET
fuelectenerg-5933	418	2	last	last	ADJ
fuelectenerg-5933	418	3	point	point	NOUN
fuelectenerg-5933	418	4	was	be	AUX
fuelectenerg-5933	418	5	demonstrated	demonstrate	VERB
fuelectenerg-5933	418	6	in	in	ADP
fuelectenerg-5933	418	7	section	section	NOUN
fuelectenerg-5933	418	8	6	6	NUM
fuelectenerg-5933	418	9	,	,	PUNCT
fuelectenerg-5933	418	10	indicating	indicate	VERB
fuelectenerg-5933	418	11	improvement	improvement	NOUN
fuelectenerg-5933	418	12	is	be	AUX
fuelectenerg-5933	418	13	generally	generally	ADV
fuelectenerg-5933	418	14	possible	possible	ADJ
fuelectenerg-5933	418	15	by	by	ADP
fuelectenerg-5933	418	16	adding	add	VERB
fuelectenerg-5933	418	17	curvature	curvature	NOUN
fuelectenerg-5933	418	18	terms	term	NOUN
fuelectenerg-5933	418	19	to	to	ADP
fuelectenerg-5933	418	20	the	the	DET
fuelectenerg-5933	418	21	linear	linear	ADJ
fuelectenerg-5933	418	22	structural	structural	ADJ
fuelectenerg-5933	418	23	constraints	constraint	NOUN
fuelectenerg-5933	418	24	,	,	PUNCT
fuelectenerg-5933	418	25	especially	especially	ADV
fuelectenerg-5933	418	26	for	for	ADP
fuelectenerg-5933	418	27	helices	helix	NOUN
fuelectenerg-5933	418	28	where	where	SCONJ
fuelectenerg-5933	418	29	l	l	NOUN
fuelectenerg-5933	418	30	≤	≤	NOUN
fuelectenerg-5933	418	31	2.	2.	NUM
fuelectenerg-5933	418	32	all	all	DET
fuelectenerg-5933	418	33	the	the	DET
fuelectenerg-5933	418	34	foregoing	forego	VERB
fuelectenerg-5933	418	35	considerations	consideration	NOUN
fuelectenerg-5933	418	36	suggest	suggest	VERB
fuelectenerg-5933	418	37	these	these	DET
fuelectenerg-5933	418	38	higher	high	ADJ
fuelectenerg-5933	418	39	-	-	PUNCT
fuelectenerg-5933	418	40	order	order	NOUN
fuelectenerg-5933	418	41	equations	equation	NOUN
fuelectenerg-5933	418	42	are	be	AUX
fuelectenerg-5933	418	43	immediately	immediately	ADV
fuelectenerg-5933	418	44	capable	capable	ADJ
fuelectenerg-5933	418	45	of	of	ADP
fuelectenerg-5933	418	46	delivering	deliver	VERB
fuelectenerg-5933	418	47	improved	improved	ADJ
fuelectenerg-5933	418	48	results	result	NOUN
fuelectenerg-5933	418	49	when	when	SCONJ
fuelectenerg-5933	418	50	used	use	VERB
fuelectenerg-5933	418	51	as	as	ADP
fuelectenerg-5933	418	52	constraints	constraint	NOUN
fuelectenerg-5933	418	53	in	in	ADP
fuelectenerg-5933	418	54	optimization	optimization	NOUN
fuelectenerg-5933	418	55	algorithms	algorithm	NOUN
fuelectenerg-5933	418	56	.	.	PUNCT
fuelectenerg-5933	419	1	the	the	DET
fuelectenerg-5933	419	2	various	various	ADJ
fuelectenerg-5933	419	3	parabolic	parabolic	NOUN
fuelectenerg-5933	419	4	,	,	PUNCT
fuelectenerg-5933	419	5	power	power	NOUN
fuelectenerg-5933	419	6	-	-	PUNCT
fuelectenerg-5933	419	7	law	law	NOUN
fuelectenerg-5933	419	8	-	-	PUNCT
fuelectenerg-5933	419	9	plus	plus	CCONJ
fuelectenerg-5933	419	10	-	-	PUNCT
fuelectenerg-5933	419	11	linear	linear	NOUN
fuelectenerg-5933	419	12	and	and	CCONJ
fuelectenerg-5933	419	13	exponential	exponential	ADJ
fuelectenerg-5933	419	14	-	-	PUNCT
fuelectenerg-5933	419	15	plus	plus	CCONJ
fuelectenerg-5933	419	16	-	-	PUNCT
fuelectenerg-5933	419	17	linear	linear	NOUN
fuelectenerg-5933	419	18	equations	equation	NOUN
fuelectenerg-5933	419	19	presented	present	VERB
fuelectenerg-5933	419	20	above	above	ADV
fuelectenerg-5933	419	21	are	be	AUX
fuelectenerg-5933	419	22	summarized	summarize	VERB
fuelectenerg-5933	419	23	in	in	ADP
fuelectenerg-5933	419	24	table	table	NOUN
fuelectenerg-5933	419	25	3	3	NUM
fuelectenerg-5933	419	26	.	.	PUNCT
fuelectenerg-5933	420	1	there	there	PRON
fuelectenerg-5933	420	2	are	be	VERB
fuelectenerg-5933	420	3	36	36	NUM
fuelectenerg-5933	420	4	possible	possible	ADJ
fuelectenerg-5933	420	5	pairings	pairing	NOUN
fuelectenerg-5933	420	6	of	of	ADP
fuelectenerg-5933	420	7	the	the	DET
fuelectenerg-5933	420	8	6	6	NUM
fuelectenerg-5933	420	9	pitch	pitch	NOUN
fuelectenerg-5933	420	10	equations	equation	NOUN
fuelectenerg-5933	420	11	with	with	ADP
fuelectenerg-5933	420	12	the	the	DET
fuelectenerg-5933	420	13	6	6	NUM
fuelectenerg-5933	420	14	radius	radius	NOUN
fuelectenerg-5933	420	15	equations	equation	NOUN
fuelectenerg-5933	420	16	,	,	PUNCT
fuelectenerg-5933	420	17	not	not	PART
fuelectenerg-5933	420	18	counting	count	VERB
fuelectenerg-5933	420	19	simplified	simplified	ADJ
fuelectenerg-5933	420	20	versions	version	NOUN
fuelectenerg-5933	420	21	.	.	PUNCT
fuelectenerg-5933	421	1	the	the	DET
fuelectenerg-5933	421	2	accuracy	accuracy	NOUN
fuelectenerg-5933	421	3	generally	generally	ADV
fuelectenerg-5933	421	4	increases	increase	VERB
fuelectenerg-5933	421	5	as	as	ADP
fuelectenerg-5933	421	6	the	the	DET
fuelectenerg-5933	421	7	number	number	NOUN
fuelectenerg-5933	421	8	of	of	ADP
fuelectenerg-5933	421	9	variables	variable	NOUN
fuelectenerg-5933	421	10	to	to	PART
fuelectenerg-5933	421	11	be	be	AUX
fuelectenerg-5933	421	12	optimized	optimize	VERB
fuelectenerg-5933	421	13	increases	increase	NOUN
fuelectenerg-5933	421	14	.	.	PUNCT
fuelectenerg-5933	422	1	the	the	DET
fuelectenerg-5933	422	2	linear	linear	PROPN
fuelectenerg-5933	422	3	forms	form	NOUN
fuelectenerg-5933	422	4	(	(	PUNCT
fuelectenerg-5933	422	5	k	k	NOUN
fuelectenerg-5933	422	6	=	=	SYM
fuelectenerg-5933	422	7	0	0	NUM
fuelectenerg-5933	422	8	)	)	PUNCT
fuelectenerg-5933	422	9	have	have	VERB
fuelectenerg-5933	422	10	2	2	NUM
fuelectenerg-5933	422	11	variables	variable	NOUN
fuelectenerg-5933	422	12	each	each	PRON
fuelectenerg-5933	422	13	.	.	PUNCT
fuelectenerg-5933	423	1	table	table	NOUN
fuelectenerg-5933	423	2	3	3	NUM
fuelectenerg-5933	423	3	summary	summary	NOUN
fuelectenerg-5933	423	4	of	of	ADP
fuelectenerg-5933	423	5	higher	high	ADJ
fuelectenerg-5933	423	6	-	-	PUNCT
fuelectenerg-5933	423	7	order	order	NOUN
fuelectenerg-5933	423	8	structural	structural	ADJ
fuelectenerg-5933	423	9	constraints	constraint	NOUN
fuelectenerg-5933	423	10	for	for	ADP
fuelectenerg-5933	423	11	the	the	DET
fuelectenerg-5933	423	12	helix	helix	ADJ
fuelectenerg-5933	423	13	radius	radius	NOUN
fuelectenerg-5933	423	14	and	and	CCONJ
fuelectenerg-5933	423	15	pitch	pitch	NOUN
fuelectenerg-5933	423	16	.	.	PUNCT
fuelectenerg-5933	424	1	radius	radius	NOUN
fuelectenerg-5933	424	2	equations	equation	NOUN
fuelectenerg-5933	424	3	pitch	pitch	NOUN
fuelectenerg-5933	424	4	equations	equation	NOUN
fuelectenerg-5933	424	5	forms	form	NOUN
fuelectenerg-5933	424	6	with	with	ADP
fuelectenerg-5933	424	7	3	3	NUM
fuelectenerg-5933	424	8	variables	variable	NOUN
fuelectenerg-5933	424	9	forms	form	NOUN
fuelectenerg-5933	424	10	with	with	ADP
fuelectenerg-5933	424	11	3	3	NUM
fuelectenerg-5933	424	12	variables	variable	NOUN
fuelectenerg-5933	424	13	r	r	NOUN
fuelectenerg-5933	424	14	=	=	SYM
fuelectenerg-5933	424	15	r(z	r(z	NOUN
fuelectenerg-5933	424	16	)	)	PUNCT
fuelectenerg-5933	424	17	parabolic	parabolic	NOUN
fuelectenerg-5933	424	18	,	,	PUNCT
fuelectenerg-5933	424	19	eq	eq	NOUN
fuelectenerg-5933	424	20	.	.	PUNCT
fuelectenerg-5933	425	1	(	(	PUNCT
fuelectenerg-5933	425	2	1	1	X
fuelectenerg-5933	425	3	)	)	PUNCT
fuelectenerg-5933	425	4	p	p	X
fuelectenerg-5933	425	5	=	=	ADJ
fuelectenerg-5933	425	6	p(z	p(z	NOUN
fuelectenerg-5933	425	7	)	)	PUNCT
fuelectenerg-5933	425	8	parabolic	parabolic	NOUN
fuelectenerg-5933	425	9	,	,	PUNCT
fuelectenerg-5933	425	10	eq	eq	NOUN
fuelectenerg-5933	425	11	.	.	PUNCT
fuelectenerg-5933	426	1	(	(	PUNCT
fuelectenerg-5933	426	2	2	2	NUM
fuelectenerg-5933	426	3	)	)	PUNCT
fuelectenerg-5933	426	4	n	n	CCONJ
fuelectenerg-5933	426	5	=	=	NOUN
fuelectenerg-5933	426	6	n(z	n(z	NOUN
fuelectenerg-5933	426	7	)	)	PUNCT
fuelectenerg-5933	426	8	eq	eq	NOUN
fuelectenerg-5933	426	9	.	.	PUNCT
fuelectenerg-5933	427	1	(	(	PUNCT
fuelectenerg-5933	427	2	3	3	NUM
fuelectenerg-5933	427	3	)	)	PUNCT
fuelectenerg-5933	427	4	,	,	PUNCT
fuelectenerg-5933	428	1	z	z	PROPN
fuelectenerg-5933	428	2	=	=	NOUN
fuelectenerg-5933	428	3	z(n	z(n	NOUN
fuelectenerg-5933	428	4	)	)	PUNCT
fuelectenerg-5933	428	5	eq	eq	NOUN
fuelectenerg-5933	428	6	.	.	PUNCT
fuelectenerg-5933	429	1	(	(	PUNCT
fuelectenerg-5933	429	2	6	6	NUM
fuelectenerg-5933	429	3	)	)	PUNCT
fuelectenerg-5933	429	4	r	r	NOUN
fuelectenerg-5933	429	5	=	=	SYM
fuelectenerg-5933	429	6	r(n	r(n	ADJ
fuelectenerg-5933	429	7	)	)	PUNCT
fuelectenerg-5933	429	8	parabolic	parabolic	NOUN
fuelectenerg-5933	429	9	,	,	PUNCT
fuelectenerg-5933	429	10	eq	eq	NOUN
fuelectenerg-5933	429	11	.	.	PUNCT
fuelectenerg-5933	430	1	(	(	PUNCT
fuelectenerg-5933	430	2	17	17	NUM
fuelectenerg-5933	430	3	)	)	PUNCT
fuelectenerg-5933	430	4	,	,	PUNCT
fuelectenerg-5933	430	5	c=2	c=2	PROPN
fuelectenerg-5933	430	6	p	p	PROPN
fuelectenerg-5933	430	7	=	=	PROPN
fuelectenerg-5933	430	8	p(n	p(n	PROPN
fuelectenerg-5933	430	9	)	)	PUNCT
fuelectenerg-5933	430	10	parabolic	parabolic	NOUN
fuelectenerg-5933	430	11	,	,	PUNCT
fuelectenerg-5933	430	12	eq	eq	NOUN
fuelectenerg-5933	430	13	.	.	PUNCT
fuelectenerg-5933	431	1	(	(	PUNCT
fuelectenerg-5933	431	2	18	18	NUM
fuelectenerg-5933	431	3	)	)	PUNCT
fuelectenerg-5933	431	4	,	,	PUNCT
fuelectenerg-5933	431	5	d=2	d=2	X
fuelectenerg-5933	431	6	n	n	CCONJ
fuelectenerg-5933	431	7	=	=	NOUN
fuelectenerg-5933	431	8	n(z	n(z	NOUN
fuelectenerg-5933	431	9	)	)	PUNCT
fuelectenerg-5933	431	10	and	and	CCONJ
fuelectenerg-5933	431	11	z	z	NOUN
fuelectenerg-5933	431	12	=	=	NOUN
fuelectenerg-5933	431	13	z(n	z(n	NOUN
fuelectenerg-5933	431	14	)	)	PUNCT
fuelectenerg-5933	431	15	via	via	ADP
fuelectenerg-5933	431	16	eq	eq	NOUN
fuelectenerg-5933	431	17	.	.	PUNCT
fuelectenerg-5933	432	1	(	(	PUNCT
fuelectenerg-5933	432	2	19	19	NUM
fuelectenerg-5933	432	3	)	)	PUNCT
fuelectenerg-5933	432	4	,	,	PUNCT
fuelectenerg-5933	432	5	d=2	d=2	X
fuelectenerg-5933	432	6	forms	form	NOUN
fuelectenerg-5933	432	7	with	with	ADP
fuelectenerg-5933	432	8	4	4	NUM
fuelectenerg-5933	432	9	variables	variable	NOUN
fuelectenerg-5933	432	10	forms	form	NOUN
fuelectenerg-5933	432	11	with	with	ADP
fuelectenerg-5933	432	12	4	4	NUM
fuelectenerg-5933	432	13	variables	variable	NOUN
fuelectenerg-5933	432	14	r	r	NOUN
fuelectenerg-5933	432	15	=	=	SYM
fuelectenerg-5933	432	16	r(z	r(z	NOUN
fuelectenerg-5933	432	17	)	)	PUNCT
fuelectenerg-5933	432	18	power	power	NOUN
fuelectenerg-5933	432	19	-	-	PUNCT
fuelectenerg-5933	432	20	law	law	NOUN
fuelectenerg-5933	432	21	,	,	PUNCT
fuelectenerg-5933	432	22	eq	eq	NOUN
fuelectenerg-5933	432	23	.	.	PUNCT
fuelectenerg-5933	433	1	(	(	PUNCT
fuelectenerg-5933	433	2	15	15	NUM
fuelectenerg-5933	433	3	)	)	PUNCT
fuelectenerg-5933	433	4	p	p	X
fuelectenerg-5933	433	5	=	=	ADJ
fuelectenerg-5933	433	6	p(z	p(z	NOUN
fuelectenerg-5933	433	7	)	)	PUNCT
fuelectenerg-5933	433	8	power	power	NOUN
fuelectenerg-5933	433	9	-	-	PUNCT
fuelectenerg-5933	433	10	law	law	NOUN
fuelectenerg-5933	433	11	,	,	PUNCT
fuelectenerg-5933	433	12	eq	eq	NOUN
fuelectenerg-5933	433	13	.	.	PUNCT
fuelectenerg-5933	434	1	(	(	PUNCT
fuelectenerg-5933	434	2	16	16	NUM
fuelectenerg-5933	434	3	)	)	PUNCT
fuelectenerg-5933	434	4	n	n	CCONJ
fuelectenerg-5933	434	5	=	=	NOUN
fuelectenerg-5933	434	6	n(z	n(z	NOUN
fuelectenerg-5933	434	7	)	)	PUNCT
fuelectenerg-5933	434	8	and	and	CCONJ
fuelectenerg-5933	434	9	z	z	PROPN
fuelectenerg-5933	434	10	=	=	NOUN
fuelectenerg-5933	434	11	z(n	z(n	NOUN
fuelectenerg-5933	434	12	)	)	PUNCT
fuelectenerg-5933	434	13	numerically	numerically	ADV
fuelectenerg-5933	434	14	r	r	NOUN
fuelectenerg-5933	434	15	=	=	SYM
fuelectenerg-5933	434	16	r(z	r(z	NOUN
fuelectenerg-5933	434	17	)	)	PUNCT
fuelectenerg-5933	434	18	exponential	exponential	NOUN
fuelectenerg-5933	434	19	,	,	PUNCT
fuelectenerg-5933	434	20	eq	eq	NOUN
fuelectenerg-5933	434	21	.	.	PUNCT
fuelectenerg-5933	435	1	(	(	PUNCT
fuelectenerg-5933	435	2	23	23	NUM
fuelectenerg-5933	435	3	)	)	PUNCT
fuelectenerg-5933	435	4	p	p	NOUN
fuelectenerg-5933	435	5	=	=	PUNCT
fuelectenerg-5933	435	6	p(z	p(z	NOUN
fuelectenerg-5933	435	7	)	)	PUNCT
fuelectenerg-5933	435	8	exponential	exponential	NOUN
fuelectenerg-5933	435	9	,	,	PUNCT
fuelectenerg-5933	435	10	eq	eq	NOUN
fuelectenerg-5933	435	11	.	.	PROPN
fuelectenerg-5933	436	1	(	(	PUNCT
fuelectenerg-5933	436	2	24	24	NUM
fuelectenerg-5933	436	3	)	)	PUNCT
fuelectenerg-5933	436	4	n	n	CCONJ
fuelectenerg-5933	436	5	=	=	NOUN
fuelectenerg-5933	436	6	n(z	n(z	NOUN
fuelectenerg-5933	436	7	)	)	PUNCT
fuelectenerg-5933	436	8	and	and	CCONJ
fuelectenerg-5933	436	9	z	z	PROPN
fuelectenerg-5933	436	10	=	=	NOUN
fuelectenerg-5933	436	11	z(n	z(n	NOUN
fuelectenerg-5933	436	12	)	)	PUNCT
fuelectenerg-5933	436	13	numerically	numerically	ADV
fuelectenerg-5933	436	14	r	r	NOUN
fuelectenerg-5933	436	15	=	=	SYM
fuelectenerg-5933	436	16	r(n	r(n	ADJ
fuelectenerg-5933	436	17	)	)	PUNCT
fuelectenerg-5933	436	18	power	power	NOUN
fuelectenerg-5933	436	19	-	-	PUNCT
fuelectenerg-5933	436	20	law	law	NOUN
fuelectenerg-5933	436	21	,	,	PUNCT
fuelectenerg-5933	436	22	eq	eq	NOUN
fuelectenerg-5933	436	23	.	.	PUNCT
fuelectenerg-5933	437	1	(	(	PUNCT
fuelectenerg-5933	437	2	17	17	NUM
fuelectenerg-5933	437	3	)	)	PUNCT
fuelectenerg-5933	437	4	p	p	X
fuelectenerg-5933	437	5	=	=	NOUN
fuelectenerg-5933	437	6	p(n	p(n	NOUN
fuelectenerg-5933	437	7	)	)	PUNCT
fuelectenerg-5933	437	8	power	power	NOUN
fuelectenerg-5933	437	9	-	-	PUNCT
fuelectenerg-5933	437	10	law	law	NOUN
fuelectenerg-5933	437	11	,	,	PUNCT
fuelectenerg-5933	437	12	eq	eq	NOUN
fuelectenerg-5933	437	13	.	.	PUNCT
fuelectenerg-5933	438	1	(	(	PUNCT
fuelectenerg-5933	438	2	18	18	NUM
fuelectenerg-5933	438	3	)	)	PUNCT
fuelectenerg-5933	438	4	n	n	CCONJ
fuelectenerg-5933	438	5	=	=	NOUN
fuelectenerg-5933	438	6	n(z	n(z	NOUN
fuelectenerg-5933	438	7	)	)	PUNCT
fuelectenerg-5933	439	1	and	and	CCONJ
fuelectenerg-5933	439	2	z	z	NOUN
fuelectenerg-5933	439	3	=	=	NOUN
fuelectenerg-5933	439	4	z(n	z(n	NOUN
fuelectenerg-5933	439	5	)	)	PUNCT
fuelectenerg-5933	439	6	via	via	ADP
fuelectenerg-5933	439	7	eq	eq	NOUN
fuelectenerg-5933	439	8	.	.	PUNCT
fuelectenerg-5933	440	1	(	(	PUNCT
fuelectenerg-5933	440	2	19	19	NUM
fuelectenerg-5933	440	3	)	)	PUNCT
fuelectenerg-5933	440	4	r	r	NOUN
fuelectenerg-5933	440	5	=	=	SYM
fuelectenerg-5933	440	6	r(n	r(n	ADJ
fuelectenerg-5933	440	7	)	)	PUNCT
fuelectenerg-5933	440	8	exponential	exponential	NOUN
fuelectenerg-5933	440	9	,	,	PUNCT
fuelectenerg-5933	440	10	eq	eq	ADJ
fuelectenerg-5933	440	11	.	.	PUNCT
fuelectenerg-5933	441	1	(	(	PUNCT
fuelectenerg-5933	441	2	25	25	NUM
fuelectenerg-5933	441	3	)	)	PUNCT
fuelectenerg-5933	441	4	p	p	X
fuelectenerg-5933	441	5	=	=	VERB
fuelectenerg-5933	441	6	p(n	p(n	NOUN
fuelectenerg-5933	441	7	)	)	PUNCT
fuelectenerg-5933	441	8	exponential	exponential	NOUN
fuelectenerg-5933	441	9	,	,	PUNCT
fuelectenerg-5933	441	10	eq	eq	NOUN
fuelectenerg-5933	441	11	.	.	PUNCT
fuelectenerg-5933	442	1	(	(	PUNCT
fuelectenerg-5933	442	2	26	26	NUM
fuelectenerg-5933	442	3	)	)	PUNCT
fuelectenerg-5933	442	4	n	n	CCONJ
fuelectenerg-5933	442	5	=	=	NOUN
fuelectenerg-5933	442	6	n(z	n(z	NOUN
fuelectenerg-5933	442	7	)	)	PUNCT
fuelectenerg-5933	442	8	and	and	CCONJ
fuelectenerg-5933	442	9	z	z	NOUN
fuelectenerg-5933	442	10	=	=	NOUN
fuelectenerg-5933	442	11	z(n	z(n	NOUN
fuelectenerg-5933	442	12	)	)	PUNCT
fuelectenerg-5933	442	13	via	via	ADP
fuelectenerg-5933	442	14	eq	eq	NOUN
fuelectenerg-5933	442	15	.	.	PUNCT
fuelectenerg-5933	443	1	(	(	PUNCT
fuelectenerg-5933	443	2	27	27	NUM
fuelectenerg-5933	443	3	)	)	PUNCT
fuelectenerg-5933	443	4	7.2	7.2	NUM
fuelectenerg-5933	443	5	.	.	PUNCT
fuelectenerg-5933	444	1	further	further	ADJ
fuelectenerg-5933	444	2	refinements	refinement	NOUN
fuelectenerg-5933	444	3	the	the	DET
fuelectenerg-5933	444	4	application	application	NOUN
fuelectenerg-5933	444	5	of	of	ADP
fuelectenerg-5933	444	6	the	the	DET
fuelectenerg-5933	444	7	higher	high	ADJ
fuelectenerg-5933	444	8	-	-	PUNCT
fuelectenerg-5933	444	9	order	order	NOUN
fuelectenerg-5933	444	10	equations	equation	NOUN
fuelectenerg-5933	444	11	to	to	PART
fuelectenerg-5933	444	12	optimize	optimize	VERB
fuelectenerg-5933	444	13	the	the	DET
fuelectenerg-5933	444	14	conductor	conductor	NOUN
fuelectenerg-5933	444	15	dimensions	dimension	NOUN
fuelectenerg-5933	444	16	is	be	AUX
fuelectenerg-5933	444	17	left	leave	VERB
fuelectenerg-5933	444	18	as	as	ADP
fuelectenerg-5933	444	19	a	a	DET
fuelectenerg-5933	444	20	future	future	ADJ
fuelectenerg-5933	444	21	exercise	exercise	NOUN
fuelectenerg-5933	444	22	.	.	PUNCT
fuelectenerg-5933	445	1	published	publish	VERB
fuelectenerg-5933	445	2	studies	study	NOUN
fuelectenerg-5933	445	3	commonly	commonly	ADV
fuelectenerg-5933	445	4	use	use	VERB
fuelectenerg-5933	445	5	uniform	uniform	ADJ
fuelectenerg-5933	445	6	-	-	PUNCT
fuelectenerg-5933	445	7	thickness	thickness	NOUN
fuelectenerg-5933	445	8	wires	wire	NOUN
fuelectenerg-5933	445	9	with	with	ADP
fuelectenerg-5933	445	10	circular	circular	ADJ
fuelectenerg-5933	445	11	cross	cross	NOUN
fuelectenerg-5933	445	12	-	-	NOUN
fuelectenerg-5933	445	13	section	section	NOUN
fuelectenerg-5933	445	14	,	,	PUNCT
fuelectenerg-5933	445	15	although	although	SCONJ
fuelectenerg-5933	445	16	conductive	conductive	ADJ
fuelectenerg-5933	445	17	strips	strip	NOUN
fuelectenerg-5933	445	18	oriented	orient	VERB
fuelectenerg-5933	445	19	either	either	CCONJ
fuelectenerg-5933	445	20	axially	axially	ADV
fuelectenerg-5933	445	21	(	(	PUNCT
fuelectenerg-5933	445	22	tapes	tape	NOUN
fuelectenerg-5933	445	23	[	[	X
fuelectenerg-5933	445	24	20	20	NUM
fuelectenerg-5933	445	25	]	]	SYM
fuelectenerg-5933	445	26	)	)	PUNCT
fuelectenerg-5933	445	27	or	or	CCONJ
fuelectenerg-5933	445	28	radially	radially	ADV
fuelectenerg-5933	445	29	(	(	PUNCT
fuelectenerg-5933	445	30	“	"	PUNCT
fuelectenerg-5933	445	31	slinky	slinky	ADJ
fuelectenerg-5933	445	32	”	"	PUNCT
fuelectenerg-5933	445	33	coils	coil	NOUN
fuelectenerg-5933	445	34	[	[	X
fuelectenerg-5933	445	35	17	17	NUM
fuelectenerg-5933	445	36	]	]	PUNCT
fuelectenerg-5933	445	37	)	)	PUNCT
fuelectenerg-5933	445	38	are	be	AUX
fuelectenerg-5933	445	39	reported	report	VERB
fuelectenerg-5933	445	40	.	.	PUNCT
fuelectenerg-5933	446	1	the	the	DET
fuelectenerg-5933	446	2	variation	variation	NOUN
fuelectenerg-5933	446	3	of	of	ADP
fuelectenerg-5933	446	4	wire	wire	NOUN
fuelectenerg-5933	446	5	cross	cross	ADJ
fuelectenerg-5933	446	6	-	-	ADJ
fuelectenerg-5933	446	7	sectional	sectional	ADJ
fuelectenerg-5933	446	8	radius	radius	NOUN
fuelectenerg-5933	446	9	or	or	CCONJ
fuelectenerg-5933	446	10	strip	strip	NOUN
fuelectenerg-5933	446	11	width	width	NOUN
fuelectenerg-5933	446	12	would	would	AUX
fuelectenerg-5933	446	13	then	then	ADV
fuelectenerg-5933	446	14	be	be	AUX
fuelectenerg-5933	446	15	included	include	VERB
fuelectenerg-5933	446	16	in	in	ADP
fuelectenerg-5933	446	17	the	the	DET
fuelectenerg-5933	446	18	overall	overall	ADJ
fuelectenerg-5933	446	19	optimization	optimization	NOUN
fuelectenerg-5933	446	20	process	process	NOUN
fuelectenerg-5933	446	21	.	.	PUNCT
fuelectenerg-5933	447	1	optimum	optimum	ADJ
fuelectenerg-5933	447	2	selection	selection	NOUN
fuelectenerg-5933	447	3	of	of	ADP
fuelectenerg-5933	447	4	a	a	DET
fuelectenerg-5933	447	5	uniform	uniform	ADJ
fuelectenerg-5933	447	6	wire	wire	NOUN
fuelectenerg-5933	447	7	thickness	thickness	NOUN
fuelectenerg-5933	447	8	has	have	AUX
fuelectenerg-5933	447	9	already	already	ADV
fuelectenerg-5933	447	10	been	be	AUX
fuelectenerg-5933	447	11	considered	consider	VERB
fuelectenerg-5933	447	12	elsewhere	elsewhere	ADV
fuelectenerg-5933	447	13	[	[	X
fuelectenerg-5933	447	14	8,10	8,10	X
fuelectenerg-5933	447	15	]	]	PUNCT
fuelectenerg-5933	447	16	.	.	PUNCT
fuelectenerg-5933	448	1	optimization	optimization	NOUN
fuelectenerg-5933	448	2	of	of	ADP
fuelectenerg-5933	448	3	the	the	DET
fuelectenerg-5933	448	4	archimedean	archimedean	ADJ
fuelectenerg-5933	448	5	spiral	spiral	ADJ
fuelectenerg-5933	448	6	antenna	antenna	NOUN
fuelectenerg-5933	448	7	[	[	X
fuelectenerg-5933	448	8	18	18	NUM
fuelectenerg-5933	448	9	]	]	PUNCT
fuelectenerg-5933	448	10	included	include	VERB
fuelectenerg-5933	448	11	a	a	DET
fuelectenerg-5933	448	12	linear	linear	ADJ
fuelectenerg-5933	448	13	variation	variation	NOUN
fuelectenerg-5933	448	14	in	in	ADP
fuelectenerg-5933	448	15	the	the	DET
fuelectenerg-5933	448	16	width	width	NOUN
fuelectenerg-5933	448	17	of	of	ADP
fuelectenerg-5933	448	18	the	the	DET
fuelectenerg-5933	448	19	flat	flat	ADJ
fuelectenerg-5933	448	20	spiral	spiral	ADJ
fuelectenerg-5933	448	21	conductors	conductor	NOUN
fuelectenerg-5933	448	22	.	.	PUNCT
fuelectenerg-5933	449	1	adding	add	VERB
fuelectenerg-5933	449	2	extra	extra	ADJ
fuelectenerg-5933	449	3	dimensions	dimension	NOUN
fuelectenerg-5933	449	4	,	,	PUNCT
fuelectenerg-5933	449	5	a	a	DET
fuelectenerg-5933	449	6	finely	finely	ADV
fuelectenerg-5933	449	7	coiled	coil	VERB
fuelectenerg-5933	449	8	form	form	NOUN
fuelectenerg-5933	449	9	has	have	AUX
fuelectenerg-5933	449	10	been	be	AUX
fuelectenerg-5933	449	11	superimposed	superimpose	VERB
fuelectenerg-5933	449	12	onto	onto	ADP
fuelectenerg-5933	449	13	the	the	DET
fuelectenerg-5933	449	14	main	main	ADJ
fuelectenerg-5933	449	15	helix	helix	NOUN
fuelectenerg-5933	449	16	winding	winding	NOUN
fuelectenerg-5933	449	17	[	[	X
fuelectenerg-5933	449	18	19	19	NUM
fuelectenerg-5933	449	19	]	]	PUNCT
fuelectenerg-5933	449	20	using	use	VERB
fuelectenerg-5933	449	21	the	the	DET
fuelectenerg-5933	449	22	same	same	ADJ
fuelectenerg-5933	449	23	the	the	DET
fuelectenerg-5933	449	24	two	two	NUM
fuelectenerg-5933	449	25	trigonometric	trigonometric	ADJ
fuelectenerg-5933	449	26	forms	form	NOUN
fuelectenerg-5933	449	27	as	as	ADP
fuelectenerg-5933	449	28	for	for	ADP
fuelectenerg-5933	449	29	the	the	DET
fuelectenerg-5933	449	30	main	main	ADJ
fuelectenerg-5933	449	31	helix	helix	NOUN
fuelectenerg-5933	449	32	.	.	PUNCT
fuelectenerg-5933	450	1	the	the	DET
fuelectenerg-5933	450	2	higher	high	ADJ
fuelectenerg-5933	450	3	-	-	PUNCT
fuelectenerg-5933	450	4	order	order	NOUN
fuelectenerg-5933	450	5	constraints	constraint	NOUN
fuelectenerg-5933	450	6	presented	present	VERB
fuelectenerg-5933	450	7	here	here	ADV
fuelectenerg-5933	450	8	could	could	AUX
fuelectenerg-5933	450	9	be	be	AUX
fuelectenerg-5933	450	10	used	use	VERB
fuelectenerg-5933	450	11	as	as	ADP
fuelectenerg-5933	450	12	alternative	alternative	ADJ
fuelectenerg-5933	450	13	forms	form	NOUN
fuelectenerg-5933	450	14	to	to	PART
fuelectenerg-5933	450	15	optimize	optimize	VERB
fuelectenerg-5933	450	16	both	both	CCONJ
fuelectenerg-5933	450	17	the	the	DET
fuelectenerg-5933	450	18	fine	fine	ADJ
fuelectenerg-5933	450	19	structure	structure	NOUN
fuelectenerg-5933	450	20	and	and	CCONJ
fuelectenerg-5933	450	21	the	the	DET
fuelectenerg-5933	450	22	main	main	ADJ
fuelectenerg-5933	450	23	structure	structure	NOUN
fuelectenerg-5933	450	24	.	.	PUNCT
fuelectenerg-5933	451	1	550	550	NUM
fuelectenerg-5933	451	2	g.	g.	PROPN
fuelectenerg-5933	451	3	e.	e.	PROPN
fuelectenerg-5933	451	4	innes	innes	PROPN
fuelectenerg-5933	451	5	an	an	DET
fuelectenerg-5933	451	6	important	important	ADJ
fuelectenerg-5933	451	7	point	point	NOUN
fuelectenerg-5933	451	8	may	may	AUX
fuelectenerg-5933	451	9	be	be	AUX
fuelectenerg-5933	451	10	made	make	VERB
fuelectenerg-5933	451	11	regarding	regard	VERB
fuelectenerg-5933	451	12	the	the	DET
fuelectenerg-5933	451	13	“	"	PUNCT
fuelectenerg-5933	451	14	out	out	ADP
fuelectenerg-5933	451	15	-	-	PUNCT
fuelectenerg-5933	451	16	of	of	ADP
fuelectenerg-5933	451	17	-	-	PUNCT
fuelectenerg-5933	451	18	place	place	NOUN
fuelectenerg-5933	451	19	”	"	PUNCT
fuelectenerg-5933	451	20	yagi	yagi	ADJ
fuelectenerg-5933	451	21	-	-	PUNCT
fuelectenerg-5933	451	22	uda	uda	NOUN
fuelectenerg-5933	451	23	elements	element	NOUN
fuelectenerg-5933	451	24	#	#	SYM
fuelectenerg-5933	451	25	0	0	NUM
fuelectenerg-5933	451	26	and	and	CCONJ
fuelectenerg-5933	451	27	#	#	SYM
fuelectenerg-5933	451	28	1	1	NUM
fuelectenerg-5933	451	29	.	.	PUNCT
fuelectenerg-5933	452	1	since	since	SCONJ
fuelectenerg-5933	452	2	these	these	DET
fuelectenerg-5933	452	3	exceptions	exception	NOUN
fuelectenerg-5933	452	4	occur	occur	VERB
fuelectenerg-5933	452	5	for	for	ADP
fuelectenerg-5933	452	6	a	a	DET
fuelectenerg-5933	452	7	fully	fully	ADV
fuelectenerg-5933	452	8	optimized	optimize	VERB
fuelectenerg-5933	452	9	antenna	antenna	NOUN
fuelectenerg-5933	452	10	,	,	PUNCT
fuelectenerg-5933	452	11	the	the	DET
fuelectenerg-5933	452	12	analogy	analogy	NOUN
fuelectenerg-5933	452	13	with	with	ADP
fuelectenerg-5933	452	14	helical	helical	ADJ
fuelectenerg-5933	452	15	antenna	antenna	NOUN
fuelectenerg-5933	452	16	optimization	optimization	NOUN
fuelectenerg-5933	452	17	suggests	suggest	VERB
fuelectenerg-5933	452	18	the	the	DET
fuelectenerg-5933	452	19	first	first	ADJ
fuelectenerg-5933	452	20	turn	turn	NOUN
fuelectenerg-5933	452	21	n	n	NOUN
fuelectenerg-5933	452	22	=	=	SYM
fuelectenerg-5933	452	23	1	1	NUM
fuelectenerg-5933	452	24	should	should	AUX
fuelectenerg-5933	452	25	have	have	VERB
fuelectenerg-5933	452	26	its	its	PRON
fuelectenerg-5933	452	27	own	own	ADJ
fuelectenerg-5933	452	28	variables	variable	NOUN
fuelectenerg-5933	452	29	r	r	NOUN
fuelectenerg-5933	452	30	and	and	CCONJ
fuelectenerg-5933	452	31	p	p	NOUN
fuelectenerg-5933	452	32	to	to	PART
fuelectenerg-5933	452	33	be	be	AUX
fuelectenerg-5933	452	34	optimized	optimize	VERB
fuelectenerg-5933	452	35	.	.	PUNCT
fuelectenerg-5933	453	1	this	this	PRON
fuelectenerg-5933	453	2	might	might	AUX
fuelectenerg-5933	453	3	also	also	ADV
fuelectenerg-5933	453	4	be	be	AUX
fuelectenerg-5933	453	5	the	the	DET
fuelectenerg-5933	453	6	case	case	NOUN
fuelectenerg-5933	453	7	if	if	SCONJ
fuelectenerg-5933	453	8	an	an	DET
fuelectenerg-5933	453	9	impedance	impedance	NOUN
fuelectenerg-5933	453	10	-	-	PUNCT
fuelectenerg-5933	453	11	matching	matching	NOUN
fuelectenerg-5933	453	12	transformer	transformer	NOUN
fuelectenerg-5933	453	13	[	[	X
fuelectenerg-5933	453	14	21	21	NUM
fuelectenerg-5933	453	15	]	]	PUNCT
fuelectenerg-5933	453	16	is	be	AUX
fuelectenerg-5933	453	17	included	include	VERB
fuelectenerg-5933	453	18	in	in	ADP
fuelectenerg-5933	453	19	the	the	DET
fuelectenerg-5933	453	20	optimization	optimization	NOUN
fuelectenerg-5933	453	21	.	.	PUNCT
fuelectenerg-5933	454	1	the	the	DET
fuelectenerg-5933	454	2	radius	radius	NOUN
fuelectenerg-5933	454	3	equations	equation	NOUN
fuelectenerg-5933	454	4	presented	present	VERB
fuelectenerg-5933	454	5	here	here	ADV
fuelectenerg-5933	454	6	assume	assume	VERB
fuelectenerg-5933	454	7	a	a	DET
fuelectenerg-5933	454	8	relatively	relatively	ADV
fuelectenerg-5933	454	9	simple	simple	ADJ
fuelectenerg-5933	454	10	variation	variation	NOUN
fuelectenerg-5933	454	11	of	of	ADP
fuelectenerg-5933	454	12	the	the	DET
fuelectenerg-5933	454	13	helix	helix	ADJ
fuelectenerg-5933	454	14	profile	profile	NOUN
fuelectenerg-5933	454	15	,	,	PUNCT
fuelectenerg-5933	454	16	although	although	SCONJ
fuelectenerg-5933	454	17	a	a	DET
fuelectenerg-5933	454	18	more	more	ADV
fuelectenerg-5933	454	19	complicated	complicated	ADJ
fuelectenerg-5933	454	20	tapered	tapered	ADJ
fuelectenerg-5933	454	21	-	-	PUNCT
fuelectenerg-5933	454	22	helix	helix	NOUN
fuelectenerg-5933	454	23	-	-	PUNCT
fuelectenerg-5933	454	24	on	on	ADP
fuelectenerg-5933	454	25	-	-	PUNCT
fuelectenerg-5933	454	26	tapered	tapered	ADJ
fuelectenerg-5933	454	27	-	-	PUNCT
fuelectenerg-5933	454	28	helix	helix	NOUN
fuelectenerg-5933	454	29	design	design	NOUN
fuelectenerg-5933	454	30	with	with	ADP
fuelectenerg-5933	454	31	constant	constant	ADJ
fuelectenerg-5933	454	32	pitch	pitch	NOUN
fuelectenerg-5933	454	33	has	have	AUX
fuelectenerg-5933	454	34	been	be	AUX
fuelectenerg-5933	454	35	published	publish	VERB
fuelectenerg-5933	454	36	[	[	PUNCT
fuelectenerg-5933	454	37	17	17	NUM
fuelectenerg-5933	454	38	]	]	PUNCT
fuelectenerg-5933	454	39	.	.	PUNCT
fuelectenerg-5933	455	1	each	each	DET
fuelectenerg-5933	455	2	tapered	tapered	ADJ
fuelectenerg-5933	455	3	helix	helix	NOUN
fuelectenerg-5933	455	4	profile	profile	NOUN
fuelectenerg-5933	455	5	would	would	AUX
fuelectenerg-5933	455	6	normally	normally	ADV
fuelectenerg-5933	455	7	be	be	AUX
fuelectenerg-5933	455	8	approximated	approximate	VERB
fuelectenerg-5933	455	9	by	by	ADP
fuelectenerg-5933	455	10	a	a	DET
fuelectenerg-5933	455	11	single	single	ADJ
fuelectenerg-5933	455	12	radius	radius	NOUN
fuelectenerg-5933	455	13	equation	equation	NOUN
fuelectenerg-5933	455	14	from	from	ADP
fuelectenerg-5933	455	15	table	table	NOUN
fuelectenerg-5933	455	16	3	3	NUM
fuelectenerg-5933	455	17	;	;	PUNCT
fuelectenerg-5933	455	18	hence	hence	ADV
fuelectenerg-5933	455	19	the	the	DET
fuelectenerg-5933	455	20	double	double	ADJ
fuelectenerg-5933	455	21	tapered	taper	VERB
fuelectenerg-5933	455	22	-	-	PUNCT
fuelectenerg-5933	455	23	helix	helix	NOUN
fuelectenerg-5933	455	24	profile	profile	NOUN
fuelectenerg-5933	455	25	must	must	AUX
fuelectenerg-5933	455	26	be	be	AUX
fuelectenerg-5933	455	27	handled	handle	VERB
fuelectenerg-5933	455	28	by	by	ADP
fuelectenerg-5933	455	29	an	an	DET
fuelectenerg-5933	455	30	equation	equation	NOUN
fuelectenerg-5933	455	31	of	of	ADP
fuelectenerg-5933	455	32	yet	yet	ADV
fuelectenerg-5933	455	33	higher	high	ADJ
fuelectenerg-5933	455	34	-	-	PUNCT
fuelectenerg-5933	455	35	order	order	NOUN
fuelectenerg-5933	455	36	.	.	PUNCT
fuelectenerg-5933	456	1	as	as	SCONJ
fuelectenerg-5933	456	2	more	more	ADV
fuelectenerg-5933	456	3	powerful	powerful	ADJ
fuelectenerg-5933	456	4	computing	computing	NOUN
fuelectenerg-5933	456	5	resources	resource	NOUN
fuelectenerg-5933	456	6	become	become	VERB
fuelectenerg-5933	456	7	available	available	ADJ
fuelectenerg-5933	456	8	,	,	PUNCT
fuelectenerg-5933	456	9	the	the	DET
fuelectenerg-5933	456	10	structural	structural	ADJ
fuelectenerg-5933	456	11	constraints	constraint	NOUN
fuelectenerg-5933	456	12	may	may	AUX
fuelectenerg-5933	456	13	be	be	AUX
fuelectenerg-5933	456	14	relaxed	relax	VERB
fuelectenerg-5933	456	15	further	far	ADV
fuelectenerg-5933	456	16	to	to	PART
fuelectenerg-5933	456	17	allow	allow	VERB
fuelectenerg-5933	456	18	forms	form	NOUN
fuelectenerg-5933	456	19	such	such	ADJ
fuelectenerg-5933	456	20	as	as	ADP
fuelectenerg-5933	456	21	exponential	exponential	NOUN
fuelectenerg-5933	456	22	-	-	PUNCT
fuelectenerg-5933	456	23	plus	plus	CCONJ
fuelectenerg-5933	456	24	-	-	PUNCT
fuelectenerg-5933	456	25	parabola	parabola	NOUN
fuelectenerg-5933	456	26	,	,	PUNCT
fuelectenerg-5933	456	27	plus	plus	CCONJ
fuelectenerg-5933	456	28	-	-	PUNCT
fuelectenerg-5933	456	29	cubic	cubic	ADJ
fuelectenerg-5933	456	30	-	-	PUNCT
fuelectenerg-5933	456	31	polynomial	polynomial	ADJ
fuelectenerg-5933	456	32	,	,	PUNCT
fuelectenerg-5933	456	33	plus	plus	CCONJ
fuelectenerg-5933	456	34	-	-	PUNCT
fuelectenerg-5933	456	35	quartic	quartic	ADJ
fuelectenerg-5933	456	36	,	,	PUNCT
fuelectenerg-5933	456	37	etc	etc	X
fuelectenerg-5933	456	38	.	.	X
fuelectenerg-5933	456	39	,	,	PUNCT
fuelectenerg-5933	456	40	or	or	CCONJ
fuelectenerg-5933	456	41	a	a	DET
fuelectenerg-5933	456	42	two	two	NUM
fuelectenerg-5933	456	43	-	-	PUNCT
fuelectenerg-5933	456	44	exponential	exponential	NOUN
fuelectenerg-5933	456	45	-	-	PUNCT
fuelectenerg-5933	456	46	plus	plus	CCONJ
fuelectenerg-5933	456	47	-	-	PUNCT
fuelectenerg-5933	456	48	linear	linear	NOUN
fuelectenerg-5933	456	49	form	form	NOUN
fuelectenerg-5933	456	50	,	,	PUNCT
fuelectenerg-5933	456	51	etc	etc	X
fuelectenerg-5933	456	52	.	.	X
fuelectenerg-5933	457	1	with	with	ADP
fuelectenerg-5933	457	2	the	the	DET
fuelectenerg-5933	457	3	increased	increase	VERB
fuelectenerg-5933	457	4	number	number	NOUN
fuelectenerg-5933	457	5	of	of	ADP
fuelectenerg-5933	457	6	variables	variable	NOUN
fuelectenerg-5933	457	7	to	to	PART
fuelectenerg-5933	457	8	be	be	AUX
fuelectenerg-5933	457	9	optimized	optimize	VERB
fuelectenerg-5933	457	10	,	,	PUNCT
fuelectenerg-5933	457	11	more	more	ADV
fuelectenerg-5933	457	12	exotic	exotic	ADJ
fuelectenerg-5933	457	13	forms	form	NOUN
fuelectenerg-5933	457	14	of	of	ADP
fuelectenerg-5933	457	15	structural	structural	ADJ
fuelectenerg-5933	457	16	constraint	constraint	NOUN
fuelectenerg-5933	457	17	may	may	AUX
fuelectenerg-5933	457	18	also	also	ADV
fuelectenerg-5933	457	19	be	be	AUX
fuelectenerg-5933	457	20	found	find	VERB
fuelectenerg-5933	457	21	to	to	PART
fuelectenerg-5933	457	22	be	be	AUX
fuelectenerg-5933	457	23	efficient	efficient	ADJ
fuelectenerg-5933	457	24	,	,	PUNCT
fuelectenerg-5933	457	25	such	such	ADJ
fuelectenerg-5933	457	26	as	as	ADP
fuelectenerg-5933	457	27	chebyshev	chebyshev	NOUN
fuelectenerg-5933	457	28	polynomials	polynomial	NOUN
fuelectenerg-5933	457	29	[	[	X
fuelectenerg-5933	457	30	22	22	NUM
fuelectenerg-5933	457	31	]	]	PUNCT
fuelectenerg-5933	457	32	or	or	CCONJ
fuelectenerg-5933	457	33	catmull	catmull	NOUN
fuelectenerg-5933	457	34	-	-	PUNCT
fuelectenerg-5933	457	35	rom	rom	NOUN
fuelectenerg-5933	457	36	nonlinear	nonlinear	ADJ
fuelectenerg-5933	457	37	splines	spline	NOUN
fuelectenerg-5933	457	38	[	[	X
fuelectenerg-5933	457	39	23	23	NUM
fuelectenerg-5933	457	40	]	]	PUNCT
fuelectenerg-5933	457	41	.	.	PUNCT
fuelectenerg-5933	458	1	since	since	SCONJ
fuelectenerg-5933	458	2	refinement	refinement	NOUN
fuelectenerg-5933	458	3	of	of	ADP
fuelectenerg-5933	458	4	the	the	DET
fuelectenerg-5933	458	5	helical	helical	ADJ
fuelectenerg-5933	458	6	winding	winding	NOUN
fuelectenerg-5933	458	7	of	of	ADP
fuelectenerg-5933	458	8	the	the	DET
fuelectenerg-5933	458	9	antenna	antenna	NOUN
fuelectenerg-5933	458	10	is	be	AUX
fuelectenerg-5933	458	11	now	now	ADV
fuelectenerg-5933	458	12	approaching	approach	VERB
fuelectenerg-5933	458	13	a	a	DET
fuelectenerg-5933	458	14	limit	limit	NOUN
fuelectenerg-5933	458	15	,	,	PUNCT
fuelectenerg-5933	458	16	optimizations	optimization	NOUN
fuelectenerg-5933	458	17	must	must	AUX
fuelectenerg-5933	458	18	be	be	AUX
fuelectenerg-5933	458	19	extended	extend	VERB
fuelectenerg-5933	458	20	to	to	PART
fuelectenerg-5933	458	21	include	include	VERB
fuelectenerg-5933	458	22	other	other	ADJ
fuelectenerg-5933	458	23	structures	structure	NOUN
fuelectenerg-5933	458	24	simultaneously	simultaneously	ADV
fuelectenerg-5933	458	25	,	,	PUNCT
fuelectenerg-5933	458	26	namely	namely	ADV
fuelectenerg-5933	458	27	the	the	DET
fuelectenerg-5933	458	28	reflector	reflector	NOUN
fuelectenerg-5933	459	1	[	[	X
fuelectenerg-5933	459	2	24	24	NUM
fuelectenerg-5933	459	3	]	]	PUNCT
fuelectenerg-5933	459	4	,	,	PUNCT
fuelectenerg-5933	459	5	multi	multi	ADJ
fuelectenerg-5933	459	6	-	-	ADJ
fuelectenerg-5933	459	7	filar	filar	ADJ
fuelectenerg-5933	459	8	windings	winding	NOUN
fuelectenerg-5933	459	9	with	with	ADP
fuelectenerg-5933	459	10	dielectric	dielectric	ADJ
fuelectenerg-5933	459	11	cores	core	NOUN
fuelectenerg-5933	459	12	[	[	X
fuelectenerg-5933	459	13	25,26	25,26	NUM
fuelectenerg-5933	459	14	]	]	PUNCT
fuelectenerg-5933	459	15	,	,	PUNCT
fuelectenerg-5933	459	16	antenna	antenna	NOUN
fuelectenerg-5933	459	17	arrays	array	VERB
fuelectenerg-5933	459	18	and	and	CCONJ
fuelectenerg-5933	459	19	feed	feed	NOUN
fuelectenerg-5933	459	20	impedance	impedance	NOUN
fuelectenerg-5933	459	21	-	-	PUNCT
fuelectenerg-5933	459	22	matching	match	VERB
fuelectenerg-5933	459	23	components	component	NOUN
fuelectenerg-5933	459	24	[	[	X
fuelectenerg-5933	459	25	9	9	NUM
fuelectenerg-5933	459	26	]	]	PUNCT
fuelectenerg-5933	459	27	.	.	PUNCT
fuelectenerg-5933	460	1	references	reference	NOUN
fuelectenerg-5933	460	2	[	[	X
fuelectenerg-5933	460	3	1	1	NUM
fuelectenerg-5933	460	4	]	]	X
fuelectenerg-5933	460	5	j.d	j.d	PROPN
fuelectenerg-5933	460	6	.	.	PROPN
fuelectenerg-5933	460	7	kraus	kraus	PROPN
fuelectenerg-5933	460	8	,	,	PUNCT
fuelectenerg-5933	460	9	“	"	PUNCT
fuelectenerg-5933	460	10	helical	helical	ADJ
fuelectenerg-5933	460	11	beam	beam	NOUN
fuelectenerg-5933	460	12	antennas	antenna	NOUN
fuelectenerg-5933	460	13	,	,	PUNCT
fuelectenerg-5933	460	14	”	"	PUNCT
fuelectenerg-5933	460	15	electronics	electronic	NOUN
fuelectenerg-5933	460	16	,	,	PUNCT
fuelectenerg-5933	460	17	vol	vol	NOUN
fuelectenerg-5933	460	18	.	.	PROPN
fuelectenerg-5933	460	19	20	20	NUM
fuelectenerg-5933	460	20	,	,	PUNCT
fuelectenerg-5933	460	21	pp	pp	ADJ
fuelectenerg-5933	460	22	.	.	PUNCT
fuelectenerg-5933	461	1	109–111	109–111	NUM
fuelectenerg-5933	461	2	,	,	PUNCT
fuelectenerg-5933	461	3	april	april	PROPN
fuelectenerg-5933	461	4	1947	1947	NUM
fuelectenerg-5933	461	5	.	.	PUNCT
fuelectenerg-5933	462	1	[	[	X
fuelectenerg-5933	462	2	2	2	NUM
fuelectenerg-5933	462	3	]	]	X
fuelectenerg-5933	462	4	j.l	j.l	PROPN
fuelectenerg-5933	462	5	.	.	PROPN
fuelectenerg-5933	462	6	wong	wong	PROPN
fuelectenerg-5933	462	7	and	and	CCONJ
fuelectenerg-5933	462	8	h.e	h.e	PROPN
fuelectenerg-5933	462	9	.	.	PROPN
fuelectenerg-5933	462	10	king	king	PROPN
fuelectenerg-5933	462	11	,	,	PUNCT
fuelectenerg-5933	462	12	“	"	PUNCT
fuelectenerg-5933	462	13	empirical	empirical	ADJ
fuelectenerg-5933	462	14	helix	helix	ADJ
fuelectenerg-5933	462	15	antenna	antenna	NOUN
fuelectenerg-5933	462	16	design	design	NOUN
fuelectenerg-5933	462	17	,	,	PUNCT
fuelectenerg-5933	462	18	”	"	PUNCT
fuelectenerg-5933	462	19	antenna	antenna	NOUN
fuelectenerg-5933	462	20	and	and	CCONJ
fuelectenerg-5933	462	21	propagation	propagation	NOUN
fuelectenerg-5933	462	22	society	society	PROPN
fuelectenerg-5933	462	23	international	international	ADJ
fuelectenerg-5933	462	24	symposium	symposium	NOUN
fuelectenerg-5933	462	25	,	,	PUNCT
fuelectenerg-5933	462	26	vol	vol	NOUN
fuelectenerg-5933	462	27	.	.	PROPN
fuelectenerg-5933	462	28	20	20	NUM
fuelectenerg-5933	462	29	,	,	PUNCT
fuelectenerg-5933	462	30	pp	pp	ADJ
fuelectenerg-5933	462	31	.	.	PUNCT
fuelectenerg-5933	463	1	366–369	366–369	NUM
fuelectenerg-5933	463	2	,	,	PUNCT
fuelectenerg-5933	463	3	1982	1982	NUM
fuelectenerg-5933	463	4	.	.	PUNCT
fuelectenerg-5933	464	1	[	[	X
fuelectenerg-5933	464	2	3	3	X
fuelectenerg-5933	464	3	]	]	X
fuelectenerg-5933	464	4	g.	g.	PROPN
fuelectenerg-5933	464	5	burke	burke	PROPN
fuelectenerg-5933	464	6	and	and	CCONJ
fuelectenerg-5933	464	7	a.	a.	NOUN
fuelectenerg-5933	464	8	poggio	poggio	PROPN
fuelectenerg-5933	464	9	,	,	PUNCT
fuelectenerg-5933	464	10	“	"	PUNCT
fuelectenerg-5933	464	11	nec	nec	PROPN
fuelectenerg-5933	464	12	part	part	NOUN
fuelectenerg-5933	464	13	i	i	PRON
fuelectenerg-5933	464	14	:	:	PUNCT
fuelectenerg-5933	464	15	program	program	NOUN
fuelectenerg-5933	464	16	description	description	NOUN
fuelectenerg-5933	464	17	–	–	PUNCT
fuelectenerg-5933	464	18	theory	theory	NOUN
fuelectenerg-5933	464	19	”	"	PUNCT
fuelectenerg-5933	464	20	,	,	PUNCT
fuelectenerg-5933	464	21	technical	technical	ADJ
fuelectenerg-5933	464	22	report	report	NOUN
fuelectenerg-5933	464	23	,	,	PUNCT
fuelectenerg-5933	464	24	lawrence	lawrence	PROPN
fuelectenerg-5933	464	25	livermore	livermore	PROPN
fuelectenerg-5933	464	26	laboratory	laboratory	PROPN
fuelectenerg-5933	464	27	,	,	PUNCT
fuelectenerg-5933	464	28	january	january	PROPN
fuelectenerg-5933	464	29	1981	1981	NUM
fuelectenerg-5933	464	30	.	.	PUNCT
fuelectenerg-5933	465	1	[	[	X
fuelectenerg-5933	465	2	4	4	NUM
fuelectenerg-5933	465	3	]	]	X
fuelectenerg-5933	465	4	wipl	wipl	NOUN
fuelectenerg-5933	465	5	-	-	PUNCT
fuelectenerg-5933	465	6	d	d	ADJ
fuelectenerg-5933	465	7	historical	historical	ADJ
fuelectenerg-5933	465	8	benchmarks	benchmark	NOUN
fuelectenerg-5933	465	9	from	from	ADP
fuelectenerg-5933	465	10	1980	1980	NUM
fuelectenerg-5933	465	11	to	to	ADP
fuelectenerg-5933	465	12	the	the	DET
fuelectenerg-5933	465	13	present	present	NOUN
fuelectenerg-5933	465	14	.	.	PUNCT
fuelectenerg-5933	466	1	[	[	X
fuelectenerg-5933	466	2	5	5	X
fuelectenerg-5933	466	3	]	]	PUNCT
fuelectenerg-5933	466	4	mathworks	mathworks	PROPN
fuelectenerg-5933	466	5	factsheet	factsheet	NOUN
fuelectenerg-5933	466	6	citing	cite	VERB
fuelectenerg-5933	466	7	the	the	DET
fuelectenerg-5933	466	8	initial	initial	ADJ
fuelectenerg-5933	466	9	release	release	NOUN
fuelectenerg-5933	466	10	of	of	ADP
fuelectenerg-5933	466	11	matlab	matlab	PROPN
fuelectenerg-5933	466	12	®	®	NOUN
fuelectenerg-5933	466	13	in	in	ADP
fuelectenerg-5933	466	14	1984	1984	NUM
fuelectenerg-5933	466	15	[	[	X
fuelectenerg-5933	466	16	6	6	NUM
fuelectenerg-5933	466	17	]	]	PUNCT
fuelectenerg-5933	466	18	k.	k.	PROPN
fuelectenerg-5933	466	19	schmidt	schmidt	PROPN
fuelectenerg-5933	466	20	,	,	PUNCT
fuelectenerg-5933	466	21	java	java	PROPN
fuelectenerg-5933	466	22	applet	applet	PROPN
fuelectenerg-5933	466	23	source	source	PROPN
fuelectenerg-5933	466	24	,	,	PUNCT
fuelectenerg-5933	466	25	1998	1998	NUM
fuelectenerg-5933	466	26	.	.	PUNCT
fuelectenerg-5933	467	1	[	[	X
fuelectenerg-5933	467	2	7	7	X
fuelectenerg-5933	467	3	]	]	PUNCT
fuelectenerg-5933	467	4	k.	k.	PROPN
fuelectenerg-5933	467	5	schmidt	schmidt	PROPN
fuelectenerg-5933	467	6	,	,	PUNCT
fuelectenerg-5933	467	7	yagi	yagi	ADJ
fuelectenerg-5933	467	8	modeller	modeller	NOUN
fuelectenerg-5933	467	9	notes	note	NOUN
fuelectenerg-5933	467	10	.	.	PUNCT
fuelectenerg-5933	468	1	[	[	X
fuelectenerg-5933	468	2	8	8	NUM
fuelectenerg-5933	468	3	]	]	X
fuelectenerg-5933	468	4	a.r	a.r	PROPN
fuelectenerg-5933	468	5	.	.	PROPN
fuelectenerg-5933	468	6	djordjević	djordjević	PROPN
fuelectenerg-5933	468	7	,	,	PUNCT
fuelectenerg-5933	468	8	a.g	a.g	PROPN
fuelectenerg-5933	468	9	.	.	PROPN
fuelectenerg-5933	468	10	zajić	zajić	PROPN
fuelectenerg-5933	468	11	,	,	PUNCT
fuelectenerg-5933	468	12	m.m	m.m	PROPN
fuelectenerg-5933	468	13	.	.	PROPN
fuelectenerg-5933	468	14	ilić	ilić	PROPN
fuelectenerg-5933	468	15	and	and	CCONJ
fuelectenerg-5933	468	16	g.l	g.l	PROPN
fuelectenerg-5933	468	17	.	.	PROPN
fuelectenerg-5933	468	18	stüber	stüber	PROPN
fuelectenerg-5933	468	19	,	,	PUNCT
fuelectenerg-5933	468	20	“	"	PUNCT
fuelectenerg-5933	468	21	optimization	optimization	NOUN
fuelectenerg-5933	468	22	of	of	ADP
fuelectenerg-5933	468	23	helical	helical	ADJ
fuelectenerg-5933	468	24	antennas	antenna	NOUN
fuelectenerg-5933	468	25	”	"	PUNCT
fuelectenerg-5933	468	26	,	,	PUNCT
fuelectenerg-5933	468	27	ieee	ieee	NOUN
fuelectenerg-5933	468	28	antennas	antenna	NOUN
fuelectenerg-5933	468	29	and	and	CCONJ
fuelectenerg-5933	468	30	propagation	propagation	NOUN
fuelectenerg-5933	468	31	magazine	magazine	NOUN
fuelectenerg-5933	468	32	,	,	PUNCT
fuelectenerg-5933	468	33	vol	vol	NOUN
fuelectenerg-5933	468	34	.	.	PROPN
fuelectenerg-5933	469	1	48	48	NUM
fuelectenerg-5933	469	2	,	,	PUNCT
fuelectenerg-5933	469	3	no	no	INTJ
fuelectenerg-5933	469	4	.	.	NOUN
fuelectenerg-5933	469	5	6	6	NUM
fuelectenerg-5933	469	6	,	,	PUNCT
fuelectenerg-5933	469	7	pp	pp	ADJ
fuelectenerg-5933	469	8	.	.	PUNCT
fuelectenerg-5933	470	1	107–115	107–115	NUM
fuelectenerg-5933	470	2	,	,	PUNCT
fuelectenerg-5933	470	3	dec	dec	PROPN
fuelectenerg-5933	470	4	.	.	PROPN
fuelectenerg-5933	470	5	2006	2006	NUM
fuelectenerg-5933	470	6	.	.	PUNCT
fuelectenerg-5933	471	1	[	[	X
fuelectenerg-5933	471	2	9	9	NUM
fuelectenerg-5933	471	3	]	]	X
fuelectenerg-5933	471	4	j.l	j.l	PROPN
fuelectenerg-5933	471	5	.	.	PROPN
fuelectenerg-5933	471	6	dinkić	dinkić	PROPN
fuelectenerg-5933	471	7	,	,	PUNCT
fuelectenerg-5933	471	8	d.i	d.i	PROPN
fuelectenerg-5933	471	9	.	.	PROPN
fuelectenerg-5933	471	10	olćan	olćan	PROPN
fuelectenerg-5933	471	11	,	,	PUNCT
fuelectenerg-5933	471	12	a.r	a.r	PROPN
fuelectenerg-5933	471	13	.	.	PROPN
fuelectenerg-5933	471	14	djordjević	djordjević	PROPN
fuelectenerg-5933	471	15	and	and	CCONJ
fuelectenerg-5933	471	16	a.g	a.g	PROPN
fuelectenerg-5933	471	17	.	.	PROPN
fuelectenerg-5933	471	18	zajić	zajić	PROPN
fuelectenerg-5933	471	19	,	,	PUNCT
fuelectenerg-5933	471	20	“	"	PUNCT
fuelectenerg-5933	471	21	high	high	ADJ
fuelectenerg-5933	471	22	-	-	PUNCT
fuelectenerg-5933	471	23	gain	gain	NOUN
fuelectenerg-5933	471	24	quad	quad	ADJ
fuelectenerg-5933	471	25	array	array	NOUN
fuelectenerg-5933	471	26	of	of	ADP
fuelectenerg-5933	471	27	nonuniform	nonuniform	ADJ
fuelectenerg-5933	471	28	helical	helical	ADJ
fuelectenerg-5933	471	29	antennas	antenna	NOUN
fuelectenerg-5933	471	30	”	"	PUNCT
fuelectenerg-5933	471	31	,	,	PUNCT
fuelectenerg-5933	471	32	int'l	int'l	ADP
fuelectenerg-5933	471	33	j.	j.	PROPN
fuelectenerg-5933	471	34	antennas	antennas	PROPN
fuelectenerg-5933	471	35	and	and	CCONJ
fuelectenerg-5933	471	36	propagation	propagation	NOUN
fuelectenerg-5933	471	37	,	,	PUNCT
fuelectenerg-5933	471	38	article	article	NOUN
fuelectenerg-5933	471	39	i	i	PROPN
fuelectenerg-5933	471	40	d	d	PROPN
fuelectenerg-5933	471	41	8421809	8421809	NUM
fuelectenerg-5933	471	42	,	,	PUNCT
fuelectenerg-5933	471	43	12	12	NUM
fuelectenerg-5933	471	44	pp	pp	NOUN
fuelectenerg-5933	471	45	.	.	PUNCT
fuelectenerg-5933	471	46	,	,	PUNCT
fuelectenerg-5933	471	47	march	march	PROPN
fuelectenerg-5933	471	48	2019	2019	NUM
fuelectenerg-5933	471	49	.	.	PUNCT
fuelectenerg-5933	472	1	[	[	X
fuelectenerg-5933	472	2	10	10	NUM
fuelectenerg-5933	472	3	]	]	X
fuelectenerg-5933	472	4	j.	j.	PROPN
fuelectenerg-5933	472	5	dinkić	dinkić	PROPN
fuelectenerg-5933	472	6	,	,	PUNCT
fuelectenerg-5933	472	7	d.	d.	PROPN
fuelectenerg-5933	472	8	olćan	olćan	PROPN
fuelectenerg-5933	472	9	,	,	PUNCT
fuelectenerg-5933	472	10	a.	a.	NOUN
fuelectenerg-5933	472	11	djordjević	djordjević	PROPN
fuelectenerg-5933	472	12	and	and	CCONJ
fuelectenerg-5933	472	13	a.	a.	NOUN
fuelectenerg-5933	472	14	zajić	zajić	PROPN
fuelectenerg-5933	472	15	,	,	PUNCT
fuelectenerg-5933	472	16	“	"	PUNCT
fuelectenerg-5933	472	17	design	design	NOUN
fuelectenerg-5933	472	18	and	and	CCONJ
fuelectenerg-5933	472	19	optimization	optimization	NOUN
fuelectenerg-5933	472	20	of	of	ADP
fuelectenerg-5933	472	21	nonuniform	nonuniform	ADJ
fuelectenerg-5933	472	22	helical	helical	ADJ
fuelectenerg-5933	472	23	antennas	antenna	NOUN
fuelectenerg-5933	472	24	with	with	ADP
fuelectenerg-5933	472	25	linearly	linearly	ADV
fuelectenerg-5933	472	26	varying	vary	VERB
fuelectenerg-5933	472	27	geometrical	geometrical	ADJ
fuelectenerg-5933	472	28	parameters	parameter	NOUN
fuelectenerg-5933	472	29	”	"	PUNCT
fuelectenerg-5933	472	30	,	,	PUNCT
fuelectenerg-5933	472	31	ieee	ieee	NOUN
fuelectenerg-5933	472	32	access	access	NOUN
fuelectenerg-5933	472	33	,	,	PUNCT
fuelectenerg-5933	472	34	12	12	NUM
fuelectenerg-5933	472	35	pp	pp	NOUN
fuelectenerg-5933	472	36	.	.	PUNCT
fuelectenerg-5933	472	37	,	,	PUNCT
fuelectenerg-5933	472	38	in	in	ADP
fuelectenerg-5933	472	39	press	press	NOUN
fuelectenerg-5933	472	40	.	.	PUNCT
fuelectenerg-5933	473	1	[	[	X
fuelectenerg-5933	473	2	11	11	NUM
fuelectenerg-5933	473	3	]	]	PUNCT
fuelectenerg-5933	473	4	k.	k.	PROPN
fuelectenerg-5933	473	5	schmidt	schmidt	PROPN
fuelectenerg-5933	473	6	,	,	PUNCT
fuelectenerg-5933	473	7	“	"	PUNCT
fuelectenerg-5933	473	8	simplified	simplified	ADJ
fuelectenerg-5933	473	9	mutual	mutual	ADJ
fuelectenerg-5933	473	10	impedance	impedance	NOUN
fuelectenerg-5933	473	11	of	of	ADP
fuelectenerg-5933	473	12	nonplanar	nonplanar	ADJ
fuelectenerg-5933	473	13	skew	skew	ADJ
fuelectenerg-5933	473	14	dipoles	dipole	NOUN
fuelectenerg-5933	473	15	”	"	PUNCT
fuelectenerg-5933	473	16	,	,	PUNCT
fuelectenerg-5933	473	17	ieee	ieee	NOUN
fuelectenerg-5933	473	18	trans	trans	PROPN
fuelectenerg-5933	473	19	.	.	PUNCT
fuelectenerg-5933	474	1	on	on	ADP
fuelectenerg-5933	474	2	antennas	antenna	NOUN
fuelectenerg-5933	474	3	and	and	CCONJ
fuelectenerg-5933	474	4	propagation	propagation	NOUN
fuelectenerg-5933	474	5	,	,	PUNCT
fuelectenerg-5933	474	6	vol	vol	NOUN
fuelectenerg-5933	474	7	.	.	PROPN
fuelectenerg-5933	474	8	44	44	NUM
fuelectenerg-5933	474	9	,	,	PUNCT
fuelectenerg-5933	474	10	no	no	INTJ
fuelectenerg-5933	474	11	.	.	NOUN
fuelectenerg-5933	474	12	9	9	NUM
fuelectenerg-5933	474	13	,	,	PUNCT
fuelectenerg-5933	474	14	pp	pp	ADJ
fuelectenerg-5933	474	15	.	.	PUNCT
fuelectenerg-5933	474	16	1298–99	1298–99	NOUN
fuelectenerg-5933	474	17	,	,	PUNCT
fuelectenerg-5933	474	18	1996	1996	NUM
fuelectenerg-5933	474	19	.	.	PUNCT
fuelectenerg-5933	475	1	[	[	X
fuelectenerg-5933	475	2	12	12	NUM
fuelectenerg-5933	475	3	]	]	X
fuelectenerg-5933	475	4	p.g	p.g	PROPN
fuelectenerg-5933	475	5	.	.	PROPN
fuelectenerg-5933	475	6	collier	collier	PROPN
fuelectenerg-5933	475	7	,	,	PUNCT
fuelectenerg-5933	475	8	optimized	optimize	VERB
fuelectenerg-5933	475	9	15	15	NUM
fuelectenerg-5933	475	10	-	-	PUNCT
fuelectenerg-5933	475	11	element	element	NOUN
fuelectenerg-5933	475	12	yagi	yagi	ADJ
fuelectenerg-5933	475	13	-	-	PUNCT
fuelectenerg-5933	475	14	uda	uda	NOUN
fuelectenerg-5933	475	15	antenna	antenna	NOUN
fuelectenerg-5933	475	16	data	datum	NOUN
fuelectenerg-5933	475	17	.	.	PUNCT
fuelectenerg-5933	476	1	[	[	X
fuelectenerg-5933	476	2	13	13	NUM
fuelectenerg-5933	476	3	]	]	X
fuelectenerg-5933	476	4	g.e	g.e	PROPN
fuelectenerg-5933	476	5	.	.	PUNCT
fuelectenerg-5933	476	6	innes	inne	NOUN
fuelectenerg-5933	476	7	,	,	PUNCT
fuelectenerg-5933	476	8	“	"	PUNCT
fuelectenerg-5933	476	9	an	an	DET
fuelectenerg-5933	476	10	experimental	experimental	ADJ
fuelectenerg-5933	476	11	and	and	CCONJ
fuelectenerg-5933	476	12	theoretical	theoretical	ADJ
fuelectenerg-5933	476	13	study	study	NOUN
fuelectenerg-5933	476	14	of	of	ADP
fuelectenerg-5933	476	15	viscous	viscous	ADJ
fuelectenerg-5933	476	16	lifting	lifting	NOUN
fuelectenerg-5933	476	17	in	in	ADP
fuelectenerg-5933	476	18	tribology	tribology	PROPN
fuelectenerg-5933	476	19	”	"	PUNCT
fuelectenerg-5933	476	20	,	,	PUNCT
fuelectenerg-5933	476	21	ph.d	ph.d	PROPN
fuelectenerg-5933	476	22	.	.	PUNCT
fuelectenerg-5933	477	1	thesis	thesis	NOUN
fuelectenerg-5933	477	2	,	,	PUNCT
fuelectenerg-5933	477	3	appendix	appendix	NOUN
fuelectenerg-5933	477	4	c	c	NOUN
fuelectenerg-5933	477	5	,	,	PUNCT
fuelectenerg-5933	477	6	department	department	NOUN
fuelectenerg-5933	477	7	of	of	ADP
fuelectenerg-5933	477	8	mechanical	mechanical	ADJ
fuelectenerg-5933	477	9	engineering	engineering	NOUN
fuelectenerg-5933	477	10	,	,	PUNCT
fuelectenerg-5933	477	11	university	university	NOUN
fuelectenerg-5933	477	12	of	of	ADP
fuelectenerg-5933	477	13	leeds	leed	NOUN
fuelectenerg-5933	477	14	,	,	PUNCT
fuelectenerg-5933	477	15	leeds	leed	NOUN
fuelectenerg-5933	477	16	,	,	PUNCT
fuelectenerg-5933	477	17	u.k	u.k	PROPN
fuelectenerg-5933	477	18	.	.	PROPN
fuelectenerg-5933	477	19	,	,	PUNCT
fuelectenerg-5933	477	20	1993	1993	NUM
fuelectenerg-5933	477	21	.	.	PUNCT
fuelectenerg-5933	478	1	[	[	X
fuelectenerg-5933	478	2	14	14	NUM
fuelectenerg-5933	478	3	]	]	X
fuelectenerg-5933	478	4	r.	r.	PROPN
fuelectenerg-5933	478	5	kalmeijer	kalmeijer	PROPN
fuelectenerg-5933	478	6	,	,	PUNCT
fuelectenerg-5933	478	7	“	"	PUNCT
fuelectenerg-5933	478	8	circularly	circularly	ADV
fuelectenerg-5933	478	9	polarized	polarize	VERB
fuelectenerg-5933	478	10	quagi	quagi	NOUN
fuelectenerg-5933	478	11	antennas	antenna	NOUN
fuelectenerg-5933	478	12	for	for	ADP
fuelectenerg-5933	478	13	space	space	NOUN
fuelectenerg-5933	478	14	communications	communication	NOUN
fuelectenerg-5933	478	15	”	"	PUNCT
fuelectenerg-5933	478	16	.	.	PUNCT
fuelectenerg-5933	479	1	[	[	X
fuelectenerg-5933	479	2	15	15	NUM
fuelectenerg-5933	479	3	]	]	X
fuelectenerg-5933	479	4	w.i	w.i	PROPN
fuelectenerg-5933	479	5	.	.	PROPN
fuelectenerg-5933	479	6	orr	orr	PROPN
fuelectenerg-5933	479	7	and	and	CCONJ
fuelectenerg-5933	479	8	s.d	s.d	PROPN
fuelectenerg-5933	479	9	.	.	PROPN
fuelectenerg-5933	479	10	cowan	cowan	PROPN
fuelectenerg-5933	479	11	,	,	PUNCT
fuelectenerg-5933	479	12	all	all	ADV
fuelectenerg-5933	479	13	about	about	ADV
fuelectenerg-5933	479	14	cubical	cubical	ADJ
fuelectenerg-5933	479	15	quad	quad	NOUN
fuelectenerg-5933	479	16	antennas	antenna	NOUN
fuelectenerg-5933	479	17	,	,	PUNCT
fuelectenerg-5933	479	18	2nd	2nd	ADJ
fuelectenerg-5933	479	19	edn	edn	NOUN
fuelectenerg-5933	479	20	.	.	PUNCT
fuelectenerg-5933	480	1	radio	radio	NOUN
fuelectenerg-5933	480	2	publications	publication	NOUN
fuelectenerg-5933	480	3	,	,	PUNCT
fuelectenerg-5933	480	4	inc	inc	PROPN
fuelectenerg-5933	480	5	.	.	PROPN
fuelectenerg-5933	480	6	,	,	PUNCT
fuelectenerg-5933	480	7	box	box	PROPN
fuelectenerg-5933	480	8	149	149	NUM
fuelectenerg-5933	480	9	,	,	PUNCT
fuelectenerg-5933	480	10	wilton	wilton	PROPN
fuelectenerg-5933	480	11	,	,	PUNCT
fuelectenerg-5933	480	12	conn	conn	PROPN
fuelectenerg-5933	480	13	.	.	PROPN
fuelectenerg-5933	480	14	06897	06897	NUM
fuelectenerg-5933	480	15	,	,	PUNCT
fuelectenerg-5933	480	16	1970	1970	NUM
fuelectenerg-5933	480	17	.	.	PUNCT
fuelectenerg-5933	481	1	[	[	X
fuelectenerg-5933	481	2	16	16	NUM
fuelectenerg-5933	481	3	]	]	X
fuelectenerg-5933	481	4	cubical	cubical	ADJ
fuelectenerg-5933	481	5	quad	quad	NOUN
fuelectenerg-5933	481	6	antenna	antenna	NOUN
fuelectenerg-5933	481	7	data	datum	NOUN
fuelectenerg-5933	481	8	,	,	PUNCT
fuelectenerg-5933	481	9	www.basictables.com/amateur-radio/antenna/cubical-quad-antenna	www.basictables.com/amateur-radio/antenna/cubical-quad-antenna	PROPN
fuelectenerg-5933	481	10	[	[	X
fuelectenerg-5933	481	11	17	17	NUM
fuelectenerg-5933	481	12	]	]	X
fuelectenerg-5933	481	13	j.l	j.l	PROPN
fuelectenerg-5933	481	14	.	.	PROPN
fuelectenerg-5933	481	15	wong	wong	PROPN
fuelectenerg-5933	481	16	and	and	CCONJ
fuelectenerg-5933	481	17	h.e	h.e	PROPN
fuelectenerg-5933	481	18	.	.	PROPN
fuelectenerg-5933	481	19	king	king	PROPN
fuelectenerg-5933	481	20	,	,	PUNCT
fuelectenerg-5933	481	21	“	"	PUNCT
fuelectenerg-5933	481	22	broadband	broadband	NOUN
fuelectenerg-5933	481	23	quasi	quasi	ADJ
fuelectenerg-5933	481	24	-	-	ADJ
fuelectenerg-5933	481	25	taper	taper	ADJ
fuelectenerg-5933	481	26	helical	helical	ADJ
fuelectenerg-5933	481	27	antennas	antenna	NOUN
fuelectenerg-5933	481	28	”	"	PUNCT
fuelectenerg-5933	481	29	,	,	PUNCT
fuelectenerg-5933	481	30	n.t.i.s	n.t.i.s	PROPN
fuelectenerg-5933	481	31	.	.	PUNCT
fuelectenerg-5933	482	1	report	report	PROPN
fuelectenerg-5933	482	2	a046067	a046067	NOUN
fuelectenerg-5933	482	3	,	,	PUNCT
fuelectenerg-5933	482	4	35	35	NUM
fuelectenerg-5933	482	5	pp	pp	NOUN
fuelectenerg-5933	482	6	.	.	PUNCT
fuelectenerg-5933	482	7	,	,	PUNCT
fuelectenerg-5933	482	8	30	30	NUM
fuelectenerg-5933	482	9	sept	sept	PROPN
fuelectenerg-5933	482	10	.	.	PROPN
fuelectenerg-5933	482	11	1977	1977	NUM
fuelectenerg-5933	482	12	.	.	PUNCT
fuelectenerg-5933	483	1	[	[	X
fuelectenerg-5933	483	2	18	18	NUM
fuelectenerg-5933	483	3	]	]	X
fuelectenerg-5933	483	4	s.	s.	PROPN
fuelectenerg-5933	483	5	talari	talari	PROPN
fuelectenerg-5933	483	6	,	,	PUNCT
fuelectenerg-5933	483	7	r.	r.	PROPN
fuelectenerg-5933	483	8	naraiah	naraiah	PROPN
fuelectenerg-5933	483	9	,	,	PUNCT
fuelectenerg-5933	483	10	and	and	CCONJ
fuelectenerg-5933	483	11	dr	dr	PROPN
fuelectenerg-5933	483	12	.	.	PROPN
fuelectenerg-5933	483	13	ramakrishna	ramakrishna	PROPN
fuelectenerg-5933	483	14	,	,	PUNCT
fuelectenerg-5933	483	15	“	"	PUNCT
fuelectenerg-5933	483	16	tapered	tapered	ADJ
fuelectenerg-5933	483	17	spiral	spiral	ADJ
fuelectenerg-5933	483	18	helix	helix	ADJ
fuelectenerg-5933	483	19	antenna	antenna	NOUN
fuelectenerg-5933	483	20	”	"	PUNCT
fuelectenerg-5933	483	21	,	,	PUNCT
fuelectenerg-5933	483	22	int'l	int'l	ADV
fuelectenerg-5933	483	23	j.	j.	NOUN
fuelectenerg-5933	483	24	emerging	emerge	VERB
fuelectenerg-5933	483	25	tech	tech	NOUN
fuelectenerg-5933	483	26	.	.	PUNCT
fuelectenerg-5933	484	1	adv	adv	PROPN
fuelectenerg-5933	484	2	.	.	PUNCT
fuelectenerg-5933	485	1	eng	eng	PROPN
fuelectenerg-5933	485	2	.	.	PROPN
fuelectenerg-5933	485	3	,	,	PUNCT
fuelectenerg-5933	485	4	vol	vol	NOUN
fuelectenerg-5933	485	5	.	.	PROPN
fuelectenerg-5933	486	1	3	3	NUM
fuelectenerg-5933	486	2	,	,	PUNCT
fuelectenerg-5933	486	3	no	no	INTJ
fuelectenerg-5933	486	4	.	.	NOUN
fuelectenerg-5933	486	5	3	3	NUM
fuelectenerg-5933	486	6	,	,	PUNCT
fuelectenerg-5933	486	7	pp	pp	ADJ
fuelectenerg-5933	486	8	.	.	PUNCT
fuelectenerg-5933	487	1	318–25	318–25	NUM
fuelectenerg-5933	487	2	,	,	PUNCT
fuelectenerg-5933	487	3	march	march	PROPN
fuelectenerg-5933	487	4	2013	2013	NUM
fuelectenerg-5933	487	5	.	.	PUNCT
fuelectenerg-5933	488	1	[	[	X
fuelectenerg-5933	488	2	19	19	NUM
fuelectenerg-5933	488	3	]	]	PUNCT
fuelectenerg-5933	488	4	t.	t.	PROPN
fuelectenerg-5933	488	5	peng	peng	PROPN
fuelectenerg-5933	488	6	,	,	PUNCT
fuelectenerg-5933	488	7	s.	s.	PROPN
fuelectenerg-5933	488	8	koulouridis	koulouridis	PROPN
fuelectenerg-5933	488	9	and	and	CCONJ
fuelectenerg-5933	488	10	j.l	j.l	PROPN
fuelectenerg-5933	488	11	.	.	PROPN
fuelectenerg-5933	488	12	volakis	volakis	PROPN
fuelectenerg-5933	488	13	,	,	PUNCT
fuelectenerg-5933	488	14	“	"	PUNCT
fuelectenerg-5933	488	15	miniaturization	miniaturization	NOUN
fuelectenerg-5933	488	16	of	of	ADP
fuelectenerg-5933	488	17	conical	conical	ADJ
fuelectenerg-5933	488	18	helical	helical	ADJ
fuelectenerg-5933	488	19	antenna	antenna	NOUN
fuelectenerg-5933	488	20	via	via	ADP
fuelectenerg-5933	488	21	optimized	optimize	VERB
fuelectenerg-5933	488	22	coiling	coiling	NOUN
fuelectenerg-5933	488	23	”	"	PUNCT
fuelectenerg-5933	488	24	,	,	PUNCT
fuelectenerg-5933	488	25	a.c.e.s	a.c.e.s	PROPN
fuelectenerg-5933	488	26	.	.	PROPN
fuelectenerg-5933	488	27	j.	j.	PROPN
fuelectenerg-5933	488	28	,	,	PUNCT
fuelectenerg-5933	488	29	vol	vol	NOUN
fuelectenerg-5933	488	30	.	.	PROPN
fuelectenerg-5933	488	31	26	26	NUM
fuelectenerg-5933	488	32	,	,	PUNCT
fuelectenerg-5933	488	33	no	no	INTJ
fuelectenerg-5933	488	34	.	.	NOUN
fuelectenerg-5933	488	35	6	6	NUM
fuelectenerg-5933	488	36	,	,	PUNCT
fuelectenerg-5933	488	37	pp	pp	ADJ
fuelectenerg-5933	488	38	.	.	PUNCT
fuelectenerg-5933	489	1	452–58	452–58	PROPN
fuelectenerg-5933	489	2	,	,	PUNCT
fuelectenerg-5933	489	3	june	june	PROPN
fuelectenerg-5933	489	4	2011	2011	NUM
fuelectenerg-5933	489	5	.	.	PUNCT
fuelectenerg-5933	490	1	http://www.basictables.com/amatuer-radio/antenna/cubical-quad-antenna	http://www.basictables.com/amatuer-radio/antenna/cubical-quad-antenna	AUX
fuelectenerg-5933	490	2	higher	high	ADJ
fuelectenerg-5933	490	3	-	-	PUNCT
fuelectenerg-5933	490	4	order	order	NOUN
fuelectenerg-5933	490	5	structural	structural	ADJ
fuelectenerg-5933	490	6	constraints	constraint	NOUN
fuelectenerg-5933	490	7	for	for	ADP
fuelectenerg-5933	490	8	improved	improved	ADJ
fuelectenerg-5933	490	9	optimization	optimization	NOUN
fuelectenerg-5933	490	10	of	of	ADP
fuelectenerg-5933	490	11	nonuniform	nonuniform	ADJ
fuelectenerg-5933	490	12	helical	helical	ADJ
fuelectenerg-5933	490	13	antennas	antenna	NOUN
fuelectenerg-5933	490	14	551	551	NUM
fuelectenerg-5933	491	1	[	[	SYM
fuelectenerg-5933	491	2	20	20	NUM
fuelectenerg-5933	491	3	]	]	X
fuelectenerg-5933	491	4	a.f	a.f	PROPN
fuelectenerg-5933	491	5	.	.	PROPN
fuelectenerg-5933	491	6	peterson	peterson	PROPN
fuelectenerg-5933	491	7	,	,	PUNCT
fuelectenerg-5933	491	8	b.s	b.s	PROPN
fuelectenerg-5933	491	9	.	.	PROPN
fuelectenerg-5933	491	10	greene	greene	PROPN
fuelectenerg-5933	491	11	and	and	CCONJ
fuelectenerg-5933	491	12	r.	r.	PROPN
fuelectenerg-5933	491	13	mittra	mittra	PROPN
fuelectenerg-5933	491	14	,	,	PUNCT
fuelectenerg-5933	491	15	“	"	PUNCT
fuelectenerg-5933	491	16	propagation	propagation	NOUN
fuelectenerg-5933	491	17	and	and	CCONJ
fuelectenerg-5933	491	18	radiation	radiation	NOUN
fuelectenerg-5933	491	19	characteristics	characteristic	NOUN
fuelectenerg-5933	491	20	of	of	ADP
fuelectenerg-5933	491	21	the	the	DET
fuelectenerg-5933	491	22	tape	tape	NOUN
fuelectenerg-5933	491	23	helix	helix	NOUN
fuelectenerg-5933	491	24	with	with	ADP
fuelectenerg-5933	491	25	a	a	DET
fuelectenerg-5933	491	26	conducting	conducting	NOUN
fuelectenerg-5933	491	27	core	core	NOUN
fuelectenerg-5933	491	28	and	and	CCONJ
fuelectenerg-5933	491	29	dielectric	dielectric	ADJ
fuelectenerg-5933	491	30	substrate	substrate	NOUN
fuelectenerg-5933	491	31	”	"	PUNCT
fuelectenerg-5933	491	32	,	,	PUNCT
fuelectenerg-5933	491	33	ieee	ieee	NOUN
fuelectenerg-5933	491	34	trans	trans	PROPN
fuelectenerg-5933	491	35	.	.	PUNCT
fuelectenerg-5933	492	1	on	on	ADP
fuelectenerg-5933	492	2	antennas	antenna	NOUN
fuelectenerg-5933	492	3	and	and	CCONJ
fuelectenerg-5933	492	4	propagation	propagation	NOUN
fuelectenerg-5933	492	5	,	,	PUNCT
fuelectenerg-5933	492	6	vol	vol	NOUN
fuelectenerg-5933	492	7	.	.	PROPN
fuelectenerg-5933	493	1	38	38	NUM
fuelectenerg-5933	493	2	,	,	PUNCT
fuelectenerg-5933	493	3	no	no	INTJ
fuelectenerg-5933	493	4	.	.	NOUN
fuelectenerg-5933	493	5	4	4	NUM
fuelectenerg-5933	493	6	,	,	PUNCT
fuelectenerg-5933	493	7	pp	pp	ADJ
fuelectenerg-5933	493	8	.	.	PUNCT
fuelectenerg-5933	494	1	578–84	578–84	NOUN
fuelectenerg-5933	494	2	,	,	PUNCT
fuelectenerg-5933	494	3	april	april	PROPN
fuelectenerg-5933	494	4	1990	1990	NUM
fuelectenerg-5933	494	5	.	.	PUNCT
fuelectenerg-5933	495	1	[	[	X
fuelectenerg-5933	495	2	21	21	NUM
fuelectenerg-5933	495	3	]	]	X
fuelectenerg-5933	495	4	s.v	s.v	PROPN
fuelectenerg-5933	495	5	.	.	PROPN
fuelectenerg-5933	495	6	savić	savić	PROPN
fuelectenerg-5933	495	7	,	,	PUNCT
fuelectenerg-5933	495	8	m.m	m.m	PROPN
fuelectenerg-5933	495	9	.	.	PROPN
fuelectenerg-5933	495	10	ilić	ilić	PROPN
fuelectenerg-5933	495	11	and	and	CCONJ
fuelectenerg-5933	495	12	a.r	a.r	PROPN
fuelectenerg-5933	495	13	.	.	PROPN
fuelectenerg-5933	495	14	djordjević	djordjević	PROPN
fuelectenerg-5933	495	15	,	,	PUNCT
fuelectenerg-5933	495	16	“	"	PUNCT
fuelectenerg-5933	495	17	design	design	NOUN
fuelectenerg-5933	495	18	of	of	ADP
fuelectenerg-5933	495	19	internal	internal	ADJ
fuelectenerg-5933	495	20	wire	wire	NOUN
fuelectenerg-5933	495	21	-	-	PUNCT
fuelectenerg-5933	495	22	based	base	VERB
fuelectenerg-5933	495	23	impedance	impedance	NOUN
fuelectenerg-5933	495	24	matching	matching	NOUN
fuelectenerg-5933	495	25	of	of	ADP
fuelectenerg-5933	495	26	helical	helical	ADJ
fuelectenerg-5933	495	27	antennas	antenna	NOUN
fuelectenerg-5933	495	28	using	use	VERB
fuelectenerg-5933	495	29	an	an	DET
fuelectenerg-5933	495	30	equivalent	equivalent	ADJ
fuelectenerg-5933	495	31	thin	thin	ADJ
fuelectenerg-5933	495	32	-	-	PUNCT
fuelectenerg-5933	495	33	wire	wire	NOUN
fuelectenerg-5933	495	34	model	model	NOUN
fuelectenerg-5933	495	35	”	"	PUNCT
fuelectenerg-5933	495	36	,	,	PUNCT
fuelectenerg-5933	495	37	int'l	int'l	ADP
fuelectenerg-5933	495	38	j.	j.	PROPN
fuelectenerg-5933	495	39	antennas	antennas	PROPN
fuelectenerg-5933	495	40	and	and	CCONJ
fuelectenerg-5933	495	41	propagation	propagation	NOUN
fuelectenerg-5933	495	42	,	,	PUNCT
fuelectenerg-5933	495	43	article	article	NOUN
fuelectenerg-5933	495	44	i	i	PROPN
fuelectenerg-5933	495	45	d	d	PROPN
fuelectenerg-5933	495	46	7365793	7365793	NUM
fuelectenerg-5933	495	47	,	,	PUNCT
fuelectenerg-5933	495	48	5	5	NUM
fuelectenerg-5933	495	49	pp	pp	NOUN
fuelectenerg-5933	495	50	.	.	PUNCT
fuelectenerg-5933	495	51	,	,	PUNCT
fuelectenerg-5933	495	52	dec	dec	PROPN
fuelectenerg-5933	495	53	.	.	PROPN
fuelectenerg-5933	495	54	2017	2017	NUM
fuelectenerg-5933	495	55	.	.	PUNCT
fuelectenerg-5933	496	1	[	[	X
fuelectenerg-5933	496	2	22	22	NUM
fuelectenerg-5933	496	3	]	]	PUNCT
fuelectenerg-5933	496	4	s.	s.	PROPN
fuelectenerg-5933	496	5	sharma	sharma	PROPN
fuelectenerg-5933	496	6	,	,	PUNCT
fuelectenerg-5933	496	7	r.	r.	PROPN
fuelectenerg-5933	496	8	rishi	rishi	PROPN
fuelectenerg-5933	496	9	and	and	CCONJ
fuelectenerg-5933	496	10	c.c	c.c	PROPN
fuelectenerg-5933	496	11	.	.	PROPN
fuelectenerg-5933	496	12	tripathi	tripathi	PROPN
fuelectenerg-5933	496	13	,	,	PUNCT
fuelectenerg-5933	496	14	“	"	PUNCT
fuelectenerg-5933	496	15	impedance	impedance	NOUN
fuelectenerg-5933	496	16	matching	matching	NOUN
fuelectenerg-5933	496	17	techniques	technique	NOUN
fuelectenerg-5933	496	18	for	for	ADP
fuelectenerg-5933	496	19	microstrip	microstrip	NOUN
fuelectenerg-5933	496	20	patch	patch	NOUN
fuelectenerg-5933	496	21	antenna	antenna	NOUN
fuelectenerg-5933	496	22	”	"	PUNCT
fuelectenerg-5933	496	23	,	,	PUNCT
fuelectenerg-5933	496	24	indian	indian	ADJ
fuelectenerg-5933	496	25	journal	journal	NOUN
fuelectenerg-5933	496	26	of	of	ADP
fuelectenerg-5933	496	27	science	science	NOUN
fuelectenerg-5933	496	28	and	and	CCONJ
fuelectenerg-5933	496	29	technology	technology	NOUN
fuelectenerg-5933	496	30	,	,	PUNCT
fuelectenerg-5933	496	31	vol	vol	NOUN
fuelectenerg-5933	496	32	.	.	PROPN
fuelectenerg-5933	496	33	10	10	NUM
fuelectenerg-5933	496	34	,	,	PUNCT
fuelectenerg-5933	496	35	no	no	INTJ
fuelectenerg-5933	496	36	.	.	NOUN
fuelectenerg-5933	496	37	28	28	NUM
fuelectenerg-5933	496	38	,	,	PUNCT
fuelectenerg-5933	496	39	16	16	NUM
fuelectenerg-5933	496	40	pp	pp	NOUN
fuelectenerg-5933	496	41	.	.	PUNCT
fuelectenerg-5933	496	42	,	,	PUNCT
fuelectenerg-5933	496	43	july	july	PROPN
fuelectenerg-5933	496	44	2017	2017	NUM
fuelectenerg-5933	496	45	.	.	PUNCT
fuelectenerg-5933	497	1	[	[	X
fuelectenerg-5933	497	2	23	23	NUM
fuelectenerg-5933	497	3	]	]	PUNCT
fuelectenerg-5933	497	4	k.	k.	PROPN
fuelectenerg-5933	497	5	jimisha	jimisha	PROPN
fuelectenerg-5933	497	6	and	and	CCONJ
fuelectenerg-5933	497	7	s.	s.	PROPN
fuelectenerg-5933	497	8	kumar	kumar	PROPN
fuelectenerg-5933	497	9	,	,	PUNCT
fuelectenerg-5933	497	10	“	"	PUNCT
fuelectenerg-5933	497	11	optimum	optimum	ADJ
fuelectenerg-5933	497	12	design	design	NOUN
fuelectenerg-5933	497	13	of	of	ADP
fuelectenerg-5933	497	14	exponentially	exponentially	ADV
fuelectenerg-5933	497	15	varying	vary	VERB
fuelectenerg-5933	497	16	helical	helical	ADJ
fuelectenerg-5933	497	17	antenna	antenna	NOUN
fuelectenerg-5933	497	18	with	with	ADP
fuelectenerg-5933	497	19	non	non	ADJ
fuelectenerg-5933	497	20	uniform	uniform	ADJ
fuelectenerg-5933	497	21	pitch	pitch	NOUN
fuelectenerg-5933	497	22	profile	profile	NOUN
fuelectenerg-5933	497	23	”	"	PUNCT
fuelectenerg-5933	497	24	,	,	PUNCT
fuelectenerg-5933	497	25	international	international	ADJ
fuelectenerg-5933	497	26	conference	conference	NOUN
fuelectenerg-5933	497	27	on	on	ADP
fuelectenerg-5933	497	28	communication	communication	NOUN
fuelectenerg-5933	497	29	computing	computing	NOUN
fuelectenerg-5933	497	30	and	and	CCONJ
fuelectenerg-5933	497	31	security	security	NOUN
fuelectenerg-5933	497	32	,	,	PUNCT
fuelectenerg-5933	497	33	procedia	procedia	NOUN
fuelectenerg-5933	497	34	technology	technology	NOUN
fuelectenerg-5933	497	35	,	,	PUNCT
fuelectenerg-5933	497	36	pp	pp	ADJ
fuelectenerg-5933	497	37	.	.	PUNCT
fuelectenerg-5933	498	1	792–98	792–98	NUM
fuelectenerg-5933	498	2	,	,	PUNCT
fuelectenerg-5933	498	3	june	june	PROPN
fuelectenerg-5933	498	4	2012	2012	NUM
fuelectenerg-5933	498	5	.	.	PUNCT
fuelectenerg-5933	499	1	[	[	X
fuelectenerg-5933	499	2	24	24	NUM
fuelectenerg-5933	499	3	]	]	PUNCT
fuelectenerg-5933	499	4	a.	a.	NOUN
fuelectenerg-5933	499	5	đorđević	đorđević	PROPN
fuelectenerg-5933	499	6	,	,	PUNCT
fuelectenerg-5933	499	7	d.	d.	PROPN
fuelectenerg-5933	499	8	olćan	olćan	PROPN
fuelectenerg-5933	499	9	,	,	PUNCT
fuelectenerg-5933	499	10	m.	m.	NOUN
fuelectenerg-5933	499	11	ilić	ilić	ADJ
fuelectenerg-5933	499	12	and	and	CCONJ
fuelectenerg-5933	499	13	a.	a.	NOUN
fuelectenerg-5933	499	14	zajić	zajić	PROPN
fuelectenerg-5933	499	15	,	,	PUNCT
fuelectenerg-5933	499	16	“	"	PUNCT
fuelectenerg-5933	499	17	design	design	NOUN
fuelectenerg-5933	499	18	of	of	ADP
fuelectenerg-5933	499	19	optimal	optimal	ADJ
fuelectenerg-5933	499	20	ground	ground	NOUN
fuelectenerg-5933	499	21	conductor	conductor	NOUN
fuelectenerg-5933	499	22	for	for	ADP
fuelectenerg-5933	499	23	the	the	DET
fuelectenerg-5933	499	24	helical	helical	ADJ
fuelectenerg-5933	499	25	antenna	antenna	NOUN
fuelectenerg-5933	499	26	”	"	PUNCT
fuelectenerg-5933	499	27	,	,	PUNCT
fuelectenerg-5933	499	28	in	in	ADP
fuelectenerg-5933	499	29	proceedings	proceeding	NOUN
fuelectenerg-5933	499	30	of	of	ADP
fuelectenerg-5933	499	31	the	the	DET
fuelectenerg-5933	499	32	50th	50th	ADJ
fuelectenerg-5933	499	33	etran	etran	ADJ
fuelectenerg-5933	499	34	conference	conference	NOUN
fuelectenerg-5933	499	35	,	,	PUNCT
fuelectenerg-5933	499	36	3	3	NUM
fuelectenerg-5933	499	37	pp	pp	NOUN
fuelectenerg-5933	499	38	.	.	PUNCT
fuelectenerg-5933	499	39	,	,	PUNCT
fuelectenerg-5933	499	40	june	june	PROPN
fuelectenerg-5933	499	41	2006	2006	NUM
fuelectenerg-5933	499	42	.	.	PUNCT
fuelectenerg-5933	500	1	[	[	X
fuelectenerg-5933	500	2	25	25	NUM
fuelectenerg-5933	500	3	]	]	PUNCT
fuelectenerg-5933	500	4	b.	b.	PROPN
fuelectenerg-5933	500	5	slade	slade	PROPN
fuelectenerg-5933	500	6	,	,	PUNCT
fuelectenerg-5933	500	7	“	"	PUNCT
fuelectenerg-5933	500	8	the	the	DET
fuelectenerg-5933	500	9	basics	basic	NOUN
fuelectenerg-5933	500	10	of	of	ADP
fuelectenerg-5933	500	11	quadrifilar	quadrifilar	ADJ
fuelectenerg-5933	500	12	helix	helix	ADJ
fuelectenerg-5933	500	13	antennas	antenna	NOUN
fuelectenerg-5933	500	14	”	"	PUNCT
fuelectenerg-5933	500	15	,	,	PUNCT
fuelectenerg-5933	500	16	technical	technical	ADJ
fuelectenerg-5933	500	17	publication	publication	NOUN
fuelectenerg-5933	500	18	,	,	PUNCT
fuelectenerg-5933	500	19	orban	orban	PROPN
fuelectenerg-5933	500	20	microwave	microwave	PROPN
fuelectenerg-5933	500	21	inc	inc	PROPN
fuelectenerg-5933	500	22	.	.	PROPN
fuelectenerg-5933	500	23	,	,	PUNCT
fuelectenerg-5933	500	24	1834	1834	NUM
fuelectenerg-5933	500	25	n.	n.	NOUN
fuelectenerg-5933	500	26	alafaya	alafaya	PROPN
fuelectenerg-5933	500	27	trl	trl	PROPN
fuelectenerg-5933	500	28	.	.	PUNCT
fuelectenerg-5933	500	29	,	,	PUNCT
fuelectenerg-5933	500	30	suite	suite	PROPN
fuelectenerg-5933	500	31	b	b	PROPN
fuelectenerg-5933	500	32	,	,	PUNCT
fuelectenerg-5933	500	33	orlando	orlando	PROPN
fuelectenerg-5933	500	34	,	,	PUNCT
fuelectenerg-5933	500	35	fl	fl	PROPN
fuelectenerg-5933	500	36	32826	32826	NUM
fuelectenerg-5933	500	37	.	.	PUNCT
fuelectenerg-5933	501	1	[	[	X
fuelectenerg-5933	501	2	26	26	NUM
fuelectenerg-5933	501	3	]	]	PUNCT
fuelectenerg-5933	501	4	m.	m.	NOUN
fuelectenerg-5933	501	5	škiljo	škiljo	NOUN
fuelectenerg-5933	501	6	and	and	CCONJ
fuelectenerg-5933	501	7	z.	z.	PROPN
fuelectenerg-5933	501	8	blažević	blažević	PROPN
fuelectenerg-5933	501	9	,	,	PUNCT
fuelectenerg-5933	501	10	“	"	PUNCT
fuelectenerg-5933	501	11	helical	helical	ADJ
fuelectenerg-5933	501	12	antennas	antenna	NOUN
fuelectenerg-5933	501	13	in	in	ADP
fuelectenerg-5933	501	14	satellite	satellite	NOUN
fuelectenerg-5933	501	15	radio	radio	NOUN
fuelectenerg-5933	501	16	channel	channel	NOUN
fuelectenerg-5933	501	17	”	"	PUNCT
fuelectenerg-5933	501	18	.	.	PUNCT
fuelectenerg-5933	502	1	in	in	ADP
fuelectenerg-5933	502	2	:	:	PUNCT
fuelectenerg-5933	502	3	dr	dr	PROPN
fuelectenerg-5933	502	4	.	.	PROPN
fuelectenerg-5933	502	5	masoumeh	masoumeh	PROPN
fuelectenerg-5933	502	6	karimi	karimi	PROPN
fuelectenerg-5933	502	7	,	,	PUNCT
fuelectenerg-5933	502	8	editor	editor	NOUN
fuelectenerg-5933	502	9	.	.	PUNCT
fuelectenerg-5933	502	10	advances	advance	NOUN
fuelectenerg-5933	502	11	in	in	ADP
fuelectenerg-5933	502	12	satellite	satellite	NOUN
fuelectenerg-5933	502	13	communications	communication	NOUN
fuelectenerg-5933	502	14	.	.	PUNCT