id	sid	tid	token	lemma	pos
fuelectenerg-3305	1	1	2	2	NUM
fuelectenerg-3305	1	2	m.	m.	NOUN
fuelectenerg-3305	1	3	stankovic	stankovic	PROPN
fuelectenerg-3305	1	4	,	,	PUNCT
fuelectenerg-3305	1	5	c.	c.	PROPN
fuelectenerg-3305	1	6	moraga	moraga	PROPN
fuelectenerg-3305	1	7	,	,	PUNCT
fuelectenerg-3305	1	8	r.	r.	PROPN
fuelectenerg-3305	1	9	s.	s.	PROPN
fuelectenerg-3305	1	10	stanković	stanković	PROPN
fuelectenerg-3305	1	11	keywords	keyword	NOUN
fuelectenerg-3305	1	12	:	:	PUNCT
fuelectenerg-3305	1	13	boolean	boolean	ADJ
fuelectenerg-3305	1	14	functions	function	NOUN
fuelectenerg-3305	1	15	,	,	PUNCT
fuelectenerg-3305	1	16	classification	classification	NOUN
fuelectenerg-3305	1	17	,	,	PUNCT
fuelectenerg-3305	1	18	walsh	walsh	PROPN
fuelectenerg-3305	1	19	spectrum	spectrum	PROPN
fuelectenerg-3305	1	20	,	,	PUNCT
fuelectenerg-3305	1	21	invarant	invarant	ADJ
fuelectenerg-3305	1	22	operations	operation	NOUN
fuelectenerg-3305	1	23	.	.	PUNCT
fuelectenerg-3305	2	1	1	1	NUM
fuelectenerg-3305	2	2	introduction	introduction	NOUN
fuelectenerg-3305	2	3	classification	classification	NOUN
fuelectenerg-3305	2	4	of	of	ADP
fuelectenerg-3305	2	5	boolean	boolean	ADJ
fuelectenerg-3305	2	6	functions	function	NOUN
fuelectenerg-3305	2	7	is	be	AUX
fuelectenerg-3305	2	8	a	a	DET
fuelectenerg-3305	2	9	classical	classical	ADJ
fuelectenerg-3305	2	10	and	and	CCONJ
fuelectenerg-3305	2	11	well	well	ADV
fuelectenerg-3305	2	12	explored	explore	VERB
fuelectenerg-3305	2	13	problem	problem	NOUN
fuelectenerg-3305	2	14	in	in	ADP
fuelectenerg-3305	2	15	switching	switch	VERB
fuelectenerg-3305	2	16	theory	theory	NOUN
fuelectenerg-3305	2	17	[	[	X
fuelectenerg-3305	2	18	1	1	NUM
fuelectenerg-3305	2	19	]	]	PUNCT
fuelectenerg-3305	2	20	.	.	PUNCT
fuelectenerg-3305	3	1	boolean	boolean	ADJ
fuelectenerg-3305	3	2	functions	function	NOUN
fuelectenerg-3305	3	3	can	can	AUX
fuelectenerg-3305	3	4	be	be	AUX
fuelectenerg-3305	3	5	classified	classify	VERB
fuelectenerg-3305	3	6	for	for	ADP
fuelectenerg-3305	3	7	different	different	ADJ
fuelectenerg-3305	3	8	purposes	purpose	NOUN
fuelectenerg-3305	3	9	.	.	PUNCT
fuelectenerg-3305	4	1	two	two	NUM
fuelectenerg-3305	4	2	of	of	ADP
fuelectenerg-3305	4	3	them	they	PRON
fuelectenerg-3305	4	4	that	that	PRON
fuelectenerg-3305	4	5	are	be	AUX
fuelectenerg-3305	4	6	most	most	ADV
fuelectenerg-3305	4	7	usually	usually	ADV
fuelectenerg-3305	4	8	reported	report	VERB
fuelectenerg-3305	4	9	,	,	PUNCT
fuelectenerg-3305	4	10	npn	npn	NOUN
fuelectenerg-3305	4	11	and	and	CCONJ
fuelectenerg-3305	4	12	lp	lp	ADJ
fuelectenerg-3305	4	13	classifications	classification	NOUN
fuelectenerg-3305	4	14	,	,	PUNCT
fuelectenerg-3305	4	15	are	be	AUX
fuelectenerg-3305	4	16	related	relate	VERB
fuelectenerg-3305	4	17	to	to	ADP
fuelectenerg-3305	4	18	technology	technology	NOUN
fuelectenerg-3305	4	19	mapping	mapping	NOUN
fuelectenerg-3305	4	20	in	in	ADP
fuelectenerg-3305	4	21	logic	logic	ADJ
fuelectenerg-3305	4	22	synthesis	synthesis	NOUN
fuelectenerg-3305	4	23	with	with	ADP
fuelectenerg-3305	4	24	standard	standard	ADJ
fuelectenerg-3305	4	25	gate	gate	NOUN
fuelectenerg-3305	4	26	libraries	library	NOUN
fuelectenerg-3305	4	27	or	or	CCONJ
fuelectenerg-3305	4	28	in	in	ADP
fuelectenerg-3305	4	29	fpga	fpga	NOUN
fuelectenerg-3305	4	30	synthesis	synthesis	NOUN
fuelectenerg-3305	4	31	and	and	CCONJ
fuelectenerg-3305	4	32	unification	unification	NOUN
fuelectenerg-3305	4	33	and	and	CCONJ
fuelectenerg-3305	4	34	simplification	simplification	NOUN
fuelectenerg-3305	4	35	of	of	ADP
fuelectenerg-3305	4	36	testing	testing	NOUN
fuelectenerg-3305	4	37	procedures	procedure	NOUN
fuelectenerg-3305	4	38	[	[	X
fuelectenerg-3305	4	39	2	2	NUM
fuelectenerg-3305	4	40	]	]	PUNCT
fuelectenerg-3305	4	41	,	,	PUNCT
fuelectenerg-3305	4	42	[	[	X
fuelectenerg-3305	4	43	3	3	NUM
fuelectenerg-3305	4	44	]	]	PUNCT
fuelectenerg-3305	4	45	.	.	PUNCT
fuelectenerg-3305	5	1	classification	classification	NOUN
fuelectenerg-3305	5	2	can	can	AUX
fuelectenerg-3305	5	3	be	be	AUX
fuelectenerg-3305	5	4	performed	perform	VERB
fuelectenerg-3305	5	5	with	with	ADP
fuelectenerg-3305	5	6	respect	respect	NOUN
fuelectenerg-3305	5	7	to	to	ADP
fuelectenerg-3305	5	8	various	various	ADJ
fuelectenerg-3305	5	9	criteria	criterion	NOUN
fuelectenerg-3305	5	10	usually	usually	ADV
fuelectenerg-3305	5	11	appropriately	appropriately	ADV
fuelectenerg-3305	5	12	defined	define	VERB
fuelectenerg-3305	5	13	to	to	PART
fuelectenerg-3305	5	14	serve	serve	VERB
fuelectenerg-3305	5	15	certain	certain	ADJ
fuelectenerg-3305	5	16	application	application	NOUN
fuelectenerg-3305	5	17	purposes	purpose	NOUN
fuelectenerg-3305	5	18	.	.	PUNCT
fuelectenerg-3305	6	1	the	the	DET
fuelectenerg-3305	6	2	present	present	ADJ
fuelectenerg-3305	6	3	interest	interest	NOUN
fuelectenerg-3305	6	4	of	of	ADP
fuelectenerg-3305	6	5	some	some	DET
fuelectenerg-3305	6	6	researchers	researcher	NOUN
fuelectenerg-3305	6	7	in	in	ADP
fuelectenerg-3305	6	8	classification	classification	NOUN
fuelectenerg-3305	6	9	with	with	ADP
fuelectenerg-3305	6	10	respect	respect	NOUN
fuelectenerg-3305	6	11	to	to	ADP
fuelectenerg-3305	6	12	walsh	walsh	PROPN
fuelectenerg-3305	6	13	spectral	spectral	ADJ
fuelectenerg-3305	6	14	coefficients	coefficient	NOUN
fuelectenerg-3305	6	15	,	,	PUNCT
fuelectenerg-3305	6	16	which	which	PRON
fuelectenerg-3305	6	17	we	we	PRON
fuelectenerg-3305	6	18	will	will	AUX
fuelectenerg-3305	6	19	shortly	shortly	ADV
fuelectenerg-3305	6	20	denote	denote	VERB
fuelectenerg-3305	6	21	as	as	ADP
fuelectenerg-3305	6	22	the	the	DET
fuelectenerg-3305	6	23	walsh	walsh	PROPN
fuelectenerg-3305	6	24	classification	classification	NOUN
fuelectenerg-3305	6	25	,	,	PUNCT
fuelectenerg-3305	6	26	is	be	AUX
fuelectenerg-3305	6	27	due	due	ADJ
fuelectenerg-3305	6	28	to	to	ADP
fuelectenerg-3305	6	29	the	the	DET
fuelectenerg-3305	6	30	spectral	spectral	ADJ
fuelectenerg-3305	6	31	characterization	characterization	NOUN
fuelectenerg-3305	6	32	of	of	ADP
fuelectenerg-3305	6	33	some	some	DET
fuelectenerg-3305	6	34	classes	class	NOUN
fuelectenerg-3305	6	35	of	of	ADP
fuelectenerg-3305	6	36	boolean	boolean	ADJ
fuelectenerg-3305	6	37	functions	function	NOUN
fuelectenerg-3305	6	38	used	use	VERB
fuelectenerg-3305	6	39	in	in	ADP
fuelectenerg-3305	6	40	cryptography	cryptography	NOUN
fuelectenerg-3305	6	41	[	[	X
fuelectenerg-3305	6	42	4	4	NUM
fuelectenerg-3305	6	43	]	]	PUNCT
fuelectenerg-3305	6	44	,	,	PUNCT
fuelectenerg-3305	6	45	[	[	X
fuelectenerg-3305	6	46	5	5	NUM
fuelectenerg-3305	6	47	]	]	PUNCT
fuelectenerg-3305	6	48	,	,	PUNCT
fuelectenerg-3305	6	49	[	[	X
fuelectenerg-3305	6	50	6	6	NUM
fuelectenerg-3305	6	51	]	]	PUNCT
fuelectenerg-3305	6	52	,	,	PUNCT
fuelectenerg-3305	6	53	[	[	X
fuelectenerg-3305	6	54	7	7	NUM
fuelectenerg-3305	6	55	]	]	PUNCT
fuelectenerg-3305	6	56	,	,	PUNCT
fuelectenerg-3305	6	57	[	[	X
fuelectenerg-3305	6	58	8	8	NUM
fuelectenerg-3305	6	59	]	]	PUNCT
fuelectenerg-3305	6	60	,	,	PUNCT
fuelectenerg-3305	6	61	[	[	X
fuelectenerg-3305	6	62	9	9	NUM
fuelectenerg-3305	6	63	]	]	PUNCT
fuelectenerg-3305	6	64	.	.	PUNCT
fuelectenerg-3305	7	1	in	in	ADP
fuelectenerg-3305	7	2	particular	particular	ADJ
fuelectenerg-3305	7	3	,	,	PUNCT
fuelectenerg-3305	7	4	bent	bent	ADJ
fuelectenerg-3305	7	5	functions	function	NOUN
fuelectenerg-3305	7	6	[	[	X
fuelectenerg-3305	7	7	10	10	NUM
fuelectenerg-3305	7	8	]	]	PUNCT
fuelectenerg-3305	7	9	which	which	PRON
fuelectenerg-3305	7	10	are	be	AUX
fuelectenerg-3305	7	11	defined	define	VERB
fuelectenerg-3305	7	12	as	as	ADP
fuelectenerg-3305	7	13	boolean	boolean	ADJ
fuelectenerg-3305	7	14	functions	function	NOUN
fuelectenerg-3305	7	15	that	that	PRON
fuelectenerg-3305	7	16	have	have	VERB
fuelectenerg-3305	7	17	maximal	maximal	ADJ
fuelectenerg-3305	7	18	minimum	minimum	ADJ
fuelectenerg-3305	7	19	distance	distance	NOUN
fuelectenerg-3305	7	20	to	to	ADP
fuelectenerg-3305	7	21	the	the	DET
fuelectenerg-3305	7	22	set	set	NOUN
fuelectenerg-3305	7	23	of	of	ADP
fuelectenerg-3305	7	24	affine	affine	NOUN
fuelectenerg-3305	7	25	functions	function	NOUN
fuelectenerg-3305	7	26	,	,	PUNCT
fuelectenerg-3305	7	27	are	be	AUX
fuelectenerg-3305	7	28	alternatively	alternatively	ADV
fuelectenerg-3305	7	29	defined	define	VERB
fuelectenerg-3305	7	30	as	as	ADP
fuelectenerg-3305	7	31	boolean	boolean	ADJ
fuelectenerg-3305	7	32	functions	function	NOUN
fuelectenerg-3305	7	33	with	with	ADP
fuelectenerg-3305	7	34	flat	flat	ADJ
fuelectenerg-3305	7	35	walsh	walsh	NOUN
fuelectenerg-3305	7	36	spectra	spectra	NOUN
fuelectenerg-3305	7	37	,	,	PUNCT
fuelectenerg-3305	7	38	meaning	mean	VERB
fuelectenerg-3305	7	39	that	that	SCONJ
fuelectenerg-3305	7	40	all	all	DET
fuelectenerg-3305	7	41	the	the	DET
fuelectenerg-3305	7	42	walsh	walsh	NOUN
fuelectenerg-3305	7	43	coefficients	coefficient	NOUN
fuelectenerg-3305	7	44	have	have	VERB
fuelectenerg-3305	7	45	the	the	DET
fuelectenerg-3305	7	46	same	same	ADJ
fuelectenerg-3305	7	47	absolute	absolute	ADJ
fuelectenerg-3305	7	48	value	value	NOUN
fuelectenerg-3305	7	49	equal	equal	ADJ
fuelectenerg-3305	7	50	to	to	ADP
fuelectenerg-3305	7	51	2n/2	2n/2	NUM
fuelectenerg-3305	7	52	,	,	PUNCT
fuelectenerg-3305	7	53	where	where	SCONJ
fuelectenerg-3305	7	54	n	n	X
fuelectenerg-3305	7	55	is	be	AUX
fuelectenerg-3305	7	56	the	the	DET
fuelectenerg-3305	7	57	number	number	NOUN
fuelectenerg-3305	7	58	of	of	ADP
fuelectenerg-3305	7	59	variables	variable	NOUN
fuelectenerg-3305	7	60	.	.	PUNCT
fuelectenerg-3305	8	1	this	this	DET
fuelectenerg-3305	8	2	requirement	requirement	NOUN
fuelectenerg-3305	8	3	implies	imply	VERB
fuelectenerg-3305	8	4	that	that	SCONJ
fuelectenerg-3305	8	5	all	all	DET
fuelectenerg-3305	8	6	bent	bent	ADJ
fuelectenerg-3305	8	7	functions	function	NOUN
fuelectenerg-3305	8	8	for	for	ADP
fuelectenerg-3305	8	9	a	a	DET
fuelectenerg-3305	8	10	given	give	VERB
fuelectenerg-3305	8	11	n	n	PRON
fuelectenerg-3305	8	12	belong	belong	VERB
fuelectenerg-3305	8	13	to	to	ADP
fuelectenerg-3305	8	14	the	the	DET
fuelectenerg-3305	8	15	same	same	ADJ
fuelectenerg-3305	8	16	class	class	NOUN
fuelectenerg-3305	8	17	in	in	ADP
fuelectenerg-3305	8	18	the	the	DET
fuelectenerg-3305	8	19	walsh	walsh	NOUN
fuelectenerg-3305	8	20	classification	classification	NOUN
fuelectenerg-3305	8	21	of	of	ADP
fuelectenerg-3305	8	22	boolean	boolean	ADJ
fuelectenerg-3305	8	23	functions	function	NOUN
fuelectenerg-3305	8	24	.	.	PUNCT
fuelectenerg-3305	9	1	this	this	DET
fuelectenerg-3305	9	2	classification	classification	NOUN
fuelectenerg-3305	9	3	has	have	AUX
fuelectenerg-3305	9	4	been	be	AUX
fuelectenerg-3305	9	5	discussed	discuss	VERB
fuelectenerg-3305	9	6	in	in	ADP
fuelectenerg-3305	9	7	a	a	DET
fuelectenerg-3305	9	8	series	series	NOUN
fuelectenerg-3305	9	9	of	of	ADP
fuelectenerg-3305	9	10	papers	paper	NOUN
fuelectenerg-3305	9	11	by	by	ADP
fuelectenerg-3305	9	12	different	different	ADJ
fuelectenerg-3305	9	13	authors	author	NOUN
fuelectenerg-3305	9	14	with	with	ADP
fuelectenerg-3305	9	15	the	the	DET
fuelectenerg-3305	9	16	earliest	early	ADJ
fuelectenerg-3305	9	17	of	of	ADP
fuelectenerg-3305	9	18	them	they	PRON
fuelectenerg-3305	9	19	published	publish	VERB
fuelectenerg-3305	9	20	in	in	ADP
fuelectenerg-3305	9	21	the	the	DET
fuelectenerg-3305	9	22	1970	1970	NUM
fuelectenerg-3305	9	23	’s	’s	NOUN
fuelectenerg-3305	9	24	,	,	PUNCT
fuelectenerg-3305	9	25	[	[	X
fuelectenerg-3305	9	26	11	11	NUM
fuelectenerg-3305	9	27	]	]	PUNCT
fuelectenerg-3305	9	28	,	,	PUNCT
fuelectenerg-3305	9	29	[	[	X
fuelectenerg-3305	9	30	12	12	NUM
fuelectenerg-3305	9	31	]	]	PUNCT
fuelectenerg-3305	9	32	,	,	PUNCT
fuelectenerg-3305	9	33	[	[	X
fuelectenerg-3305	9	34	13	13	NUM
fuelectenerg-3305	9	35	]	]	PUNCT
fuelectenerg-3305	9	36	.	.	PUNCT
fuelectenerg-3305	10	1	in	in	ADP
fuelectenerg-3305	10	2	this	this	DET
fuelectenerg-3305	10	3	classification	classification	NOUN
fuelectenerg-3305	10	4	,	,	PUNCT
fuelectenerg-3305	10	5	boolean	boolean	ADJ
fuelectenerg-3305	10	6	functions	function	NOUN
fuelectenerg-3305	10	7	are	be	AUX
fuelectenerg-3305	10	8	split	split	VERB
fuelectenerg-3305	10	9	into	into	ADP
fuelectenerg-3305	10	10	classes	class	NOUN
fuelectenerg-3305	10	11	satisfying	satisfy	VERB
fuelectenerg-3305	10	12	certain	certain	ADJ
fuelectenerg-3305	10	13	conditions	condition	NOUN
fuelectenerg-3305	10	14	imposed	impose	VERB
fuelectenerg-3305	10	15	on	on	ADP
fuelectenerg-3305	10	16	elements	element	NOUN
fuelectenerg-3305	10	17	of	of	ADP
fuelectenerg-3305	10	18	appropriately	appropriately	ADV
fuelectenerg-3305	10	19	defined	define	VERB
fuelectenerg-3305	10	20	canonic	canonic	ADJ
fuelectenerg-3305	10	21	vectors	vector	NOUN
fuelectenerg-3305	10	22	specified	specify	VERB
fuelectenerg-3305	10	23	in	in	ADP
fuelectenerg-3305	10	24	terms	term	NOUN
fuelectenerg-3305	10	25	of	of	ADP
fuelectenerg-3305	10	26	their	their	PRON
fuelectenerg-3305	10	27	walsh	walsh	NOUN
fuelectenerg-3305	10	28	spectra	spectra	NOUN
fuelectenerg-3305	10	29	as	as	SCONJ
fuelectenerg-3305	10	30	it	it	PRON
fuelectenerg-3305	10	31	will	will	AUX
fuelectenerg-3305	10	32	be	be	AUX
fuelectenerg-3305	10	33	discussed	discuss	VERB
fuelectenerg-3305	10	34	bellow	bellow	ADJ
fuelectenerg-3305	10	35	.	.	PUNCT
fuelectenerg-3305	11	1	functions	function	NOUN
fuelectenerg-3305	11	2	belonging	belong	VERB
fuelectenerg-3305	11	3	to	to	ADP
fuelectenerg-3305	11	4	the	the	DET
fuelectenerg-3305	11	5	same	same	ADJ
fuelectenerg-3305	11	6	class	class	NOUN
fuelectenerg-3305	11	7	are	be	AUX
fuelectenerg-3305	11	8	converted	convert	VERB
fuelectenerg-3305	11	9	to	to	ADP
fuelectenerg-3305	11	10	each	each	DET
fuelectenerg-3305	11	11	other	other	ADJ
fuelectenerg-3305	11	12	by	by	ADP
fuelectenerg-3305	11	13	certain	certain	ADJ
fuelectenerg-3305	11	14	operations	operation	NOUN
fuelectenerg-3305	11	15	that	that	SCONJ
fuelectenerg-3305	11	16	we	we	PRON
fuelectenerg-3305	11	17	will	will	AUX
fuelectenerg-3305	11	18	call	call	VERB
fuelectenerg-3305	11	19	affine	affine	ADJ
fuelectenerg-3305	11	20	spectral	spectral	ADJ
fuelectenerg-3305	11	21	invariant	invariant	ADJ
fuelectenerg-3305	11	22	operations	operation	NOUN
fuelectenerg-3305	11	23	.	.	PUNCT
fuelectenerg-3305	12	1	in	in	ADP
fuelectenerg-3305	12	2	the	the	DET
fuelectenerg-3305	12	3	boolean	boolean	ADJ
fuelectenerg-3305	12	4	domain	domain	NOUN
fuelectenerg-3305	12	5	,	,	PUNCT
fuelectenerg-3305	12	6	these	these	PRON
fuelectenerg-3305	12	7	are	be	AUX
fuelectenerg-3305	12	8	affine	affine	ADJ
fuelectenerg-3305	12	9	operations	operation	NOUN
fuelectenerg-3305	12	10	over	over	ADP
fuelectenerg-3305	12	11	boolean	boolean	ADJ
fuelectenerg-3305	12	12	variables	variable	NOUN
fuelectenerg-3305	12	13	and	and	CCONJ
fuelectenerg-3305	12	14	function	function	NOUN
fuelectenerg-3305	12	15	values	value	NOUN
fuelectenerg-3305	12	16	,	,	PUNCT
fuelectenerg-3305	12	17	which	which	PRON
fuelectenerg-3305	12	18	in	in	ADP
fuelectenerg-3305	12	19	the	the	DET
fuelectenerg-3305	12	20	spectral	spectral	ADJ
fuelectenerg-3305	12	21	domain	domain	NOUN
fuelectenerg-3305	12	22	result	result	NOUN
fuelectenerg-3305	12	23	in	in	ADP
fuelectenerg-3305	12	24	permutation	permutation	NOUN
fuelectenerg-3305	12	25	and	and	CCONJ
fuelectenerg-3305	12	26	sign	sign	VERB
fuelectenerg-3305	12	27	changes	change	NOUN
fuelectenerg-3305	12	28	of	of	ADP
fuelectenerg-3305	12	29	walsh	walsh	NOUN
fuelectenerg-3305	12	30	coefficients	coefficient	NOUN
fuelectenerg-3305	12	31	but	but	CCONJ
fuelectenerg-3305	12	32	preserving	preserve	VERB
fuelectenerg-3305	12	33	their	their	PRON
fuelectenerg-3305	12	34	absolute	absolute	ADJ
fuelectenerg-3305	12	35	values	value	NOUN
fuelectenerg-3305	12	36	.	.	PUNCT
fuelectenerg-3305	13	1	it	it	PRON
fuelectenerg-3305	13	2	was	be	AUX
fuelectenerg-3305	13	3	observed	observe	VERB
fuelectenerg-3305	13	4	already	already	ADV
fuelectenerg-3305	13	5	in	in	ADP
fuelectenerg-3305	13	6	the	the	DET
fuelectenerg-3305	13	7	early	early	ADJ
fuelectenerg-3305	13	8	publications	publication	NOUN
fuelectenerg-3305	13	9	,	,	PUNCT
fuelectenerg-3305	13	10	when	when	SCONJ
fuelectenerg-3305	13	11	the	the	DET
fuelectenerg-3305	13	12	analysis	analysis	NOUN
fuelectenerg-3305	13	13	was	be	AUX
fuelectenerg-3305	13	14	restricted	restrict	VERB
fuelectenerg-3305	13	15	to	to	PART
fuelectenerg-3305	13	16	functions	function	NOUN
fuelectenerg-3305	13	17	up	up	ADP
fuelectenerg-3305	13	18	to	to	PART
fuelectenerg-3305	13	19	5	5	NUM
fuelectenerg-3305	13	20	variables	variable	NOUN
fuelectenerg-3305	13	21	,	,	PUNCT
fuelectenerg-3305	13	22	that	that	SCONJ
fuelectenerg-3305	13	23	there	there	PRON
fuelectenerg-3305	13	24	is	be	VERB
fuelectenerg-3305	13	25	some	some	DET
fuelectenerg-3305	13	26	inconsistency	inconsistency	NOUN
fuelectenerg-3305	13	27	when	when	SCONJ
fuelectenerg-3305	13	28	the	the	DET
fuelectenerg-3305	13	29	considerations	consideration	NOUN
fuelectenerg-3305	13	30	are	be	AUX
fuelectenerg-3305	13	31	restricted	restrict	VERB
fuelectenerg-3305	13	32	to	to	ADP
fuelectenerg-3305	13	33	the	the	DET
fuelectenerg-3305	13	34	realms	realm	NOUN
fuelectenerg-3305	13	35	of	of	ADP
fuelectenerg-3305	13	36	affine	affine	NOUN
fuelectenerg-3305	13	37	spectral	spectral	ADJ
fuelectenerg-3305	13	38	invariant	invariant	ADJ
fuelectenerg-3305	13	39	operations	operation	NOUN
fuelectenerg-3305	13	40	.	.	PUNCT
fuelectenerg-3305	14	1	starting	start	VERB
fuelectenerg-3305	14	2	from	from	ADP
fuelectenerg-3305	14	3	functions	function	NOUN
fuelectenerg-3305	14	4	of	of	ADP
fuelectenerg-3305	14	5	five	five	NUM
fuelectenerg-3305	14	6	variables	variable	NOUN
fuelectenerg-3305	14	7	,	,	PUNCT
fuelectenerg-3305	14	8	two	two	NUM
fuelectenerg-3305	14	9	different	different	ADJ
fuelectenerg-3305	14	10	classes	class	NOUN
fuelectenerg-3305	14	11	of	of	ADP
fuelectenerg-3305	14	12	functions	function	NOUN
fuelectenerg-3305	14	13	with	with	ADP
fuelectenerg-3305	14	14	flat	flat	ADJ
fuelectenerg-3305	14	15	spectra	spectra	NOUN
fuelectenerg-3305	14	16	have	have	VERB
fuelectenerg-3305	14	17	to	to	PART
fuelectenerg-3305	14	18	be	be	AUX
fuelectenerg-3305	14	19	considered	consider	VERB
fuelectenerg-3305	14	20	[	[	PUNCT
fuelectenerg-3305	14	21	12	12	NUM
fuelectenerg-3305	14	22	]	]	PUNCT
fuelectenerg-3305	14	23	,	,	PUNCT
fuelectenerg-3305	14	24	since	since	SCONJ
fuelectenerg-3305	14	25	functions	function	NOUN
fuelectenerg-3305	14	26	although	although	SCONJ
fuelectenerg-3305	14	27	satisfying	satisfy	VERB
fuelectenerg-3305	14	28	the	the	DET
fuelectenerg-3305	14	29	required	require	VERB
fuelectenerg-3305	14	30	conditions	condition	NOUN
fuelectenerg-3305	14	31	over	over	ADP
fuelectenerg-3305	14	32	canonic	canonic	ADJ
fuelectenerg-3305	14	33	vectors	vector	NOUN
fuelectenerg-3305	14	34	for	for	ADP
fuelectenerg-3305	14	35	being	be	AUX
fuelectenerg-3305	14	36	members	member	NOUN
fuelectenerg-3305	14	37	of	of	ADP
fuelectenerg-3305	14	38	the	the	DET
fuelectenerg-3305	14	39	class	class	NOUN
fuelectenerg-3305	14	40	with	with	ADP
fuelectenerg-3305	14	41	flat	flat	ADJ
fuelectenerg-3305	14	42	spectra	spectra	NOUN
fuelectenerg-3305	14	43	,	,	PUNCT
fuelectenerg-3305	14	44	can	can	AUX
fuelectenerg-3305	14	45	not	not	PART
fuelectenerg-3305	14	46	be	be	AUX
fuelectenerg-3305	14	47	converted	convert	VERB
fuelectenerg-3305	14	48	to	to	ADP
fuelectenerg-3305	14	49	each	each	DET
fuelectenerg-3305	14	50	facta	facta	NOUN
fuelectenerg-3305	14	51	universitatis	universitatis	PROPN
fuelectenerg-3305	14	52	series	series	NOUN
fuelectenerg-3305	14	53	:	:	PUNCT
fuelectenerg-3305	14	54	electronics	electronic	NOUN
fuelectenerg-3305	14	55	and	and	CCONJ
fuelectenerg-3305	14	56	energetics	energetics	NOUN
fuelectenerg-3305	14	57	vol	vol	NOUN
fuelectenerg-3305	14	58	.	.	PUNCT
fuelectenerg-3305	15	1	31	31	NUM
fuelectenerg-3305	15	2	,	,	PUNCT
fuelectenerg-3305	15	3	no	no	DET
fuelectenerg-3305	15	4	2	2	NUM
fuelectenerg-3305	15	5	,	,	PUNCT
fuelectenerg-3305	15	6	june	june	PROPN
fuelectenerg-3305	15	7	2018	2018	NUM
fuelectenerg-3305	15	8	,	,	PUNCT
fuelectenerg-3305	15	9	pp	pp	ADV
fuelectenerg-3305	15	10	.	.	PUNCT
fuelectenerg-3305	16	1	189	189	NUM
fuelectenerg-3305	16	2	205	205	NUM
fuelectenerg-3305	16	3	https://doi.org/10.2298/fuee1802189s	https://doi.org/10.2298/fuee1802189s	PROPN
fuelectenerg-3305	16	4	milena	milena	NOUN
fuelectenerg-3305	16	5	stanković1	stanković1	PROPN
fuelectenerg-3305	16	6	,	,	PUNCT
fuelectenerg-3305	16	7	claudio	claudio	PROPN
fuelectenerg-3305	16	8	moraga2	moraga2	PROPN
fuelectenerg-3305	16	9	,	,	PUNCT
fuelectenerg-3305	16	10	radomir	radomir	PROPN
fuelectenerg-3305	16	11	s.	s.	PROPN
fuelectenerg-3305	16	12	stanković1	stanković1	PROPN
fuelectenerg-3305	16	13	received	receive	VERB
fuelectenerg-3305	16	14	october	october	PROPN
fuelectenerg-3305	16	15	21	21	NUM
fuelectenerg-3305	16	16	,	,	PUNCT
fuelectenerg-3305	16	17	2017	2017	NUM
fuelectenerg-3305	16	18	;	;	PUNCT
fuelectenerg-3305	16	19	received	receive	VERB
fuelectenerg-3305	16	20	in	in	ADP
fuelectenerg-3305	16	21	revised	revise	VERB
fuelectenerg-3305	16	22	form	form	NOUN
fuelectenerg-3305	16	23	february	february	PROPN
fuelectenerg-3305	16	24	6	6	NUM
fuelectenerg-3305	16	25	,	,	PUNCT
fuelectenerg-3305	16	26	2018	2018	NUM
fuelectenerg-3305	16	27	corresponding	correspond	VERB
fuelectenerg-3305	16	28	author	author	NOUN
fuelectenerg-3305	16	29	:	:	PUNCT
fuelectenerg-3305	16	30	milena	milena	NOUN
fuelectenerg-3305	16	31	stanković	stanković	NOUN
fuelectenerg-3305	16	32	faculty	faculty	NOUN
fuelectenerg-3305	16	33	of	of	ADP
fuelectenerg-3305	16	34	electronic	electronic	ADJ
fuelectenerg-3305	16	35	engineering	engineering	NOUN
fuelectenerg-3305	16	36	,	,	PUNCT
fuelectenerg-3305	16	37	university	university	PROPN
fuelectenerg-3305	16	38	of	of	ADP
fuelectenerg-3305	16	39	niš	niš	PROPN
fuelectenerg-3305	16	40	,	,	PUNCT
fuelectenerg-3305	16	41	medevedeva	medevedeva	VERB
fuelectenerg-3305	16	42	14	14	NUM
fuelectenerg-3305	16	43	,	,	PUNCT
fuelectenerg-3305	16	44	18000	18000	NUM
fuelectenerg-3305	16	45	niš	niš	NOUN
fuelectenerg-3305	16	46	,	,	PUNCT
fuelectenerg-3305	16	47	serbia	serbia	PROPN
fuelectenerg-3305	16	48	(	(	PUNCT
fuelectenerg-3305	16	49	e	e	NOUN
fuelectenerg-3305	16	50	-	-	NOUN
fuelectenerg-3305	16	51	mail	mail	NOUN
fuelectenerg-3305	16	52	:	:	PUNCT
fuelectenerg-3305	16	53	milena.stankovic@elfak.ni.ac.rs	milena.stankovic@elfak.ni.ac.rs	X
fuelectenerg-3305	16	54	)	)	PUNCT
fuelectenerg-3305	16	55	*	*	PUNCT
fuelectenerg-3305	16	56	an	an	DET
fuelectenerg-3305	16	57	earlier	early	ADJ
fuelectenerg-3305	16	58	version	version	NOUN
fuelectenerg-3305	16	59	of	of	ADP
fuelectenerg-3305	16	60	this	this	DET
fuelectenerg-3305	16	61	paper	paper	NOUN
fuelectenerg-3305	16	62	was	be	AUX
fuelectenerg-3305	16	63	presented	present	VERB
fuelectenerg-3305	16	64	as	as	ADP
fuelectenerg-3305	16	65	an	an	DET
fuelectenerg-3305	16	66	invited	invite	VERB
fuelectenerg-3305	16	67	address	address	NOUN
fuelectenerg-3305	16	68	at	at	ADP
fuelectenerg-3305	16	69	the	the	DET
fuelectenerg-3305	16	70	reed	reed	NOUN
fuelectenerg-3305	16	71	-	-	PUNCT
fuelectenerg-3305	16	72	muller	muller	NOUN
fuelectenerg-3305	16	73	2017	2017	NUM
fuelectenerg-3305	16	74	workshop	workshop	NOUN
fuelectenerg-3305	16	75	,	,	PUNCT
fuelectenerg-3305	16	76	novi	novi	PROPN
fuelectenerg-3305	16	77	sad	sad	PROPN
fuelectenerg-3305	16	78	,	,	PUNCT
fuelectenerg-3305	16	79	serbia	serbia	PROPN
fuelectenerg-3305	16	80	,	,	PUNCT
fuelectenerg-3305	16	81	may	may	AUX
fuelectenerg-3305	16	82	24	24	NUM
fuelectenerg-3305	16	83	-	-	SYM
fuelectenerg-3305	16	84	25	25	NUM
fuelectenerg-3305	16	85	,	,	PUNCT
fuelectenerg-3305	16	86	2017	2017	NUM
fuelectenerg-3305	16	87	facta	facta	NOUN
fuelectenerg-3305	16	88	universitatis	universitatis	PROPN
fuelectenerg-3305	16	89	series	series	NOUN
fuelectenerg-3305	16	90	:	:	PUNCT
fuelectenerg-3305	16	91	electronics	electronic	NOUN
fuelectenerg-3305	16	92	and	and	CCONJ
fuelectenerg-3305	16	93	energetics	energetics	NOUN
fuelectenerg-3305	16	94	vol	vol	NOUN
fuelectenerg-3305	16	95	.	.	PUNCT
fuelectenerg-3305	17	1	28	28	NUM
fuelectenerg-3305	17	2	,	,	PUNCT
fuelectenerg-3305	17	3	no	no	DET
fuelectenerg-3305	17	4	4	4	NUM
fuelectenerg-3305	17	5	,	,	PUNCT
fuelectenerg-3305	17	6	december	december	PROPN
fuelectenerg-3305	17	7	2015	2015	NUM
fuelectenerg-3305	17	8	,	,	PUNCT
fuelectenerg-3305	17	9	pp	pp	ADJ
fuelectenerg-3305	17	10	.	.	PUNCT
fuelectenerg-3305	18	1	507	507	NUM
fuelectenerg-3305	18	2	525	525	NUM
fuelectenerg-3305	18	3	doi	doi	NOUN
fuelectenerg-3305	18	4	:	:	PUNCT
fuelectenerg-3305	18	5	10.2298	10.2298	NUM
fuelectenerg-3305	18	6	/	/	SYM
fuelectenerg-3305	18	7	fuee1504507s	fuee1504507	VERB
fuelectenerg-3305	18	8	horizontal	horizontal	ADJ
fuelectenerg-3305	18	9	current	current	ADJ
fuelectenerg-3305	18	10	bipolar	bipolar	ADJ
fuelectenerg-3305	18	11	transistor	transistor	NOUN
fuelectenerg-3305	18	12	(	(	PUNCT
fuelectenerg-3305	18	13	hcbt	hcbt	NOUN
fuelectenerg-3305	18	14	)	)	PUNCT
fuelectenerg-3305	18	15	–	–	PUNCT
fuelectenerg-3305	18	16	a	a	DET
fuelectenerg-3305	18	17	low	low	ADJ
fuelectenerg-3305	18	18	-	-	PUNCT
fuelectenerg-3305	18	19	cost	cost	NOUN
fuelectenerg-3305	18	20	,	,	PUNCT
fuelectenerg-3305	18	21	high	high	ADJ
fuelectenerg-3305	18	22	-	-	PUNCT
fuelectenerg-3305	18	23	performance	performance	NOUN
fuelectenerg-3305	18	24	flexible	flexible	ADJ
fuelectenerg-3305	18	25	bicmos	bicmos	PROPN
fuelectenerg-3305	18	26	technology	technology	PROPN
fuelectenerg-3305	18	27	for	for	ADP
fuelectenerg-3305	18	28	rf	rf	NOUN
fuelectenerg-3305	18	29	communication	communication	NOUN
fuelectenerg-3305	18	30	applications	applications	X
fuelectenerg-3305	18	31	tomislav	tomislav	PROPN
fuelectenerg-3305	18	32	suligoj1	suligoj1	PROPN
fuelectenerg-3305	18	33	,	,	PUNCT
fuelectenerg-3305	18	34	marko	marko	PROPN
fuelectenerg-3305	18	35	koričić1	koričić1	PROPN
fuelectenerg-3305	18	36	,	,	PUNCT
fuelectenerg-3305	18	37	josip	josip	PROPN
fuelectenerg-3305	18	38	žilak1	žilak1	PROPN
fuelectenerg-3305	18	39	,	,	PUNCT
fuelectenerg-3305	18	40	hidenori	hidenori	PROPN
fuelectenerg-3305	18	41	mochizuki2	mochizuki2	PROPN
fuelectenerg-3305	18	42	,	,	PUNCT
fuelectenerg-3305	18	43	so	so	ADV
fuelectenerg-3305	18	44	-	-	PUNCT
fuelectenerg-3305	18	45	ichi	ichi	ADJ
fuelectenerg-3305	18	46	morita2	morita2	NOUN
fuelectenerg-3305	18	47	,	,	PUNCT
fuelectenerg-3305	18	48	katsumi	katsumi	PROPN
fuelectenerg-3305	18	49	shinomura2	shinomura2	PROPN
fuelectenerg-3305	18	50	,	,	PUNCT
fuelectenerg-3305	18	51	hisaya	hisaya	NOUN
fuelectenerg-3305	18	52	imai2	imai2	PROPN
fuelectenerg-3305	18	53	1university	1university	NUM
fuelectenerg-3305	18	54	of	of	ADP
fuelectenerg-3305	18	55	zagreb	zagreb	PROPN
fuelectenerg-3305	18	56	,	,	PUNCT
fuelectenerg-3305	18	57	faculty	faculty	NOUN
fuelectenerg-3305	18	58	of	of	ADP
fuelectenerg-3305	18	59	electrical	electrical	ADJ
fuelectenerg-3305	18	60	engineering	engineering	NOUN
fuelectenerg-3305	18	61	and	and	CCONJ
fuelectenerg-3305	18	62	computing	computing	NOUN
fuelectenerg-3305	18	63	,	,	PUNCT
fuelectenerg-3305	18	64	department	department	NOUN
fuelectenerg-3305	18	65	of	of	ADP
fuelectenerg-3305	18	66	electronics	electronic	NOUN
fuelectenerg-3305	18	67	,	,	PUNCT
fuelectenerg-3305	18	68	microand	microand	NOUN
fuelectenerg-3305	18	69	nano	nano	NOUN
fuelectenerg-3305	18	70	-	-	PUNCT
fuelectenerg-3305	18	71	electronics	electronic	NOUN
fuelectenerg-3305	18	72	laboratory	laboratory	NOUN
fuelectenerg-3305	18	73	,	,	PUNCT
fuelectenerg-3305	18	74	croatia	croatia	PROPN
fuelectenerg-3305	18	75	2asahi	2asahi	PROPN
fuelectenerg-3305	18	76	kasei	kasei	PROPN
fuelectenerg-3305	18	77	microdevices	microdevices	PROPN
fuelectenerg-3305	18	78	co.	co.	PROPN
fuelectenerg-3305	18	79	5	5	NUM
fuelectenerg-3305	18	80	-	-	SYM
fuelectenerg-3305	18	81	4960	4960	NUM
fuelectenerg-3305	18	82	,	,	PUNCT
fuelectenerg-3305	18	83	nobeoka	nobeoka	NOUN
fuelectenerg-3305	18	84	,	,	PUNCT
fuelectenerg-3305	18	85	miyazaki	miyazaki	PROPN
fuelectenerg-3305	18	86	,	,	PUNCT
fuelectenerg-3305	18	87	882	882	NUM
fuelectenerg-3305	18	88	-	-	SYM
fuelectenerg-3305	18	89	0031	0031	NUM
fuelectenerg-3305	18	90	,	,	PUNCT
fuelectenerg-3305	18	91	japan	japan	PROPN
fuelectenerg-3305	18	92	abstract	abstract	PROPN
fuelectenerg-3305	18	93	.	.	PUNCT
fuelectenerg-3305	19	1	in	in	ADP
fuelectenerg-3305	19	2	an	an	DET
fuelectenerg-3305	19	3	overview	overview	NOUN
fuelectenerg-3305	19	4	of	of	ADP
fuelectenerg-3305	19	5	horizontal	horizontal	ADJ
fuelectenerg-3305	19	6	current	current	ADJ
fuelectenerg-3305	19	7	bipolar	bipolar	ADJ
fuelectenerg-3305	19	8	transistor	transistor	NOUN
fuelectenerg-3305	19	9	(	(	PUNCT
fuelectenerg-3305	19	10	hcbt	hcbt	NOUN
fuelectenerg-3305	19	11	)	)	PUNCT
fuelectenerg-3305	19	12	technology	technology	NOUN
fuelectenerg-3305	19	13	,	,	PUNCT
fuelectenerg-3305	19	14	the	the	DET
fuelectenerg-3305	19	15	state	state	NOUN
fuelectenerg-3305	19	16	-	-	PUNCT
fuelectenerg-3305	19	17	of	of	ADP
fuelectenerg-3305	19	18	-	-	PUNCT
fuelectenerg-3305	19	19	the	the	DET
fuelectenerg-3305	19	20	-	-	PUNCT
fuelectenerg-3305	19	21	art	art	NOUN
fuelectenerg-3305	19	22	integrated	integrate	VERB
fuelectenerg-3305	19	23	silicon	silicon	NOUN
fuelectenerg-3305	19	24	bipolar	bipolar	ADJ
fuelectenerg-3305	19	25	transistors	transistor	NOUN
fuelectenerg-3305	19	26	are	be	AUX
fuelectenerg-3305	19	27	described	describe	VERB
fuelectenerg-3305	19	28	which	which	PRON
fuelectenerg-3305	19	29	exhibit	exhibit	VERB
fuelectenerg-3305	19	30	ft	ft	PROPN
fuelectenerg-3305	19	31	and	and	CCONJ
fuelectenerg-3305	19	32	fmax	fmax	PROPN
fuelectenerg-3305	19	33	of	of	ADP
fuelectenerg-3305	19	34	51	51	NUM
fuelectenerg-3305	19	35	ghz	ghz	NOUN
fuelectenerg-3305	19	36	and	and	CCONJ
fuelectenerg-3305	19	37	61	61	NUM
fuelectenerg-3305	19	38	ghz	ghz	NOUN
fuelectenerg-3305	19	39	and	and	CCONJ
fuelectenerg-3305	19	40	ftbvceo	ftbvceo	ADJ
fuelectenerg-3305	19	41	product	product	NOUN
fuelectenerg-3305	19	42	of	of	ADP
fuelectenerg-3305	19	43	173	173	NUM
fuelectenerg-3305	19	44	ghzv	ghzv	NOUN
fuelectenerg-3305	19	45	that	that	PRON
fuelectenerg-3305	19	46	are	be	AUX
fuelectenerg-3305	19	47	among	among	ADP
fuelectenerg-3305	19	48	the	the	DET
fuelectenerg-3305	19	49	highest	high	ADJ
fuelectenerg-3305	19	50	-	-	PUNCT
fuelectenerg-3305	19	51	performance	performance	NOUN
fuelectenerg-3305	19	52	implanted	implant	VERB
fuelectenerg-3305	19	53	-	-	PUNCT
fuelectenerg-3305	19	54	base	base	NOUN
fuelectenerg-3305	19	55	,	,	PUNCT
fuelectenerg-3305	19	56	silicon	silicon	NOUN
fuelectenerg-3305	19	57	bipolar	bipolar	ADJ
fuelectenerg-3305	19	58	transistors	transistor	NOUN
fuelectenerg-3305	19	59	.	.	PUNCT
fuelectenerg-3305	20	1	hbct	hbct	ADV
fuelectenerg-3305	20	2	is	be	AUX
fuelectenerg-3305	20	3	integrated	integrate	VERB
fuelectenerg-3305	20	4	with	with	ADP
fuelectenerg-3305	20	5	cmos	cmos	PROPN
fuelectenerg-3305	20	6	in	in	ADP
fuelectenerg-3305	20	7	a	a	DET
fuelectenerg-3305	20	8	considerably	considerably	ADV
fuelectenerg-3305	20	9	lower	low	ADJ
fuelectenerg-3305	20	10	-	-	PUNCT
fuelectenerg-3305	20	11	cost	cost	NOUN
fuelectenerg-3305	20	12	fabrication	fabrication	NOUN
fuelectenerg-3305	20	13	sequence	sequence	NOUN
fuelectenerg-3305	20	14	as	as	ADP
fuelectenerg-3305	20	15	compared	compare	VERB
fuelectenerg-3305	20	16	to	to	ADP
fuelectenerg-3305	20	17	standard	standard	ADJ
fuelectenerg-3305	20	18	vertical	vertical	ADJ
fuelectenerg-3305	20	19	-	-	PUNCT
fuelectenerg-3305	20	20	current	current	ADJ
fuelectenerg-3305	20	21	bipolar	bipolar	ADJ
fuelectenerg-3305	20	22	transistors	transistor	NOUN
fuelectenerg-3305	20	23	with	with	ADP
fuelectenerg-3305	20	24	only	only	ADV
fuelectenerg-3305	20	25	2	2	NUM
fuelectenerg-3305	20	26	or	or	CCONJ
fuelectenerg-3305	20	27	3	3	NUM
fuelectenerg-3305	20	28	additional	additional	ADJ
fuelectenerg-3305	20	29	masks	mask	NOUN
fuelectenerg-3305	20	30	and	and	CCONJ
fuelectenerg-3305	20	31	fewer	few	ADJ
fuelectenerg-3305	20	32	process	process	NOUN
fuelectenerg-3305	20	33	steps	step	NOUN
fuelectenerg-3305	20	34	.	.	PUNCT
fuelectenerg-3305	21	1	due	due	ADP
fuelectenerg-3305	21	2	to	to	ADP
fuelectenerg-3305	21	3	its	its	PRON
fuelectenerg-3305	21	4	specific	specific	ADJ
fuelectenerg-3305	21	5	structure	structure	NOUN
fuelectenerg-3305	21	6	,	,	PUNCT
fuelectenerg-3305	21	7	the	the	DET
fuelectenerg-3305	21	8	charge	charge	NOUN
fuelectenerg-3305	21	9	sharing	sharing	NOUN
fuelectenerg-3305	21	10	effect	effect	NOUN
fuelectenerg-3305	21	11	can	can	AUX
fuelectenerg-3305	21	12	be	be	AUX
fuelectenerg-3305	21	13	employed	employ	VERB
fuelectenerg-3305	21	14	to	to	PART
fuelectenerg-3305	21	15	increase	increase	VERB
fuelectenerg-3305	21	16	bvceo	bvceo	ADV
fuelectenerg-3305	21	17	without	without	ADP
fuelectenerg-3305	21	18	sacrificing	sacrifice	VERB
fuelectenerg-3305	21	19	ft	ft	X
fuelectenerg-3305	21	20	and	and	CCONJ
fuelectenerg-3305	21	21	fmax	fmax	PROPN
fuelectenerg-3305	21	22	.	.	PUNCT
fuelectenerg-3305	22	1	moreover	moreover	ADV
fuelectenerg-3305	22	2	,	,	PUNCT
fuelectenerg-3305	22	3	the	the	DET
fuelectenerg-3305	22	4	electric	electric	ADJ
fuelectenerg-3305	22	5	field	field	NOUN
fuelectenerg-3305	22	6	can	can	AUX
fuelectenerg-3305	22	7	be	be	AUX
fuelectenerg-3305	22	8	engineered	engineer	VERB
fuelectenerg-3305	22	9	just	just	ADV
fuelectenerg-3305	22	10	by	by	ADP
fuelectenerg-3305	22	11	manipulating	manipulate	VERB
fuelectenerg-3305	22	12	the	the	DET
fuelectenerg-3305	22	13	lithography	lithography	NOUN
fuelectenerg-3305	22	14	masks	mask	NOUN
fuelectenerg-3305	22	15	achieving	achieve	VERB
fuelectenerg-3305	22	16	the	the	DET
fuelectenerg-3305	22	17	high	high	ADJ
fuelectenerg-3305	22	18	-	-	PUNCT
fuelectenerg-3305	22	19	voltage	voltage	NOUN
fuelectenerg-3305	22	20	hcbts	hcbt	NOUN
fuelectenerg-3305	22	21	with	with	ADP
fuelectenerg-3305	22	22	breakdowns	breakdown	NOUN
fuelectenerg-3305	22	23	up	up	ADP
fuelectenerg-3305	22	24	to	to	PART
fuelectenerg-3305	22	25	36	36	NUM
fuelectenerg-3305	22	26	v	v	NOUN
fuelectenerg-3305	22	27	integrated	integrate	VERB
fuelectenerg-3305	22	28	in	in	ADP
fuelectenerg-3305	22	29	the	the	DET
fuelectenerg-3305	22	30	same	same	ADJ
fuelectenerg-3305	22	31	process	process	NOUN
fuelectenerg-3305	22	32	flow	flow	NOUN
fuelectenerg-3305	22	33	with	with	ADP
fuelectenerg-3305	22	34	high	high	ADJ
fuelectenerg-3305	22	35	-	-	PUNCT
fuelectenerg-3305	22	36	speed	speed	NOUN
fuelectenerg-3305	22	37	devices	device	NOUN
fuelectenerg-3305	22	38	,	,	PUNCT
fuelectenerg-3305	22	39	i.e.	i.e.	X
fuelectenerg-3305	22	40	at	at	ADP
fuelectenerg-3305	22	41	zero	zero	NUM
fuelectenerg-3305	22	42	additional	additional	ADJ
fuelectenerg-3305	22	43	costs	cost	NOUN
fuelectenerg-3305	22	44	.	.	PUNCT
fuelectenerg-3305	23	1	double	double	ADJ
fuelectenerg-3305	23	2	-	-	PUNCT
fuelectenerg-3305	23	3	balanced	balanced	ADJ
fuelectenerg-3305	23	4	active	active	ADJ
fuelectenerg-3305	23	5	mixer	mixer	NOUN
fuelectenerg-3305	23	6	circuit	circuit	NOUN
fuelectenerg-3305	23	7	is	be	AUX
fuelectenerg-3305	23	8	designed	design	VERB
fuelectenerg-3305	23	9	and	and	CCONJ
fuelectenerg-3305	23	10	fabricated	fabricate	VERB
fuelectenerg-3305	23	11	in	in	ADP
fuelectenerg-3305	23	12	hcbt	hcbt	NOUN
fuelectenerg-3305	23	13	technology	technology	NOUN
fuelectenerg-3305	23	14	.	.	PUNCT
fuelectenerg-3305	24	1	the	the	DET
fuelectenerg-3305	24	2	maximum	maximum	ADJ
fuelectenerg-3305	24	3	iip3	iip3	NOUN
fuelectenerg-3305	24	4	of	of	ADP
fuelectenerg-3305	24	5	17.7	17.7	NUM
fuelectenerg-3305	24	6	dbm	dbm	NOUN
fuelectenerg-3305	24	7	at	at	ADP
fuelectenerg-3305	24	8	mixer	mixer	PROPN
fuelectenerg-3305	24	9	current	current	ADJ
fuelectenerg-3305	24	10	of	of	ADP
fuelectenerg-3305	24	11	9.2	9.2	NUM
fuelectenerg-3305	24	12	ma	ma	PROPN
fuelectenerg-3305	24	13	and	and	CCONJ
fuelectenerg-3305	24	14	conversion	conversion	NOUN
fuelectenerg-3305	24	15	gain	gain	NOUN
fuelectenerg-3305	24	16	of	of	ADP
fuelectenerg-3305	24	17	-5	-5	INTJ
fuelectenerg-3305	24	18	db	db	PROPN
fuelectenerg-3305	24	19	are	be	AUX
fuelectenerg-3305	24	20	achieved	achieve	VERB
fuelectenerg-3305	24	21	.	.	PUNCT
fuelectenerg-3305	25	1	key	key	ADJ
fuelectenerg-3305	25	2	words	word	NOUN
fuelectenerg-3305	25	3	:	:	PUNCT
fuelectenerg-3305	25	4	bicmos	bicmos	ADJ
fuelectenerg-3305	25	5	technology	technology	NOUN
fuelectenerg-3305	25	6	,	,	PUNCT
fuelectenerg-3305	25	7	bipolar	bipolar	ADJ
fuelectenerg-3305	25	8	transistors	transistor	NOUN
fuelectenerg-3305	25	9	,	,	PUNCT
fuelectenerg-3305	25	10	horizontal	horizontal	ADJ
fuelectenerg-3305	25	11	current	current	ADJ
fuelectenerg-3305	25	12	bipolar	bipolar	ADJ
fuelectenerg-3305	25	13	transistor	transistor	NOUN
fuelectenerg-3305	25	14	,	,	PUNCT
fuelectenerg-3305	25	15	radio	radio	NOUN
fuelectenerg-3305	25	16	frequency	frequency	NOUN
fuelectenerg-3305	25	17	integrated	integrate	VERB
fuelectenerg-3305	25	18	circuits	circuit	NOUN
fuelectenerg-3305	25	19	,	,	PUNCT
fuelectenerg-3305	25	20	mixer	mixer	NOUN
fuelectenerg-3305	25	21	,	,	PUNCT
fuelectenerg-3305	25	22	high	high	ADJ
fuelectenerg-3305	25	23	-	-	PUNCT
fuelectenerg-3305	25	24	voltage	voltage	NOUN
fuelectenerg-3305	25	25	bipolar	bipolar	ADJ
fuelectenerg-3305	25	26	transistors	transistor	NOUN
fuelectenerg-3305	25	27	.	.	PUNCT
fuelectenerg-3305	26	1	1	1	X
fuelectenerg-3305	26	2	.	.	X
fuelectenerg-3305	26	3	introduction	introduction	NOUN
fuelectenerg-3305	26	4	in	in	ADP
fuelectenerg-3305	26	5	the	the	DET
fuelectenerg-3305	26	6	highly	highly	ADV
fuelectenerg-3305	26	7	competitive	competitive	ADJ
fuelectenerg-3305	26	8	wireless	wireless	ADJ
fuelectenerg-3305	26	9	communication	communication	NOUN
fuelectenerg-3305	26	10	markets	market	NOUN
fuelectenerg-3305	26	11	,	,	PUNCT
fuelectenerg-3305	26	12	the	the	DET
fuelectenerg-3305	26	13	rf	rf	ADJ
fuelectenerg-3305	26	14	circuits	circuit	NOUN
fuelectenerg-3305	26	15	and	and	CCONJ
fuelectenerg-3305	26	16	systems	system	NOUN
fuelectenerg-3305	26	17	are	be	AUX
fuelectenerg-3305	26	18	fabricated	fabricate	VERB
fuelectenerg-3305	26	19	in	in	ADP
fuelectenerg-3305	26	20	the	the	DET
fuelectenerg-3305	26	21	technologies	technology	NOUN
fuelectenerg-3305	26	22	that	that	PRON
fuelectenerg-3305	26	23	are	be	AUX
fuelectenerg-3305	26	24	very	very	ADV
fuelectenerg-3305	26	25	cost	cost	NOUN
fuelectenerg-3305	26	26	-	-	PUNCT
fuelectenerg-3305	26	27	sensitive	sensitive	ADJ
fuelectenerg-3305	26	28	.	.	PUNCT
fuelectenerg-3305	27	1	in	in	ADP
fuelectenerg-3305	27	2	order	order	NOUN
fuelectenerg-3305	27	3	to	to	PART
fuelectenerg-3305	27	4	minimize	minimize	VERB
fuelectenerg-3305	27	5	the	the	DET
fuelectenerg-3305	27	6	fabrication	fabrication	NOUN
fuelectenerg-3305	27	7	costs	cost	NOUN
fuelectenerg-3305	27	8	,	,	PUNCT
fuelectenerg-3305	27	9	the	the	DET
fuelectenerg-3305	27	10	sub-10	sub-10	NUM
fuelectenerg-3305	27	11	ghz	ghz	NOUN
fuelectenerg-3305	27	12	applications	application	NOUN
fuelectenerg-3305	27	13	can	can	AUX
fuelectenerg-3305	27	14	be	be	AUX
fuelectenerg-3305	27	15	processed	process	VERB
fuelectenerg-3305	27	16	by	by	ADP
fuelectenerg-3305	27	17	using	use	VERB
fuelectenerg-3305	27	18	the	the	DET
fuelectenerg-3305	27	19	high	high	ADJ
fuelectenerg-3305	27	20	-	-	PUNCT
fuelectenerg-3305	27	21	volume	volume	NOUN
fuelectenerg-3305	27	22	silicon	silicon	NOUN
fuelectenerg-3305	27	23	technologies	technology	NOUN
fuelectenerg-3305	27	24	.	.	PUNCT
fuelectenerg-3305	28	1	it	it	PRON
fuelectenerg-3305	28	2	has	have	AUX
fuelectenerg-3305	28	3	been	be	AUX
fuelectenerg-3305	28	4	identified	identify	VERB
fuelectenerg-3305	28	5	that	that	SCONJ
fuelectenerg-3305	28	6	the	the	DET
fuelectenerg-3305	28	7	optimum	optimum	ADJ
fuelectenerg-3305	28	8	solution	solution	NOUN
fuelectenerg-3305	28	9	might	might	AUX
fuelectenerg-3305	28	10	received	receive	VERB
fuelectenerg-3305	28	11	march	march	PROPN
fuelectenerg-3305	28	12	9	9	NUM
fuelectenerg-3305	28	13	,	,	PUNCT
fuelectenerg-3305	28	14	2015	2015	NUM
fuelectenerg-3305	28	15	corresponding	correspond	VERB
fuelectenerg-3305	28	16	author	author	NOUN
fuelectenerg-3305	28	17	:	:	PUNCT
fuelectenerg-3305	28	18	tomislav	tomislav	PROPN
fuelectenerg-3305	28	19	suligoj	suligoj	PROPN
fuelectenerg-3305	28	20	university	university	PROPN
fuelectenerg-3305	28	21	of	of	ADP
fuelectenerg-3305	28	22	zagreb	zagreb	PROPN
fuelectenerg-3305	28	23	,	,	PUNCT
fuelectenerg-3305	28	24	faculty	faculty	NOUN
fuelectenerg-3305	28	25	of	of	ADP
fuelectenerg-3305	28	26	electrical	electrical	ADJ
fuelectenerg-3305	28	27	engineering	engineering	NOUN
fuelectenerg-3305	28	28	and	and	CCONJ
fuelectenerg-3305	28	29	computing	computing	NOUN
fuelectenerg-3305	28	30	,	,	PUNCT
fuelectenerg-3305	28	31	department	department	NOUN
fuelectenerg-3305	28	32	of	of	ADP
fuelectenerg-3305	28	33	electronics	electronic	NOUN
fuelectenerg-3305	28	34	,	,	PUNCT
fuelectenerg-3305	28	35	microand	microand	NOUN
fuelectenerg-3305	28	36	nano	nano	NOUN
fuelectenerg-3305	28	37	-	-	PUNCT
fuelectenerg-3305	28	38	electronics	electronic	NOUN
fuelectenerg-3305	28	39	laboratory	laboratory	NOUN
fuelectenerg-3305	28	40	,	,	PUNCT
fuelectenerg-3305	28	41	croatia	croatia	PROPN
fuelectenerg-3305	28	42	(	(	PUNCT
fuelectenerg-3305	28	43	e	e	NOUN
fuelectenerg-3305	28	44	-	-	NOUN
fuelectenerg-3305	28	45	mail	mail	NOUN
fuelectenerg-3305	28	46	:	:	PUNCT
fuelectenerg-3305	28	47	tom@zemris.fer.hr	tom@zemris.fer.hr	X
fuelectenerg-3305	28	48	)	)	PUNCT
fuelectenerg-3305	28	49	an	an	DET
fuelectenerg-3305	28	50	improved	improve	VERB
fuelectenerg-3305	28	51	spectral	spectral	ADJ
fuelectenerg-3305	28	52	classification	classification	NOUN
fuelectenerg-3305	28	53	of	of	ADP
fuelectenerg-3305	28	54	boolean	boolean	ADJ
fuelectenerg-3305	28	55	functions	function	NOUN
fuelectenerg-3305	28	56	based	base	VERB
fuelectenerg-3305	28	57	on	on	ADP
fuelectenerg-3305	28	58	extended	extended	ADJ
fuelectenerg-3305	28	59	set	set	NOUN
fuelectenerg-3305	28	60	of	of	ADP
fuelectenerg-3305	28	61	invariant	invariant	ADJ
fuelectenerg-3305	28	62	operations	operation	NOUN
fuelectenerg-3305	28	63	*	*	SYM
fuelectenerg-3305	28	64	1faculty	1faculty	NUM
fuelectenerg-3305	28	65	of	of	ADP
fuelectenerg-3305	28	66	electronic	electronic	ADJ
fuelectenerg-3305	28	67	engineering	engineering	NOUN
fuelectenerg-3305	28	68	,	,	PUNCT
fuelectenerg-3305	28	69	university	university	NOUN
fuelectenerg-3305	28	70	of	of	ADP
fuelectenerg-3305	28	71	niš	niš	PROPN
fuelectenerg-3305	28	72	,	,	PUNCT
fuelectenerg-3305	28	73	niš	niš	NOUN
fuelectenerg-3305	28	74	,	,	PUNCT
fuelectenerg-3305	28	75	serbia	serbia	PROPN
fuelectenerg-3305	28	76	2tu	2tu	PROPN
fuelectenerg-3305	28	77	dortmund	dortmund	PROPN
fuelectenerg-3305	28	78	university	university	PROPN
fuelectenerg-3305	28	79	,	,	PUNCT
fuelectenerg-3305	28	80	dortmund	dortmund	PROPN
fuelectenerg-3305	28	81	,	,	PUNCT
fuelectenerg-3305	28	82	germany	germany	PROPN
fuelectenerg-3305	29	1	abstract.boolean	abstract.boolean	NOUN
fuelectenerg-3305	29	2	functions	function	NOUN
fuelectenerg-3305	29	3	expressing	express	VERB
fuelectenerg-3305	29	4	some	some	DET
fuelectenerg-3305	29	5	particular	particular	ADJ
fuelectenerg-3305	29	6	properties	property	NOUN
fuelectenerg-3305	29	7	often	often	ADV
fuelectenerg-3305	29	8	appear	appear	VERB
fuelectenerg-3305	29	9	in	in	ADP
fuelectenerg-3305	29	10	engineering	engineering	NOUN
fuelectenerg-3305	29	11	practice	practice	NOUN
fuelectenerg-3305	29	12	.	.	PUNCT
fuelectenerg-3305	30	1	therefore	therefore	ADV
fuelectenerg-3305	30	2	,	,	PUNCT
fuelectenerg-3305	30	3	a	a	DET
fuelectenerg-3305	30	4	lot	lot	NOUN
fuelectenerg-3305	30	5	of	of	ADP
fuelectenerg-3305	30	6	research	research	NOUN
fuelectenerg-3305	30	7	efforts	effort	NOUN
fuelectenerg-3305	30	8	are	be	AUX
fuelectenerg-3305	30	9	put	put	VERB
fuelectenerg-3305	30	10	into	into	ADP
fuelectenerg-3305	30	11	exploring	explore	VERB
fuelectenerg-3305	30	12	different	different	ADJ
fuelectenerg-3305	30	13	approaches	approach	NOUN
fuelectenerg-3305	30	14	towards	towards	ADP
fuelectenerg-3305	30	15	classification	classification	NOUN
fuelectenerg-3305	30	16	of	of	ADP
fuelectenerg-3305	30	17	boolean	boolean	ADJ
fuelectenerg-3305	30	18	functions	function	NOUN
fuelectenerg-3305	30	19	with	with	ADP
fuelectenerg-3305	30	20	respect	respect	NOUN
fuelectenerg-3305	30	21	to	to	ADP
fuelectenerg-3305	30	22	various	various	ADJ
fuelectenerg-3305	30	23	criteria	criterion	NOUN
fuelectenerg-3305	30	24	that	that	PRON
fuelectenerg-3305	30	25	are	be	AUX
fuelectenerg-3305	30	26	typically	typically	ADV
fuelectenerg-3305	30	27	selected	select	VERB
fuelectenerg-3305	30	28	to	to	PART
fuelectenerg-3305	30	29	serve	serve	VERB
fuelectenerg-3305	30	30	some	some	DET
fuelectenerg-3305	30	31	specific	specific	ADJ
fuelectenerg-3305	30	32	needs	need	NOUN
fuelectenerg-3305	30	33	of	of	ADP
fuelectenerg-3305	30	34	the	the	DET
fuelectenerg-3305	30	35	intended	intend	VERB
fuelectenerg-3305	30	36	applications	application	NOUN
fuelectenerg-3305	30	37	.	.	PUNCT
fuelectenerg-3305	31	1	a	a	DET
fuelectenerg-3305	31	2	classification	classification	NOUN
fuelectenerg-3305	31	3	is	be	AUX
fuelectenerg-3305	31	4	considered	consider	VERB
fuelectenerg-3305	31	5	to	to	PART
fuelectenerg-3305	31	6	be	be	AUX
fuelectenerg-3305	31	7	strong	strong	ADJ
fuelectenerg-3305	31	8	if	if	SCONJ
fuelectenerg-3305	31	9	there	there	PRON
fuelectenerg-3305	31	10	is	be	VERB
fuelectenerg-3305	31	11	a	a	DET
fuelectenerg-3305	31	12	reasonably	reasonably	ADV
fuelectenerg-3305	31	13	small	small	ADJ
fuelectenerg-3305	31	14	number	number	NOUN
fuelectenerg-3305	31	15	of	of	ADP
fuelectenerg-3305	31	16	different	different	ADJ
fuelectenerg-3305	31	17	classes	class	NOUN
fuelectenerg-3305	31	18	for	for	ADP
fuelectenerg-3305	31	19	a	a	DET
fuelectenerg-3305	31	20	given	give	VERB
fuelectenerg-3305	31	21	number	number	NOUN
fuelectenerg-3305	31	22	of	of	ADP
fuelectenerg-3305	31	23	variables	variable	NOUN
fuelectenerg-3305	31	24	n	n	CCONJ
fuelectenerg-3305	32	1	and	and	CCONJ
fuelectenerg-3305	32	2	it	it	PRON
fuelectenerg-3305	32	3	it	it	PRON
fuelectenerg-3305	32	4	desirable	desirable	VERB
fuelectenerg-3305	32	5	that	that	SCONJ
fuelectenerg-3305	32	6	classification	classification	NOUN
fuelectenerg-3305	32	7	rules	rule	NOUN
fuelectenerg-3305	32	8	are	be	AUX
fuelectenerg-3305	32	9	simple	simple	ADJ
fuelectenerg-3305	32	10	.	.	PUNCT
fuelectenerg-3305	33	1	a	a	DET
fuelectenerg-3305	33	2	classification	classification	NOUN
fuelectenerg-3305	33	3	with	with	ADP
fuelectenerg-3305	33	4	respect	respect	NOUN
fuelectenerg-3305	33	5	to	to	ADP
fuelectenerg-3305	33	6	walsh	walsh	PROPN
fuelectenerg-3305	33	7	spectral	spectral	ADJ
fuelectenerg-3305	33	8	coefficients	coefficient	NOUN
fuelectenerg-3305	33	9	,	,	PUNCT
fuelectenerg-3305	33	10	introduced	introduce	VERB
fuelectenerg-3305	33	11	formerly	formerly	ADV
fuelectenerg-3305	33	12	for	for	ADP
fuelectenerg-3305	33	13	digital	digital	ADJ
fuelectenerg-3305	33	14	system	system	NOUN
fuelectenerg-3305	33	15	design	design	NOUN
fuelectenerg-3305	33	16	purposes	purpose	NOUN
fuelectenerg-3305	33	17	,	,	PUNCT
fuelectenerg-3305	33	18	appears	appear	VERB
fuelectenerg-3305	33	19	to	to	PART
fuelectenerg-3305	33	20	be	be	AUX
fuelectenerg-3305	33	21	useful	useful	ADJ
fuelectenerg-3305	33	22	in	in	ADP
fuelectenerg-3305	33	23	the	the	DET
fuelectenerg-3305	33	24	context	context	NOUN
fuelectenerg-3305	33	25	of	of	ADP
fuelectenerg-3305	33	26	boolean	boolean	ADJ
fuelectenerg-3305	33	27	functions	function	NOUN
fuelectenerg-3305	33	28	used	use	VERB
fuelectenerg-3305	33	29	in	in	ADP
fuelectenerg-3305	33	30	cryptography	cryptography	NOUN
fuelectenerg-3305	33	31	,	,	PUNCT
fuelectenerg-3305	33	32	since	since	SCONJ
fuelectenerg-3305	33	33	it	it	PRON
fuelectenerg-3305	33	34	is	be	AUX
fuelectenerg-3305	33	35	in	in	ADP
fuelectenerg-3305	33	36	a	a	DET
fuelectenerg-3305	33	37	way	way	NOUN
fuelectenerg-3305	33	38	compatible	compatible	ADJ
fuelectenerg-3305	33	39	with	with	ADP
fuelectenerg-3305	33	40	characterization	characterization	NOUN
fuelectenerg-3305	33	41	of	of	ADP
fuelectenerg-3305	33	42	cryptographically	cryptographically	ADV
fuelectenerg-3305	33	43	interesting	interesting	ADJ
fuelectenerg-3305	33	44	functions	function	NOUN
fuelectenerg-3305	33	45	through	through	ADP
fuelectenerg-3305	33	46	walsh	walsh	PROPN
fuelectenerg-3305	33	47	spectral	spectral	ADJ
fuelectenerg-3305	33	48	coefficients	coefficient	NOUN
fuelectenerg-3305	33	49	.	.	PUNCT
fuelectenerg-3305	34	1	this	this	DET
fuelectenerg-3305	34	2	classification	classification	NOUN
fuelectenerg-3305	34	3	is	be	AUX
fuelectenerg-3305	34	4	performed	perform	VERB
fuelectenerg-3305	34	5	in	in	ADP
fuelectenerg-3305	34	6	terms	term	NOUN
fuelectenerg-3305	34	7	of	of	ADP
fuelectenerg-3305	34	8	certain	certain	ADJ
fuelectenerg-3305	34	9	spectral	spectral	ADJ
fuelectenerg-3305	34	10	invariant	invariant	ADJ
fuelectenerg-3305	34	11	operations	operation	NOUN
fuelectenerg-3305	34	12	.	.	PUNCT
fuelectenerg-3305	35	1	we	we	PRON
fuelectenerg-3305	35	2	show	show	VERB
fuelectenerg-3305	35	3	by	by	ADP
fuelectenerg-3305	35	4	introducing	introduce	VERB
fuelectenerg-3305	35	5	a	a	DET
fuelectenerg-3305	35	6	new	new	ADJ
fuelectenerg-3305	35	7	spectral	spectral	ADJ
fuelectenerg-3305	35	8	invariant	invariant	ADJ
fuelectenerg-3305	35	9	operation	operation	NOUN
fuelectenerg-3305	35	10	in	in	ADP
fuelectenerg-3305	35	11	the	the	DET
fuelectenerg-3305	35	12	walsh	walsh	NOUN
fuelectenerg-3305	35	13	domain	domain	NOUN
fuelectenerg-3305	35	14	,	,	PUNCT
fuelectenerg-3305	35	15	that	that	SCONJ
fuelectenerg-3305	35	16	by	by	ADP
fuelectenerg-3305	35	17	starting	start	VERB
fuelectenerg-3305	35	18	from	from	ADP
fuelectenerg-3305	35	19	n≤5	n≤5	PROPN
fuelectenerg-3305	35	20	,	,	PUNCT
fuelectenerg-3305	35	21	some	some	DET
fuelectenerg-3305	35	22	classes	class	NOUN
fuelectenerg-3305	35	23	of	of	ADP
fuelectenerg-3305	35	24	boolean	boolean	ADJ
fuelectenerg-3305	35	25	functions	function	NOUN
fuelectenerg-3305	35	26	can	can	AUX
fuelectenerg-3305	35	27	be	be	AUX
fuelectenerg-3305	35	28	merged	merge	VERB
fuelectenerg-3305	35	29	which	which	PRON
fuelectenerg-3305	35	30	makes	make	VERB
fuelectenerg-3305	35	31	the	the	DET
fuelectenerg-3305	35	32	classification	classification	NOUN
fuelectenerg-3305	35	33	stronger	strong	ADJ
fuelectenerg-3305	35	34	,	,	PUNCT
fuelectenerg-3305	35	35	and	and	CCONJ
fuelectenerg-3305	35	36	from	from	ADP
fuelectenerg-3305	35	37	the	the	DET
fuelectenerg-3305	35	38	theoretical	theoretical	ADJ
fuelectenerg-3305	35	39	point	point	NOUN
fuelectenerg-3305	35	40	of	of	ADP
fuelectenerg-3305	35	41	view	view	NOUN
fuelectenerg-3305	35	42	resolves	resolve	NOUN
fuelectenerg-3305	35	43	a	a	DET
fuelectenerg-3305	35	44	problem	problem	NOUN
fuelectenerg-3305	35	45	raised	raise	VERB
fuelectenerg-3305	35	46	already	already	ADV
fuelectenerg-3305	35	47	in	in	ADP
fuelectenerg-3305	35	48	seventies	seventy	NOUN
fuelectenerg-3305	35	49	of	of	ADP
fuelectenerg-3305	35	50	the	the	DET
fuelectenerg-3305	35	51	last	last	ADJ
fuelectenerg-3305	35	52	century	century	NOUN
fuelectenerg-3305	35	53	.	.	PUNCT
fuelectenerg-3305	36	1	further	far	ADV
fuelectenerg-3305	36	2	,	,	PUNCT
fuelectenerg-3305	36	3	this	this	DET
fuelectenerg-3305	36	4	new	new	ADJ
fuelectenerg-3305	36	5	spectral	spectral	ADJ
fuelectenerg-3305	36	6	invariant	invariant	ADJ
fuelectenerg-3305	36	7	operation	operation	NOUN
fuelectenerg-3305	36	8	can	can	AUX
fuelectenerg-3305	36	9	be	be	AUX
fuelectenerg-3305	36	10	used	use	VERB
fuelectenerg-3305	36	11	in	in	ADP
fuelectenerg-3305	36	12	constructing	construct	VERB
fuelectenerg-3305	36	13	bent	bent	ADJ
fuelectenerg-3305	36	14	functions	function	NOUN
fuelectenerg-3305	36	15	from	from	ADP
fuelectenerg-3305	36	16	bent	bent	ADJ
fuelectenerg-3305	36	17	functions	function	NOUN
fuelectenerg-3305	36	18	represented	represent	VERB
fuelectenerg-3305	36	19	by	by	ADP
fuelectenerg-3305	36	20	quadratic	quadratic	ADJ
fuelectenerg-3305	36	21	forms	form	NOUN
fuelectenerg-3305	36	22	.	.	PUNCT
fuelectenerg-3305	37	1	key	key	ADJ
fuelectenerg-3305	37	2	words	word	NOUN
fuelectenerg-3305	37	3	:	:	PUNCT
fuelectenerg-3305	37	4	boolean	boolean	ADJ
fuelectenerg-3305	37	5	functions	function	NOUN
fuelectenerg-3305	37	6	,	,	PUNCT
fuelectenerg-3305	37	7	classication	classication	NOUN
fuelectenerg-3305	37	8	,	,	PUNCT
fuelectenerg-3305	37	9	walsh	walsh	PROPN
fuelectenerg-3305	37	10	spectrum	spectrum	PROPN
fuelectenerg-3305	37	11	,	,	PUNCT
fuelectenerg-3305	37	12	invarant	invarant	ADJ
fuelectenerg-3305	37	13	operations	operation	NOUN
fuelectenerg-3305	37	14	.	.	PUNCT
fuelectenerg-3305	38	1	2	2	NUM
fuelectenerg-3305	38	2	m.	m.	NOUN
fuelectenerg-3305	38	3	stankovic	stankovic	PROPN
fuelectenerg-3305	38	4	,	,	PUNCT
fuelectenerg-3305	38	5	c.	c.	PROPN
fuelectenerg-3305	38	6	moraga	moraga	PROPN
fuelectenerg-3305	38	7	,	,	PUNCT
fuelectenerg-3305	38	8	r.	r.	PROPN
fuelectenerg-3305	38	9	s.	s.	PROPN
fuelectenerg-3305	38	10	stanković	stanković	PROPN
fuelectenerg-3305	38	11	keywords	keyword	NOUN
fuelectenerg-3305	38	12	:	:	PUNCT
fuelectenerg-3305	38	13	boolean	boolean	ADJ
fuelectenerg-3305	38	14	functions	function	NOUN
fuelectenerg-3305	38	15	,	,	PUNCT
fuelectenerg-3305	38	16	classification	classification	NOUN
fuelectenerg-3305	38	17	,	,	PUNCT
fuelectenerg-3305	38	18	walsh	walsh	PROPN
fuelectenerg-3305	38	19	spectrum	spectrum	PROPN
fuelectenerg-3305	38	20	,	,	PUNCT
fuelectenerg-3305	38	21	invarant	invarant	ADJ
fuelectenerg-3305	38	22	operations	operation	NOUN
fuelectenerg-3305	38	23	.	.	PUNCT
fuelectenerg-3305	39	1	1	1	NUM
fuelectenerg-3305	39	2	introduction	introduction	NOUN
fuelectenerg-3305	39	3	classification	classification	NOUN
fuelectenerg-3305	39	4	of	of	ADP
fuelectenerg-3305	39	5	boolean	boolean	ADJ
fuelectenerg-3305	39	6	functions	function	NOUN
fuelectenerg-3305	39	7	is	be	AUX
fuelectenerg-3305	39	8	a	a	DET
fuelectenerg-3305	39	9	classical	classical	ADJ
fuelectenerg-3305	39	10	and	and	CCONJ
fuelectenerg-3305	39	11	well	well	ADV
fuelectenerg-3305	39	12	explored	explore	VERB
fuelectenerg-3305	39	13	problem	problem	NOUN
fuelectenerg-3305	39	14	in	in	ADP
fuelectenerg-3305	39	15	switching	switch	VERB
fuelectenerg-3305	39	16	theory	theory	NOUN
fuelectenerg-3305	39	17	[	[	X
fuelectenerg-3305	39	18	1	1	NUM
fuelectenerg-3305	39	19	]	]	PUNCT
fuelectenerg-3305	39	20	.	.	PUNCT
fuelectenerg-3305	40	1	boolean	boolean	ADJ
fuelectenerg-3305	40	2	functions	function	NOUN
fuelectenerg-3305	40	3	can	can	AUX
fuelectenerg-3305	40	4	be	be	AUX
fuelectenerg-3305	40	5	classified	classify	VERB
fuelectenerg-3305	40	6	for	for	ADP
fuelectenerg-3305	40	7	different	different	ADJ
fuelectenerg-3305	40	8	purposes	purpose	NOUN
fuelectenerg-3305	40	9	.	.	PUNCT
fuelectenerg-3305	41	1	two	two	NUM
fuelectenerg-3305	41	2	of	of	ADP
fuelectenerg-3305	41	3	them	they	PRON
fuelectenerg-3305	41	4	that	that	PRON
fuelectenerg-3305	41	5	are	be	AUX
fuelectenerg-3305	41	6	most	most	ADV
fuelectenerg-3305	41	7	usually	usually	ADV
fuelectenerg-3305	41	8	reported	report	VERB
fuelectenerg-3305	41	9	,	,	PUNCT
fuelectenerg-3305	41	10	npn	npn	NOUN
fuelectenerg-3305	41	11	and	and	CCONJ
fuelectenerg-3305	41	12	lp	lp	ADJ
fuelectenerg-3305	41	13	classifications	classification	NOUN
fuelectenerg-3305	41	14	,	,	PUNCT
fuelectenerg-3305	41	15	are	be	AUX
fuelectenerg-3305	41	16	related	relate	VERB
fuelectenerg-3305	41	17	to	to	ADP
fuelectenerg-3305	41	18	technology	technology	NOUN
fuelectenerg-3305	41	19	mapping	mapping	NOUN
fuelectenerg-3305	41	20	in	in	ADP
fuelectenerg-3305	41	21	logic	logic	ADJ
fuelectenerg-3305	41	22	synthesis	synthesis	NOUN
fuelectenerg-3305	41	23	with	with	ADP
fuelectenerg-3305	41	24	standard	standard	ADJ
fuelectenerg-3305	41	25	gate	gate	NOUN
fuelectenerg-3305	41	26	libraries	library	NOUN
fuelectenerg-3305	41	27	or	or	CCONJ
fuelectenerg-3305	41	28	in	in	ADP
fuelectenerg-3305	41	29	fpga	fpga	NOUN
fuelectenerg-3305	41	30	synthesis	synthesis	NOUN
fuelectenerg-3305	41	31	and	and	CCONJ
fuelectenerg-3305	41	32	unification	unification	NOUN
fuelectenerg-3305	41	33	and	and	CCONJ
fuelectenerg-3305	41	34	simplification	simplification	NOUN
fuelectenerg-3305	41	35	of	of	ADP
fuelectenerg-3305	41	36	testing	testing	NOUN
fuelectenerg-3305	41	37	procedures	procedure	NOUN
fuelectenerg-3305	41	38	[	[	X
fuelectenerg-3305	41	39	2	2	NUM
fuelectenerg-3305	41	40	]	]	PUNCT
fuelectenerg-3305	41	41	,	,	PUNCT
fuelectenerg-3305	41	42	[	[	X
fuelectenerg-3305	41	43	3	3	NUM
fuelectenerg-3305	41	44	]	]	PUNCT
fuelectenerg-3305	41	45	.	.	PUNCT
fuelectenerg-3305	42	1	classification	classification	NOUN
fuelectenerg-3305	42	2	can	can	AUX
fuelectenerg-3305	42	3	be	be	AUX
fuelectenerg-3305	42	4	performed	perform	VERB
fuelectenerg-3305	42	5	with	with	ADP
fuelectenerg-3305	42	6	respect	respect	NOUN
fuelectenerg-3305	42	7	to	to	ADP
fuelectenerg-3305	42	8	various	various	ADJ
fuelectenerg-3305	42	9	criteria	criterion	NOUN
fuelectenerg-3305	42	10	usually	usually	ADV
fuelectenerg-3305	42	11	appropriately	appropriately	ADV
fuelectenerg-3305	42	12	defined	define	VERB
fuelectenerg-3305	42	13	to	to	PART
fuelectenerg-3305	42	14	serve	serve	VERB
fuelectenerg-3305	42	15	certain	certain	ADJ
fuelectenerg-3305	42	16	application	application	NOUN
fuelectenerg-3305	42	17	purposes	purpose	NOUN
fuelectenerg-3305	42	18	.	.	PUNCT
fuelectenerg-3305	43	1	the	the	DET
fuelectenerg-3305	43	2	present	present	ADJ
fuelectenerg-3305	43	3	interest	interest	NOUN
fuelectenerg-3305	43	4	of	of	ADP
fuelectenerg-3305	43	5	some	some	DET
fuelectenerg-3305	43	6	researchers	researcher	NOUN
fuelectenerg-3305	43	7	in	in	ADP
fuelectenerg-3305	43	8	classification	classification	NOUN
fuelectenerg-3305	43	9	with	with	ADP
fuelectenerg-3305	43	10	respect	respect	NOUN
fuelectenerg-3305	43	11	to	to	ADP
fuelectenerg-3305	43	12	walsh	walsh	PROPN
fuelectenerg-3305	43	13	spectral	spectral	ADJ
fuelectenerg-3305	43	14	coefficients	coefficient	NOUN
fuelectenerg-3305	43	15	,	,	PUNCT
fuelectenerg-3305	43	16	which	which	PRON
fuelectenerg-3305	43	17	we	we	PRON
fuelectenerg-3305	43	18	will	will	AUX
fuelectenerg-3305	43	19	shortly	shortly	ADV
fuelectenerg-3305	43	20	denote	denote	VERB
fuelectenerg-3305	43	21	as	as	ADP
fuelectenerg-3305	43	22	the	the	DET
fuelectenerg-3305	43	23	walsh	walsh	PROPN
fuelectenerg-3305	43	24	classification	classification	NOUN
fuelectenerg-3305	43	25	,	,	PUNCT
fuelectenerg-3305	43	26	is	be	AUX
fuelectenerg-3305	43	27	due	due	ADJ
fuelectenerg-3305	43	28	to	to	ADP
fuelectenerg-3305	43	29	the	the	DET
fuelectenerg-3305	43	30	spectral	spectral	ADJ
fuelectenerg-3305	43	31	characterization	characterization	NOUN
fuelectenerg-3305	43	32	of	of	ADP
fuelectenerg-3305	43	33	some	some	DET
fuelectenerg-3305	43	34	classes	class	NOUN
fuelectenerg-3305	43	35	of	of	ADP
fuelectenerg-3305	43	36	boolean	boolean	ADJ
fuelectenerg-3305	43	37	functions	function	NOUN
fuelectenerg-3305	43	38	used	use	VERB
fuelectenerg-3305	43	39	in	in	ADP
fuelectenerg-3305	43	40	cryptography	cryptography	NOUN
fuelectenerg-3305	43	41	[	[	X
fuelectenerg-3305	43	42	4	4	NUM
fuelectenerg-3305	43	43	]	]	PUNCT
fuelectenerg-3305	43	44	,	,	PUNCT
fuelectenerg-3305	43	45	[	[	X
fuelectenerg-3305	43	46	5	5	NUM
fuelectenerg-3305	43	47	]	]	PUNCT
fuelectenerg-3305	43	48	,	,	PUNCT
fuelectenerg-3305	43	49	[	[	X
fuelectenerg-3305	43	50	6	6	NUM
fuelectenerg-3305	43	51	]	]	PUNCT
fuelectenerg-3305	43	52	,	,	PUNCT
fuelectenerg-3305	43	53	[	[	X
fuelectenerg-3305	43	54	7	7	NUM
fuelectenerg-3305	43	55	]	]	PUNCT
fuelectenerg-3305	43	56	,	,	PUNCT
fuelectenerg-3305	43	57	[	[	X
fuelectenerg-3305	43	58	8	8	NUM
fuelectenerg-3305	43	59	]	]	PUNCT
fuelectenerg-3305	43	60	,	,	PUNCT
fuelectenerg-3305	43	61	[	[	X
fuelectenerg-3305	43	62	9	9	NUM
fuelectenerg-3305	43	63	]	]	PUNCT
fuelectenerg-3305	43	64	.	.	PUNCT
fuelectenerg-3305	44	1	in	in	ADP
fuelectenerg-3305	44	2	particular	particular	ADJ
fuelectenerg-3305	44	3	,	,	PUNCT
fuelectenerg-3305	44	4	bent	bent	ADJ
fuelectenerg-3305	44	5	functions	function	NOUN
fuelectenerg-3305	44	6	[	[	X
fuelectenerg-3305	44	7	10	10	NUM
fuelectenerg-3305	44	8	]	]	PUNCT
fuelectenerg-3305	44	9	which	which	PRON
fuelectenerg-3305	44	10	are	be	AUX
fuelectenerg-3305	44	11	defined	define	VERB
fuelectenerg-3305	44	12	as	as	ADP
fuelectenerg-3305	44	13	boolean	boolean	ADJ
fuelectenerg-3305	44	14	functions	function	NOUN
fuelectenerg-3305	44	15	that	that	PRON
fuelectenerg-3305	44	16	have	have	VERB
fuelectenerg-3305	44	17	maximal	maximal	ADJ
fuelectenerg-3305	44	18	minimum	minimum	ADJ
fuelectenerg-3305	44	19	distance	distance	NOUN
fuelectenerg-3305	44	20	to	to	ADP
fuelectenerg-3305	44	21	the	the	DET
fuelectenerg-3305	44	22	set	set	NOUN
fuelectenerg-3305	44	23	of	of	ADP
fuelectenerg-3305	44	24	affine	affine	NOUN
fuelectenerg-3305	44	25	functions	function	NOUN
fuelectenerg-3305	44	26	,	,	PUNCT
fuelectenerg-3305	44	27	are	be	AUX
fuelectenerg-3305	44	28	alternatively	alternatively	ADV
fuelectenerg-3305	44	29	defined	define	VERB
fuelectenerg-3305	44	30	as	as	ADP
fuelectenerg-3305	44	31	boolean	boolean	ADJ
fuelectenerg-3305	44	32	functions	function	NOUN
fuelectenerg-3305	44	33	with	with	ADP
fuelectenerg-3305	44	34	flat	flat	ADJ
fuelectenerg-3305	44	35	walsh	walsh	NOUN
fuelectenerg-3305	44	36	spectra	spectra	NOUN
fuelectenerg-3305	44	37	,	,	PUNCT
fuelectenerg-3305	44	38	meaning	mean	VERB
fuelectenerg-3305	44	39	that	that	SCONJ
fuelectenerg-3305	44	40	all	all	DET
fuelectenerg-3305	44	41	the	the	DET
fuelectenerg-3305	44	42	walsh	walsh	NOUN
fuelectenerg-3305	44	43	coefficients	coefficient	NOUN
fuelectenerg-3305	44	44	have	have	VERB
fuelectenerg-3305	44	45	the	the	DET
fuelectenerg-3305	44	46	same	same	ADJ
fuelectenerg-3305	44	47	absolute	absolute	ADJ
fuelectenerg-3305	44	48	value	value	NOUN
fuelectenerg-3305	44	49	equal	equal	ADJ
fuelectenerg-3305	44	50	to	to	ADP
fuelectenerg-3305	44	51	2n/2	2n/2	NUM
fuelectenerg-3305	44	52	,	,	PUNCT
fuelectenerg-3305	44	53	where	where	SCONJ
fuelectenerg-3305	44	54	n	n	X
fuelectenerg-3305	44	55	is	be	AUX
fuelectenerg-3305	44	56	the	the	DET
fuelectenerg-3305	44	57	number	number	NOUN
fuelectenerg-3305	44	58	of	of	ADP
fuelectenerg-3305	44	59	variables	variable	NOUN
fuelectenerg-3305	44	60	.	.	PUNCT
fuelectenerg-3305	45	1	this	this	DET
fuelectenerg-3305	45	2	requirement	requirement	NOUN
fuelectenerg-3305	45	3	implies	imply	VERB
fuelectenerg-3305	45	4	that	that	SCONJ
fuelectenerg-3305	45	5	all	all	DET
fuelectenerg-3305	45	6	bent	bent	ADJ
fuelectenerg-3305	45	7	functions	function	NOUN
fuelectenerg-3305	45	8	for	for	ADP
fuelectenerg-3305	45	9	a	a	DET
fuelectenerg-3305	45	10	given	give	VERB
fuelectenerg-3305	45	11	n	n	PRON
fuelectenerg-3305	45	12	belong	belong	VERB
fuelectenerg-3305	45	13	to	to	ADP
fuelectenerg-3305	45	14	the	the	DET
fuelectenerg-3305	45	15	same	same	ADJ
fuelectenerg-3305	45	16	class	class	NOUN
fuelectenerg-3305	45	17	in	in	ADP
fuelectenerg-3305	45	18	the	the	DET
fuelectenerg-3305	45	19	walsh	walsh	NOUN
fuelectenerg-3305	45	20	classification	classification	NOUN
fuelectenerg-3305	45	21	of	of	ADP
fuelectenerg-3305	45	22	boolean	boolean	ADJ
fuelectenerg-3305	45	23	functions	function	NOUN
fuelectenerg-3305	45	24	.	.	PUNCT
fuelectenerg-3305	46	1	this	this	DET
fuelectenerg-3305	46	2	classification	classification	NOUN
fuelectenerg-3305	46	3	has	have	AUX
fuelectenerg-3305	46	4	been	be	AUX
fuelectenerg-3305	46	5	discussed	discuss	VERB
fuelectenerg-3305	46	6	in	in	ADP
fuelectenerg-3305	46	7	a	a	DET
fuelectenerg-3305	46	8	series	series	NOUN
fuelectenerg-3305	46	9	of	of	ADP
fuelectenerg-3305	46	10	papers	paper	NOUN
fuelectenerg-3305	46	11	by	by	ADP
fuelectenerg-3305	46	12	different	different	ADJ
fuelectenerg-3305	46	13	authors	author	NOUN
fuelectenerg-3305	46	14	with	with	ADP
fuelectenerg-3305	46	15	the	the	DET
fuelectenerg-3305	46	16	earliest	early	ADJ
fuelectenerg-3305	46	17	of	of	ADP
fuelectenerg-3305	46	18	them	they	PRON
fuelectenerg-3305	46	19	published	publish	VERB
fuelectenerg-3305	46	20	in	in	ADP
fuelectenerg-3305	46	21	the	the	DET
fuelectenerg-3305	46	22	1970	1970	NUM
fuelectenerg-3305	46	23	’s	’s	NOUN
fuelectenerg-3305	46	24	,	,	PUNCT
fuelectenerg-3305	46	25	[	[	X
fuelectenerg-3305	46	26	11	11	NUM
fuelectenerg-3305	46	27	]	]	PUNCT
fuelectenerg-3305	46	28	,	,	PUNCT
fuelectenerg-3305	46	29	[	[	X
fuelectenerg-3305	46	30	12	12	NUM
fuelectenerg-3305	46	31	]	]	PUNCT
fuelectenerg-3305	46	32	,	,	PUNCT
fuelectenerg-3305	46	33	[	[	X
fuelectenerg-3305	46	34	13	13	NUM
fuelectenerg-3305	46	35	]	]	PUNCT
fuelectenerg-3305	46	36	.	.	PUNCT
fuelectenerg-3305	47	1	in	in	ADP
fuelectenerg-3305	47	2	this	this	DET
fuelectenerg-3305	47	3	classification	classification	NOUN
fuelectenerg-3305	47	4	,	,	PUNCT
fuelectenerg-3305	47	5	boolean	boolean	ADJ
fuelectenerg-3305	47	6	functions	function	NOUN
fuelectenerg-3305	47	7	are	be	AUX
fuelectenerg-3305	47	8	split	split	VERB
fuelectenerg-3305	47	9	into	into	ADP
fuelectenerg-3305	47	10	classes	class	NOUN
fuelectenerg-3305	47	11	satisfying	satisfy	VERB
fuelectenerg-3305	47	12	certain	certain	ADJ
fuelectenerg-3305	47	13	conditions	condition	NOUN
fuelectenerg-3305	47	14	imposed	impose	VERB
fuelectenerg-3305	47	15	on	on	ADP
fuelectenerg-3305	47	16	elements	element	NOUN
fuelectenerg-3305	47	17	of	of	ADP
fuelectenerg-3305	47	18	appropriately	appropriately	ADV
fuelectenerg-3305	47	19	defined	define	VERB
fuelectenerg-3305	47	20	canonic	canonic	ADJ
fuelectenerg-3305	47	21	vectors	vector	NOUN
fuelectenerg-3305	47	22	specified	specify	VERB
fuelectenerg-3305	47	23	in	in	ADP
fuelectenerg-3305	47	24	terms	term	NOUN
fuelectenerg-3305	47	25	of	of	ADP
fuelectenerg-3305	47	26	their	their	PRON
fuelectenerg-3305	47	27	walsh	walsh	NOUN
fuelectenerg-3305	47	28	spectra	spectra	NOUN
fuelectenerg-3305	47	29	as	as	SCONJ
fuelectenerg-3305	47	30	it	it	PRON
fuelectenerg-3305	47	31	will	will	AUX
fuelectenerg-3305	47	32	be	be	AUX
fuelectenerg-3305	47	33	discussed	discuss	VERB
fuelectenerg-3305	47	34	bellow	bellow	ADJ
fuelectenerg-3305	47	35	.	.	PUNCT
fuelectenerg-3305	48	1	functions	function	NOUN
fuelectenerg-3305	48	2	belonging	belong	VERB
fuelectenerg-3305	48	3	to	to	ADP
fuelectenerg-3305	48	4	the	the	DET
fuelectenerg-3305	48	5	same	same	ADJ
fuelectenerg-3305	48	6	class	class	NOUN
fuelectenerg-3305	48	7	are	be	AUX
fuelectenerg-3305	48	8	converted	convert	VERB
fuelectenerg-3305	48	9	to	to	ADP
fuelectenerg-3305	48	10	each	each	DET
fuelectenerg-3305	48	11	other	other	ADJ
fuelectenerg-3305	48	12	by	by	ADP
fuelectenerg-3305	48	13	certain	certain	ADJ
fuelectenerg-3305	48	14	operations	operation	NOUN
fuelectenerg-3305	48	15	that	that	SCONJ
fuelectenerg-3305	48	16	we	we	PRON
fuelectenerg-3305	48	17	will	will	AUX
fuelectenerg-3305	48	18	call	call	VERB
fuelectenerg-3305	48	19	affine	affine	ADJ
fuelectenerg-3305	48	20	spectral	spectral	ADJ
fuelectenerg-3305	48	21	invariant	invariant	ADJ
fuelectenerg-3305	48	22	operations	operation	NOUN
fuelectenerg-3305	48	23	.	.	PUNCT
fuelectenerg-3305	49	1	in	in	ADP
fuelectenerg-3305	49	2	the	the	DET
fuelectenerg-3305	49	3	boolean	boolean	ADJ
fuelectenerg-3305	49	4	domain	domain	NOUN
fuelectenerg-3305	49	5	,	,	PUNCT
fuelectenerg-3305	49	6	these	these	PRON
fuelectenerg-3305	49	7	are	be	AUX
fuelectenerg-3305	49	8	affine	affine	ADJ
fuelectenerg-3305	49	9	operations	operation	NOUN
fuelectenerg-3305	49	10	over	over	ADP
fuelectenerg-3305	49	11	boolean	boolean	ADJ
fuelectenerg-3305	49	12	variables	variable	NOUN
fuelectenerg-3305	49	13	and	and	CCONJ
fuelectenerg-3305	49	14	function	function	NOUN
fuelectenerg-3305	49	15	values	value	NOUN
fuelectenerg-3305	49	16	,	,	PUNCT
fuelectenerg-3305	49	17	which	which	PRON
fuelectenerg-3305	49	18	in	in	ADP
fuelectenerg-3305	49	19	the	the	DET
fuelectenerg-3305	49	20	spectral	spectral	ADJ
fuelectenerg-3305	49	21	domain	domain	NOUN
fuelectenerg-3305	49	22	result	result	NOUN
fuelectenerg-3305	49	23	in	in	ADP
fuelectenerg-3305	49	24	permutation	permutation	NOUN
fuelectenerg-3305	49	25	and	and	CCONJ
fuelectenerg-3305	49	26	sign	sign	VERB
fuelectenerg-3305	49	27	changes	change	NOUN
fuelectenerg-3305	49	28	of	of	ADP
fuelectenerg-3305	49	29	walsh	walsh	NOUN
fuelectenerg-3305	49	30	coefficients	coefficient	NOUN
fuelectenerg-3305	49	31	but	but	CCONJ
fuelectenerg-3305	49	32	preserving	preserve	VERB
fuelectenerg-3305	49	33	their	their	PRON
fuelectenerg-3305	49	34	absolute	absolute	ADJ
fuelectenerg-3305	49	35	values	value	NOUN
fuelectenerg-3305	49	36	.	.	PUNCT
fuelectenerg-3305	50	1	it	it	PRON
fuelectenerg-3305	50	2	was	be	AUX
fuelectenerg-3305	50	3	observed	observe	VERB
fuelectenerg-3305	50	4	already	already	ADV
fuelectenerg-3305	50	5	in	in	ADP
fuelectenerg-3305	50	6	the	the	DET
fuelectenerg-3305	50	7	early	early	ADJ
fuelectenerg-3305	50	8	publications	publication	NOUN
fuelectenerg-3305	50	9	,	,	PUNCT
fuelectenerg-3305	50	10	when	when	SCONJ
fuelectenerg-3305	50	11	the	the	DET
fuelectenerg-3305	50	12	analysis	analysis	NOUN
fuelectenerg-3305	50	13	was	be	AUX
fuelectenerg-3305	50	14	restricted	restrict	VERB
fuelectenerg-3305	50	15	to	to	PART
fuelectenerg-3305	50	16	functions	function	NOUN
fuelectenerg-3305	50	17	up	up	ADP
fuelectenerg-3305	50	18	to	to	PART
fuelectenerg-3305	50	19	5	5	NUM
fuelectenerg-3305	50	20	variables	variable	NOUN
fuelectenerg-3305	50	21	,	,	PUNCT
fuelectenerg-3305	50	22	that	that	SCONJ
fuelectenerg-3305	50	23	there	there	PRON
fuelectenerg-3305	50	24	is	be	VERB
fuelectenerg-3305	50	25	some	some	DET
fuelectenerg-3305	50	26	inconsistency	inconsistency	NOUN
fuelectenerg-3305	50	27	when	when	SCONJ
fuelectenerg-3305	50	28	the	the	DET
fuelectenerg-3305	50	29	considerations	consideration	NOUN
fuelectenerg-3305	50	30	are	be	AUX
fuelectenerg-3305	50	31	restricted	restrict	VERB
fuelectenerg-3305	50	32	to	to	ADP
fuelectenerg-3305	50	33	the	the	DET
fuelectenerg-3305	50	34	realms	realm	NOUN
fuelectenerg-3305	50	35	of	of	ADP
fuelectenerg-3305	50	36	affine	affine	NOUN
fuelectenerg-3305	50	37	spectral	spectral	ADJ
fuelectenerg-3305	50	38	invariant	invariant	ADJ
fuelectenerg-3305	50	39	operations	operation	NOUN
fuelectenerg-3305	50	40	.	.	PUNCT
fuelectenerg-3305	51	1	starting	start	VERB
fuelectenerg-3305	51	2	from	from	ADP
fuelectenerg-3305	51	3	functions	function	NOUN
fuelectenerg-3305	51	4	of	of	ADP
fuelectenerg-3305	51	5	five	five	NUM
fuelectenerg-3305	51	6	variables	variable	NOUN
fuelectenerg-3305	51	7	,	,	PUNCT
fuelectenerg-3305	51	8	two	two	NUM
fuelectenerg-3305	51	9	different	different	ADJ
fuelectenerg-3305	51	10	classes	class	NOUN
fuelectenerg-3305	51	11	of	of	ADP
fuelectenerg-3305	51	12	functions	function	NOUN
fuelectenerg-3305	51	13	with	with	ADP
fuelectenerg-3305	51	14	flat	flat	ADJ
fuelectenerg-3305	51	15	spectra	spectra	NOUN
fuelectenerg-3305	51	16	have	have	VERB
fuelectenerg-3305	51	17	to	to	PART
fuelectenerg-3305	51	18	be	be	AUX
fuelectenerg-3305	51	19	considered	consider	VERB
fuelectenerg-3305	51	20	[	[	PUNCT
fuelectenerg-3305	51	21	12	12	NUM
fuelectenerg-3305	51	22	]	]	PUNCT
fuelectenerg-3305	51	23	,	,	PUNCT
fuelectenerg-3305	51	24	since	since	SCONJ
fuelectenerg-3305	51	25	functions	function	NOUN
fuelectenerg-3305	51	26	although	although	SCONJ
fuelectenerg-3305	51	27	satisfying	satisfy	VERB
fuelectenerg-3305	51	28	the	the	DET
fuelectenerg-3305	51	29	required	require	VERB
fuelectenerg-3305	51	30	conditions	condition	NOUN
fuelectenerg-3305	51	31	over	over	ADP
fuelectenerg-3305	51	32	canonic	canonic	ADJ
fuelectenerg-3305	51	33	vectors	vector	NOUN
fuelectenerg-3305	51	34	for	for	ADP
fuelectenerg-3305	51	35	being	be	AUX
fuelectenerg-3305	51	36	members	member	NOUN
fuelectenerg-3305	51	37	of	of	ADP
fuelectenerg-3305	51	38	the	the	DET
fuelectenerg-3305	51	39	class	class	NOUN
fuelectenerg-3305	51	40	with	with	ADP
fuelectenerg-3305	51	41	flat	flat	ADJ
fuelectenerg-3305	51	42	spectra	spectra	NOUN
fuelectenerg-3305	51	43	,	,	PUNCT
fuelectenerg-3305	51	44	can	can	AUX
fuelectenerg-3305	51	45	not	not	PART
fuelectenerg-3305	51	46	be	be	AUX
fuelectenerg-3305	51	47	converted	convert	VERB
fuelectenerg-3305	51	48	to	to	ADP
fuelectenerg-3305	51	49	each	each	DET
fuelectenerg-3305	51	50	an	an	DET
fuelectenerg-3305	51	51	improved	improved	ADJ
fuelectenerg-3305	51	52	spectral	spectral	ADJ
fuelectenerg-3305	51	53	classification	classification	NOUN
fuelectenerg-3305	51	54	of	of	ADP
fuelectenerg-3305	51	55	boolean	boolean	ADJ
fuelectenerg-3305	51	56	functions	function	NOUN
fuelectenerg-3305	51	57	...	...	PUNCT
fuelectenerg-3305	51	58	3	3	NUM
fuelectenerg-3305	51	59	other	other	ADJ
fuelectenerg-3305	51	60	with	with	ADP
fuelectenerg-3305	51	61	affine	affine	PROPN
fuelectenerg-3305	51	62	spectral	spectral	ADJ
fuelectenerg-3305	51	63	invariant	invariant	ADJ
fuelectenerg-3305	51	64	operations	operation	NOUN
fuelectenerg-3305	51	65	.	.	PUNCT
fuelectenerg-3305	52	1	also	also	ADV
fuelectenerg-3305	52	2	,	,	PUNCT
fuelectenerg-3305	52	3	the	the	DET
fuelectenerg-3305	52	4	functions	function	NOUN
fuelectenerg-3305	52	5	having	have	VERB
fuelectenerg-3305	52	6	solely	solely	ADV
fuelectenerg-3305	52	7	quadratic	quadratic	ADJ
fuelectenerg-3305	52	8	product	product	NOUN
fuelectenerg-3305	52	9	terms	term	NOUN
fuelectenerg-3305	52	10	in	in	ADP
fuelectenerg-3305	52	11	their	their	PRON
fuelectenerg-3305	52	12	reed	reed	NOUN
fuelectenerg-3305	52	13	-	-	PUNCT
fuelectenerg-3305	52	14	muller	muller	NOUN
fuelectenerg-3305	52	15	expressions	expression	NOUN
fuelectenerg-3305	52	16	are	be	AUX
fuelectenerg-3305	52	17	bent	bent	ADJ
fuelectenerg-3305	52	18	functions	function	NOUN
fuelectenerg-3305	52	19	meaning	mean	VERB
fuelectenerg-3305	52	20	that	that	SCONJ
fuelectenerg-3305	52	21	they	they	PRON
fuelectenerg-3305	52	22	have	have	VERB
fuelectenerg-3305	52	23	the	the	DET
fuelectenerg-3305	52	24	flat	flat	ADJ
fuelectenerg-3305	52	25	walsh	walsh	PROPN
fuelectenerg-3305	52	26	spectra	spectra	PROPN
fuelectenerg-3305	52	27	.	.	PUNCT
fuelectenerg-3305	53	1	bent	bent	ADJ
fuelectenerg-3305	53	2	functions	function	NOUN
fuelectenerg-3305	53	3	may	may	AUX
fuelectenerg-3305	53	4	have	have	VERB
fuelectenerg-3305	53	5	product	product	NOUN
fuelectenerg-3305	53	6	terms	term	NOUN
fuelectenerg-3305	53	7	with	with	ADP
fuelectenerg-3305	53	8	up	up	ADP
fuelectenerg-3305	53	9	to	to	ADP
fuelectenerg-3305	53	10	n/2	n/2	NOUN
fuelectenerg-3305	53	11	variables	variable	NOUN
fuelectenerg-3305	53	12	,	,	PUNCT
fuelectenerg-3305	53	13	and	and	CCONJ
fuelectenerg-3305	53	14	it	it	PRON
fuelectenerg-3305	53	15	means	mean	VERB
fuelectenerg-3305	53	16	they	they	PRON
fuelectenerg-3305	53	17	can	can	AUX
fuelectenerg-3305	53	18	not	not	PART
fuelectenerg-3305	53	19	be	be	AUX
fuelectenerg-3305	53	20	derived	derive	VERB
fuelectenerg-3305	53	21	from	from	ADP
fuelectenerg-3305	53	22	functions	function	NOUN
fuelectenerg-3305	53	23	with	with	ADP
fuelectenerg-3305	53	24	quadratic	quadratic	ADJ
fuelectenerg-3305	53	25	terms	term	NOUN
fuelectenerg-3305	53	26	by	by	ADP
fuelectenerg-3305	53	27	the	the	DET
fuelectenerg-3305	53	28	application	application	NOUN
fuelectenerg-3305	53	29	of	of	ADP
fuelectenerg-3305	53	30	affine	affine	NOUN
fuelectenerg-3305	53	31	spectral	spectral	ADJ
fuelectenerg-3305	53	32	invariant	invariant	ADJ
fuelectenerg-3305	53	33	operations	operation	NOUN
fuelectenerg-3305	53	34	since	since	SCONJ
fuelectenerg-3305	53	35	these	these	DET
fuelectenerg-3305	53	36	operations	operation	NOUN
fuelectenerg-3305	53	37	can	can	AUX
fuelectenerg-3305	53	38	not	not	PART
fuelectenerg-3305	53	39	be	be	AUX
fuelectenerg-3305	53	40	used	use	VERB
fuelectenerg-3305	53	41	to	to	PART
fuelectenerg-3305	53	42	increase	increase	VERB
fuelectenerg-3305	53	43	the	the	DET
fuelectenerg-3305	53	44	number	number	NOUN
fuelectenerg-3305	53	45	of	of	ADP
fuelectenerg-3305	53	46	variables	variable	NOUN
fuelectenerg-3305	53	47	in	in	ADP
fuelectenerg-3305	53	48	product	product	NOUN
fuelectenerg-3305	53	49	terms	term	NOUN
fuelectenerg-3305	53	50	.	.	PUNCT
fuelectenerg-3305	54	1	it	it	PRON
fuelectenerg-3305	54	2	is	be	AUX
fuelectenerg-3305	54	3	clear	clear	ADJ
fuelectenerg-3305	54	4	that	that	SCONJ
fuelectenerg-3305	54	5	there	there	PRON
fuelectenerg-3305	54	6	are	be	VERB
fuelectenerg-3305	54	7	some	some	DET
fuelectenerg-3305	54	8	other	other	ADJ
fuelectenerg-3305	54	9	operations	operation	NOUN
fuelectenerg-3305	54	10	beyond	beyond	ADP
fuelectenerg-3305	54	11	the	the	DET
fuelectenerg-3305	54	12	affine	affine	ADJ
fuelectenerg-3305	54	13	spectral	spectral	ADJ
fuelectenerg-3305	54	14	invariant	invariant	ADJ
fuelectenerg-3305	54	15	operations	operation	NOUN
fuelectenerg-3305	54	16	preserving	preserve	VERB
fuelectenerg-3305	54	17	the	the	DET
fuelectenerg-3305	54	18	absolute	absolute	ADJ
fuelectenerg-3305	54	19	values	value	NOUN
fuelectenerg-3305	54	20	of	of	ADP
fuelectenerg-3305	54	21	walsh	walsh	NOUN
fuelectenerg-3305	54	22	coefficients	coefficient	NOUN
fuelectenerg-3305	54	23	and	and	CCONJ
fuelectenerg-3305	54	24	in	in	ADP
fuelectenerg-3305	54	25	this	this	DET
fuelectenerg-3305	54	26	paper	paper	NOUN
fuelectenerg-3305	54	27	we	we	PRON
fuelectenerg-3305	54	28	present	present	VERB
fuelectenerg-3305	54	29	a	a	DET
fuelectenerg-3305	54	30	possible	possible	ADJ
fuelectenerg-3305	54	31	answer	answer	NOUN
fuelectenerg-3305	54	32	to	to	ADP
fuelectenerg-3305	54	33	this	this	DET
fuelectenerg-3305	54	34	problem	problem	NOUN
fuelectenerg-3305	54	35	by	by	ADP
fuelectenerg-3305	54	36	introducing	introduce	VERB
fuelectenerg-3305	54	37	a	a	DET
fuelectenerg-3305	54	38	new	new	ADJ
fuelectenerg-3305	54	39	spectral	spectral	ADJ
fuelectenerg-3305	54	40	invariant	invariant	ADJ
fuelectenerg-3305	54	41	operation	operation	NOUN
fuelectenerg-3305	54	42	the	the	DET
fuelectenerg-3305	54	43	effect	effect	NOUN
fuelectenerg-3305	54	44	of	of	ADP
fuelectenerg-3305	54	45	which	which	PRON
fuelectenerg-3305	54	46	becomes	become	VERB
fuelectenerg-3305	54	47	apparent	apparent	ADJ
fuelectenerg-3305	54	48	for	for	ADP
fuelectenerg-3305	54	49	functions	function	NOUN
fuelectenerg-3305	54	50	of	of	ADP
fuelectenerg-3305	54	51	n	n	NUM
fuelectenerg-3305	54	52	≥	≥	NUM
fuelectenerg-3305	54	53	5	5	NUM
fuelectenerg-3305	54	54	variables	variable	NOUN
fuelectenerg-3305	54	55	.	.	PUNCT
fuelectenerg-3305	55	1	2	2	NUM
fuelectenerg-3305	55	2	walsh	walsh	NOUN
fuelectenerg-3305	55	3	classification	classification	NOUN
fuelectenerg-3305	55	4	of	of	ADP
fuelectenerg-3305	55	5	boolean	boolean	ADJ
fuelectenerg-3305	55	6	functions	function	NOUN
fuelectenerg-3305	55	7	classification	classification	NOUN
fuelectenerg-3305	55	8	of	of	ADP
fuelectenerg-3305	55	9	boolean	boolean	ADJ
fuelectenerg-3305	55	10	functions	function	NOUN
fuelectenerg-3305	55	11	in	in	ADP
fuelectenerg-3305	55	12	terms	term	NOUN
fuelectenerg-3305	55	13	of	of	ADP
fuelectenerg-3305	55	14	walsh	walsh	PROPN
fuelectenerg-3305	55	15	spectral	spectral	ADJ
fuelectenerg-3305	55	16	coefficients	coefficient	NOUN
fuelectenerg-3305	55	17	has	have	AUX
fuelectenerg-3305	55	18	been	be	AUX
fuelectenerg-3305	55	19	discussed	discuss	VERB
fuelectenerg-3305	55	20	in	in	ADP
fuelectenerg-3305	55	21	a	a	DET
fuelectenerg-3305	55	22	series	series	NOUN
fuelectenerg-3305	55	23	of	of	ADP
fuelectenerg-3305	55	24	papers	paper	NOUN
fuelectenerg-3305	55	25	with	with	ADP
fuelectenerg-3305	55	26	the	the	DET
fuelectenerg-3305	55	27	first	first	ADJ
fuelectenerg-3305	55	28	of	of	ADP
fuelectenerg-3305	55	29	them	they	PRON
fuelectenerg-3305	55	30	published	publish	VERB
fuelectenerg-3305	55	31	in	in	ADP
fuelectenerg-3305	55	32	the	the	DET
fuelectenerg-3305	55	33	sixties	sixty	NOUN
fuelectenerg-3305	55	34	and	and	CCONJ
fuelectenerg-3305	55	35	seventies	seventy	NOUN
fuelectenerg-3305	55	36	of	of	ADP
fuelectenerg-3305	55	37	the	the	DET
fuelectenerg-3305	55	38	last	last	ADJ
fuelectenerg-3305	55	39	century	century	NOUN
fuelectenerg-3305	56	1	[	[	X
fuelectenerg-3305	56	2	11	11	NUM
fuelectenerg-3305	56	3	]	]	PUNCT
fuelectenerg-3305	56	4	,	,	PUNCT
fuelectenerg-3305	56	5	[	[	X
fuelectenerg-3305	56	6	12	12	NUM
fuelectenerg-3305	56	7	]	]	PUNCT
fuelectenerg-3305	56	8	,	,	PUNCT
fuelectenerg-3305	56	9	[	[	X
fuelectenerg-3305	56	10	13	13	NUM
fuelectenerg-3305	56	11	]	]	PUNCT
fuelectenerg-3305	56	12	,	,	PUNCT
fuelectenerg-3305	56	13	[	[	X
fuelectenerg-3305	56	14	14	14	NUM
fuelectenerg-3305	56	15	]	]	PUNCT
fuelectenerg-3305	56	16	,	,	PUNCT
fuelectenerg-3305	56	17	[	[	X
fuelectenerg-3305	56	18	15	15	NUM
fuelectenerg-3305	56	19	]	]	PUNCT
fuelectenerg-3305	56	20	.	.	PUNCT
fuelectenerg-3305	57	1	the	the	DET
fuelectenerg-3305	57	2	walsh	walsh	PROPN
fuelectenerg-3305	57	3	transform	transform	NOUN
fuelectenerg-3305	57	4	in	in	ADP
fuelectenerg-3305	57	5	the	the	DET
fuelectenerg-3305	57	6	hadamard	hadamard	ADJ
fuelectenerg-3305	57	7	ordering	ordering	NOUN
fuelectenerg-3305	57	8	is	be	AUX
fuelectenerg-3305	57	9	used	use	VERB
fuelectenerg-3305	57	10	,	,	PUNCT
fuelectenerg-3305	57	11	since	since	SCONJ
fuelectenerg-3305	57	12	in	in	ADP
fuelectenerg-3305	57	13	this	this	PRON
fuelectenerg-3305	57	14	ordering	order	VERB
fuelectenerg-3305	57	15	the	the	DET
fuelectenerg-3305	57	16	structure	structure	NOUN
fuelectenerg-3305	57	17	of	of	ADP
fuelectenerg-3305	57	18	the	the	DET
fuelectenerg-3305	57	19	transform	transform	NOUN
fuelectenerg-3305	57	20	matrix	matrix	NOUN
fuelectenerg-3305	57	21	corresponds	correspond	VERB
fuelectenerg-3305	57	22	to	to	ADP
fuelectenerg-3305	57	23	the	the	DET
fuelectenerg-3305	57	24	recursive	recursive	ADJ
fuelectenerg-3305	57	25	structure	structure	NOUN
fuelectenerg-3305	57	26	of	of	ADP
fuelectenerg-3305	57	27	the	the	DET
fuelectenerg-3305	57	28	domain	domain	NOUN
fuelectenerg-3305	57	29	for	for	ADP
fuelectenerg-3305	57	30	boolean	boolean	ADJ
fuelectenerg-3305	57	31	functions	function	NOUN
fuelectenerg-3305	57	32	viewed	view	VERB
fuelectenerg-3305	57	33	as	as	ADP
fuelectenerg-3305	57	34	a	a	DET
fuelectenerg-3305	57	35	decomposable	decomposable	ADJ
fuelectenerg-3305	57	36	abelian	abelian	ADJ
fuelectenerg-3305	57	37	group	group	NOUN
fuelectenerg-3305	58	1	[	[	X
fuelectenerg-3305	58	2	3	3	NUM
fuelectenerg-3305	58	3	]	]	PUNCT
fuelectenerg-3305	58	4	.	.	PUNCT
fuelectenerg-3305	59	1	links	link	NOUN
fuelectenerg-3305	59	2	to	to	ADP
fuelectenerg-3305	59	3	the	the	DET
fuelectenerg-3305	59	4	hadamard	hadamard	ADJ
fuelectenerg-3305	59	5	matrices	matrix	NOUN
fuelectenerg-3305	59	6	are	be	AUX
fuelectenerg-3305	59	7	used	use	VERB
fuelectenerg-3305	59	8	[	[	PUNCT
fuelectenerg-3305	59	9	2	2	NUM
fuelectenerg-3305	59	10	]	]	PUNCT
fuelectenerg-3305	59	11	,	,	PUNCT
fuelectenerg-3305	59	12	[	[	X
fuelectenerg-3305	59	13	3	3	NUM
fuelectenerg-3305	59	14	]	]	PUNCT
fuelectenerg-3305	59	15	,	,	PUNCT
fuelectenerg-3305	59	16	[	[	X
fuelectenerg-3305	59	17	12	12	NUM
fuelectenerg-3305	59	18	]	]	PUNCT
fuelectenerg-3305	59	19	,	,	PUNCT
fuelectenerg-3305	59	20	[	[	X
fuelectenerg-3305	59	21	16	16	NUM
fuelectenerg-3305	59	22	]	]	PUNCT
fuelectenerg-3305	59	23	.	.	PUNCT
fuelectenerg-3305	60	1	2.1	2.1	NUM
fuelectenerg-3305	60	2	walsh	walsh	NOUN
fuelectenerg-3305	60	3	spectrum	spectrum	NOUN
fuelectenerg-3305	60	4	definition	definition	NOUN
fuelectenerg-3305	60	5	1	1	NUM
fuelectenerg-3305	60	6	walsh	walsh	NOUN
fuelectenerg-3305	60	7	spectrum	spectrum	NOUN
fuelectenerg-3305	60	8	.	.	PUNCT
fuelectenerg-3305	61	1	in	in	ADP
fuelectenerg-3305	61	2	the	the	DET
fuelectenerg-3305	61	3	so	so	ADV
fuelectenerg-3305	61	4	-	-	PUNCT
fuelectenerg-3305	61	5	called	call	VERB
fuelectenerg-3305	61	6	hadamard	hadamard	PROPN
fuelectenerg-3305	61	7	ordering	ordering	NOUN
fuelectenerg-3305	61	8	,	,	PUNCT
fuelectenerg-3305	61	9	the	the	DET
fuelectenerg-3305	61	10	walsh	walsh	PROPN
fuelectenerg-3305	61	11	spectrum	spectrum	NOUN
fuelectenerg-3305	61	12	sf	sf	PROPN
fuelectenerg-3305	61	13	(	(	PUNCT
fuelectenerg-3305	61	14	n	n	CCONJ
fuelectenerg-3305	61	15	)	)	PUNCT
fuelectenerg-3305	61	16	of	of	ADP
fuelectenerg-3305	61	17	a	a	DET
fuelectenerg-3305	61	18	boolean	boolean	ADJ
fuelectenerg-3305	61	19	function	function	NOUN
fuelectenerg-3305	61	20	f(x1	f(x1	NOUN
fuelectenerg-3305	61	21	,	,	PUNCT
fuelectenerg-3305	61	22	·	·	PUNCT
fuelectenerg-3305	61	23	·	·	PUNCT
fuelectenerg-3305	61	24	·	·	PUNCT
fuelectenerg-3305	61	25	,	,	PUNCT
fuelectenerg-3305	61	26	xn	xn	X
fuelectenerg-3305	61	27	)	)	PUNCT
fuelectenerg-3305	61	28	is	be	AUX
fuelectenerg-3305	61	29	defined	define	VERB
fuelectenerg-3305	61	30	as	as	ADP
fuelectenerg-3305	61	31	sf	sf	PROPN
fuelectenerg-3305	61	32	(	(	PUNCT
fuelectenerg-3305	61	33	n	n	CCONJ
fuelectenerg-3305	61	34	)	)	PUNCT
fuelectenerg-3305	61	35	=	=	SYM
fuelectenerg-3305	61	36	w(n)f(n	w(n)f(n	NOUN
fuelectenerg-3305	61	37	)	)	PUNCT
fuelectenerg-3305	61	38	=	=	PUNCT
fuelectenerg-3305	61	39	w(1)⊗nf(n	w(1)⊗nf(n	PROPN
fuelectenerg-3305	61	40	)	)	PUNCT
fuelectenerg-3305	61	41	,	,	PUNCT
fuelectenerg-3305	61	42	(	(	PUNCT
fuelectenerg-3305	61	43	1	1	X
fuelectenerg-3305	61	44	)	)	PUNCT
fuelectenerg-3305	61	45	where	where	SCONJ
fuelectenerg-3305	61	46	⊗	⊗	PROPN
fuelectenerg-3305	61	47	denotes	denote	VERB
fuelectenerg-3305	61	48	the	the	DET
fuelectenerg-3305	61	49	kronecker	kronecker	NOUN
fuelectenerg-3305	61	50	product	product	NOUN
fuelectenerg-3305	61	51	,	,	PUNCT
fuelectenerg-3305	61	52	w(1	w(1	PROPN
fuelectenerg-3305	61	53	)	)	PUNCT
fuelectenerg-3305	62	1	=	=	PUNCT
fuelectenerg-3305	62	2	[	[	PUNCT
fuelectenerg-3305	62	3	1	1	NUM
fuelectenerg-3305	62	4	1	1	NUM
fuelectenerg-3305	62	5	1	1	NUM
fuelectenerg-3305	62	6	−1	−1	NOUN
fuelectenerg-3305	62	7	]	]	PUNCT
fuelectenerg-3305	62	8	,	,	PUNCT
fuelectenerg-3305	62	9	and	and	CCONJ
fuelectenerg-3305	62	10	f(n	f(n	PROPN
fuelectenerg-3305	62	11	)	)	PUNCT
fuelectenerg-3305	62	12	is	be	AUX
fuelectenerg-3305	62	13	the	the	DET
fuelectenerg-3305	62	14	value	value	NOUN
fuelectenerg-3305	62	15	vector	vector	NOUN
fuelectenerg-3305	62	16	of	of	ADP
fuelectenerg-3305	62	17	the	the	DET
fuelectenerg-3305	62	18	function	function	NOUN
fuelectenerg-3305	62	19	f	f	PROPN
fuelectenerg-3305	62	20	in	in	ADP
fuelectenerg-3305	62	21	the	the	DET
fuelectenerg-3305	62	22	(	(	PUNCT
fuelectenerg-3305	62	23	0	0	NUM
fuelectenerg-3305	62	24	,	,	PUNCT
fuelectenerg-3305	62	25	1	1	NUM
fuelectenerg-3305	62	26	)	)	PUNCT
fuelectenerg-3305	62	27	→	→	SYM
fuelectenerg-3305	62	28	(	(	PUNCT
fuelectenerg-3305	62	29	1,−1	1,−1	NUM
fuelectenerg-3305	62	30	)	)	PUNCT
fuelectenerg-3305	62	31	encoding	encoding	NOUN
fuelectenerg-3305	62	32	,	,	PUNCT
fuelectenerg-3305	62	33	i.e.	i.e.	X
fuelectenerg-3305	62	34	,	,	PUNCT
fuelectenerg-3305	62	35	f(n	f(n	PROPN
fuelectenerg-3305	62	36	)	)	PUNCT
fuelectenerg-3305	62	37	=	=	PUNCT
fuelectenerg-3305	63	1	[	[	X
fuelectenerg-3305	63	2	(	(	PUNCT
fuelectenerg-3305	63	3	−1)f(0	−1)f(0	NOUN
fuelectenerg-3305	63	4	)	)	PUNCT
fuelectenerg-3305	63	5	,	,	PUNCT
fuelectenerg-3305	63	6	(	(	PUNCT
fuelectenerg-3305	63	7	−1)f(1	−1)f(1	NOUN
fuelectenerg-3305	63	8	)	)	PUNCT
fuelectenerg-3305	63	9	,	,	PUNCT
fuelectenerg-3305	63	10	·	·	PUNCT
fuelectenerg-3305	63	11	·	·	PUNCT
fuelectenerg-3305	63	12	·	·	PUNCT
fuelectenerg-3305	63	13	,	,	PUNCT
fuelectenerg-3305	63	14	(	(	PUNCT
fuelectenerg-3305	63	15	−1)f(2	−1)f(2	ADV
fuelectenerg-3305	63	16	n−1	n−1	PROPN
fuelectenerg-3305	63	17	)	)	PUNCT
fuelectenerg-3305	63	18	]	]	PUNCT
fuelectenerg-3305	63	19	.	.	PUNCT
fuelectenerg-3305	64	1	the	the	DET
fuelectenerg-3305	64	2	walsh	walsh	PROPN
fuelectenerg-3305	64	3	spectrum	spectrum	NOUN
fuelectenerg-3305	64	4	sf	sf	PROPN
fuelectenerg-3305	64	5	(	(	PUNCT
fuelectenerg-3305	64	6	n	n	CCONJ
fuelectenerg-3305	64	7	)	)	PUNCT
fuelectenerg-3305	64	8	of	of	ADP
fuelectenerg-3305	64	9	a	a	DET
fuelectenerg-3305	64	10	function	function	NOUN
fuelectenerg-3305	64	11	of	of	ADP
fuelectenerg-3305	64	12	n	n	PRON
fuelectenerg-3305	64	13	binary	binary	ADJ
fuelectenerg-3305	64	14	variables	variable	NOUN
fuelectenerg-3305	64	15	is	be	AUX
fuelectenerg-3305	64	16	a	a	DET
fuelectenerg-3305	64	17	vector	vector	NOUN
fuelectenerg-3305	64	18	of	of	ADP
fuelectenerg-3305	64	19	2n	2n	NUM
fuelectenerg-3305	64	20	coefficients	coefficient	NOUN
fuelectenerg-3305	64	21	.	.	PUNCT
fuelectenerg-3305	65	1	here	here	ADV
fuelectenerg-3305	65	2	we	we	PRON
fuelectenerg-3305	65	3	will	will	AUX
fuelectenerg-3305	65	4	use	use	VERB
fuelectenerg-3305	65	5	a	a	DET
fuelectenerg-3305	65	6	notation	notation	NOUN
fuelectenerg-3305	65	7	for	for	ADP
fuelectenerg-3305	65	8	spectral	spectral	ADJ
fuelectenerg-3305	65	9	coefficients	coefficient	NOUN
fuelectenerg-3305	65	10	with	with	ADP
fuelectenerg-3305	65	11	binary	binary	ADJ
fuelectenerg-3305	65	12	subscripts	subscript	NOUN
fuelectenerg-3305	65	13	sb1,b2	sb1,b2	PROPN
fuelectenerg-3305	65	14	,	,	PUNCT
fuelectenerg-3305	65	15	·	·	PUNCT
fuelectenerg-3305	65	16	·	·	PUNCT
fuelectenerg-3305	65	17	·	·	PUNCT
fuelectenerg-3305	65	18	,	,	PUNCT
fuelectenerg-3305	65	19	bn	bn	INTJ
fuelectenerg-3305	65	20	where	where	SCONJ
fuelectenerg-3305	65	21	bi	bi	PROPN
fuelectenerg-3305	65	22	∈	∈	PROPN
fuelectenerg-3305	65	23	{	{	PUNCT
fuelectenerg-3305	65	24	0	0	NUM
fuelectenerg-3305	65	25	,	,	PUNCT
fuelectenerg-3305	65	26	1	1	NUM
fuelectenerg-3305	65	27	}	}	PUNCT
fuelectenerg-3305	65	28	,	,	PUNCT
fuelectenerg-3305	65	29	i	i	PRON
fuelectenerg-3305	65	30	=	=	NOUN
fuelectenerg-3305	65	31	1	1	NUM
fuelectenerg-3305	65	32	,	,	PUNCT
fuelectenerg-3305	65	33	2	2	NUM
fuelectenerg-3305	65	34	,	,	PUNCT
fuelectenerg-3305	65	35	·	·	PUNCT
fuelectenerg-3305	65	36	·	·	PUNCT
fuelectenerg-3305	65	37	·	·	PUNCT
fuelectenerg-3305	65	38	,	,	PUNCT
fuelectenerg-3305	65	39	n	n	CCONJ
fuelectenerg-3305	65	40	sf	sf	X
fuelectenerg-3305	65	41	(	(	PUNCT
fuelectenerg-3305	65	42	n	n	CCONJ
fuelectenerg-3305	65	43	)	)	PUNCT
fuelectenerg-3305	65	44	=	=	PUNCT
fuelectenerg-3305	66	1	[	[	X
fuelectenerg-3305	66	2	s00	s00	NOUN
fuelectenerg-3305	66	3	...	...	PUNCT
fuelectenerg-3305	66	4	0	0	NUM
fuelectenerg-3305	66	5	,	,	PUNCT
fuelectenerg-3305	66	6	s00	s00	NOUN
fuelectenerg-3305	66	7	...	...	PUNCT
fuelectenerg-3305	66	8	1	1	NUM
fuelectenerg-3305	66	9	,	,	PUNCT
fuelectenerg-3305	66	10	·	·	PUNCT
fuelectenerg-3305	66	11	·	·	PUNCT
fuelectenerg-3305	66	12	·	·	PUNCT
fuelectenerg-3305	66	13	,	,	PUNCT
fuelectenerg-3305	66	14	s11	s11	PROPN
fuelectenerg-3305	66	15	...	...	SYM
fuelectenerg-3305	66	16	1	1	NUM
fuelectenerg-3305	66	17	]	]	PUNCT
fuelectenerg-3305	66	18	.	.	PUNCT
fuelectenerg-3305	67	1	190	190	NUM
fuelectenerg-3305	67	2	m.	m.	NOUN
fuelectenerg-3305	67	3	stanković	stanković	NOUN
fuelectenerg-3305	67	4	,	,	PUNCT
fuelectenerg-3305	67	5	c.	c.	PROPN
fuelectenerg-3305	67	6	moraga	moraga	PROPN
fuelectenerg-3305	67	7	,	,	PUNCT
fuelectenerg-3305	67	8	r.	r.	PROPN
fuelectenerg-3305	67	9	s.	s.	PROPN
fuelectenerg-3305	67	10	stanković	stanković	PROPN
fuelectenerg-3305	67	11	an	an	DET
fuelectenerg-3305	67	12	improved	improved	ADJ
fuelectenerg-3305	67	13	spectral	spectral	ADJ
fuelectenerg-3305	67	14	classification	classification	NOUN
fuelectenerg-3305	67	15	of	of	ADP
fuelectenerg-3305	67	16	boolean	boolean	ADJ
fuelectenerg-3305	67	17	functions	function	NOUN
fuelectenerg-3305	67	18	...	...	PUNCT
fuelectenerg-3305	67	19	191	191	NUM
fuelectenerg-3305	67	20	2	2	NUM
fuelectenerg-3305	67	21	m.	m.	NOUN
fuelectenerg-3305	67	22	stankovic	stankovic	PROPN
fuelectenerg-3305	67	23	,	,	PUNCT
fuelectenerg-3305	67	24	c.	c.	PROPN
fuelectenerg-3305	67	25	moraga	moraga	PROPN
fuelectenerg-3305	67	26	,	,	PUNCT
fuelectenerg-3305	67	27	r.	r.	PROPN
fuelectenerg-3305	67	28	s.	s.	PROPN
fuelectenerg-3305	67	29	stanković	stanković	PROPN
fuelectenerg-3305	68	1	keywords	keyword	NOUN
fuelectenerg-3305	68	2	:	:	PUNCT
fuelectenerg-3305	68	3	boolean	boolean	ADJ
fuelectenerg-3305	68	4	functions	function	NOUN
fuelectenerg-3305	68	5	,	,	PUNCT
fuelectenerg-3305	68	6	classification	classification	NOUN
fuelectenerg-3305	68	7	,	,	PUNCT
fuelectenerg-3305	68	8	walsh	walsh	PROPN
fuelectenerg-3305	68	9	spectrum	spectrum	PROPN
fuelectenerg-3305	68	10	,	,	PUNCT
fuelectenerg-3305	68	11	invarant	invarant	ADJ
fuelectenerg-3305	68	12	operations	operation	NOUN
fuelectenerg-3305	68	13	.	.	PUNCT
fuelectenerg-3305	69	1	1	1	NUM
fuelectenerg-3305	69	2	introduction	introduction	NOUN
fuelectenerg-3305	69	3	classification	classification	NOUN
fuelectenerg-3305	69	4	of	of	ADP
fuelectenerg-3305	69	5	boolean	boolean	ADJ
fuelectenerg-3305	69	6	functions	function	NOUN
fuelectenerg-3305	69	7	is	be	AUX
fuelectenerg-3305	69	8	a	a	DET
fuelectenerg-3305	69	9	classical	classical	ADJ
fuelectenerg-3305	69	10	and	and	CCONJ
fuelectenerg-3305	69	11	well	well	ADV
fuelectenerg-3305	69	12	explored	explore	VERB
fuelectenerg-3305	69	13	problem	problem	NOUN
fuelectenerg-3305	69	14	in	in	ADP
fuelectenerg-3305	69	15	switching	switch	VERB
fuelectenerg-3305	69	16	theory	theory	NOUN
fuelectenerg-3305	69	17	[	[	X
fuelectenerg-3305	69	18	1	1	NUM
fuelectenerg-3305	69	19	]	]	PUNCT
fuelectenerg-3305	69	20	.	.	PUNCT
fuelectenerg-3305	70	1	boolean	boolean	ADJ
fuelectenerg-3305	70	2	functions	function	NOUN
fuelectenerg-3305	70	3	can	can	AUX
fuelectenerg-3305	70	4	be	be	AUX
fuelectenerg-3305	70	5	classified	classify	VERB
fuelectenerg-3305	70	6	for	for	ADP
fuelectenerg-3305	70	7	different	different	ADJ
fuelectenerg-3305	70	8	purposes	purpose	NOUN
fuelectenerg-3305	70	9	.	.	PUNCT
fuelectenerg-3305	71	1	two	two	NUM
fuelectenerg-3305	71	2	of	of	ADP
fuelectenerg-3305	71	3	them	they	PRON
fuelectenerg-3305	71	4	that	that	PRON
fuelectenerg-3305	71	5	are	be	AUX
fuelectenerg-3305	71	6	most	most	ADV
fuelectenerg-3305	71	7	usually	usually	ADV
fuelectenerg-3305	71	8	reported	report	VERB
fuelectenerg-3305	71	9	,	,	PUNCT
fuelectenerg-3305	71	10	npn	npn	NOUN
fuelectenerg-3305	71	11	and	and	CCONJ
fuelectenerg-3305	71	12	lp	lp	ADJ
fuelectenerg-3305	71	13	classifications	classification	NOUN
fuelectenerg-3305	71	14	,	,	PUNCT
fuelectenerg-3305	71	15	are	be	AUX
fuelectenerg-3305	71	16	related	relate	VERB
fuelectenerg-3305	71	17	to	to	ADP
fuelectenerg-3305	71	18	technology	technology	NOUN
fuelectenerg-3305	71	19	mapping	mapping	NOUN
fuelectenerg-3305	71	20	in	in	ADP
fuelectenerg-3305	71	21	logic	logic	ADJ
fuelectenerg-3305	71	22	synthesis	synthesis	NOUN
fuelectenerg-3305	71	23	with	with	ADP
fuelectenerg-3305	71	24	standard	standard	ADJ
fuelectenerg-3305	71	25	gate	gate	NOUN
fuelectenerg-3305	71	26	libraries	library	NOUN
fuelectenerg-3305	71	27	or	or	CCONJ
fuelectenerg-3305	71	28	in	in	ADP
fuelectenerg-3305	71	29	fpga	fpga	NOUN
fuelectenerg-3305	71	30	synthesis	synthesis	NOUN
fuelectenerg-3305	71	31	and	and	CCONJ
fuelectenerg-3305	71	32	unification	unification	NOUN
fuelectenerg-3305	71	33	and	and	CCONJ
fuelectenerg-3305	71	34	simplification	simplification	NOUN
fuelectenerg-3305	71	35	of	of	ADP
fuelectenerg-3305	71	36	testing	testing	NOUN
fuelectenerg-3305	71	37	procedures	procedure	NOUN
fuelectenerg-3305	71	38	[	[	X
fuelectenerg-3305	71	39	2	2	NUM
fuelectenerg-3305	71	40	]	]	PUNCT
fuelectenerg-3305	71	41	,	,	PUNCT
fuelectenerg-3305	71	42	[	[	X
fuelectenerg-3305	71	43	3	3	NUM
fuelectenerg-3305	71	44	]	]	PUNCT
fuelectenerg-3305	71	45	.	.	PUNCT
fuelectenerg-3305	72	1	classification	classification	NOUN
fuelectenerg-3305	72	2	can	can	AUX
fuelectenerg-3305	72	3	be	be	AUX
fuelectenerg-3305	72	4	performed	perform	VERB
fuelectenerg-3305	72	5	with	with	ADP
fuelectenerg-3305	72	6	respect	respect	NOUN
fuelectenerg-3305	72	7	to	to	ADP
fuelectenerg-3305	72	8	various	various	ADJ
fuelectenerg-3305	72	9	criteria	criterion	NOUN
fuelectenerg-3305	72	10	usually	usually	ADV
fuelectenerg-3305	72	11	appropriately	appropriately	ADV
fuelectenerg-3305	72	12	defined	define	VERB
fuelectenerg-3305	72	13	to	to	PART
fuelectenerg-3305	72	14	serve	serve	VERB
fuelectenerg-3305	72	15	certain	certain	ADJ
fuelectenerg-3305	72	16	application	application	NOUN
fuelectenerg-3305	72	17	purposes	purpose	NOUN
fuelectenerg-3305	72	18	.	.	PUNCT
fuelectenerg-3305	73	1	the	the	DET
fuelectenerg-3305	73	2	present	present	ADJ
fuelectenerg-3305	73	3	interest	interest	NOUN
fuelectenerg-3305	73	4	of	of	ADP
fuelectenerg-3305	73	5	some	some	DET
fuelectenerg-3305	73	6	researchers	researcher	NOUN
fuelectenerg-3305	73	7	in	in	ADP
fuelectenerg-3305	73	8	classification	classification	NOUN
fuelectenerg-3305	73	9	with	with	ADP
fuelectenerg-3305	73	10	respect	respect	NOUN
fuelectenerg-3305	73	11	to	to	ADP
fuelectenerg-3305	73	12	walsh	walsh	PROPN
fuelectenerg-3305	73	13	spectral	spectral	ADJ
fuelectenerg-3305	73	14	coefficients	coefficient	NOUN
fuelectenerg-3305	73	15	,	,	PUNCT
fuelectenerg-3305	73	16	which	which	PRON
fuelectenerg-3305	73	17	we	we	PRON
fuelectenerg-3305	73	18	will	will	AUX
fuelectenerg-3305	73	19	shortly	shortly	ADV
fuelectenerg-3305	73	20	denote	denote	VERB
fuelectenerg-3305	73	21	as	as	ADP
fuelectenerg-3305	73	22	the	the	DET
fuelectenerg-3305	73	23	walsh	walsh	PROPN
fuelectenerg-3305	73	24	classification	classification	NOUN
fuelectenerg-3305	73	25	,	,	PUNCT
fuelectenerg-3305	73	26	is	be	AUX
fuelectenerg-3305	73	27	due	due	ADJ
fuelectenerg-3305	73	28	to	to	ADP
fuelectenerg-3305	73	29	the	the	DET
fuelectenerg-3305	73	30	spectral	spectral	ADJ
fuelectenerg-3305	73	31	characterization	characterization	NOUN
fuelectenerg-3305	73	32	of	of	ADP
fuelectenerg-3305	73	33	some	some	DET
fuelectenerg-3305	73	34	classes	class	NOUN
fuelectenerg-3305	73	35	of	of	ADP
fuelectenerg-3305	73	36	boolean	boolean	ADJ
fuelectenerg-3305	73	37	functions	function	NOUN
fuelectenerg-3305	73	38	used	use	VERB
fuelectenerg-3305	73	39	in	in	ADP
fuelectenerg-3305	73	40	cryptography	cryptography	NOUN
fuelectenerg-3305	73	41	[	[	X
fuelectenerg-3305	73	42	4	4	NUM
fuelectenerg-3305	73	43	]	]	PUNCT
fuelectenerg-3305	73	44	,	,	PUNCT
fuelectenerg-3305	73	45	[	[	X
fuelectenerg-3305	73	46	5	5	NUM
fuelectenerg-3305	73	47	]	]	PUNCT
fuelectenerg-3305	73	48	,	,	PUNCT
fuelectenerg-3305	73	49	[	[	X
fuelectenerg-3305	73	50	6	6	NUM
fuelectenerg-3305	73	51	]	]	PUNCT
fuelectenerg-3305	73	52	,	,	PUNCT
fuelectenerg-3305	73	53	[	[	X
fuelectenerg-3305	73	54	7	7	NUM
fuelectenerg-3305	73	55	]	]	PUNCT
fuelectenerg-3305	73	56	,	,	PUNCT
fuelectenerg-3305	73	57	[	[	X
fuelectenerg-3305	73	58	8	8	NUM
fuelectenerg-3305	73	59	]	]	PUNCT
fuelectenerg-3305	73	60	,	,	PUNCT
fuelectenerg-3305	73	61	[	[	X
fuelectenerg-3305	73	62	9	9	NUM
fuelectenerg-3305	73	63	]	]	PUNCT
fuelectenerg-3305	73	64	.	.	PUNCT
fuelectenerg-3305	74	1	in	in	ADP
fuelectenerg-3305	74	2	particular	particular	ADJ
fuelectenerg-3305	74	3	,	,	PUNCT
fuelectenerg-3305	74	4	bent	bent	ADJ
fuelectenerg-3305	74	5	functions	function	NOUN
fuelectenerg-3305	74	6	[	[	X
fuelectenerg-3305	74	7	10	10	NUM
fuelectenerg-3305	74	8	]	]	PUNCT
fuelectenerg-3305	74	9	which	which	PRON
fuelectenerg-3305	74	10	are	be	AUX
fuelectenerg-3305	74	11	defined	define	VERB
fuelectenerg-3305	74	12	as	as	ADP
fuelectenerg-3305	74	13	boolean	boolean	ADJ
fuelectenerg-3305	74	14	functions	function	NOUN
fuelectenerg-3305	74	15	that	that	PRON
fuelectenerg-3305	74	16	have	have	VERB
fuelectenerg-3305	74	17	maximal	maximal	ADJ
fuelectenerg-3305	74	18	minimum	minimum	ADJ
fuelectenerg-3305	74	19	distance	distance	NOUN
fuelectenerg-3305	74	20	to	to	ADP
fuelectenerg-3305	74	21	the	the	DET
fuelectenerg-3305	74	22	set	set	NOUN
fuelectenerg-3305	74	23	of	of	ADP
fuelectenerg-3305	74	24	affine	affine	NOUN
fuelectenerg-3305	74	25	functions	function	NOUN
fuelectenerg-3305	74	26	,	,	PUNCT
fuelectenerg-3305	74	27	are	be	AUX
fuelectenerg-3305	74	28	alternatively	alternatively	ADV
fuelectenerg-3305	74	29	defined	define	VERB
fuelectenerg-3305	74	30	as	as	ADP
fuelectenerg-3305	74	31	boolean	boolean	ADJ
fuelectenerg-3305	74	32	functions	function	NOUN
fuelectenerg-3305	74	33	with	with	ADP
fuelectenerg-3305	74	34	flat	flat	ADJ
fuelectenerg-3305	74	35	walsh	walsh	NOUN
fuelectenerg-3305	74	36	spectra	spectra	NOUN
fuelectenerg-3305	74	37	,	,	PUNCT
fuelectenerg-3305	74	38	meaning	mean	VERB
fuelectenerg-3305	74	39	that	that	SCONJ
fuelectenerg-3305	74	40	all	all	DET
fuelectenerg-3305	74	41	the	the	DET
fuelectenerg-3305	74	42	walsh	walsh	NOUN
fuelectenerg-3305	74	43	coefficients	coefficient	NOUN
fuelectenerg-3305	74	44	have	have	VERB
fuelectenerg-3305	74	45	the	the	DET
fuelectenerg-3305	74	46	same	same	ADJ
fuelectenerg-3305	74	47	absolute	absolute	ADJ
fuelectenerg-3305	74	48	value	value	NOUN
fuelectenerg-3305	74	49	equal	equal	ADJ
fuelectenerg-3305	74	50	to	to	ADP
fuelectenerg-3305	74	51	2n/2	2n/2	NUM
fuelectenerg-3305	74	52	,	,	PUNCT
fuelectenerg-3305	74	53	where	where	SCONJ
fuelectenerg-3305	74	54	n	n	X
fuelectenerg-3305	74	55	is	be	AUX
fuelectenerg-3305	74	56	the	the	DET
fuelectenerg-3305	74	57	number	number	NOUN
fuelectenerg-3305	74	58	of	of	ADP
fuelectenerg-3305	74	59	variables	variable	NOUN
fuelectenerg-3305	74	60	.	.	PUNCT
fuelectenerg-3305	75	1	this	this	DET
fuelectenerg-3305	75	2	requirement	requirement	NOUN
fuelectenerg-3305	75	3	implies	imply	VERB
fuelectenerg-3305	75	4	that	that	SCONJ
fuelectenerg-3305	75	5	all	all	DET
fuelectenerg-3305	75	6	bent	bent	ADJ
fuelectenerg-3305	75	7	functions	function	NOUN
fuelectenerg-3305	75	8	for	for	ADP
fuelectenerg-3305	75	9	a	a	DET
fuelectenerg-3305	75	10	given	give	VERB
fuelectenerg-3305	75	11	n	n	PRON
fuelectenerg-3305	75	12	belong	belong	VERB
fuelectenerg-3305	75	13	to	to	ADP
fuelectenerg-3305	75	14	the	the	DET
fuelectenerg-3305	75	15	same	same	ADJ
fuelectenerg-3305	75	16	class	class	NOUN
fuelectenerg-3305	75	17	in	in	ADP
fuelectenerg-3305	75	18	the	the	DET
fuelectenerg-3305	75	19	walsh	walsh	NOUN
fuelectenerg-3305	75	20	classification	classification	NOUN
fuelectenerg-3305	75	21	of	of	ADP
fuelectenerg-3305	75	22	boolean	boolean	ADJ
fuelectenerg-3305	75	23	functions	function	NOUN
fuelectenerg-3305	75	24	.	.	PUNCT
fuelectenerg-3305	76	1	this	this	DET
fuelectenerg-3305	76	2	classification	classification	NOUN
fuelectenerg-3305	76	3	has	have	AUX
fuelectenerg-3305	76	4	been	be	AUX
fuelectenerg-3305	76	5	discussed	discuss	VERB
fuelectenerg-3305	76	6	in	in	ADP
fuelectenerg-3305	76	7	a	a	DET
fuelectenerg-3305	76	8	series	series	NOUN
fuelectenerg-3305	76	9	of	of	ADP
fuelectenerg-3305	76	10	papers	paper	NOUN
fuelectenerg-3305	76	11	by	by	ADP
fuelectenerg-3305	76	12	different	different	ADJ
fuelectenerg-3305	76	13	authors	author	NOUN
fuelectenerg-3305	76	14	with	with	ADP
fuelectenerg-3305	76	15	the	the	DET
fuelectenerg-3305	76	16	earliest	early	ADJ
fuelectenerg-3305	76	17	of	of	ADP
fuelectenerg-3305	76	18	them	they	PRON
fuelectenerg-3305	76	19	published	publish	VERB
fuelectenerg-3305	76	20	in	in	ADP
fuelectenerg-3305	76	21	the	the	DET
fuelectenerg-3305	76	22	1970	1970	NUM
fuelectenerg-3305	76	23	’s	’s	NOUN
fuelectenerg-3305	76	24	,	,	PUNCT
fuelectenerg-3305	76	25	[	[	X
fuelectenerg-3305	76	26	11	11	NUM
fuelectenerg-3305	76	27	]	]	PUNCT
fuelectenerg-3305	76	28	,	,	PUNCT
fuelectenerg-3305	76	29	[	[	X
fuelectenerg-3305	76	30	12	12	NUM
fuelectenerg-3305	76	31	]	]	PUNCT
fuelectenerg-3305	76	32	,	,	PUNCT
fuelectenerg-3305	76	33	[	[	X
fuelectenerg-3305	76	34	13	13	NUM
fuelectenerg-3305	76	35	]	]	PUNCT
fuelectenerg-3305	76	36	.	.	PUNCT
fuelectenerg-3305	77	1	in	in	ADP
fuelectenerg-3305	77	2	this	this	DET
fuelectenerg-3305	77	3	classification	classification	NOUN
fuelectenerg-3305	77	4	,	,	PUNCT
fuelectenerg-3305	77	5	boolean	boolean	ADJ
fuelectenerg-3305	77	6	functions	function	NOUN
fuelectenerg-3305	77	7	are	be	AUX
fuelectenerg-3305	77	8	split	split	VERB
fuelectenerg-3305	77	9	into	into	ADP
fuelectenerg-3305	77	10	classes	class	NOUN
fuelectenerg-3305	77	11	satisfying	satisfy	VERB
fuelectenerg-3305	77	12	certain	certain	ADJ
fuelectenerg-3305	77	13	conditions	condition	NOUN
fuelectenerg-3305	77	14	imposed	impose	VERB
fuelectenerg-3305	77	15	on	on	ADP
fuelectenerg-3305	77	16	elements	element	NOUN
fuelectenerg-3305	77	17	of	of	ADP
fuelectenerg-3305	77	18	appropriately	appropriately	ADV
fuelectenerg-3305	77	19	defined	define	VERB
fuelectenerg-3305	77	20	canonic	canonic	ADJ
fuelectenerg-3305	77	21	vectors	vector	NOUN
fuelectenerg-3305	77	22	specified	specify	VERB
fuelectenerg-3305	77	23	in	in	ADP
fuelectenerg-3305	77	24	terms	term	NOUN
fuelectenerg-3305	77	25	of	of	ADP
fuelectenerg-3305	77	26	their	their	PRON
fuelectenerg-3305	77	27	walsh	walsh	NOUN
fuelectenerg-3305	77	28	spectra	spectra	NOUN
fuelectenerg-3305	77	29	as	as	SCONJ
fuelectenerg-3305	77	30	it	it	PRON
fuelectenerg-3305	77	31	will	will	AUX
fuelectenerg-3305	77	32	be	be	AUX
fuelectenerg-3305	77	33	discussed	discuss	VERB
fuelectenerg-3305	77	34	bellow	bellow	ADJ
fuelectenerg-3305	77	35	.	.	PUNCT
fuelectenerg-3305	78	1	functions	function	NOUN
fuelectenerg-3305	78	2	belonging	belong	VERB
fuelectenerg-3305	78	3	to	to	ADP
fuelectenerg-3305	78	4	the	the	DET
fuelectenerg-3305	78	5	same	same	ADJ
fuelectenerg-3305	78	6	class	class	NOUN
fuelectenerg-3305	78	7	are	be	AUX
fuelectenerg-3305	78	8	converted	convert	VERB
fuelectenerg-3305	78	9	to	to	ADP
fuelectenerg-3305	78	10	each	each	DET
fuelectenerg-3305	78	11	other	other	ADJ
fuelectenerg-3305	78	12	by	by	ADP
fuelectenerg-3305	78	13	certain	certain	ADJ
fuelectenerg-3305	78	14	operations	operation	NOUN
fuelectenerg-3305	78	15	that	that	SCONJ
fuelectenerg-3305	78	16	we	we	PRON
fuelectenerg-3305	78	17	will	will	AUX
fuelectenerg-3305	78	18	call	call	VERB
fuelectenerg-3305	78	19	affine	affine	ADJ
fuelectenerg-3305	78	20	spectral	spectral	ADJ
fuelectenerg-3305	78	21	invariant	invariant	ADJ
fuelectenerg-3305	78	22	operations	operation	NOUN
fuelectenerg-3305	78	23	.	.	PUNCT
fuelectenerg-3305	79	1	in	in	ADP
fuelectenerg-3305	79	2	the	the	DET
fuelectenerg-3305	79	3	boolean	boolean	ADJ
fuelectenerg-3305	79	4	domain	domain	NOUN
fuelectenerg-3305	79	5	,	,	PUNCT
fuelectenerg-3305	79	6	these	these	PRON
fuelectenerg-3305	79	7	are	be	AUX
fuelectenerg-3305	79	8	affine	affine	ADJ
fuelectenerg-3305	79	9	operations	operation	NOUN
fuelectenerg-3305	79	10	over	over	ADP
fuelectenerg-3305	79	11	boolean	boolean	ADJ
fuelectenerg-3305	79	12	variables	variable	NOUN
fuelectenerg-3305	79	13	and	and	CCONJ
fuelectenerg-3305	79	14	function	function	NOUN
fuelectenerg-3305	79	15	values	value	NOUN
fuelectenerg-3305	79	16	,	,	PUNCT
fuelectenerg-3305	79	17	which	which	PRON
fuelectenerg-3305	79	18	in	in	ADP
fuelectenerg-3305	79	19	the	the	DET
fuelectenerg-3305	79	20	spectral	spectral	ADJ
fuelectenerg-3305	79	21	domain	domain	NOUN
fuelectenerg-3305	79	22	result	result	NOUN
fuelectenerg-3305	79	23	in	in	ADP
fuelectenerg-3305	79	24	permutation	permutation	NOUN
fuelectenerg-3305	79	25	and	and	CCONJ
fuelectenerg-3305	79	26	sign	sign	VERB
fuelectenerg-3305	79	27	changes	change	NOUN
fuelectenerg-3305	79	28	of	of	ADP
fuelectenerg-3305	79	29	walsh	walsh	NOUN
fuelectenerg-3305	79	30	coefficients	coefficient	NOUN
fuelectenerg-3305	79	31	but	but	CCONJ
fuelectenerg-3305	79	32	preserving	preserve	VERB
fuelectenerg-3305	79	33	their	their	PRON
fuelectenerg-3305	79	34	absolute	absolute	ADJ
fuelectenerg-3305	79	35	values	value	NOUN
fuelectenerg-3305	79	36	.	.	PUNCT
fuelectenerg-3305	80	1	it	it	PRON
fuelectenerg-3305	80	2	was	be	AUX
fuelectenerg-3305	80	3	observed	observe	VERB
fuelectenerg-3305	80	4	already	already	ADV
fuelectenerg-3305	80	5	in	in	ADP
fuelectenerg-3305	80	6	the	the	DET
fuelectenerg-3305	80	7	early	early	ADJ
fuelectenerg-3305	80	8	publications	publication	NOUN
fuelectenerg-3305	80	9	,	,	PUNCT
fuelectenerg-3305	80	10	when	when	SCONJ
fuelectenerg-3305	80	11	the	the	DET
fuelectenerg-3305	80	12	analysis	analysis	NOUN
fuelectenerg-3305	80	13	was	be	AUX
fuelectenerg-3305	80	14	restricted	restrict	VERB
fuelectenerg-3305	80	15	to	to	PART
fuelectenerg-3305	80	16	functions	function	NOUN
fuelectenerg-3305	80	17	up	up	ADP
fuelectenerg-3305	80	18	to	to	PART
fuelectenerg-3305	80	19	5	5	NUM
fuelectenerg-3305	80	20	variables	variable	NOUN
fuelectenerg-3305	80	21	,	,	PUNCT
fuelectenerg-3305	80	22	that	that	SCONJ
fuelectenerg-3305	80	23	there	there	PRON
fuelectenerg-3305	80	24	is	be	VERB
fuelectenerg-3305	80	25	some	some	DET
fuelectenerg-3305	80	26	inconsistency	inconsistency	NOUN
fuelectenerg-3305	80	27	when	when	SCONJ
fuelectenerg-3305	80	28	the	the	DET
fuelectenerg-3305	80	29	considerations	consideration	NOUN
fuelectenerg-3305	80	30	are	be	AUX
fuelectenerg-3305	80	31	restricted	restrict	VERB
fuelectenerg-3305	80	32	to	to	ADP
fuelectenerg-3305	80	33	the	the	DET
fuelectenerg-3305	80	34	realms	realm	NOUN
fuelectenerg-3305	80	35	of	of	ADP
fuelectenerg-3305	80	36	affine	affine	NOUN
fuelectenerg-3305	80	37	spectral	spectral	ADJ
fuelectenerg-3305	80	38	invariant	invariant	ADJ
fuelectenerg-3305	80	39	operations	operation	NOUN
fuelectenerg-3305	80	40	.	.	PUNCT
fuelectenerg-3305	81	1	starting	start	VERB
fuelectenerg-3305	81	2	from	from	ADP
fuelectenerg-3305	81	3	functions	function	NOUN
fuelectenerg-3305	81	4	of	of	ADP
fuelectenerg-3305	81	5	five	five	NUM
fuelectenerg-3305	81	6	variables	variable	NOUN
fuelectenerg-3305	81	7	,	,	PUNCT
fuelectenerg-3305	81	8	two	two	NUM
fuelectenerg-3305	81	9	different	different	ADJ
fuelectenerg-3305	81	10	classes	class	NOUN
fuelectenerg-3305	81	11	of	of	ADP
fuelectenerg-3305	81	12	functions	function	NOUN
fuelectenerg-3305	81	13	with	with	ADP
fuelectenerg-3305	81	14	flat	flat	ADJ
fuelectenerg-3305	81	15	spectra	spectra	NOUN
fuelectenerg-3305	81	16	have	have	VERB
fuelectenerg-3305	81	17	to	to	PART
fuelectenerg-3305	81	18	be	be	AUX
fuelectenerg-3305	81	19	considered	consider	VERB
fuelectenerg-3305	81	20	[	[	PUNCT
fuelectenerg-3305	81	21	12	12	NUM
fuelectenerg-3305	81	22	]	]	PUNCT
fuelectenerg-3305	81	23	,	,	PUNCT
fuelectenerg-3305	81	24	since	since	SCONJ
fuelectenerg-3305	81	25	functions	function	NOUN
fuelectenerg-3305	81	26	although	although	SCONJ
fuelectenerg-3305	81	27	satisfying	satisfy	VERB
fuelectenerg-3305	81	28	the	the	DET
fuelectenerg-3305	81	29	required	require	VERB
fuelectenerg-3305	81	30	conditions	condition	NOUN
fuelectenerg-3305	81	31	over	over	ADP
fuelectenerg-3305	81	32	canonic	canonic	ADJ
fuelectenerg-3305	81	33	vectors	vector	NOUN
fuelectenerg-3305	81	34	for	for	ADP
fuelectenerg-3305	81	35	being	be	AUX
fuelectenerg-3305	81	36	members	member	NOUN
fuelectenerg-3305	81	37	of	of	ADP
fuelectenerg-3305	81	38	the	the	DET
fuelectenerg-3305	81	39	class	class	NOUN
fuelectenerg-3305	81	40	with	with	ADP
fuelectenerg-3305	81	41	flat	flat	ADJ
fuelectenerg-3305	81	42	spectra	spectra	NOUN
fuelectenerg-3305	81	43	,	,	PUNCT
fuelectenerg-3305	81	44	can	can	AUX
fuelectenerg-3305	81	45	not	not	PART
fuelectenerg-3305	81	46	be	be	AUX
fuelectenerg-3305	81	47	converted	convert	VERB
fuelectenerg-3305	81	48	to	to	ADP
fuelectenerg-3305	81	49	each	each	DET
fuelectenerg-3305	81	50	an	an	DET
fuelectenerg-3305	81	51	improved	improved	ADJ
fuelectenerg-3305	81	52	spectral	spectral	ADJ
fuelectenerg-3305	81	53	classification	classification	NOUN
fuelectenerg-3305	81	54	of	of	ADP
fuelectenerg-3305	81	55	boolean	boolean	ADJ
fuelectenerg-3305	81	56	functions	function	NOUN
fuelectenerg-3305	81	57	...	...	PUNCT
fuelectenerg-3305	81	58	3	3	NUM
fuelectenerg-3305	81	59	other	other	ADJ
fuelectenerg-3305	81	60	with	with	ADP
fuelectenerg-3305	81	61	affine	affine	PROPN
fuelectenerg-3305	81	62	spectral	spectral	ADJ
fuelectenerg-3305	81	63	invariant	invariant	ADJ
fuelectenerg-3305	81	64	operations	operation	NOUN
fuelectenerg-3305	81	65	.	.	PUNCT
fuelectenerg-3305	82	1	also	also	ADV
fuelectenerg-3305	82	2	,	,	PUNCT
fuelectenerg-3305	82	3	the	the	DET
fuelectenerg-3305	82	4	functions	function	NOUN
fuelectenerg-3305	82	5	having	have	VERB
fuelectenerg-3305	82	6	solely	solely	ADV
fuelectenerg-3305	82	7	quadratic	quadratic	ADJ
fuelectenerg-3305	82	8	product	product	NOUN
fuelectenerg-3305	82	9	terms	term	NOUN
fuelectenerg-3305	82	10	in	in	ADP
fuelectenerg-3305	82	11	their	their	PRON
fuelectenerg-3305	82	12	reed	reed	NOUN
fuelectenerg-3305	82	13	-	-	PUNCT
fuelectenerg-3305	82	14	muller	muller	NOUN
fuelectenerg-3305	82	15	expressions	expression	NOUN
fuelectenerg-3305	82	16	are	be	AUX
fuelectenerg-3305	82	17	bent	bent	ADJ
fuelectenerg-3305	82	18	functions	function	NOUN
fuelectenerg-3305	82	19	meaning	mean	VERB
fuelectenerg-3305	82	20	that	that	SCONJ
fuelectenerg-3305	82	21	they	they	PRON
fuelectenerg-3305	82	22	have	have	VERB
fuelectenerg-3305	82	23	the	the	DET
fuelectenerg-3305	82	24	flat	flat	ADJ
fuelectenerg-3305	82	25	walsh	walsh	PROPN
fuelectenerg-3305	82	26	spectra	spectra	PROPN
fuelectenerg-3305	82	27	.	.	PUNCT
fuelectenerg-3305	83	1	bent	bent	ADJ
fuelectenerg-3305	83	2	functions	function	NOUN
fuelectenerg-3305	83	3	may	may	AUX
fuelectenerg-3305	83	4	have	have	VERB
fuelectenerg-3305	83	5	product	product	NOUN
fuelectenerg-3305	83	6	terms	term	NOUN
fuelectenerg-3305	83	7	with	with	ADP
fuelectenerg-3305	83	8	up	up	ADP
fuelectenerg-3305	83	9	to	to	ADP
fuelectenerg-3305	83	10	n/2	n/2	NOUN
fuelectenerg-3305	83	11	variables	variable	NOUN
fuelectenerg-3305	83	12	,	,	PUNCT
fuelectenerg-3305	83	13	and	and	CCONJ
fuelectenerg-3305	83	14	it	it	PRON
fuelectenerg-3305	83	15	means	mean	VERB
fuelectenerg-3305	83	16	they	they	PRON
fuelectenerg-3305	83	17	can	can	AUX
fuelectenerg-3305	83	18	not	not	PART
fuelectenerg-3305	83	19	be	be	AUX
fuelectenerg-3305	83	20	derived	derive	VERB
fuelectenerg-3305	83	21	from	from	ADP
fuelectenerg-3305	83	22	functions	function	NOUN
fuelectenerg-3305	83	23	with	with	ADP
fuelectenerg-3305	83	24	quadratic	quadratic	ADJ
fuelectenerg-3305	83	25	terms	term	NOUN
fuelectenerg-3305	83	26	by	by	ADP
fuelectenerg-3305	83	27	the	the	DET
fuelectenerg-3305	83	28	application	application	NOUN
fuelectenerg-3305	83	29	of	of	ADP
fuelectenerg-3305	83	30	affine	affine	NOUN
fuelectenerg-3305	83	31	spectral	spectral	ADJ
fuelectenerg-3305	83	32	invariant	invariant	ADJ
fuelectenerg-3305	83	33	operations	operation	NOUN
fuelectenerg-3305	83	34	since	since	SCONJ
fuelectenerg-3305	83	35	these	these	DET
fuelectenerg-3305	83	36	operations	operation	NOUN
fuelectenerg-3305	83	37	can	can	AUX
fuelectenerg-3305	83	38	not	not	PART
fuelectenerg-3305	83	39	be	be	AUX
fuelectenerg-3305	83	40	used	use	VERB
fuelectenerg-3305	83	41	to	to	PART
fuelectenerg-3305	83	42	increase	increase	VERB
fuelectenerg-3305	83	43	the	the	DET
fuelectenerg-3305	83	44	number	number	NOUN
fuelectenerg-3305	83	45	of	of	ADP
fuelectenerg-3305	83	46	variables	variable	NOUN
fuelectenerg-3305	83	47	in	in	ADP
fuelectenerg-3305	83	48	product	product	NOUN
fuelectenerg-3305	83	49	terms	term	NOUN
fuelectenerg-3305	83	50	.	.	PUNCT
fuelectenerg-3305	84	1	it	it	PRON
fuelectenerg-3305	84	2	is	be	AUX
fuelectenerg-3305	84	3	clear	clear	ADJ
fuelectenerg-3305	84	4	that	that	SCONJ
fuelectenerg-3305	84	5	there	there	PRON
fuelectenerg-3305	84	6	are	be	VERB
fuelectenerg-3305	84	7	some	some	DET
fuelectenerg-3305	84	8	other	other	ADJ
fuelectenerg-3305	84	9	operations	operation	NOUN
fuelectenerg-3305	84	10	beyond	beyond	ADP
fuelectenerg-3305	84	11	the	the	DET
fuelectenerg-3305	84	12	affine	affine	ADJ
fuelectenerg-3305	84	13	spectral	spectral	ADJ
fuelectenerg-3305	84	14	invariant	invariant	ADJ
fuelectenerg-3305	84	15	operations	operation	NOUN
fuelectenerg-3305	84	16	preserving	preserve	VERB
fuelectenerg-3305	84	17	the	the	DET
fuelectenerg-3305	84	18	absolute	absolute	ADJ
fuelectenerg-3305	84	19	values	value	NOUN
fuelectenerg-3305	84	20	of	of	ADP
fuelectenerg-3305	84	21	walsh	walsh	NOUN
fuelectenerg-3305	84	22	coefficients	coefficient	NOUN
fuelectenerg-3305	84	23	and	and	CCONJ
fuelectenerg-3305	84	24	in	in	ADP
fuelectenerg-3305	84	25	this	this	DET
fuelectenerg-3305	84	26	paper	paper	NOUN
fuelectenerg-3305	84	27	we	we	PRON
fuelectenerg-3305	84	28	present	present	VERB
fuelectenerg-3305	84	29	a	a	DET
fuelectenerg-3305	84	30	possible	possible	ADJ
fuelectenerg-3305	84	31	answer	answer	NOUN
fuelectenerg-3305	84	32	to	to	ADP
fuelectenerg-3305	84	33	this	this	DET
fuelectenerg-3305	84	34	problem	problem	NOUN
fuelectenerg-3305	84	35	by	by	ADP
fuelectenerg-3305	84	36	introducing	introduce	VERB
fuelectenerg-3305	84	37	a	a	DET
fuelectenerg-3305	84	38	new	new	ADJ
fuelectenerg-3305	84	39	spectral	spectral	ADJ
fuelectenerg-3305	84	40	invariant	invariant	ADJ
fuelectenerg-3305	84	41	operation	operation	NOUN
fuelectenerg-3305	84	42	the	the	DET
fuelectenerg-3305	84	43	effect	effect	NOUN
fuelectenerg-3305	84	44	of	of	ADP
fuelectenerg-3305	84	45	which	which	PRON
fuelectenerg-3305	84	46	becomes	become	VERB
fuelectenerg-3305	84	47	apparent	apparent	ADJ
fuelectenerg-3305	84	48	for	for	ADP
fuelectenerg-3305	84	49	functions	function	NOUN
fuelectenerg-3305	84	50	of	of	ADP
fuelectenerg-3305	84	51	n	n	NUM
fuelectenerg-3305	84	52	≥	≥	NUM
fuelectenerg-3305	84	53	5	5	NUM
fuelectenerg-3305	84	54	variables	variable	NOUN
fuelectenerg-3305	84	55	.	.	PUNCT
fuelectenerg-3305	85	1	2	2	NUM
fuelectenerg-3305	85	2	walsh	walsh	NOUN
fuelectenerg-3305	85	3	classification	classification	NOUN
fuelectenerg-3305	85	4	of	of	ADP
fuelectenerg-3305	85	5	boolean	boolean	ADJ
fuelectenerg-3305	85	6	functions	function	NOUN
fuelectenerg-3305	85	7	classification	classification	NOUN
fuelectenerg-3305	85	8	of	of	ADP
fuelectenerg-3305	85	9	boolean	boolean	ADJ
fuelectenerg-3305	85	10	functions	function	NOUN
fuelectenerg-3305	85	11	in	in	ADP
fuelectenerg-3305	85	12	terms	term	NOUN
fuelectenerg-3305	85	13	of	of	ADP
fuelectenerg-3305	85	14	walsh	walsh	PROPN
fuelectenerg-3305	85	15	spectral	spectral	ADJ
fuelectenerg-3305	85	16	coefficients	coefficient	NOUN
fuelectenerg-3305	85	17	has	have	AUX
fuelectenerg-3305	85	18	been	be	AUX
fuelectenerg-3305	85	19	discussed	discuss	VERB
fuelectenerg-3305	85	20	in	in	ADP
fuelectenerg-3305	85	21	a	a	DET
fuelectenerg-3305	85	22	series	series	NOUN
fuelectenerg-3305	85	23	of	of	ADP
fuelectenerg-3305	85	24	papers	paper	NOUN
fuelectenerg-3305	85	25	with	with	ADP
fuelectenerg-3305	85	26	the	the	DET
fuelectenerg-3305	85	27	first	first	ADJ
fuelectenerg-3305	85	28	of	of	ADP
fuelectenerg-3305	85	29	them	they	PRON
fuelectenerg-3305	85	30	published	publish	VERB
fuelectenerg-3305	85	31	in	in	ADP
fuelectenerg-3305	85	32	the	the	DET
fuelectenerg-3305	85	33	sixties	sixty	NOUN
fuelectenerg-3305	85	34	and	and	CCONJ
fuelectenerg-3305	85	35	seventies	seventy	NOUN
fuelectenerg-3305	85	36	of	of	ADP
fuelectenerg-3305	85	37	the	the	DET
fuelectenerg-3305	85	38	last	last	ADJ
fuelectenerg-3305	85	39	century	century	NOUN
fuelectenerg-3305	86	1	[	[	X
fuelectenerg-3305	86	2	11	11	NUM
fuelectenerg-3305	86	3	]	]	PUNCT
fuelectenerg-3305	86	4	,	,	PUNCT
fuelectenerg-3305	86	5	[	[	X
fuelectenerg-3305	86	6	12	12	NUM
fuelectenerg-3305	86	7	]	]	PUNCT
fuelectenerg-3305	86	8	,	,	PUNCT
fuelectenerg-3305	86	9	[	[	X
fuelectenerg-3305	86	10	13	13	NUM
fuelectenerg-3305	86	11	]	]	PUNCT
fuelectenerg-3305	86	12	,	,	PUNCT
fuelectenerg-3305	86	13	[	[	X
fuelectenerg-3305	86	14	14	14	NUM
fuelectenerg-3305	86	15	]	]	PUNCT
fuelectenerg-3305	86	16	,	,	PUNCT
fuelectenerg-3305	86	17	[	[	X
fuelectenerg-3305	86	18	15	15	NUM
fuelectenerg-3305	86	19	]	]	PUNCT
fuelectenerg-3305	86	20	.	.	PUNCT
fuelectenerg-3305	87	1	the	the	DET
fuelectenerg-3305	87	2	walsh	walsh	PROPN
fuelectenerg-3305	87	3	transform	transform	NOUN
fuelectenerg-3305	87	4	in	in	ADP
fuelectenerg-3305	87	5	the	the	DET
fuelectenerg-3305	87	6	hadamard	hadamard	ADJ
fuelectenerg-3305	87	7	ordering	ordering	NOUN
fuelectenerg-3305	87	8	is	be	AUX
fuelectenerg-3305	87	9	used	use	VERB
fuelectenerg-3305	87	10	,	,	PUNCT
fuelectenerg-3305	87	11	since	since	SCONJ
fuelectenerg-3305	87	12	in	in	ADP
fuelectenerg-3305	87	13	this	this	PRON
fuelectenerg-3305	87	14	ordering	order	VERB
fuelectenerg-3305	87	15	the	the	DET
fuelectenerg-3305	87	16	structure	structure	NOUN
fuelectenerg-3305	87	17	of	of	ADP
fuelectenerg-3305	87	18	the	the	DET
fuelectenerg-3305	87	19	transform	transform	NOUN
fuelectenerg-3305	87	20	matrix	matrix	NOUN
fuelectenerg-3305	87	21	corresponds	correspond	VERB
fuelectenerg-3305	87	22	to	to	ADP
fuelectenerg-3305	87	23	the	the	DET
fuelectenerg-3305	87	24	recursive	recursive	ADJ
fuelectenerg-3305	87	25	structure	structure	NOUN
fuelectenerg-3305	87	26	of	of	ADP
fuelectenerg-3305	87	27	the	the	DET
fuelectenerg-3305	87	28	domain	domain	NOUN
fuelectenerg-3305	87	29	for	for	ADP
fuelectenerg-3305	87	30	boolean	boolean	ADJ
fuelectenerg-3305	87	31	functions	function	NOUN
fuelectenerg-3305	87	32	viewed	view	VERB
fuelectenerg-3305	87	33	as	as	ADP
fuelectenerg-3305	87	34	a	a	DET
fuelectenerg-3305	87	35	decomposable	decomposable	ADJ
fuelectenerg-3305	87	36	abelian	abelian	ADJ
fuelectenerg-3305	87	37	group	group	NOUN
fuelectenerg-3305	88	1	[	[	X
fuelectenerg-3305	88	2	3	3	NUM
fuelectenerg-3305	88	3	]	]	PUNCT
fuelectenerg-3305	88	4	.	.	PUNCT
fuelectenerg-3305	89	1	links	link	NOUN
fuelectenerg-3305	89	2	to	to	ADP
fuelectenerg-3305	89	3	the	the	DET
fuelectenerg-3305	89	4	hadamard	hadamard	ADJ
fuelectenerg-3305	89	5	matrices	matrix	NOUN
fuelectenerg-3305	89	6	are	be	AUX
fuelectenerg-3305	89	7	used	use	VERB
fuelectenerg-3305	89	8	[	[	PUNCT
fuelectenerg-3305	89	9	2	2	NUM
fuelectenerg-3305	89	10	]	]	PUNCT
fuelectenerg-3305	89	11	,	,	PUNCT
fuelectenerg-3305	89	12	[	[	X
fuelectenerg-3305	89	13	3	3	NUM
fuelectenerg-3305	89	14	]	]	PUNCT
fuelectenerg-3305	89	15	,	,	PUNCT
fuelectenerg-3305	89	16	[	[	X
fuelectenerg-3305	89	17	12	12	NUM
fuelectenerg-3305	89	18	]	]	PUNCT
fuelectenerg-3305	89	19	,	,	PUNCT
fuelectenerg-3305	89	20	[	[	X
fuelectenerg-3305	89	21	16	16	NUM
fuelectenerg-3305	89	22	]	]	PUNCT
fuelectenerg-3305	89	23	.	.	PUNCT
fuelectenerg-3305	90	1	2.1	2.1	NUM
fuelectenerg-3305	90	2	walsh	walsh	NOUN
fuelectenerg-3305	90	3	spectrum	spectrum	NOUN
fuelectenerg-3305	90	4	definition	definition	NOUN
fuelectenerg-3305	90	5	1	1	NUM
fuelectenerg-3305	90	6	walsh	walsh	NOUN
fuelectenerg-3305	90	7	spectrum	spectrum	NOUN
fuelectenerg-3305	90	8	.	.	PUNCT
fuelectenerg-3305	91	1	in	in	ADP
fuelectenerg-3305	91	2	the	the	DET
fuelectenerg-3305	91	3	so	so	ADV
fuelectenerg-3305	91	4	-	-	PUNCT
fuelectenerg-3305	91	5	called	call	VERB
fuelectenerg-3305	91	6	hadamard	hadamard	PROPN
fuelectenerg-3305	91	7	ordering	ordering	NOUN
fuelectenerg-3305	91	8	,	,	PUNCT
fuelectenerg-3305	91	9	the	the	DET
fuelectenerg-3305	91	10	walsh	walsh	PROPN
fuelectenerg-3305	91	11	spectrum	spectrum	NOUN
fuelectenerg-3305	91	12	sf	sf	PROPN
fuelectenerg-3305	91	13	(	(	PUNCT
fuelectenerg-3305	91	14	n	n	CCONJ
fuelectenerg-3305	91	15	)	)	PUNCT
fuelectenerg-3305	91	16	of	of	ADP
fuelectenerg-3305	91	17	a	a	DET
fuelectenerg-3305	91	18	boolean	boolean	ADJ
fuelectenerg-3305	91	19	function	function	NOUN
fuelectenerg-3305	91	20	f(x1	f(x1	NOUN
fuelectenerg-3305	91	21	,	,	PUNCT
fuelectenerg-3305	91	22	·	·	PUNCT
fuelectenerg-3305	91	23	·	·	PUNCT
fuelectenerg-3305	91	24	·	·	PUNCT
fuelectenerg-3305	91	25	,	,	PUNCT
fuelectenerg-3305	91	26	xn	xn	X
fuelectenerg-3305	91	27	)	)	PUNCT
fuelectenerg-3305	91	28	is	be	AUX
fuelectenerg-3305	91	29	defined	define	VERB
fuelectenerg-3305	91	30	as	as	ADP
fuelectenerg-3305	91	31	sf	sf	PROPN
fuelectenerg-3305	91	32	(	(	PUNCT
fuelectenerg-3305	91	33	n	n	CCONJ
fuelectenerg-3305	91	34	)	)	PUNCT
fuelectenerg-3305	91	35	=	=	SYM
fuelectenerg-3305	91	36	w(n)f(n	w(n)f(n	NOUN
fuelectenerg-3305	91	37	)	)	PUNCT
fuelectenerg-3305	91	38	=	=	PUNCT
fuelectenerg-3305	91	39	w(1)⊗nf(n	w(1)⊗nf(n	PROPN
fuelectenerg-3305	91	40	)	)	PUNCT
fuelectenerg-3305	91	41	,	,	PUNCT
fuelectenerg-3305	91	42	(	(	PUNCT
fuelectenerg-3305	91	43	1	1	X
fuelectenerg-3305	91	44	)	)	PUNCT
fuelectenerg-3305	91	45	where	where	SCONJ
fuelectenerg-3305	91	46	⊗	⊗	PROPN
fuelectenerg-3305	91	47	denotes	denote	VERB
fuelectenerg-3305	91	48	the	the	DET
fuelectenerg-3305	91	49	kronecker	kronecker	NOUN
fuelectenerg-3305	91	50	product	product	NOUN
fuelectenerg-3305	91	51	,	,	PUNCT
fuelectenerg-3305	91	52	w(1	w(1	PROPN
fuelectenerg-3305	91	53	)	)	PUNCT
fuelectenerg-3305	92	1	=	=	PUNCT
fuelectenerg-3305	92	2	[	[	PUNCT
fuelectenerg-3305	92	3	1	1	NUM
fuelectenerg-3305	92	4	1	1	NUM
fuelectenerg-3305	92	5	1	1	NUM
fuelectenerg-3305	92	6	−1	−1	NOUN
fuelectenerg-3305	92	7	]	]	PUNCT
fuelectenerg-3305	92	8	,	,	PUNCT
fuelectenerg-3305	92	9	and	and	CCONJ
fuelectenerg-3305	92	10	f(n	f(n	PROPN
fuelectenerg-3305	92	11	)	)	PUNCT
fuelectenerg-3305	92	12	is	be	AUX
fuelectenerg-3305	92	13	the	the	DET
fuelectenerg-3305	92	14	value	value	NOUN
fuelectenerg-3305	92	15	vector	vector	NOUN
fuelectenerg-3305	92	16	of	of	ADP
fuelectenerg-3305	92	17	the	the	DET
fuelectenerg-3305	92	18	function	function	NOUN
fuelectenerg-3305	92	19	f	f	PROPN
fuelectenerg-3305	92	20	in	in	ADP
fuelectenerg-3305	92	21	the	the	DET
fuelectenerg-3305	92	22	(	(	PUNCT
fuelectenerg-3305	92	23	0	0	NUM
fuelectenerg-3305	92	24	,	,	PUNCT
fuelectenerg-3305	92	25	1	1	NUM
fuelectenerg-3305	92	26	)	)	PUNCT
fuelectenerg-3305	92	27	→	→	SYM
fuelectenerg-3305	92	28	(	(	PUNCT
fuelectenerg-3305	92	29	1,−1	1,−1	NUM
fuelectenerg-3305	92	30	)	)	PUNCT
fuelectenerg-3305	92	31	encoding	encoding	NOUN
fuelectenerg-3305	92	32	,	,	PUNCT
fuelectenerg-3305	92	33	i.e.	i.e.	X
fuelectenerg-3305	92	34	,	,	PUNCT
fuelectenerg-3305	92	35	f(n	f(n	PROPN
fuelectenerg-3305	92	36	)	)	PUNCT
fuelectenerg-3305	92	37	=	=	PUNCT
fuelectenerg-3305	93	1	[	[	X
fuelectenerg-3305	93	2	(	(	PUNCT
fuelectenerg-3305	93	3	−1)f(0	−1)f(0	NOUN
fuelectenerg-3305	93	4	)	)	PUNCT
fuelectenerg-3305	93	5	,	,	PUNCT
fuelectenerg-3305	93	6	(	(	PUNCT
fuelectenerg-3305	93	7	−1)f(1	−1)f(1	NOUN
fuelectenerg-3305	93	8	)	)	PUNCT
fuelectenerg-3305	93	9	,	,	PUNCT
fuelectenerg-3305	93	10	·	·	PUNCT
fuelectenerg-3305	93	11	·	·	PUNCT
fuelectenerg-3305	93	12	·	·	PUNCT
fuelectenerg-3305	93	13	,	,	PUNCT
fuelectenerg-3305	93	14	(	(	PUNCT
fuelectenerg-3305	93	15	−1)f(2	−1)f(2	ADV
fuelectenerg-3305	93	16	n−1	n−1	PROPN
fuelectenerg-3305	93	17	)	)	PUNCT
fuelectenerg-3305	93	18	]	]	PUNCT
fuelectenerg-3305	93	19	.	.	PUNCT
fuelectenerg-3305	94	1	the	the	DET
fuelectenerg-3305	94	2	walsh	walsh	PROPN
fuelectenerg-3305	94	3	spectrum	spectrum	NOUN
fuelectenerg-3305	94	4	sf	sf	PROPN
fuelectenerg-3305	94	5	(	(	PUNCT
fuelectenerg-3305	94	6	n	n	CCONJ
fuelectenerg-3305	94	7	)	)	PUNCT
fuelectenerg-3305	94	8	of	of	ADP
fuelectenerg-3305	94	9	a	a	DET
fuelectenerg-3305	94	10	function	function	NOUN
fuelectenerg-3305	94	11	of	of	ADP
fuelectenerg-3305	94	12	n	n	PRON
fuelectenerg-3305	94	13	binary	binary	ADJ
fuelectenerg-3305	94	14	variables	variable	NOUN
fuelectenerg-3305	94	15	is	be	AUX
fuelectenerg-3305	94	16	a	a	DET
fuelectenerg-3305	94	17	vector	vector	NOUN
fuelectenerg-3305	94	18	of	of	ADP
fuelectenerg-3305	94	19	2n	2n	NUM
fuelectenerg-3305	94	20	coefficients	coefficient	NOUN
fuelectenerg-3305	94	21	.	.	PUNCT
fuelectenerg-3305	95	1	here	here	ADV
fuelectenerg-3305	95	2	we	we	PRON
fuelectenerg-3305	95	3	will	will	AUX
fuelectenerg-3305	95	4	use	use	VERB
fuelectenerg-3305	95	5	a	a	DET
fuelectenerg-3305	95	6	notation	notation	NOUN
fuelectenerg-3305	95	7	for	for	ADP
fuelectenerg-3305	95	8	spectral	spectral	ADJ
fuelectenerg-3305	95	9	coefficients	coefficient	NOUN
fuelectenerg-3305	95	10	with	with	ADP
fuelectenerg-3305	95	11	binary	binary	ADJ
fuelectenerg-3305	95	12	subscripts	subscript	NOUN
fuelectenerg-3305	95	13	sb1,b2	sb1,b2	PROPN
fuelectenerg-3305	95	14	,	,	PUNCT
fuelectenerg-3305	95	15	·	·	PUNCT
fuelectenerg-3305	95	16	·	·	PUNCT
fuelectenerg-3305	95	17	·	·	PUNCT
fuelectenerg-3305	95	18	,	,	PUNCT
fuelectenerg-3305	95	19	bn	bn	INTJ
fuelectenerg-3305	95	20	where	where	SCONJ
fuelectenerg-3305	95	21	bi	bi	PROPN
fuelectenerg-3305	95	22	∈	∈	PROPN
fuelectenerg-3305	95	23	{	{	PUNCT
fuelectenerg-3305	95	24	0	0	NUM
fuelectenerg-3305	95	25	,	,	PUNCT
fuelectenerg-3305	95	26	1	1	NUM
fuelectenerg-3305	95	27	}	}	PUNCT
fuelectenerg-3305	95	28	,	,	PUNCT
fuelectenerg-3305	95	29	i	i	PRON
fuelectenerg-3305	95	30	=	=	NOUN
fuelectenerg-3305	95	31	1	1	NUM
fuelectenerg-3305	95	32	,	,	PUNCT
fuelectenerg-3305	95	33	2	2	NUM
fuelectenerg-3305	95	34	,	,	PUNCT
fuelectenerg-3305	95	35	·	·	PUNCT
fuelectenerg-3305	95	36	·	·	PUNCT
fuelectenerg-3305	95	37	·	·	PUNCT
fuelectenerg-3305	95	38	,	,	PUNCT
fuelectenerg-3305	95	39	n	n	CCONJ
fuelectenerg-3305	95	40	sf	sf	X
fuelectenerg-3305	95	41	(	(	PUNCT
fuelectenerg-3305	95	42	n	n	CCONJ
fuelectenerg-3305	95	43	)	)	PUNCT
fuelectenerg-3305	95	44	=	=	PUNCT
fuelectenerg-3305	96	1	[	[	X
fuelectenerg-3305	96	2	s00	s00	NOUN
fuelectenerg-3305	96	3	...	...	PUNCT
fuelectenerg-3305	96	4	0	0	NUM
fuelectenerg-3305	96	5	,	,	PUNCT
fuelectenerg-3305	96	6	s00	s00	NOUN
fuelectenerg-3305	96	7	...	...	PUNCT
fuelectenerg-3305	96	8	1	1	NUM
fuelectenerg-3305	96	9	,	,	PUNCT
fuelectenerg-3305	96	10	·	·	PUNCT
fuelectenerg-3305	96	11	·	·	PUNCT
fuelectenerg-3305	96	12	·	·	PUNCT
fuelectenerg-3305	96	13	,	,	PUNCT
fuelectenerg-3305	96	14	s11	s11	PROPN
fuelectenerg-3305	96	15	...	...	PUNCT
fuelectenerg-3305	96	16	1	1	NUM
fuelectenerg-3305	96	17	]	]	PUNCT
fuelectenerg-3305	96	18	.	.	PUNCT
fuelectenerg-3305	97	1	an	an	DET
fuelectenerg-3305	97	2	improved	improve	VERB
fuelectenerg-3305	97	3	spectral	spectral	ADJ
fuelectenerg-3305	97	4	classification	classification	NOUN
fuelectenerg-3305	97	5	of	of	ADP
fuelectenerg-3305	97	6	boolean	boolean	ADJ
fuelectenerg-3305	97	7	functions	function	NOUN
fuelectenerg-3305	97	8	...	...	PUNCT
fuelectenerg-3305	97	9	3	3	NUM
fuelectenerg-3305	97	10	other	other	ADJ
fuelectenerg-3305	97	11	with	with	ADP
fuelectenerg-3305	97	12	affine	affine	PROPN
fuelectenerg-3305	97	13	spectral	spectral	ADJ
fuelectenerg-3305	97	14	invariant	invariant	ADJ
fuelectenerg-3305	97	15	operations	operation	NOUN
fuelectenerg-3305	97	16	.	.	PUNCT
fuelectenerg-3305	98	1	also	also	ADV
fuelectenerg-3305	98	2	,	,	PUNCT
fuelectenerg-3305	98	3	the	the	DET
fuelectenerg-3305	98	4	functions	function	NOUN
fuelectenerg-3305	98	5	having	have	VERB
fuelectenerg-3305	98	6	solely	solely	ADV
fuelectenerg-3305	98	7	quadratic	quadratic	ADJ
fuelectenerg-3305	98	8	product	product	NOUN
fuelectenerg-3305	98	9	terms	term	NOUN
fuelectenerg-3305	98	10	in	in	ADP
fuelectenerg-3305	98	11	their	their	PRON
fuelectenerg-3305	98	12	reed	reed	NOUN
fuelectenerg-3305	98	13	-	-	PUNCT
fuelectenerg-3305	98	14	muller	muller	NOUN
fuelectenerg-3305	98	15	expressions	expression	NOUN
fuelectenerg-3305	98	16	are	be	AUX
fuelectenerg-3305	98	17	bent	bent	ADJ
fuelectenerg-3305	98	18	functions	function	NOUN
fuelectenerg-3305	98	19	meaning	mean	VERB
fuelectenerg-3305	98	20	that	that	SCONJ
fuelectenerg-3305	98	21	they	they	PRON
fuelectenerg-3305	98	22	have	have	VERB
fuelectenerg-3305	98	23	the	the	DET
fuelectenerg-3305	98	24	flat	flat	ADJ
fuelectenerg-3305	98	25	walsh	walsh	PROPN
fuelectenerg-3305	98	26	spectra	spectra	PROPN
fuelectenerg-3305	98	27	.	.	PUNCT
fuelectenerg-3305	99	1	bent	bent	ADJ
fuelectenerg-3305	99	2	functions	function	NOUN
fuelectenerg-3305	99	3	may	may	AUX
fuelectenerg-3305	99	4	have	have	VERB
fuelectenerg-3305	99	5	product	product	NOUN
fuelectenerg-3305	99	6	terms	term	NOUN
fuelectenerg-3305	99	7	with	with	ADP
fuelectenerg-3305	99	8	up	up	ADP
fuelectenerg-3305	99	9	to	to	ADP
fuelectenerg-3305	99	10	n/2	n/2	NOUN
fuelectenerg-3305	99	11	variables	variable	NOUN
fuelectenerg-3305	99	12	,	,	PUNCT
fuelectenerg-3305	99	13	and	and	CCONJ
fuelectenerg-3305	99	14	it	it	PRON
fuelectenerg-3305	99	15	means	mean	VERB
fuelectenerg-3305	99	16	they	they	PRON
fuelectenerg-3305	99	17	can	can	AUX
fuelectenerg-3305	99	18	not	not	PART
fuelectenerg-3305	99	19	be	be	AUX
fuelectenerg-3305	99	20	derived	derive	VERB
fuelectenerg-3305	99	21	from	from	ADP
fuelectenerg-3305	99	22	functions	function	NOUN
fuelectenerg-3305	99	23	with	with	ADP
fuelectenerg-3305	99	24	quadratic	quadratic	ADJ
fuelectenerg-3305	99	25	terms	term	NOUN
fuelectenerg-3305	99	26	by	by	ADP
fuelectenerg-3305	99	27	the	the	DET
fuelectenerg-3305	99	28	application	application	NOUN
fuelectenerg-3305	99	29	of	of	ADP
fuelectenerg-3305	99	30	affine	affine	NOUN
fuelectenerg-3305	99	31	spectral	spectral	ADJ
fuelectenerg-3305	99	32	invariant	invariant	ADJ
fuelectenerg-3305	99	33	operations	operation	NOUN
fuelectenerg-3305	99	34	since	since	SCONJ
fuelectenerg-3305	99	35	these	these	DET
fuelectenerg-3305	99	36	operations	operation	NOUN
fuelectenerg-3305	99	37	can	can	AUX
fuelectenerg-3305	99	38	not	not	PART
fuelectenerg-3305	99	39	be	be	AUX
fuelectenerg-3305	99	40	used	use	VERB
fuelectenerg-3305	99	41	to	to	PART
fuelectenerg-3305	99	42	increase	increase	VERB
fuelectenerg-3305	99	43	the	the	DET
fuelectenerg-3305	99	44	number	number	NOUN
fuelectenerg-3305	99	45	of	of	ADP
fuelectenerg-3305	99	46	variables	variable	NOUN
fuelectenerg-3305	99	47	in	in	ADP
fuelectenerg-3305	99	48	product	product	NOUN
fuelectenerg-3305	99	49	terms	term	NOUN
fuelectenerg-3305	99	50	.	.	PUNCT
fuelectenerg-3305	100	1	it	it	PRON
fuelectenerg-3305	100	2	is	be	AUX
fuelectenerg-3305	100	3	clear	clear	ADJ
fuelectenerg-3305	100	4	that	that	SCONJ
fuelectenerg-3305	100	5	there	there	PRON
fuelectenerg-3305	100	6	are	be	VERB
fuelectenerg-3305	100	7	some	some	DET
fuelectenerg-3305	100	8	other	other	ADJ
fuelectenerg-3305	100	9	operations	operation	NOUN
fuelectenerg-3305	100	10	beyond	beyond	ADP
fuelectenerg-3305	100	11	the	the	DET
fuelectenerg-3305	100	12	affine	affine	ADJ
fuelectenerg-3305	100	13	spectral	spectral	ADJ
fuelectenerg-3305	100	14	invariant	invariant	ADJ
fuelectenerg-3305	100	15	operations	operation	NOUN
fuelectenerg-3305	100	16	preserving	preserve	VERB
fuelectenerg-3305	100	17	the	the	DET
fuelectenerg-3305	100	18	absolute	absolute	ADJ
fuelectenerg-3305	100	19	values	value	NOUN
fuelectenerg-3305	100	20	of	of	ADP
fuelectenerg-3305	100	21	walsh	walsh	NOUN
fuelectenerg-3305	100	22	coefficients	coefficient	NOUN
fuelectenerg-3305	100	23	and	and	CCONJ
fuelectenerg-3305	100	24	in	in	ADP
fuelectenerg-3305	100	25	this	this	DET
fuelectenerg-3305	100	26	paper	paper	NOUN
fuelectenerg-3305	100	27	we	we	PRON
fuelectenerg-3305	100	28	present	present	VERB
fuelectenerg-3305	100	29	a	a	DET
fuelectenerg-3305	100	30	possible	possible	ADJ
fuelectenerg-3305	100	31	answer	answer	NOUN
fuelectenerg-3305	100	32	to	to	ADP
fuelectenerg-3305	100	33	this	this	DET
fuelectenerg-3305	100	34	problem	problem	NOUN
fuelectenerg-3305	100	35	by	by	ADP
fuelectenerg-3305	100	36	introducing	introduce	VERB
fuelectenerg-3305	100	37	a	a	DET
fuelectenerg-3305	100	38	new	new	ADJ
fuelectenerg-3305	100	39	spectral	spectral	ADJ
fuelectenerg-3305	100	40	invariant	invariant	ADJ
fuelectenerg-3305	100	41	operation	operation	NOUN
fuelectenerg-3305	100	42	the	the	DET
fuelectenerg-3305	100	43	effect	effect	NOUN
fuelectenerg-3305	100	44	of	of	ADP
fuelectenerg-3305	100	45	which	which	PRON
fuelectenerg-3305	100	46	becomes	become	VERB
fuelectenerg-3305	100	47	apparent	apparent	ADJ
fuelectenerg-3305	100	48	for	for	ADP
fuelectenerg-3305	100	49	functions	function	NOUN
fuelectenerg-3305	100	50	of	of	ADP
fuelectenerg-3305	100	51	n	n	NUM
fuelectenerg-3305	100	52	≥	≥	NUM
fuelectenerg-3305	100	53	5	5	NUM
fuelectenerg-3305	100	54	variables	variable	NOUN
fuelectenerg-3305	100	55	.	.	PUNCT
fuelectenerg-3305	101	1	2	2	NUM
fuelectenerg-3305	101	2	walsh	walsh	NOUN
fuelectenerg-3305	101	3	classification	classification	NOUN
fuelectenerg-3305	101	4	of	of	ADP
fuelectenerg-3305	101	5	boolean	boolean	ADJ
fuelectenerg-3305	101	6	functions	function	NOUN
fuelectenerg-3305	101	7	classification	classification	NOUN
fuelectenerg-3305	101	8	of	of	ADP
fuelectenerg-3305	101	9	boolean	boolean	ADJ
fuelectenerg-3305	101	10	functions	function	NOUN
fuelectenerg-3305	101	11	in	in	ADP
fuelectenerg-3305	101	12	terms	term	NOUN
fuelectenerg-3305	101	13	of	of	ADP
fuelectenerg-3305	101	14	walsh	walsh	PROPN
fuelectenerg-3305	101	15	spectral	spectral	ADJ
fuelectenerg-3305	101	16	coefficients	coefficient	NOUN
fuelectenerg-3305	101	17	has	have	AUX
fuelectenerg-3305	101	18	been	be	AUX
fuelectenerg-3305	101	19	discussed	discuss	VERB
fuelectenerg-3305	101	20	in	in	ADP
fuelectenerg-3305	101	21	a	a	DET
fuelectenerg-3305	101	22	series	series	NOUN
fuelectenerg-3305	101	23	of	of	ADP
fuelectenerg-3305	101	24	papers	paper	NOUN
fuelectenerg-3305	101	25	with	with	ADP
fuelectenerg-3305	101	26	the	the	DET
fuelectenerg-3305	101	27	first	first	ADJ
fuelectenerg-3305	101	28	of	of	ADP
fuelectenerg-3305	101	29	them	they	PRON
fuelectenerg-3305	101	30	published	publish	VERB
fuelectenerg-3305	101	31	in	in	ADP
fuelectenerg-3305	101	32	the	the	DET
fuelectenerg-3305	101	33	sixties	sixty	NOUN
fuelectenerg-3305	101	34	and	and	CCONJ
fuelectenerg-3305	101	35	seventies	seventy	NOUN
fuelectenerg-3305	101	36	of	of	ADP
fuelectenerg-3305	101	37	the	the	DET
fuelectenerg-3305	101	38	last	last	ADJ
fuelectenerg-3305	101	39	century	century	NOUN
fuelectenerg-3305	102	1	[	[	X
fuelectenerg-3305	102	2	11	11	NUM
fuelectenerg-3305	102	3	]	]	PUNCT
fuelectenerg-3305	102	4	,	,	PUNCT
fuelectenerg-3305	102	5	[	[	X
fuelectenerg-3305	102	6	12	12	NUM
fuelectenerg-3305	102	7	]	]	PUNCT
fuelectenerg-3305	102	8	,	,	PUNCT
fuelectenerg-3305	102	9	[	[	X
fuelectenerg-3305	102	10	13	13	NUM
fuelectenerg-3305	102	11	]	]	PUNCT
fuelectenerg-3305	102	12	,	,	PUNCT
fuelectenerg-3305	102	13	[	[	X
fuelectenerg-3305	102	14	14	14	NUM
fuelectenerg-3305	102	15	]	]	PUNCT
fuelectenerg-3305	102	16	,	,	PUNCT
fuelectenerg-3305	102	17	[	[	X
fuelectenerg-3305	102	18	15	15	NUM
fuelectenerg-3305	102	19	]	]	PUNCT
fuelectenerg-3305	102	20	.	.	PUNCT
fuelectenerg-3305	103	1	the	the	DET
fuelectenerg-3305	103	2	walsh	walsh	PROPN
fuelectenerg-3305	103	3	transform	transform	NOUN
fuelectenerg-3305	103	4	in	in	ADP
fuelectenerg-3305	103	5	the	the	DET
fuelectenerg-3305	103	6	hadamard	hadamard	ADJ
fuelectenerg-3305	103	7	ordering	ordering	NOUN
fuelectenerg-3305	103	8	is	be	AUX
fuelectenerg-3305	103	9	used	use	VERB
fuelectenerg-3305	103	10	,	,	PUNCT
fuelectenerg-3305	103	11	since	since	SCONJ
fuelectenerg-3305	103	12	in	in	ADP
fuelectenerg-3305	103	13	this	this	PRON
fuelectenerg-3305	103	14	ordering	order	VERB
fuelectenerg-3305	103	15	the	the	DET
fuelectenerg-3305	103	16	structure	structure	NOUN
fuelectenerg-3305	103	17	of	of	ADP
fuelectenerg-3305	103	18	the	the	DET
fuelectenerg-3305	103	19	transform	transform	NOUN
fuelectenerg-3305	103	20	matrix	matrix	NOUN
fuelectenerg-3305	103	21	corresponds	correspond	VERB
fuelectenerg-3305	103	22	to	to	ADP
fuelectenerg-3305	103	23	the	the	DET
fuelectenerg-3305	103	24	recursive	recursive	ADJ
fuelectenerg-3305	103	25	structure	structure	NOUN
fuelectenerg-3305	103	26	of	of	ADP
fuelectenerg-3305	103	27	the	the	DET
fuelectenerg-3305	103	28	domain	domain	NOUN
fuelectenerg-3305	103	29	for	for	ADP
fuelectenerg-3305	103	30	boolean	boolean	ADJ
fuelectenerg-3305	103	31	functions	function	NOUN
fuelectenerg-3305	103	32	viewed	view	VERB
fuelectenerg-3305	103	33	as	as	ADP
fuelectenerg-3305	103	34	a	a	DET
fuelectenerg-3305	103	35	decomposable	decomposable	ADJ
fuelectenerg-3305	103	36	abelian	abelian	ADJ
fuelectenerg-3305	103	37	group	group	NOUN
fuelectenerg-3305	104	1	[	[	X
fuelectenerg-3305	104	2	3	3	NUM
fuelectenerg-3305	104	3	]	]	PUNCT
fuelectenerg-3305	104	4	.	.	PUNCT
fuelectenerg-3305	105	1	links	link	NOUN
fuelectenerg-3305	105	2	to	to	ADP
fuelectenerg-3305	105	3	the	the	DET
fuelectenerg-3305	105	4	hadamard	hadamard	ADJ
fuelectenerg-3305	105	5	matrices	matrix	NOUN
fuelectenerg-3305	105	6	are	be	AUX
fuelectenerg-3305	105	7	used	use	VERB
fuelectenerg-3305	105	8	[	[	PUNCT
fuelectenerg-3305	105	9	2	2	NUM
fuelectenerg-3305	105	10	]	]	PUNCT
fuelectenerg-3305	105	11	,	,	PUNCT
fuelectenerg-3305	105	12	[	[	X
fuelectenerg-3305	105	13	3	3	NUM
fuelectenerg-3305	105	14	]	]	PUNCT
fuelectenerg-3305	105	15	,	,	PUNCT
fuelectenerg-3305	105	16	[	[	X
fuelectenerg-3305	105	17	12	12	NUM
fuelectenerg-3305	105	18	]	]	PUNCT
fuelectenerg-3305	105	19	,	,	PUNCT
fuelectenerg-3305	105	20	[	[	X
fuelectenerg-3305	105	21	16	16	NUM
fuelectenerg-3305	105	22	]	]	PUNCT
fuelectenerg-3305	105	23	.	.	PUNCT
fuelectenerg-3305	106	1	2.1	2.1	NUM
fuelectenerg-3305	106	2	walsh	walsh	NOUN
fuelectenerg-3305	106	3	spectrum	spectrum	NOUN
fuelectenerg-3305	106	4	definition	definition	NOUN
fuelectenerg-3305	106	5	1	1	NUM
fuelectenerg-3305	106	6	walsh	walsh	NOUN
fuelectenerg-3305	106	7	spectrum	spectrum	NOUN
fuelectenerg-3305	106	8	.	.	PUNCT
fuelectenerg-3305	107	1	in	in	ADP
fuelectenerg-3305	107	2	the	the	DET
fuelectenerg-3305	107	3	so	so	ADV
fuelectenerg-3305	107	4	-	-	PUNCT
fuelectenerg-3305	107	5	called	call	VERB
fuelectenerg-3305	107	6	hadamard	hadamard	PROPN
fuelectenerg-3305	107	7	ordering	ordering	NOUN
fuelectenerg-3305	107	8	,	,	PUNCT
fuelectenerg-3305	107	9	the	the	DET
fuelectenerg-3305	107	10	walsh	walsh	PROPN
fuelectenerg-3305	107	11	spectrum	spectrum	NOUN
fuelectenerg-3305	107	12	sf	sf	PROPN
fuelectenerg-3305	107	13	(	(	PUNCT
fuelectenerg-3305	107	14	n	n	CCONJ
fuelectenerg-3305	107	15	)	)	PUNCT
fuelectenerg-3305	107	16	of	of	ADP
fuelectenerg-3305	107	17	a	a	DET
fuelectenerg-3305	107	18	boolean	boolean	ADJ
fuelectenerg-3305	107	19	function	function	NOUN
fuelectenerg-3305	107	20	f(x1	f(x1	NOUN
fuelectenerg-3305	107	21	,	,	PUNCT
fuelectenerg-3305	107	22	·	·	PUNCT
fuelectenerg-3305	107	23	·	·	PUNCT
fuelectenerg-3305	107	24	·	·	PUNCT
fuelectenerg-3305	107	25	,	,	PUNCT
fuelectenerg-3305	107	26	xn	xn	X
fuelectenerg-3305	107	27	)	)	PUNCT
fuelectenerg-3305	107	28	is	be	AUX
fuelectenerg-3305	107	29	defined	define	VERB
fuelectenerg-3305	107	30	as	as	ADP
fuelectenerg-3305	107	31	sf	sf	PROPN
fuelectenerg-3305	107	32	(	(	PUNCT
fuelectenerg-3305	107	33	n	n	CCONJ
fuelectenerg-3305	107	34	)	)	PUNCT
fuelectenerg-3305	107	35	=	=	SYM
fuelectenerg-3305	107	36	w(n)f(n	w(n)f(n	NOUN
fuelectenerg-3305	107	37	)	)	PUNCT
fuelectenerg-3305	107	38	=	=	PUNCT
fuelectenerg-3305	107	39	w(1)⊗nf(n	w(1)⊗nf(n	PROPN
fuelectenerg-3305	107	40	)	)	PUNCT
fuelectenerg-3305	107	41	,	,	PUNCT
fuelectenerg-3305	107	42	(	(	PUNCT
fuelectenerg-3305	107	43	1	1	X
fuelectenerg-3305	107	44	)	)	PUNCT
fuelectenerg-3305	107	45	where	where	SCONJ
fuelectenerg-3305	107	46	⊗	⊗	PROPN
fuelectenerg-3305	107	47	denotes	denote	VERB
fuelectenerg-3305	107	48	the	the	DET
fuelectenerg-3305	107	49	kronecker	kronecker	NOUN
fuelectenerg-3305	107	50	product	product	NOUN
fuelectenerg-3305	107	51	,	,	PUNCT
fuelectenerg-3305	107	52	w(1	w(1	PROPN
fuelectenerg-3305	107	53	)	)	PUNCT
fuelectenerg-3305	108	1	=	=	PUNCT
fuelectenerg-3305	108	2	[	[	PUNCT
fuelectenerg-3305	108	3	1	1	NUM
fuelectenerg-3305	108	4	1	1	NUM
fuelectenerg-3305	108	5	1	1	NUM
fuelectenerg-3305	108	6	−1	−1	NOUN
fuelectenerg-3305	108	7	]	]	PUNCT
fuelectenerg-3305	108	8	,	,	PUNCT
fuelectenerg-3305	108	9	and	and	CCONJ
fuelectenerg-3305	108	10	f(n	f(n	PROPN
fuelectenerg-3305	108	11	)	)	PUNCT
fuelectenerg-3305	108	12	is	be	AUX
fuelectenerg-3305	108	13	the	the	DET
fuelectenerg-3305	108	14	value	value	NOUN
fuelectenerg-3305	108	15	vector	vector	NOUN
fuelectenerg-3305	108	16	of	of	ADP
fuelectenerg-3305	108	17	the	the	DET
fuelectenerg-3305	108	18	function	function	NOUN
fuelectenerg-3305	108	19	f	f	PROPN
fuelectenerg-3305	108	20	in	in	ADP
fuelectenerg-3305	108	21	the	the	DET
fuelectenerg-3305	108	22	(	(	PUNCT
fuelectenerg-3305	108	23	0	0	NUM
fuelectenerg-3305	108	24	,	,	PUNCT
fuelectenerg-3305	108	25	1	1	NUM
fuelectenerg-3305	108	26	)	)	PUNCT
fuelectenerg-3305	108	27	→	→	SYM
fuelectenerg-3305	108	28	(	(	PUNCT
fuelectenerg-3305	108	29	1,−1	1,−1	NUM
fuelectenerg-3305	108	30	)	)	PUNCT
fuelectenerg-3305	108	31	encoding	encoding	NOUN
fuelectenerg-3305	108	32	,	,	PUNCT
fuelectenerg-3305	108	33	i.e.	i.e.	X
fuelectenerg-3305	108	34	,	,	PUNCT
fuelectenerg-3305	108	35	f(n	f(n	PROPN
fuelectenerg-3305	108	36	)	)	PUNCT
fuelectenerg-3305	108	37	=	=	PUNCT
fuelectenerg-3305	109	1	[	[	X
fuelectenerg-3305	109	2	(	(	PUNCT
fuelectenerg-3305	109	3	−1)f(0	−1)f(0	NOUN
fuelectenerg-3305	109	4	)	)	PUNCT
fuelectenerg-3305	109	5	,	,	PUNCT
fuelectenerg-3305	109	6	(	(	PUNCT
fuelectenerg-3305	109	7	−1)f(1	−1)f(1	NOUN
fuelectenerg-3305	109	8	)	)	PUNCT
fuelectenerg-3305	109	9	,	,	PUNCT
fuelectenerg-3305	109	10	·	·	PUNCT
fuelectenerg-3305	109	11	·	·	PUNCT
fuelectenerg-3305	109	12	·	·	PUNCT
fuelectenerg-3305	109	13	,	,	PUNCT
fuelectenerg-3305	109	14	(	(	PUNCT
fuelectenerg-3305	109	15	−1)f(2	−1)f(2	ADV
fuelectenerg-3305	109	16	n−1	n−1	PROPN
fuelectenerg-3305	109	17	)	)	PUNCT
fuelectenerg-3305	109	18	]	]	PUNCT
fuelectenerg-3305	109	19	.	.	PUNCT
fuelectenerg-3305	110	1	the	the	DET
fuelectenerg-3305	110	2	walsh	walsh	PROPN
fuelectenerg-3305	110	3	spectrum	spectrum	NOUN
fuelectenerg-3305	110	4	sf	sf	PROPN
fuelectenerg-3305	110	5	(	(	PUNCT
fuelectenerg-3305	110	6	n	n	CCONJ
fuelectenerg-3305	110	7	)	)	PUNCT
fuelectenerg-3305	110	8	of	of	ADP
fuelectenerg-3305	110	9	a	a	DET
fuelectenerg-3305	110	10	function	function	NOUN
fuelectenerg-3305	110	11	of	of	ADP
fuelectenerg-3305	110	12	n	n	PRON
fuelectenerg-3305	110	13	binary	binary	ADJ
fuelectenerg-3305	110	14	variables	variable	NOUN
fuelectenerg-3305	110	15	is	be	AUX
fuelectenerg-3305	110	16	a	a	DET
fuelectenerg-3305	110	17	vector	vector	NOUN
fuelectenerg-3305	110	18	of	of	ADP
fuelectenerg-3305	110	19	2n	2n	NUM
fuelectenerg-3305	110	20	coefficients	coefficient	NOUN
fuelectenerg-3305	110	21	.	.	PUNCT
fuelectenerg-3305	111	1	here	here	ADV
fuelectenerg-3305	111	2	we	we	PRON
fuelectenerg-3305	111	3	will	will	AUX
fuelectenerg-3305	111	4	use	use	VERB
fuelectenerg-3305	111	5	a	a	DET
fuelectenerg-3305	111	6	notation	notation	NOUN
fuelectenerg-3305	111	7	for	for	ADP
fuelectenerg-3305	111	8	spectral	spectral	ADJ
fuelectenerg-3305	111	9	coefficients	coefficient	NOUN
fuelectenerg-3305	111	10	with	with	ADP
fuelectenerg-3305	111	11	binary	binary	ADJ
fuelectenerg-3305	111	12	subscripts	subscript	NOUN
fuelectenerg-3305	111	13	sb1,b2	sb1,b2	PROPN
fuelectenerg-3305	111	14	,	,	PUNCT
fuelectenerg-3305	111	15	·	·	PUNCT
fuelectenerg-3305	111	16	·	·	PUNCT
fuelectenerg-3305	111	17	·	·	PUNCT
fuelectenerg-3305	111	18	,	,	PUNCT
fuelectenerg-3305	111	19	bn	bn	INTJ
fuelectenerg-3305	111	20	where	where	SCONJ
fuelectenerg-3305	111	21	bi	bi	PROPN
fuelectenerg-3305	111	22	∈	∈	PROPN
fuelectenerg-3305	111	23	{	{	PUNCT
fuelectenerg-3305	111	24	0	0	NUM
fuelectenerg-3305	111	25	,	,	PUNCT
fuelectenerg-3305	111	26	1	1	NUM
fuelectenerg-3305	111	27	}	}	PUNCT
fuelectenerg-3305	111	28	,	,	PUNCT
fuelectenerg-3305	111	29	i	i	PRON
fuelectenerg-3305	111	30	=	=	NOUN
fuelectenerg-3305	111	31	1	1	NUM
fuelectenerg-3305	111	32	,	,	PUNCT
fuelectenerg-3305	111	33	2	2	NUM
fuelectenerg-3305	111	34	,	,	PUNCT
fuelectenerg-3305	111	35	·	·	PUNCT
fuelectenerg-3305	111	36	·	·	PUNCT
fuelectenerg-3305	111	37	·	·	PUNCT
fuelectenerg-3305	111	38	,	,	PUNCT
fuelectenerg-3305	111	39	n	n	CCONJ
fuelectenerg-3305	111	40	sf	sf	X
fuelectenerg-3305	111	41	(	(	PUNCT
fuelectenerg-3305	111	42	n	n	CCONJ
fuelectenerg-3305	111	43	)	)	PUNCT
fuelectenerg-3305	111	44	=	=	PUNCT
fuelectenerg-3305	112	1	[	[	X
fuelectenerg-3305	112	2	s00	s00	NOUN
fuelectenerg-3305	112	3	...	...	PUNCT
fuelectenerg-3305	112	4	0	0	NUM
fuelectenerg-3305	112	5	,	,	PUNCT
fuelectenerg-3305	112	6	s00	s00	NOUN
fuelectenerg-3305	112	7	...	...	PUNCT
fuelectenerg-3305	112	8	1	1	NUM
fuelectenerg-3305	112	9	,	,	PUNCT
fuelectenerg-3305	112	10	·	·	PUNCT
fuelectenerg-3305	112	11	·	·	PUNCT
fuelectenerg-3305	112	12	·	·	PUNCT
fuelectenerg-3305	112	13	,	,	PUNCT
fuelectenerg-3305	112	14	s11	s11	PROPN
fuelectenerg-3305	112	15	...	...	PUNCT
fuelectenerg-3305	112	16	1	1	NUM
fuelectenerg-3305	112	17	]	]	PUNCT
fuelectenerg-3305	112	18	.	.	PUNCT
fuelectenerg-3305	112	19	4	4	NUM
fuelectenerg-3305	112	20	m.	m.	NOUN
fuelectenerg-3305	112	21	stankovic	stankovic	PROPN
fuelectenerg-3305	112	22	,	,	PUNCT
fuelectenerg-3305	112	23	c.	c.	PROPN
fuelectenerg-3305	112	24	moraga	moraga	PROPN
fuelectenerg-3305	112	25	,	,	PUNCT
fuelectenerg-3305	112	26	r.	r.	PROPN
fuelectenerg-3305	112	27	s.	s.	PROPN
fuelectenerg-3305	112	28	stanković	stanković	PROPN
fuelectenerg-3305	112	29	the	the	DET
fuelectenerg-3305	112	30	first	first	ADJ
fuelectenerg-3305	112	31	coefficient	coefficient	NOUN
fuelectenerg-3305	112	32	with	with	ADP
fuelectenerg-3305	112	33	the	the	DET
fuelectenerg-3305	112	34	index	index	NOUN
fuelectenerg-3305	112	35	i	i	PRON
fuelectenerg-3305	112	36	=	=	PUNCT
fuelectenerg-3305	112	37	(	(	PUNCT
fuelectenerg-3305	112	38	00	00	NUM
fuelectenerg-3305	112	39	.	.	PUNCT
fuelectenerg-3305	112	40	.	.	PUNCT
fuelectenerg-3305	113	1	.	.	PUNCT
fuelectenerg-3305	114	1	0	0	X
fuelectenerg-3305	114	2	)	)	PUNCT
fuelectenerg-3305	114	3	is	be	AUX
fuelectenerg-3305	114	4	called	call	VERB
fuelectenerg-3305	114	5	the	the	DET
fuelectenerg-3305	114	6	zero	zero	NUM
fuelectenerg-3305	114	7	order	order	NOUN
fuelectenerg-3305	114	8	coefficient	coefficient	NOUN
fuelectenerg-3305	114	9	,	,	PUNCT
fuelectenerg-3305	114	10	and	and	CCONJ
fuelectenerg-3305	114	11	the	the	DET
fuelectenerg-3305	114	12	coefficients	coefficient	NOUN
fuelectenerg-3305	114	13	with	with	ADP
fuelectenerg-3305	114	14	the	the	DET
fuelectenerg-3305	114	15	single	single	ADJ
fuelectenerg-3305	114	16	1	1	NUM
fuelectenerg-3305	114	17	in	in	ADP
fuelectenerg-3305	114	18	the	the	DET
fuelectenerg-3305	114	19	binary	binary	ADJ
fuelectenerg-3305	114	20	representation	representation	NOUN
fuelectenerg-3305	114	21	of	of	ADP
fuelectenerg-3305	114	22	the	the	DET
fuelectenerg-3305	114	23	indices	index	NOUN
fuelectenerg-3305	114	24	are	be	AUX
fuelectenerg-3305	114	25	the	the	DET
fuelectenerg-3305	114	26	coefficients	coefficient	NOUN
fuelectenerg-3305	114	27	of	of	ADP
fuelectenerg-3305	114	28	the	the	DET
fuelectenerg-3305	114	29	first	first	ADJ
fuelectenerg-3305	114	30	order	order	NOUN
fuelectenerg-3305	114	31	.	.	PUNCT
fuelectenerg-3305	115	1	walsh	walsh	PROPN
fuelectenerg-3305	115	2	spectral	spectral	ADJ
fuelectenerg-3305	115	3	coefficients	coefficient	NOUN
fuelectenerg-3305	115	4	are	be	AUX
fuelectenerg-3305	115	5	seen	see	VERB
fuelectenerg-3305	115	6	to	to	PART
fuelectenerg-3305	115	7	be	be	AUX
fuelectenerg-3305	115	8	a	a	DET
fuelectenerg-3305	115	9	form	form	NOUN
fuelectenerg-3305	115	10	of	of	ADP
fuelectenerg-3305	115	11	correlation	correlation	NOUN
fuelectenerg-3305	115	12	between	between	ADP
fuelectenerg-3305	115	13	function	function	NOUN
fuelectenerg-3305	115	14	inputs	input	NOUN
fuelectenerg-3305	115	15	and	and	CCONJ
fuelectenerg-3305	115	16	the	the	DET
fuelectenerg-3305	115	17	output	output	NOUN
fuelectenerg-3305	115	18	.	.	PUNCT
fuelectenerg-3305	116	1	2.2	2.2	NUM
fuelectenerg-3305	116	2	spectral	spectral	ADJ
fuelectenerg-3305	116	3	invariant	invariant	ADJ
fuelectenerg-3305	116	4	operations	operation	NOUN
fuelectenerg-3305	116	5	in	in	ADP
fuelectenerg-3305	116	6	walsh	walsh	PROPN
fuelectenerg-3305	116	7	classification	classification	NOUN
fuelectenerg-3305	116	8	,	,	PUNCT
fuelectenerg-3305	116	9	classification	classification	NOUN
fuelectenerg-3305	116	10	rules	rule	NOUN
fuelectenerg-3305	116	11	are	be	AUX
fuelectenerg-3305	116	12	derived	derive	VERB
fuelectenerg-3305	116	13	from	from	ADP
fuelectenerg-3305	116	14	the	the	DET
fuelectenerg-3305	116	15	so	so	ADV
fuelectenerg-3305	116	16	-	-	PUNCT
fuelectenerg-3305	116	17	called	call	VERB
fuelectenerg-3305	116	18	spectral	spectral	ADJ
fuelectenerg-3305	116	19	invariant	invariant	ADJ
fuelectenerg-3305	116	20	operations	operation	NOUN
fuelectenerg-3305	116	21	defined	define	VERB
fuelectenerg-3305	116	22	as	as	ADP
fuelectenerg-3305	116	23	operations	operation	NOUN
fuelectenerg-3305	116	24	that	that	PRON
fuelectenerg-3305	116	25	preserve	preserve	VERB
fuelectenerg-3305	116	26	the	the	DET
fuelectenerg-3305	116	27	absolute	absolute	ADJ
fuelectenerg-3305	116	28	values	value	NOUN
fuelectenerg-3305	116	29	of	of	ADP
fuelectenerg-3305	116	30	walsh	walsh	PROPN
fuelectenerg-3305	116	31	spectral	spectral	ADJ
fuelectenerg-3305	116	32	coefficients	coefficient	NOUN
fuelectenerg-3305	116	33	of	of	ADP
fuelectenerg-3305	116	34	boolean	boolean	ADJ
fuelectenerg-3305	116	35	functions	function	NOUN
fuelectenerg-3305	116	36	.	.	PUNCT
fuelectenerg-3305	117	1	in	in	ADP
fuelectenerg-3305	117	2	other	other	ADJ
fuelectenerg-3305	117	3	words	word	NOUN
fuelectenerg-3305	117	4	,	,	PUNCT
fuelectenerg-3305	117	5	spectral	spectral	ADJ
fuelectenerg-3305	117	6	invariant	invariant	ADJ
fuelectenerg-3305	117	7	operations	operation	NOUN
fuelectenerg-3305	117	8	perform	perform	VERB
fuelectenerg-3305	117	9	permutation	permutation	NOUN
fuelectenerg-3305	117	10	and	and	CCONJ
fuelectenerg-3305	117	11	change	change	VERB
fuelectenerg-3305	117	12	the	the	DET
fuelectenerg-3305	117	13	sign	sign	NOUN
fuelectenerg-3305	117	14	of	of	ADP
fuelectenerg-3305	117	15	walsh	walsh	PROPN
fuelectenerg-3305	117	16	coefficients	coefficient	NOUN
fuelectenerg-3305	117	17	.	.	PUNCT
fuelectenerg-3305	118	1	in	in	ADP
fuelectenerg-3305	118	2	order	order	NOUN
fuelectenerg-3305	118	3	to	to	PART
fuelectenerg-3305	118	4	ensure	ensure	VERB
fuelectenerg-3305	118	5	that	that	SCONJ
fuelectenerg-3305	118	6	walsh	walsh	PROPN
fuelectenerg-3305	118	7	spectra	spectra	NOUN
fuelectenerg-3305	118	8	with	with	ADP
fuelectenerg-3305	118	9	permuted	permuted	ADJ
fuelectenerg-3305	118	10	coefficients	coefficient	NOUN
fuelectenerg-3305	118	11	will	will	AUX
fuelectenerg-3305	118	12	remain	remain	VERB
fuelectenerg-3305	118	13	the	the	DET
fuelectenerg-3305	118	14	spectra	spectra	NOUN
fuelectenerg-3305	118	15	of	of	ADP
fuelectenerg-3305	118	16	boolean	boolean	ADJ
fuelectenerg-3305	118	17	and	and	CCONJ
fuelectenerg-3305	118	18	not	not	PART
fuelectenerg-3305	118	19	some	some	DET
fuelectenerg-3305	118	20	other	other	ADJ
fuelectenerg-3305	118	21	integer	integer	NOUN
fuelectenerg-3305	118	22	valued	value	VERB
fuelectenerg-3305	118	23	functions	function	NOUN
fuelectenerg-3305	118	24	,	,	PUNCT
fuelectenerg-3305	118	25	these	these	DET
fuelectenerg-3305	118	26	permutations	permutation	NOUN
fuelectenerg-3305	118	27	are	be	AUX
fuelectenerg-3305	118	28	not	not	PART
fuelectenerg-3305	118	29	arbitrary	arbitrary	ADJ
fuelectenerg-3305	118	30	.	.	PUNCT
fuelectenerg-3305	119	1	a	a	DET
fuelectenerg-3305	119	2	permutation	permutation	NOUN
fuelectenerg-3305	119	3	of	of	ADP
fuelectenerg-3305	119	4	some	some	DET
fuelectenerg-3305	119	5	walsh	walsh	NOUN
fuelectenerg-3305	119	6	coefficients	coefficient	NOUN
fuelectenerg-3305	119	7	requires	require	VERB
fuelectenerg-3305	119	8	a	a	DET
fuelectenerg-3305	119	9	simultaneous	simultaneous	ADJ
fuelectenerg-3305	119	10	permutation	permutation	NOUN
fuelectenerg-3305	119	11	of	of	ADP
fuelectenerg-3305	119	12	certain	certain	ADJ
fuelectenerg-3305	119	13	precisely	precisely	ADV
fuelectenerg-3305	119	14	specified	specified	ADJ
fuelectenerg-3305	119	15	subsets	subset	NOUN
fuelectenerg-3305	119	16	of	of	ADP
fuelectenerg-3305	119	17	walsh	walsh	PROPN
fuelectenerg-3305	119	18	coefficients	coefficient	NOUN
fuelectenerg-3305	119	19	(	(	PUNCT
fuelectenerg-3305	119	20	definition	definition	NOUN
fuelectenerg-3305	119	21	2	2	NUM
fuelectenerg-3305	119	22	)	)	PUNCT
fuelectenerg-3305	119	23	.	.	PUNCT
fuelectenerg-3305	120	1	definition	definition	NOUN
fuelectenerg-3305	120	2	2	2	NUM
fuelectenerg-3305	120	3	spectral	spectral	ADJ
fuelectenerg-3305	120	4	invariant	invariant	ADJ
fuelectenerg-3305	120	5	operations	operation	NOUN
fuelectenerg-3305	120	6	are	be	AUX
fuelectenerg-3305	120	7	defined	define	VERB
fuelectenerg-3305	120	8	as	as	ADP
fuelectenerg-3305	120	9	1	1	NUM
fuelectenerg-3305	120	10	.	.	PUNCT
fuelectenerg-3305	120	11	negation	negation	NOUN
fuelectenerg-3305	120	12	(	(	PUNCT
fuelectenerg-3305	120	13	complement	complement	NOUN
fuelectenerg-3305	120	14	)	)	PUNCT
fuelectenerg-3305	120	15	of	of	ADP
fuelectenerg-3305	120	16	the	the	DET
fuelectenerg-3305	120	17	f(x1	f(x1	NOUN
fuelectenerg-3305	120	18	,	,	PUNCT
fuelectenerg-3305	120	19	·	·	PUNCT
fuelectenerg-3305	120	20	·	·	PUNCT
fuelectenerg-3305	120	21	·	·	PUNCT
fuelectenerg-3305	120	22	,	,	PUNCT
fuelectenerg-3305	120	23	xn	xn	PROPN
fuelectenerg-3305	120	24	)	)	PUNCT
fuelectenerg-3305	120	25	.	.	PUNCT
fuelectenerg-3305	121	1	this	this	PRON
fuelectenerg-3305	121	2	results	result	VERB
fuelectenerg-3305	121	3	in	in	ADP
fuelectenerg-3305	121	4	the	the	DET
fuelectenerg-3305	121	5	change	change	NOUN
fuelectenerg-3305	121	6	of	of	ADP
fuelectenerg-3305	121	7	sign	sign	NOUN
fuelectenerg-3305	121	8	of	of	ADP
fuelectenerg-3305	121	9	all	all	DET
fuelectenerg-3305	121	10	spectral	spectral	ADJ
fuelectenerg-3305	121	11	coefficients	coefficient	NOUN
fuelectenerg-3305	121	12	without	without	ADP
fuelectenerg-3305	121	13	the	the	DET
fuelectenerg-3305	121	14	change	change	NOUN
fuelectenerg-3305	121	15	of	of	ADP
fuelectenerg-3305	121	16	their	their	PRON
fuelectenerg-3305	121	17	absolute	absolute	ADJ
fuelectenerg-3305	121	18	values	value	NOUN
fuelectenerg-3305	121	19	.	.	PUNCT
fuelectenerg-3305	122	1	2	2	X
fuelectenerg-3305	122	2	.	.	NUM
fuelectenerg-3305	122	3	negation	negation	NOUN
fuelectenerg-3305	122	4	(	(	PUNCT
fuelectenerg-3305	122	5	complement	complement	NOUN
fuelectenerg-3305	122	6	)	)	PUNCT
fuelectenerg-3305	122	7	of	of	ADP
fuelectenerg-3305	122	8	any	any	DET
fuelectenerg-3305	122	9	input	input	NOUN
fuelectenerg-3305	122	10	variable	variable	NOUN
fuelectenerg-3305	122	11	xi	xi	ADP
fuelectenerg-3305	122	12	,	,	PUNCT
fuelectenerg-3305	122	13	i	i	PRON
fuelectenerg-3305	122	14	∈	∈	PROPN
fuelectenerg-3305	122	15	(	(	PUNCT
fuelectenerg-3305	122	16	1	1	NUM
fuelectenerg-3305	122	17	,	,	PUNCT
fuelectenerg-3305	122	18	·	·	PUNCT
fuelectenerg-3305	122	19	·	·	PUNCT
fuelectenerg-3305	122	20	·	·	PUNCT
fuelectenerg-3305	122	21	,	,	PUNCT
fuelectenerg-3305	122	22	n	n	CCONJ
fuelectenerg-3305	122	23	)	)	PUNCT
fuelectenerg-3305	122	24	.	.	PUNCT
fuelectenerg-3305	123	1	this	this	DET
fuelectenerg-3305	123	2	results	result	VERB
fuelectenerg-3305	123	3	in	in	ADP
fuelectenerg-3305	123	4	the	the	DET
fuelectenerg-3305	123	5	change	change	NOUN
fuelectenerg-3305	123	6	of	of	ADP
fuelectenerg-3305	123	7	the	the	DET
fuelectenerg-3305	123	8	sign	sign	NOUN
fuelectenerg-3305	123	9	of	of	ADP
fuelectenerg-3305	123	10	all	all	DET
fuelectenerg-3305	123	11	coefficients	coefficient	NOUN
fuelectenerg-3305	123	12	with	with	ADP
fuelectenerg-3305	123	13	bi	bi	NOUN
fuelectenerg-3305	123	14	=	=	NOUN
fuelectenerg-3305	123	15	1	1	NUM
fuelectenerg-3305	123	16	in	in	ADP
fuelectenerg-3305	123	17	the	the	DET
fuelectenerg-3305	123	18	subscripts	subscript	NOUN
fuelectenerg-3305	123	19	.	.	PUNCT
fuelectenerg-3305	124	1	sb0	sb0	NOUN
fuelectenerg-3305	124	2	,	,	PUNCT
fuelectenerg-3305	124	3	·	·	PUNCT
fuelectenerg-3305	124	4	·	·	PUNCT
fuelectenerg-3305	124	5	·	·	PUNCT
fuelectenerg-3305	124	6	,	,	PUNCT
fuelectenerg-3305	124	7	bi=1	bi=1	PROPN
fuelectenerg-3305	124	8	,	,	PUNCT
fuelectenerg-3305	124	9	·	·	PUNCT
fuelectenerg-3305	124	10	·	·	PUNCT
fuelectenerg-3305	124	11	·	·	PUNCT
fuelectenerg-3305	124	12	,	,	PUNCT
fuelectenerg-3305	124	13	bn	bn	X
fuelectenerg-3305	124	14	=	=	SYM
fuelectenerg-3305	124	15	−sb0	−sb0	PROPN
fuelectenerg-3305	124	16	,	,	PUNCT
fuelectenerg-3305	124	17	·	·	PUNCT
fuelectenerg-3305	124	18	·	·	PUNCT
fuelectenerg-3305	124	19	·	·	PUNCT
fuelectenerg-3305	124	20	,	,	PUNCT
fuelectenerg-3305	124	21	bi=1	bi=1	PROPN
fuelectenerg-3305	124	22	,	,	PUNCT
fuelectenerg-3305	124	23	·	·	PUNCT
fuelectenerg-3305	124	24	·	·	PUNCT
fuelectenerg-3305	124	25	·	·	PUNCT
fuelectenerg-3305	124	26	,	,	PUNCT
fuelectenerg-3305	124	27	bn	bn	INTJ
fuelectenerg-3305	124	28	.	.	PUNCT
fuelectenerg-3305	125	1	3	3	X
fuelectenerg-3305	125	2	.	.	X
fuelectenerg-3305	125	3	interchange	interchange	NOUN
fuelectenerg-3305	125	4	of	of	ADP
fuelectenerg-3305	125	5	any	any	DET
fuelectenerg-3305	125	6	input	input	NOUN
fuelectenerg-3305	125	7	variable	variable	NOUN
fuelectenerg-3305	125	8	xi	xi	X
fuelectenerg-3305	125	9	with	with	ADP
fuelectenerg-3305	125	10	xj	xj	PROPN
fuelectenerg-3305	125	11	,	,	PUNCT
fuelectenerg-3305	125	12	i	i	PROPN
fuelectenerg-3305	125	13	�	�	PROPN
fuelectenerg-3305	125	14	=	=	SYM
fuelectenerg-3305	125	15	j.	j.	PROPN
fuelectenerg-3305	125	16	in	in	ADP
fuelectenerg-3305	125	17	the	the	DET
fuelectenerg-3305	125	18	spectral	spectral	ADJ
fuelectenerg-3305	125	19	domain	domain	NOUN
fuelectenerg-3305	125	20	this	this	PRON
fuelectenerg-3305	125	21	corresponds	correspond	VERB
fuelectenerg-3305	125	22	to	to	ADP
fuelectenerg-3305	125	23	the	the	DET
fuelectenerg-3305	125	24	permutation	permutation	NOUN
fuelectenerg-3305	125	25	of	of	ADP
fuelectenerg-3305	125	26	the	the	DET
fuelectenerg-3305	125	27	binary	binary	ADJ
fuelectenerg-3305	125	28	values	value	NOUN
fuelectenerg-3305	125	29	at	at	ADP
fuelectenerg-3305	125	30	the	the	DET
fuelectenerg-3305	125	31	positions	position	NOUN
fuelectenerg-3305	125	32	i	i	PRON
fuelectenerg-3305	125	33	and	and	CCONJ
fuelectenerg-3305	125	34	j	j	PROPN
fuelectenerg-3305	125	35	in	in	ADP
fuelectenerg-3305	125	36	the	the	DET
fuelectenerg-3305	125	37	subscripts	subscript	NOUN
fuelectenerg-3305	125	38	:	:	PUNCT
fuelectenerg-3305	125	39	sb0	sb0	NOUN
fuelectenerg-3305	125	40	,	,	PUNCT
fuelectenerg-3305	125	41	·	·	PUNCT
fuelectenerg-3305	125	42	·	·	PUNCT
fuelectenerg-3305	125	43	·	·	PUNCT
fuelectenerg-3305	125	44	,	,	PUNCT
fuelectenerg-3305	125	45	bi	bi	PROPN
fuelectenerg-3305	125	46	,	,	PUNCT
fuelectenerg-3305	125	47	·	·	PUNCT
fuelectenerg-3305	125	48	·	·	PUNCT
fuelectenerg-3305	125	49	·	·	PUNCT
fuelectenerg-3305	125	50	,	,	PUNCT
fuelectenerg-3305	125	51	bj	bj	ADP
fuelectenerg-3305	125	52	·	·	PUNCT
fuelectenerg-3305	125	53	·	·	PUNCT
fuelectenerg-3305	125	54	·	·	PUNCT
fuelectenerg-3305	125	55	,	,	PUNCT
fuelectenerg-3305	126	1	bn	bn	NUM
fuelectenerg-3305	126	2	↔	↔	PROPN
fuelectenerg-3305	126	3	sb0	sb0	NOUN
fuelectenerg-3305	126	4	,	,	PUNCT
fuelectenerg-3305	126	5	·	·	PUNCT
fuelectenerg-3305	126	6	·	·	PUNCT
fuelectenerg-3305	126	7	·	·	PUNCT
fuelectenerg-3305	126	8	,	,	PUNCT
fuelectenerg-3305	126	9	bj	bj	INTJ
fuelectenerg-3305	126	10	,	,	PUNCT
fuelectenerg-3305	126	11	·	·	PUNCT
fuelectenerg-3305	126	12	·	·	PUNCT
fuelectenerg-3305	126	13	·	·	PUNCT
fuelectenerg-3305	126	14	,	,	PUNCT
fuelectenerg-3305	126	15	bi	bi	PROPN
fuelectenerg-3305	126	16	·	·	PROPN
fuelectenerg-3305	126	17	·	·	PUNCT
fuelectenerg-3305	126	18	·	·	PUNCT
fuelectenerg-3305	126	19	,	,	PUNCT
fuelectenerg-3305	126	20	bn	bn	INTJ
fuelectenerg-3305	126	21	,	,	PUNCT
fuelectenerg-3305	126	22	4	4	X
fuelectenerg-3305	126	23	.	.	X
fuelectenerg-3305	126	24	replacement	replacement	NOUN
fuelectenerg-3305	126	25	of	of	ADP
fuelectenerg-3305	126	26	any	any	DET
fuelectenerg-3305	126	27	input	input	NOUN
fuelectenerg-3305	126	28	variable	variable	NOUN
fuelectenerg-3305	126	29	xi	xi	NOUN
fuelectenerg-3305	126	30	,	,	PUNCT
fuelectenerg-3305	126	31	by	by	ADP
fuelectenerg-3305	126	32	the	the	DET
fuelectenerg-3305	126	33	exclusive	exclusive	ADJ
fuelectenerg-3305	126	34	-	-	PUNCT
fuelectenerg-3305	126	35	or	or	CCONJ
fuelectenerg-3305	126	36	sum	sum	NOUN
fuelectenerg-3305	126	37	xi	xi	PROPN
fuelectenerg-3305	126	38	⊕	⊕	PROPN
fuelectenerg-3305	126	39	xj	xj	PROPN
fuelectenerg-3305	126	40	,	,	PUNCT
fuelectenerg-3305	126	41	i	i	PRON
fuelectenerg-3305	126	42	�	�	PROPN
fuelectenerg-3305	126	43	=	=	SYM
fuelectenerg-3305	126	44	j.	j.	PROPN
fuelectenerg-3305	127	1	this	this	DET
fuelectenerg-3305	127	2	operation	operation	NOUN
fuelectenerg-3305	127	3	results	result	VERB
fuelectenerg-3305	127	4	in	in	ADP
fuelectenerg-3305	127	5	the	the	DET
fuelectenerg-3305	127	6	interchange	interchange	NOUN
fuelectenerg-3305	127	7	of	of	ADP
fuelectenerg-3305	127	8	all	all	DET
fuelectenerg-3305	127	9	coefficient	coefficient	NOUN
fuelectenerg-3305	127	10	values	value	NOUN
fuelectenerg-3305	127	11	with	with	ADP
fuelectenerg-3305	127	12	bi	bi	NOUN
fuelectenerg-3305	127	13	=	=	PROPN
fuelectenerg-3305	127	14	1	1	NUM
fuelectenerg-3305	127	15	,	,	PUNCT
fuelectenerg-3305	127	16	bj	bj	VERB
fuelectenerg-3305	127	17	in	in	ADP
fuelectenerg-3305	127	18	the	the	DET
fuelectenerg-3305	127	19	subscripts	subscript	NOUN
fuelectenerg-3305	127	20	with	with	ADP
fuelectenerg-3305	127	21	the	the	DET
fuelectenerg-3305	127	22	coefficients	coefficient	NOUN
fuelectenerg-3305	127	23	having	have	VERB
fuelectenerg-3305	127	24	bi	bi	NOUN
fuelectenerg-3305	127	25	=	=	NOUN
fuelectenerg-3305	127	26	1	1	NUM
fuelectenerg-3305	127	27	,	,	PUNCT
fuelectenerg-3305	127	28	b̄j	b̄j	NOUN
fuelectenerg-3305	127	29	,	,	PUNCT
fuelectenerg-3305	127	30	while	while	SCONJ
fuelectenerg-3305	127	31	all	all	DET
fuelectenerg-3305	127	32	the	the	DET
fuelectenerg-3305	127	33	coefficients	coefficient	NOUN
fuelectenerg-3305	127	34	with	with	ADP
fuelectenerg-3305	127	35	bi	bi	NOUN
fuelectenerg-3305	127	36	=	=	NOUN
fuelectenerg-3305	127	37	0	0	NUM
fuelectenerg-3305	127	38	in	in	ADP
fuelectenerg-3305	127	39	the	the	DET
fuelectenerg-3305	127	40	subscripts	subscript	NOUN
fuelectenerg-3305	127	41	remain	remain	VERB
fuelectenerg-3305	127	42	unchanged	unchanged	ADJ
fuelectenerg-3305	127	43	:	:	PUNCT
fuelectenerg-3305	127	44	sb0	sb0	NOUN
fuelectenerg-3305	127	45	,	,	PUNCT
fuelectenerg-3305	127	46	·	·	PUNCT
fuelectenerg-3305	127	47	·	·	PUNCT
fuelectenerg-3305	127	48	·	·	PUNCT
fuelectenerg-3305	127	49	,	,	PUNCT
fuelectenerg-3305	127	50	bi=1	bi=1	PROPN
fuelectenerg-3305	127	51	,	,	PUNCT
fuelectenerg-3305	127	52	·	·	PUNCT
fuelectenerg-3305	127	53	·	·	PUNCT
fuelectenerg-3305	127	54	·	·	PUNCT
fuelectenerg-3305	127	55	,	,	PUNCT
fuelectenerg-3305	127	56	bj	bj	INTJ
fuelectenerg-3305	127	57	,	,	PUNCT
fuelectenerg-3305	127	58	·	·	PUNCT
fuelectenerg-3305	127	59	·	·	PUNCT
fuelectenerg-3305	127	60	·	·	PUNCT
fuelectenerg-3305	127	61	,	,	PUNCT
fuelectenerg-3305	127	62	bn	bn	NUM
fuelectenerg-3305	127	63	↔	↔	PROPN
fuelectenerg-3305	127	64	sb0	sb0	NOUN
fuelectenerg-3305	127	65	,	,	PUNCT
fuelectenerg-3305	127	66	·	·	PUNCT
fuelectenerg-3305	127	67	·	·	PUNCT
fuelectenerg-3305	127	68	·	·	PUNCT
fuelectenerg-3305	127	69	,	,	PUNCT
fuelectenerg-3305	127	70	bi=1	bi=1	PROPN
fuelectenerg-3305	127	71	,	,	PUNCT
fuelectenerg-3305	127	72	·	·	PUNCT
fuelectenerg-3305	127	73	·	·	PUNCT
fuelectenerg-3305	127	74	·	·	PUNCT
fuelectenerg-3305	127	75	,	,	PUNCT
fuelectenerg-3305	127	76	b̄j	b̄j	NOUN
fuelectenerg-3305	127	77	,	,	PUNCT
fuelectenerg-3305	127	78	·	·	PUNCT
fuelectenerg-3305	127	79	·	·	PUNCT
fuelectenerg-3305	127	80	·	·	PUNCT
fuelectenerg-3305	127	81	,	,	PUNCT
fuelectenerg-3305	128	1	bn	bn	INTJ
fuelectenerg-3305	128	2	.	.	PUNCT
fuelectenerg-3305	129	1	190	190	NUM
fuelectenerg-3305	129	2	m.	m.	NOUN
fuelectenerg-3305	129	3	stanković	stanković	NOUN
fuelectenerg-3305	129	4	,	,	PUNCT
fuelectenerg-3305	129	5	c.	c.	PROPN
fuelectenerg-3305	129	6	moraga	moraga	PROPN
fuelectenerg-3305	129	7	,	,	PUNCT
fuelectenerg-3305	129	8	r.	r.	PROPN
fuelectenerg-3305	129	9	s.	s.	PROPN
fuelectenerg-3305	129	10	stanković	stanković	PROPN
fuelectenerg-3305	129	11	an	an	DET
fuelectenerg-3305	129	12	improved	improved	ADJ
fuelectenerg-3305	129	13	spectral	spectral	ADJ
fuelectenerg-3305	129	14	classification	classification	NOUN
fuelectenerg-3305	129	15	of	of	ADP
fuelectenerg-3305	129	16	boolean	boolean	ADJ
fuelectenerg-3305	129	17	functions	function	NOUN
fuelectenerg-3305	129	18	...	...	PUNCT
fuelectenerg-3305	129	19	191	191	NUM
fuelectenerg-3305	129	20	4	4	NUM
fuelectenerg-3305	129	21	m.	m.	NOUN
fuelectenerg-3305	129	22	stankovic	stankovic	PROPN
fuelectenerg-3305	129	23	,	,	PUNCT
fuelectenerg-3305	129	24	c.	c.	PROPN
fuelectenerg-3305	129	25	moraga	moraga	PROPN
fuelectenerg-3305	129	26	,	,	PUNCT
fuelectenerg-3305	129	27	r.	r.	PROPN
fuelectenerg-3305	129	28	s.	s.	PROPN
fuelectenerg-3305	129	29	stanković	stanković	PROPN
fuelectenerg-3305	130	1	the	the	DET
fuelectenerg-3305	130	2	first	first	ADJ
fuelectenerg-3305	130	3	coefficient	coefficient	NOUN
fuelectenerg-3305	130	4	with	with	ADP
fuelectenerg-3305	130	5	the	the	DET
fuelectenerg-3305	130	6	index	index	NOUN
fuelectenerg-3305	130	7	i	i	PRON
fuelectenerg-3305	130	8	=	=	PUNCT
fuelectenerg-3305	130	9	(	(	PUNCT
fuelectenerg-3305	130	10	00	00	NUM
fuelectenerg-3305	130	11	.	.	PUNCT
fuelectenerg-3305	130	12	.	.	PUNCT
fuelectenerg-3305	131	1	.	.	PUNCT
fuelectenerg-3305	132	1	0	0	X
fuelectenerg-3305	132	2	)	)	PUNCT
fuelectenerg-3305	132	3	is	be	AUX
fuelectenerg-3305	132	4	called	call	VERB
fuelectenerg-3305	132	5	the	the	DET
fuelectenerg-3305	132	6	zero	zero	NUM
fuelectenerg-3305	132	7	order	order	NOUN
fuelectenerg-3305	132	8	coefficient	coefficient	NOUN
fuelectenerg-3305	132	9	,	,	PUNCT
fuelectenerg-3305	132	10	and	and	CCONJ
fuelectenerg-3305	132	11	the	the	DET
fuelectenerg-3305	132	12	coefficients	coefficient	NOUN
fuelectenerg-3305	132	13	with	with	ADP
fuelectenerg-3305	132	14	the	the	DET
fuelectenerg-3305	132	15	single	single	ADJ
fuelectenerg-3305	132	16	1	1	NUM
fuelectenerg-3305	132	17	in	in	ADP
fuelectenerg-3305	132	18	the	the	DET
fuelectenerg-3305	132	19	binary	binary	ADJ
fuelectenerg-3305	132	20	representation	representation	NOUN
fuelectenerg-3305	132	21	of	of	ADP
fuelectenerg-3305	132	22	the	the	DET
fuelectenerg-3305	132	23	indices	index	NOUN
fuelectenerg-3305	132	24	are	be	AUX
fuelectenerg-3305	132	25	the	the	DET
fuelectenerg-3305	132	26	coefficients	coefficient	NOUN
fuelectenerg-3305	132	27	of	of	ADP
fuelectenerg-3305	132	28	the	the	DET
fuelectenerg-3305	132	29	first	first	ADJ
fuelectenerg-3305	132	30	order	order	NOUN
fuelectenerg-3305	132	31	.	.	PUNCT
fuelectenerg-3305	133	1	walsh	walsh	PROPN
fuelectenerg-3305	133	2	spectral	spectral	ADJ
fuelectenerg-3305	133	3	coefficients	coefficient	NOUN
fuelectenerg-3305	133	4	are	be	AUX
fuelectenerg-3305	133	5	seen	see	VERB
fuelectenerg-3305	133	6	to	to	PART
fuelectenerg-3305	133	7	be	be	AUX
fuelectenerg-3305	133	8	a	a	DET
fuelectenerg-3305	133	9	form	form	NOUN
fuelectenerg-3305	133	10	of	of	ADP
fuelectenerg-3305	133	11	correlation	correlation	NOUN
fuelectenerg-3305	133	12	between	between	ADP
fuelectenerg-3305	133	13	function	function	NOUN
fuelectenerg-3305	133	14	inputs	input	NOUN
fuelectenerg-3305	133	15	and	and	CCONJ
fuelectenerg-3305	133	16	the	the	DET
fuelectenerg-3305	133	17	output	output	NOUN
fuelectenerg-3305	133	18	.	.	PUNCT
fuelectenerg-3305	134	1	2.2	2.2	NUM
fuelectenerg-3305	134	2	spectral	spectral	ADJ
fuelectenerg-3305	134	3	invariant	invariant	ADJ
fuelectenerg-3305	134	4	operations	operation	NOUN
fuelectenerg-3305	134	5	in	in	ADP
fuelectenerg-3305	134	6	walsh	walsh	PROPN
fuelectenerg-3305	134	7	classification	classification	NOUN
fuelectenerg-3305	134	8	,	,	PUNCT
fuelectenerg-3305	134	9	classification	classification	NOUN
fuelectenerg-3305	134	10	rules	rule	NOUN
fuelectenerg-3305	134	11	are	be	AUX
fuelectenerg-3305	134	12	derived	derive	VERB
fuelectenerg-3305	134	13	from	from	ADP
fuelectenerg-3305	134	14	the	the	DET
fuelectenerg-3305	134	15	so	so	ADV
fuelectenerg-3305	134	16	-	-	PUNCT
fuelectenerg-3305	134	17	called	call	VERB
fuelectenerg-3305	134	18	spectral	spectral	ADJ
fuelectenerg-3305	134	19	invariant	invariant	ADJ
fuelectenerg-3305	134	20	operations	operation	NOUN
fuelectenerg-3305	134	21	defined	define	VERB
fuelectenerg-3305	134	22	as	as	ADP
fuelectenerg-3305	134	23	operations	operation	NOUN
fuelectenerg-3305	134	24	that	that	PRON
fuelectenerg-3305	134	25	preserve	preserve	VERB
fuelectenerg-3305	134	26	the	the	DET
fuelectenerg-3305	134	27	absolute	absolute	ADJ
fuelectenerg-3305	134	28	values	value	NOUN
fuelectenerg-3305	134	29	of	of	ADP
fuelectenerg-3305	134	30	walsh	walsh	PROPN
fuelectenerg-3305	134	31	spectral	spectral	ADJ
fuelectenerg-3305	134	32	coefficients	coefficient	NOUN
fuelectenerg-3305	134	33	of	of	ADP
fuelectenerg-3305	134	34	boolean	boolean	ADJ
fuelectenerg-3305	134	35	functions	function	NOUN
fuelectenerg-3305	134	36	.	.	PUNCT
fuelectenerg-3305	135	1	in	in	ADP
fuelectenerg-3305	135	2	other	other	ADJ
fuelectenerg-3305	135	3	words	word	NOUN
fuelectenerg-3305	135	4	,	,	PUNCT
fuelectenerg-3305	135	5	spectral	spectral	ADJ
fuelectenerg-3305	135	6	invariant	invariant	ADJ
fuelectenerg-3305	135	7	operations	operation	NOUN
fuelectenerg-3305	135	8	perform	perform	VERB
fuelectenerg-3305	135	9	permutation	permutation	NOUN
fuelectenerg-3305	135	10	and	and	CCONJ
fuelectenerg-3305	135	11	change	change	VERB
fuelectenerg-3305	135	12	the	the	DET
fuelectenerg-3305	135	13	sign	sign	NOUN
fuelectenerg-3305	135	14	of	of	ADP
fuelectenerg-3305	135	15	walsh	walsh	PROPN
fuelectenerg-3305	135	16	coefficients	coefficient	NOUN
fuelectenerg-3305	135	17	.	.	PUNCT
fuelectenerg-3305	136	1	in	in	ADP
fuelectenerg-3305	136	2	order	order	NOUN
fuelectenerg-3305	136	3	to	to	PART
fuelectenerg-3305	136	4	ensure	ensure	VERB
fuelectenerg-3305	136	5	that	that	SCONJ
fuelectenerg-3305	136	6	walsh	walsh	PROPN
fuelectenerg-3305	136	7	spectra	spectra	NOUN
fuelectenerg-3305	136	8	with	with	ADP
fuelectenerg-3305	136	9	permuted	permuted	ADJ
fuelectenerg-3305	136	10	coefficients	coefficient	NOUN
fuelectenerg-3305	136	11	will	will	AUX
fuelectenerg-3305	136	12	remain	remain	VERB
fuelectenerg-3305	136	13	the	the	DET
fuelectenerg-3305	136	14	spectra	spectra	NOUN
fuelectenerg-3305	136	15	of	of	ADP
fuelectenerg-3305	136	16	boolean	boolean	ADJ
fuelectenerg-3305	136	17	and	and	CCONJ
fuelectenerg-3305	136	18	not	not	PART
fuelectenerg-3305	136	19	some	some	DET
fuelectenerg-3305	136	20	other	other	ADJ
fuelectenerg-3305	136	21	integer	integer	NOUN
fuelectenerg-3305	136	22	valued	value	VERB
fuelectenerg-3305	136	23	functions	function	NOUN
fuelectenerg-3305	136	24	,	,	PUNCT
fuelectenerg-3305	136	25	these	these	DET
fuelectenerg-3305	136	26	permutations	permutation	NOUN
fuelectenerg-3305	136	27	are	be	AUX
fuelectenerg-3305	136	28	not	not	PART
fuelectenerg-3305	136	29	arbitrary	arbitrary	ADJ
fuelectenerg-3305	136	30	.	.	PUNCT
fuelectenerg-3305	137	1	a	a	DET
fuelectenerg-3305	137	2	permutation	permutation	NOUN
fuelectenerg-3305	137	3	of	of	ADP
fuelectenerg-3305	137	4	some	some	DET
fuelectenerg-3305	137	5	walsh	walsh	NOUN
fuelectenerg-3305	137	6	coefficients	coefficient	NOUN
fuelectenerg-3305	137	7	requires	require	VERB
fuelectenerg-3305	137	8	a	a	DET
fuelectenerg-3305	137	9	simultaneous	simultaneous	ADJ
fuelectenerg-3305	137	10	permutation	permutation	NOUN
fuelectenerg-3305	137	11	of	of	ADP
fuelectenerg-3305	137	12	certain	certain	ADJ
fuelectenerg-3305	137	13	precisely	precisely	ADV
fuelectenerg-3305	137	14	specified	specified	ADJ
fuelectenerg-3305	137	15	subsets	subset	NOUN
fuelectenerg-3305	137	16	of	of	ADP
fuelectenerg-3305	137	17	walsh	walsh	PROPN
fuelectenerg-3305	137	18	coefficients	coefficient	NOUN
fuelectenerg-3305	137	19	(	(	PUNCT
fuelectenerg-3305	137	20	definition	definition	NOUN
fuelectenerg-3305	137	21	2	2	NUM
fuelectenerg-3305	137	22	)	)	PUNCT
fuelectenerg-3305	137	23	.	.	PUNCT
fuelectenerg-3305	138	1	definition	definition	NOUN
fuelectenerg-3305	138	2	2	2	NUM
fuelectenerg-3305	138	3	spectral	spectral	ADJ
fuelectenerg-3305	138	4	invariant	invariant	ADJ
fuelectenerg-3305	138	5	operations	operation	NOUN
fuelectenerg-3305	138	6	are	be	AUX
fuelectenerg-3305	138	7	defined	define	VERB
fuelectenerg-3305	138	8	as	as	ADP
fuelectenerg-3305	138	9	1	1	NUM
fuelectenerg-3305	138	10	.	.	PUNCT
fuelectenerg-3305	138	11	negation	negation	NOUN
fuelectenerg-3305	138	12	(	(	PUNCT
fuelectenerg-3305	138	13	complement	complement	NOUN
fuelectenerg-3305	138	14	)	)	PUNCT
fuelectenerg-3305	138	15	of	of	ADP
fuelectenerg-3305	138	16	the	the	DET
fuelectenerg-3305	138	17	f(x1	f(x1	NOUN
fuelectenerg-3305	138	18	,	,	PUNCT
fuelectenerg-3305	138	19	·	·	PUNCT
fuelectenerg-3305	138	20	·	·	PUNCT
fuelectenerg-3305	138	21	·	·	PUNCT
fuelectenerg-3305	138	22	,	,	PUNCT
fuelectenerg-3305	138	23	xn	xn	PROPN
fuelectenerg-3305	138	24	)	)	PUNCT
fuelectenerg-3305	138	25	.	.	PUNCT
fuelectenerg-3305	139	1	this	this	PRON
fuelectenerg-3305	139	2	results	result	VERB
fuelectenerg-3305	139	3	in	in	ADP
fuelectenerg-3305	139	4	the	the	DET
fuelectenerg-3305	139	5	change	change	NOUN
fuelectenerg-3305	139	6	of	of	ADP
fuelectenerg-3305	139	7	sign	sign	NOUN
fuelectenerg-3305	139	8	of	of	ADP
fuelectenerg-3305	139	9	all	all	DET
fuelectenerg-3305	139	10	spectral	spectral	ADJ
fuelectenerg-3305	139	11	coefficients	coefficient	NOUN
fuelectenerg-3305	139	12	without	without	ADP
fuelectenerg-3305	139	13	the	the	DET
fuelectenerg-3305	139	14	change	change	NOUN
fuelectenerg-3305	139	15	of	of	ADP
fuelectenerg-3305	139	16	their	their	PRON
fuelectenerg-3305	139	17	absolute	absolute	ADJ
fuelectenerg-3305	139	18	values	value	NOUN
fuelectenerg-3305	139	19	.	.	PUNCT
fuelectenerg-3305	140	1	2	2	X
fuelectenerg-3305	140	2	.	.	NUM
fuelectenerg-3305	140	3	negation	negation	NOUN
fuelectenerg-3305	140	4	(	(	PUNCT
fuelectenerg-3305	140	5	complement	complement	NOUN
fuelectenerg-3305	140	6	)	)	PUNCT
fuelectenerg-3305	140	7	of	of	ADP
fuelectenerg-3305	140	8	any	any	DET
fuelectenerg-3305	140	9	input	input	NOUN
fuelectenerg-3305	140	10	variable	variable	NOUN
fuelectenerg-3305	140	11	xi	xi	ADP
fuelectenerg-3305	140	12	,	,	PUNCT
fuelectenerg-3305	140	13	i	i	PRON
fuelectenerg-3305	140	14	∈	∈	PROPN
fuelectenerg-3305	140	15	(	(	PUNCT
fuelectenerg-3305	140	16	1	1	NUM
fuelectenerg-3305	140	17	,	,	PUNCT
fuelectenerg-3305	140	18	·	·	PUNCT
fuelectenerg-3305	140	19	·	·	PUNCT
fuelectenerg-3305	140	20	·	·	PUNCT
fuelectenerg-3305	140	21	,	,	PUNCT
fuelectenerg-3305	140	22	n	n	CCONJ
fuelectenerg-3305	140	23	)	)	PUNCT
fuelectenerg-3305	140	24	.	.	PUNCT
fuelectenerg-3305	141	1	this	this	DET
fuelectenerg-3305	141	2	results	result	VERB
fuelectenerg-3305	141	3	in	in	ADP
fuelectenerg-3305	141	4	the	the	DET
fuelectenerg-3305	141	5	change	change	NOUN
fuelectenerg-3305	141	6	of	of	ADP
fuelectenerg-3305	141	7	the	the	DET
fuelectenerg-3305	141	8	sign	sign	NOUN
fuelectenerg-3305	141	9	of	of	ADP
fuelectenerg-3305	141	10	all	all	DET
fuelectenerg-3305	141	11	coefficients	coefficient	NOUN
fuelectenerg-3305	141	12	with	with	ADP
fuelectenerg-3305	141	13	bi	bi	NOUN
fuelectenerg-3305	141	14	=	=	NOUN
fuelectenerg-3305	141	15	1	1	NUM
fuelectenerg-3305	141	16	in	in	ADP
fuelectenerg-3305	141	17	the	the	DET
fuelectenerg-3305	141	18	subscripts	subscript	NOUN
fuelectenerg-3305	141	19	.	.	PUNCT
fuelectenerg-3305	142	1	sb0	sb0	NOUN
fuelectenerg-3305	142	2	,	,	PUNCT
fuelectenerg-3305	142	3	·	·	PUNCT
fuelectenerg-3305	142	4	·	·	PUNCT
fuelectenerg-3305	142	5	·	·	PUNCT
fuelectenerg-3305	142	6	,	,	PUNCT
fuelectenerg-3305	142	7	bi=1	bi=1	PROPN
fuelectenerg-3305	142	8	,	,	PUNCT
fuelectenerg-3305	142	9	·	·	PUNCT
fuelectenerg-3305	142	10	·	·	PUNCT
fuelectenerg-3305	142	11	·	·	PUNCT
fuelectenerg-3305	142	12	,	,	PUNCT
fuelectenerg-3305	142	13	bn	bn	X
fuelectenerg-3305	142	14	=	=	SYM
fuelectenerg-3305	142	15	−sb0	−sb0	PROPN
fuelectenerg-3305	142	16	,	,	PUNCT
fuelectenerg-3305	142	17	·	·	PUNCT
fuelectenerg-3305	142	18	·	·	PUNCT
fuelectenerg-3305	142	19	·	·	PUNCT
fuelectenerg-3305	142	20	,	,	PUNCT
fuelectenerg-3305	142	21	bi=1	bi=1	PROPN
fuelectenerg-3305	142	22	,	,	PUNCT
fuelectenerg-3305	142	23	·	·	PUNCT
fuelectenerg-3305	142	24	·	·	PUNCT
fuelectenerg-3305	142	25	·	·	PUNCT
fuelectenerg-3305	142	26	,	,	PUNCT
fuelectenerg-3305	142	27	bn	bn	INTJ
fuelectenerg-3305	142	28	.	.	PUNCT
fuelectenerg-3305	143	1	3	3	X
fuelectenerg-3305	143	2	.	.	X
fuelectenerg-3305	143	3	interchange	interchange	NOUN
fuelectenerg-3305	143	4	of	of	ADP
fuelectenerg-3305	143	5	any	any	DET
fuelectenerg-3305	143	6	input	input	NOUN
fuelectenerg-3305	143	7	variable	variable	NOUN
fuelectenerg-3305	143	8	xi	xi	X
fuelectenerg-3305	143	9	with	with	ADP
fuelectenerg-3305	143	10	xj	xj	PROPN
fuelectenerg-3305	143	11	,	,	PUNCT
fuelectenerg-3305	143	12	i	i	PROPN
fuelectenerg-3305	143	13	�	�	PROPN
fuelectenerg-3305	143	14	=	=	SYM
fuelectenerg-3305	143	15	j.	j.	PROPN
fuelectenerg-3305	143	16	in	in	ADP
fuelectenerg-3305	143	17	the	the	DET
fuelectenerg-3305	143	18	spectral	spectral	ADJ
fuelectenerg-3305	143	19	domain	domain	NOUN
fuelectenerg-3305	143	20	this	this	PRON
fuelectenerg-3305	143	21	corresponds	correspond	VERB
fuelectenerg-3305	143	22	to	to	ADP
fuelectenerg-3305	143	23	the	the	DET
fuelectenerg-3305	143	24	permutation	permutation	NOUN
fuelectenerg-3305	143	25	of	of	ADP
fuelectenerg-3305	143	26	the	the	DET
fuelectenerg-3305	143	27	binary	binary	ADJ
fuelectenerg-3305	143	28	values	value	NOUN
fuelectenerg-3305	143	29	at	at	ADP
fuelectenerg-3305	143	30	the	the	DET
fuelectenerg-3305	143	31	positions	position	NOUN
fuelectenerg-3305	143	32	i	i	PRON
fuelectenerg-3305	143	33	and	and	CCONJ
fuelectenerg-3305	143	34	j	j	PROPN
fuelectenerg-3305	143	35	in	in	ADP
fuelectenerg-3305	143	36	the	the	DET
fuelectenerg-3305	143	37	subscripts	subscript	NOUN
fuelectenerg-3305	143	38	:	:	PUNCT
fuelectenerg-3305	143	39	sb0	sb0	NOUN
fuelectenerg-3305	143	40	,	,	PUNCT
fuelectenerg-3305	143	41	·	·	PUNCT
fuelectenerg-3305	143	42	·	·	PUNCT
fuelectenerg-3305	143	43	·	·	PUNCT
fuelectenerg-3305	143	44	,	,	PUNCT
fuelectenerg-3305	143	45	bi	bi	PROPN
fuelectenerg-3305	143	46	,	,	PUNCT
fuelectenerg-3305	143	47	·	·	PUNCT
fuelectenerg-3305	143	48	·	·	PUNCT
fuelectenerg-3305	143	49	·	·	PUNCT
fuelectenerg-3305	143	50	,	,	PUNCT
fuelectenerg-3305	143	51	bj	bj	ADP
fuelectenerg-3305	143	52	·	·	PUNCT
fuelectenerg-3305	143	53	·	·	PUNCT
fuelectenerg-3305	143	54	·	·	PUNCT
fuelectenerg-3305	143	55	,	,	PUNCT
fuelectenerg-3305	144	1	bn	bn	NUM
fuelectenerg-3305	144	2	↔	↔	PROPN
fuelectenerg-3305	144	3	sb0	sb0	NOUN
fuelectenerg-3305	144	4	,	,	PUNCT
fuelectenerg-3305	144	5	·	·	PUNCT
fuelectenerg-3305	144	6	·	·	PUNCT
fuelectenerg-3305	144	7	·	·	PUNCT
fuelectenerg-3305	144	8	,	,	PUNCT
fuelectenerg-3305	144	9	bj	bj	INTJ
fuelectenerg-3305	144	10	,	,	PUNCT
fuelectenerg-3305	144	11	·	·	PUNCT
fuelectenerg-3305	144	12	·	·	PUNCT
fuelectenerg-3305	144	13	·	·	PUNCT
fuelectenerg-3305	144	14	,	,	PUNCT
fuelectenerg-3305	144	15	bi	bi	PROPN
fuelectenerg-3305	144	16	·	·	PROPN
fuelectenerg-3305	144	17	·	·	PUNCT
fuelectenerg-3305	144	18	·	·	PUNCT
fuelectenerg-3305	144	19	,	,	PUNCT
fuelectenerg-3305	144	20	bn	bn	INTJ
fuelectenerg-3305	144	21	,	,	PUNCT
fuelectenerg-3305	144	22	4	4	X
fuelectenerg-3305	144	23	.	.	X
fuelectenerg-3305	144	24	replacement	replacement	NOUN
fuelectenerg-3305	144	25	of	of	ADP
fuelectenerg-3305	144	26	any	any	DET
fuelectenerg-3305	144	27	input	input	NOUN
fuelectenerg-3305	144	28	variable	variable	NOUN
fuelectenerg-3305	144	29	xi	xi	NOUN
fuelectenerg-3305	144	30	,	,	PUNCT
fuelectenerg-3305	144	31	by	by	ADP
fuelectenerg-3305	144	32	the	the	DET
fuelectenerg-3305	144	33	exclusive	exclusive	ADJ
fuelectenerg-3305	144	34	-	-	PUNCT
fuelectenerg-3305	144	35	or	or	CCONJ
fuelectenerg-3305	144	36	sum	sum	NOUN
fuelectenerg-3305	144	37	xi	xi	PROPN
fuelectenerg-3305	144	38	⊕	⊕	PROPN
fuelectenerg-3305	144	39	xj	xj	PROPN
fuelectenerg-3305	144	40	,	,	PUNCT
fuelectenerg-3305	144	41	i	i	PRON
fuelectenerg-3305	144	42	�	�	PROPN
fuelectenerg-3305	144	43	=	=	SYM
fuelectenerg-3305	144	44	j.	j.	PROPN
fuelectenerg-3305	145	1	this	this	DET
fuelectenerg-3305	145	2	operation	operation	NOUN
fuelectenerg-3305	145	3	results	result	VERB
fuelectenerg-3305	145	4	in	in	ADP
fuelectenerg-3305	145	5	the	the	DET
fuelectenerg-3305	145	6	interchange	interchange	NOUN
fuelectenerg-3305	145	7	of	of	ADP
fuelectenerg-3305	145	8	all	all	DET
fuelectenerg-3305	145	9	coefficient	coefficient	NOUN
fuelectenerg-3305	145	10	values	value	NOUN
fuelectenerg-3305	145	11	with	with	ADP
fuelectenerg-3305	145	12	bi	bi	NOUN
fuelectenerg-3305	145	13	=	=	PROPN
fuelectenerg-3305	145	14	1	1	NUM
fuelectenerg-3305	145	15	,	,	PUNCT
fuelectenerg-3305	145	16	bj	bj	VERB
fuelectenerg-3305	145	17	in	in	ADP
fuelectenerg-3305	145	18	the	the	DET
fuelectenerg-3305	145	19	subscripts	subscript	NOUN
fuelectenerg-3305	145	20	with	with	ADP
fuelectenerg-3305	145	21	the	the	DET
fuelectenerg-3305	145	22	coefficients	coefficient	NOUN
fuelectenerg-3305	145	23	having	have	VERB
fuelectenerg-3305	145	24	bi	bi	NOUN
fuelectenerg-3305	145	25	=	=	NOUN
fuelectenerg-3305	145	26	1	1	NUM
fuelectenerg-3305	145	27	,	,	PUNCT
fuelectenerg-3305	145	28	b̄j	b̄j	NOUN
fuelectenerg-3305	145	29	,	,	PUNCT
fuelectenerg-3305	145	30	while	while	SCONJ
fuelectenerg-3305	145	31	all	all	DET
fuelectenerg-3305	145	32	the	the	DET
fuelectenerg-3305	145	33	coefficients	coefficient	NOUN
fuelectenerg-3305	145	34	with	with	ADP
fuelectenerg-3305	145	35	bi	bi	NOUN
fuelectenerg-3305	145	36	=	=	NOUN
fuelectenerg-3305	145	37	0	0	NUM
fuelectenerg-3305	145	38	in	in	ADP
fuelectenerg-3305	145	39	the	the	DET
fuelectenerg-3305	145	40	subscripts	subscript	NOUN
fuelectenerg-3305	145	41	remain	remain	VERB
fuelectenerg-3305	145	42	unchanged	unchanged	ADJ
fuelectenerg-3305	145	43	:	:	PUNCT
fuelectenerg-3305	145	44	sb0	sb0	NOUN
fuelectenerg-3305	145	45	,	,	PUNCT
fuelectenerg-3305	145	46	·	·	PUNCT
fuelectenerg-3305	145	47	·	·	PUNCT
fuelectenerg-3305	145	48	·	·	PUNCT
fuelectenerg-3305	145	49	,	,	PUNCT
fuelectenerg-3305	145	50	bi=1	bi=1	PROPN
fuelectenerg-3305	145	51	,	,	PUNCT
fuelectenerg-3305	145	52	·	·	PUNCT
fuelectenerg-3305	145	53	·	·	PUNCT
fuelectenerg-3305	145	54	·	·	PUNCT
fuelectenerg-3305	145	55	,	,	PUNCT
fuelectenerg-3305	145	56	bj	bj	INTJ
fuelectenerg-3305	145	57	,	,	PUNCT
fuelectenerg-3305	145	58	·	·	PUNCT
fuelectenerg-3305	145	59	·	·	PUNCT
fuelectenerg-3305	145	60	·	·	PUNCT
fuelectenerg-3305	145	61	,	,	PUNCT
fuelectenerg-3305	145	62	bn	bn	NUM
fuelectenerg-3305	145	63	↔	↔	PROPN
fuelectenerg-3305	145	64	sb0	sb0	NOUN
fuelectenerg-3305	145	65	,	,	PUNCT
fuelectenerg-3305	145	66	·	·	PUNCT
fuelectenerg-3305	145	67	·	·	PUNCT
fuelectenerg-3305	145	68	·	·	PUNCT
fuelectenerg-3305	145	69	,	,	PUNCT
fuelectenerg-3305	145	70	bi=1	bi=1	PROPN
fuelectenerg-3305	145	71	,	,	PUNCT
fuelectenerg-3305	145	72	·	·	PUNCT
fuelectenerg-3305	145	73	·	·	PUNCT
fuelectenerg-3305	145	74	·	·	PUNCT
fuelectenerg-3305	145	75	,	,	PUNCT
fuelectenerg-3305	145	76	b̄j	b̄j	NOUN
fuelectenerg-3305	145	77	,	,	PUNCT
fuelectenerg-3305	145	78	·	·	PUNCT
fuelectenerg-3305	145	79	·	·	PUNCT
fuelectenerg-3305	145	80	·	·	PUNCT
fuelectenerg-3305	145	81	,	,	PUNCT
fuelectenerg-3305	145	82	bn	bn	X
fuelectenerg-3305	145	83	.	.	PUNCT
fuelectenerg-3305	146	1	an	an	DET
fuelectenerg-3305	146	2	improved	improve	VERB
fuelectenerg-3305	146	3	spectral	spectral	ADJ
fuelectenerg-3305	146	4	classification	classification	NOUN
fuelectenerg-3305	146	5	of	of	ADP
fuelectenerg-3305	146	6	boolean	boolean	ADJ
fuelectenerg-3305	146	7	functions	function	NOUN
fuelectenerg-3305	146	8	...	...	PUNCT
fuelectenerg-3305	146	9	5	5	NUM
fuelectenerg-3305	146	10	5	5	NUM
fuelectenerg-3305	146	11	.	.	PUNCT
fuelectenerg-3305	146	12	modifucation	modifucation	NOUN
fuelectenerg-3305	146	13	of	of	ADP
fuelectenerg-3305	146	14	the	the	DET
fuelectenerg-3305	146	15	function	function	NOUN
fuelectenerg-3305	146	16	f(x1	f(x1	NOUN
fuelectenerg-3305	146	17	,	,	PUNCT
fuelectenerg-3305	146	18	·	·	PUNCT
fuelectenerg-3305	146	19	·	·	PUNCT
fuelectenerg-3305	146	20	·	·	PUNCT
fuelectenerg-3305	146	21	,	,	PUNCT
fuelectenerg-3305	146	22	xn	xn	X
fuelectenerg-3305	146	23	)	)	PUNCT
fuelectenerg-3305	146	24	into	into	ADP
fuelectenerg-3305	146	25	function	function	NOUN
fuelectenerg-3305	146	26	f∗(x1	f∗(x1	PROPN
fuelectenerg-3305	146	27	,	,	PUNCT
fuelectenerg-3305	146	28	·	·	PUNCT
fuelectenerg-3305	146	29	·	·	PUNCT
fuelectenerg-3305	146	30	·	·	PUNCT
fuelectenerg-3305	146	31	,	,	PUNCT
fuelectenerg-3305	146	32	xn	xn	X
fuelectenerg-3305	146	33	)	)	PUNCT
fuelectenerg-3305	146	34	=	=	SYM
fuelectenerg-3305	146	35	f(x1	f(x1	X
fuelectenerg-3305	146	36	,	,	PUNCT
fuelectenerg-3305	146	37	·	·	PUNCT
fuelectenerg-3305	146	38	·	·	PUNCT
fuelectenerg-3305	146	39	·	·	PUNCT
fuelectenerg-3305	146	40	,	,	PUNCT
fuelectenerg-3305	146	41	xn)⊕	xn)⊕	NOUN
fuelectenerg-3305	146	42	xi	xi	PROPN
fuelectenerg-3305	146	43	,	,	PUNCT
fuelectenerg-3305	146	44	where	where	SCONJ
fuelectenerg-3305	146	45	xi	xi	PROPN
fuelectenerg-3305	146	46	∈	∈	PROPN
fuelectenerg-3305	146	47	{	{	PUNCT
fuelectenerg-3305	146	48	x1	x1	PROPN
fuelectenerg-3305	146	49	,	,	PUNCT
fuelectenerg-3305	146	50	·	·	PUNCT
fuelectenerg-3305	146	51	·	·	PUNCT
fuelectenerg-3305	146	52	·	·	PUNCT
fuelectenerg-3305	146	53	,	,	PUNCT
fuelectenerg-3305	146	54	xn	xn	X
fuelectenerg-3305	146	55	}	}	PUNCT
fuelectenerg-3305	146	56	results	result	NOUN
fuelectenerg-3305	146	57	in	in	ADP
fuelectenerg-3305	146	58	the	the	DET
fuelectenerg-3305	146	59	interchange	interchange	NOUN
fuelectenerg-3305	146	60	of	of	ADP
fuelectenerg-3305	146	61	all	all	DET
fuelectenerg-3305	146	62	coefficient	coefficient	NOUN
fuelectenerg-3305	146	63	having	have	VERB
fuelectenerg-3305	146	64	bi	bi	NOUN
fuelectenerg-3305	146	65	=	=	NOUN
fuelectenerg-3305	146	66	1	1	NUM
fuelectenerg-3305	146	67	in	in	ADP
fuelectenerg-3305	146	68	the	the	DET
fuelectenerg-3305	146	69	subscripts	subscript	NOUN
fuelectenerg-3305	146	70	with	with	ADP
fuelectenerg-3305	146	71	the	the	DET
fuelectenerg-3305	146	72	coefficients	coefficient	NOUN
fuelectenerg-3305	146	73	having	have	VERB
fuelectenerg-3305	146	74	bi	bi	NOUN
fuelectenerg-3305	146	75	=	=	PROPN
fuelectenerg-3305	146	76	0	0	PROPN
fuelectenerg-3305	146	77	,	,	PUNCT
fuelectenerg-3305	146	78	[	[	X
fuelectenerg-3305	146	79	12	12	NUM
fuelectenerg-3305	146	80	]	]	X
fuelectenerg-3305	146	81	:	:	PUNCT
fuelectenerg-3305	146	82	sb0	sb0	NOUN
fuelectenerg-3305	146	83	,	,	PUNCT
fuelectenerg-3305	146	84	·	·	PUNCT
fuelectenerg-3305	146	85	·	·	PUNCT
fuelectenerg-3305	146	86	·	·	PUNCT
fuelectenerg-3305	146	87	,	,	PUNCT
fuelectenerg-3305	146	88	bi=1	bi=1	PROPN
fuelectenerg-3305	146	89	,	,	PUNCT
fuelectenerg-3305	146	90	·	·	PUNCT
fuelectenerg-3305	146	91	·	·	PUNCT
fuelectenerg-3305	146	92	·	·	PUNCT
fuelectenerg-3305	146	93	,	,	PUNCT
fuelectenerg-3305	146	94	bn	bn	NUM
fuelectenerg-3305	146	95	↔	↔	PROPN
fuelectenerg-3305	146	96	sb0	sb0	NOUN
fuelectenerg-3305	146	97	,	,	PUNCT
fuelectenerg-3305	146	98	·	·	PUNCT
fuelectenerg-3305	146	99	·	·	PUNCT
fuelectenerg-3305	146	100	·	·	PUNCT
fuelectenerg-3305	146	101	,	,	PUNCT
fuelectenerg-3305	146	102	bi=0	bi=0	NUM
fuelectenerg-3305	146	103	,	,	PUNCT
fuelectenerg-3305	146	104	·	·	PUNCT
fuelectenerg-3305	146	105	·	·	PUNCT
fuelectenerg-3305	146	106	·	·	PUNCT
fuelectenerg-3305	146	107	,	,	PUNCT
fuelectenerg-3305	146	108	bn	bn	INTJ
fuelectenerg-3305	146	109	.	.	PUNCT
fuelectenerg-3305	147	1	it	it	PRON
fuelectenerg-3305	147	2	is	be	AUX
fuelectenerg-3305	147	3	important	important	ADJ
fuelectenerg-3305	147	4	to	to	PART
fuelectenerg-3305	147	5	note	note	VERB
fuelectenerg-3305	147	6	that	that	SCONJ
fuelectenerg-3305	147	7	referring	refer	VERB
fuelectenerg-3305	147	8	to	to	ADP
fuelectenerg-3305	147	9	the	the	DET
fuelectenerg-3305	147	10	reed	reed	NOUN
fuelectenerg-3305	147	11	-	-	PUNCT
fuelectenerg-3305	147	12	muller	muller	NOUN
fuelectenerg-3305	147	13	polynomial	polynomial	ADJ
fuelectenerg-3305	147	14	expressions	expression	NOUN
fuelectenerg-3305	147	15	for	for	ADP
fuelectenerg-3305	147	16	boolean	boolean	ADJ
fuelectenerg-3305	147	17	functions	function	NOUN
fuelectenerg-3305	147	18	,	,	PUNCT
fuelectenerg-3305	147	19	the	the	DET
fuelectenerg-3305	147	20	above	above	ADV
fuelectenerg-3305	147	21	defined	define	VERB
fuelectenerg-3305	147	22	spectral	spectral	ADJ
fuelectenerg-3305	147	23	invariant	invariant	ADJ
fuelectenerg-3305	147	24	operations	operation	NOUN
fuelectenerg-3305	147	25	do	do	AUX
fuelectenerg-3305	147	26	not	not	PART
fuelectenerg-3305	147	27	increase	increase	VERB
fuelectenerg-3305	147	28	the	the	DET
fuelectenerg-3305	147	29	number	number	NOUN
fuelectenerg-3305	147	30	of	of	ADP
fuelectenerg-3305	147	31	variables	variable	NOUN
fuelectenerg-3305	147	32	in	in	ADP
fuelectenerg-3305	147	33	the	the	DET
fuelectenerg-3305	147	34	product	product	NOUN
fuelectenerg-3305	147	35	terms	term	NOUN
fuelectenerg-3305	147	36	.	.	PUNCT
fuelectenerg-3305	148	1	2.3	2.3	NUM
fuelectenerg-3305	148	2	walsh	walsh	NOUN
fuelectenerg-3305	148	3	classification	classification	NOUN
fuelectenerg-3305	148	4	of	of	ADP
fuelectenerg-3305	148	5	boolean	boolean	ADJ
fuelectenerg-3305	148	6	functions	function	NOUN
fuelectenerg-3305	148	7	by	by	ADP
fuelectenerg-3305	148	8	using	use	VERB
fuelectenerg-3305	148	9	spectral	spectral	ADJ
fuelectenerg-3305	148	10	invariant	invariant	ADJ
fuelectenerg-3305	148	11	operations	operation	NOUN
fuelectenerg-3305	148	12	,	,	PUNCT
fuelectenerg-3305	148	13	hurst	hurst	PROPN
fuelectenerg-3305	148	14	in	in	ADP
fuelectenerg-3305	148	15	[	[	X
fuelectenerg-3305	148	16	12	12	NUM
fuelectenerg-3305	148	17	]	]	PUNCT
fuelectenerg-3305	148	18	and	and	CCONJ
fuelectenerg-3305	148	19	lechner	lechner	VERB
fuelectenerg-3305	148	20	in	in	ADP
fuelectenerg-3305	148	21	[	[	X
fuelectenerg-3305	148	22	13	13	NUM
fuelectenerg-3305	148	23	]	]	PUNCT
fuelectenerg-3305	148	24	proposed	propose	VERB
fuelectenerg-3305	148	25	a	a	DET
fuelectenerg-3305	148	26	procedure	procedure	NOUN
fuelectenerg-3305	148	27	for	for	ADP
fuelectenerg-3305	148	28	reordering	reordering	NOUN
fuelectenerg-3305	148	29	of	of	ADP
fuelectenerg-3305	148	30	spectral	spectral	ADJ
fuelectenerg-3305	148	31	coefficients	coefficient	NOUN
fuelectenerg-3305	148	32	into	into	ADP
fuelectenerg-3305	148	33	the	the	DET
fuelectenerg-3305	148	34	positive	positive	ADJ
fuelectenerg-3305	148	35	canonic	canonic	ADJ
fuelectenerg-3305	148	36	order	order	NOUN
fuelectenerg-3305	148	37	which	which	PRON
fuelectenerg-3305	148	38	represents	represent	VERB
fuelectenerg-3305	148	39	the	the	DET
fuelectenerg-3305	148	40	classification	classification	NOUN
fuelectenerg-3305	148	41	entry	entry	NOUN
fuelectenerg-3305	148	42	of	of	ADP
fuelectenerg-3305	148	43	the	the	DET
fuelectenerg-3305	148	44	given	give	VERB
fuelectenerg-3305	148	45	boolean	boolean	ADJ
fuelectenerg-3305	148	46	function	function	NOUN
fuelectenerg-3305	148	47	f(x1	f(x1	NOUN
fuelectenerg-3305	148	48	,	,	PUNCT
fuelectenerg-3305	148	49	·	·	PUNCT
fuelectenerg-3305	148	50	·	·	PUNCT
fuelectenerg-3305	148	51	·	·	PUNCT
fuelectenerg-3305	148	52	,	,	PUNCT
fuelectenerg-3305	148	53	xn	xn	PROPN
fuelectenerg-3305	148	54	)	)	PUNCT
fuelectenerg-3305	148	55	.	.	PUNCT
fuelectenerg-3305	149	1	positive	positive	ADJ
fuelectenerg-3305	149	2	canonic	canonic	ADJ
fuelectenerg-3305	149	3	order	order	NOUN
fuelectenerg-3305	149	4	is	be	AUX
fuelectenerg-3305	149	5	used	use	VERB
fuelectenerg-3305	149	6	for	for	ADP
fuelectenerg-3305	149	7	s00···0	s00···0	PUNCT
fuelectenerg-3305	149	8	and	and	CCONJ
fuelectenerg-3305	149	9	the	the	DET
fuelectenerg-3305	149	10	first	first	ADJ
fuelectenerg-3305	149	11	order	order	NOUN
fuelectenerg-3305	149	12	coefficients	coefficient	NOUN
fuelectenerg-3305	149	13	,	,	PUNCT
fuelectenerg-3305	149	14	while	while	SCONJ
fuelectenerg-3305	149	15	other	other	ADJ
fuelectenerg-3305	149	16	coefficients	coefficient	NOUN
fuelectenerg-3305	149	17	may	may	AUX
fuelectenerg-3305	149	18	take	take	VERB
fuelectenerg-3305	149	19	negative	negative	ADJ
fuelectenerg-3305	149	20	values	value	NOUN
fuelectenerg-3305	149	21	.	.	PUNCT
fuelectenerg-3305	150	1	in	in	ADP
fuelectenerg-3305	150	2	[	[	X
fuelectenerg-3305	150	3	12	12	NUM
fuelectenerg-3305	150	4	]	]	PUNCT
fuelectenerg-3305	150	5	,	,	PUNCT
fuelectenerg-3305	150	6	it	it	PRON
fuelectenerg-3305	150	7	is	be	AUX
fuelectenerg-3305	150	8	shown	show	VERB
fuelectenerg-3305	150	9	a	a	DET
fuelectenerg-3305	150	10	classification	classification	NOUN
fuelectenerg-3305	150	11	of	of	ADP
fuelectenerg-3305	150	12	all	all	DET
fuelectenerg-3305	150	13	boolean	boolean	ADJ
fuelectenerg-3305	150	14	functions	function	NOUN
fuelectenerg-3305	150	15	with	with	ADP
fuelectenerg-3305	150	16	n	n	DET
fuelectenerg-3305	150	17	≤	≤	NUM
fuelectenerg-3305	150	18	5	5	NUM
fuelectenerg-3305	150	19	variables	variable	NOUN
fuelectenerg-3305	150	20	as	as	ADP
fuelectenerg-3305	150	21	a	a	DET
fuelectenerg-3305	150	22	table	table	NOUN
fuelectenerg-3305	150	23	with	with	ADP
fuelectenerg-3305	150	24	48	48	NUM
fuelectenerg-3305	150	25	canonic	canonic	ADJ
fuelectenerg-3305	150	26	vectors	vector	NOUN
fuelectenerg-3305	150	27	.	.	PUNCT
fuelectenerg-3305	151	1	in	in	ADP
fuelectenerg-3305	151	2	this	this	DET
fuelectenerg-3305	151	3	table	table	NOUN
fuelectenerg-3305	151	4	,	,	PUNCT
fuelectenerg-3305	151	5	not	not	PART
fuelectenerg-3305	151	6	all	all	PRON
fuelectenerg-3305	151	7	of	of	ADP
fuelectenerg-3305	151	8	the	the	DET
fuelectenerg-3305	151	9	32	32	NUM
fuelectenerg-3305	151	10	coefficient	coefficient	NOUN
fuelectenerg-3305	151	11	values	value	NOUN
fuelectenerg-3305	151	12	for	for	ADP
fuelectenerg-3305	151	13	each	each	DET
fuelectenerg-3305	151	14	classified	classified	ADJ
fuelectenerg-3305	151	15	entry	entry	NOUN
fuelectenerg-3305	151	16	are	be	AUX
fuelectenerg-3305	151	17	shown	show	VERB
fuelectenerg-3305	151	18	.	.	PUNCT
fuelectenerg-3305	152	1	instead	instead	ADV
fuelectenerg-3305	152	2	,	,	PUNCT
fuelectenerg-3305	152	3	the	the	DET
fuelectenerg-3305	152	4	values	value	NOUN
fuelectenerg-3305	152	5	of	of	ADP
fuelectenerg-3305	152	6	first	first	ADJ
fuelectenerg-3305	152	7	order	order	NOUN
fuelectenerg-3305	152	8	coefficients	coefficient	NOUN
fuelectenerg-3305	152	9	are	be	AUX
fuelectenerg-3305	152	10	shown	show	VERB
fuelectenerg-3305	152	11	together	together	ADV
fuelectenerg-3305	152	12	with	with	ADP
fuelectenerg-3305	152	13	the	the	DET
fuelectenerg-3305	152	14	number	number	NOUN
fuelectenerg-3305	152	15	of	of	ADP
fuelectenerg-3305	152	16	coefficients	coefficient	NOUN
fuelectenerg-3305	152	17	having	have	VERB
fuelectenerg-3305	152	18	the	the	DET
fuelectenerg-3305	152	19	same	same	ADJ
fuelectenerg-3305	152	20	value	value	NOUN
fuelectenerg-3305	152	21	in	in	ADP
fuelectenerg-3305	152	22	each	each	DET
fuelectenerg-3305	152	23	entry	entry	NOUN
fuelectenerg-3305	152	24	.	.	PUNCT
fuelectenerg-3305	153	1	for	for	ADP
fuelectenerg-3305	153	2	example	example	NOUN
fuelectenerg-3305	153	3	(	(	PUNCT
fuelectenerg-3305	153	4	6	6	NUM
fuelectenerg-3305	153	5	×	×	NOUN
fuelectenerg-3305	153	6	10	10	NUM
fuelectenerg-3305	153	7	;	;	PUNCT
fuelectenerg-3305	153	8	10	10	NUM
fuelectenerg-3305	153	9	×	×	NOUN
fuelectenerg-3305	153	10	6	6	NUM
fuelectenerg-3305	153	11	;	;	PUNCT
fuelectenerg-3305	153	12	16	16	NUM
fuelectenerg-3305	153	13	×	×	NOUN
fuelectenerg-3305	153	14	2	2	NUM
fuelectenerg-3305	153	15	)	)	PUNCT
fuelectenerg-3305	153	16	indicates	indicate	VERB
fuelectenerg-3305	153	17	that	that	SCONJ
fuelectenerg-3305	153	18	the	the	DET
fuelectenerg-3305	153	19	6	6	NUM
fuelectenerg-3305	153	20	-	-	PUNCT
fuelectenerg-3305	153	21	th	th	VERB
fuelectenerg-3305	153	22	,	,	PUNCT
fuelectenerg-3305	153	23	10	10	NUM
fuelectenerg-3305	153	24	-	-	PUNCT
fuelectenerg-3305	153	25	th	th	NOUN
fuelectenerg-3305	153	26	,	,	PUNCT
fuelectenerg-3305	153	27	and	and	CCONJ
fuelectenerg-3305	153	28	16	16	NUM
fuelectenerg-3305	153	29	-	-	PUNCT
fuelectenerg-3305	153	30	th	th	NUM
fuelectenerg-3305	153	31	coefficients	coefficient	NOUN
fuelectenerg-3305	153	32	have	have	VERB
fuelectenerg-3305	153	33	values	value	NOUN
fuelectenerg-3305	153	34	10	10	NUM
fuelectenerg-3305	153	35	,	,	PUNCT
fuelectenerg-3305	153	36	6	6	NUM
fuelectenerg-3305	153	37	,	,	PUNCT
fuelectenerg-3305	153	38	and	and	CCONJ
fuelectenerg-3305	153	39	2	2	NUM
fuelectenerg-3305	153	40	,	,	PUNCT
fuelectenerg-3305	153	41	respectively	respectively	ADV
fuelectenerg-3305	153	42	,	,	PUNCT
fuelectenerg-3305	153	43	in	in	ADP
fuelectenerg-3305	153	44	the	the	DET
fuelectenerg-3305	153	45	entire	entire	ADJ
fuelectenerg-3305	153	46	spectrum	spectrum	NOUN
fuelectenerg-3305	153	47	of	of	ADP
fuelectenerg-3305	153	48	32	32	NUM
fuelectenerg-3305	153	49	coefficients	coefficient	NOUN
fuelectenerg-3305	153	50	.	.	PUNCT
fuelectenerg-3305	154	1	in	in	ADP
fuelectenerg-3305	154	2	table	table	NOUN
fuelectenerg-3305	154	3	1	1	NUM
fuelectenerg-3305	154	4	,	,	PUNCT
fuelectenerg-3305	154	5	we	we	PRON
fuelectenerg-3305	154	6	show	show	VERB
fuelectenerg-3305	154	7	a	a	DET
fuelectenerg-3305	154	8	part	part	NOUN
fuelectenerg-3305	154	9	of	of	ADP
fuelectenerg-3305	154	10	this	this	DET
fuelectenerg-3305	154	11	table	table	NOUN
fuelectenerg-3305	154	12	from	from	ADP
fuelectenerg-3305	154	13	[	[	X
fuelectenerg-3305	154	14	12	12	NUM
fuelectenerg-3305	154	15	]	]	PUNCT
fuelectenerg-3305	154	16	,	,	PUNCT
fuelectenerg-3305	154	17	starting	start	VERB
fuelectenerg-3305	154	18	from	from	ADP
fuelectenerg-3305	154	19	the	the	DET
fuelectenerg-3305	154	20	class	class	NOUN
fuelectenerg-3305	154	21	no	no	NOUN
fuelectenerg-3305	154	22	.	.	PROPN
fuelectenerg-3305	154	23	30	30	NUM
fuelectenerg-3305	154	24	.	.	PUNCT
fuelectenerg-3305	155	1	we	we	PRON
fuelectenerg-3305	155	2	consider	consider	VERB
fuelectenerg-3305	155	3	this	this	DET
fuelectenerg-3305	155	4	part	part	NOUN
fuelectenerg-3305	155	5	of	of	ADP
fuelectenerg-3305	155	6	the	the	DET
fuelectenerg-3305	155	7	classification	classification	NOUN
fuelectenerg-3305	155	8	table	table	NOUN
fuelectenerg-3305	155	9	,	,	PUNCT
fuelectenerg-3305	155	10	since	since	SCONJ
fuelectenerg-3305	155	11	there	there	PRON
fuelectenerg-3305	155	12	are	be	VERB
fuelectenerg-3305	155	13	some	some	DET
fuelectenerg-3305	155	14	inconsistencies	inconsistency	NOUN
fuelectenerg-3305	155	15	in	in	ADP
fuelectenerg-3305	155	16	this	this	DET
fuelectenerg-3305	155	17	classification	classification	NOUN
fuelectenerg-3305	155	18	that	that	PRON
fuelectenerg-3305	155	19	can	can	AUX
fuelectenerg-3305	155	20	be	be	AUX
fuelectenerg-3305	155	21	summarized	summarize	VERB
fuelectenerg-3305	155	22	as	as	SCONJ
fuelectenerg-3305	155	23	follows	follow	VERB
fuelectenerg-3305	155	24	:	:	PUNCT
fuelectenerg-3305	155	25	•	•	ADP
fuelectenerg-3305	155	26	the	the	DET
fuelectenerg-3305	155	27	n	n	NOUN
fuelectenerg-3305	155	28	+	+	CCONJ
fuelectenerg-3305	155	29	1	1	NUM
fuelectenerg-3305	155	30	zero	zero	NUM
fuelectenerg-3305	155	31	and	and	CCONJ
fuelectenerg-3305	155	32	first	first	ADJ
fuelectenerg-3305	155	33	order	order	NOUN
fuelectenerg-3305	155	34	coefficients	coefficient	NOUN
fuelectenerg-3305	155	35	are	be	AUX
fuelectenerg-3305	155	36	sufficient	sufficient	ADJ
fuelectenerg-3305	155	37	to	to	PART
fuelectenerg-3305	155	38	identify	identify	VERB
fuelectenerg-3305	155	39	unambiguously	unambiguously	ADV
fuelectenerg-3305	155	40	each	each	DET
fuelectenerg-3305	155	41	classification	classification	NOUN
fuelectenerg-3305	155	42	entry	entry	NOUN
fuelectenerg-3305	155	43	for	for	ADP
fuelectenerg-3305	155	44	n	n	DET
fuelectenerg-3305	155	45	≤	≤	NUM
fuelectenerg-3305	155	46	5	5	NUM
fuelectenerg-3305	155	47	,	,	PUNCT
fuelectenerg-3305	155	48	except	except	SCONJ
fuelectenerg-3305	155	49	for	for	ADP
fuelectenerg-3305	155	50	functions	function	NOUN
fuelectenerg-3305	155	51	with	with	ADP
fuelectenerg-3305	155	52	canonic	canonic	ADJ
fuelectenerg-3305	155	53	vectors	vector	NOUN
fuelectenerg-3305	155	54	35	35	NUM
fuelectenerg-3305	155	55	and	and	CCONJ
fuelectenerg-3305	155	56	36	36	NUM
fuelectenerg-3305	155	57	,	,	PUNCT
fuelectenerg-3305	155	58	as	as	ADV
fuelectenerg-3305	155	59	well	well	ADV
fuelectenerg-3305	155	60	as	as	ADP
fuelectenerg-3305	155	61	45a	45a	NOUN
fuelectenerg-3305	155	62	and	and	CCONJ
fuelectenerg-3305	155	63	46b	46b	PROPN
fuelectenerg-3305	155	64	.	.	PUNCT
fuelectenerg-3305	156	1	•	•	CCONJ
fuelectenerg-3305	156	2	there	there	PRON
fuelectenerg-3305	156	3	are	be	VERB
fuelectenerg-3305	156	4	6	6	NUM
fuelectenerg-3305	156	5	groups	group	NOUN
fuelectenerg-3305	156	6	of	of	ADP
fuelectenerg-3305	156	7	classes	class	NOUN
fuelectenerg-3305	156	8	with	with	ADP
fuelectenerg-3305	156	9	identical	identical	ADJ
fuelectenerg-3305	156	10	spectral	spectral	ADJ
fuelectenerg-3305	156	11	summary	summary	NOUN
fuelectenerg-3305	156	12	and	and	CCONJ
fuelectenerg-3305	156	13	different	different	ADJ
fuelectenerg-3305	156	14	canonical	canonical	ADJ
fuelectenerg-3305	156	15	form	form	NOUN
fuelectenerg-3305	156	16	of	of	ADP
fuelectenerg-3305	156	17	first	first	ADJ
fuelectenerg-3305	156	18	order	order	NOUN
fuelectenerg-3305	156	19	coefficients	coefficient	NOUN
fuelectenerg-3305	156	20	for	for	ADP
fuelectenerg-3305	156	21	functions	function	NOUN
fuelectenerg-3305	156	22	31	31	NUM
fuelectenerg-3305	156	23	and	and	CCONJ
fuelectenerg-3305	156	24	32	32	NUM
fuelectenerg-3305	156	25	,	,	PUNCT
fuelectenerg-3305	156	26	33	33	NUM
fuelectenerg-3305	156	27	and	and	CCONJ
fuelectenerg-3305	156	28	35	35	NUM
fuelectenerg-3305	156	29	,	,	PUNCT
fuelectenerg-3305	156	30	34	34	NUM
fuelectenerg-3305	156	31	and	and	CCONJ
fuelectenerg-3305	156	32	37	37	NUM
fuelectenerg-3305	156	33	,	,	PUNCT
fuelectenerg-3305	156	34	38	38	NUM
fuelectenerg-3305	156	35	and	and	CCONJ
fuelectenerg-3305	156	36	39	39	NUM
fuelectenerg-3305	156	37	,	,	PUNCT
fuelectenerg-3305	156	38	41	41	NUM
fuelectenerg-3305	156	39	,	,	PUNCT
fuelectenerg-3305	156	40	42	42	NUM
fuelectenerg-3305	156	41	,	,	PUNCT
fuelectenerg-3305	156	42	and	and	CCONJ
fuelectenerg-3305	156	43	43	43	NUM
fuelectenerg-3305	156	44	,	,	PUNCT
fuelectenerg-3305	156	45	as	as	ADV
fuelectenerg-3305	156	46	well	well	ADV
fuelectenerg-3305	156	47	as	as	ADP
fuelectenerg-3305	156	48	45a	45a	NOUN
fuelectenerg-3305	156	49	,	,	PUNCT
fuelectenerg-3305	156	50	45b	45b	NOUN
fuelectenerg-3305	156	51	and	and	CCONJ
fuelectenerg-3305	156	52	47	47	NUM
fuelectenerg-3305	156	53	.	.	NOUN
fuelectenerg-3305	156	54	4	4	NUM
fuelectenerg-3305	156	55	m.	m.	NOUN
fuelectenerg-3305	156	56	stankovic	stankovic	PROPN
fuelectenerg-3305	156	57	,	,	PUNCT
fuelectenerg-3305	156	58	c.	c.	PROPN
fuelectenerg-3305	156	59	moraga	moraga	PROPN
fuelectenerg-3305	156	60	,	,	PUNCT
fuelectenerg-3305	156	61	r.	r.	PROPN
fuelectenerg-3305	156	62	s.	s.	PROPN
fuelectenerg-3305	156	63	stanković	stanković	PROPN
fuelectenerg-3305	157	1	the	the	DET
fuelectenerg-3305	157	2	first	first	ADJ
fuelectenerg-3305	157	3	coefficient	coefficient	NOUN
fuelectenerg-3305	157	4	with	with	ADP
fuelectenerg-3305	157	5	the	the	DET
fuelectenerg-3305	157	6	index	index	NOUN
fuelectenerg-3305	157	7	i	i	PRON
fuelectenerg-3305	157	8	=	=	PUNCT
fuelectenerg-3305	157	9	(	(	PUNCT
fuelectenerg-3305	157	10	00	00	NUM
fuelectenerg-3305	157	11	.	.	PUNCT
fuelectenerg-3305	157	12	.	.	PUNCT
fuelectenerg-3305	158	1	.	.	PUNCT
fuelectenerg-3305	159	1	0	0	X
fuelectenerg-3305	159	2	)	)	PUNCT
fuelectenerg-3305	159	3	is	be	AUX
fuelectenerg-3305	159	4	called	call	VERB
fuelectenerg-3305	159	5	the	the	DET
fuelectenerg-3305	159	6	zero	zero	NUM
fuelectenerg-3305	159	7	order	order	NOUN
fuelectenerg-3305	159	8	coefficient	coefficient	NOUN
fuelectenerg-3305	159	9	,	,	PUNCT
fuelectenerg-3305	159	10	and	and	CCONJ
fuelectenerg-3305	159	11	the	the	DET
fuelectenerg-3305	159	12	coefficients	coefficient	NOUN
fuelectenerg-3305	159	13	with	with	ADP
fuelectenerg-3305	159	14	the	the	DET
fuelectenerg-3305	159	15	single	single	ADJ
fuelectenerg-3305	159	16	1	1	NUM
fuelectenerg-3305	159	17	in	in	ADP
fuelectenerg-3305	159	18	the	the	DET
fuelectenerg-3305	159	19	binary	binary	ADJ
fuelectenerg-3305	159	20	representation	representation	NOUN
fuelectenerg-3305	159	21	of	of	ADP
fuelectenerg-3305	159	22	the	the	DET
fuelectenerg-3305	159	23	indices	index	NOUN
fuelectenerg-3305	159	24	are	be	AUX
fuelectenerg-3305	159	25	the	the	DET
fuelectenerg-3305	159	26	coefficients	coefficient	NOUN
fuelectenerg-3305	159	27	of	of	ADP
fuelectenerg-3305	159	28	the	the	DET
fuelectenerg-3305	159	29	first	first	ADJ
fuelectenerg-3305	159	30	order	order	NOUN
fuelectenerg-3305	159	31	.	.	PUNCT
fuelectenerg-3305	160	1	walsh	walsh	PROPN
fuelectenerg-3305	160	2	spectral	spectral	ADJ
fuelectenerg-3305	160	3	coefficients	coefficient	NOUN
fuelectenerg-3305	160	4	are	be	AUX
fuelectenerg-3305	160	5	seen	see	VERB
fuelectenerg-3305	160	6	to	to	PART
fuelectenerg-3305	160	7	be	be	AUX
fuelectenerg-3305	160	8	a	a	DET
fuelectenerg-3305	160	9	form	form	NOUN
fuelectenerg-3305	160	10	of	of	ADP
fuelectenerg-3305	160	11	correlation	correlation	NOUN
fuelectenerg-3305	160	12	between	between	ADP
fuelectenerg-3305	160	13	function	function	NOUN
fuelectenerg-3305	160	14	inputs	input	NOUN
fuelectenerg-3305	160	15	and	and	CCONJ
fuelectenerg-3305	160	16	the	the	DET
fuelectenerg-3305	160	17	output	output	NOUN
fuelectenerg-3305	160	18	.	.	PUNCT
fuelectenerg-3305	161	1	2.2	2.2	NUM
fuelectenerg-3305	161	2	spectral	spectral	ADJ
fuelectenerg-3305	161	3	invariant	invariant	ADJ
fuelectenerg-3305	161	4	operations	operation	NOUN
fuelectenerg-3305	161	5	in	in	ADP
fuelectenerg-3305	161	6	walsh	walsh	PROPN
fuelectenerg-3305	161	7	classification	classification	NOUN
fuelectenerg-3305	161	8	,	,	PUNCT
fuelectenerg-3305	161	9	classification	classification	NOUN
fuelectenerg-3305	161	10	rules	rule	NOUN
fuelectenerg-3305	161	11	are	be	AUX
fuelectenerg-3305	161	12	derived	derive	VERB
fuelectenerg-3305	161	13	from	from	ADP
fuelectenerg-3305	161	14	the	the	DET
fuelectenerg-3305	161	15	so	so	ADV
fuelectenerg-3305	161	16	-	-	PUNCT
fuelectenerg-3305	161	17	called	call	VERB
fuelectenerg-3305	161	18	spectral	spectral	ADJ
fuelectenerg-3305	161	19	invariant	invariant	ADJ
fuelectenerg-3305	161	20	operations	operation	NOUN
fuelectenerg-3305	161	21	defined	define	VERB
fuelectenerg-3305	161	22	as	as	ADP
fuelectenerg-3305	161	23	operations	operation	NOUN
fuelectenerg-3305	161	24	that	that	PRON
fuelectenerg-3305	161	25	preserve	preserve	VERB
fuelectenerg-3305	161	26	the	the	DET
fuelectenerg-3305	161	27	absolute	absolute	ADJ
fuelectenerg-3305	161	28	values	value	NOUN
fuelectenerg-3305	161	29	of	of	ADP
fuelectenerg-3305	161	30	walsh	walsh	PROPN
fuelectenerg-3305	161	31	spectral	spectral	ADJ
fuelectenerg-3305	161	32	coefficients	coefficient	NOUN
fuelectenerg-3305	161	33	of	of	ADP
fuelectenerg-3305	161	34	boolean	boolean	ADJ
fuelectenerg-3305	161	35	functions	function	NOUN
fuelectenerg-3305	161	36	.	.	PUNCT
fuelectenerg-3305	162	1	in	in	ADP
fuelectenerg-3305	162	2	other	other	ADJ
fuelectenerg-3305	162	3	words	word	NOUN
fuelectenerg-3305	162	4	,	,	PUNCT
fuelectenerg-3305	162	5	spectral	spectral	ADJ
fuelectenerg-3305	162	6	invariant	invariant	ADJ
fuelectenerg-3305	162	7	operations	operation	NOUN
fuelectenerg-3305	162	8	perform	perform	VERB
fuelectenerg-3305	162	9	permutation	permutation	NOUN
fuelectenerg-3305	162	10	and	and	CCONJ
fuelectenerg-3305	162	11	change	change	VERB
fuelectenerg-3305	162	12	the	the	DET
fuelectenerg-3305	162	13	sign	sign	NOUN
fuelectenerg-3305	162	14	of	of	ADP
fuelectenerg-3305	162	15	walsh	walsh	PROPN
fuelectenerg-3305	162	16	coefficients	coefficient	NOUN
fuelectenerg-3305	162	17	.	.	PUNCT
fuelectenerg-3305	163	1	in	in	ADP
fuelectenerg-3305	163	2	order	order	NOUN
fuelectenerg-3305	163	3	to	to	PART
fuelectenerg-3305	163	4	ensure	ensure	VERB
fuelectenerg-3305	163	5	that	that	SCONJ
fuelectenerg-3305	163	6	walsh	walsh	PROPN
fuelectenerg-3305	163	7	spectra	spectra	NOUN
fuelectenerg-3305	163	8	with	with	ADP
fuelectenerg-3305	163	9	permuted	permuted	ADJ
fuelectenerg-3305	163	10	coefficients	coefficient	NOUN
fuelectenerg-3305	163	11	will	will	AUX
fuelectenerg-3305	163	12	remain	remain	VERB
fuelectenerg-3305	163	13	the	the	DET
fuelectenerg-3305	163	14	spectra	spectra	NOUN
fuelectenerg-3305	163	15	of	of	ADP
fuelectenerg-3305	163	16	boolean	boolean	ADJ
fuelectenerg-3305	163	17	and	and	CCONJ
fuelectenerg-3305	163	18	not	not	PART
fuelectenerg-3305	163	19	some	some	DET
fuelectenerg-3305	163	20	other	other	ADJ
fuelectenerg-3305	163	21	integer	integer	NOUN
fuelectenerg-3305	163	22	valued	value	VERB
fuelectenerg-3305	163	23	functions	function	NOUN
fuelectenerg-3305	163	24	,	,	PUNCT
fuelectenerg-3305	163	25	these	these	DET
fuelectenerg-3305	163	26	permutations	permutation	NOUN
fuelectenerg-3305	163	27	are	be	AUX
fuelectenerg-3305	163	28	not	not	PART
fuelectenerg-3305	163	29	arbitrary	arbitrary	ADJ
fuelectenerg-3305	163	30	.	.	PUNCT
fuelectenerg-3305	164	1	a	a	DET
fuelectenerg-3305	164	2	permutation	permutation	NOUN
fuelectenerg-3305	164	3	of	of	ADP
fuelectenerg-3305	164	4	some	some	DET
fuelectenerg-3305	164	5	walsh	walsh	NOUN
fuelectenerg-3305	164	6	coefficients	coefficient	NOUN
fuelectenerg-3305	164	7	requires	require	VERB
fuelectenerg-3305	164	8	a	a	DET
fuelectenerg-3305	164	9	simultaneous	simultaneous	ADJ
fuelectenerg-3305	164	10	permutation	permutation	NOUN
fuelectenerg-3305	164	11	of	of	ADP
fuelectenerg-3305	164	12	certain	certain	ADJ
fuelectenerg-3305	164	13	precisely	precisely	ADV
fuelectenerg-3305	164	14	specified	specified	ADJ
fuelectenerg-3305	164	15	subsets	subset	NOUN
fuelectenerg-3305	164	16	of	of	ADP
fuelectenerg-3305	164	17	walsh	walsh	PROPN
fuelectenerg-3305	164	18	coefficients	coefficient	NOUN
fuelectenerg-3305	164	19	(	(	PUNCT
fuelectenerg-3305	164	20	definition	definition	NOUN
fuelectenerg-3305	164	21	2	2	NUM
fuelectenerg-3305	164	22	)	)	PUNCT
fuelectenerg-3305	164	23	.	.	PUNCT
fuelectenerg-3305	165	1	definition	definition	NOUN
fuelectenerg-3305	165	2	2	2	NUM
fuelectenerg-3305	165	3	spectral	spectral	ADJ
fuelectenerg-3305	165	4	invariant	invariant	ADJ
fuelectenerg-3305	165	5	operations	operation	NOUN
fuelectenerg-3305	165	6	are	be	AUX
fuelectenerg-3305	165	7	defined	define	VERB
fuelectenerg-3305	165	8	as	as	ADP
fuelectenerg-3305	165	9	1	1	NUM
fuelectenerg-3305	165	10	.	.	PUNCT
fuelectenerg-3305	165	11	negation	negation	NOUN
fuelectenerg-3305	165	12	(	(	PUNCT
fuelectenerg-3305	165	13	complement	complement	NOUN
fuelectenerg-3305	165	14	)	)	PUNCT
fuelectenerg-3305	165	15	of	of	ADP
fuelectenerg-3305	165	16	the	the	DET
fuelectenerg-3305	165	17	f(x1	f(x1	NOUN
fuelectenerg-3305	165	18	,	,	PUNCT
fuelectenerg-3305	165	19	·	·	PUNCT
fuelectenerg-3305	165	20	·	·	PUNCT
fuelectenerg-3305	165	21	·	·	PUNCT
fuelectenerg-3305	165	22	,	,	PUNCT
fuelectenerg-3305	165	23	xn	xn	PROPN
fuelectenerg-3305	165	24	)	)	PUNCT
fuelectenerg-3305	165	25	.	.	PUNCT
fuelectenerg-3305	166	1	this	this	PRON
fuelectenerg-3305	166	2	results	result	VERB
fuelectenerg-3305	166	3	in	in	ADP
fuelectenerg-3305	166	4	the	the	DET
fuelectenerg-3305	166	5	change	change	NOUN
fuelectenerg-3305	166	6	of	of	ADP
fuelectenerg-3305	166	7	sign	sign	NOUN
fuelectenerg-3305	166	8	of	of	ADP
fuelectenerg-3305	166	9	all	all	DET
fuelectenerg-3305	166	10	spectral	spectral	ADJ
fuelectenerg-3305	166	11	coefficients	coefficient	NOUN
fuelectenerg-3305	166	12	without	without	ADP
fuelectenerg-3305	166	13	the	the	DET
fuelectenerg-3305	166	14	change	change	NOUN
fuelectenerg-3305	166	15	of	of	ADP
fuelectenerg-3305	166	16	their	their	PRON
fuelectenerg-3305	166	17	absolute	absolute	ADJ
fuelectenerg-3305	166	18	values	value	NOUN
fuelectenerg-3305	166	19	.	.	PUNCT
fuelectenerg-3305	167	1	2	2	X
fuelectenerg-3305	167	2	.	.	NUM
fuelectenerg-3305	167	3	negation	negation	NOUN
fuelectenerg-3305	167	4	(	(	PUNCT
fuelectenerg-3305	167	5	complement	complement	NOUN
fuelectenerg-3305	167	6	)	)	PUNCT
fuelectenerg-3305	167	7	of	of	ADP
fuelectenerg-3305	167	8	any	any	DET
fuelectenerg-3305	167	9	input	input	NOUN
fuelectenerg-3305	167	10	variable	variable	NOUN
fuelectenerg-3305	167	11	xi	xi	ADP
fuelectenerg-3305	167	12	,	,	PUNCT
fuelectenerg-3305	167	13	i	i	PRON
fuelectenerg-3305	167	14	∈	∈	PROPN
fuelectenerg-3305	167	15	(	(	PUNCT
fuelectenerg-3305	167	16	1	1	NUM
fuelectenerg-3305	167	17	,	,	PUNCT
fuelectenerg-3305	167	18	·	·	PUNCT
fuelectenerg-3305	167	19	·	·	PUNCT
fuelectenerg-3305	167	20	·	·	PUNCT
fuelectenerg-3305	167	21	,	,	PUNCT
fuelectenerg-3305	167	22	n	n	CCONJ
fuelectenerg-3305	167	23	)	)	PUNCT
fuelectenerg-3305	167	24	.	.	PUNCT
fuelectenerg-3305	168	1	this	this	DET
fuelectenerg-3305	168	2	results	result	VERB
fuelectenerg-3305	168	3	in	in	ADP
fuelectenerg-3305	168	4	the	the	DET
fuelectenerg-3305	168	5	change	change	NOUN
fuelectenerg-3305	168	6	of	of	ADP
fuelectenerg-3305	168	7	the	the	DET
fuelectenerg-3305	168	8	sign	sign	NOUN
fuelectenerg-3305	168	9	of	of	ADP
fuelectenerg-3305	168	10	all	all	DET
fuelectenerg-3305	168	11	coefficients	coefficient	NOUN
fuelectenerg-3305	168	12	with	with	ADP
fuelectenerg-3305	168	13	bi	bi	NOUN
fuelectenerg-3305	168	14	=	=	NOUN
fuelectenerg-3305	168	15	1	1	NUM
fuelectenerg-3305	168	16	in	in	ADP
fuelectenerg-3305	168	17	the	the	DET
fuelectenerg-3305	168	18	subscripts	subscript	NOUN
fuelectenerg-3305	168	19	.	.	PUNCT
fuelectenerg-3305	169	1	sb0	sb0	NOUN
fuelectenerg-3305	169	2	,	,	PUNCT
fuelectenerg-3305	169	3	·	·	PUNCT
fuelectenerg-3305	169	4	·	·	PUNCT
fuelectenerg-3305	169	5	·	·	PUNCT
fuelectenerg-3305	169	6	,	,	PUNCT
fuelectenerg-3305	169	7	bi=1	bi=1	PROPN
fuelectenerg-3305	169	8	,	,	PUNCT
fuelectenerg-3305	169	9	·	·	PUNCT
fuelectenerg-3305	169	10	·	·	PUNCT
fuelectenerg-3305	169	11	·	·	PUNCT
fuelectenerg-3305	169	12	,	,	PUNCT
fuelectenerg-3305	169	13	bn	bn	X
fuelectenerg-3305	169	14	=	=	SYM
fuelectenerg-3305	169	15	−sb0	−sb0	PROPN
fuelectenerg-3305	169	16	,	,	PUNCT
fuelectenerg-3305	169	17	·	·	PUNCT
fuelectenerg-3305	169	18	·	·	PUNCT
fuelectenerg-3305	169	19	·	·	PUNCT
fuelectenerg-3305	169	20	,	,	PUNCT
fuelectenerg-3305	169	21	bi=1	bi=1	PROPN
fuelectenerg-3305	169	22	,	,	PUNCT
fuelectenerg-3305	169	23	·	·	PUNCT
fuelectenerg-3305	169	24	·	·	PUNCT
fuelectenerg-3305	169	25	·	·	PUNCT
fuelectenerg-3305	169	26	,	,	PUNCT
fuelectenerg-3305	169	27	bn	bn	INTJ
fuelectenerg-3305	169	28	.	.	PUNCT
fuelectenerg-3305	170	1	3	3	X
fuelectenerg-3305	170	2	.	.	X
fuelectenerg-3305	170	3	interchange	interchange	NOUN
fuelectenerg-3305	170	4	of	of	ADP
fuelectenerg-3305	170	5	any	any	DET
fuelectenerg-3305	170	6	input	input	NOUN
fuelectenerg-3305	170	7	variable	variable	NOUN
fuelectenerg-3305	170	8	xi	xi	X
fuelectenerg-3305	170	9	with	with	ADP
fuelectenerg-3305	170	10	xj	xj	PROPN
fuelectenerg-3305	170	11	,	,	PUNCT
fuelectenerg-3305	170	12	i	i	PROPN
fuelectenerg-3305	170	13	�	�	PROPN
fuelectenerg-3305	170	14	=	=	SYM
fuelectenerg-3305	170	15	j.	j.	PROPN
fuelectenerg-3305	170	16	in	in	ADP
fuelectenerg-3305	170	17	the	the	DET
fuelectenerg-3305	170	18	spectral	spectral	ADJ
fuelectenerg-3305	170	19	domain	domain	NOUN
fuelectenerg-3305	170	20	this	this	PRON
fuelectenerg-3305	170	21	corresponds	correspond	VERB
fuelectenerg-3305	170	22	to	to	ADP
fuelectenerg-3305	170	23	the	the	DET
fuelectenerg-3305	170	24	permutation	permutation	NOUN
fuelectenerg-3305	170	25	of	of	ADP
fuelectenerg-3305	170	26	the	the	DET
fuelectenerg-3305	170	27	binary	binary	ADJ
fuelectenerg-3305	170	28	values	value	NOUN
fuelectenerg-3305	170	29	at	at	ADP
fuelectenerg-3305	170	30	the	the	DET
fuelectenerg-3305	170	31	positions	position	NOUN
fuelectenerg-3305	170	32	i	i	PRON
fuelectenerg-3305	170	33	and	and	CCONJ
fuelectenerg-3305	170	34	j	j	PROPN
fuelectenerg-3305	170	35	in	in	ADP
fuelectenerg-3305	170	36	the	the	DET
fuelectenerg-3305	170	37	subscripts	subscript	NOUN
fuelectenerg-3305	170	38	:	:	PUNCT
fuelectenerg-3305	170	39	sb0	sb0	NOUN
fuelectenerg-3305	170	40	,	,	PUNCT
fuelectenerg-3305	170	41	·	·	PUNCT
fuelectenerg-3305	170	42	·	·	PUNCT
fuelectenerg-3305	170	43	·	·	PUNCT
fuelectenerg-3305	170	44	,	,	PUNCT
fuelectenerg-3305	170	45	bi	bi	PROPN
fuelectenerg-3305	170	46	,	,	PUNCT
fuelectenerg-3305	170	47	·	·	PUNCT
fuelectenerg-3305	170	48	·	·	PUNCT
fuelectenerg-3305	170	49	·	·	PUNCT
fuelectenerg-3305	170	50	,	,	PUNCT
fuelectenerg-3305	170	51	bj	bj	ADP
fuelectenerg-3305	170	52	·	·	PUNCT
fuelectenerg-3305	170	53	·	·	PUNCT
fuelectenerg-3305	170	54	·	·	PUNCT
fuelectenerg-3305	170	55	,	,	PUNCT
fuelectenerg-3305	171	1	bn	bn	NUM
fuelectenerg-3305	171	2	↔	↔	PROPN
fuelectenerg-3305	171	3	sb0	sb0	NOUN
fuelectenerg-3305	171	4	,	,	PUNCT
fuelectenerg-3305	171	5	·	·	PUNCT
fuelectenerg-3305	171	6	·	·	PUNCT
fuelectenerg-3305	171	7	·	·	PUNCT
fuelectenerg-3305	171	8	,	,	PUNCT
fuelectenerg-3305	171	9	bj	bj	INTJ
fuelectenerg-3305	171	10	,	,	PUNCT
fuelectenerg-3305	171	11	·	·	PUNCT
fuelectenerg-3305	171	12	·	·	PUNCT
fuelectenerg-3305	171	13	·	·	PUNCT
fuelectenerg-3305	171	14	,	,	PUNCT
fuelectenerg-3305	171	15	bi	bi	PROPN
fuelectenerg-3305	171	16	·	·	PROPN
fuelectenerg-3305	171	17	·	·	PUNCT
fuelectenerg-3305	171	18	·	·	PUNCT
fuelectenerg-3305	171	19	,	,	PUNCT
fuelectenerg-3305	171	20	bn	bn	INTJ
fuelectenerg-3305	171	21	,	,	PUNCT
fuelectenerg-3305	171	22	4	4	X
fuelectenerg-3305	171	23	.	.	X
fuelectenerg-3305	171	24	replacement	replacement	NOUN
fuelectenerg-3305	171	25	of	of	ADP
fuelectenerg-3305	171	26	any	any	DET
fuelectenerg-3305	171	27	input	input	NOUN
fuelectenerg-3305	171	28	variable	variable	NOUN
fuelectenerg-3305	171	29	xi	xi	NOUN
fuelectenerg-3305	171	30	,	,	PUNCT
fuelectenerg-3305	171	31	by	by	ADP
fuelectenerg-3305	171	32	the	the	DET
fuelectenerg-3305	171	33	exclusive	exclusive	ADJ
fuelectenerg-3305	171	34	-	-	PUNCT
fuelectenerg-3305	171	35	or	or	CCONJ
fuelectenerg-3305	171	36	sum	sum	NOUN
fuelectenerg-3305	171	37	xi	xi	PROPN
fuelectenerg-3305	171	38	⊕	⊕	PROPN
fuelectenerg-3305	171	39	xj	xj	PROPN
fuelectenerg-3305	171	40	,	,	PUNCT
fuelectenerg-3305	171	41	i	i	PRON
fuelectenerg-3305	171	42	�	�	PROPN
fuelectenerg-3305	171	43	=	=	SYM
fuelectenerg-3305	171	44	j.	j.	PROPN
fuelectenerg-3305	172	1	this	this	DET
fuelectenerg-3305	172	2	operation	operation	NOUN
fuelectenerg-3305	172	3	results	result	VERB
fuelectenerg-3305	172	4	in	in	ADP
fuelectenerg-3305	172	5	the	the	DET
fuelectenerg-3305	172	6	interchange	interchange	NOUN
fuelectenerg-3305	172	7	of	of	ADP
fuelectenerg-3305	172	8	all	all	DET
fuelectenerg-3305	172	9	coefficient	coefficient	NOUN
fuelectenerg-3305	172	10	values	value	NOUN
fuelectenerg-3305	172	11	with	with	ADP
fuelectenerg-3305	172	12	bi	bi	NOUN
fuelectenerg-3305	172	13	=	=	PROPN
fuelectenerg-3305	172	14	1	1	NUM
fuelectenerg-3305	172	15	,	,	PUNCT
fuelectenerg-3305	172	16	bj	bj	VERB
fuelectenerg-3305	172	17	in	in	ADP
fuelectenerg-3305	172	18	the	the	DET
fuelectenerg-3305	172	19	subscripts	subscript	NOUN
fuelectenerg-3305	172	20	with	with	ADP
fuelectenerg-3305	172	21	the	the	DET
fuelectenerg-3305	172	22	coefficients	coefficient	NOUN
fuelectenerg-3305	172	23	having	have	VERB
fuelectenerg-3305	172	24	bi	bi	NOUN
fuelectenerg-3305	172	25	=	=	NOUN
fuelectenerg-3305	172	26	1	1	NUM
fuelectenerg-3305	172	27	,	,	PUNCT
fuelectenerg-3305	172	28	b̄j	b̄j	NOUN
fuelectenerg-3305	172	29	,	,	PUNCT
fuelectenerg-3305	172	30	while	while	SCONJ
fuelectenerg-3305	172	31	all	all	DET
fuelectenerg-3305	172	32	the	the	DET
fuelectenerg-3305	172	33	coefficients	coefficient	NOUN
fuelectenerg-3305	172	34	with	with	ADP
fuelectenerg-3305	172	35	bi	bi	NOUN
fuelectenerg-3305	172	36	=	=	NOUN
fuelectenerg-3305	172	37	0	0	NUM
fuelectenerg-3305	172	38	in	in	ADP
fuelectenerg-3305	172	39	the	the	DET
fuelectenerg-3305	172	40	subscripts	subscript	NOUN
fuelectenerg-3305	172	41	remain	remain	VERB
fuelectenerg-3305	172	42	unchanged	unchanged	ADJ
fuelectenerg-3305	172	43	:	:	PUNCT
fuelectenerg-3305	172	44	sb0	sb0	NOUN
fuelectenerg-3305	172	45	,	,	PUNCT
fuelectenerg-3305	172	46	·	·	PUNCT
fuelectenerg-3305	172	47	·	·	PUNCT
fuelectenerg-3305	172	48	·	·	PUNCT
fuelectenerg-3305	172	49	,	,	PUNCT
fuelectenerg-3305	172	50	bi=1	bi=1	PROPN
fuelectenerg-3305	172	51	,	,	PUNCT
fuelectenerg-3305	172	52	·	·	PUNCT
fuelectenerg-3305	172	53	·	·	PUNCT
fuelectenerg-3305	172	54	·	·	PUNCT
fuelectenerg-3305	172	55	,	,	PUNCT
fuelectenerg-3305	172	56	bj	bj	INTJ
fuelectenerg-3305	172	57	,	,	PUNCT
fuelectenerg-3305	172	58	·	·	PUNCT
fuelectenerg-3305	172	59	·	·	PUNCT
fuelectenerg-3305	172	60	·	·	PUNCT
fuelectenerg-3305	172	61	,	,	PUNCT
fuelectenerg-3305	172	62	bn	bn	NUM
fuelectenerg-3305	172	63	↔	↔	PROPN
fuelectenerg-3305	172	64	sb0	sb0	NOUN
fuelectenerg-3305	172	65	,	,	PUNCT
fuelectenerg-3305	172	66	·	·	PUNCT
fuelectenerg-3305	172	67	·	·	PUNCT
fuelectenerg-3305	172	68	·	·	PUNCT
fuelectenerg-3305	172	69	,	,	PUNCT
fuelectenerg-3305	172	70	bi=1	bi=1	PROPN
fuelectenerg-3305	172	71	,	,	PUNCT
fuelectenerg-3305	172	72	·	·	PUNCT
fuelectenerg-3305	172	73	·	·	PUNCT
fuelectenerg-3305	172	74	·	·	PUNCT
fuelectenerg-3305	172	75	,	,	PUNCT
fuelectenerg-3305	172	76	b̄j	b̄j	NOUN
fuelectenerg-3305	172	77	,	,	PUNCT
fuelectenerg-3305	172	78	·	·	PUNCT
fuelectenerg-3305	172	79	·	·	PUNCT
fuelectenerg-3305	172	80	·	·	PUNCT
fuelectenerg-3305	172	81	,	,	PUNCT
fuelectenerg-3305	172	82	bn	bn	INTJ
fuelectenerg-3305	172	83	.	.	PUNCT
fuelectenerg-3305	172	84	192	192	NUM
fuelectenerg-3305	172	85	m.	m.	NOUN
fuelectenerg-3305	172	86	stanković	stanković	NOUN
fuelectenerg-3305	172	87	,	,	PUNCT
fuelectenerg-3305	172	88	c.	c.	PROPN
fuelectenerg-3305	172	89	moraga	moraga	PROPN
fuelectenerg-3305	172	90	,	,	PUNCT
fuelectenerg-3305	172	91	r.	r.	PROPN
fuelectenerg-3305	172	92	s.	s.	PROPN
fuelectenerg-3305	172	93	stanković	stanković	PROPN
fuelectenerg-3305	172	94	an	an	DET
fuelectenerg-3305	172	95	improved	improved	ADJ
fuelectenerg-3305	172	96	spectral	spectral	ADJ
fuelectenerg-3305	172	97	classification	classification	NOUN
fuelectenerg-3305	172	98	of	of	ADP
fuelectenerg-3305	172	99	boolean	boolean	ADJ
fuelectenerg-3305	172	100	functions	function	NOUN
fuelectenerg-3305	172	101	...	...	PUNCT
fuelectenerg-3305	172	102	193	193	NUM
fuelectenerg-3305	172	103	4	4	NUM
fuelectenerg-3305	172	104	m.	m.	NOUN
fuelectenerg-3305	172	105	stankovic	stankovic	PROPN
fuelectenerg-3305	172	106	,	,	PUNCT
fuelectenerg-3305	172	107	c.	c.	PROPN
fuelectenerg-3305	172	108	moraga	moraga	PROPN
fuelectenerg-3305	172	109	,	,	PUNCT
fuelectenerg-3305	172	110	r.	r.	PROPN
fuelectenerg-3305	172	111	s.	s.	PROPN
fuelectenerg-3305	172	112	stanković	stanković	PROPN
fuelectenerg-3305	173	1	the	the	DET
fuelectenerg-3305	173	2	first	first	ADJ
fuelectenerg-3305	173	3	coefficient	coefficient	NOUN
fuelectenerg-3305	173	4	with	with	ADP
fuelectenerg-3305	173	5	the	the	DET
fuelectenerg-3305	173	6	index	index	NOUN
fuelectenerg-3305	173	7	i	i	PRON
fuelectenerg-3305	173	8	=	=	PUNCT
fuelectenerg-3305	173	9	(	(	PUNCT
fuelectenerg-3305	173	10	00	00	NUM
fuelectenerg-3305	173	11	.	.	PUNCT
fuelectenerg-3305	173	12	.	.	PUNCT
fuelectenerg-3305	174	1	.	.	PUNCT
fuelectenerg-3305	175	1	0	0	X
fuelectenerg-3305	175	2	)	)	PUNCT
fuelectenerg-3305	175	3	is	be	AUX
fuelectenerg-3305	175	4	called	call	VERB
fuelectenerg-3305	175	5	the	the	DET
fuelectenerg-3305	175	6	zero	zero	NUM
fuelectenerg-3305	175	7	order	order	NOUN
fuelectenerg-3305	175	8	coefficient	coefficient	NOUN
fuelectenerg-3305	175	9	,	,	PUNCT
fuelectenerg-3305	175	10	and	and	CCONJ
fuelectenerg-3305	175	11	the	the	DET
fuelectenerg-3305	175	12	coefficients	coefficient	NOUN
fuelectenerg-3305	175	13	with	with	ADP
fuelectenerg-3305	175	14	the	the	DET
fuelectenerg-3305	175	15	single	single	ADJ
fuelectenerg-3305	175	16	1	1	NUM
fuelectenerg-3305	175	17	in	in	ADP
fuelectenerg-3305	175	18	the	the	DET
fuelectenerg-3305	175	19	binary	binary	ADJ
fuelectenerg-3305	175	20	representation	representation	NOUN
fuelectenerg-3305	175	21	of	of	ADP
fuelectenerg-3305	175	22	the	the	DET
fuelectenerg-3305	175	23	indices	index	NOUN
fuelectenerg-3305	175	24	are	be	AUX
fuelectenerg-3305	175	25	the	the	DET
fuelectenerg-3305	175	26	coefficients	coefficient	NOUN
fuelectenerg-3305	175	27	of	of	ADP
fuelectenerg-3305	175	28	the	the	DET
fuelectenerg-3305	175	29	first	first	ADJ
fuelectenerg-3305	175	30	order	order	NOUN
fuelectenerg-3305	175	31	.	.	PUNCT
fuelectenerg-3305	176	1	walsh	walsh	PROPN
fuelectenerg-3305	176	2	spectral	spectral	ADJ
fuelectenerg-3305	176	3	coefficients	coefficient	NOUN
fuelectenerg-3305	176	4	are	be	AUX
fuelectenerg-3305	176	5	seen	see	VERB
fuelectenerg-3305	176	6	to	to	PART
fuelectenerg-3305	176	7	be	be	AUX
fuelectenerg-3305	176	8	a	a	DET
fuelectenerg-3305	176	9	form	form	NOUN
fuelectenerg-3305	176	10	of	of	ADP
fuelectenerg-3305	176	11	correlation	correlation	NOUN
fuelectenerg-3305	176	12	between	between	ADP
fuelectenerg-3305	176	13	function	function	NOUN
fuelectenerg-3305	176	14	inputs	input	NOUN
fuelectenerg-3305	176	15	and	and	CCONJ
fuelectenerg-3305	176	16	the	the	DET
fuelectenerg-3305	176	17	output	output	NOUN
fuelectenerg-3305	176	18	.	.	PUNCT
fuelectenerg-3305	177	1	2.2	2.2	NUM
fuelectenerg-3305	177	2	spectral	spectral	ADJ
fuelectenerg-3305	177	3	invariant	invariant	ADJ
fuelectenerg-3305	177	4	operations	operation	NOUN
fuelectenerg-3305	177	5	in	in	ADP
fuelectenerg-3305	177	6	walsh	walsh	PROPN
fuelectenerg-3305	177	7	classification	classification	NOUN
fuelectenerg-3305	177	8	,	,	PUNCT
fuelectenerg-3305	177	9	classification	classification	NOUN
fuelectenerg-3305	177	10	rules	rule	NOUN
fuelectenerg-3305	177	11	are	be	AUX
fuelectenerg-3305	177	12	derived	derive	VERB
fuelectenerg-3305	177	13	from	from	ADP
fuelectenerg-3305	177	14	the	the	DET
fuelectenerg-3305	177	15	so	so	ADV
fuelectenerg-3305	177	16	-	-	PUNCT
fuelectenerg-3305	177	17	called	call	VERB
fuelectenerg-3305	177	18	spectral	spectral	ADJ
fuelectenerg-3305	177	19	invariant	invariant	ADJ
fuelectenerg-3305	177	20	operations	operation	NOUN
fuelectenerg-3305	177	21	defined	define	VERB
fuelectenerg-3305	177	22	as	as	ADP
fuelectenerg-3305	177	23	operations	operation	NOUN
fuelectenerg-3305	177	24	that	that	PRON
fuelectenerg-3305	177	25	preserve	preserve	VERB
fuelectenerg-3305	177	26	the	the	DET
fuelectenerg-3305	177	27	absolute	absolute	ADJ
fuelectenerg-3305	177	28	values	value	NOUN
fuelectenerg-3305	177	29	of	of	ADP
fuelectenerg-3305	177	30	walsh	walsh	PROPN
fuelectenerg-3305	177	31	spectral	spectral	ADJ
fuelectenerg-3305	177	32	coefficients	coefficient	NOUN
fuelectenerg-3305	177	33	of	of	ADP
fuelectenerg-3305	177	34	boolean	boolean	ADJ
fuelectenerg-3305	177	35	functions	function	NOUN
fuelectenerg-3305	177	36	.	.	PUNCT
fuelectenerg-3305	178	1	in	in	ADP
fuelectenerg-3305	178	2	other	other	ADJ
fuelectenerg-3305	178	3	words	word	NOUN
fuelectenerg-3305	178	4	,	,	PUNCT
fuelectenerg-3305	178	5	spectral	spectral	ADJ
fuelectenerg-3305	178	6	invariant	invariant	ADJ
fuelectenerg-3305	178	7	operations	operation	NOUN
fuelectenerg-3305	178	8	perform	perform	VERB
fuelectenerg-3305	178	9	permutation	permutation	NOUN
fuelectenerg-3305	178	10	and	and	CCONJ
fuelectenerg-3305	178	11	change	change	VERB
fuelectenerg-3305	178	12	the	the	DET
fuelectenerg-3305	178	13	sign	sign	NOUN
fuelectenerg-3305	178	14	of	of	ADP
fuelectenerg-3305	178	15	walsh	walsh	PROPN
fuelectenerg-3305	178	16	coefficients	coefficient	NOUN
fuelectenerg-3305	178	17	.	.	PUNCT
fuelectenerg-3305	179	1	in	in	ADP
fuelectenerg-3305	179	2	order	order	NOUN
fuelectenerg-3305	179	3	to	to	PART
fuelectenerg-3305	179	4	ensure	ensure	VERB
fuelectenerg-3305	179	5	that	that	SCONJ
fuelectenerg-3305	179	6	walsh	walsh	PROPN
fuelectenerg-3305	179	7	spectra	spectra	NOUN
fuelectenerg-3305	179	8	with	with	ADP
fuelectenerg-3305	179	9	permuted	permuted	ADJ
fuelectenerg-3305	179	10	coefficients	coefficient	NOUN
fuelectenerg-3305	179	11	will	will	AUX
fuelectenerg-3305	179	12	remain	remain	VERB
fuelectenerg-3305	179	13	the	the	DET
fuelectenerg-3305	179	14	spectra	spectra	NOUN
fuelectenerg-3305	179	15	of	of	ADP
fuelectenerg-3305	179	16	boolean	boolean	ADJ
fuelectenerg-3305	179	17	and	and	CCONJ
fuelectenerg-3305	179	18	not	not	PART
fuelectenerg-3305	179	19	some	some	DET
fuelectenerg-3305	179	20	other	other	ADJ
fuelectenerg-3305	179	21	integer	integer	NOUN
fuelectenerg-3305	179	22	valued	value	VERB
fuelectenerg-3305	179	23	functions	function	NOUN
fuelectenerg-3305	179	24	,	,	PUNCT
fuelectenerg-3305	179	25	these	these	DET
fuelectenerg-3305	179	26	permutations	permutation	NOUN
fuelectenerg-3305	179	27	are	be	AUX
fuelectenerg-3305	179	28	not	not	PART
fuelectenerg-3305	179	29	arbitrary	arbitrary	ADJ
fuelectenerg-3305	179	30	.	.	PUNCT
fuelectenerg-3305	180	1	a	a	DET
fuelectenerg-3305	180	2	permutation	permutation	NOUN
fuelectenerg-3305	180	3	of	of	ADP
fuelectenerg-3305	180	4	some	some	DET
fuelectenerg-3305	180	5	walsh	walsh	NOUN
fuelectenerg-3305	180	6	coefficients	coefficient	NOUN
fuelectenerg-3305	180	7	requires	require	VERB
fuelectenerg-3305	180	8	a	a	DET
fuelectenerg-3305	180	9	simultaneous	simultaneous	ADJ
fuelectenerg-3305	180	10	permutation	permutation	NOUN
fuelectenerg-3305	180	11	of	of	ADP
fuelectenerg-3305	180	12	certain	certain	ADJ
fuelectenerg-3305	180	13	precisely	precisely	ADV
fuelectenerg-3305	180	14	specified	specified	ADJ
fuelectenerg-3305	180	15	subsets	subset	NOUN
fuelectenerg-3305	180	16	of	of	ADP
fuelectenerg-3305	180	17	walsh	walsh	PROPN
fuelectenerg-3305	180	18	coefficients	coefficient	NOUN
fuelectenerg-3305	180	19	(	(	PUNCT
fuelectenerg-3305	180	20	definition	definition	NOUN
fuelectenerg-3305	180	21	2	2	NUM
fuelectenerg-3305	180	22	)	)	PUNCT
fuelectenerg-3305	180	23	.	.	PUNCT
fuelectenerg-3305	181	1	definition	definition	NOUN
fuelectenerg-3305	181	2	2	2	NUM
fuelectenerg-3305	181	3	spectral	spectral	ADJ
fuelectenerg-3305	181	4	invariant	invariant	ADJ
fuelectenerg-3305	181	5	operations	operation	NOUN
fuelectenerg-3305	181	6	are	be	AUX
fuelectenerg-3305	181	7	defined	define	VERB
fuelectenerg-3305	181	8	as	as	ADP
fuelectenerg-3305	181	9	1	1	NUM
fuelectenerg-3305	181	10	.	.	PUNCT
fuelectenerg-3305	181	11	negation	negation	NOUN
fuelectenerg-3305	181	12	(	(	PUNCT
fuelectenerg-3305	181	13	complement	complement	NOUN
fuelectenerg-3305	181	14	)	)	PUNCT
fuelectenerg-3305	181	15	of	of	ADP
fuelectenerg-3305	181	16	the	the	DET
fuelectenerg-3305	181	17	f(x1	f(x1	NOUN
fuelectenerg-3305	181	18	,	,	PUNCT
fuelectenerg-3305	181	19	·	·	PUNCT
fuelectenerg-3305	181	20	·	·	PUNCT
fuelectenerg-3305	181	21	·	·	PUNCT
fuelectenerg-3305	181	22	,	,	PUNCT
fuelectenerg-3305	181	23	xn	xn	PROPN
fuelectenerg-3305	181	24	)	)	PUNCT
fuelectenerg-3305	181	25	.	.	PUNCT
fuelectenerg-3305	182	1	this	this	PRON
fuelectenerg-3305	182	2	results	result	VERB
fuelectenerg-3305	182	3	in	in	ADP
fuelectenerg-3305	182	4	the	the	DET
fuelectenerg-3305	182	5	change	change	NOUN
fuelectenerg-3305	182	6	of	of	ADP
fuelectenerg-3305	182	7	sign	sign	NOUN
fuelectenerg-3305	182	8	of	of	ADP
fuelectenerg-3305	182	9	all	all	DET
fuelectenerg-3305	182	10	spectral	spectral	ADJ
fuelectenerg-3305	182	11	coefficients	coefficient	NOUN
fuelectenerg-3305	182	12	without	without	ADP
fuelectenerg-3305	182	13	the	the	DET
fuelectenerg-3305	182	14	change	change	NOUN
fuelectenerg-3305	182	15	of	of	ADP
fuelectenerg-3305	182	16	their	their	PRON
fuelectenerg-3305	182	17	absolute	absolute	ADJ
fuelectenerg-3305	182	18	values	value	NOUN
fuelectenerg-3305	182	19	.	.	PUNCT
fuelectenerg-3305	183	1	2	2	X
fuelectenerg-3305	183	2	.	.	NUM
fuelectenerg-3305	183	3	negation	negation	NOUN
fuelectenerg-3305	183	4	(	(	PUNCT
fuelectenerg-3305	183	5	complement	complement	NOUN
fuelectenerg-3305	183	6	)	)	PUNCT
fuelectenerg-3305	183	7	of	of	ADP
fuelectenerg-3305	183	8	any	any	DET
fuelectenerg-3305	183	9	input	input	NOUN
fuelectenerg-3305	183	10	variable	variable	NOUN
fuelectenerg-3305	183	11	xi	xi	ADP
fuelectenerg-3305	183	12	,	,	PUNCT
fuelectenerg-3305	183	13	i	i	PRON
fuelectenerg-3305	183	14	∈	∈	PROPN
fuelectenerg-3305	183	15	(	(	PUNCT
fuelectenerg-3305	183	16	1	1	NUM
fuelectenerg-3305	183	17	,	,	PUNCT
fuelectenerg-3305	183	18	·	·	PUNCT
fuelectenerg-3305	183	19	·	·	PUNCT
fuelectenerg-3305	183	20	·	·	PUNCT
fuelectenerg-3305	183	21	,	,	PUNCT
fuelectenerg-3305	183	22	n	n	CCONJ
fuelectenerg-3305	183	23	)	)	PUNCT
fuelectenerg-3305	183	24	.	.	PUNCT
fuelectenerg-3305	184	1	this	this	DET
fuelectenerg-3305	184	2	results	result	VERB
fuelectenerg-3305	184	3	in	in	ADP
fuelectenerg-3305	184	4	the	the	DET
fuelectenerg-3305	184	5	change	change	NOUN
fuelectenerg-3305	184	6	of	of	ADP
fuelectenerg-3305	184	7	the	the	DET
fuelectenerg-3305	184	8	sign	sign	NOUN
fuelectenerg-3305	184	9	of	of	ADP
fuelectenerg-3305	184	10	all	all	DET
fuelectenerg-3305	184	11	coefficients	coefficient	NOUN
fuelectenerg-3305	184	12	with	with	ADP
fuelectenerg-3305	184	13	bi	bi	NOUN
fuelectenerg-3305	184	14	=	=	NOUN
fuelectenerg-3305	184	15	1	1	NUM
fuelectenerg-3305	184	16	in	in	ADP
fuelectenerg-3305	184	17	the	the	DET
fuelectenerg-3305	184	18	subscripts	subscript	NOUN
fuelectenerg-3305	184	19	.	.	PUNCT
fuelectenerg-3305	185	1	sb0	sb0	NOUN
fuelectenerg-3305	185	2	,	,	PUNCT
fuelectenerg-3305	185	3	·	·	PUNCT
fuelectenerg-3305	185	4	·	·	PUNCT
fuelectenerg-3305	185	5	·	·	PUNCT
fuelectenerg-3305	185	6	,	,	PUNCT
fuelectenerg-3305	185	7	bi=1	bi=1	PROPN
fuelectenerg-3305	185	8	,	,	PUNCT
fuelectenerg-3305	185	9	·	·	PUNCT
fuelectenerg-3305	185	10	·	·	PUNCT
fuelectenerg-3305	185	11	·	·	PUNCT
fuelectenerg-3305	185	12	,	,	PUNCT
fuelectenerg-3305	185	13	bn	bn	X
fuelectenerg-3305	185	14	=	=	SYM
fuelectenerg-3305	185	15	−sb0	−sb0	PROPN
fuelectenerg-3305	185	16	,	,	PUNCT
fuelectenerg-3305	185	17	·	·	PUNCT
fuelectenerg-3305	185	18	·	·	PUNCT
fuelectenerg-3305	185	19	·	·	PUNCT
fuelectenerg-3305	185	20	,	,	PUNCT
fuelectenerg-3305	185	21	bi=1	bi=1	PROPN
fuelectenerg-3305	185	22	,	,	PUNCT
fuelectenerg-3305	185	23	·	·	PUNCT
fuelectenerg-3305	185	24	·	·	PUNCT
fuelectenerg-3305	185	25	·	·	PUNCT
fuelectenerg-3305	185	26	,	,	PUNCT
fuelectenerg-3305	185	27	bn	bn	INTJ
fuelectenerg-3305	185	28	.	.	PUNCT
fuelectenerg-3305	186	1	3	3	X
fuelectenerg-3305	186	2	.	.	X
fuelectenerg-3305	186	3	interchange	interchange	NOUN
fuelectenerg-3305	186	4	of	of	ADP
fuelectenerg-3305	186	5	any	any	DET
fuelectenerg-3305	186	6	input	input	NOUN
fuelectenerg-3305	186	7	variable	variable	NOUN
fuelectenerg-3305	186	8	xi	xi	X
fuelectenerg-3305	186	9	with	with	ADP
fuelectenerg-3305	186	10	xj	xj	PROPN
fuelectenerg-3305	186	11	,	,	PUNCT
fuelectenerg-3305	186	12	i	i	PROPN
fuelectenerg-3305	186	13	�	�	PROPN
fuelectenerg-3305	186	14	=	=	SYM
fuelectenerg-3305	186	15	j.	j.	PROPN
fuelectenerg-3305	186	16	in	in	ADP
fuelectenerg-3305	186	17	the	the	DET
fuelectenerg-3305	186	18	spectral	spectral	ADJ
fuelectenerg-3305	186	19	domain	domain	NOUN
fuelectenerg-3305	186	20	this	this	PRON
fuelectenerg-3305	186	21	corresponds	correspond	VERB
fuelectenerg-3305	186	22	to	to	ADP
fuelectenerg-3305	186	23	the	the	DET
fuelectenerg-3305	186	24	permutation	permutation	NOUN
fuelectenerg-3305	186	25	of	of	ADP
fuelectenerg-3305	186	26	the	the	DET
fuelectenerg-3305	186	27	binary	binary	ADJ
fuelectenerg-3305	186	28	values	value	NOUN
fuelectenerg-3305	186	29	at	at	ADP
fuelectenerg-3305	186	30	the	the	DET
fuelectenerg-3305	186	31	positions	position	NOUN
fuelectenerg-3305	186	32	i	i	PRON
fuelectenerg-3305	186	33	and	and	CCONJ
fuelectenerg-3305	186	34	j	j	PROPN
fuelectenerg-3305	186	35	in	in	ADP
fuelectenerg-3305	186	36	the	the	DET
fuelectenerg-3305	186	37	subscripts	subscript	NOUN
fuelectenerg-3305	186	38	:	:	PUNCT
fuelectenerg-3305	186	39	sb0	sb0	NOUN
fuelectenerg-3305	186	40	,	,	PUNCT
fuelectenerg-3305	186	41	·	·	PUNCT
fuelectenerg-3305	186	42	·	·	PUNCT
fuelectenerg-3305	186	43	·	·	PUNCT
fuelectenerg-3305	186	44	,	,	PUNCT
fuelectenerg-3305	186	45	bi	bi	PROPN
fuelectenerg-3305	186	46	,	,	PUNCT
fuelectenerg-3305	186	47	·	·	PUNCT
fuelectenerg-3305	186	48	·	·	PUNCT
fuelectenerg-3305	186	49	·	·	PUNCT
fuelectenerg-3305	186	50	,	,	PUNCT
fuelectenerg-3305	186	51	bj	bj	ADP
fuelectenerg-3305	186	52	·	·	PUNCT
fuelectenerg-3305	186	53	·	·	PUNCT
fuelectenerg-3305	186	54	·	·	PUNCT
fuelectenerg-3305	186	55	,	,	PUNCT
fuelectenerg-3305	187	1	bn	bn	NUM
fuelectenerg-3305	187	2	↔	↔	PROPN
fuelectenerg-3305	187	3	sb0	sb0	NOUN
fuelectenerg-3305	187	4	,	,	PUNCT
fuelectenerg-3305	187	5	·	·	PUNCT
fuelectenerg-3305	187	6	·	·	PUNCT
fuelectenerg-3305	187	7	·	·	PUNCT
fuelectenerg-3305	187	8	,	,	PUNCT
fuelectenerg-3305	187	9	bj	bj	INTJ
fuelectenerg-3305	187	10	,	,	PUNCT
fuelectenerg-3305	187	11	·	·	PUNCT
fuelectenerg-3305	187	12	·	·	PUNCT
fuelectenerg-3305	187	13	·	·	PUNCT
fuelectenerg-3305	187	14	,	,	PUNCT
fuelectenerg-3305	187	15	bi	bi	PROPN
fuelectenerg-3305	187	16	·	·	PROPN
fuelectenerg-3305	187	17	·	·	PUNCT
fuelectenerg-3305	187	18	·	·	PUNCT
fuelectenerg-3305	187	19	,	,	PUNCT
fuelectenerg-3305	187	20	bn	bn	INTJ
fuelectenerg-3305	187	21	,	,	PUNCT
fuelectenerg-3305	187	22	4	4	X
fuelectenerg-3305	187	23	.	.	X
fuelectenerg-3305	187	24	replacement	replacement	NOUN
fuelectenerg-3305	187	25	of	of	ADP
fuelectenerg-3305	187	26	any	any	DET
fuelectenerg-3305	187	27	input	input	NOUN
fuelectenerg-3305	187	28	variable	variable	NOUN
fuelectenerg-3305	187	29	xi	xi	NOUN
fuelectenerg-3305	187	30	,	,	PUNCT
fuelectenerg-3305	187	31	by	by	ADP
fuelectenerg-3305	187	32	the	the	DET
fuelectenerg-3305	187	33	exclusive	exclusive	ADJ
fuelectenerg-3305	187	34	-	-	PUNCT
fuelectenerg-3305	187	35	or	or	CCONJ
fuelectenerg-3305	187	36	sum	sum	NOUN
fuelectenerg-3305	187	37	xi	xi	PROPN
fuelectenerg-3305	187	38	⊕	⊕	PROPN
fuelectenerg-3305	187	39	xj	xj	PROPN
fuelectenerg-3305	187	40	,	,	PUNCT
fuelectenerg-3305	187	41	i	i	PRON
fuelectenerg-3305	187	42	�	�	PROPN
fuelectenerg-3305	187	43	=	=	SYM
fuelectenerg-3305	187	44	j.	j.	PROPN
fuelectenerg-3305	188	1	this	this	DET
fuelectenerg-3305	188	2	operation	operation	NOUN
fuelectenerg-3305	188	3	results	result	VERB
fuelectenerg-3305	188	4	in	in	ADP
fuelectenerg-3305	188	5	the	the	DET
fuelectenerg-3305	188	6	interchange	interchange	NOUN
fuelectenerg-3305	188	7	of	of	ADP
fuelectenerg-3305	188	8	all	all	DET
fuelectenerg-3305	188	9	coefficient	coefficient	NOUN
fuelectenerg-3305	188	10	values	value	NOUN
fuelectenerg-3305	188	11	with	with	ADP
fuelectenerg-3305	188	12	bi	bi	NOUN
fuelectenerg-3305	188	13	=	=	PROPN
fuelectenerg-3305	188	14	1	1	NUM
fuelectenerg-3305	188	15	,	,	PUNCT
fuelectenerg-3305	188	16	bj	bj	VERB
fuelectenerg-3305	188	17	in	in	ADP
fuelectenerg-3305	188	18	the	the	DET
fuelectenerg-3305	188	19	subscripts	subscript	NOUN
fuelectenerg-3305	188	20	with	with	ADP
fuelectenerg-3305	188	21	the	the	DET
fuelectenerg-3305	188	22	coefficients	coefficient	NOUN
fuelectenerg-3305	188	23	having	have	VERB
fuelectenerg-3305	188	24	bi	bi	NOUN
fuelectenerg-3305	188	25	=	=	NOUN
fuelectenerg-3305	188	26	1	1	NUM
fuelectenerg-3305	188	27	,	,	PUNCT
fuelectenerg-3305	188	28	b̄j	b̄j	NOUN
fuelectenerg-3305	188	29	,	,	PUNCT
fuelectenerg-3305	188	30	while	while	SCONJ
fuelectenerg-3305	188	31	all	all	DET
fuelectenerg-3305	188	32	the	the	DET
fuelectenerg-3305	188	33	coefficients	coefficient	NOUN
fuelectenerg-3305	188	34	with	with	ADP
fuelectenerg-3305	188	35	bi	bi	NOUN
fuelectenerg-3305	188	36	=	=	NOUN
fuelectenerg-3305	188	37	0	0	NUM
fuelectenerg-3305	188	38	in	in	ADP
fuelectenerg-3305	188	39	the	the	DET
fuelectenerg-3305	188	40	subscripts	subscript	NOUN
fuelectenerg-3305	188	41	remain	remain	VERB
fuelectenerg-3305	188	42	unchanged	unchanged	ADJ
fuelectenerg-3305	188	43	:	:	PUNCT
fuelectenerg-3305	188	44	sb0	sb0	NOUN
fuelectenerg-3305	188	45	,	,	PUNCT
fuelectenerg-3305	188	46	·	·	PUNCT
fuelectenerg-3305	188	47	·	·	PUNCT
fuelectenerg-3305	188	48	·	·	PUNCT
fuelectenerg-3305	188	49	,	,	PUNCT
fuelectenerg-3305	188	50	bi=1	bi=1	PROPN
fuelectenerg-3305	188	51	,	,	PUNCT
fuelectenerg-3305	188	52	·	·	PUNCT
fuelectenerg-3305	188	53	·	·	PUNCT
fuelectenerg-3305	188	54	·	·	PUNCT
fuelectenerg-3305	188	55	,	,	PUNCT
fuelectenerg-3305	188	56	bj	bj	INTJ
fuelectenerg-3305	188	57	,	,	PUNCT
fuelectenerg-3305	188	58	·	·	PUNCT
fuelectenerg-3305	188	59	·	·	PUNCT
fuelectenerg-3305	188	60	·	·	PUNCT
fuelectenerg-3305	188	61	,	,	PUNCT
fuelectenerg-3305	188	62	bn	bn	NUM
fuelectenerg-3305	188	63	↔	↔	PROPN
fuelectenerg-3305	188	64	sb0	sb0	NOUN
fuelectenerg-3305	188	65	,	,	PUNCT
fuelectenerg-3305	188	66	·	·	PUNCT
fuelectenerg-3305	188	67	·	·	PUNCT
fuelectenerg-3305	188	68	·	·	PUNCT
fuelectenerg-3305	188	69	,	,	PUNCT
fuelectenerg-3305	188	70	bi=1	bi=1	PROPN
fuelectenerg-3305	188	71	,	,	PUNCT
fuelectenerg-3305	188	72	·	·	PUNCT
fuelectenerg-3305	188	73	·	·	PUNCT
fuelectenerg-3305	188	74	·	·	PUNCT
fuelectenerg-3305	188	75	,	,	PUNCT
fuelectenerg-3305	188	76	b̄j	b̄j	NOUN
fuelectenerg-3305	188	77	,	,	PUNCT
fuelectenerg-3305	188	78	·	·	PUNCT
fuelectenerg-3305	188	79	·	·	PUNCT
fuelectenerg-3305	188	80	·	·	PUNCT
fuelectenerg-3305	188	81	,	,	PUNCT
fuelectenerg-3305	188	82	bn	bn	X
fuelectenerg-3305	188	83	.	.	PUNCT
fuelectenerg-3305	189	1	an	an	DET
fuelectenerg-3305	189	2	improved	improve	VERB
fuelectenerg-3305	189	3	spectral	spectral	ADJ
fuelectenerg-3305	189	4	classification	classification	NOUN
fuelectenerg-3305	189	5	of	of	ADP
fuelectenerg-3305	189	6	boolean	boolean	ADJ
fuelectenerg-3305	189	7	functions	function	NOUN
fuelectenerg-3305	189	8	...	...	PUNCT
fuelectenerg-3305	189	9	5	5	NUM
fuelectenerg-3305	189	10	5	5	NUM
fuelectenerg-3305	189	11	.	.	PUNCT
fuelectenerg-3305	189	12	modifucation	modifucation	NOUN
fuelectenerg-3305	189	13	of	of	ADP
fuelectenerg-3305	189	14	the	the	DET
fuelectenerg-3305	189	15	function	function	NOUN
fuelectenerg-3305	189	16	f(x1	f(x1	NOUN
fuelectenerg-3305	189	17	,	,	PUNCT
fuelectenerg-3305	189	18	·	·	PUNCT
fuelectenerg-3305	189	19	·	·	PUNCT
fuelectenerg-3305	189	20	·	·	PUNCT
fuelectenerg-3305	189	21	,	,	PUNCT
fuelectenerg-3305	189	22	xn	xn	X
fuelectenerg-3305	189	23	)	)	PUNCT
fuelectenerg-3305	189	24	into	into	ADP
fuelectenerg-3305	189	25	function	function	NOUN
fuelectenerg-3305	189	26	f∗(x1	f∗(x1	PROPN
fuelectenerg-3305	189	27	,	,	PUNCT
fuelectenerg-3305	189	28	·	·	PUNCT
fuelectenerg-3305	189	29	·	·	PUNCT
fuelectenerg-3305	189	30	·	·	PUNCT
fuelectenerg-3305	189	31	,	,	PUNCT
fuelectenerg-3305	189	32	xn	xn	X
fuelectenerg-3305	189	33	)	)	PUNCT
fuelectenerg-3305	189	34	=	=	SYM
fuelectenerg-3305	189	35	f(x1	f(x1	X
fuelectenerg-3305	189	36	,	,	PUNCT
fuelectenerg-3305	189	37	·	·	PUNCT
fuelectenerg-3305	189	38	·	·	PUNCT
fuelectenerg-3305	189	39	·	·	PUNCT
fuelectenerg-3305	189	40	,	,	PUNCT
fuelectenerg-3305	189	41	xn)⊕	xn)⊕	NOUN
fuelectenerg-3305	189	42	xi	xi	PROPN
fuelectenerg-3305	189	43	,	,	PUNCT
fuelectenerg-3305	189	44	where	where	SCONJ
fuelectenerg-3305	189	45	xi	xi	PROPN
fuelectenerg-3305	189	46	∈	∈	PROPN
fuelectenerg-3305	189	47	{	{	PUNCT
fuelectenerg-3305	189	48	x1	x1	PROPN
fuelectenerg-3305	189	49	,	,	PUNCT
fuelectenerg-3305	189	50	·	·	PUNCT
fuelectenerg-3305	189	51	·	·	PUNCT
fuelectenerg-3305	189	52	·	·	PUNCT
fuelectenerg-3305	189	53	,	,	PUNCT
fuelectenerg-3305	189	54	xn	xn	X
fuelectenerg-3305	189	55	}	}	PUNCT
fuelectenerg-3305	189	56	results	result	NOUN
fuelectenerg-3305	189	57	in	in	ADP
fuelectenerg-3305	189	58	the	the	DET
fuelectenerg-3305	189	59	interchange	interchange	NOUN
fuelectenerg-3305	189	60	of	of	ADP
fuelectenerg-3305	189	61	all	all	DET
fuelectenerg-3305	189	62	coefficient	coefficient	NOUN
fuelectenerg-3305	189	63	having	have	VERB
fuelectenerg-3305	189	64	bi	bi	NOUN
fuelectenerg-3305	189	65	=	=	NOUN
fuelectenerg-3305	189	66	1	1	NUM
fuelectenerg-3305	189	67	in	in	ADP
fuelectenerg-3305	189	68	the	the	DET
fuelectenerg-3305	189	69	subscripts	subscript	NOUN
fuelectenerg-3305	189	70	with	with	ADP
fuelectenerg-3305	189	71	the	the	DET
fuelectenerg-3305	189	72	coefficients	coefficient	NOUN
fuelectenerg-3305	189	73	having	have	VERB
fuelectenerg-3305	189	74	bi	bi	NOUN
fuelectenerg-3305	189	75	=	=	PROPN
fuelectenerg-3305	189	76	0	0	PROPN
fuelectenerg-3305	189	77	,	,	PUNCT
fuelectenerg-3305	189	78	[	[	X
fuelectenerg-3305	189	79	12	12	NUM
fuelectenerg-3305	189	80	]	]	X
fuelectenerg-3305	189	81	:	:	PUNCT
fuelectenerg-3305	189	82	sb0	sb0	NOUN
fuelectenerg-3305	189	83	,	,	PUNCT
fuelectenerg-3305	189	84	·	·	PUNCT
fuelectenerg-3305	189	85	·	·	PUNCT
fuelectenerg-3305	189	86	·	·	PUNCT
fuelectenerg-3305	189	87	,	,	PUNCT
fuelectenerg-3305	189	88	bi=1	bi=1	PROPN
fuelectenerg-3305	189	89	,	,	PUNCT
fuelectenerg-3305	189	90	·	·	PUNCT
fuelectenerg-3305	189	91	·	·	PUNCT
fuelectenerg-3305	189	92	·	·	PUNCT
fuelectenerg-3305	189	93	,	,	PUNCT
fuelectenerg-3305	189	94	bn	bn	NUM
fuelectenerg-3305	189	95	↔	↔	PROPN
fuelectenerg-3305	189	96	sb0	sb0	NOUN
fuelectenerg-3305	189	97	,	,	PUNCT
fuelectenerg-3305	189	98	·	·	PUNCT
fuelectenerg-3305	189	99	·	·	PUNCT
fuelectenerg-3305	189	100	·	·	PUNCT
fuelectenerg-3305	189	101	,	,	PUNCT
fuelectenerg-3305	189	102	bi=0	bi=0	NUM
fuelectenerg-3305	189	103	,	,	PUNCT
fuelectenerg-3305	189	104	·	·	PUNCT
fuelectenerg-3305	189	105	·	·	PUNCT
fuelectenerg-3305	189	106	·	·	PUNCT
fuelectenerg-3305	189	107	,	,	PUNCT
fuelectenerg-3305	189	108	bn	bn	INTJ
fuelectenerg-3305	189	109	.	.	PUNCT
fuelectenerg-3305	190	1	it	it	PRON
fuelectenerg-3305	190	2	is	be	AUX
fuelectenerg-3305	190	3	important	important	ADJ
fuelectenerg-3305	190	4	to	to	PART
fuelectenerg-3305	190	5	note	note	VERB
fuelectenerg-3305	190	6	that	that	SCONJ
fuelectenerg-3305	190	7	referring	refer	VERB
fuelectenerg-3305	190	8	to	to	ADP
fuelectenerg-3305	190	9	the	the	DET
fuelectenerg-3305	190	10	reed	reed	NOUN
fuelectenerg-3305	190	11	-	-	PUNCT
fuelectenerg-3305	190	12	muller	muller	NOUN
fuelectenerg-3305	190	13	polynomial	polynomial	ADJ
fuelectenerg-3305	190	14	expressions	expression	NOUN
fuelectenerg-3305	190	15	for	for	ADP
fuelectenerg-3305	190	16	boolean	boolean	ADJ
fuelectenerg-3305	190	17	functions	function	NOUN
fuelectenerg-3305	190	18	,	,	PUNCT
fuelectenerg-3305	190	19	the	the	DET
fuelectenerg-3305	190	20	above	above	ADV
fuelectenerg-3305	190	21	defined	define	VERB
fuelectenerg-3305	190	22	spectral	spectral	ADJ
fuelectenerg-3305	190	23	invariant	invariant	ADJ
fuelectenerg-3305	190	24	operations	operation	NOUN
fuelectenerg-3305	190	25	do	do	AUX
fuelectenerg-3305	190	26	not	not	PART
fuelectenerg-3305	190	27	increase	increase	VERB
fuelectenerg-3305	190	28	the	the	DET
fuelectenerg-3305	190	29	number	number	NOUN
fuelectenerg-3305	190	30	of	of	ADP
fuelectenerg-3305	190	31	variables	variable	NOUN
fuelectenerg-3305	190	32	in	in	ADP
fuelectenerg-3305	190	33	the	the	DET
fuelectenerg-3305	190	34	product	product	NOUN
fuelectenerg-3305	190	35	terms	term	NOUN
fuelectenerg-3305	190	36	.	.	PUNCT
fuelectenerg-3305	191	1	2.3	2.3	NUM
fuelectenerg-3305	191	2	walsh	walsh	NOUN
fuelectenerg-3305	191	3	classification	classification	NOUN
fuelectenerg-3305	191	4	of	of	ADP
fuelectenerg-3305	191	5	boolean	boolean	ADJ
fuelectenerg-3305	191	6	functions	function	NOUN
fuelectenerg-3305	191	7	by	by	ADP
fuelectenerg-3305	191	8	using	use	VERB
fuelectenerg-3305	191	9	spectral	spectral	ADJ
fuelectenerg-3305	191	10	invariant	invariant	ADJ
fuelectenerg-3305	191	11	operations	operation	NOUN
fuelectenerg-3305	191	12	,	,	PUNCT
fuelectenerg-3305	191	13	hurst	hurst	PROPN
fuelectenerg-3305	191	14	in	in	ADP
fuelectenerg-3305	191	15	[	[	X
fuelectenerg-3305	191	16	12	12	NUM
fuelectenerg-3305	191	17	]	]	PUNCT
fuelectenerg-3305	191	18	and	and	CCONJ
fuelectenerg-3305	191	19	lechner	lechner	VERB
fuelectenerg-3305	191	20	in	in	ADP
fuelectenerg-3305	191	21	[	[	X
fuelectenerg-3305	191	22	13	13	NUM
fuelectenerg-3305	191	23	]	]	PUNCT
fuelectenerg-3305	191	24	proposed	propose	VERB
fuelectenerg-3305	191	25	a	a	DET
fuelectenerg-3305	191	26	procedure	procedure	NOUN
fuelectenerg-3305	191	27	for	for	ADP
fuelectenerg-3305	191	28	reordering	reordering	NOUN
fuelectenerg-3305	191	29	of	of	ADP
fuelectenerg-3305	191	30	spectral	spectral	ADJ
fuelectenerg-3305	191	31	coefficients	coefficient	NOUN
fuelectenerg-3305	191	32	into	into	ADP
fuelectenerg-3305	191	33	the	the	DET
fuelectenerg-3305	191	34	positive	positive	ADJ
fuelectenerg-3305	191	35	canonic	canonic	ADJ
fuelectenerg-3305	191	36	order	order	NOUN
fuelectenerg-3305	191	37	which	which	PRON
fuelectenerg-3305	191	38	represents	represent	VERB
fuelectenerg-3305	191	39	the	the	DET
fuelectenerg-3305	191	40	classification	classification	NOUN
fuelectenerg-3305	191	41	entry	entry	NOUN
fuelectenerg-3305	191	42	of	of	ADP
fuelectenerg-3305	191	43	the	the	DET
fuelectenerg-3305	191	44	given	give	VERB
fuelectenerg-3305	191	45	boolean	boolean	ADJ
fuelectenerg-3305	191	46	function	function	NOUN
fuelectenerg-3305	191	47	f(x1	f(x1	NOUN
fuelectenerg-3305	191	48	,	,	PUNCT
fuelectenerg-3305	191	49	·	·	PUNCT
fuelectenerg-3305	191	50	·	·	PUNCT
fuelectenerg-3305	191	51	·	·	PUNCT
fuelectenerg-3305	191	52	,	,	PUNCT
fuelectenerg-3305	191	53	xn	xn	PROPN
fuelectenerg-3305	191	54	)	)	PUNCT
fuelectenerg-3305	191	55	.	.	PUNCT
fuelectenerg-3305	192	1	positive	positive	ADJ
fuelectenerg-3305	192	2	canonic	canonic	ADJ
fuelectenerg-3305	192	3	order	order	NOUN
fuelectenerg-3305	192	4	is	be	AUX
fuelectenerg-3305	192	5	used	use	VERB
fuelectenerg-3305	192	6	for	for	ADP
fuelectenerg-3305	192	7	s00···0	s00···0	PUNCT
fuelectenerg-3305	192	8	and	and	CCONJ
fuelectenerg-3305	192	9	the	the	DET
fuelectenerg-3305	192	10	first	first	ADJ
fuelectenerg-3305	192	11	order	order	NOUN
fuelectenerg-3305	192	12	coefficients	coefficient	NOUN
fuelectenerg-3305	192	13	,	,	PUNCT
fuelectenerg-3305	192	14	while	while	SCONJ
fuelectenerg-3305	192	15	other	other	ADJ
fuelectenerg-3305	192	16	coefficients	coefficient	NOUN
fuelectenerg-3305	192	17	may	may	AUX
fuelectenerg-3305	192	18	take	take	VERB
fuelectenerg-3305	192	19	negative	negative	ADJ
fuelectenerg-3305	192	20	values	value	NOUN
fuelectenerg-3305	192	21	.	.	PUNCT
fuelectenerg-3305	193	1	in	in	ADP
fuelectenerg-3305	193	2	[	[	X
fuelectenerg-3305	193	3	12	12	NUM
fuelectenerg-3305	193	4	]	]	PUNCT
fuelectenerg-3305	193	5	,	,	PUNCT
fuelectenerg-3305	193	6	it	it	PRON
fuelectenerg-3305	193	7	is	be	AUX
fuelectenerg-3305	193	8	shown	show	VERB
fuelectenerg-3305	193	9	a	a	DET
fuelectenerg-3305	193	10	classification	classification	NOUN
fuelectenerg-3305	193	11	of	of	ADP
fuelectenerg-3305	193	12	all	all	DET
fuelectenerg-3305	193	13	boolean	boolean	ADJ
fuelectenerg-3305	193	14	functions	function	NOUN
fuelectenerg-3305	193	15	with	with	ADP
fuelectenerg-3305	193	16	n	n	DET
fuelectenerg-3305	193	17	≤	≤	NUM
fuelectenerg-3305	193	18	5	5	NUM
fuelectenerg-3305	193	19	variables	variable	NOUN
fuelectenerg-3305	193	20	as	as	ADP
fuelectenerg-3305	193	21	a	a	DET
fuelectenerg-3305	193	22	table	table	NOUN
fuelectenerg-3305	193	23	with	with	ADP
fuelectenerg-3305	193	24	48	48	NUM
fuelectenerg-3305	193	25	canonic	canonic	ADJ
fuelectenerg-3305	193	26	vectors	vector	NOUN
fuelectenerg-3305	193	27	.	.	PUNCT
fuelectenerg-3305	194	1	in	in	ADP
fuelectenerg-3305	194	2	this	this	DET
fuelectenerg-3305	194	3	table	table	NOUN
fuelectenerg-3305	194	4	,	,	PUNCT
fuelectenerg-3305	194	5	not	not	PART
fuelectenerg-3305	194	6	all	all	PRON
fuelectenerg-3305	194	7	of	of	ADP
fuelectenerg-3305	194	8	the	the	DET
fuelectenerg-3305	194	9	32	32	NUM
fuelectenerg-3305	194	10	coefficient	coefficient	NOUN
fuelectenerg-3305	194	11	values	value	NOUN
fuelectenerg-3305	194	12	for	for	ADP
fuelectenerg-3305	194	13	each	each	DET
fuelectenerg-3305	194	14	classified	classified	ADJ
fuelectenerg-3305	194	15	entry	entry	NOUN
fuelectenerg-3305	194	16	are	be	AUX
fuelectenerg-3305	194	17	shown	show	VERB
fuelectenerg-3305	194	18	.	.	PUNCT
fuelectenerg-3305	195	1	instead	instead	ADV
fuelectenerg-3305	195	2	,	,	PUNCT
fuelectenerg-3305	195	3	the	the	DET
fuelectenerg-3305	195	4	values	value	NOUN
fuelectenerg-3305	195	5	of	of	ADP
fuelectenerg-3305	195	6	first	first	ADJ
fuelectenerg-3305	195	7	order	order	NOUN
fuelectenerg-3305	195	8	coefficients	coefficient	NOUN
fuelectenerg-3305	195	9	are	be	AUX
fuelectenerg-3305	195	10	shown	show	VERB
fuelectenerg-3305	195	11	together	together	ADV
fuelectenerg-3305	195	12	with	with	ADP
fuelectenerg-3305	195	13	the	the	DET
fuelectenerg-3305	195	14	number	number	NOUN
fuelectenerg-3305	195	15	of	of	ADP
fuelectenerg-3305	195	16	coefficients	coefficient	NOUN
fuelectenerg-3305	195	17	having	have	VERB
fuelectenerg-3305	195	18	the	the	DET
fuelectenerg-3305	195	19	same	same	ADJ
fuelectenerg-3305	195	20	value	value	NOUN
fuelectenerg-3305	195	21	in	in	ADP
fuelectenerg-3305	195	22	each	each	DET
fuelectenerg-3305	195	23	entry	entry	NOUN
fuelectenerg-3305	195	24	.	.	PUNCT
fuelectenerg-3305	196	1	for	for	ADP
fuelectenerg-3305	196	2	example	example	NOUN
fuelectenerg-3305	196	3	(	(	PUNCT
fuelectenerg-3305	196	4	6	6	NUM
fuelectenerg-3305	196	5	×	×	NOUN
fuelectenerg-3305	196	6	10	10	NUM
fuelectenerg-3305	196	7	;	;	PUNCT
fuelectenerg-3305	196	8	10	10	NUM
fuelectenerg-3305	196	9	×	×	NOUN
fuelectenerg-3305	196	10	6	6	NUM
fuelectenerg-3305	196	11	;	;	PUNCT
fuelectenerg-3305	196	12	16	16	NUM
fuelectenerg-3305	196	13	×	×	NOUN
fuelectenerg-3305	196	14	2	2	NUM
fuelectenerg-3305	196	15	)	)	PUNCT
fuelectenerg-3305	196	16	indicates	indicate	VERB
fuelectenerg-3305	196	17	that	that	SCONJ
fuelectenerg-3305	196	18	the	the	DET
fuelectenerg-3305	196	19	6	6	NUM
fuelectenerg-3305	196	20	-	-	PUNCT
fuelectenerg-3305	196	21	th	th	VERB
fuelectenerg-3305	196	22	,	,	PUNCT
fuelectenerg-3305	196	23	10	10	NUM
fuelectenerg-3305	196	24	-	-	PUNCT
fuelectenerg-3305	196	25	th	th	NOUN
fuelectenerg-3305	196	26	,	,	PUNCT
fuelectenerg-3305	196	27	and	and	CCONJ
fuelectenerg-3305	196	28	16	16	NUM
fuelectenerg-3305	196	29	-	-	PUNCT
fuelectenerg-3305	196	30	th	th	NUM
fuelectenerg-3305	196	31	coefficients	coefficient	NOUN
fuelectenerg-3305	196	32	have	have	VERB
fuelectenerg-3305	196	33	values	value	NOUN
fuelectenerg-3305	196	34	10	10	NUM
fuelectenerg-3305	196	35	,	,	PUNCT
fuelectenerg-3305	196	36	6	6	NUM
fuelectenerg-3305	196	37	,	,	PUNCT
fuelectenerg-3305	196	38	and	and	CCONJ
fuelectenerg-3305	196	39	2	2	NUM
fuelectenerg-3305	196	40	,	,	PUNCT
fuelectenerg-3305	196	41	respectively	respectively	ADV
fuelectenerg-3305	196	42	,	,	PUNCT
fuelectenerg-3305	196	43	in	in	ADP
fuelectenerg-3305	196	44	the	the	DET
fuelectenerg-3305	196	45	entire	entire	ADJ
fuelectenerg-3305	196	46	spectrum	spectrum	NOUN
fuelectenerg-3305	196	47	of	of	ADP
fuelectenerg-3305	196	48	32	32	NUM
fuelectenerg-3305	196	49	coefficients	coefficient	NOUN
fuelectenerg-3305	196	50	.	.	PUNCT
fuelectenerg-3305	197	1	in	in	ADP
fuelectenerg-3305	197	2	table	table	NOUN
fuelectenerg-3305	197	3	1	1	NUM
fuelectenerg-3305	197	4	,	,	PUNCT
fuelectenerg-3305	197	5	we	we	PRON
fuelectenerg-3305	197	6	show	show	VERB
fuelectenerg-3305	197	7	a	a	DET
fuelectenerg-3305	197	8	part	part	NOUN
fuelectenerg-3305	197	9	of	of	ADP
fuelectenerg-3305	197	10	this	this	DET
fuelectenerg-3305	197	11	table	table	NOUN
fuelectenerg-3305	197	12	from	from	ADP
fuelectenerg-3305	197	13	[	[	X
fuelectenerg-3305	197	14	12	12	NUM
fuelectenerg-3305	197	15	]	]	PUNCT
fuelectenerg-3305	197	16	,	,	PUNCT
fuelectenerg-3305	197	17	starting	start	VERB
fuelectenerg-3305	197	18	from	from	ADP
fuelectenerg-3305	197	19	the	the	DET
fuelectenerg-3305	197	20	class	class	NOUN
fuelectenerg-3305	197	21	no	no	NOUN
fuelectenerg-3305	197	22	.	.	PROPN
fuelectenerg-3305	197	23	30	30	NUM
fuelectenerg-3305	197	24	.	.	PUNCT
fuelectenerg-3305	198	1	we	we	PRON
fuelectenerg-3305	198	2	consider	consider	VERB
fuelectenerg-3305	198	3	this	this	DET
fuelectenerg-3305	198	4	part	part	NOUN
fuelectenerg-3305	198	5	of	of	ADP
fuelectenerg-3305	198	6	the	the	DET
fuelectenerg-3305	198	7	classification	classification	NOUN
fuelectenerg-3305	198	8	table	table	NOUN
fuelectenerg-3305	198	9	,	,	PUNCT
fuelectenerg-3305	198	10	since	since	SCONJ
fuelectenerg-3305	198	11	there	there	PRON
fuelectenerg-3305	198	12	are	be	VERB
fuelectenerg-3305	198	13	some	some	DET
fuelectenerg-3305	198	14	inconsistencies	inconsistency	NOUN
fuelectenerg-3305	198	15	in	in	ADP
fuelectenerg-3305	198	16	this	this	DET
fuelectenerg-3305	198	17	classification	classification	NOUN
fuelectenerg-3305	198	18	that	that	PRON
fuelectenerg-3305	198	19	can	can	AUX
fuelectenerg-3305	198	20	be	be	AUX
fuelectenerg-3305	198	21	summarized	summarize	VERB
fuelectenerg-3305	198	22	as	as	SCONJ
fuelectenerg-3305	198	23	follows	follow	VERB
fuelectenerg-3305	198	24	:	:	PUNCT
fuelectenerg-3305	198	25	•	•	ADP
fuelectenerg-3305	198	26	the	the	DET
fuelectenerg-3305	198	27	n	n	NOUN
fuelectenerg-3305	198	28	+	+	CCONJ
fuelectenerg-3305	198	29	1	1	NUM
fuelectenerg-3305	198	30	zero	zero	NUM
fuelectenerg-3305	198	31	and	and	CCONJ
fuelectenerg-3305	198	32	first	first	ADJ
fuelectenerg-3305	198	33	order	order	NOUN
fuelectenerg-3305	198	34	coefficients	coefficient	NOUN
fuelectenerg-3305	198	35	are	be	AUX
fuelectenerg-3305	198	36	sufficient	sufficient	ADJ
fuelectenerg-3305	198	37	to	to	PART
fuelectenerg-3305	198	38	identify	identify	VERB
fuelectenerg-3305	198	39	unambiguously	unambiguously	ADV
fuelectenerg-3305	198	40	each	each	DET
fuelectenerg-3305	198	41	classification	classification	NOUN
fuelectenerg-3305	198	42	entry	entry	NOUN
fuelectenerg-3305	198	43	for	for	ADP
fuelectenerg-3305	198	44	n	n	DET
fuelectenerg-3305	198	45	≤	≤	NUM
fuelectenerg-3305	198	46	5	5	NUM
fuelectenerg-3305	198	47	,	,	PUNCT
fuelectenerg-3305	198	48	except	except	SCONJ
fuelectenerg-3305	198	49	for	for	ADP
fuelectenerg-3305	198	50	functions	function	NOUN
fuelectenerg-3305	198	51	with	with	ADP
fuelectenerg-3305	198	52	canonic	canonic	ADJ
fuelectenerg-3305	198	53	vectors	vector	NOUN
fuelectenerg-3305	198	54	35	35	NUM
fuelectenerg-3305	198	55	and	and	CCONJ
fuelectenerg-3305	198	56	36	36	NUM
fuelectenerg-3305	198	57	,	,	PUNCT
fuelectenerg-3305	198	58	as	as	ADV
fuelectenerg-3305	198	59	well	well	ADV
fuelectenerg-3305	198	60	as	as	ADP
fuelectenerg-3305	198	61	45a	45a	NOUN
fuelectenerg-3305	198	62	and	and	CCONJ
fuelectenerg-3305	198	63	46b	46b	PROPN
fuelectenerg-3305	198	64	.	.	PUNCT
fuelectenerg-3305	199	1	•	•	CCONJ
fuelectenerg-3305	199	2	there	there	PRON
fuelectenerg-3305	199	3	are	be	VERB
fuelectenerg-3305	199	4	6	6	NUM
fuelectenerg-3305	199	5	groups	group	NOUN
fuelectenerg-3305	199	6	of	of	ADP
fuelectenerg-3305	199	7	classes	class	NOUN
fuelectenerg-3305	199	8	with	with	ADP
fuelectenerg-3305	199	9	identical	identical	ADJ
fuelectenerg-3305	199	10	spectral	spectral	ADJ
fuelectenerg-3305	199	11	summary	summary	NOUN
fuelectenerg-3305	199	12	and	and	CCONJ
fuelectenerg-3305	199	13	different	different	ADJ
fuelectenerg-3305	199	14	canonical	canonical	ADJ
fuelectenerg-3305	199	15	form	form	NOUN
fuelectenerg-3305	199	16	of	of	ADP
fuelectenerg-3305	199	17	first	first	ADJ
fuelectenerg-3305	199	18	order	order	NOUN
fuelectenerg-3305	199	19	coefficients	coefficient	NOUN
fuelectenerg-3305	199	20	for	for	ADP
fuelectenerg-3305	199	21	functions	function	NOUN
fuelectenerg-3305	199	22	31	31	NUM
fuelectenerg-3305	199	23	and	and	CCONJ
fuelectenerg-3305	199	24	32	32	NUM
fuelectenerg-3305	199	25	,	,	PUNCT
fuelectenerg-3305	199	26	33	33	NUM
fuelectenerg-3305	199	27	and	and	CCONJ
fuelectenerg-3305	199	28	35	35	NUM
fuelectenerg-3305	199	29	,	,	PUNCT
fuelectenerg-3305	199	30	34	34	NUM
fuelectenerg-3305	199	31	and	and	CCONJ
fuelectenerg-3305	199	32	37	37	NUM
fuelectenerg-3305	199	33	,	,	PUNCT
fuelectenerg-3305	199	34	38	38	NUM
fuelectenerg-3305	199	35	and	and	CCONJ
fuelectenerg-3305	199	36	39	39	NUM
fuelectenerg-3305	199	37	,	,	PUNCT
fuelectenerg-3305	199	38	41	41	NUM
fuelectenerg-3305	199	39	,	,	PUNCT
fuelectenerg-3305	199	40	42	42	NUM
fuelectenerg-3305	199	41	,	,	PUNCT
fuelectenerg-3305	199	42	and	and	CCONJ
fuelectenerg-3305	199	43	43	43	NUM
fuelectenerg-3305	199	44	,	,	PUNCT
fuelectenerg-3305	199	45	as	as	ADV
fuelectenerg-3305	199	46	well	well	ADV
fuelectenerg-3305	199	47	as	as	ADP
fuelectenerg-3305	199	48	45a	45a	NOUN
fuelectenerg-3305	199	49	,	,	PUNCT
fuelectenerg-3305	199	50	45b	45b	NOUN
fuelectenerg-3305	199	51	and	and	CCONJ
fuelectenerg-3305	199	52	47	47	NUM
fuelectenerg-3305	199	53	.	.	PUNCT
fuelectenerg-3305	200	1	an	an	DET
fuelectenerg-3305	200	2	improved	improve	VERB
fuelectenerg-3305	200	3	spectral	spectral	ADJ
fuelectenerg-3305	200	4	classification	classification	NOUN
fuelectenerg-3305	200	5	of	of	ADP
fuelectenerg-3305	200	6	boolean	boolean	ADJ
fuelectenerg-3305	200	7	functions	function	NOUN
fuelectenerg-3305	200	8	...	...	PUNCT
fuelectenerg-3305	200	9	5	5	NUM
fuelectenerg-3305	200	10	5	5	NUM
fuelectenerg-3305	200	11	.	.	PUNCT
fuelectenerg-3305	200	12	modifucation	modifucation	NOUN
fuelectenerg-3305	200	13	of	of	ADP
fuelectenerg-3305	200	14	the	the	DET
fuelectenerg-3305	200	15	function	function	NOUN
fuelectenerg-3305	200	16	f(x1	f(x1	NOUN
fuelectenerg-3305	200	17	,	,	PUNCT
fuelectenerg-3305	200	18	·	·	PUNCT
fuelectenerg-3305	200	19	·	·	PUNCT
fuelectenerg-3305	200	20	·	·	PUNCT
fuelectenerg-3305	200	21	,	,	PUNCT
fuelectenerg-3305	200	22	xn	xn	X
fuelectenerg-3305	200	23	)	)	PUNCT
fuelectenerg-3305	200	24	into	into	ADP
fuelectenerg-3305	200	25	function	function	NOUN
fuelectenerg-3305	200	26	f∗(x1	f∗(x1	PROPN
fuelectenerg-3305	200	27	,	,	PUNCT
fuelectenerg-3305	200	28	·	·	PUNCT
fuelectenerg-3305	200	29	·	·	PUNCT
fuelectenerg-3305	200	30	·	·	PUNCT
fuelectenerg-3305	200	31	,	,	PUNCT
fuelectenerg-3305	200	32	xn	xn	X
fuelectenerg-3305	200	33	)	)	PUNCT
fuelectenerg-3305	200	34	=	=	SYM
fuelectenerg-3305	200	35	f(x1	f(x1	X
fuelectenerg-3305	200	36	,	,	PUNCT
fuelectenerg-3305	200	37	·	·	PUNCT
fuelectenerg-3305	200	38	·	·	PUNCT
fuelectenerg-3305	200	39	·	·	PUNCT
fuelectenerg-3305	200	40	,	,	PUNCT
fuelectenerg-3305	200	41	xn)⊕	xn)⊕	NOUN
fuelectenerg-3305	200	42	xi	xi	PROPN
fuelectenerg-3305	200	43	,	,	PUNCT
fuelectenerg-3305	200	44	where	where	SCONJ
fuelectenerg-3305	200	45	xi	xi	PROPN
fuelectenerg-3305	200	46	∈	∈	PROPN
fuelectenerg-3305	200	47	{	{	PUNCT
fuelectenerg-3305	200	48	x1	x1	PROPN
fuelectenerg-3305	200	49	,	,	PUNCT
fuelectenerg-3305	200	50	·	·	PUNCT
fuelectenerg-3305	200	51	·	·	PUNCT
fuelectenerg-3305	200	52	·	·	PUNCT
fuelectenerg-3305	200	53	,	,	PUNCT
fuelectenerg-3305	200	54	xn	xn	X
fuelectenerg-3305	200	55	}	}	PUNCT
fuelectenerg-3305	200	56	results	result	NOUN
fuelectenerg-3305	200	57	in	in	ADP
fuelectenerg-3305	200	58	the	the	DET
fuelectenerg-3305	200	59	interchange	interchange	NOUN
fuelectenerg-3305	200	60	of	of	ADP
fuelectenerg-3305	200	61	all	all	DET
fuelectenerg-3305	200	62	coefficient	coefficient	NOUN
fuelectenerg-3305	200	63	having	have	VERB
fuelectenerg-3305	200	64	bi	bi	NOUN
fuelectenerg-3305	200	65	=	=	NOUN
fuelectenerg-3305	200	66	1	1	NUM
fuelectenerg-3305	200	67	in	in	ADP
fuelectenerg-3305	200	68	the	the	DET
fuelectenerg-3305	200	69	subscripts	subscript	NOUN
fuelectenerg-3305	200	70	with	with	ADP
fuelectenerg-3305	200	71	the	the	DET
fuelectenerg-3305	200	72	coefficients	coefficient	NOUN
fuelectenerg-3305	200	73	having	have	VERB
fuelectenerg-3305	200	74	bi	bi	NOUN
fuelectenerg-3305	200	75	=	=	PROPN
fuelectenerg-3305	200	76	0	0	PROPN
fuelectenerg-3305	200	77	,	,	PUNCT
fuelectenerg-3305	200	78	[	[	X
fuelectenerg-3305	200	79	12	12	NUM
fuelectenerg-3305	200	80	]	]	X
fuelectenerg-3305	200	81	:	:	PUNCT
fuelectenerg-3305	200	82	sb0	sb0	NOUN
fuelectenerg-3305	200	83	,	,	PUNCT
fuelectenerg-3305	200	84	·	·	PUNCT
fuelectenerg-3305	200	85	·	·	PUNCT
fuelectenerg-3305	200	86	·	·	PUNCT
fuelectenerg-3305	200	87	,	,	PUNCT
fuelectenerg-3305	200	88	bi=1	bi=1	PROPN
fuelectenerg-3305	200	89	,	,	PUNCT
fuelectenerg-3305	200	90	·	·	PUNCT
fuelectenerg-3305	200	91	·	·	PUNCT
fuelectenerg-3305	200	92	·	·	PUNCT
fuelectenerg-3305	200	93	,	,	PUNCT
fuelectenerg-3305	200	94	bn	bn	NUM
fuelectenerg-3305	200	95	↔	↔	PROPN
fuelectenerg-3305	200	96	sb0	sb0	NOUN
fuelectenerg-3305	200	97	,	,	PUNCT
fuelectenerg-3305	200	98	·	·	PUNCT
fuelectenerg-3305	200	99	·	·	PUNCT
fuelectenerg-3305	200	100	·	·	PUNCT
fuelectenerg-3305	200	101	,	,	PUNCT
fuelectenerg-3305	200	102	bi=0	bi=0	NUM
fuelectenerg-3305	200	103	,	,	PUNCT
fuelectenerg-3305	200	104	·	·	PUNCT
fuelectenerg-3305	200	105	·	·	PUNCT
fuelectenerg-3305	200	106	·	·	PUNCT
fuelectenerg-3305	200	107	,	,	PUNCT
fuelectenerg-3305	200	108	bn	bn	INTJ
fuelectenerg-3305	200	109	.	.	PUNCT
fuelectenerg-3305	201	1	it	it	PRON
fuelectenerg-3305	201	2	is	be	AUX
fuelectenerg-3305	201	3	important	important	ADJ
fuelectenerg-3305	201	4	to	to	PART
fuelectenerg-3305	201	5	note	note	VERB
fuelectenerg-3305	201	6	that	that	SCONJ
fuelectenerg-3305	201	7	referring	refer	VERB
fuelectenerg-3305	201	8	to	to	ADP
fuelectenerg-3305	201	9	the	the	DET
fuelectenerg-3305	201	10	reed	reed	NOUN
fuelectenerg-3305	201	11	-	-	PUNCT
fuelectenerg-3305	201	12	muller	muller	NOUN
fuelectenerg-3305	201	13	polynomial	polynomial	ADJ
fuelectenerg-3305	201	14	expressions	expression	NOUN
fuelectenerg-3305	201	15	for	for	ADP
fuelectenerg-3305	201	16	boolean	boolean	ADJ
fuelectenerg-3305	201	17	functions	function	NOUN
fuelectenerg-3305	201	18	,	,	PUNCT
fuelectenerg-3305	201	19	the	the	DET
fuelectenerg-3305	201	20	above	above	ADV
fuelectenerg-3305	201	21	defined	define	VERB
fuelectenerg-3305	201	22	spectral	spectral	ADJ
fuelectenerg-3305	201	23	invariant	invariant	ADJ
fuelectenerg-3305	201	24	operations	operation	NOUN
fuelectenerg-3305	201	25	do	do	AUX
fuelectenerg-3305	201	26	not	not	PART
fuelectenerg-3305	201	27	increase	increase	VERB
fuelectenerg-3305	201	28	the	the	DET
fuelectenerg-3305	201	29	number	number	NOUN
fuelectenerg-3305	201	30	of	of	ADP
fuelectenerg-3305	201	31	variables	variable	NOUN
fuelectenerg-3305	201	32	in	in	ADP
fuelectenerg-3305	201	33	the	the	DET
fuelectenerg-3305	201	34	product	product	NOUN
fuelectenerg-3305	201	35	terms	term	NOUN
fuelectenerg-3305	201	36	.	.	PUNCT
fuelectenerg-3305	202	1	2.3	2.3	NUM
fuelectenerg-3305	202	2	walsh	walsh	NOUN
fuelectenerg-3305	202	3	classification	classification	NOUN
fuelectenerg-3305	202	4	of	of	ADP
fuelectenerg-3305	202	5	boolean	boolean	ADJ
fuelectenerg-3305	202	6	functions	function	NOUN
fuelectenerg-3305	202	7	by	by	ADP
fuelectenerg-3305	202	8	using	use	VERB
fuelectenerg-3305	202	9	spectral	spectral	ADJ
fuelectenerg-3305	202	10	invariant	invariant	ADJ
fuelectenerg-3305	202	11	operations	operation	NOUN
fuelectenerg-3305	202	12	,	,	PUNCT
fuelectenerg-3305	202	13	hurst	hurst	PROPN
fuelectenerg-3305	202	14	in	in	ADP
fuelectenerg-3305	202	15	[	[	X
fuelectenerg-3305	202	16	12	12	NUM
fuelectenerg-3305	202	17	]	]	PUNCT
fuelectenerg-3305	202	18	and	and	CCONJ
fuelectenerg-3305	202	19	lechner	lechner	VERB
fuelectenerg-3305	202	20	in	in	ADP
fuelectenerg-3305	202	21	[	[	X
fuelectenerg-3305	202	22	13	13	NUM
fuelectenerg-3305	202	23	]	]	PUNCT
fuelectenerg-3305	202	24	proposed	propose	VERB
fuelectenerg-3305	202	25	a	a	DET
fuelectenerg-3305	202	26	procedure	procedure	NOUN
fuelectenerg-3305	202	27	for	for	ADP
fuelectenerg-3305	202	28	reordering	reordering	NOUN
fuelectenerg-3305	202	29	of	of	ADP
fuelectenerg-3305	202	30	spectral	spectral	ADJ
fuelectenerg-3305	202	31	coefficients	coefficient	NOUN
fuelectenerg-3305	202	32	into	into	ADP
fuelectenerg-3305	202	33	the	the	DET
fuelectenerg-3305	202	34	positive	positive	ADJ
fuelectenerg-3305	202	35	canonic	canonic	ADJ
fuelectenerg-3305	202	36	order	order	NOUN
fuelectenerg-3305	202	37	which	which	PRON
fuelectenerg-3305	202	38	represents	represent	VERB
fuelectenerg-3305	202	39	the	the	DET
fuelectenerg-3305	202	40	classification	classification	NOUN
fuelectenerg-3305	202	41	entry	entry	NOUN
fuelectenerg-3305	202	42	of	of	ADP
fuelectenerg-3305	202	43	the	the	DET
fuelectenerg-3305	202	44	given	give	VERB
fuelectenerg-3305	202	45	boolean	boolean	ADJ
fuelectenerg-3305	202	46	function	function	NOUN
fuelectenerg-3305	202	47	f(x1	f(x1	NOUN
fuelectenerg-3305	202	48	,	,	PUNCT
fuelectenerg-3305	202	49	·	·	PUNCT
fuelectenerg-3305	202	50	·	·	PUNCT
fuelectenerg-3305	202	51	·	·	PUNCT
fuelectenerg-3305	202	52	,	,	PUNCT
fuelectenerg-3305	202	53	xn	xn	PROPN
fuelectenerg-3305	202	54	)	)	PUNCT
fuelectenerg-3305	202	55	.	.	PUNCT
fuelectenerg-3305	203	1	positive	positive	ADJ
fuelectenerg-3305	203	2	canonic	canonic	ADJ
fuelectenerg-3305	203	3	order	order	NOUN
fuelectenerg-3305	203	4	is	be	AUX
fuelectenerg-3305	203	5	used	use	VERB
fuelectenerg-3305	203	6	for	for	ADP
fuelectenerg-3305	203	7	s00···0	s00···0	PUNCT
fuelectenerg-3305	203	8	and	and	CCONJ
fuelectenerg-3305	203	9	the	the	DET
fuelectenerg-3305	203	10	first	first	ADJ
fuelectenerg-3305	203	11	order	order	NOUN
fuelectenerg-3305	203	12	coefficients	coefficient	NOUN
fuelectenerg-3305	203	13	,	,	PUNCT
fuelectenerg-3305	203	14	while	while	SCONJ
fuelectenerg-3305	203	15	other	other	ADJ
fuelectenerg-3305	203	16	coefficients	coefficient	NOUN
fuelectenerg-3305	203	17	may	may	AUX
fuelectenerg-3305	203	18	take	take	VERB
fuelectenerg-3305	203	19	negative	negative	ADJ
fuelectenerg-3305	203	20	values	value	NOUN
fuelectenerg-3305	203	21	.	.	PUNCT
fuelectenerg-3305	204	1	in	in	ADP
fuelectenerg-3305	204	2	[	[	X
fuelectenerg-3305	204	3	12	12	NUM
fuelectenerg-3305	204	4	]	]	PUNCT
fuelectenerg-3305	204	5	,	,	PUNCT
fuelectenerg-3305	204	6	it	it	PRON
fuelectenerg-3305	204	7	is	be	AUX
fuelectenerg-3305	204	8	shown	show	VERB
fuelectenerg-3305	204	9	a	a	DET
fuelectenerg-3305	204	10	classification	classification	NOUN
fuelectenerg-3305	204	11	of	of	ADP
fuelectenerg-3305	204	12	all	all	DET
fuelectenerg-3305	204	13	boolean	boolean	ADJ
fuelectenerg-3305	204	14	functions	function	NOUN
fuelectenerg-3305	204	15	with	with	ADP
fuelectenerg-3305	204	16	n	n	DET
fuelectenerg-3305	204	17	≤	≤	NUM
fuelectenerg-3305	204	18	5	5	NUM
fuelectenerg-3305	204	19	variables	variable	NOUN
fuelectenerg-3305	204	20	as	as	ADP
fuelectenerg-3305	204	21	a	a	DET
fuelectenerg-3305	204	22	table	table	NOUN
fuelectenerg-3305	204	23	with	with	ADP
fuelectenerg-3305	204	24	48	48	NUM
fuelectenerg-3305	204	25	canonic	canonic	ADJ
fuelectenerg-3305	204	26	vectors	vector	NOUN
fuelectenerg-3305	204	27	.	.	PUNCT
fuelectenerg-3305	205	1	in	in	ADP
fuelectenerg-3305	205	2	this	this	DET
fuelectenerg-3305	205	3	table	table	NOUN
fuelectenerg-3305	205	4	,	,	PUNCT
fuelectenerg-3305	205	5	not	not	PART
fuelectenerg-3305	205	6	all	all	PRON
fuelectenerg-3305	205	7	of	of	ADP
fuelectenerg-3305	205	8	the	the	DET
fuelectenerg-3305	205	9	32	32	NUM
fuelectenerg-3305	205	10	coefficient	coefficient	NOUN
fuelectenerg-3305	205	11	values	value	NOUN
fuelectenerg-3305	205	12	for	for	ADP
fuelectenerg-3305	205	13	each	each	DET
fuelectenerg-3305	205	14	classified	classified	ADJ
fuelectenerg-3305	205	15	entry	entry	NOUN
fuelectenerg-3305	205	16	are	be	AUX
fuelectenerg-3305	205	17	shown	show	VERB
fuelectenerg-3305	205	18	.	.	PUNCT
fuelectenerg-3305	206	1	instead	instead	ADV
fuelectenerg-3305	206	2	,	,	PUNCT
fuelectenerg-3305	206	3	the	the	DET
fuelectenerg-3305	206	4	values	value	NOUN
fuelectenerg-3305	206	5	of	of	ADP
fuelectenerg-3305	206	6	first	first	ADJ
fuelectenerg-3305	206	7	order	order	NOUN
fuelectenerg-3305	206	8	coefficients	coefficient	NOUN
fuelectenerg-3305	206	9	are	be	AUX
fuelectenerg-3305	206	10	shown	show	VERB
fuelectenerg-3305	206	11	together	together	ADV
fuelectenerg-3305	206	12	with	with	ADP
fuelectenerg-3305	206	13	the	the	DET
fuelectenerg-3305	206	14	number	number	NOUN
fuelectenerg-3305	206	15	of	of	ADP
fuelectenerg-3305	206	16	coefficients	coefficient	NOUN
fuelectenerg-3305	206	17	having	have	VERB
fuelectenerg-3305	206	18	the	the	DET
fuelectenerg-3305	206	19	same	same	ADJ
fuelectenerg-3305	206	20	value	value	NOUN
fuelectenerg-3305	206	21	in	in	ADP
fuelectenerg-3305	206	22	each	each	DET
fuelectenerg-3305	206	23	entry	entry	NOUN
fuelectenerg-3305	206	24	.	.	PUNCT
fuelectenerg-3305	207	1	for	for	ADP
fuelectenerg-3305	207	2	example	example	NOUN
fuelectenerg-3305	207	3	(	(	PUNCT
fuelectenerg-3305	207	4	6	6	NUM
fuelectenerg-3305	207	5	×	×	NOUN
fuelectenerg-3305	207	6	10	10	NUM
fuelectenerg-3305	207	7	;	;	PUNCT
fuelectenerg-3305	207	8	10	10	NUM
fuelectenerg-3305	207	9	×	×	NOUN
fuelectenerg-3305	207	10	6	6	NUM
fuelectenerg-3305	207	11	;	;	PUNCT
fuelectenerg-3305	207	12	16	16	NUM
fuelectenerg-3305	207	13	×	×	NOUN
fuelectenerg-3305	207	14	2	2	NUM
fuelectenerg-3305	207	15	)	)	PUNCT
fuelectenerg-3305	207	16	indicates	indicate	VERB
fuelectenerg-3305	207	17	that	that	SCONJ
fuelectenerg-3305	207	18	the	the	DET
fuelectenerg-3305	207	19	6	6	NUM
fuelectenerg-3305	207	20	-	-	PUNCT
fuelectenerg-3305	207	21	th	th	VERB
fuelectenerg-3305	207	22	,	,	PUNCT
fuelectenerg-3305	207	23	10	10	NUM
fuelectenerg-3305	207	24	-	-	PUNCT
fuelectenerg-3305	207	25	th	th	NOUN
fuelectenerg-3305	207	26	,	,	PUNCT
fuelectenerg-3305	207	27	and	and	CCONJ
fuelectenerg-3305	207	28	16	16	NUM
fuelectenerg-3305	207	29	-	-	PUNCT
fuelectenerg-3305	207	30	th	th	NUM
fuelectenerg-3305	207	31	coefficients	coefficient	NOUN
fuelectenerg-3305	207	32	have	have	VERB
fuelectenerg-3305	207	33	values	value	NOUN
fuelectenerg-3305	207	34	10	10	NUM
fuelectenerg-3305	207	35	,	,	PUNCT
fuelectenerg-3305	207	36	6	6	NUM
fuelectenerg-3305	207	37	,	,	PUNCT
fuelectenerg-3305	207	38	and	and	CCONJ
fuelectenerg-3305	207	39	2	2	NUM
fuelectenerg-3305	207	40	,	,	PUNCT
fuelectenerg-3305	207	41	respectively	respectively	ADV
fuelectenerg-3305	207	42	,	,	PUNCT
fuelectenerg-3305	207	43	in	in	ADP
fuelectenerg-3305	207	44	the	the	DET
fuelectenerg-3305	207	45	entire	entire	ADJ
fuelectenerg-3305	207	46	spectrum	spectrum	NOUN
fuelectenerg-3305	207	47	of	of	ADP
fuelectenerg-3305	207	48	32	32	NUM
fuelectenerg-3305	207	49	coefficients	coefficient	NOUN
fuelectenerg-3305	207	50	.	.	PUNCT
fuelectenerg-3305	208	1	in	in	ADP
fuelectenerg-3305	208	2	table	table	NOUN
fuelectenerg-3305	208	3	1	1	NUM
fuelectenerg-3305	208	4	,	,	PUNCT
fuelectenerg-3305	208	5	we	we	PRON
fuelectenerg-3305	208	6	show	show	VERB
fuelectenerg-3305	208	7	a	a	DET
fuelectenerg-3305	208	8	part	part	NOUN
fuelectenerg-3305	208	9	of	of	ADP
fuelectenerg-3305	208	10	this	this	DET
fuelectenerg-3305	208	11	table	table	NOUN
fuelectenerg-3305	208	12	from	from	ADP
fuelectenerg-3305	208	13	[	[	X
fuelectenerg-3305	208	14	12	12	NUM
fuelectenerg-3305	208	15	]	]	PUNCT
fuelectenerg-3305	208	16	,	,	PUNCT
fuelectenerg-3305	208	17	starting	start	VERB
fuelectenerg-3305	208	18	from	from	ADP
fuelectenerg-3305	208	19	the	the	DET
fuelectenerg-3305	208	20	class	class	NOUN
fuelectenerg-3305	208	21	no	no	NOUN
fuelectenerg-3305	208	22	.	.	PROPN
fuelectenerg-3305	208	23	30	30	NUM
fuelectenerg-3305	208	24	.	.	PUNCT
fuelectenerg-3305	209	1	we	we	PRON
fuelectenerg-3305	209	2	consider	consider	VERB
fuelectenerg-3305	209	3	this	this	DET
fuelectenerg-3305	209	4	part	part	NOUN
fuelectenerg-3305	209	5	of	of	ADP
fuelectenerg-3305	209	6	the	the	DET
fuelectenerg-3305	209	7	classification	classification	NOUN
fuelectenerg-3305	209	8	table	table	NOUN
fuelectenerg-3305	209	9	,	,	PUNCT
fuelectenerg-3305	209	10	since	since	SCONJ
fuelectenerg-3305	209	11	there	there	PRON
fuelectenerg-3305	209	12	are	be	VERB
fuelectenerg-3305	209	13	some	some	DET
fuelectenerg-3305	209	14	inconsistencies	inconsistency	NOUN
fuelectenerg-3305	209	15	in	in	ADP
fuelectenerg-3305	209	16	this	this	DET
fuelectenerg-3305	209	17	classification	classification	NOUN
fuelectenerg-3305	209	18	that	that	PRON
fuelectenerg-3305	209	19	can	can	AUX
fuelectenerg-3305	209	20	be	be	AUX
fuelectenerg-3305	209	21	summarized	summarize	VERB
fuelectenerg-3305	209	22	as	as	SCONJ
fuelectenerg-3305	209	23	follows	follow	VERB
fuelectenerg-3305	209	24	:	:	PUNCT
fuelectenerg-3305	209	25	•	•	ADP
fuelectenerg-3305	209	26	the	the	DET
fuelectenerg-3305	209	27	n	n	NOUN
fuelectenerg-3305	209	28	+	+	CCONJ
fuelectenerg-3305	209	29	1	1	NUM
fuelectenerg-3305	209	30	zero	zero	NUM
fuelectenerg-3305	209	31	and	and	CCONJ
fuelectenerg-3305	209	32	first	first	ADJ
fuelectenerg-3305	209	33	order	order	NOUN
fuelectenerg-3305	209	34	coefficients	coefficient	NOUN
fuelectenerg-3305	209	35	are	be	AUX
fuelectenerg-3305	209	36	sufficient	sufficient	ADJ
fuelectenerg-3305	209	37	to	to	PART
fuelectenerg-3305	209	38	identify	identify	VERB
fuelectenerg-3305	209	39	unambiguously	unambiguously	ADV
fuelectenerg-3305	209	40	each	each	DET
fuelectenerg-3305	209	41	classification	classification	NOUN
fuelectenerg-3305	209	42	entry	entry	NOUN
fuelectenerg-3305	209	43	for	for	ADP
fuelectenerg-3305	209	44	n	n	DET
fuelectenerg-3305	209	45	≤	≤	NUM
fuelectenerg-3305	209	46	5	5	NUM
fuelectenerg-3305	209	47	,	,	PUNCT
fuelectenerg-3305	209	48	except	except	SCONJ
fuelectenerg-3305	209	49	for	for	ADP
fuelectenerg-3305	209	50	functions	function	NOUN
fuelectenerg-3305	209	51	with	with	ADP
fuelectenerg-3305	209	52	canonic	canonic	ADJ
fuelectenerg-3305	209	53	vectors	vector	NOUN
fuelectenerg-3305	209	54	35	35	NUM
fuelectenerg-3305	209	55	and	and	CCONJ
fuelectenerg-3305	209	56	36	36	NUM
fuelectenerg-3305	209	57	,	,	PUNCT
fuelectenerg-3305	209	58	as	as	ADV
fuelectenerg-3305	209	59	well	well	ADV
fuelectenerg-3305	209	60	as	as	ADP
fuelectenerg-3305	209	61	45a	45a	NOUN
fuelectenerg-3305	209	62	and	and	CCONJ
fuelectenerg-3305	209	63	46b	46b	PROPN
fuelectenerg-3305	209	64	.	.	PUNCT
fuelectenerg-3305	210	1	•	•	CCONJ
fuelectenerg-3305	210	2	there	there	PRON
fuelectenerg-3305	210	3	are	be	VERB
fuelectenerg-3305	210	4	6	6	NUM
fuelectenerg-3305	210	5	groups	group	NOUN
fuelectenerg-3305	210	6	of	of	ADP
fuelectenerg-3305	210	7	classes	class	NOUN
fuelectenerg-3305	210	8	with	with	ADP
fuelectenerg-3305	210	9	identical	identical	ADJ
fuelectenerg-3305	210	10	spectral	spectral	ADJ
fuelectenerg-3305	210	11	summary	summary	NOUN
fuelectenerg-3305	210	12	and	and	CCONJ
fuelectenerg-3305	210	13	different	different	ADJ
fuelectenerg-3305	210	14	canonical	canonical	ADJ
fuelectenerg-3305	210	15	form	form	NOUN
fuelectenerg-3305	210	16	of	of	ADP
fuelectenerg-3305	210	17	first	first	ADJ
fuelectenerg-3305	210	18	order	order	NOUN
fuelectenerg-3305	210	19	coefficients	coefficient	NOUN
fuelectenerg-3305	210	20	for	for	ADP
fuelectenerg-3305	210	21	functions	function	NOUN
fuelectenerg-3305	210	22	31	31	NUM
fuelectenerg-3305	210	23	and	and	CCONJ
fuelectenerg-3305	210	24	32	32	NUM
fuelectenerg-3305	210	25	,	,	PUNCT
fuelectenerg-3305	210	26	33	33	NUM
fuelectenerg-3305	210	27	and	and	CCONJ
fuelectenerg-3305	210	28	35	35	NUM
fuelectenerg-3305	210	29	,	,	PUNCT
fuelectenerg-3305	210	30	34	34	NUM
fuelectenerg-3305	210	31	and	and	CCONJ
fuelectenerg-3305	210	32	37	37	NUM
fuelectenerg-3305	210	33	,	,	PUNCT
fuelectenerg-3305	210	34	38	38	NUM
fuelectenerg-3305	210	35	and	and	CCONJ
fuelectenerg-3305	210	36	39	39	NUM
fuelectenerg-3305	210	37	,	,	PUNCT
fuelectenerg-3305	210	38	41	41	NUM
fuelectenerg-3305	210	39	,	,	PUNCT
fuelectenerg-3305	210	40	42	42	NUM
fuelectenerg-3305	210	41	,	,	PUNCT
fuelectenerg-3305	210	42	and	and	CCONJ
fuelectenerg-3305	210	43	43	43	NUM
fuelectenerg-3305	210	44	,	,	PUNCT
fuelectenerg-3305	210	45	as	as	ADV
fuelectenerg-3305	210	46	well	well	ADV
fuelectenerg-3305	210	47	as	as	ADP
fuelectenerg-3305	210	48	45a	45a	NOUN
fuelectenerg-3305	210	49	,	,	PUNCT
fuelectenerg-3305	210	50	45b	45b	NOUN
fuelectenerg-3305	210	51	and	and	CCONJ
fuelectenerg-3305	210	52	47	47	NUM
fuelectenerg-3305	210	53	.	.	NOUN
fuelectenerg-3305	210	54	4	4	NUM
fuelectenerg-3305	210	55	m.	m.	NOUN
fuelectenerg-3305	210	56	stankovic	stankovic	PROPN
fuelectenerg-3305	210	57	,	,	PUNCT
fuelectenerg-3305	210	58	c.	c.	PROPN
fuelectenerg-3305	210	59	moraga	moraga	PROPN
fuelectenerg-3305	210	60	,	,	PUNCT
fuelectenerg-3305	210	61	r.	r.	PROPN
fuelectenerg-3305	210	62	s.	s.	PROPN
fuelectenerg-3305	210	63	stanković	stanković	PROPN
fuelectenerg-3305	211	1	the	the	DET
fuelectenerg-3305	211	2	first	first	ADJ
fuelectenerg-3305	211	3	coefficient	coefficient	NOUN
fuelectenerg-3305	211	4	with	with	ADP
fuelectenerg-3305	211	5	the	the	DET
fuelectenerg-3305	211	6	index	index	NOUN
fuelectenerg-3305	211	7	i	i	PRON
fuelectenerg-3305	211	8	=	=	PUNCT
fuelectenerg-3305	211	9	(	(	PUNCT
fuelectenerg-3305	211	10	00	00	NUM
fuelectenerg-3305	211	11	.	.	PUNCT
fuelectenerg-3305	211	12	.	.	PUNCT
fuelectenerg-3305	212	1	.	.	PUNCT
fuelectenerg-3305	213	1	0	0	X
fuelectenerg-3305	213	2	)	)	PUNCT
fuelectenerg-3305	213	3	is	be	AUX
fuelectenerg-3305	213	4	called	call	VERB
fuelectenerg-3305	213	5	the	the	DET
fuelectenerg-3305	213	6	zero	zero	NUM
fuelectenerg-3305	213	7	order	order	NOUN
fuelectenerg-3305	213	8	coefficient	coefficient	NOUN
fuelectenerg-3305	213	9	,	,	PUNCT
fuelectenerg-3305	213	10	and	and	CCONJ
fuelectenerg-3305	213	11	the	the	DET
fuelectenerg-3305	213	12	coefficients	coefficient	NOUN
fuelectenerg-3305	213	13	with	with	ADP
fuelectenerg-3305	213	14	the	the	DET
fuelectenerg-3305	213	15	single	single	ADJ
fuelectenerg-3305	213	16	1	1	NUM
fuelectenerg-3305	213	17	in	in	ADP
fuelectenerg-3305	213	18	the	the	DET
fuelectenerg-3305	213	19	binary	binary	ADJ
fuelectenerg-3305	213	20	representation	representation	NOUN
fuelectenerg-3305	213	21	of	of	ADP
fuelectenerg-3305	213	22	the	the	DET
fuelectenerg-3305	213	23	indices	index	NOUN
fuelectenerg-3305	213	24	are	be	AUX
fuelectenerg-3305	213	25	the	the	DET
fuelectenerg-3305	213	26	coefficients	coefficient	NOUN
fuelectenerg-3305	213	27	of	of	ADP
fuelectenerg-3305	213	28	the	the	DET
fuelectenerg-3305	213	29	first	first	ADJ
fuelectenerg-3305	213	30	order	order	NOUN
fuelectenerg-3305	213	31	.	.	PUNCT
fuelectenerg-3305	214	1	walsh	walsh	PROPN
fuelectenerg-3305	214	2	spectral	spectral	ADJ
fuelectenerg-3305	214	3	coefficients	coefficient	NOUN
fuelectenerg-3305	214	4	are	be	AUX
fuelectenerg-3305	214	5	seen	see	VERB
fuelectenerg-3305	214	6	to	to	PART
fuelectenerg-3305	214	7	be	be	AUX
fuelectenerg-3305	214	8	a	a	DET
fuelectenerg-3305	214	9	form	form	NOUN
fuelectenerg-3305	214	10	of	of	ADP
fuelectenerg-3305	214	11	correlation	correlation	NOUN
fuelectenerg-3305	214	12	between	between	ADP
fuelectenerg-3305	214	13	function	function	NOUN
fuelectenerg-3305	214	14	inputs	input	NOUN
fuelectenerg-3305	214	15	and	and	CCONJ
fuelectenerg-3305	214	16	the	the	DET
fuelectenerg-3305	214	17	output	output	NOUN
fuelectenerg-3305	214	18	.	.	PUNCT
fuelectenerg-3305	215	1	2.2	2.2	NUM
fuelectenerg-3305	215	2	spectral	spectral	ADJ
fuelectenerg-3305	215	3	invariant	invariant	ADJ
fuelectenerg-3305	215	4	operations	operation	NOUN
fuelectenerg-3305	215	5	in	in	ADP
fuelectenerg-3305	215	6	walsh	walsh	PROPN
fuelectenerg-3305	215	7	classification	classification	NOUN
fuelectenerg-3305	215	8	,	,	PUNCT
fuelectenerg-3305	215	9	classification	classification	NOUN
fuelectenerg-3305	215	10	rules	rule	NOUN
fuelectenerg-3305	215	11	are	be	AUX
fuelectenerg-3305	215	12	derived	derive	VERB
fuelectenerg-3305	215	13	from	from	ADP
fuelectenerg-3305	215	14	the	the	DET
fuelectenerg-3305	215	15	so	so	ADV
fuelectenerg-3305	215	16	-	-	PUNCT
fuelectenerg-3305	215	17	called	call	VERB
fuelectenerg-3305	215	18	spectral	spectral	ADJ
fuelectenerg-3305	215	19	invariant	invariant	ADJ
fuelectenerg-3305	215	20	operations	operation	NOUN
fuelectenerg-3305	215	21	defined	define	VERB
fuelectenerg-3305	215	22	as	as	ADP
fuelectenerg-3305	215	23	operations	operation	NOUN
fuelectenerg-3305	215	24	that	that	PRON
fuelectenerg-3305	215	25	preserve	preserve	VERB
fuelectenerg-3305	215	26	the	the	DET
fuelectenerg-3305	215	27	absolute	absolute	ADJ
fuelectenerg-3305	215	28	values	value	NOUN
fuelectenerg-3305	215	29	of	of	ADP
fuelectenerg-3305	215	30	walsh	walsh	PROPN
fuelectenerg-3305	215	31	spectral	spectral	ADJ
fuelectenerg-3305	215	32	coefficients	coefficient	NOUN
fuelectenerg-3305	215	33	of	of	ADP
fuelectenerg-3305	215	34	boolean	boolean	ADJ
fuelectenerg-3305	215	35	functions	function	NOUN
fuelectenerg-3305	215	36	.	.	PUNCT
fuelectenerg-3305	216	1	in	in	ADP
fuelectenerg-3305	216	2	other	other	ADJ
fuelectenerg-3305	216	3	words	word	NOUN
fuelectenerg-3305	216	4	,	,	PUNCT
fuelectenerg-3305	216	5	spectral	spectral	ADJ
fuelectenerg-3305	216	6	invariant	invariant	ADJ
fuelectenerg-3305	216	7	operations	operation	NOUN
fuelectenerg-3305	216	8	perform	perform	VERB
fuelectenerg-3305	216	9	permutation	permutation	NOUN
fuelectenerg-3305	216	10	and	and	CCONJ
fuelectenerg-3305	216	11	change	change	VERB
fuelectenerg-3305	216	12	the	the	DET
fuelectenerg-3305	216	13	sign	sign	NOUN
fuelectenerg-3305	216	14	of	of	ADP
fuelectenerg-3305	216	15	walsh	walsh	PROPN
fuelectenerg-3305	216	16	coefficients	coefficient	NOUN
fuelectenerg-3305	216	17	.	.	PUNCT
fuelectenerg-3305	217	1	in	in	ADP
fuelectenerg-3305	217	2	order	order	NOUN
fuelectenerg-3305	217	3	to	to	PART
fuelectenerg-3305	217	4	ensure	ensure	VERB
fuelectenerg-3305	217	5	that	that	SCONJ
fuelectenerg-3305	217	6	walsh	walsh	PROPN
fuelectenerg-3305	217	7	spectra	spectra	NOUN
fuelectenerg-3305	217	8	with	with	ADP
fuelectenerg-3305	217	9	permuted	permuted	ADJ
fuelectenerg-3305	217	10	coefficients	coefficient	NOUN
fuelectenerg-3305	217	11	will	will	AUX
fuelectenerg-3305	217	12	remain	remain	VERB
fuelectenerg-3305	217	13	the	the	DET
fuelectenerg-3305	217	14	spectra	spectra	NOUN
fuelectenerg-3305	217	15	of	of	ADP
fuelectenerg-3305	217	16	boolean	boolean	ADJ
fuelectenerg-3305	217	17	and	and	CCONJ
fuelectenerg-3305	217	18	not	not	PART
fuelectenerg-3305	217	19	some	some	DET
fuelectenerg-3305	217	20	other	other	ADJ
fuelectenerg-3305	217	21	integer	integer	NOUN
fuelectenerg-3305	217	22	valued	value	VERB
fuelectenerg-3305	217	23	functions	function	NOUN
fuelectenerg-3305	217	24	,	,	PUNCT
fuelectenerg-3305	217	25	these	these	DET
fuelectenerg-3305	217	26	permutations	permutation	NOUN
fuelectenerg-3305	217	27	are	be	AUX
fuelectenerg-3305	217	28	not	not	PART
fuelectenerg-3305	217	29	arbitrary	arbitrary	ADJ
fuelectenerg-3305	217	30	.	.	PUNCT
fuelectenerg-3305	218	1	a	a	DET
fuelectenerg-3305	218	2	permutation	permutation	NOUN
fuelectenerg-3305	218	3	of	of	ADP
fuelectenerg-3305	218	4	some	some	DET
fuelectenerg-3305	218	5	walsh	walsh	NOUN
fuelectenerg-3305	218	6	coefficients	coefficient	NOUN
fuelectenerg-3305	218	7	requires	require	VERB
fuelectenerg-3305	218	8	a	a	DET
fuelectenerg-3305	218	9	simultaneous	simultaneous	ADJ
fuelectenerg-3305	218	10	permutation	permutation	NOUN
fuelectenerg-3305	218	11	of	of	ADP
fuelectenerg-3305	218	12	certain	certain	ADJ
fuelectenerg-3305	218	13	precisely	precisely	ADV
fuelectenerg-3305	218	14	specified	specified	ADJ
fuelectenerg-3305	218	15	subsets	subset	NOUN
fuelectenerg-3305	218	16	of	of	ADP
fuelectenerg-3305	218	17	walsh	walsh	PROPN
fuelectenerg-3305	218	18	coefficients	coefficient	NOUN
fuelectenerg-3305	218	19	(	(	PUNCT
fuelectenerg-3305	218	20	definition	definition	NOUN
fuelectenerg-3305	218	21	2	2	NUM
fuelectenerg-3305	218	22	)	)	PUNCT
fuelectenerg-3305	218	23	.	.	PUNCT
fuelectenerg-3305	219	1	definition	definition	NOUN
fuelectenerg-3305	219	2	2	2	NUM
fuelectenerg-3305	219	3	spectral	spectral	ADJ
fuelectenerg-3305	219	4	invariant	invariant	ADJ
fuelectenerg-3305	219	5	operations	operation	NOUN
fuelectenerg-3305	219	6	are	be	AUX
fuelectenerg-3305	219	7	defined	define	VERB
fuelectenerg-3305	219	8	as	as	ADP
fuelectenerg-3305	219	9	1	1	NUM
fuelectenerg-3305	219	10	.	.	PUNCT
fuelectenerg-3305	219	11	negation	negation	NOUN
fuelectenerg-3305	219	12	(	(	PUNCT
fuelectenerg-3305	219	13	complement	complement	NOUN
fuelectenerg-3305	219	14	)	)	PUNCT
fuelectenerg-3305	219	15	of	of	ADP
fuelectenerg-3305	219	16	the	the	DET
fuelectenerg-3305	219	17	f(x1	f(x1	NOUN
fuelectenerg-3305	219	18	,	,	PUNCT
fuelectenerg-3305	219	19	·	·	PUNCT
fuelectenerg-3305	219	20	·	·	PUNCT
fuelectenerg-3305	219	21	·	·	PUNCT
fuelectenerg-3305	219	22	,	,	PUNCT
fuelectenerg-3305	219	23	xn	xn	PROPN
fuelectenerg-3305	219	24	)	)	PUNCT
fuelectenerg-3305	219	25	.	.	PUNCT
fuelectenerg-3305	220	1	this	this	PRON
fuelectenerg-3305	220	2	results	result	VERB
fuelectenerg-3305	220	3	in	in	ADP
fuelectenerg-3305	220	4	the	the	DET
fuelectenerg-3305	220	5	change	change	NOUN
fuelectenerg-3305	220	6	of	of	ADP
fuelectenerg-3305	220	7	sign	sign	NOUN
fuelectenerg-3305	220	8	of	of	ADP
fuelectenerg-3305	220	9	all	all	DET
fuelectenerg-3305	220	10	spectral	spectral	ADJ
fuelectenerg-3305	220	11	coefficients	coefficient	NOUN
fuelectenerg-3305	220	12	without	without	ADP
fuelectenerg-3305	220	13	the	the	DET
fuelectenerg-3305	220	14	change	change	NOUN
fuelectenerg-3305	220	15	of	of	ADP
fuelectenerg-3305	220	16	their	their	PRON
fuelectenerg-3305	220	17	absolute	absolute	ADJ
fuelectenerg-3305	220	18	values	value	NOUN
fuelectenerg-3305	220	19	.	.	PUNCT
fuelectenerg-3305	221	1	2	2	X
fuelectenerg-3305	221	2	.	.	NUM
fuelectenerg-3305	221	3	negation	negation	NOUN
fuelectenerg-3305	221	4	(	(	PUNCT
fuelectenerg-3305	221	5	complement	complement	NOUN
fuelectenerg-3305	221	6	)	)	PUNCT
fuelectenerg-3305	221	7	of	of	ADP
fuelectenerg-3305	221	8	any	any	DET
fuelectenerg-3305	221	9	input	input	NOUN
fuelectenerg-3305	221	10	variable	variable	NOUN
fuelectenerg-3305	221	11	xi	xi	ADP
fuelectenerg-3305	221	12	,	,	PUNCT
fuelectenerg-3305	221	13	i	i	PRON
fuelectenerg-3305	221	14	∈	∈	PROPN
fuelectenerg-3305	221	15	(	(	PUNCT
fuelectenerg-3305	221	16	1	1	NUM
fuelectenerg-3305	221	17	,	,	PUNCT
fuelectenerg-3305	221	18	·	·	PUNCT
fuelectenerg-3305	221	19	·	·	PUNCT
fuelectenerg-3305	221	20	·	·	PUNCT
fuelectenerg-3305	221	21	,	,	PUNCT
fuelectenerg-3305	221	22	n	n	CCONJ
fuelectenerg-3305	221	23	)	)	PUNCT
fuelectenerg-3305	221	24	.	.	PUNCT
fuelectenerg-3305	222	1	this	this	DET
fuelectenerg-3305	222	2	results	result	VERB
fuelectenerg-3305	222	3	in	in	ADP
fuelectenerg-3305	222	4	the	the	DET
fuelectenerg-3305	222	5	change	change	NOUN
fuelectenerg-3305	222	6	of	of	ADP
fuelectenerg-3305	222	7	the	the	DET
fuelectenerg-3305	222	8	sign	sign	NOUN
fuelectenerg-3305	222	9	of	of	ADP
fuelectenerg-3305	222	10	all	all	DET
fuelectenerg-3305	222	11	coefficients	coefficient	NOUN
fuelectenerg-3305	222	12	with	with	ADP
fuelectenerg-3305	222	13	bi	bi	NOUN
fuelectenerg-3305	222	14	=	=	NOUN
fuelectenerg-3305	222	15	1	1	NUM
fuelectenerg-3305	222	16	in	in	ADP
fuelectenerg-3305	222	17	the	the	DET
fuelectenerg-3305	222	18	subscripts	subscript	NOUN
fuelectenerg-3305	222	19	.	.	PUNCT
fuelectenerg-3305	223	1	sb0	sb0	NOUN
fuelectenerg-3305	223	2	,	,	PUNCT
fuelectenerg-3305	223	3	·	·	PUNCT
fuelectenerg-3305	223	4	·	·	PUNCT
fuelectenerg-3305	223	5	·	·	PUNCT
fuelectenerg-3305	223	6	,	,	PUNCT
fuelectenerg-3305	223	7	bi=1	bi=1	PROPN
fuelectenerg-3305	223	8	,	,	PUNCT
fuelectenerg-3305	223	9	·	·	PUNCT
fuelectenerg-3305	223	10	·	·	PUNCT
fuelectenerg-3305	223	11	·	·	PUNCT
fuelectenerg-3305	223	12	,	,	PUNCT
fuelectenerg-3305	223	13	bn	bn	X
fuelectenerg-3305	223	14	=	=	SYM
fuelectenerg-3305	223	15	−sb0	−sb0	PROPN
fuelectenerg-3305	223	16	,	,	PUNCT
fuelectenerg-3305	223	17	·	·	PUNCT
fuelectenerg-3305	223	18	·	·	PUNCT
fuelectenerg-3305	223	19	·	·	PUNCT
fuelectenerg-3305	223	20	,	,	PUNCT
fuelectenerg-3305	223	21	bi=1	bi=1	PROPN
fuelectenerg-3305	223	22	,	,	PUNCT
fuelectenerg-3305	223	23	·	·	PUNCT
fuelectenerg-3305	223	24	·	·	PUNCT
fuelectenerg-3305	223	25	·	·	PUNCT
fuelectenerg-3305	223	26	,	,	PUNCT
fuelectenerg-3305	223	27	bn	bn	INTJ
fuelectenerg-3305	223	28	.	.	PUNCT
fuelectenerg-3305	224	1	3	3	X
fuelectenerg-3305	224	2	.	.	X
fuelectenerg-3305	224	3	interchange	interchange	NOUN
fuelectenerg-3305	224	4	of	of	ADP
fuelectenerg-3305	224	5	any	any	DET
fuelectenerg-3305	224	6	input	input	NOUN
fuelectenerg-3305	224	7	variable	variable	NOUN
fuelectenerg-3305	224	8	xi	xi	X
fuelectenerg-3305	224	9	with	with	ADP
fuelectenerg-3305	224	10	xj	xj	PROPN
fuelectenerg-3305	224	11	,	,	PUNCT
fuelectenerg-3305	224	12	i	i	PROPN
fuelectenerg-3305	224	13	�	�	PROPN
fuelectenerg-3305	224	14	=	=	SYM
fuelectenerg-3305	224	15	j.	j.	PROPN
fuelectenerg-3305	224	16	in	in	ADP
fuelectenerg-3305	224	17	the	the	DET
fuelectenerg-3305	224	18	spectral	spectral	ADJ
fuelectenerg-3305	224	19	domain	domain	NOUN
fuelectenerg-3305	224	20	this	this	PRON
fuelectenerg-3305	224	21	corresponds	correspond	VERB
fuelectenerg-3305	224	22	to	to	ADP
fuelectenerg-3305	224	23	the	the	DET
fuelectenerg-3305	224	24	permutation	permutation	NOUN
fuelectenerg-3305	224	25	of	of	ADP
fuelectenerg-3305	224	26	the	the	DET
fuelectenerg-3305	224	27	binary	binary	ADJ
fuelectenerg-3305	224	28	values	value	NOUN
fuelectenerg-3305	224	29	at	at	ADP
fuelectenerg-3305	224	30	the	the	DET
fuelectenerg-3305	224	31	positions	position	NOUN
fuelectenerg-3305	224	32	i	i	PRON
fuelectenerg-3305	224	33	and	and	CCONJ
fuelectenerg-3305	224	34	j	j	PROPN
fuelectenerg-3305	224	35	in	in	ADP
fuelectenerg-3305	224	36	the	the	DET
fuelectenerg-3305	224	37	subscripts	subscript	NOUN
fuelectenerg-3305	224	38	:	:	PUNCT
fuelectenerg-3305	224	39	sb0	sb0	NOUN
fuelectenerg-3305	224	40	,	,	PUNCT
fuelectenerg-3305	224	41	·	·	PUNCT
fuelectenerg-3305	224	42	·	·	PUNCT
fuelectenerg-3305	224	43	·	·	PUNCT
fuelectenerg-3305	224	44	,	,	PUNCT
fuelectenerg-3305	224	45	bi	bi	PROPN
fuelectenerg-3305	224	46	,	,	PUNCT
fuelectenerg-3305	224	47	·	·	PUNCT
fuelectenerg-3305	224	48	·	·	PUNCT
fuelectenerg-3305	224	49	·	·	PUNCT
fuelectenerg-3305	224	50	,	,	PUNCT
fuelectenerg-3305	224	51	bj	bj	ADP
fuelectenerg-3305	224	52	·	·	PUNCT
fuelectenerg-3305	224	53	·	·	PUNCT
fuelectenerg-3305	224	54	·	·	PUNCT
fuelectenerg-3305	224	55	,	,	PUNCT
fuelectenerg-3305	225	1	bn	bn	NUM
fuelectenerg-3305	225	2	↔	↔	PROPN
fuelectenerg-3305	225	3	sb0	sb0	NOUN
fuelectenerg-3305	225	4	,	,	PUNCT
fuelectenerg-3305	225	5	·	·	PUNCT
fuelectenerg-3305	225	6	·	·	PUNCT
fuelectenerg-3305	225	7	·	·	PUNCT
fuelectenerg-3305	225	8	,	,	PUNCT
fuelectenerg-3305	225	9	bj	bj	INTJ
fuelectenerg-3305	225	10	,	,	PUNCT
fuelectenerg-3305	225	11	·	·	PUNCT
fuelectenerg-3305	225	12	·	·	PUNCT
fuelectenerg-3305	225	13	·	·	PUNCT
fuelectenerg-3305	225	14	,	,	PUNCT
fuelectenerg-3305	225	15	bi	bi	PROPN
fuelectenerg-3305	225	16	·	·	PROPN
fuelectenerg-3305	225	17	·	·	PUNCT
fuelectenerg-3305	225	18	·	·	PUNCT
fuelectenerg-3305	225	19	,	,	PUNCT
fuelectenerg-3305	225	20	bn	bn	INTJ
fuelectenerg-3305	225	21	,	,	PUNCT
fuelectenerg-3305	225	22	4	4	X
fuelectenerg-3305	225	23	.	.	X
fuelectenerg-3305	225	24	replacement	replacement	NOUN
fuelectenerg-3305	225	25	of	of	ADP
fuelectenerg-3305	225	26	any	any	DET
fuelectenerg-3305	225	27	input	input	NOUN
fuelectenerg-3305	225	28	variable	variable	NOUN
fuelectenerg-3305	225	29	xi	xi	NOUN
fuelectenerg-3305	225	30	,	,	PUNCT
fuelectenerg-3305	225	31	by	by	ADP
fuelectenerg-3305	225	32	the	the	DET
fuelectenerg-3305	225	33	exclusive	exclusive	ADJ
fuelectenerg-3305	225	34	-	-	PUNCT
fuelectenerg-3305	225	35	or	or	CCONJ
fuelectenerg-3305	225	36	sum	sum	NOUN
fuelectenerg-3305	225	37	xi	xi	PROPN
fuelectenerg-3305	225	38	⊕	⊕	PROPN
fuelectenerg-3305	225	39	xj	xj	PROPN
fuelectenerg-3305	225	40	,	,	PUNCT
fuelectenerg-3305	225	41	i	i	PRON
fuelectenerg-3305	225	42	�	�	PROPN
fuelectenerg-3305	225	43	=	=	SYM
fuelectenerg-3305	225	44	j.	j.	PROPN
fuelectenerg-3305	226	1	this	this	DET
fuelectenerg-3305	226	2	operation	operation	NOUN
fuelectenerg-3305	226	3	results	result	VERB
fuelectenerg-3305	226	4	in	in	ADP
fuelectenerg-3305	226	5	the	the	DET
fuelectenerg-3305	226	6	interchange	interchange	NOUN
fuelectenerg-3305	226	7	of	of	ADP
fuelectenerg-3305	226	8	all	all	DET
fuelectenerg-3305	226	9	coefficient	coefficient	NOUN
fuelectenerg-3305	226	10	values	value	NOUN
fuelectenerg-3305	226	11	with	with	ADP
fuelectenerg-3305	226	12	bi	bi	NOUN
fuelectenerg-3305	226	13	=	=	PROPN
fuelectenerg-3305	226	14	1	1	NUM
fuelectenerg-3305	226	15	,	,	PUNCT
fuelectenerg-3305	226	16	bj	bj	VERB
fuelectenerg-3305	226	17	in	in	ADP
fuelectenerg-3305	226	18	the	the	DET
fuelectenerg-3305	226	19	subscripts	subscript	NOUN
fuelectenerg-3305	226	20	with	with	ADP
fuelectenerg-3305	226	21	the	the	DET
fuelectenerg-3305	226	22	coefficients	coefficient	NOUN
fuelectenerg-3305	226	23	having	have	VERB
fuelectenerg-3305	226	24	bi	bi	NOUN
fuelectenerg-3305	226	25	=	=	NOUN
fuelectenerg-3305	226	26	1	1	NUM
fuelectenerg-3305	226	27	,	,	PUNCT
fuelectenerg-3305	226	28	b̄j	b̄j	NOUN
fuelectenerg-3305	226	29	,	,	PUNCT
fuelectenerg-3305	226	30	while	while	SCONJ
fuelectenerg-3305	226	31	all	all	DET
fuelectenerg-3305	226	32	the	the	DET
fuelectenerg-3305	226	33	coefficients	coefficient	NOUN
fuelectenerg-3305	226	34	with	with	ADP
fuelectenerg-3305	226	35	bi	bi	NOUN
fuelectenerg-3305	226	36	=	=	NOUN
fuelectenerg-3305	226	37	0	0	NUM
fuelectenerg-3305	226	38	in	in	ADP
fuelectenerg-3305	226	39	the	the	DET
fuelectenerg-3305	226	40	subscripts	subscript	NOUN
fuelectenerg-3305	226	41	remain	remain	VERB
fuelectenerg-3305	226	42	unchanged	unchanged	ADJ
fuelectenerg-3305	226	43	:	:	PUNCT
fuelectenerg-3305	226	44	sb0	sb0	NOUN
fuelectenerg-3305	226	45	,	,	PUNCT
fuelectenerg-3305	226	46	·	·	PUNCT
fuelectenerg-3305	226	47	·	·	PUNCT
fuelectenerg-3305	226	48	·	·	PUNCT
fuelectenerg-3305	226	49	,	,	PUNCT
fuelectenerg-3305	226	50	bi=1	bi=1	PROPN
fuelectenerg-3305	226	51	,	,	PUNCT
fuelectenerg-3305	226	52	·	·	PUNCT
fuelectenerg-3305	226	53	·	·	PUNCT
fuelectenerg-3305	226	54	·	·	PUNCT
fuelectenerg-3305	226	55	,	,	PUNCT
fuelectenerg-3305	226	56	bj	bj	INTJ
fuelectenerg-3305	226	57	,	,	PUNCT
fuelectenerg-3305	226	58	·	·	PUNCT
fuelectenerg-3305	226	59	·	·	PUNCT
fuelectenerg-3305	226	60	·	·	PUNCT
fuelectenerg-3305	226	61	,	,	PUNCT
fuelectenerg-3305	226	62	bn	bn	NUM
fuelectenerg-3305	226	63	↔	↔	PROPN
fuelectenerg-3305	226	64	sb0	sb0	NOUN
fuelectenerg-3305	226	65	,	,	PUNCT
fuelectenerg-3305	226	66	·	·	PUNCT
fuelectenerg-3305	226	67	·	·	PUNCT
fuelectenerg-3305	226	68	·	·	PUNCT
fuelectenerg-3305	226	69	,	,	PUNCT
fuelectenerg-3305	226	70	bi=1	bi=1	PROPN
fuelectenerg-3305	226	71	,	,	PUNCT
fuelectenerg-3305	226	72	·	·	PUNCT
fuelectenerg-3305	226	73	·	·	PUNCT
fuelectenerg-3305	226	74	·	·	PUNCT
fuelectenerg-3305	226	75	,	,	PUNCT
fuelectenerg-3305	226	76	b̄j	b̄j	NOUN
fuelectenerg-3305	226	77	,	,	PUNCT
fuelectenerg-3305	226	78	·	·	PUNCT
fuelectenerg-3305	226	79	·	·	PUNCT
fuelectenerg-3305	226	80	·	·	PUNCT
fuelectenerg-3305	226	81	,	,	PUNCT
fuelectenerg-3305	226	82	bn	bn	INTJ
fuelectenerg-3305	226	83	.	.	PUNCT
fuelectenerg-3305	226	84	192	192	NUM
fuelectenerg-3305	226	85	m.	m.	NOUN
fuelectenerg-3305	226	86	stanković	stanković	NOUN
fuelectenerg-3305	226	87	,	,	PUNCT
fuelectenerg-3305	226	88	c.	c.	PROPN
fuelectenerg-3305	226	89	moraga	moraga	PROPN
fuelectenerg-3305	226	90	,	,	PUNCT
fuelectenerg-3305	226	91	r.	r.	PROPN
fuelectenerg-3305	226	92	s.	s.	PROPN
fuelectenerg-3305	226	93	stanković	stanković	PROPN
fuelectenerg-3305	226	94	an	an	DET
fuelectenerg-3305	226	95	improved	improved	ADJ
fuelectenerg-3305	226	96	spectral	spectral	ADJ
fuelectenerg-3305	226	97	classification	classification	NOUN
fuelectenerg-3305	226	98	of	of	ADP
fuelectenerg-3305	226	99	boolean	boolean	ADJ
fuelectenerg-3305	226	100	functions	function	NOUN
fuelectenerg-3305	226	101	...	...	PUNCT
fuelectenerg-3305	226	102	193	193	NUM
fuelectenerg-3305	226	103	6	6	NUM
fuelectenerg-3305	226	104	m.	m.	NOUN
fuelectenerg-3305	226	105	stankovic	stankovic	PROPN
fuelectenerg-3305	226	106	,	,	PUNCT
fuelectenerg-3305	226	107	c.	c.	PROPN
fuelectenerg-3305	226	108	moraga	moraga	PROPN
fuelectenerg-3305	226	109	,	,	PUNCT
fuelectenerg-3305	226	110	r.	r.	PROPN
fuelectenerg-3305	226	111	s.	s.	PROPN
fuelectenerg-3305	226	112	stanković	stanković	PROPN
fuelectenerg-3305	226	113	table	table	PROPN
fuelectenerg-3305	227	1	1	1	NUM
fuelectenerg-3305	227	2	:	:	PUNCT
fuelectenerg-3305	227	3	a	a	DET
fuelectenerg-3305	227	4	part	part	NOUN
fuelectenerg-3305	227	5	of	of	ADP
fuelectenerg-3305	227	6	the	the	DET
fuelectenerg-3305	227	7	classification	classification	NOUN
fuelectenerg-3305	227	8	table	table	NOUN
fuelectenerg-3305	227	9	in	in	ADP
fuelectenerg-3305	227	10	the	the	DET
fuelectenerg-3305	227	11	walsh	walsh	NOUN
fuelectenerg-3305	227	12	classification	classification	NOUN
fuelectenerg-3305	227	13	of	of	ADP
fuelectenerg-3305	227	14	boolean	boolean	ADJ
fuelectenerg-3305	227	15	functions	function	NOUN
fuelectenerg-3305	227	16	for	for	ADP
fuelectenerg-3305	227	17	n	n	PRON
fuelectenerg-3305	227	18	≤	≤	NUM
fuelectenerg-3305	227	19	5	5	NUM
fuelectenerg-3305	227	20	.	.	PUNCT
fuelectenerg-3305	227	21	class	class	NOUN
fuelectenerg-3305	227	22	primary	primary	ADJ
fuelectenerg-3305	227	23	coefficients	coefficient	NOUN
fuelectenerg-3305	227	24	complete	complete	ADJ
fuelectenerg-3305	227	25	spectral	spectral	ADJ
fuelectenerg-3305	227	26	summary	summary	NOUN
fuelectenerg-3305	227	27	30	30	NUM
fuelectenerg-3305	227	28	14	14	NUM
fuelectenerg-3305	227	29	10	10	NUM
fuelectenerg-3305	227	30	10	10	NUM
fuelectenerg-3305	227	31	10	10	NUM
fuelectenerg-3305	227	32	10	10	NUM
fuelectenerg-3305	227	33	6	6	NUM
fuelectenerg-3305	227	34	1×	1×	NUM
fuelectenerg-3305	227	35	14	14	NUM
fuelectenerg-3305	227	36	,	,	PUNCT
fuelectenerg-3305	227	37	5×	5×	NUM
fuelectenerg-3305	227	38	10	10	NUM
fuelectenerg-3305	227	39	,	,	PUNCT
fuelectenerg-3305	227	40	7×	7×	NUM
fuelectenerg-3305	227	41	6	6	NUM
fuelectenerg-3305	227	42	,	,	PUNCT
fuelectenerg-3305	227	43	19×	19×	NUM
fuelectenerg-3305	227	44	2	2	NUM
fuelectenerg-3305	227	45	31	31	NUM
fuelectenerg-3305	227	46	14	14	NUM
fuelectenerg-3305	227	47	10	10	NUM
fuelectenerg-3305	227	48	10	10	NUM
fuelectenerg-3305	227	49	10	10	NUM
fuelectenerg-3305	227	50	6	6	NUM
fuelectenerg-3305	227	51	6	6	NUM
fuelectenerg-3305	227	52	1×	1×	NUM
fuelectenerg-3305	227	53	14	14	NUM
fuelectenerg-3305	227	54	,	,	PUNCT
fuelectenerg-3305	227	55	3×	3×	NUM
fuelectenerg-3305	227	56	10	10	NUM
fuelectenerg-3305	227	57	,	,	PUNCT
fuelectenerg-3305	227	58	13×	13×	NUM
fuelectenerg-3305	227	59	6	6	NUM
fuelectenerg-3305	227	60	,	,	PUNCT
fuelectenerg-3305	227	61	15×	15×	NUM
fuelectenerg-3305	227	62	2	2	NUM
fuelectenerg-3305	227	63	32	32	NUM
fuelectenerg-3305	227	64	14	14	NUM
fuelectenerg-3305	227	65	10	10	NUM
fuelectenerg-3305	227	66	10	10	NUM
fuelectenerg-3305	227	67	6	6	NUM
fuelectenerg-3305	227	68	6	6	NUM
fuelectenerg-3305	227	69	6	6	NUM
fuelectenerg-3305	227	70	1×	1×	NUM
fuelectenerg-3305	227	71	14	14	NUM
fuelectenerg-3305	227	72	,	,	PUNCT
fuelectenerg-3305	227	73	3×	3×	NUM
fuelectenerg-3305	227	74	10	10	NUM
fuelectenerg-3305	227	75	,	,	PUNCT
fuelectenerg-3305	227	76	13×	13×	NUM
fuelectenerg-3305	227	77	6	6	NUM
fuelectenerg-3305	227	78	,	,	PUNCT
fuelectenerg-3305	227	79	15×	15×	NUM
fuelectenerg-3305	227	80	2	2	NUM
fuelectenerg-3305	227	81	33	33	NUM
fuelectenerg-3305	227	82	12	12	NUM
fuelectenerg-3305	227	83	12	12	NUM
fuelectenerg-3305	227	84	12	12	NUM
fuelectenerg-3305	227	85	12	12	NUM
fuelectenerg-3305	227	86	8	8	NUM
fuelectenerg-3305	227	87	4	4	NUM
fuelectenerg-3305	227	88	4×	4×	NOUN
fuelectenerg-3305	227	89	12	12	NUM
fuelectenerg-3305	227	90	,	,	PUNCT
fuelectenerg-3305	227	91	4×	4×	NOUN
fuelectenerg-3305	227	92	8	8	NUM
fuelectenerg-3305	227	93	,	,	PUNCT
fuelectenerg-3305	227	94	12×	12×	NUM
fuelectenerg-3305	227	95	4	4	NUM
fuelectenerg-3305	227	96	,	,	PUNCT
fuelectenerg-3305	227	97	12×	12×	NUM
fuelectenerg-3305	227	98	0	0	NUM
fuelectenerg-3305	227	99	34	34	NUM
fuelectenerg-3305	227	100	12	12	NUM
fuelectenerg-3305	227	101	12	12	NUM
fuelectenerg-3305	227	102	12	12	NUM
fuelectenerg-3305	227	103	12	12	NUM
fuelectenerg-3305	227	104	4	4	NUM
fuelectenerg-3305	227	105	4	4	NUM
fuelectenerg-3305	227	106	4×	4×	NOUN
fuelectenerg-3305	227	107	12	12	NUM
fuelectenerg-3305	227	108	,	,	PUNCT
fuelectenerg-3305	227	109	28×	28×	NUM
fuelectenerg-3305	227	110	4	4	NUM
fuelectenerg-3305	227	111	35	35	NUM
fuelectenerg-3305	227	112	12	12	NUM
fuelectenerg-3305	227	113	12	12	NUM
fuelectenerg-3305	227	114	12	12	NUM
fuelectenerg-3305	227	115	8	8	NUM
fuelectenerg-3305	227	116	8	8	NUM
fuelectenerg-3305	227	117	8	8	NUM
fuelectenerg-3305	227	118	4×	4×	NOUN
fuelectenerg-3305	227	119	12	12	NUM
fuelectenerg-3305	227	120	,	,	PUNCT
fuelectenerg-3305	227	121	4×	4×	NOUN
fuelectenerg-3305	227	122	8	8	NUM
fuelectenerg-3305	227	123	,	,	PUNCT
fuelectenerg-3305	227	124	12×	12×	NUM
fuelectenerg-3305	227	125	4	4	NUM
fuelectenerg-3305	227	126	,	,	PUNCT
fuelectenerg-3305	227	127	12×	12×	NUM
fuelectenerg-3305	227	128	0	0	NUM
fuelectenerg-3305	227	129	36	36	NUM
fuelectenerg-3305	227	130	12	12	NUM
fuelectenerg-3305	227	131	12	12	NUM
fuelectenerg-3305	227	132	12	12	NUM
fuelectenerg-3305	227	133	8	8	NUM
fuelectenerg-3305	227	134	8	8	NUM
fuelectenerg-3305	227	135	8	8	NUM
fuelectenerg-3305	227	136	3×	3×	NUM
fuelectenerg-3305	227	137	12	12	NUM
fuelectenerg-3305	227	138	,	,	PUNCT
fuelectenerg-3305	227	139	6×	6×	NOUN
fuelectenerg-3305	227	140	8	8	NUM
fuelectenerg-3305	227	141	,	,	PUNCT
fuelectenerg-3305	227	142	13×	13×	NUM
fuelectenerg-3305	227	143	4	4	NUM
fuelectenerg-3305	227	144	,	,	PUNCT
fuelectenerg-3305	227	145	10×	10×	NOUN
fuelectenerg-3305	227	146	0	0	NUM
fuelectenerg-3305	227	147	37	37	NUM
fuelectenerg-3305	227	148	12	12	NUM
fuelectenerg-3305	227	149	12	12	NUM
fuelectenerg-3305	227	150	12	12	NUM
fuelectenerg-3305	227	151	4	4	NUM
fuelectenerg-3305	227	152	4	4	NUM
fuelectenerg-3305	227	153	4	4	NUM
fuelectenerg-3305	227	154	4×	4×	NOUN
fuelectenerg-3305	227	155	12	12	NUM
fuelectenerg-3305	227	156	,	,	PUNCT
fuelectenerg-3305	227	157	28×	28×	NUM
fuelectenerg-3305	227	158	4	4	NUM
fuelectenerg-3305	227	159	38	38	NUM
fuelectenerg-3305	227	160	12	12	NUM
fuelectenerg-3305	227	161	12	12	NUM
fuelectenerg-3305	227	162	8	8	NUM
fuelectenerg-3305	227	163	8	8	NUM
fuelectenerg-3305	227	164	8	8	NUM
fuelectenerg-3305	227	165	8	8	NUM
fuelectenerg-3305	227	166	2×	2×	NUM
fuelectenerg-3305	227	167	12	12	NUM
fuelectenerg-3305	227	168	,	,	PUNCT
fuelectenerg-3305	227	169	8×	8×	NOUN
fuelectenerg-3305	227	170	8	8	NUM
fuelectenerg-3305	227	171	,	,	PUNCT
fuelectenerg-3305	227	172	14×	14×	NUM
fuelectenerg-3305	227	173	4	4	NUM
fuelectenerg-3305	227	174	,	,	PUNCT
fuelectenerg-3305	227	175	8×	8×	ADV
fuelectenerg-3305	227	176	0	0	NUM
fuelectenerg-3305	227	177	39	39	NUM
fuelectenerg-3305	227	178	12	12	NUM
fuelectenerg-3305	227	179	12	12	NUM
fuelectenerg-3305	227	180	8	8	NUM
fuelectenerg-3305	227	181	8	8	NUM
fuelectenerg-3305	227	182	8	8	NUM
fuelectenerg-3305	227	183	4	4	NUM
fuelectenerg-3305	227	184	2×	2×	NUM
fuelectenerg-3305	227	185	12	12	NUM
fuelectenerg-3305	227	186	,	,	PUNCT
fuelectenerg-3305	227	187	8×	8×	NOUN
fuelectenerg-3305	227	188	8	8	NUM
fuelectenerg-3305	227	189	,	,	PUNCT
fuelectenerg-3305	227	190	14×	14×	NUM
fuelectenerg-3305	227	191	4	4	NUM
fuelectenerg-3305	227	192	,	,	PUNCT
fuelectenerg-3305	227	193	8×	8×	NOUN
fuelectenerg-3305	227	194	0	0	NUM
fuelectenerg-3305	227	195	40	40	NUM
fuelectenerg-3305	227	196	12	12	NUM
fuelectenerg-3305	227	197	8	8	NUM
fuelectenerg-3305	227	198	8	8	NUM
fuelectenerg-3305	227	199	8	8	NUM
fuelectenerg-3305	227	200	8	8	NUM
fuelectenerg-3305	227	201	8	8	NUM
fuelectenerg-3305	227	202	1×	1×	NUM
fuelectenerg-3305	227	203	12	12	NUM
fuelectenerg-3305	227	204	,	,	PUNCT
fuelectenerg-3305	227	205	10×	10×	NUM
fuelectenerg-3305	227	206	8	8	NUM
fuelectenerg-3305	227	207	,	,	PUNCT
fuelectenerg-3305	227	208	15×	15×	NUM
fuelectenerg-3305	227	209	4	4	NUM
fuelectenerg-3305	227	210	,	,	PUNCT
fuelectenerg-3305	227	211	6×	6×	NOUN
fuelectenerg-3305	227	212	0	0	NUM
fuelectenerg-3305	227	213	41	41	NUM
fuelectenerg-3305	227	214	10	10	NUM
fuelectenerg-3305	227	215	10	10	NUM
fuelectenerg-3305	227	216	10	10	NUM
fuelectenerg-3305	227	217	10	10	NUM
fuelectenerg-3305	227	218	10	10	NUM
fuelectenerg-3305	227	219	10	10	NUM
fuelectenerg-3305	227	220	6×	6×	NUM
fuelectenerg-3305	227	221	10	10	NUM
fuelectenerg-3305	227	222	,	,	PUNCT
fuelectenerg-3305	227	223	10×	10×	NUM
fuelectenerg-3305	227	224	6	6	NUM
fuelectenerg-3305	227	225	,	,	PUNCT
fuelectenerg-3305	227	226	16×	16×	NUM
fuelectenerg-3305	227	227	2	2	NUM
fuelectenerg-3305	227	228	42	42	NUM
fuelectenerg-3305	227	229	10	10	NUM
fuelectenerg-3305	227	230	10	10	NUM
fuelectenerg-3305	227	231	10	10	NUM
fuelectenerg-3305	227	232	10	10	NUM
fuelectenerg-3305	227	233	10	10	NUM
fuelectenerg-3305	227	234	6	6	NUM
fuelectenerg-3305	227	235	6×	6×	NUM
fuelectenerg-3305	227	236	10	10	NUM
fuelectenerg-3305	227	237	,	,	PUNCT
fuelectenerg-3305	227	238	10×	10×	NUM
fuelectenerg-3305	227	239	6	6	NUM
fuelectenerg-3305	227	240	,	,	PUNCT
fuelectenerg-3305	227	241	16×	16×	NUM
fuelectenerg-3305	227	242	2	2	NUM
fuelectenerg-3305	227	243	43	43	NUM
fuelectenerg-3305	227	244	10	10	NUM
fuelectenerg-3305	227	245	10	10	NUM
fuelectenerg-3305	227	246	10	10	NUM
fuelectenerg-3305	227	247	10	10	NUM
fuelectenerg-3305	227	248	10	10	NUM
fuelectenerg-3305	227	249	2	2	NUM
fuelectenerg-3305	227	250	6×	6×	NUM
fuelectenerg-3305	227	251	10	10	NUM
fuelectenerg-3305	227	252	,	,	PUNCT
fuelectenerg-3305	227	253	10×	10×	NUM
fuelectenerg-3305	227	254	6	6	NUM
fuelectenerg-3305	227	255	,	,	PUNCT
fuelectenerg-3305	227	256	16×	16×	NUM
fuelectenerg-3305	227	257	2	2	NUM
fuelectenerg-3305	227	258	44	44	NUM
fuelectenerg-3305	227	259	10	10	NUM
fuelectenerg-3305	227	260	10	10	NUM
fuelectenerg-3305	227	261	10	10	NUM
fuelectenerg-3305	227	262	10	10	NUM
fuelectenerg-3305	227	263	6	6	NUM
fuelectenerg-3305	227	264	6	6	NUM
fuelectenerg-3305	227	265	4×	4×	NOUN
fuelectenerg-3305	227	266	10	10	NUM
fuelectenerg-3305	227	267	,	,	PUNCT
fuelectenerg-3305	227	268	16×	16×	NUM
fuelectenerg-3305	227	269	6	6	NUM
fuelectenerg-3305	227	270	,	,	PUNCT
fuelectenerg-3305	227	271	12×	12×	NUM
fuelectenerg-3305	227	272	2	2	NUM
fuelectenerg-3305	227	273	45a	45a	NUM
fuelectenerg-3305	227	274	8	8	NUM
fuelectenerg-3305	227	275	8	8	NUM
fuelectenerg-3305	227	276	8	8	NUM
fuelectenerg-3305	227	277	8	8	NUM
fuelectenerg-3305	227	278	8	8	NUM
fuelectenerg-3305	227	279	8	8	NUM
fuelectenerg-3305	227	280	16×	16×	NUM
fuelectenerg-3305	227	281	8	8	NUM
fuelectenerg-3305	227	282	,	,	PUNCT
fuelectenerg-3305	227	283	16×	16×	NUM
fuelectenerg-3305	227	284	0	0	NUM
fuelectenerg-3305	227	285	45b	45b	NOUN
fuelectenerg-3305	227	286	8	8	NUM
fuelectenerg-3305	227	287	8	8	NUM
fuelectenerg-3305	227	288	8	8	NUM
fuelectenerg-3305	227	289	8	8	NUM
fuelectenerg-3305	227	290	8	8	NUM
fuelectenerg-3305	227	291	8	8	NUM
fuelectenerg-3305	227	292	16×	16×	NUM
fuelectenerg-3305	227	293	8	8	NUM
fuelectenerg-3305	227	294	,	,	PUNCT
fuelectenerg-3305	227	295	16×	16×	NUM
fuelectenerg-3305	227	296	0	0	NUM
fuelectenerg-3305	227	297	46	46	NUM
fuelectenerg-3305	227	298	8	8	NUM
fuelectenerg-3305	227	299	8	8	NUM
fuelectenerg-3305	227	300	8	8	NUM
fuelectenerg-3305	227	301	8	8	NUM
fuelectenerg-3305	227	302	8	8	NUM
fuelectenerg-3305	227	303	4	4	NUM
fuelectenerg-3305	227	304	12×	12×	NUM
fuelectenerg-3305	227	305	8	8	NUM
fuelectenerg-3305	227	306	,	,	PUNCT
fuelectenerg-3305	227	307	16×	16×	NUM
fuelectenerg-3305	227	308	4	4	NUM
fuelectenerg-3305	227	309	,	,	PUNCT
fuelectenerg-3305	227	310	4×	4×	NOUN
fuelectenerg-3305	227	311	0	0	NUM
fuelectenerg-3305	227	312	47	47	NUM
fuelectenerg-3305	227	313	8	8	NUM
fuelectenerg-3305	227	314	8	8	NUM
fuelectenerg-3305	227	315	8	8	NUM
fuelectenerg-3305	227	316	8	8	NUM
fuelectenerg-3305	227	317	8	8	NUM
fuelectenerg-3305	227	318	0	0	NUM
fuelectenerg-3305	227	319	16×	16×	NUM
fuelectenerg-3305	227	320	8	8	NUM
fuelectenerg-3305	227	321	,	,	PUNCT
fuelectenerg-3305	227	322	16×	16×	NUM
fuelectenerg-3305	227	323	0	0	NUM
fuelectenerg-3305	227	324	•	•	NOUN
fuelectenerg-3305	227	325	the	the	DET
fuelectenerg-3305	227	326	two	two	NUM
fuelectenerg-3305	227	327	entries	entry	NOUN
fuelectenerg-3305	227	328	45a	45a	NOUN
fuelectenerg-3305	227	329	and	and	CCONJ
fuelectenerg-3305	227	330	45b	45b	NOUN
fuelectenerg-3305	227	331	are	be	AUX
fuelectenerg-3305	227	332	the	the	DET
fuelectenerg-3305	227	333	only	only	ADJ
fuelectenerg-3305	227	334	entries	entry	NOUN
fuelectenerg-3305	227	335	for	for	ADP
fuelectenerg-3305	227	336	n	n	DET
fuelectenerg-3305	227	337	≤	≤	NOUN
fuelectenerg-3305	227	338	5	5	NUM
fuelectenerg-3305	227	339	with	with	ADP
fuelectenerg-3305	227	340	equal	equal	ADJ
fuelectenerg-3305	227	341	first	first	ADJ
fuelectenerg-3305	227	342	order	order	NOUN
fuelectenerg-3305	227	343	coefficients	coefficient	VERB
fuelectenerg-3305	227	344	up	up	ADP
fuelectenerg-3305	227	345	to	to	ADP
fuelectenerg-3305	227	346	the	the	DET
fuelectenerg-3305	227	347	ordering	ordering	NOUN
fuelectenerg-3305	227	348	under	under	ADP
fuelectenerg-3305	227	349	spectral	spectral	ADJ
fuelectenerg-3305	227	350	invariant	invariant	ADJ
fuelectenerg-3305	227	351	operations	operation	NOUN
fuelectenerg-3305	227	352	.	.	PUNCT
fuelectenerg-3305	228	1	further	far	ADV
fuelectenerg-3305	228	2	,	,	PUNCT
fuelectenerg-3305	228	3	these	these	DET
fuelectenerg-3305	228	4	functions	function	NOUN
fuelectenerg-3305	228	5	have	have	VERB
fuelectenerg-3305	228	6	the	the	DET
fuelectenerg-3305	228	7	same	same	ADJ
fuelectenerg-3305	228	8	spectral	spectral	ADJ
fuelectenerg-3305	228	9	summaries	summary	NOUN
fuelectenerg-3305	228	10	.	.	PUNCT
fuelectenerg-3305	229	1	however	however	ADV
fuelectenerg-3305	229	2	,	,	PUNCT
fuelectenerg-3305	229	3	it	it	PRON
fuelectenerg-3305	229	4	is	be	AUX
fuelectenerg-3305	229	5	proved	prove	VERB
fuelectenerg-3305	229	6	to	to	PART
fuelectenerg-3305	229	7	be	be	AUX
fuelectenerg-3305	229	8	impossible	impossible	ADJ
fuelectenerg-3305	229	9	to	to	PART
fuelectenerg-3305	229	10	map	map	VERB
fuelectenerg-3305	229	11	a	a	DET
fuelectenerg-3305	229	12	function	function	NOUN
fuelectenerg-3305	229	13	in	in	ADP
fuelectenerg-3305	229	14	the	the	DET
fuelectenerg-3305	229	15	class	class	NOUN
fuelectenerg-3305	229	16	45a	45a	PROPN
fuelectenerg-3305	229	17	into	into	ADP
fuelectenerg-3305	229	18	a	a	DET
fuelectenerg-3305	229	19	function	function	NOUN
fuelectenerg-3305	229	20	in	in	ADP
fuelectenerg-3305	229	21	the	the	DET
fuelectenerg-3305	229	22	class	class	NOUN
fuelectenerg-3305	229	23	45b	45b	NOUN
fuelectenerg-3305	229	24	and	and	CCONJ
fuelectenerg-3305	229	25	vice	vice	NOUN
fuelectenerg-3305	229	26	versa	versa	ADV
fuelectenerg-3305	229	27	by	by	ADP
fuelectenerg-3305	229	28	using	use	VERB
fuelectenerg-3305	229	29	the	the	DET
fuelectenerg-3305	229	30	affine	affine	ADJ
fuelectenerg-3305	229	31	spectral	spectral	ADJ
fuelectenerg-3305	229	32	invariant	invariant	ADJ
fuelectenerg-3305	229	33	operations	operation	NOUN
fuelectenerg-3305	229	34	used	use	VERB
fuelectenerg-3305	229	35	in	in	ADP
fuelectenerg-3305	229	36	this	this	DET
fuelectenerg-3305	229	37	classification	classification	NOUN
fuelectenerg-3305	229	38	[	[	X
fuelectenerg-3305	229	39	12	12	NUM
fuelectenerg-3305	229	40	]	]	PUNCT
fuelectenerg-3305	229	41	.	.	PUNCT
fuelectenerg-3305	230	1	these	these	DET
fuelectenerg-3305	230	2	two	two	NUM
fuelectenerg-3305	230	3	classes	class	NOUN
fuelectenerg-3305	230	4	are	be	AUX
fuelectenerg-3305	230	5	illustrated	illustrate	VERB
fuelectenerg-3305	230	6	by	by	ADP
fuelectenerg-3305	230	7	functions	function	NOUN
fuelectenerg-3305	230	8	shown	show	VERB
fuelectenerg-3305	230	9	in	in	ADP
fuelectenerg-3305	230	10	the	the	DET
fuelectenerg-3305	230	11	karnaugh	karnaugh	PROPN
fuelectenerg-3305	230	12	maps	map	NOUN
fuelectenerg-3305	230	13	in	in	ADP
fuelectenerg-3305	230	14	table	table	NOUN
fuelectenerg-3305	230	15	2	2	NUM
fuelectenerg-3305	230	16	and	and	CCONJ
fuelectenerg-3305	230	17	table	table	NOUN
fuelectenerg-3305	230	18	3	3	NUM
fuelectenerg-3305	230	19	[	[	X
fuelectenerg-3305	230	20	12	12	NUM
fuelectenerg-3305	230	21	]	]	PUNCT
fuelectenerg-3305	230	22	.	.	PUNCT
fuelectenerg-3305	231	1	similar	similar	ADJ
fuelectenerg-3305	231	2	problems	problem	NOUN
fuelectenerg-3305	231	3	in	in	ADP
fuelectenerg-3305	231	4	the	the	DET
fuelectenerg-3305	231	5	walsh	walsh	NOUN
fuelectenerg-3305	231	6	classification	classification	NOUN
fuelectenerg-3305	231	7	using	use	VERB
fuelectenerg-3305	231	8	affine	affine	NOUN
fuelectenerg-3305	231	9	invariant	invariant	ADJ
fuelectenerg-3305	231	10	operations	operation	NOUN
fuelectenerg-3305	231	11	are	be	AUX
fuelectenerg-3305	231	12	mentioned	mention	VERB
fuelectenerg-3305	231	13	by	by	ADP
fuelectenerg-3305	231	14	lechner	lechner	NOUN
fuelectenerg-3305	231	15	in	in	ADP
fuelectenerg-3305	231	16	[	[	X
fuelectenerg-3305	231	17	13	13	NUM
fuelectenerg-3305	231	18	]	]	PUNCT
fuelectenerg-3305	231	19	by	by	ADP
fuelectenerg-3305	231	20	using	use	VERB
fuelectenerg-3305	231	21	a	a	DET
fuelectenerg-3305	231	22	different	different	ADJ
fuelectenerg-3305	231	23	notation	notation	NOUN
fuelectenerg-3305	231	24	as	as	SCONJ
fuelectenerg-3305	231	25	shown	show	VERB
fuelectenerg-3305	231	26	in	in	ADP
fuelectenerg-3305	231	27	table	table	NOUN
fuelectenerg-3305	231	28	4	4	NUM
fuelectenerg-3305	231	29	.	.	PUNCT
fuelectenerg-3305	232	1	in	in	ADP
fuelectenerg-3305	232	2	what	what	PRON
fuelectenerg-3305	232	3	follows	follow	VERB
fuelectenerg-3305	232	4	,	,	PUNCT
fuelectenerg-3305	232	5	we	we	PRON
fuelectenerg-3305	232	6	show	show	VERB
fuelectenerg-3305	232	7	that	that	SCONJ
fuelectenerg-3305	232	8	certain	certain	ADJ
fuelectenerg-3305	232	9	appropriately	appropriately	ADV
fuelectenerg-3305	232	10	defined	define	VERB
fuelectenerg-3305	232	11	spectral	spectral	ADJ
fuelectenerg-3305	232	12	invariant	invariant	ADJ
fuelectenerg-3305	232	13	operations	operation	NOUN
fuelectenerg-3305	232	14	defined	define	VERB
fuelectenerg-3305	232	15	for	for	ADP
fuelectenerg-3305	232	16	functions	function	NOUN
fuelectenerg-3305	232	17	with	with	ADP
fuelectenerg-3305	232	18	disjoint	disjoint	NOUN
fuelectenerg-3305	232	19	products	product	NOUN
fuelectenerg-3305	232	20	of	of	ADP
fuelectenerg-3305	232	21	pairs	pair	NOUN
fuelectenerg-3305	232	22	variables	variable	NOUN
fuelectenerg-3305	232	23	[	[	X
fuelectenerg-3305	232	24	17	17	NUM
fuelectenerg-3305	232	25	]	]	PUNCT
fuelectenerg-3305	232	26	permit	permit	VERB
fuelectenerg-3305	232	27	a	a	DET
fuelectenerg-3305	232	28	refinement	refinement	NOUN
fuelectenerg-3305	232	29	of	of	ADP
fuelectenerg-3305	232	30	this	this	DET
fuelectenerg-3305	232	31	classification	classification	NOUN
fuelectenerg-3305	232	32	in	in	ADP
fuelectenerg-3305	232	33	the	the	DET
fuelectenerg-3305	232	34	sense	sense	NOUN
fuelectenerg-3305	232	35	that	that	SCONJ
fuelectenerg-3305	232	36	these	these	DET
fuelectenerg-3305	232	37	194	194	NUM
fuelectenerg-3305	232	38	m.	m.	NOUN
fuelectenerg-3305	232	39	stanković	stanković	NOUN
fuelectenerg-3305	232	40	,	,	PUNCT
fuelectenerg-3305	232	41	c.	c.	PROPN
fuelectenerg-3305	232	42	moraga	moraga	PROPN
fuelectenerg-3305	232	43	,	,	PUNCT
fuelectenerg-3305	232	44	r.	r.	PROPN
fuelectenerg-3305	232	45	s.	s.	PROPN
fuelectenerg-3305	232	46	stanković	stanković	PROPN
fuelectenerg-3305	232	47	an	an	DET
fuelectenerg-3305	232	48	improved	improved	ADJ
fuelectenerg-3305	232	49	spectral	spectral	ADJ
fuelectenerg-3305	232	50	classification	classification	NOUN
fuelectenerg-3305	232	51	of	of	ADP
fuelectenerg-3305	232	52	boolean	boolean	ADJ
fuelectenerg-3305	232	53	functions	function	NOUN
fuelectenerg-3305	232	54	...	...	PUNCT
fuelectenerg-3305	232	55	195	195	NUM
fuelectenerg-3305	232	56	6	6	NUM
fuelectenerg-3305	232	57	m.	m.	NOUN
fuelectenerg-3305	232	58	stankovic	stankovic	PROPN
fuelectenerg-3305	232	59	,	,	PUNCT
fuelectenerg-3305	232	60	c.	c.	PROPN
fuelectenerg-3305	232	61	moraga	moraga	PROPN
fuelectenerg-3305	232	62	,	,	PUNCT
fuelectenerg-3305	232	63	r.	r.	PROPN
fuelectenerg-3305	232	64	s.	s.	PROPN
fuelectenerg-3305	232	65	stanković	stanković	PROPN
fuelectenerg-3305	232	66	table	table	PROPN
fuelectenerg-3305	233	1	1	1	NUM
fuelectenerg-3305	233	2	:	:	PUNCT
fuelectenerg-3305	233	3	a	a	DET
fuelectenerg-3305	233	4	part	part	NOUN
fuelectenerg-3305	233	5	of	of	ADP
fuelectenerg-3305	233	6	the	the	DET
fuelectenerg-3305	233	7	classification	classification	NOUN
fuelectenerg-3305	233	8	table	table	NOUN
fuelectenerg-3305	233	9	in	in	ADP
fuelectenerg-3305	233	10	the	the	DET
fuelectenerg-3305	233	11	walsh	walsh	NOUN
fuelectenerg-3305	233	12	classification	classification	NOUN
fuelectenerg-3305	233	13	of	of	ADP
fuelectenerg-3305	233	14	boolean	boolean	ADJ
fuelectenerg-3305	233	15	functions	function	NOUN
fuelectenerg-3305	233	16	for	for	ADP
fuelectenerg-3305	233	17	n	n	PRON
fuelectenerg-3305	233	18	≤	≤	NUM
fuelectenerg-3305	233	19	5	5	NUM
fuelectenerg-3305	233	20	.	.	PUNCT
fuelectenerg-3305	233	21	class	class	NOUN
fuelectenerg-3305	233	22	primary	primary	ADJ
fuelectenerg-3305	233	23	coefficients	coefficient	NOUN
fuelectenerg-3305	233	24	complete	complete	ADJ
fuelectenerg-3305	233	25	spectral	spectral	ADJ
fuelectenerg-3305	233	26	summary	summary	NOUN
fuelectenerg-3305	233	27	30	30	NUM
fuelectenerg-3305	233	28	14	14	NUM
fuelectenerg-3305	233	29	10	10	NUM
fuelectenerg-3305	233	30	10	10	NUM
fuelectenerg-3305	233	31	10	10	NUM
fuelectenerg-3305	233	32	10	10	NUM
fuelectenerg-3305	233	33	6	6	NUM
fuelectenerg-3305	233	34	1×	1×	NUM
fuelectenerg-3305	233	35	14	14	NUM
fuelectenerg-3305	233	36	,	,	PUNCT
fuelectenerg-3305	233	37	5×	5×	NUM
fuelectenerg-3305	233	38	10	10	NUM
fuelectenerg-3305	233	39	,	,	PUNCT
fuelectenerg-3305	233	40	7×	7×	NUM
fuelectenerg-3305	233	41	6	6	NUM
fuelectenerg-3305	233	42	,	,	PUNCT
fuelectenerg-3305	233	43	19×	19×	NUM
fuelectenerg-3305	233	44	2	2	NUM
fuelectenerg-3305	233	45	31	31	NUM
fuelectenerg-3305	233	46	14	14	NUM
fuelectenerg-3305	233	47	10	10	NUM
fuelectenerg-3305	233	48	10	10	NUM
fuelectenerg-3305	233	49	10	10	NUM
fuelectenerg-3305	233	50	6	6	NUM
fuelectenerg-3305	233	51	6	6	NUM
fuelectenerg-3305	233	52	1×	1×	NUM
fuelectenerg-3305	233	53	14	14	NUM
fuelectenerg-3305	233	54	,	,	PUNCT
fuelectenerg-3305	233	55	3×	3×	NUM
fuelectenerg-3305	233	56	10	10	NUM
fuelectenerg-3305	233	57	,	,	PUNCT
fuelectenerg-3305	233	58	13×	13×	NUM
fuelectenerg-3305	233	59	6	6	NUM
fuelectenerg-3305	233	60	,	,	PUNCT
fuelectenerg-3305	233	61	15×	15×	NUM
fuelectenerg-3305	233	62	2	2	NUM
fuelectenerg-3305	233	63	32	32	NUM
fuelectenerg-3305	233	64	14	14	NUM
fuelectenerg-3305	233	65	10	10	NUM
fuelectenerg-3305	233	66	10	10	NUM
fuelectenerg-3305	233	67	6	6	NUM
fuelectenerg-3305	233	68	6	6	NUM
fuelectenerg-3305	233	69	6	6	NUM
fuelectenerg-3305	233	70	1×	1×	NUM
fuelectenerg-3305	233	71	14	14	NUM
fuelectenerg-3305	233	72	,	,	PUNCT
fuelectenerg-3305	233	73	3×	3×	NUM
fuelectenerg-3305	233	74	10	10	NUM
fuelectenerg-3305	233	75	,	,	PUNCT
fuelectenerg-3305	233	76	13×	13×	NUM
fuelectenerg-3305	233	77	6	6	NUM
fuelectenerg-3305	233	78	,	,	PUNCT
fuelectenerg-3305	233	79	15×	15×	NUM
fuelectenerg-3305	233	80	2	2	NUM
fuelectenerg-3305	233	81	33	33	NUM
fuelectenerg-3305	233	82	12	12	NUM
fuelectenerg-3305	233	83	12	12	NUM
fuelectenerg-3305	233	84	12	12	NUM
fuelectenerg-3305	233	85	12	12	NUM
fuelectenerg-3305	233	86	8	8	NUM
fuelectenerg-3305	233	87	4	4	NUM
fuelectenerg-3305	233	88	4×	4×	NOUN
fuelectenerg-3305	233	89	12	12	NUM
fuelectenerg-3305	233	90	,	,	PUNCT
fuelectenerg-3305	233	91	4×	4×	NOUN
fuelectenerg-3305	233	92	8	8	NUM
fuelectenerg-3305	233	93	,	,	PUNCT
fuelectenerg-3305	233	94	12×	12×	NUM
fuelectenerg-3305	233	95	4	4	NUM
fuelectenerg-3305	233	96	,	,	PUNCT
fuelectenerg-3305	233	97	12×	12×	NUM
fuelectenerg-3305	233	98	0	0	NUM
fuelectenerg-3305	233	99	34	34	NUM
fuelectenerg-3305	233	100	12	12	NUM
fuelectenerg-3305	233	101	12	12	NUM
fuelectenerg-3305	233	102	12	12	NUM
fuelectenerg-3305	233	103	12	12	NUM
fuelectenerg-3305	233	104	4	4	NUM
fuelectenerg-3305	233	105	4	4	NUM
fuelectenerg-3305	233	106	4×	4×	NOUN
fuelectenerg-3305	233	107	12	12	NUM
fuelectenerg-3305	233	108	,	,	PUNCT
fuelectenerg-3305	233	109	28×	28×	NUM
fuelectenerg-3305	233	110	4	4	NUM
fuelectenerg-3305	233	111	35	35	NUM
fuelectenerg-3305	233	112	12	12	NUM
fuelectenerg-3305	233	113	12	12	NUM
fuelectenerg-3305	233	114	12	12	NUM
fuelectenerg-3305	233	115	8	8	NUM
fuelectenerg-3305	233	116	8	8	NUM
fuelectenerg-3305	233	117	8	8	NUM
fuelectenerg-3305	233	118	4×	4×	NOUN
fuelectenerg-3305	233	119	12	12	NUM
fuelectenerg-3305	233	120	,	,	PUNCT
fuelectenerg-3305	233	121	4×	4×	NOUN
fuelectenerg-3305	233	122	8	8	NUM
fuelectenerg-3305	233	123	,	,	PUNCT
fuelectenerg-3305	233	124	12×	12×	NUM
fuelectenerg-3305	233	125	4	4	NUM
fuelectenerg-3305	233	126	,	,	PUNCT
fuelectenerg-3305	233	127	12×	12×	NUM
fuelectenerg-3305	233	128	0	0	NUM
fuelectenerg-3305	233	129	36	36	NUM
fuelectenerg-3305	233	130	12	12	NUM
fuelectenerg-3305	233	131	12	12	NUM
fuelectenerg-3305	233	132	12	12	NUM
fuelectenerg-3305	233	133	8	8	NUM
fuelectenerg-3305	233	134	8	8	NUM
fuelectenerg-3305	233	135	8	8	NUM
fuelectenerg-3305	233	136	3×	3×	NUM
fuelectenerg-3305	233	137	12	12	NUM
fuelectenerg-3305	233	138	,	,	PUNCT
fuelectenerg-3305	233	139	6×	6×	NOUN
fuelectenerg-3305	233	140	8	8	NUM
fuelectenerg-3305	233	141	,	,	PUNCT
fuelectenerg-3305	233	142	13×	13×	NUM
fuelectenerg-3305	233	143	4	4	NUM
fuelectenerg-3305	233	144	,	,	PUNCT
fuelectenerg-3305	233	145	10×	10×	NOUN
fuelectenerg-3305	233	146	0	0	NUM
fuelectenerg-3305	233	147	37	37	NUM
fuelectenerg-3305	233	148	12	12	NUM
fuelectenerg-3305	233	149	12	12	NUM
fuelectenerg-3305	233	150	12	12	NUM
fuelectenerg-3305	233	151	4	4	NUM
fuelectenerg-3305	233	152	4	4	NUM
fuelectenerg-3305	233	153	4	4	NUM
fuelectenerg-3305	233	154	4×	4×	NOUN
fuelectenerg-3305	233	155	12	12	NUM
fuelectenerg-3305	233	156	,	,	PUNCT
fuelectenerg-3305	233	157	28×	28×	NUM
fuelectenerg-3305	233	158	4	4	NUM
fuelectenerg-3305	233	159	38	38	NUM
fuelectenerg-3305	233	160	12	12	NUM
fuelectenerg-3305	233	161	12	12	NUM
fuelectenerg-3305	233	162	8	8	NUM
fuelectenerg-3305	233	163	8	8	NUM
fuelectenerg-3305	233	164	8	8	NUM
fuelectenerg-3305	233	165	8	8	NUM
fuelectenerg-3305	233	166	2×	2×	NUM
fuelectenerg-3305	233	167	12	12	NUM
fuelectenerg-3305	233	168	,	,	PUNCT
fuelectenerg-3305	233	169	8×	8×	NOUN
fuelectenerg-3305	233	170	8	8	NUM
fuelectenerg-3305	233	171	,	,	PUNCT
fuelectenerg-3305	233	172	14×	14×	NUM
fuelectenerg-3305	233	173	4	4	NUM
fuelectenerg-3305	233	174	,	,	PUNCT
fuelectenerg-3305	233	175	8×	8×	ADV
fuelectenerg-3305	233	176	0	0	NUM
fuelectenerg-3305	233	177	39	39	NUM
fuelectenerg-3305	233	178	12	12	NUM
fuelectenerg-3305	233	179	12	12	NUM
fuelectenerg-3305	233	180	8	8	NUM
fuelectenerg-3305	233	181	8	8	NUM
fuelectenerg-3305	233	182	8	8	NUM
fuelectenerg-3305	233	183	4	4	NUM
fuelectenerg-3305	233	184	2×	2×	NUM
fuelectenerg-3305	233	185	12	12	NUM
fuelectenerg-3305	233	186	,	,	PUNCT
fuelectenerg-3305	233	187	8×	8×	NOUN
fuelectenerg-3305	233	188	8	8	NUM
fuelectenerg-3305	233	189	,	,	PUNCT
fuelectenerg-3305	233	190	14×	14×	NUM
fuelectenerg-3305	233	191	4	4	NUM
fuelectenerg-3305	233	192	,	,	PUNCT
fuelectenerg-3305	233	193	8×	8×	NOUN
fuelectenerg-3305	233	194	0	0	NUM
fuelectenerg-3305	233	195	40	40	NUM
fuelectenerg-3305	233	196	12	12	NUM
fuelectenerg-3305	233	197	8	8	NUM
fuelectenerg-3305	233	198	8	8	NUM
fuelectenerg-3305	233	199	8	8	NUM
fuelectenerg-3305	233	200	8	8	NUM
fuelectenerg-3305	233	201	8	8	NUM
fuelectenerg-3305	233	202	1×	1×	NUM
fuelectenerg-3305	233	203	12	12	NUM
fuelectenerg-3305	233	204	,	,	PUNCT
fuelectenerg-3305	233	205	10×	10×	NUM
fuelectenerg-3305	233	206	8	8	NUM
fuelectenerg-3305	233	207	,	,	PUNCT
fuelectenerg-3305	233	208	15×	15×	NUM
fuelectenerg-3305	233	209	4	4	NUM
fuelectenerg-3305	233	210	,	,	PUNCT
fuelectenerg-3305	233	211	6×	6×	NOUN
fuelectenerg-3305	233	212	0	0	NUM
fuelectenerg-3305	233	213	41	41	NUM
fuelectenerg-3305	233	214	10	10	NUM
fuelectenerg-3305	233	215	10	10	NUM
fuelectenerg-3305	233	216	10	10	NUM
fuelectenerg-3305	233	217	10	10	NUM
fuelectenerg-3305	233	218	10	10	NUM
fuelectenerg-3305	233	219	10	10	NUM
fuelectenerg-3305	233	220	6×	6×	NUM
fuelectenerg-3305	233	221	10	10	NUM
fuelectenerg-3305	233	222	,	,	PUNCT
fuelectenerg-3305	233	223	10×	10×	NUM
fuelectenerg-3305	233	224	6	6	NUM
fuelectenerg-3305	233	225	,	,	PUNCT
fuelectenerg-3305	233	226	16×	16×	NUM
fuelectenerg-3305	233	227	2	2	NUM
fuelectenerg-3305	233	228	42	42	NUM
fuelectenerg-3305	233	229	10	10	NUM
fuelectenerg-3305	233	230	10	10	NUM
fuelectenerg-3305	233	231	10	10	NUM
fuelectenerg-3305	233	232	10	10	NUM
fuelectenerg-3305	233	233	10	10	NUM
fuelectenerg-3305	233	234	6	6	NUM
fuelectenerg-3305	233	235	6×	6×	NUM
fuelectenerg-3305	233	236	10	10	NUM
fuelectenerg-3305	233	237	,	,	PUNCT
fuelectenerg-3305	233	238	10×	10×	NUM
fuelectenerg-3305	233	239	6	6	NUM
fuelectenerg-3305	233	240	,	,	PUNCT
fuelectenerg-3305	233	241	16×	16×	NUM
fuelectenerg-3305	233	242	2	2	NUM
fuelectenerg-3305	233	243	43	43	NUM
fuelectenerg-3305	233	244	10	10	NUM
fuelectenerg-3305	233	245	10	10	NUM
fuelectenerg-3305	233	246	10	10	NUM
fuelectenerg-3305	233	247	10	10	NUM
fuelectenerg-3305	233	248	10	10	NUM
fuelectenerg-3305	233	249	2	2	NUM
fuelectenerg-3305	233	250	6×	6×	NUM
fuelectenerg-3305	233	251	10	10	NUM
fuelectenerg-3305	233	252	,	,	PUNCT
fuelectenerg-3305	233	253	10×	10×	NUM
fuelectenerg-3305	233	254	6	6	NUM
fuelectenerg-3305	233	255	,	,	PUNCT
fuelectenerg-3305	233	256	16×	16×	NUM
fuelectenerg-3305	233	257	2	2	NUM
fuelectenerg-3305	233	258	44	44	NUM
fuelectenerg-3305	233	259	10	10	NUM
fuelectenerg-3305	233	260	10	10	NUM
fuelectenerg-3305	233	261	10	10	NUM
fuelectenerg-3305	233	262	10	10	NUM
fuelectenerg-3305	233	263	6	6	NUM
fuelectenerg-3305	233	264	6	6	NUM
fuelectenerg-3305	233	265	4×	4×	NOUN
fuelectenerg-3305	233	266	10	10	NUM
fuelectenerg-3305	233	267	,	,	PUNCT
fuelectenerg-3305	233	268	16×	16×	NUM
fuelectenerg-3305	233	269	6	6	NUM
fuelectenerg-3305	233	270	,	,	PUNCT
fuelectenerg-3305	233	271	12×	12×	NUM
fuelectenerg-3305	233	272	2	2	NUM
fuelectenerg-3305	233	273	45a	45a	NUM
fuelectenerg-3305	233	274	8	8	NUM
fuelectenerg-3305	233	275	8	8	NUM
fuelectenerg-3305	233	276	8	8	NUM
fuelectenerg-3305	233	277	8	8	NUM
fuelectenerg-3305	233	278	8	8	NUM
fuelectenerg-3305	233	279	8	8	NUM
fuelectenerg-3305	233	280	16×	16×	NUM
fuelectenerg-3305	233	281	8	8	NUM
fuelectenerg-3305	233	282	,	,	PUNCT
fuelectenerg-3305	233	283	16×	16×	NUM
fuelectenerg-3305	233	284	0	0	NUM
fuelectenerg-3305	233	285	45b	45b	NOUN
fuelectenerg-3305	233	286	8	8	NUM
fuelectenerg-3305	233	287	8	8	NUM
fuelectenerg-3305	233	288	8	8	NUM
fuelectenerg-3305	233	289	8	8	NUM
fuelectenerg-3305	233	290	8	8	NUM
fuelectenerg-3305	233	291	8	8	NUM
fuelectenerg-3305	233	292	16×	16×	NUM
fuelectenerg-3305	233	293	8	8	NUM
fuelectenerg-3305	233	294	,	,	PUNCT
fuelectenerg-3305	233	295	16×	16×	NUM
fuelectenerg-3305	233	296	0	0	NUM
fuelectenerg-3305	233	297	46	46	NUM
fuelectenerg-3305	233	298	8	8	NUM
fuelectenerg-3305	233	299	8	8	NUM
fuelectenerg-3305	233	300	8	8	NUM
fuelectenerg-3305	233	301	8	8	NUM
fuelectenerg-3305	233	302	8	8	NUM
fuelectenerg-3305	233	303	4	4	NUM
fuelectenerg-3305	233	304	12×	12×	NUM
fuelectenerg-3305	233	305	8	8	NUM
fuelectenerg-3305	233	306	,	,	PUNCT
fuelectenerg-3305	233	307	16×	16×	NUM
fuelectenerg-3305	233	308	4	4	NUM
fuelectenerg-3305	233	309	,	,	PUNCT
fuelectenerg-3305	233	310	4×	4×	NOUN
fuelectenerg-3305	233	311	0	0	NUM
fuelectenerg-3305	233	312	47	47	NUM
fuelectenerg-3305	233	313	8	8	NUM
fuelectenerg-3305	233	314	8	8	NUM
fuelectenerg-3305	233	315	8	8	NUM
fuelectenerg-3305	233	316	8	8	NUM
fuelectenerg-3305	233	317	8	8	NUM
fuelectenerg-3305	233	318	0	0	NUM
fuelectenerg-3305	233	319	16×	16×	NUM
fuelectenerg-3305	233	320	8	8	NUM
fuelectenerg-3305	233	321	,	,	PUNCT
fuelectenerg-3305	233	322	16×	16×	NUM
fuelectenerg-3305	233	323	0	0	NUM
fuelectenerg-3305	233	324	•	•	NOUN
fuelectenerg-3305	233	325	the	the	DET
fuelectenerg-3305	233	326	two	two	NUM
fuelectenerg-3305	233	327	entries	entry	NOUN
fuelectenerg-3305	233	328	45a	45a	NOUN
fuelectenerg-3305	233	329	and	and	CCONJ
fuelectenerg-3305	233	330	45b	45b	NOUN
fuelectenerg-3305	233	331	are	be	AUX
fuelectenerg-3305	233	332	the	the	DET
fuelectenerg-3305	233	333	only	only	ADJ
fuelectenerg-3305	233	334	entries	entry	NOUN
fuelectenerg-3305	233	335	for	for	ADP
fuelectenerg-3305	233	336	n	n	DET
fuelectenerg-3305	233	337	≤	≤	NOUN
fuelectenerg-3305	233	338	5	5	NUM
fuelectenerg-3305	233	339	with	with	ADP
fuelectenerg-3305	233	340	equal	equal	ADJ
fuelectenerg-3305	233	341	first	first	ADJ
fuelectenerg-3305	233	342	order	order	NOUN
fuelectenerg-3305	233	343	coefficients	coefficient	VERB
fuelectenerg-3305	233	344	up	up	ADP
fuelectenerg-3305	233	345	to	to	ADP
fuelectenerg-3305	233	346	the	the	DET
fuelectenerg-3305	233	347	ordering	ordering	NOUN
fuelectenerg-3305	233	348	under	under	ADP
fuelectenerg-3305	233	349	spectral	spectral	ADJ
fuelectenerg-3305	233	350	invariant	invariant	ADJ
fuelectenerg-3305	233	351	operations	operation	NOUN
fuelectenerg-3305	233	352	.	.	PUNCT
fuelectenerg-3305	234	1	further	far	ADV
fuelectenerg-3305	234	2	,	,	PUNCT
fuelectenerg-3305	234	3	these	these	DET
fuelectenerg-3305	234	4	functions	function	NOUN
fuelectenerg-3305	234	5	have	have	VERB
fuelectenerg-3305	234	6	the	the	DET
fuelectenerg-3305	234	7	same	same	ADJ
fuelectenerg-3305	234	8	spectral	spectral	ADJ
fuelectenerg-3305	234	9	summaries	summary	NOUN
fuelectenerg-3305	234	10	.	.	PUNCT
fuelectenerg-3305	235	1	however	however	ADV
fuelectenerg-3305	235	2	,	,	PUNCT
fuelectenerg-3305	235	3	it	it	PRON
fuelectenerg-3305	235	4	is	be	AUX
fuelectenerg-3305	235	5	proved	prove	VERB
fuelectenerg-3305	235	6	to	to	PART
fuelectenerg-3305	235	7	be	be	AUX
fuelectenerg-3305	235	8	impossible	impossible	ADJ
fuelectenerg-3305	235	9	to	to	PART
fuelectenerg-3305	235	10	map	map	VERB
fuelectenerg-3305	235	11	a	a	DET
fuelectenerg-3305	235	12	function	function	NOUN
fuelectenerg-3305	235	13	in	in	ADP
fuelectenerg-3305	235	14	the	the	DET
fuelectenerg-3305	235	15	class	class	NOUN
fuelectenerg-3305	235	16	45a	45a	PROPN
fuelectenerg-3305	235	17	into	into	ADP
fuelectenerg-3305	235	18	a	a	DET
fuelectenerg-3305	235	19	function	function	NOUN
fuelectenerg-3305	235	20	in	in	ADP
fuelectenerg-3305	235	21	the	the	DET
fuelectenerg-3305	235	22	class	class	NOUN
fuelectenerg-3305	235	23	45b	45b	NOUN
fuelectenerg-3305	235	24	and	and	CCONJ
fuelectenerg-3305	235	25	vice	vice	NOUN
fuelectenerg-3305	235	26	versa	versa	ADV
fuelectenerg-3305	235	27	by	by	ADP
fuelectenerg-3305	235	28	using	use	VERB
fuelectenerg-3305	235	29	the	the	DET
fuelectenerg-3305	235	30	affine	affine	ADJ
fuelectenerg-3305	235	31	spectral	spectral	ADJ
fuelectenerg-3305	235	32	invariant	invariant	ADJ
fuelectenerg-3305	235	33	operations	operation	NOUN
fuelectenerg-3305	235	34	used	use	VERB
fuelectenerg-3305	235	35	in	in	ADP
fuelectenerg-3305	235	36	this	this	DET
fuelectenerg-3305	235	37	classification	classification	NOUN
fuelectenerg-3305	235	38	[	[	X
fuelectenerg-3305	235	39	12	12	NUM
fuelectenerg-3305	235	40	]	]	PUNCT
fuelectenerg-3305	235	41	.	.	PUNCT
fuelectenerg-3305	236	1	these	these	DET
fuelectenerg-3305	236	2	two	two	NUM
fuelectenerg-3305	236	3	classes	class	NOUN
fuelectenerg-3305	236	4	are	be	AUX
fuelectenerg-3305	236	5	illustrated	illustrate	VERB
fuelectenerg-3305	236	6	by	by	ADP
fuelectenerg-3305	236	7	functions	function	NOUN
fuelectenerg-3305	236	8	shown	show	VERB
fuelectenerg-3305	236	9	in	in	ADP
fuelectenerg-3305	236	10	the	the	DET
fuelectenerg-3305	236	11	karnaugh	karnaugh	PROPN
fuelectenerg-3305	236	12	maps	map	NOUN
fuelectenerg-3305	236	13	in	in	ADP
fuelectenerg-3305	236	14	table	table	NOUN
fuelectenerg-3305	236	15	2	2	NUM
fuelectenerg-3305	236	16	and	and	CCONJ
fuelectenerg-3305	236	17	table	table	NOUN
fuelectenerg-3305	236	18	3	3	NUM
fuelectenerg-3305	236	19	[	[	X
fuelectenerg-3305	236	20	12	12	NUM
fuelectenerg-3305	236	21	]	]	PUNCT
fuelectenerg-3305	236	22	.	.	PUNCT
fuelectenerg-3305	237	1	similar	similar	ADJ
fuelectenerg-3305	237	2	problems	problem	NOUN
fuelectenerg-3305	237	3	in	in	ADP
fuelectenerg-3305	237	4	the	the	DET
fuelectenerg-3305	237	5	walsh	walsh	NOUN
fuelectenerg-3305	237	6	classification	classification	NOUN
fuelectenerg-3305	237	7	using	use	VERB
fuelectenerg-3305	237	8	affine	affine	NOUN
fuelectenerg-3305	237	9	invariant	invariant	ADJ
fuelectenerg-3305	237	10	operations	operation	NOUN
fuelectenerg-3305	237	11	are	be	AUX
fuelectenerg-3305	237	12	mentioned	mention	VERB
fuelectenerg-3305	237	13	by	by	ADP
fuelectenerg-3305	237	14	lechner	lechner	NOUN
fuelectenerg-3305	237	15	in	in	ADP
fuelectenerg-3305	237	16	[	[	X
fuelectenerg-3305	237	17	13	13	NUM
fuelectenerg-3305	237	18	]	]	PUNCT
fuelectenerg-3305	237	19	by	by	ADP
fuelectenerg-3305	237	20	using	use	VERB
fuelectenerg-3305	237	21	a	a	DET
fuelectenerg-3305	237	22	different	different	ADJ
fuelectenerg-3305	237	23	notation	notation	NOUN
fuelectenerg-3305	237	24	as	as	SCONJ
fuelectenerg-3305	237	25	shown	show	VERB
fuelectenerg-3305	237	26	in	in	ADP
fuelectenerg-3305	237	27	table	table	NOUN
fuelectenerg-3305	237	28	4	4	NUM
fuelectenerg-3305	237	29	.	.	PUNCT
fuelectenerg-3305	238	1	in	in	ADP
fuelectenerg-3305	238	2	what	what	PRON
fuelectenerg-3305	238	3	follows	follow	VERB
fuelectenerg-3305	238	4	,	,	PUNCT
fuelectenerg-3305	238	5	we	we	PRON
fuelectenerg-3305	238	6	show	show	VERB
fuelectenerg-3305	238	7	that	that	SCONJ
fuelectenerg-3305	238	8	certain	certain	ADJ
fuelectenerg-3305	238	9	appropriately	appropriately	ADV
fuelectenerg-3305	238	10	defined	define	VERB
fuelectenerg-3305	238	11	spectral	spectral	ADJ
fuelectenerg-3305	238	12	invariant	invariant	ADJ
fuelectenerg-3305	238	13	operations	operation	NOUN
fuelectenerg-3305	238	14	defined	define	VERB
fuelectenerg-3305	238	15	for	for	ADP
fuelectenerg-3305	238	16	functions	function	NOUN
fuelectenerg-3305	238	17	with	with	ADP
fuelectenerg-3305	238	18	disjoint	disjoint	NOUN
fuelectenerg-3305	238	19	products	product	NOUN
fuelectenerg-3305	238	20	of	of	ADP
fuelectenerg-3305	238	21	pairs	pair	NOUN
fuelectenerg-3305	238	22	variables	variable	NOUN
fuelectenerg-3305	238	23	[	[	X
fuelectenerg-3305	238	24	17	17	NUM
fuelectenerg-3305	238	25	]	]	PUNCT
fuelectenerg-3305	238	26	permit	permit	VERB
fuelectenerg-3305	238	27	a	a	DET
fuelectenerg-3305	238	28	refinement	refinement	NOUN
fuelectenerg-3305	238	29	of	of	ADP
fuelectenerg-3305	238	30	this	this	DET
fuelectenerg-3305	238	31	classification	classification	NOUN
fuelectenerg-3305	238	32	in	in	ADP
fuelectenerg-3305	238	33	the	the	DET
fuelectenerg-3305	238	34	sense	sense	NOUN
fuelectenerg-3305	238	35	that	that	SCONJ
fuelectenerg-3305	238	36	these	these	DET
fuelectenerg-3305	238	37	an	an	DET
fuelectenerg-3305	238	38	improved	improved	ADJ
fuelectenerg-3305	238	39	spectral	spectral	ADJ
fuelectenerg-3305	238	40	classification	classification	NOUN
fuelectenerg-3305	238	41	of	of	ADP
fuelectenerg-3305	238	42	boolean	boolean	ADJ
fuelectenerg-3305	238	43	functions	function	NOUN
fuelectenerg-3305	238	44	...	...	PUNCT
fuelectenerg-3305	238	45	7	7	NUM
fuelectenerg-3305	238	46	table	table	NOUN
fuelectenerg-3305	238	47	2	2	NUM
fuelectenerg-3305	238	48	:	:	PUNCT
fuelectenerg-3305	238	49	a	a	DET
fuelectenerg-3305	238	50	function	function	NOUN
fuelectenerg-3305	238	51	from	from	ADP
fuelectenerg-3305	238	52	the	the	DET
fuelectenerg-3305	238	53	class	class	NOUN
fuelectenerg-3305	238	54	45a	45a	PROPN
fuelectenerg-3305	238	55	.	.	PUNCT
fuelectenerg-3305	239	1	x2x3	x2x3	PROPN
fuelectenerg-3305	240	1	x4x5	x4x5	PROPN
fuelectenerg-3305	240	2	00	00	NUM
fuelectenerg-3305	240	3	01	01	NUM
fuelectenerg-3305	240	4	11	11	NUM
fuelectenerg-3305	240	5	10	10	NUM
fuelectenerg-3305	240	6	00	00	NUM
fuelectenerg-3305	240	7	01	01	NUM
fuelectenerg-3305	240	8	11	11	NUM
fuelectenerg-3305	240	9	10	10	NUM
fuelectenerg-3305	240	10	00	00	NUM
fuelectenerg-3305	240	11	0	0	NUM
fuelectenerg-3305	240	12	0	0	NUM
fuelectenerg-3305	240	13	0	0	NUM
fuelectenerg-3305	240	14	0	0	NUM
fuelectenerg-3305	240	15	0	0	NUM
fuelectenerg-3305	240	16	0	0	NUM
fuelectenerg-3305	240	17	1	1	NUM
fuelectenerg-3305	240	18	0	0	NUM
fuelectenerg-3305	240	19	01	01	NUM
fuelectenerg-3305	240	20	0	0	NUM
fuelectenerg-3305	240	21	0	0	NUM
fuelectenerg-3305	240	22	1	1	NUM
fuelectenerg-3305	240	23	1	1	NUM
fuelectenerg-3305	240	24	0	0	NUM
fuelectenerg-3305	240	25	0	0	NUM
fuelectenerg-3305	240	26	1	1	NUM
fuelectenerg-3305	240	27	0	0	NUM
fuelectenerg-3305	240	28	11	11	NUM
fuelectenerg-3305	240	29	0	0	NUM
fuelectenerg-3305	240	30	0	0	NUM
fuelectenerg-3305	240	31	1	1	NUM
fuelectenerg-3305	240	32	1	1	NUM
fuelectenerg-3305	240	33	1	1	NUM
fuelectenerg-3305	240	34	1	1	NUM
fuelectenerg-3305	240	35	1	1	NUM
fuelectenerg-3305	240	36	0	0	NUM
fuelectenerg-3305	240	37	10	10	NUM
fuelectenerg-3305	240	38	0	0	NUM
fuelectenerg-3305	240	39	0	0	NUM
fuelectenerg-3305	240	40	0	0	NUM
fuelectenerg-3305	240	41	0	0	NUM
fuelectenerg-3305	240	42	1	1	NUM
fuelectenerg-3305	240	43	1	1	NUM
fuelectenerg-3305	240	44	1	1	NUM
fuelectenerg-3305	240	45	0	0	NUM
fuelectenerg-3305	240	46	x1	x1	NOUN
fuelectenerg-3305	240	47	=	=	SYM
fuelectenerg-3305	240	48	0	0	PUNCT
fuelectenerg-3305	241	1	x1	x1	NOUN
fuelectenerg-3305	241	2	=	=	SYM
fuelectenerg-3305	241	3	1	1	NUM
fuelectenerg-3305	241	4	table	table	NOUN
fuelectenerg-3305	241	5	3	3	NUM
fuelectenerg-3305	241	6	:	:	PUNCT
fuelectenerg-3305	241	7	a	a	DET
fuelectenerg-3305	241	8	function	function	NOUN
fuelectenerg-3305	241	9	from	from	ADP
fuelectenerg-3305	241	10	the	the	DET
fuelectenerg-3305	241	11	class	class	NOUN
fuelectenerg-3305	241	12	45b	45b	NOUN
fuelectenerg-3305	241	13	.	.	PUNCT
fuelectenerg-3305	242	1	x2x3	x2x3	PROPN
fuelectenerg-3305	243	1	x4x5	x4x5	PROPN
fuelectenerg-3305	243	2	00	00	NUM
fuelectenerg-3305	243	3	01	01	NUM
fuelectenerg-3305	243	4	11	11	NUM
fuelectenerg-3305	243	5	10	10	NUM
fuelectenerg-3305	243	6	00	00	NUM
fuelectenerg-3305	243	7	01	01	NUM
fuelectenerg-3305	243	8	11	11	NUM
fuelectenerg-3305	243	9	10	10	NUM
fuelectenerg-3305	243	10	00	00	NUM
fuelectenerg-3305	243	11	0	0	NUM
fuelectenerg-3305	243	12	0	0	NUM
fuelectenerg-3305	243	13	0	0	NUM
fuelectenerg-3305	243	14	0	0	NUM
fuelectenerg-3305	243	15	0	0	NUM
fuelectenerg-3305	243	16	0	0	NUM
fuelectenerg-3305	243	17	1	1	NUM
fuelectenerg-3305	243	18	0	0	NUM
fuelectenerg-3305	243	19	01	01	NUM
fuelectenerg-3305	243	20	0	0	NUM
fuelectenerg-3305	243	21	0	0	NUM
fuelectenerg-3305	243	22	0	0	NUM
fuelectenerg-3305	243	23	0	0	NUM
fuelectenerg-3305	243	24	0	0	NUM
fuelectenerg-3305	243	25	1	1	NUM
fuelectenerg-3305	243	26	1	1	NUM
fuelectenerg-3305	243	27	1	1	NUM
fuelectenerg-3305	243	28	11	11	NUM
fuelectenerg-3305	243	29	0	0	NUM
fuelectenerg-3305	243	30	0	0	NUM
fuelectenerg-3305	243	31	1	1	NUM
fuelectenerg-3305	243	32	1	1	NUM
fuelectenerg-3305	243	33	0	0	NUM
fuelectenerg-3305	243	34	1	1	NUM
fuelectenerg-3305	243	35	1	1	NUM
fuelectenerg-3305	243	36	1	1	NUM
fuelectenerg-3305	243	37	10	10	NUM
fuelectenerg-3305	243	38	0	0	NUM
fuelectenerg-3305	243	39	1	1	NUM
fuelectenerg-3305	243	40	0	0	NUM
fuelectenerg-3305	243	41	1	1	NUM
fuelectenerg-3305	243	42	0	0	NUM
fuelectenerg-3305	243	43	1	1	NUM
fuelectenerg-3305	243	44	1	1	NUM
fuelectenerg-3305	243	45	0	0	NUM
fuelectenerg-3305	243	46	x1	x1	NOUN
fuelectenerg-3305	243	47	=	=	SYM
fuelectenerg-3305	243	48	0	0	PUNCT
fuelectenerg-3305	244	1	x1	x1	NOUN
fuelectenerg-3305	244	2	=	=	SYM
fuelectenerg-3305	244	3	1	1	NUM
fuelectenerg-3305	244	4	classes	class	NOUN
fuelectenerg-3305	244	5	,	,	PUNCT
fuelectenerg-3305	244	6	which	which	PRON
fuelectenerg-3305	244	7	are	be	AUX
fuelectenerg-3305	244	8	considered	consider	VERB
fuelectenerg-3305	244	9	as	as	ADV
fuelectenerg-3305	244	10	related	related	ADJ
fuelectenerg-3305	244	11	but	but	CCONJ
fuelectenerg-3305	244	12	different	different	ADJ
fuelectenerg-3305	244	13	,	,	PUNCT
fuelectenerg-3305	244	14	can	can	AUX
fuelectenerg-3305	244	15	be	be	AUX
fuelectenerg-3305	244	16	unified	unify	VERB
fuelectenerg-3305	244	17	.	.	PUNCT
fuelectenerg-3305	245	1	we	we	PRON
fuelectenerg-3305	245	2	introduce	introduce	VERB
fuelectenerg-3305	245	3	a	a	DET
fuelectenerg-3305	245	4	new	new	ADJ
fuelectenerg-3305	245	5	spectral	spectral	ADJ
fuelectenerg-3305	245	6	invariant	invariant	ADJ
fuelectenerg-3305	245	7	operation	operation	NOUN
fuelectenerg-3305	245	8	that	that	PRON
fuelectenerg-3305	245	9	permits	permit	VERB
fuelectenerg-3305	245	10	to	to	PART
fuelectenerg-3305	245	11	convert	convert	VERB
fuelectenerg-3305	245	12	functions	function	NOUN
fuelectenerg-3305	245	13	from	from	ADP
fuelectenerg-3305	245	14	these	these	DET
fuelectenerg-3305	245	15	two	two	NUM
fuelectenerg-3305	245	16	classes	class	NOUN
fuelectenerg-3305	245	17	to	to	ADP
fuelectenerg-3305	245	18	each	each	DET
fuelectenerg-3305	245	19	other	other	ADJ
fuelectenerg-3305	245	20	,	,	PUNCT
fuelectenerg-3305	245	21	meaning	mean	VERB
fuelectenerg-3305	245	22	that	that	SCONJ
fuelectenerg-3305	245	23	they	they	PRON
fuelectenerg-3305	245	24	belong	belong	VERB
fuelectenerg-3305	245	25	to	to	ADP
fuelectenerg-3305	245	26	the	the	DET
fuelectenerg-3305	245	27	same	same	ADJ
fuelectenerg-3305	245	28	class	class	NOUN
fuelectenerg-3305	245	29	under	under	ADP
fuelectenerg-3305	245	30	this	this	DET
fuelectenerg-3305	245	31	new	new	ADJ
fuelectenerg-3305	245	32	operation	operation	NOUN
fuelectenerg-3305	245	33	being	be	AUX
fuelectenerg-3305	245	34	added	add	VERB
fuelectenerg-3305	245	35	to	to	ADP
fuelectenerg-3305	245	36	the	the	DET
fuelectenerg-3305	245	37	classification	classification	NOUN
fuelectenerg-3305	245	38	rules	rule	NOUN
fuelectenerg-3305	245	39	.	.	PUNCT
fuelectenerg-3305	246	1	table	table	NOUN
fuelectenerg-3305	246	2	4	4	NUM
fuelectenerg-3305	246	3	:	:	PUNCT
fuelectenerg-3305	246	4	correspondence	correspondence	NOUN
fuelectenerg-3305	246	5	between	between	ADP
fuelectenerg-3305	246	6	notations	notation	NOUN
fuelectenerg-3305	246	7	of	of	ADP
fuelectenerg-3305	246	8	walsh	walsh	NOUN
fuelectenerg-3305	246	9	classes	class	NOUN
fuelectenerg-3305	246	10	used	use	VERB
fuelectenerg-3305	246	11	by	by	ADP
fuelectenerg-3305	246	12	hurst	hurst	PROPN
fuelectenerg-3305	246	13	and	and	CCONJ
fuelectenerg-3305	246	14	lechner	lechner	PROPN
fuelectenerg-3305	246	15	.	.	PUNCT
fuelectenerg-3305	247	1	hurst	hurst	PROPN
fuelectenerg-3305	247	2	’s	’s	PROPN
fuelectenerg-3305	247	3	classes	classes	PROPN
fuelectenerg-3305	247	4	lechner	lechner	PROPN
fuelectenerg-3305	247	5	’s	’s	PART
fuelectenerg-3305	247	6	classes	class	NOUN
fuelectenerg-3305	247	7	functions	function	VERB
fuelectenerg-3305	247	8	31	31	NUM
fuelectenerg-3305	247	9	,	,	PUNCT
fuelectenerg-3305	247	10	32	32	NUM
fuelectenerg-3305	247	11	classes	class	NOUN
fuelectenerg-3305	247	12	30a	30a	NOUN
fuelectenerg-3305	247	13	,	,	PUNCT
fuelectenerg-3305	247	14	30b	30b	NUM
fuelectenerg-3305	247	15	functions	function	NOUN
fuelectenerg-3305	247	16	33	33	NUM
fuelectenerg-3305	247	17	,	,	PUNCT
fuelectenerg-3305	247	18	35	35	NUM
fuelectenerg-3305	247	19	classes	class	NOUN
fuelectenerg-3305	247	20	32a	32a	NOUN
fuelectenerg-3305	247	21	,	,	PUNCT
fuelectenerg-3305	247	22	32b	32b	NOUN
fuelectenerg-3305	247	23	functions	function	NOUN
fuelectenerg-3305	247	24	34	34	NUM
fuelectenerg-3305	247	25	,	,	PUNCT
fuelectenerg-3305	247	26	37	37	NUM
fuelectenerg-3305	247	27	classes	class	NOUN
fuelectenerg-3305	247	28	33a	33a	NUM
fuelectenerg-3305	247	29	,	,	PUNCT
fuelectenerg-3305	247	30	33b	33b	NOUN
fuelectenerg-3305	247	31	functions	function	NOUN
fuelectenerg-3305	247	32	38	38	NUM
fuelectenerg-3305	247	33	,	,	PUNCT
fuelectenerg-3305	247	34	39	39	NUM
fuelectenerg-3305	247	35	classes	class	NOUN
fuelectenerg-3305	247	36	35a	35a	NOUN
fuelectenerg-3305	247	37	,	,	PUNCT
fuelectenerg-3305	247	38	35b	35b	NOUN
fuelectenerg-3305	247	39	functions	function	NOUN
fuelectenerg-3305	247	40	41	41	NUM
fuelectenerg-3305	247	41	,	,	PUNCT
fuelectenerg-3305	247	42	43	43	NUM
fuelectenerg-3305	247	43	classes	class	NOUN
fuelectenerg-3305	247	44	37a	37a	NOUN
fuelectenerg-3305	247	45	,	,	PUNCT
fuelectenerg-3305	247	46	37b	37b	NOUN
fuelectenerg-3305	247	47	functions	function	NOUN
fuelectenerg-3305	247	48	45a	45a	NOUN
fuelectenerg-3305	247	49	,	,	PUNCT
fuelectenerg-3305	247	50	45b	45b	NUM
fuelectenerg-3305	247	51	47	47	NUM
fuelectenerg-3305	247	52	classes	class	NOUN
fuelectenerg-3305	247	53	39a	39a	NOUN
fuelectenerg-3305	247	54	,	,	PUNCT
fuelectenerg-3305	247	55	39b	39b	NOUN
fuelectenerg-3305	247	56	functions	function	VERB
fuelectenerg-3305	247	57	42	42	NUM
fuelectenerg-3305	247	58	not	not	PART
fuelectenerg-3305	247	59	illustrated	illustrate	VERB
fuelectenerg-3305	247	60	by	by	ADP
fuelectenerg-3305	247	61	lechner	lechner	NOUN
fuelectenerg-3305	247	62	194	194	NUM
fuelectenerg-3305	247	63	m.	m.	NOUN
fuelectenerg-3305	247	64	stanković	stanković	NOUN
fuelectenerg-3305	247	65	,	,	PUNCT
fuelectenerg-3305	247	66	c.	c.	PROPN
fuelectenerg-3305	247	67	moraga	moraga	PROPN
fuelectenerg-3305	247	68	,	,	PUNCT
fuelectenerg-3305	247	69	r.	r.	PROPN
fuelectenerg-3305	247	70	s.	s.	PROPN
fuelectenerg-3305	247	71	stanković	stanković	PROPN
fuelectenerg-3305	247	72	an	an	DET
fuelectenerg-3305	247	73	improved	improved	ADJ
fuelectenerg-3305	247	74	spectral	spectral	ADJ
fuelectenerg-3305	247	75	classification	classification	NOUN
fuelectenerg-3305	247	76	of	of	ADP
fuelectenerg-3305	247	77	boolean	boolean	ADJ
fuelectenerg-3305	247	78	functions	function	NOUN
fuelectenerg-3305	247	79	...	...	PUNCT
fuelectenerg-3305	247	80	195	195	NUM
fuelectenerg-3305	247	81	8	8	NUM
fuelectenerg-3305	247	82	m.	m.	NOUN
fuelectenerg-3305	247	83	stankovic	stankovic	PROPN
fuelectenerg-3305	247	84	,	,	PUNCT
fuelectenerg-3305	247	85	c.	c.	PROPN
fuelectenerg-3305	247	86	moraga	moraga	PROPN
fuelectenerg-3305	247	87	,	,	PUNCT
fuelectenerg-3305	247	88	r.	r.	PROPN
fuelectenerg-3305	247	89	s.	s.	PROPN
fuelectenerg-3305	247	90	stanković	stanković	PROPN
fuelectenerg-3305	248	1	3	3	NUM
fuelectenerg-3305	248	2	new	new	ADJ
fuelectenerg-3305	248	3	spectral	spectral	ADJ
fuelectenerg-3305	248	4	invariant	invariant	ADJ
fuelectenerg-3305	248	5	operations	operation	NOUN
fuelectenerg-3305	248	6	the	the	DET
fuelectenerg-3305	248	7	fifth	fifth	ADJ
fuelectenerg-3305	248	8	spectral	spectral	ADJ
fuelectenerg-3305	248	9	invariant	invariant	ADJ
fuelectenerg-3305	248	10	operation	operation	NOUN
fuelectenerg-3305	248	11	in	in	ADP
fuelectenerg-3305	248	12	definition	definition	NOUN
fuelectenerg-3305	248	13	2	2	NUM
fuelectenerg-3305	248	14	,	,	PUNCT
fuelectenerg-3305	248	15	which	which	PRON
fuelectenerg-3305	248	16	is	be	AUX
fuelectenerg-3305	248	17	called	call	VERB
fuelectenerg-3305	248	18	disjoint	disjoint	ADJ
fuelectenerg-3305	248	19	spectral	spectral	ADJ
fuelectenerg-3305	248	20	translation	translation	NOUN
fuelectenerg-3305	248	21	[	[	X
fuelectenerg-3305	248	22	11	11	NUM
fuelectenerg-3305	248	23	]	]	PUNCT
fuelectenerg-3305	248	24	,	,	PUNCT
fuelectenerg-3305	248	25	[	[	X
fuelectenerg-3305	248	26	12	12	NUM
fuelectenerg-3305	248	27	]	]	PUNCT
fuelectenerg-3305	248	28	,	,	PUNCT
fuelectenerg-3305	248	29	concerns	concern	NOUN
fuelectenerg-3305	248	30	with	with	ADP
fuelectenerg-3305	248	31	the	the	DET
fuelectenerg-3305	248	32	adding	adding	NOUN
fuelectenerg-3305	248	33	of	of	ADP
fuelectenerg-3305	248	34	a	a	DET
fuelectenerg-3305	248	35	linear	linear	ADJ
fuelectenerg-3305	248	36	term	term	NOUN
fuelectenerg-3305	248	37	xi	xi	X
fuelectenerg-3305	248	38	to	to	ADP
fuelectenerg-3305	248	39	a	a	DET
fuelectenerg-3305	248	40	function	function	NOUN
fuelectenerg-3305	248	41	f	f	NOUN
fuelectenerg-3305	248	42	without	without	ADP
fuelectenerg-3305	248	43	changing	change	VERB
fuelectenerg-3305	248	44	the	the	DET
fuelectenerg-3305	248	45	absolute	absolute	ADJ
fuelectenerg-3305	248	46	values	value	NOUN
fuelectenerg-3305	248	47	of	of	ADP
fuelectenerg-3305	248	48	walsh	walsh	NOUN
fuelectenerg-3305	248	49	coefficients	coefficient	NOUN
fuelectenerg-3305	248	50	of	of	ADP
fuelectenerg-3305	248	51	f	f	PROPN
fuelectenerg-3305	248	52	.	.	PUNCT
fuelectenerg-3305	249	1	the	the	DET
fuelectenerg-3305	249	2	spectral	spectral	ADJ
fuelectenerg-3305	249	3	invariant	invariant	ADJ
fuelectenerg-3305	249	4	operation	operation	NOUN
fuelectenerg-3305	249	5	introduced	introduce	VERB
fuelectenerg-3305	249	6	in	in	ADP
fuelectenerg-3305	249	7	the	the	DET
fuelectenerg-3305	249	8	present	present	ADJ
fuelectenerg-3305	249	9	section	section	NOUN
fuelectenerg-3305	249	10	concerns	concern	NOUN
fuelectenerg-3305	249	11	with	with	ADP
fuelectenerg-3305	249	12	conditions	condition	NOUN
fuelectenerg-3305	249	13	under	under	ADP
fuelectenerg-3305	249	14	which	which	PRON
fuelectenerg-3305	249	15	adding	add	VERB
fuelectenerg-3305	249	16	of	of	ADP
fuelectenerg-3305	249	17	a	a	DET
fuelectenerg-3305	249	18	non	non	ADJ
fuelectenerg-3305	249	19	-	-	ADJ
fuelectenerg-3305	249	20	linear	linear	ADJ
fuelectenerg-3305	249	21	term	term	NOUN
fuelectenerg-3305	249	22	to	to	ADP
fuelectenerg-3305	249	23	a	a	DET
fuelectenerg-3305	249	24	function	function	NOUN
fuelectenerg-3305	249	25	f	f	PROPN
fuelectenerg-3305	249	26	satisfies	satisfy	VERB
fuelectenerg-3305	249	27	requirements	requirement	NOUN
fuelectenerg-3305	249	28	of	of	ADP
fuelectenerg-3305	249	29	the	the	DET
fuelectenerg-3305	249	30	walsh	walsh	PROPN
fuelectenerg-3305	249	31	spectrum	spectrum	PROPN
fuelectenerg-3305	249	32	invariance	invariance	NOUN
fuelectenerg-3305	249	33	.	.	PUNCT
fuelectenerg-3305	250	1	we	we	PRON
fuelectenerg-3305	250	2	show	show	VERB
fuelectenerg-3305	250	3	that	that	SCONJ
fuelectenerg-3305	250	4	when	when	SCONJ
fuelectenerg-3305	250	5	the	the	DET
fuelectenerg-3305	250	6	reed	reed	NOUN
fuelectenerg-3305	250	7	-	-	PUNCT
fuelectenerg-3305	250	8	muller	muller	NOUN
fuelectenerg-3305	250	9	polynomial	polynomial	NOUN
fuelectenerg-3305	250	10	of	of	ADP
fuelectenerg-3305	250	11	a	a	DET
fuelectenerg-3305	250	12	boolean	boolean	ADJ
fuelectenerg-3305	250	13	function	function	NOUN
fuelectenerg-3305	250	14	contains	contain	VERB
fuelectenerg-3305	250	15	two	two	NUM
fuelectenerg-3305	250	16	disjoint	disjoint	NOUN
fuelectenerg-3305	250	17	products	product	NOUN
fuelectenerg-3305	250	18	of	of	ADP
fuelectenerg-3305	250	19	pairs	pair	NOUN
fuelectenerg-3305	250	20	of	of	ADP
fuelectenerg-3305	250	21	variables	variable	NOUN
fuelectenerg-3305	250	22	it	it	PRON
fuelectenerg-3305	250	23	is	be	AUX
fuelectenerg-3305	250	24	possible	possible	ADJ
fuelectenerg-3305	250	25	to	to	PART
fuelectenerg-3305	250	26	add	add	VERB
fuelectenerg-3305	250	27	a	a	DET
fuelectenerg-3305	250	28	certain	certain	ADJ
fuelectenerg-3305	250	29	products	product	NOUN
fuelectenerg-3305	250	30	with	with	ADP
fuelectenerg-3305	250	31	three	three	NUM
fuelectenerg-3305	250	32	variables	variable	NOUN
fuelectenerg-3305	250	33	such	such	ADJ
fuelectenerg-3305	250	34	that	that	SCONJ
fuelectenerg-3305	250	35	some	some	DET
fuelectenerg-3305	250	36	spectral	spectral	ADJ
fuelectenerg-3305	250	37	coefficients	coefficient	NOUN
fuelectenerg-3305	250	38	will	will	AUX
fuelectenerg-3305	250	39	be	be	AUX
fuelectenerg-3305	250	40	permuted	permute	VERB
fuelectenerg-3305	250	41	or	or	CCONJ
fuelectenerg-3305	250	42	will	will	AUX
fuelectenerg-3305	250	43	change	change	VERB
fuelectenerg-3305	250	44	the	the	DET
fuelectenerg-3305	250	45	sign	sign	NOUN
fuelectenerg-3305	250	46	but	but	CCONJ
fuelectenerg-3305	250	47	their	their	PRON
fuelectenerg-3305	250	48	absolute	absolute	ADJ
fuelectenerg-3305	250	49	values	value	NOUN
fuelectenerg-3305	250	50	remain	remain	VERB
fuelectenerg-3305	250	51	unchanged	unchanged	ADJ
fuelectenerg-3305	250	52	.	.	PUNCT
fuelectenerg-3305	251	1	therefore	therefore	ADV
fuelectenerg-3305	251	2	,	,	PUNCT
fuelectenerg-3305	251	3	this	this	DET
fuelectenerg-3305	251	4	operation	operation	NOUN
fuelectenerg-3305	251	5	can	can	AUX
fuelectenerg-3305	251	6	be	be	AUX
fuelectenerg-3305	251	7	viewed	view	VERB
fuelectenerg-3305	251	8	as	as	ADP
fuelectenerg-3305	251	9	a	a	DET
fuelectenerg-3305	251	10	spectral	spectral	ADJ
fuelectenerg-3305	251	11	invariant	invariant	ADJ
fuelectenerg-3305	251	12	operation	operation	NOUN
fuelectenerg-3305	251	13	in	in	ADP
fuelectenerg-3305	251	14	the	the	DET
fuelectenerg-3305	251	15	sense	sense	NOUN
fuelectenerg-3305	251	16	discussed	discuss	VERB
fuelectenerg-3305	251	17	above	above	ADV
fuelectenerg-3305	251	18	.	.	PUNCT
fuelectenerg-3305	252	1	theorem	theorem	NOUN
fuelectenerg-3305	252	2	1	1	NUM
fuelectenerg-3305	252	3	(	(	PUNCT
fuelectenerg-3305	252	4	adding	add	VERB
fuelectenerg-3305	252	5	to	to	ADP
fuelectenerg-3305	252	6	f	f	PROPN
fuelectenerg-3305	252	7	a	a	DET
fuelectenerg-3305	252	8	product	product	NOUN
fuelectenerg-3305	252	9	of	of	ADP
fuelectenerg-3305	252	10	three	three	NUM
fuelectenerg-3305	252	11	variables	variable	NOUN
fuelectenerg-3305	252	12	)	)	PUNCT
fuelectenerg-3305	252	13	let	let	VERB
fuelectenerg-3305	252	14	f	f	PRON
fuelectenerg-3305	252	15	be	be	AUX
fuelectenerg-3305	252	16	a	a	DET
fuelectenerg-3305	252	17	boolean	boolean	ADJ
fuelectenerg-3305	252	18	function	function	NOUN
fuelectenerg-3305	252	19	of	of	ADP
fuelectenerg-3305	252	20	n	n	DET
fuelectenerg-3305	252	21	variables	variable	NOUN
fuelectenerg-3305	252	22	,	,	PUNCT
fuelectenerg-3305	252	23	which	which	PRON
fuelectenerg-3305	252	24	has	have	VERB
fuelectenerg-3305	252	25	two	two	NUM
fuelectenerg-3305	252	26	disjoint	disjoint	ADJ
fuelectenerg-3305	252	27	products	product	NOUN
fuelectenerg-3305	252	28	of	of	ADP
fuelectenerg-3305	252	29	two	two	NUM
fuelectenerg-3305	252	30	variables	variable	NOUN
fuelectenerg-3305	252	31	in	in	ADP
fuelectenerg-3305	252	32	its	its	PRON
fuelectenerg-3305	252	33	polynomial	polynomial	ADJ
fuelectenerg-3305	252	34	form	form	NOUN
fuelectenerg-3305	252	35	f(x1	f(x1	NOUN
fuelectenerg-3305	252	36	,	,	PUNCT
fuelectenerg-3305	252	37	·	·	PUNCT
fuelectenerg-3305	252	38	·	·	PUNCT
fuelectenerg-3305	252	39	·	·	PUNCT
fuelectenerg-3305	252	40	,	,	PUNCT
fuelectenerg-3305	252	41	xn	xn	X
fuelectenerg-3305	252	42	)	)	PUNCT
fuelectenerg-3305	253	1	=	=	PUNCT
fuelectenerg-3305	253	2	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	253	3	⊕	⊕	PROPN
fuelectenerg-3305	253	4	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	253	5	⊕	⊕	PROPN
fuelectenerg-3305	253	6	h(x1	h(x1	PROPN
fuelectenerg-3305	253	7	,	,	PUNCT
fuelectenerg-3305	253	8	·	·	PUNCT
fuelectenerg-3305	253	9	·	·	PUNCT
fuelectenerg-3305	253	10	·	·	PUNCT
fuelectenerg-3305	253	11	,	,	PUNCT
fuelectenerg-3305	253	12	xk	xk	PROPN
fuelectenerg-3305	253	13	)	)	PUNCT
fuelectenerg-3305	253	14	,	,	PUNCT
fuelectenerg-3305	253	15	where	where	SCONJ
fuelectenerg-3305	253	16	{	{	PUNCT
fuelectenerg-3305	253	17	i1	i1	PROPN
fuelectenerg-3305	253	18	,	,	PUNCT
fuelectenerg-3305	253	19	i2	i2	PROPN
fuelectenerg-3305	253	20	}	}	PUNCT
fuelectenerg-3305	253	21	∩	∩	ADJ
fuelectenerg-3305	253	22	{	{	PUNCT
fuelectenerg-3305	253	23	i3	i3	NOUN
fuelectenerg-3305	253	24	,	,	PUNCT
fuelectenerg-3305	253	25	i4	i4	PROPN
fuelectenerg-3305	253	26	}	}	PUNCT
fuelectenerg-3305	253	27	=	=	NOUN
fuelectenerg-3305	253	28	∅	∅	NOUN
fuelectenerg-3305	253	29	,	,	PUNCT
fuelectenerg-3305	253	30	and	and	CCONJ
fuelectenerg-3305	253	31	h(x1	h(x1	NOUN
fuelectenerg-3305	253	32	,	,	PUNCT
fuelectenerg-3305	253	33	·	·	PUNCT
fuelectenerg-3305	253	34	·	·	PUNCT
fuelectenerg-3305	253	35	·	·	PUNCT
fuelectenerg-3305	253	36	,	,	PUNCT
fuelectenerg-3305	253	37	xk	xk	PROPN
fuelectenerg-3305	253	38	)	)	PUNCT
fuelectenerg-3305	253	39	is	be	AUX
fuelectenerg-3305	253	40	an	an	DET
fuelectenerg-3305	253	41	arbitrary	arbitrary	ADJ
fuelectenerg-3305	253	42	function	function	NOUN
fuelectenerg-3305	253	43	of	of	ADP
fuelectenerg-3305	253	44	{	{	PUNCT
fuelectenerg-3305	253	45	x1	x1	PROPN
fuelectenerg-3305	253	46	,	,	PUNCT
fuelectenerg-3305	253	47	·	·	PUNCT
fuelectenerg-3305	253	48	·	·	PUNCT
fuelectenerg-3305	253	49	·	·	PUNCT
fuelectenerg-3305	253	50	,	,	PUNCT
fuelectenerg-3305	253	51	xk	xk	PROPN
fuelectenerg-3305	253	52	}	}	PUNCT
fuelectenerg-3305	253	53	⊂	⊂	PROPN
fuelectenerg-3305	253	54	{	{	PUNCT
fuelectenerg-3305	253	55	x1	x1	PROPN
fuelectenerg-3305	253	56	,	,	PUNCT
fuelectenerg-3305	253	57	·	·	PUNCT
fuelectenerg-3305	253	58	·	·	PUNCT
fuelectenerg-3305	253	59	·	·	PUNCT
fuelectenerg-3305	253	60	,	,	PUNCT
fuelectenerg-3305	253	61	xn	xn	NUM
fuelectenerg-3305	253	62	}	}	PUNCT
fuelectenerg-3305	253	63	variables	variable	NOUN
fuelectenerg-3305	253	64	.	.	PUNCT
fuelectenerg-3305	254	1	furthermore	furthermore	ADV
fuelectenerg-3305	254	2	,	,	PUNCT
fuelectenerg-3305	254	3	let	let	VERB
fuelectenerg-3305	254	4	g(x1	g(x1	NOUN
fuelectenerg-3305	254	5	,	,	PUNCT
fuelectenerg-3305	254	6	·	·	PUNCT
fuelectenerg-3305	254	7	·	·	PUNCT
fuelectenerg-3305	254	8	·	·	PUNCT
fuelectenerg-3305	254	9	,	,	PUNCT
fuelectenerg-3305	254	10	xn	xn	X
fuelectenerg-3305	254	11	)	)	PUNCT
fuelectenerg-3305	254	12	=	=	SYM
fuelectenerg-3305	255	1	f(x1	f(x1	X
fuelectenerg-3305	255	2	,	,	PUNCT
fuelectenerg-3305	255	3	·	·	PUNCT
fuelectenerg-3305	255	4	·	·	PUNCT
fuelectenerg-3305	255	5	·	·	PUNCT
fuelectenerg-3305	255	6	,	,	PUNCT
fuelectenerg-3305	255	7	xn)⊕	xn)⊕	PUNCT
fuelectenerg-3305	255	8	xj1xj2xj3	xj1xj2xj3	PROPN
fuelectenerg-3305	255	9	,	,	PUNCT
fuelectenerg-3305	255	10	where	where	SCONJ
fuelectenerg-3305	255	11	j1	j1	PROPN
fuelectenerg-3305	255	12	∈	∈	PROPN
fuelectenerg-3305	255	13	{	{	PUNCT
fuelectenerg-3305	255	14	i1	i1	PROPN
fuelectenerg-3305	255	15	,	,	PUNCT
fuelectenerg-3305	255	16	i2	i2	PROPN
fuelectenerg-3305	255	17	}	}	PUNCT
fuelectenerg-3305	255	18	,	,	PUNCT
fuelectenerg-3305	255	19	j2	j2	PROPN
fuelectenerg-3305	255	20	∈	∈	PROPN
fuelectenerg-3305	255	21	{	{	PUNCT
fuelectenerg-3305	255	22	i3	i3	PROPN
fuelectenerg-3305	255	23	,	,	PUNCT
fuelectenerg-3305	255	24	i4	i4	PROPN
fuelectenerg-3305	255	25	}	}	PUNCT
fuelectenerg-3305	255	26	and	and	CCONJ
fuelectenerg-3305	255	27	j3	j3	PROPN
fuelectenerg-3305	255	28	/∈	/∈	PUNCT
fuelectenerg-3305	255	29	{	{	PUNCT
fuelectenerg-3305	255	30	i1	i1	PROPN
fuelectenerg-3305	255	31	,	,	PUNCT
fuelectenerg-3305	255	32	i2	i2	PROPN
fuelectenerg-3305	255	33	,	,	PUNCT
fuelectenerg-3305	255	34	i3	i3	NOUN
fuelectenerg-3305	255	35	,	,	PUNCT
fuelectenerg-3305	255	36	i4	i4	PROPN
fuelectenerg-3305	255	37	}	}	PUNCT
fuelectenerg-3305	255	38	.	.	PUNCT
fuelectenerg-3305	256	1	the	the	DET
fuelectenerg-3305	256	2	walsh	walsh	PROPN
fuelectenerg-3305	256	3	spectral	spectral	ADJ
fuelectenerg-3305	256	4	coefficients	coefficient	NOUN
fuelectenerg-3305	256	5	of	of	ADP
fuelectenerg-3305	256	6	f	f	PROPN
fuelectenerg-3305	256	7	and	and	CCONJ
fuelectenerg-3305	256	8	g	g	PROPN
fuelectenerg-3305	256	9	are	be	AUX
fuelectenerg-3305	256	10	related	relate	VERB
fuelectenerg-3305	256	11	as	as	ADP
fuelectenerg-3305	256	12	sgb1	sgb1	PROPN
fuelectenerg-3305	256	13	,	,	PUNCT
fuelectenerg-3305	256	14	·	·	PUNCT
fuelectenerg-3305	256	15	·	·	PUNCT
fuelectenerg-3305	256	16	·	·	PUNCT
fuelectenerg-3305	256	17	,	,	PUNCT
fuelectenerg-3305	256	18	bj4=1,bj5=1,bj3=0	bj4=1,bj5=1,bj3=0	PROPN
fuelectenerg-3305	256	19	,	,	PUNCT
fuelectenerg-3305	256	20	·	·	PUNCT
fuelectenerg-3305	256	21	·	·	PUNCT
fuelectenerg-3305	256	22	·	·	PUNCT
fuelectenerg-3305	256	23	,	,	PUNCT
fuelectenerg-3305	257	1	bn	bn	X
fuelectenerg-3305	257	2	↔	↔	PROPN
fuelectenerg-3305	257	3	sf	sf	PROPN
fuelectenerg-3305	257	4	b1	b1	PROPN
fuelectenerg-3305	257	5	,	,	PUNCT
fuelectenerg-3305	257	6	·	·	PUNCT
fuelectenerg-3305	257	7	·	·	PUNCT
fuelectenerg-3305	257	8	·	·	PUNCT
fuelectenerg-3305	257	9	,	,	PUNCT
fuelectenerg-3305	257	10	bj4=1,bj5=1,bj3=1	bj4=1,bj5=1,bj3=1	PROPN
fuelectenerg-3305	257	11	,	,	PUNCT
fuelectenerg-3305	257	12	·	·	PUNCT
fuelectenerg-3305	257	13	·	·	PUNCT
fuelectenerg-3305	257	14	·	·	PUNCT
fuelectenerg-3305	257	15	,	,	PUNCT
fuelectenerg-3305	257	16	bn	bn	INTJ
fuelectenerg-3305	257	17	,	,	PUNCT
fuelectenerg-3305	257	18	sgb1	sgb1	PROPN
fuelectenerg-3305	257	19	,	,	PUNCT
fuelectenerg-3305	257	20	·	·	PUNCT
fuelectenerg-3305	257	21	·	·	PUNCT
fuelectenerg-3305	257	22	·	·	PUNCT
fuelectenerg-3305	257	23	,	,	PUNCT
fuelectenerg-3305	257	24	bj4=1,bj5=1,bj3=1	bj4=1,bj5=1,bj3=1	PROPN
fuelectenerg-3305	257	25	,	,	PUNCT
fuelectenerg-3305	257	26	·	·	PUNCT
fuelectenerg-3305	257	27	·	·	PUNCT
fuelectenerg-3305	257	28	·	·	PUNCT
fuelectenerg-3305	257	29	,	,	PUNCT
fuelectenerg-3305	257	30	bn	bn	X
fuelectenerg-3305	257	31	↔	↔	PROPN
fuelectenerg-3305	257	32	sf	sf	PROPN
fuelectenerg-3305	257	33	b1	b1	PROPN
fuelectenerg-3305	257	34	,	,	PUNCT
fuelectenerg-3305	257	35	·	·	PUNCT
fuelectenerg-3305	257	36	·	·	PUNCT
fuelectenerg-3305	257	37	·	·	PUNCT
fuelectenerg-3305	257	38	,	,	PUNCT
fuelectenerg-3305	257	39	bj4=1,bj5=1,bj3=0	bj4=1,bj5=1,bj3=0	PROPN
fuelectenerg-3305	257	40	,	,	PUNCT
fuelectenerg-3305	257	41	·	·	PUNCT
fuelectenerg-3305	257	42	·	·	PUNCT
fuelectenerg-3305	257	43	·	·	PUNCT
fuelectenerg-3305	257	44	,	,	PUNCT
fuelectenerg-3305	257	45	bn	bn	INTJ
fuelectenerg-3305	257	46	,	,	PUNCT
fuelectenerg-3305	257	47	where	where	SCONJ
fuelectenerg-3305	257	48	j4	j4	PROPN
fuelectenerg-3305	257	49	=	=	SYM
fuelectenerg-3305	257	50	{	{	PUNCT
fuelectenerg-3305	257	51	i1	i1	PROPN
fuelectenerg-3305	257	52	,	,	PUNCT
fuelectenerg-3305	257	53	i2	i2	PROPN
fuelectenerg-3305	257	54	}	}	PUNCT
fuelectenerg-3305	257	55	\	\	PROPN
fuelectenerg-3305	257	56	j1	j1	PROPN
fuelectenerg-3305	257	57	and	and	CCONJ
fuelectenerg-3305	257	58	j5	j5	PROPN
fuelectenerg-3305	257	59	=	=	SYM
fuelectenerg-3305	257	60	{	{	PUNCT
fuelectenerg-3305	257	61	i3	i3	PROPN
fuelectenerg-3305	257	62	,	,	PUNCT
fuelectenerg-3305	257	63	i4	i4	PROPN
fuelectenerg-3305	257	64	}	}	PUNCT
fuelectenerg-3305	257	65	\	\	PROPN
fuelectenerg-3305	257	66	j2	j2	PROPN
fuelectenerg-3305	257	67	.	.	PROPN
fuelectenerg-3305	257	68	coefficients	coefficient	NOUN
fuelectenerg-3305	257	69	with	with	ADP
fuelectenerg-3305	257	70	bj4	bj4	NOUN
fuelectenerg-3305	257	71	=	=	NOUN
fuelectenerg-3305	257	72	bj5	bj5	NOUN
fuelectenerg-3305	257	73	=	=	SYM
fuelectenerg-3305	257	74	1	1	NUM
fuelectenerg-3305	257	75	,	,	PUNCT
fuelectenerg-3305	257	76	and	and	CCONJ
fuelectenerg-3305	257	77	bj3	bj3	ADJ
fuelectenerg-3305	257	78	=	=	NOUN
fuelectenerg-3305	257	79	0	0	NUM
fuelectenerg-3305	257	80	in	in	ADP
fuelectenerg-3305	257	81	the	the	DET
fuelectenerg-3305	257	82	subscripts	subscript	NOUN
fuelectenerg-3305	257	83	are	be	AUX
fuelectenerg-3305	257	84	permuted	permute	VERB
fuelectenerg-3305	257	85	with	with	ADP
fuelectenerg-3305	257	86	the	the	DET
fuelectenerg-3305	257	87	coefficients	coefficient	NOUN
fuelectenerg-3305	257	88	with	with	ADP
fuelectenerg-3305	257	89	bj4	bj4	NOUN
fuelectenerg-3305	257	90	=	=	NOUN
fuelectenerg-3305	257	91	bj5	bj5	NOUN
fuelectenerg-3305	257	92	=	=	SYM
fuelectenerg-3305	257	93	1	1	NUM
fuelectenerg-3305	257	94	,	,	PUNCT
fuelectenerg-3305	257	95	and	and	CCONJ
fuelectenerg-3305	257	96	bj3	bj3	ADJ
fuelectenerg-3305	257	97	=	=	NOUN
fuelectenerg-3305	257	98	1	1	NUM
fuelectenerg-3305	257	99	in	in	ADP
fuelectenerg-3305	257	100	the	the	DET
fuelectenerg-3305	257	101	subscripts	subscript	NOUN
fuelectenerg-3305	257	102	.	.	PUNCT
fuelectenerg-3305	258	1	proof	proof	NOUN
fuelectenerg-3305	258	2	:	:	PUNCT
fuelectenerg-3305	258	3	for	for	ADP
fuelectenerg-3305	258	4	simplicity	simplicity	NOUN
fuelectenerg-3305	258	5	assume	assume	VERB
fuelectenerg-3305	258	6	that	that	SCONJ
fuelectenerg-3305	258	7	h	h	NOUN
fuelectenerg-3305	258	8	does	do	AUX
fuelectenerg-3305	258	9	not	not	PART
fuelectenerg-3305	258	10	appear	appear	VERB
fuelectenerg-3305	258	11	in	in	ADP
fuelectenerg-3305	258	12	f	f	PROPN
fuelectenerg-3305	258	13	,	,	PUNCT
fuelectenerg-3305	258	14	h(x1	h(x1	PROPN
fuelectenerg-3305	258	15	,	,	PUNCT
fuelectenerg-3305	258	16	·	·	PUNCT
fuelectenerg-3305	258	17	·	·	PUNCT
fuelectenerg-3305	258	18	·	·	PUNCT
fuelectenerg-3305	258	19	,	,	PUNCT
fuelectenerg-3305	258	20	xk	xk	PROPN
fuelectenerg-3305	258	21	)	)	PUNCT
fuelectenerg-3305	258	22	=	=	SYM
fuelectenerg-3305	258	23	0	0	X
fuelectenerg-3305	258	24	.	.	PUNCT
fuelectenerg-3305	259	1	therefore	therefore	ADV
fuelectenerg-3305	259	2	,	,	PUNCT
fuelectenerg-3305	259	3	consider	consider	VERB
fuelectenerg-3305	259	4	a	a	DET
fuelectenerg-3305	259	5	function	function	NOUN
fuelectenerg-3305	259	6	f(x1	f(x1	NOUN
fuelectenerg-3305	259	7	,	,	PUNCT
fuelectenerg-3305	259	8	·	·	PUNCT
fuelectenerg-3305	259	9	·	·	PUNCT
fuelectenerg-3305	259	10	·	·	PUNCT
fuelectenerg-3305	259	11	,	,	PUNCT
fuelectenerg-3305	259	12	xn	xn	X
fuelectenerg-3305	259	13	)	)	PUNCT
fuelectenerg-3305	259	14	in	in	ADP
fuelectenerg-3305	259	15	n	n	DET
fuelectenerg-3305	259	16	variables	variable	NOUN
fuelectenerg-3305	259	17	defined	define	VERB
fuelectenerg-3305	259	18	by	by	ADP
fuelectenerg-3305	259	19	the	the	DET
fuelectenerg-3305	259	20	polynomial	polynomial	ADJ
fuelectenerg-3305	259	21	form	form	NOUN
fuelectenerg-3305	259	22	consisting	consist	VERB
fuelectenerg-3305	259	23	of	of	ADP
fuelectenerg-3305	259	24	two	two	NUM
fuelectenerg-3305	259	25	disjoint	disjoint	ADJ
fuelectenerg-3305	259	26	product	product	NOUN
fuelectenerg-3305	259	27	terms	term	NOUN
fuelectenerg-3305	259	28	of	of	ADP
fuelectenerg-3305	259	29	pairs	pair	NOUN
fuelectenerg-3305	259	30	of	of	ADP
fuelectenerg-3305	259	31	variable	variable	ADJ
fuelectenerg-3305	259	32	f(x1	f(x1	NOUN
fuelectenerg-3305	259	33	,	,	PUNCT
fuelectenerg-3305	259	34	·	·	PUNCT
fuelectenerg-3305	259	35	·	·	PUNCT
fuelectenerg-3305	259	36	·	·	PUNCT
fuelectenerg-3305	259	37	,	,	PUNCT
fuelectenerg-3305	259	38	xn	xn	X
fuelectenerg-3305	259	39	)	)	PUNCT
fuelectenerg-3305	260	1	=	=	PUNCT
fuelectenerg-3305	260	2	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	260	3	⊕	⊕	PROPN
fuelectenerg-3305	260	4	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	260	5	.	.	PUNCT
fuelectenerg-3305	261	1	196	196	NUM
fuelectenerg-3305	261	2	m.	m.	NOUN
fuelectenerg-3305	261	3	stanković	stanković	PROPN
fuelectenerg-3305	261	4	,	,	PUNCT
fuelectenerg-3305	261	5	c.	c.	PROPN
fuelectenerg-3305	261	6	moraga	moraga	PROPN
fuelectenerg-3305	261	7	,	,	PUNCT
fuelectenerg-3305	261	8	r.	r.	PROPN
fuelectenerg-3305	261	9	s.	s.	PROPN
fuelectenerg-3305	261	10	stanković	stanković	PROPN
fuelectenerg-3305	261	11	an	an	DET
fuelectenerg-3305	261	12	improved	improved	ADJ
fuelectenerg-3305	261	13	spectral	spectral	ADJ
fuelectenerg-3305	261	14	classification	classification	NOUN
fuelectenerg-3305	261	15	of	of	ADP
fuelectenerg-3305	261	16	boolean	boolean	ADJ
fuelectenerg-3305	261	17	functions	function	NOUN
fuelectenerg-3305	261	18	...	...	PUNCT
fuelectenerg-3305	261	19	197	197	NUM
fuelectenerg-3305	261	20	8	8	NUM
fuelectenerg-3305	261	21	m.	m.	NOUN
fuelectenerg-3305	261	22	stankovic	stankovic	PROPN
fuelectenerg-3305	261	23	,	,	PUNCT
fuelectenerg-3305	261	24	c.	c.	PROPN
fuelectenerg-3305	261	25	moraga	moraga	PROPN
fuelectenerg-3305	261	26	,	,	PUNCT
fuelectenerg-3305	261	27	r.	r.	PROPN
fuelectenerg-3305	261	28	s.	s.	PROPN
fuelectenerg-3305	261	29	stanković	stanković	PROPN
fuelectenerg-3305	262	1	3	3	NUM
fuelectenerg-3305	262	2	new	new	ADJ
fuelectenerg-3305	262	3	spectral	spectral	ADJ
fuelectenerg-3305	262	4	invariant	invariant	ADJ
fuelectenerg-3305	262	5	operations	operation	NOUN
fuelectenerg-3305	262	6	the	the	DET
fuelectenerg-3305	262	7	fifth	fifth	ADJ
fuelectenerg-3305	262	8	spectral	spectral	ADJ
fuelectenerg-3305	262	9	invariant	invariant	ADJ
fuelectenerg-3305	262	10	operation	operation	NOUN
fuelectenerg-3305	262	11	in	in	ADP
fuelectenerg-3305	262	12	definition	definition	NOUN
fuelectenerg-3305	262	13	2	2	NUM
fuelectenerg-3305	262	14	,	,	PUNCT
fuelectenerg-3305	262	15	which	which	PRON
fuelectenerg-3305	262	16	is	be	AUX
fuelectenerg-3305	262	17	called	call	VERB
fuelectenerg-3305	262	18	disjoint	disjoint	ADJ
fuelectenerg-3305	262	19	spectral	spectral	ADJ
fuelectenerg-3305	262	20	translation	translation	NOUN
fuelectenerg-3305	262	21	[	[	X
fuelectenerg-3305	262	22	11	11	NUM
fuelectenerg-3305	262	23	]	]	PUNCT
fuelectenerg-3305	262	24	,	,	PUNCT
fuelectenerg-3305	262	25	[	[	X
fuelectenerg-3305	262	26	12	12	NUM
fuelectenerg-3305	262	27	]	]	PUNCT
fuelectenerg-3305	262	28	,	,	PUNCT
fuelectenerg-3305	262	29	concerns	concern	NOUN
fuelectenerg-3305	262	30	with	with	ADP
fuelectenerg-3305	262	31	the	the	DET
fuelectenerg-3305	262	32	adding	adding	NOUN
fuelectenerg-3305	262	33	of	of	ADP
fuelectenerg-3305	262	34	a	a	DET
fuelectenerg-3305	262	35	linear	linear	ADJ
fuelectenerg-3305	262	36	term	term	NOUN
fuelectenerg-3305	262	37	xi	xi	X
fuelectenerg-3305	262	38	to	to	ADP
fuelectenerg-3305	262	39	a	a	DET
fuelectenerg-3305	262	40	function	function	NOUN
fuelectenerg-3305	262	41	f	f	NOUN
fuelectenerg-3305	262	42	without	without	ADP
fuelectenerg-3305	262	43	changing	change	VERB
fuelectenerg-3305	262	44	the	the	DET
fuelectenerg-3305	262	45	absolute	absolute	ADJ
fuelectenerg-3305	262	46	values	value	NOUN
fuelectenerg-3305	262	47	of	of	ADP
fuelectenerg-3305	262	48	walsh	walsh	NOUN
fuelectenerg-3305	262	49	coefficients	coefficient	NOUN
fuelectenerg-3305	262	50	of	of	ADP
fuelectenerg-3305	262	51	f	f	PROPN
fuelectenerg-3305	262	52	.	.	PUNCT
fuelectenerg-3305	263	1	the	the	DET
fuelectenerg-3305	263	2	spectral	spectral	ADJ
fuelectenerg-3305	263	3	invariant	invariant	ADJ
fuelectenerg-3305	263	4	operation	operation	NOUN
fuelectenerg-3305	263	5	introduced	introduce	VERB
fuelectenerg-3305	263	6	in	in	ADP
fuelectenerg-3305	263	7	the	the	DET
fuelectenerg-3305	263	8	present	present	ADJ
fuelectenerg-3305	263	9	section	section	NOUN
fuelectenerg-3305	263	10	concerns	concern	NOUN
fuelectenerg-3305	263	11	with	with	ADP
fuelectenerg-3305	263	12	conditions	condition	NOUN
fuelectenerg-3305	263	13	under	under	ADP
fuelectenerg-3305	263	14	which	which	PRON
fuelectenerg-3305	263	15	adding	add	VERB
fuelectenerg-3305	263	16	of	of	ADP
fuelectenerg-3305	263	17	a	a	DET
fuelectenerg-3305	263	18	non	non	ADJ
fuelectenerg-3305	263	19	-	-	ADJ
fuelectenerg-3305	263	20	linear	linear	ADJ
fuelectenerg-3305	263	21	term	term	NOUN
fuelectenerg-3305	263	22	to	to	ADP
fuelectenerg-3305	263	23	a	a	DET
fuelectenerg-3305	263	24	function	function	NOUN
fuelectenerg-3305	263	25	f	f	PROPN
fuelectenerg-3305	263	26	satisfies	satisfy	VERB
fuelectenerg-3305	263	27	requirements	requirement	NOUN
fuelectenerg-3305	263	28	of	of	ADP
fuelectenerg-3305	263	29	the	the	DET
fuelectenerg-3305	263	30	walsh	walsh	PROPN
fuelectenerg-3305	263	31	spectrum	spectrum	PROPN
fuelectenerg-3305	263	32	invariance	invariance	NOUN
fuelectenerg-3305	263	33	.	.	PUNCT
fuelectenerg-3305	264	1	we	we	PRON
fuelectenerg-3305	264	2	show	show	VERB
fuelectenerg-3305	264	3	that	that	SCONJ
fuelectenerg-3305	264	4	when	when	SCONJ
fuelectenerg-3305	264	5	the	the	DET
fuelectenerg-3305	264	6	reed	reed	NOUN
fuelectenerg-3305	264	7	-	-	PUNCT
fuelectenerg-3305	264	8	muller	muller	NOUN
fuelectenerg-3305	264	9	polynomial	polynomial	NOUN
fuelectenerg-3305	264	10	of	of	ADP
fuelectenerg-3305	264	11	a	a	DET
fuelectenerg-3305	264	12	boolean	boolean	ADJ
fuelectenerg-3305	264	13	function	function	NOUN
fuelectenerg-3305	264	14	contains	contain	VERB
fuelectenerg-3305	264	15	two	two	NUM
fuelectenerg-3305	264	16	disjoint	disjoint	NOUN
fuelectenerg-3305	264	17	products	product	NOUN
fuelectenerg-3305	264	18	of	of	ADP
fuelectenerg-3305	264	19	pairs	pair	NOUN
fuelectenerg-3305	264	20	of	of	ADP
fuelectenerg-3305	264	21	variables	variable	NOUN
fuelectenerg-3305	264	22	it	it	PRON
fuelectenerg-3305	264	23	is	be	AUX
fuelectenerg-3305	264	24	possible	possible	ADJ
fuelectenerg-3305	264	25	to	to	PART
fuelectenerg-3305	264	26	add	add	VERB
fuelectenerg-3305	264	27	a	a	DET
fuelectenerg-3305	264	28	certain	certain	ADJ
fuelectenerg-3305	264	29	products	product	NOUN
fuelectenerg-3305	264	30	with	with	ADP
fuelectenerg-3305	264	31	three	three	NUM
fuelectenerg-3305	264	32	variables	variable	NOUN
fuelectenerg-3305	264	33	such	such	ADJ
fuelectenerg-3305	264	34	that	that	SCONJ
fuelectenerg-3305	264	35	some	some	DET
fuelectenerg-3305	264	36	spectral	spectral	ADJ
fuelectenerg-3305	264	37	coefficients	coefficient	NOUN
fuelectenerg-3305	264	38	will	will	AUX
fuelectenerg-3305	264	39	be	be	AUX
fuelectenerg-3305	264	40	permuted	permute	VERB
fuelectenerg-3305	264	41	or	or	CCONJ
fuelectenerg-3305	264	42	will	will	AUX
fuelectenerg-3305	264	43	change	change	VERB
fuelectenerg-3305	264	44	the	the	DET
fuelectenerg-3305	264	45	sign	sign	NOUN
fuelectenerg-3305	264	46	but	but	CCONJ
fuelectenerg-3305	264	47	their	their	PRON
fuelectenerg-3305	264	48	absolute	absolute	ADJ
fuelectenerg-3305	264	49	values	value	NOUN
fuelectenerg-3305	264	50	remain	remain	VERB
fuelectenerg-3305	264	51	unchanged	unchanged	ADJ
fuelectenerg-3305	264	52	.	.	PUNCT
fuelectenerg-3305	265	1	therefore	therefore	ADV
fuelectenerg-3305	265	2	,	,	PUNCT
fuelectenerg-3305	265	3	this	this	DET
fuelectenerg-3305	265	4	operation	operation	NOUN
fuelectenerg-3305	265	5	can	can	AUX
fuelectenerg-3305	265	6	be	be	AUX
fuelectenerg-3305	265	7	viewed	view	VERB
fuelectenerg-3305	265	8	as	as	ADP
fuelectenerg-3305	265	9	a	a	DET
fuelectenerg-3305	265	10	spectral	spectral	ADJ
fuelectenerg-3305	265	11	invariant	invariant	ADJ
fuelectenerg-3305	265	12	operation	operation	NOUN
fuelectenerg-3305	265	13	in	in	ADP
fuelectenerg-3305	265	14	the	the	DET
fuelectenerg-3305	265	15	sense	sense	NOUN
fuelectenerg-3305	265	16	discussed	discuss	VERB
fuelectenerg-3305	265	17	above	above	ADV
fuelectenerg-3305	265	18	.	.	PUNCT
fuelectenerg-3305	266	1	theorem	theorem	NOUN
fuelectenerg-3305	266	2	1	1	NUM
fuelectenerg-3305	266	3	(	(	PUNCT
fuelectenerg-3305	266	4	adding	add	VERB
fuelectenerg-3305	266	5	to	to	ADP
fuelectenerg-3305	266	6	f	f	PROPN
fuelectenerg-3305	266	7	a	a	DET
fuelectenerg-3305	266	8	product	product	NOUN
fuelectenerg-3305	266	9	of	of	ADP
fuelectenerg-3305	266	10	three	three	NUM
fuelectenerg-3305	266	11	variables	variable	NOUN
fuelectenerg-3305	266	12	)	)	PUNCT
fuelectenerg-3305	266	13	let	let	VERB
fuelectenerg-3305	266	14	f	f	PRON
fuelectenerg-3305	266	15	be	be	AUX
fuelectenerg-3305	266	16	a	a	DET
fuelectenerg-3305	266	17	boolean	boolean	ADJ
fuelectenerg-3305	266	18	function	function	NOUN
fuelectenerg-3305	266	19	of	of	ADP
fuelectenerg-3305	266	20	n	n	DET
fuelectenerg-3305	266	21	variables	variable	NOUN
fuelectenerg-3305	266	22	,	,	PUNCT
fuelectenerg-3305	266	23	which	which	PRON
fuelectenerg-3305	266	24	has	have	VERB
fuelectenerg-3305	266	25	two	two	NUM
fuelectenerg-3305	266	26	disjoint	disjoint	ADJ
fuelectenerg-3305	266	27	products	product	NOUN
fuelectenerg-3305	266	28	of	of	ADP
fuelectenerg-3305	266	29	two	two	NUM
fuelectenerg-3305	266	30	variables	variable	NOUN
fuelectenerg-3305	266	31	in	in	ADP
fuelectenerg-3305	266	32	its	its	PRON
fuelectenerg-3305	266	33	polynomial	polynomial	ADJ
fuelectenerg-3305	266	34	form	form	NOUN
fuelectenerg-3305	266	35	f(x1	f(x1	NOUN
fuelectenerg-3305	266	36	,	,	PUNCT
fuelectenerg-3305	266	37	·	·	PUNCT
fuelectenerg-3305	266	38	·	·	PUNCT
fuelectenerg-3305	266	39	·	·	PUNCT
fuelectenerg-3305	266	40	,	,	PUNCT
fuelectenerg-3305	266	41	xn	xn	X
fuelectenerg-3305	266	42	)	)	PUNCT
fuelectenerg-3305	267	1	=	=	PUNCT
fuelectenerg-3305	267	2	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	267	3	⊕	⊕	PROPN
fuelectenerg-3305	267	4	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	267	5	⊕	⊕	PROPN
fuelectenerg-3305	267	6	h(x1	h(x1	PROPN
fuelectenerg-3305	267	7	,	,	PUNCT
fuelectenerg-3305	267	8	·	·	PUNCT
fuelectenerg-3305	267	9	·	·	PUNCT
fuelectenerg-3305	267	10	·	·	PUNCT
fuelectenerg-3305	267	11	,	,	PUNCT
fuelectenerg-3305	267	12	xk	xk	PROPN
fuelectenerg-3305	267	13	)	)	PUNCT
fuelectenerg-3305	267	14	,	,	PUNCT
fuelectenerg-3305	267	15	where	where	SCONJ
fuelectenerg-3305	267	16	{	{	PUNCT
fuelectenerg-3305	267	17	i1	i1	PROPN
fuelectenerg-3305	267	18	,	,	PUNCT
fuelectenerg-3305	267	19	i2	i2	PROPN
fuelectenerg-3305	267	20	}	}	PUNCT
fuelectenerg-3305	267	21	∩	∩	ADJ
fuelectenerg-3305	267	22	{	{	PUNCT
fuelectenerg-3305	267	23	i3	i3	NOUN
fuelectenerg-3305	267	24	,	,	PUNCT
fuelectenerg-3305	267	25	i4	i4	PROPN
fuelectenerg-3305	267	26	}	}	PUNCT
fuelectenerg-3305	267	27	=	=	NOUN
fuelectenerg-3305	267	28	∅	∅	NOUN
fuelectenerg-3305	267	29	,	,	PUNCT
fuelectenerg-3305	267	30	and	and	CCONJ
fuelectenerg-3305	267	31	h(x1	h(x1	NOUN
fuelectenerg-3305	267	32	,	,	PUNCT
fuelectenerg-3305	267	33	·	·	PUNCT
fuelectenerg-3305	267	34	·	·	PUNCT
fuelectenerg-3305	267	35	·	·	PUNCT
fuelectenerg-3305	267	36	,	,	PUNCT
fuelectenerg-3305	267	37	xk	xk	PROPN
fuelectenerg-3305	267	38	)	)	PUNCT
fuelectenerg-3305	267	39	is	be	AUX
fuelectenerg-3305	267	40	an	an	DET
fuelectenerg-3305	267	41	arbitrary	arbitrary	ADJ
fuelectenerg-3305	267	42	function	function	NOUN
fuelectenerg-3305	267	43	of	of	ADP
fuelectenerg-3305	267	44	{	{	PUNCT
fuelectenerg-3305	267	45	x1	x1	PROPN
fuelectenerg-3305	267	46	,	,	PUNCT
fuelectenerg-3305	267	47	·	·	PUNCT
fuelectenerg-3305	267	48	·	·	PUNCT
fuelectenerg-3305	267	49	·	·	PUNCT
fuelectenerg-3305	267	50	,	,	PUNCT
fuelectenerg-3305	267	51	xk	xk	PROPN
fuelectenerg-3305	267	52	}	}	PUNCT
fuelectenerg-3305	267	53	⊂	⊂	PROPN
fuelectenerg-3305	267	54	{	{	PUNCT
fuelectenerg-3305	267	55	x1	x1	PROPN
fuelectenerg-3305	267	56	,	,	PUNCT
fuelectenerg-3305	267	57	·	·	PUNCT
fuelectenerg-3305	267	58	·	·	PUNCT
fuelectenerg-3305	267	59	·	·	PUNCT
fuelectenerg-3305	267	60	,	,	PUNCT
fuelectenerg-3305	267	61	xn	xn	NUM
fuelectenerg-3305	267	62	}	}	PUNCT
fuelectenerg-3305	267	63	variables	variable	NOUN
fuelectenerg-3305	267	64	.	.	PUNCT
fuelectenerg-3305	268	1	furthermore	furthermore	ADV
fuelectenerg-3305	268	2	,	,	PUNCT
fuelectenerg-3305	268	3	let	let	VERB
fuelectenerg-3305	268	4	g(x1	g(x1	NOUN
fuelectenerg-3305	268	5	,	,	PUNCT
fuelectenerg-3305	268	6	·	·	PUNCT
fuelectenerg-3305	268	7	·	·	PUNCT
fuelectenerg-3305	268	8	·	·	PUNCT
fuelectenerg-3305	268	9	,	,	PUNCT
fuelectenerg-3305	268	10	xn	xn	X
fuelectenerg-3305	268	11	)	)	PUNCT
fuelectenerg-3305	268	12	=	=	SYM
fuelectenerg-3305	269	1	f(x1	f(x1	X
fuelectenerg-3305	269	2	,	,	PUNCT
fuelectenerg-3305	269	3	·	·	PUNCT
fuelectenerg-3305	269	4	·	·	PUNCT
fuelectenerg-3305	269	5	·	·	PUNCT
fuelectenerg-3305	269	6	,	,	PUNCT
fuelectenerg-3305	269	7	xn)⊕	xn)⊕	PUNCT
fuelectenerg-3305	269	8	xj1xj2xj3	xj1xj2xj3	PROPN
fuelectenerg-3305	269	9	,	,	PUNCT
fuelectenerg-3305	269	10	where	where	SCONJ
fuelectenerg-3305	269	11	j1	j1	PROPN
fuelectenerg-3305	269	12	∈	∈	PROPN
fuelectenerg-3305	269	13	{	{	PUNCT
fuelectenerg-3305	269	14	i1	i1	PROPN
fuelectenerg-3305	269	15	,	,	PUNCT
fuelectenerg-3305	269	16	i2	i2	PROPN
fuelectenerg-3305	269	17	}	}	PUNCT
fuelectenerg-3305	269	18	,	,	PUNCT
fuelectenerg-3305	269	19	j2	j2	PROPN
fuelectenerg-3305	269	20	∈	∈	PROPN
fuelectenerg-3305	269	21	{	{	PUNCT
fuelectenerg-3305	269	22	i3	i3	PROPN
fuelectenerg-3305	269	23	,	,	PUNCT
fuelectenerg-3305	269	24	i4	i4	PROPN
fuelectenerg-3305	269	25	}	}	PUNCT
fuelectenerg-3305	269	26	and	and	CCONJ
fuelectenerg-3305	269	27	j3	j3	PROPN
fuelectenerg-3305	269	28	/∈	/∈	PUNCT
fuelectenerg-3305	269	29	{	{	PUNCT
fuelectenerg-3305	269	30	i1	i1	PROPN
fuelectenerg-3305	269	31	,	,	PUNCT
fuelectenerg-3305	269	32	i2	i2	PROPN
fuelectenerg-3305	269	33	,	,	PUNCT
fuelectenerg-3305	269	34	i3	i3	NOUN
fuelectenerg-3305	269	35	,	,	PUNCT
fuelectenerg-3305	269	36	i4	i4	PROPN
fuelectenerg-3305	269	37	}	}	PUNCT
fuelectenerg-3305	269	38	.	.	PUNCT
fuelectenerg-3305	270	1	the	the	DET
fuelectenerg-3305	270	2	walsh	walsh	PROPN
fuelectenerg-3305	270	3	spectral	spectral	ADJ
fuelectenerg-3305	270	4	coefficients	coefficient	NOUN
fuelectenerg-3305	270	5	of	of	ADP
fuelectenerg-3305	270	6	f	f	PROPN
fuelectenerg-3305	270	7	and	and	CCONJ
fuelectenerg-3305	270	8	g	g	PROPN
fuelectenerg-3305	270	9	are	be	AUX
fuelectenerg-3305	270	10	related	relate	VERB
fuelectenerg-3305	270	11	as	as	ADP
fuelectenerg-3305	270	12	sgb1	sgb1	PROPN
fuelectenerg-3305	270	13	,	,	PUNCT
fuelectenerg-3305	270	14	·	·	PUNCT
fuelectenerg-3305	270	15	·	·	PUNCT
fuelectenerg-3305	270	16	·	·	PUNCT
fuelectenerg-3305	270	17	,	,	PUNCT
fuelectenerg-3305	270	18	bj4=1,bj5=1,bj3=0	bj4=1,bj5=1,bj3=0	PROPN
fuelectenerg-3305	270	19	,	,	PUNCT
fuelectenerg-3305	270	20	·	·	PUNCT
fuelectenerg-3305	270	21	·	·	PUNCT
fuelectenerg-3305	270	22	·	·	PUNCT
fuelectenerg-3305	270	23	,	,	PUNCT
fuelectenerg-3305	271	1	bn	bn	X
fuelectenerg-3305	271	2	↔	↔	PROPN
fuelectenerg-3305	271	3	sf	sf	PROPN
fuelectenerg-3305	271	4	b1	b1	PROPN
fuelectenerg-3305	271	5	,	,	PUNCT
fuelectenerg-3305	271	6	·	·	PUNCT
fuelectenerg-3305	271	7	·	·	PUNCT
fuelectenerg-3305	271	8	·	·	PUNCT
fuelectenerg-3305	271	9	,	,	PUNCT
fuelectenerg-3305	271	10	bj4=1,bj5=1,bj3=1	bj4=1,bj5=1,bj3=1	PROPN
fuelectenerg-3305	271	11	,	,	PUNCT
fuelectenerg-3305	271	12	·	·	PUNCT
fuelectenerg-3305	271	13	·	·	PUNCT
fuelectenerg-3305	271	14	·	·	PUNCT
fuelectenerg-3305	271	15	,	,	PUNCT
fuelectenerg-3305	271	16	bn	bn	INTJ
fuelectenerg-3305	271	17	,	,	PUNCT
fuelectenerg-3305	271	18	sgb1	sgb1	PROPN
fuelectenerg-3305	271	19	,	,	PUNCT
fuelectenerg-3305	271	20	·	·	PUNCT
fuelectenerg-3305	271	21	·	·	PUNCT
fuelectenerg-3305	271	22	·	·	PUNCT
fuelectenerg-3305	271	23	,	,	PUNCT
fuelectenerg-3305	271	24	bj4=1,bj5=1,bj3=1	bj4=1,bj5=1,bj3=1	PROPN
fuelectenerg-3305	271	25	,	,	PUNCT
fuelectenerg-3305	271	26	·	·	PUNCT
fuelectenerg-3305	271	27	·	·	PUNCT
fuelectenerg-3305	271	28	·	·	PUNCT
fuelectenerg-3305	271	29	,	,	PUNCT
fuelectenerg-3305	271	30	bn	bn	X
fuelectenerg-3305	271	31	↔	↔	PROPN
fuelectenerg-3305	271	32	sf	sf	PROPN
fuelectenerg-3305	271	33	b1	b1	PROPN
fuelectenerg-3305	271	34	,	,	PUNCT
fuelectenerg-3305	271	35	·	·	PUNCT
fuelectenerg-3305	271	36	·	·	PUNCT
fuelectenerg-3305	271	37	·	·	PUNCT
fuelectenerg-3305	271	38	,	,	PUNCT
fuelectenerg-3305	271	39	bj4=1,bj5=1,bj3=0	bj4=1,bj5=1,bj3=0	PROPN
fuelectenerg-3305	271	40	,	,	PUNCT
fuelectenerg-3305	271	41	·	·	PUNCT
fuelectenerg-3305	271	42	·	·	PUNCT
fuelectenerg-3305	271	43	·	·	PUNCT
fuelectenerg-3305	271	44	,	,	PUNCT
fuelectenerg-3305	271	45	bn	bn	INTJ
fuelectenerg-3305	271	46	,	,	PUNCT
fuelectenerg-3305	271	47	where	where	SCONJ
fuelectenerg-3305	271	48	j4	j4	PROPN
fuelectenerg-3305	271	49	=	=	SYM
fuelectenerg-3305	271	50	{	{	PUNCT
fuelectenerg-3305	271	51	i1	i1	PROPN
fuelectenerg-3305	271	52	,	,	PUNCT
fuelectenerg-3305	271	53	i2	i2	PROPN
fuelectenerg-3305	271	54	}	}	PUNCT
fuelectenerg-3305	271	55	\	\	PROPN
fuelectenerg-3305	271	56	j1	j1	PROPN
fuelectenerg-3305	271	57	and	and	CCONJ
fuelectenerg-3305	271	58	j5	j5	PROPN
fuelectenerg-3305	271	59	=	=	SYM
fuelectenerg-3305	271	60	{	{	PUNCT
fuelectenerg-3305	271	61	i3	i3	PROPN
fuelectenerg-3305	271	62	,	,	PUNCT
fuelectenerg-3305	271	63	i4	i4	PROPN
fuelectenerg-3305	271	64	}	}	PUNCT
fuelectenerg-3305	271	65	\	\	PROPN
fuelectenerg-3305	271	66	j2	j2	PROPN
fuelectenerg-3305	271	67	.	.	PROPN
fuelectenerg-3305	271	68	coefficients	coefficient	NOUN
fuelectenerg-3305	271	69	with	with	ADP
fuelectenerg-3305	271	70	bj4	bj4	NOUN
fuelectenerg-3305	271	71	=	=	NOUN
fuelectenerg-3305	271	72	bj5	bj5	NOUN
fuelectenerg-3305	271	73	=	=	SYM
fuelectenerg-3305	271	74	1	1	NUM
fuelectenerg-3305	271	75	,	,	PUNCT
fuelectenerg-3305	271	76	and	and	CCONJ
fuelectenerg-3305	271	77	bj3	bj3	ADJ
fuelectenerg-3305	271	78	=	=	NOUN
fuelectenerg-3305	271	79	0	0	NUM
fuelectenerg-3305	271	80	in	in	ADP
fuelectenerg-3305	271	81	the	the	DET
fuelectenerg-3305	271	82	subscripts	subscript	NOUN
fuelectenerg-3305	271	83	are	be	AUX
fuelectenerg-3305	271	84	permuted	permute	VERB
fuelectenerg-3305	271	85	with	with	ADP
fuelectenerg-3305	271	86	the	the	DET
fuelectenerg-3305	271	87	coefficients	coefficient	NOUN
fuelectenerg-3305	271	88	with	with	ADP
fuelectenerg-3305	271	89	bj4	bj4	NOUN
fuelectenerg-3305	271	90	=	=	NOUN
fuelectenerg-3305	271	91	bj5	bj5	NOUN
fuelectenerg-3305	271	92	=	=	SYM
fuelectenerg-3305	271	93	1	1	NUM
fuelectenerg-3305	271	94	,	,	PUNCT
fuelectenerg-3305	271	95	and	and	CCONJ
fuelectenerg-3305	271	96	bj3	bj3	ADJ
fuelectenerg-3305	271	97	=	=	NOUN
fuelectenerg-3305	271	98	1	1	NUM
fuelectenerg-3305	271	99	in	in	ADP
fuelectenerg-3305	271	100	the	the	DET
fuelectenerg-3305	271	101	subscripts	subscript	NOUN
fuelectenerg-3305	271	102	.	.	PUNCT
fuelectenerg-3305	272	1	proof	proof	NOUN
fuelectenerg-3305	272	2	:	:	PUNCT
fuelectenerg-3305	272	3	for	for	ADP
fuelectenerg-3305	272	4	simplicity	simplicity	NOUN
fuelectenerg-3305	272	5	assume	assume	VERB
fuelectenerg-3305	272	6	that	that	SCONJ
fuelectenerg-3305	272	7	h	h	NOUN
fuelectenerg-3305	272	8	does	do	AUX
fuelectenerg-3305	272	9	not	not	PART
fuelectenerg-3305	272	10	appear	appear	VERB
fuelectenerg-3305	272	11	in	in	ADP
fuelectenerg-3305	272	12	f	f	PROPN
fuelectenerg-3305	272	13	,	,	PUNCT
fuelectenerg-3305	272	14	h(x1	h(x1	PROPN
fuelectenerg-3305	272	15	,	,	PUNCT
fuelectenerg-3305	272	16	·	·	PUNCT
fuelectenerg-3305	272	17	·	·	PUNCT
fuelectenerg-3305	272	18	·	·	PUNCT
fuelectenerg-3305	272	19	,	,	PUNCT
fuelectenerg-3305	272	20	xk	xk	PROPN
fuelectenerg-3305	272	21	)	)	PUNCT
fuelectenerg-3305	272	22	=	=	SYM
fuelectenerg-3305	272	23	0	0	X
fuelectenerg-3305	272	24	.	.	PUNCT
fuelectenerg-3305	273	1	therefore	therefore	ADV
fuelectenerg-3305	273	2	,	,	PUNCT
fuelectenerg-3305	273	3	consider	consider	VERB
fuelectenerg-3305	273	4	a	a	DET
fuelectenerg-3305	273	5	function	function	NOUN
fuelectenerg-3305	273	6	f(x1	f(x1	NOUN
fuelectenerg-3305	273	7	,	,	PUNCT
fuelectenerg-3305	273	8	·	·	PUNCT
fuelectenerg-3305	273	9	·	·	PUNCT
fuelectenerg-3305	273	10	·	·	PUNCT
fuelectenerg-3305	273	11	,	,	PUNCT
fuelectenerg-3305	273	12	xn	xn	X
fuelectenerg-3305	273	13	)	)	PUNCT
fuelectenerg-3305	273	14	in	in	ADP
fuelectenerg-3305	273	15	n	n	DET
fuelectenerg-3305	273	16	variables	variable	NOUN
fuelectenerg-3305	273	17	defined	define	VERB
fuelectenerg-3305	273	18	by	by	ADP
fuelectenerg-3305	273	19	the	the	DET
fuelectenerg-3305	273	20	polynomial	polynomial	ADJ
fuelectenerg-3305	273	21	form	form	NOUN
fuelectenerg-3305	273	22	consisting	consist	VERB
fuelectenerg-3305	273	23	of	of	ADP
fuelectenerg-3305	273	24	two	two	NUM
fuelectenerg-3305	273	25	disjoint	disjoint	ADJ
fuelectenerg-3305	273	26	product	product	NOUN
fuelectenerg-3305	273	27	terms	term	NOUN
fuelectenerg-3305	273	28	of	of	ADP
fuelectenerg-3305	273	29	pairs	pair	NOUN
fuelectenerg-3305	273	30	of	of	ADP
fuelectenerg-3305	273	31	variable	variable	ADJ
fuelectenerg-3305	273	32	f(x1	f(x1	NOUN
fuelectenerg-3305	273	33	,	,	PUNCT
fuelectenerg-3305	273	34	·	·	PUNCT
fuelectenerg-3305	273	35	·	·	PUNCT
fuelectenerg-3305	273	36	·	·	PUNCT
fuelectenerg-3305	273	37	,	,	PUNCT
fuelectenerg-3305	273	38	xn	xn	X
fuelectenerg-3305	273	39	)	)	PUNCT
fuelectenerg-3305	273	40	=	=	PUNCT
fuelectenerg-3305	273	41	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	273	42	⊕	⊕	PROPN
fuelectenerg-3305	273	43	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	273	44	.	.	PUNCT
fuelectenerg-3305	274	1	an	an	DET
fuelectenerg-3305	274	2	improved	improve	VERB
fuelectenerg-3305	274	3	spectral	spectral	ADJ
fuelectenerg-3305	274	4	classification	classification	NOUN
fuelectenerg-3305	274	5	of	of	ADP
fuelectenerg-3305	274	6	boolean	boolean	ADJ
fuelectenerg-3305	274	7	functions	function	NOUN
fuelectenerg-3305	274	8	...	...	PUNCT
fuelectenerg-3305	274	9	9	9	NUM
fuelectenerg-3305	274	10	table	table	NOUN
fuelectenerg-3305	274	11	5	5	NUM
fuelectenerg-3305	274	12	:	:	PUNCT
fuelectenerg-3305	274	13	variables	variable	NOUN
fuelectenerg-3305	274	14	,	,	PUNCT
fuelectenerg-3305	274	15	functions	function	NOUN
fuelectenerg-3305	274	16	,	,	PUNCT
fuelectenerg-3305	274	17	and	and	CCONJ
fuelectenerg-3305	274	18	spectral	spectral	ADJ
fuelectenerg-3305	274	19	coefficients	coefficient	NOUN
fuelectenerg-3305	274	20	in	in	ADP
fuelectenerg-3305	274	21	the	the	DET
fuelectenerg-3305	274	22	proof	proof	NOUN
fuelectenerg-3305	274	23	of	of	ADP
fuelectenerg-3305	274	24	theorem	theorem	NOUN
fuelectenerg-3305	274	25	1	1	NUM
fuelectenerg-3305	274	26	.	.	PUNCT
fuelectenerg-3305	275	1	xi1	xi1	PROPN
fuelectenerg-3305	275	2	xi2	xi2	PROPN
fuelectenerg-3305	275	3	xi3	xi3	PROPN
fuelectenerg-3305	276	1	xi4	xi4	NOUN
fuelectenerg-3305	277	1	xi5	xi5	PROPN
fuelectenerg-3305	278	1	f	f	PROPN
fuelectenerg-3305	279	1	g	g	PROPN
fuelectenerg-3305	279	2	f	f	PROPN
fuelectenerg-3305	279	3	g	g	PROPN
fuelectenerg-3305	279	4	w2,4	w2,4	PROPN
fuelectenerg-3305	279	5	w2,4,5	w2,4,5	PROPN
fuelectenerg-3305	279	6	sf1,1,0	sf1,1,0	NOUN
fuelectenerg-3305	279	7	sg1,1,1	sg1,1,1	NOUN
fuelectenerg-3305	279	8	1	1	NUM
fuelectenerg-3305	279	9	0	0	NUM
fuelectenerg-3305	279	10	1	1	NUM
fuelectenerg-3305	279	11	0	0	NUM
fuelectenerg-3305	279	12	1	1	NUM
fuelectenerg-3305	279	13	0	0	NUM
fuelectenerg-3305	279	14	1	1	NUM
fuelectenerg-3305	279	15	1	1	NUM
fuelectenerg-3305	279	16	-1	-1	SYM
fuelectenerg-3305	279	17	1	1	NUM
fuelectenerg-3305	279	18	-1	-1	SYM
fuelectenerg-3305	279	19	1	1	NUM
fuelectenerg-3305	279	20	1	1	NUM
fuelectenerg-3305	279	21	1	1	NUM
fuelectenerg-3305	279	22	0	0	NUM
fuelectenerg-3305	279	23	1	1	NUM
fuelectenerg-3305	279	24	1	1	NUM
fuelectenerg-3305	279	25	1	1	NUM
fuelectenerg-3305	279	26	1	1	NUM
fuelectenerg-3305	279	27	0	0	NUM
fuelectenerg-3305	279	28	-1	-1	SYM
fuelectenerg-3305	279	29	1	1	NUM
fuelectenerg-3305	279	30	-1	-1	SYM
fuelectenerg-3305	279	31	1	1	NUM
fuelectenerg-3305	279	32	1	1	NUM
fuelectenerg-3305	279	33	1	1	NUM
fuelectenerg-3305	279	34	1	1	NUM
fuelectenerg-3305	279	35	1	1	NUM
fuelectenerg-3305	279	36	1	1	NUM
fuelectenerg-3305	279	37	0	0	NUM
fuelectenerg-3305	279	38	1	1	NUM
fuelectenerg-3305	279	39	1	1	NUM
fuelectenerg-3305	279	40	0	0	NUM
fuelectenerg-3305	279	41	-1	-1	SYM
fuelectenerg-3305	279	42	1	1	NUM
fuelectenerg-3305	279	43	-1	-1	SYM
fuelectenerg-3305	279	44	1	1	NUM
fuelectenerg-3305	279	45	1	1	NUM
fuelectenerg-3305	279	46	1	1	NUM
fuelectenerg-3305	279	47	1	1	NUM
fuelectenerg-3305	279	48	1	1	NUM
fuelectenerg-3305	279	49	1	1	NUM
fuelectenerg-3305	279	50	1	1	NUM
fuelectenerg-3305	279	51	1	1	NUM
fuelectenerg-3305	279	52	0	0	NUM
fuelectenerg-3305	279	53	1	1	NUM
fuelectenerg-3305	279	54	1	1	NUM
fuelectenerg-3305	279	55	-1	-1	SYM
fuelectenerg-3305	279	56	1	1	NUM
fuelectenerg-3305	279	57	-1	-1	SYM
fuelectenerg-3305	279	58	1	1	NUM
fuelectenerg-3305	279	59	1	1	NUM
fuelectenerg-3305	279	60	by	by	ADP
fuelectenerg-3305	279	61	adding	add	VERB
fuelectenerg-3305	279	62	the	the	DET
fuelectenerg-3305	279	63	product	product	NOUN
fuelectenerg-3305	279	64	of	of	ADP
fuelectenerg-3305	279	65	variables	variable	NOUN
fuelectenerg-3305	279	66	xj1xj2xj3	xj1xj2xj3	PROPN
fuelectenerg-3305	279	67	where	where	SCONJ
fuelectenerg-3305	279	68	j1	j1	PROPN
fuelectenerg-3305	279	69	∈	∈	PROPN
fuelectenerg-3305	279	70	{	{	PUNCT
fuelectenerg-3305	279	71	i1	i1	PROPN
fuelectenerg-3305	279	72	,	,	PUNCT
fuelectenerg-3305	279	73	i2	i2	PROPN
fuelectenerg-3305	279	74	}	}	PUNCT
fuelectenerg-3305	279	75	,	,	PUNCT
fuelectenerg-3305	279	76	j2	j2	PROPN
fuelectenerg-3305	279	77	∈	∈	PROPN
fuelectenerg-3305	279	78	{	{	PUNCT
fuelectenerg-3305	279	79	(	(	PUNCT
fuelectenerg-3305	279	80	i3	i3	NOUN
fuelectenerg-3305	279	81	,	,	PUNCT
fuelectenerg-3305	279	82	i4	i4	PROPN
fuelectenerg-3305	279	83	}	}	PUNCT
fuelectenerg-3305	279	84	and	and	CCONJ
fuelectenerg-3305	279	85	j3	j3	PROPN
fuelectenerg-3305	279	86	/∈	/∈	PUNCT
fuelectenerg-3305	279	87	{	{	PUNCT
fuelectenerg-3305	279	88	i1	i1	PROPN
fuelectenerg-3305	279	89	,	,	PUNCT
fuelectenerg-3305	279	90	i2	i2	PROPN
fuelectenerg-3305	279	91	,	,	PUNCT
fuelectenerg-3305	279	92	i3	i3	NOUN
fuelectenerg-3305	279	93	,	,	PUNCT
fuelectenerg-3305	279	94	i4	i4	PROPN
fuelectenerg-3305	279	95	}	}	PUNCT
fuelectenerg-3305	279	96	,	,	PUNCT
fuelectenerg-3305	279	97	we	we	PRON
fuelectenerg-3305	279	98	get	get	VERB
fuelectenerg-3305	279	99	the	the	DET
fuelectenerg-3305	279	100	function	function	NOUN
fuelectenerg-3305	279	101	g(x1	g(x1	NOUN
fuelectenerg-3305	279	102	,	,	PUNCT
fuelectenerg-3305	279	103	·	·	PUNCT
fuelectenerg-3305	279	104	·	·	PUNCT
fuelectenerg-3305	279	105	·	·	PUNCT
fuelectenerg-3305	279	106	,	,	PUNCT
fuelectenerg-3305	279	107	xn	xn	X
fuelectenerg-3305	279	108	)	)	PUNCT
fuelectenerg-3305	280	1	=	=	PUNCT
fuelectenerg-3305	280	2	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	280	3	⊕	⊕	PROPN
fuelectenerg-3305	280	4	xi3xi4	xi3xi4	X
fuelectenerg-3305	280	5	·	·	PUNCT
fuelectenerg-3305	280	6	·	·	PUNCT
fuelectenerg-3305	280	7	·	·	PUNCT
fuelectenerg-3305	280	8	⊕	⊕	PROPN
fuelectenerg-3305	280	9	xj1xj2xj3	xj1xj2xj3	PUNCT
fuelectenerg-3305	280	10	.	.	PUNCT
fuelectenerg-3305	281	1	to	to	PART
fuelectenerg-3305	281	2	simplify	simplify	VERB
fuelectenerg-3305	281	3	the	the	DET
fuelectenerg-3305	281	4	notation	notation	NOUN
fuelectenerg-3305	281	5	in	in	ADP
fuelectenerg-3305	281	6	the	the	DET
fuelectenerg-3305	281	7	proof	proof	NOUN
fuelectenerg-3305	281	8	,	,	PUNCT
fuelectenerg-3305	281	9	consider	consider	VERB
fuelectenerg-3305	281	10	the	the	DET
fuelectenerg-3305	281	11	case	case	NOUN
fuelectenerg-3305	281	12	when	when	SCONJ
fuelectenerg-3305	281	13	j1	j1	PROPN
fuelectenerg-3305	281	14	=	=	PROPN
fuelectenerg-3305	281	15	i1	i1	PROPN
fuelectenerg-3305	281	16	,	,	PUNCT
fuelectenerg-3305	281	17	j2	j2	PROPN
fuelectenerg-3305	281	18	=	=	SYM
fuelectenerg-3305	281	19	i3	i3	PROPN
fuelectenerg-3305	281	20	,	,	PUNCT
fuelectenerg-3305	281	21	and	and	CCONJ
fuelectenerg-3305	281	22	j3	j3	PROPN
fuelectenerg-3305	281	23	=	=	SYM
fuelectenerg-3305	281	24	i5	i5	PROPN
fuelectenerg-3305	281	25	.	.	PUNCT
fuelectenerg-3305	282	1	by	by	ADP
fuelectenerg-3305	282	2	adding	add	VERB
fuelectenerg-3305	282	3	the	the	DET
fuelectenerg-3305	282	4	product	product	NOUN
fuelectenerg-3305	282	5	xi1xi3xi5	xi1xi3xi5	PROPN
fuelectenerg-3305	282	6	only	only	ADV
fuelectenerg-3305	282	7	the	the	DET
fuelectenerg-3305	282	8	values	value	NOUN
fuelectenerg-3305	282	9	of	of	ADP
fuelectenerg-3305	282	10	the	the	DET
fuelectenerg-3305	282	11	function	function	NOUN
fuelectenerg-3305	282	12	f	f	PROPN
fuelectenerg-3305	282	13	for	for	ADP
fuelectenerg-3305	282	14	xi1	xi1	PROPN
fuelectenerg-3305	282	15	=	=	SYM
fuelectenerg-3305	282	16	1	1	NUM
fuelectenerg-3305	282	17	,	,	PUNCT
fuelectenerg-3305	282	18	xi3	xi3	NOUN
fuelectenerg-3305	282	19	=	=	NOUN
fuelectenerg-3305	282	20	1	1	NUM
fuelectenerg-3305	282	21	,	,	PUNCT
fuelectenerg-3305	282	22	and	and	CCONJ
fuelectenerg-3305	282	23	xi5	xi5	PROPN
fuelectenerg-3305	282	24	=	=	SYM
fuelectenerg-3305	282	25	1	1	NUM
fuelectenerg-3305	282	26	will	will	AUX
fuelectenerg-3305	282	27	be	be	AUX
fuelectenerg-3305	282	28	complemented	complement	VERB
fuelectenerg-3305	282	29	.	.	PUNCT
fuelectenerg-3305	283	1	since	since	SCONJ
fuelectenerg-3305	283	2	f(x1	f(x1	NOUN
fuelectenerg-3305	283	3	,	,	PUNCT
fuelectenerg-3305	283	4	·	·	PUNCT
fuelectenerg-3305	283	5	·	·	PUNCT
fuelectenerg-3305	283	6	·	·	PUNCT
fuelectenerg-3305	283	7	,	,	PUNCT
fuelectenerg-3305	283	8	xn	xn	X
fuelectenerg-3305	283	9	)	)	PUNCT
fuelectenerg-3305	283	10	=	=	PUNCT
fuelectenerg-3305	283	11	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	283	12	⊕xi3xi4	⊕xi3xi4	PROPN
fuelectenerg-3305	283	13	,	,	PUNCT
fuelectenerg-3305	283	14	the	the	DET
fuelectenerg-3305	283	15	values	value	NOUN
fuelectenerg-3305	283	16	of	of	ADP
fuelectenerg-3305	283	17	the	the	DET
fuelectenerg-3305	283	18	function	function	NOUN
fuelectenerg-3305	283	19	in	in	ADP
fuelectenerg-3305	283	20	these	these	DET
fuelectenerg-3305	283	21	points	point	NOUN
fuelectenerg-3305	283	22	are	be	AUX
fuelectenerg-3305	283	23	f(x1	f(x1	ADJ
fuelectenerg-3305	283	24	,	,	PUNCT
fuelectenerg-3305	283	25	·	·	PUNCT
fuelectenerg-3305	283	26	·	·	PUNCT
fuelectenerg-3305	283	27	·	·	PUNCT
fuelectenerg-3305	283	28	,	,	PUNCT
fuelectenerg-3305	283	29	xn	xn	X
fuelectenerg-3305	283	30	)	)	PUNCT
fuelectenerg-3305	283	31	=	=	SYM
fuelectenerg-3305	284	1	1	1	X
fuelectenerg-3305	284	2	·	·	PUNCT
fuelectenerg-3305	284	3	xi2	xi2	PROPN
fuelectenerg-3305	284	4	⊕	⊕	PROPN
fuelectenerg-3305	284	5	1	1	NUM
fuelectenerg-3305	284	6	·	·	PUNCT
fuelectenerg-3305	284	7	xi4	xi4	NUM
fuelectenerg-3305	285	1	=	=	PUNCT
fuelectenerg-3305	285	2	xi2	xi2	PROPN
fuelectenerg-3305	285	3	⊕	⊕	PROPN
fuelectenerg-3305	285	4	xi4	xi4	PROPN
fuelectenerg-3305	285	5	,	,	PUNCT
fuelectenerg-3305	285	6	and	and	CCONJ
fuelectenerg-3305	285	7	the	the	DET
fuelectenerg-3305	285	8	values	value	NOUN
fuelectenerg-3305	285	9	of	of	ADP
fuelectenerg-3305	285	10	the	the	DET
fuelectenerg-3305	285	11	function	function	NOUN
fuelectenerg-3305	285	12	g(x1	g(x1	NOUN
fuelectenerg-3305	285	13	,	,	PUNCT
fuelectenerg-3305	285	14	·	·	PUNCT
fuelectenerg-3305	285	15	·	·	PUNCT
fuelectenerg-3305	285	16	·	·	PUNCT
fuelectenerg-3305	285	17	,	,	PUNCT
fuelectenerg-3305	285	18	xn	xn	X
fuelectenerg-3305	285	19	)	)	PUNCT
fuelectenerg-3305	285	20	=	=	PUNCT
fuelectenerg-3305	286	1	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	286	2	⊕	⊕	PROPN
fuelectenerg-3305	286	3	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	286	4	⊕	⊕	PROPN
fuelectenerg-3305	286	5	xi1xi3xi5	xi1xi3xi5	PUNCT
fuelectenerg-3305	287	1	=	=	SYM
fuelectenerg-3305	287	2	1	1	X
fuelectenerg-3305	287	3	·	·	PUNCT
fuelectenerg-3305	287	4	xi2	xi2	PROPN
fuelectenerg-3305	287	5	⊕	⊕	PROPN
fuelectenerg-3305	287	6	1	1	NUM
fuelectenerg-3305	287	7	·	·	PUNCT
fuelectenerg-3305	287	8	xi4	xi4	NOUN
fuelectenerg-3305	288	1	⊕	⊕	NOUN
fuelectenerg-3305	288	2	1	1	NUM
fuelectenerg-3305	288	3	=	=	SYM
fuelectenerg-3305	288	4	xi2	xi2	PROPN
fuelectenerg-3305	288	5	⊕	⊕	PROPN
fuelectenerg-3305	288	6	xi4	xi4	PROPN
fuelectenerg-3305	289	1	⊕	⊕	PROPN
fuelectenerg-3305	289	2	1	1	NUM
fuelectenerg-3305	289	3	,	,	PUNCT
fuelectenerg-3305	289	4	as	as	SCONJ
fuelectenerg-3305	289	5	it	it	PRON
fuelectenerg-3305	289	6	is	be	AUX
fuelectenerg-3305	289	7	shown	show	VERB
fuelectenerg-3305	289	8	in	in	ADP
fuelectenerg-3305	289	9	table	table	NOUN
fuelectenerg-3305	289	10	5	5	NUM
fuelectenerg-3305	289	11	.	.	PUNCT
fuelectenerg-3305	290	1	in	in	ADP
fuelectenerg-3305	290	2	this	this	DET
fuelectenerg-3305	290	3	table	table	NOUN
fuelectenerg-3305	290	4	the	the	DET
fuelectenerg-3305	290	5	first	first	ADJ
fuelectenerg-3305	290	6	five	five	NUM
fuelectenerg-3305	290	7	columns	column	NOUN
fuelectenerg-3305	290	8	show	show	VERB
fuelectenerg-3305	290	9	the	the	DET
fuelectenerg-3305	290	10	values	value	NOUN
fuelectenerg-3305	290	11	of	of	ADP
fuelectenerg-3305	290	12	the	the	DET
fuelectenerg-3305	290	13	input	input	NOUN
fuelectenerg-3305	290	14	variables	variable	NOUN
fuelectenerg-3305	290	15	xi1	xi1	PROPN
fuelectenerg-3305	290	16	,	,	PUNCT
fuelectenerg-3305	290	17	xi2	xi2	PROPN
fuelectenerg-3305	290	18	,	,	PUNCT
fuelectenerg-3305	290	19	xi3	xi3	NOUN
fuelectenerg-3305	290	20	,	,	PUNCT
fuelectenerg-3305	290	21	xi4	xi4	NOUN
fuelectenerg-3305	290	22	,	,	PUNCT
fuelectenerg-3305	290	23	and	and	CCONJ
fuelectenerg-3305	290	24	xi5	xi5	PROPN
fuelectenerg-3305	290	25	.	.	PUNCT
fuelectenerg-3305	291	1	in	in	ADP
fuelectenerg-3305	291	2	columns	column	NOUN
fuelectenerg-3305	291	3	f	f	PROPN
fuelectenerg-3305	291	4	,	,	PUNCT
fuelectenerg-3305	291	5	g	g	PROPN
fuelectenerg-3305	291	6	,	,	PUNCT
fuelectenerg-3305	291	7	f	f	PROPN
fuelectenerg-3305	291	8	,	,	PUNCT
fuelectenerg-3305	291	9	and	and	CCONJ
fuelectenerg-3305	291	10	g	g	NOUN
fuelectenerg-3305	291	11	,	,	PUNCT
fuelectenerg-3305	291	12	the	the	DET
fuelectenerg-3305	291	13	values	value	NOUN
fuelectenerg-3305	291	14	of	of	ADP
fuelectenerg-3305	291	15	functions	function	NOUN
fuelectenerg-3305	291	16	f	f	PROPN
fuelectenerg-3305	291	17	and	and	CCONJ
fuelectenerg-3305	291	18	g	g	PROPN
fuelectenerg-3305	291	19	in	in	ADP
fuelectenerg-3305	291	20	(	(	PUNCT
fuelectenerg-3305	291	21	0	0	NUM
fuelectenerg-3305	291	22	,	,	PUNCT
fuelectenerg-3305	291	23	1	1	NUM
fuelectenerg-3305	291	24	)	)	PUNCT
fuelectenerg-3305	291	25	and	and	CCONJ
fuelectenerg-3305	291	26	f	f	PROPN
fuelectenerg-3305	291	27	and	and	CCONJ
fuelectenerg-3305	291	28	g	g	PROPN
fuelectenerg-3305	291	29	in	in	ADP
fuelectenerg-3305	291	30	the	the	DET
fuelectenerg-3305	291	31	(	(	PUNCT
fuelectenerg-3305	291	32	1,−1	1,−1	NUM
fuelectenerg-3305	291	33	)	)	PUNCT
fuelectenerg-3305	291	34	encoding	encoding	NOUN
fuelectenerg-3305	291	35	are	be	AUX
fuelectenerg-3305	291	36	shown	show	VERB
fuelectenerg-3305	291	37	.	.	PUNCT
fuelectenerg-3305	292	1	in	in	ADP
fuelectenerg-3305	292	2	the	the	DET
fuelectenerg-3305	292	3	next	next	ADJ
fuelectenerg-3305	292	4	two	two	NUM
fuelectenerg-3305	292	5	columns	column	NOUN
fuelectenerg-3305	292	6	the	the	DET
fuelectenerg-3305	292	7	values	value	NOUN
fuelectenerg-3305	292	8	of	of	ADP
fuelectenerg-3305	292	9	the	the	DET
fuelectenerg-3305	292	10	rows	row	NOUN
fuelectenerg-3305	292	11	in	in	ADP
fuelectenerg-3305	292	12	the	the	DET
fuelectenerg-3305	292	13	walsh	walsh	NOUN
fuelectenerg-3305	292	14	matrix	matrix	NOUN
fuelectenerg-3305	292	15	w2,4	w2,4	PROPN
fuelectenerg-3305	292	16	and	and	CCONJ
fuelectenerg-3305	292	17	w2,4,5	w2,4,5	PROPN
fuelectenerg-3305	292	18	through	through	ADP
fuelectenerg-3305	292	19	which	which	PRON
fuelectenerg-3305	292	20	the	the	DET
fuelectenerg-3305	292	21	coefficients	coefficient	NOUN
fuelectenerg-3305	292	22	sbi2=1,bi4=1	sbi2=1,bi4=1	PROPN
fuelectenerg-3305	292	23	and	and	CCONJ
fuelectenerg-3305	292	24	sbi2=1,bi4=1,bi5=1	sbi2=1,bi4=1,bi5=1	PROPN
fuelectenerg-3305	292	25	are	be	AUX
fuelectenerg-3305	292	26	calculated	calculate	VERB
fuelectenerg-3305	292	27	.	.	PUNCT
fuelectenerg-3305	293	1	in	in	ADP
fuelectenerg-3305	293	2	the	the	DET
fuelectenerg-3305	293	3	last	last	ADJ
fuelectenerg-3305	293	4	two	two	NUM
fuelectenerg-3305	293	5	columns	column	NOUN
fuelectenerg-3305	293	6	,	,	PUNCT
fuelectenerg-3305	293	7	denoted	denote	VERB
fuelectenerg-3305	293	8	as	as	ADP
fuelectenerg-3305	293	9	sf1,1,0	sf1,1,0	NOUN
fuelectenerg-3305	293	10	and	and	CCONJ
fuelectenerg-3305	293	11	sg1,1,1	sg1,1,1	PROPN
fuelectenerg-3305	293	12	,	,	PUNCT
fuelectenerg-3305	293	13	the	the	DET
fuelectenerg-3305	293	14	values	value	NOUN
fuelectenerg-3305	293	15	of	of	ADP
fuelectenerg-3305	293	16	the	the	DET
fuelectenerg-3305	293	17	coefficients	coefficient	NOUN
fuelectenerg-3305	293	18	sbi2=1,bi4=1,bi5=0	sbi2=1,bi4=1,bi5=0	VERB
fuelectenerg-3305	293	19	for	for	ADP
fuelectenerg-3305	293	20	the	the	DET
fuelectenerg-3305	293	21	function	function	NOUN
fuelectenerg-3305	293	22	f	f	PROPN
fuelectenerg-3305	293	23	and	and	CCONJ
fuelectenerg-3305	293	24	the	the	DET
fuelectenerg-3305	293	25	values	value	NOUN
fuelectenerg-3305	293	26	of	of	ADP
fuelectenerg-3305	293	27	the	the	DET
fuelectenerg-3305	293	28	coefficients	coefficient	NOUN
fuelectenerg-3305	293	29	sbi2=1,bi4=1,bi5=1	sbi2=1,bi4=1,bi5=1	PROPN
fuelectenerg-3305	293	30	for	for	ADP
fuelectenerg-3305	293	31	the	the	DET
fuelectenerg-3305	293	32	function	function	NOUN
fuelectenerg-3305	293	33	g	g	NOUN
fuelectenerg-3305	293	34	are	be	AUX
fuelectenerg-3305	293	35	shown	show	VERB
fuelectenerg-3305	293	36	.	.	PUNCT
fuelectenerg-3305	294	1	the	the	DET
fuelectenerg-3305	294	2	values	value	NOUN
fuelectenerg-3305	294	3	in	in	ADP
fuelectenerg-3305	294	4	the	the	DET
fuelectenerg-3305	294	5	column	column	NOUN
fuelectenerg-3305	294	6	f	f	PROPN
fuelectenerg-3305	294	7	are	be	AUX
fuelectenerg-3305	294	8	in	in	ADP
fuelectenerg-3305	294	9	correlation	correlation	NOUN
fuelectenerg-3305	294	10	with	with	ADP
fuelectenerg-3305	294	11	the	the	DET
fuelectenerg-3305	294	12	values	value	NOUN
fuelectenerg-3305	294	13	of	of	ADP
fuelectenerg-3305	294	14	the	the	DET
fuelectenerg-3305	294	15	walsh	walsh	NOUN
fuelectenerg-3305	294	16	function	function	PROPN
fuelectenerg-3305	294	17	w2,4	w2,4	PROPN
fuelectenerg-3305	294	18	which	which	PRON
fuelectenerg-3305	294	19	is	be	AUX
fuelectenerg-3305	294	20	used	use	VERB
fuelectenerg-3305	294	21	for	for	ADP
fuelectenerg-3305	294	22	calculation	calculation	NOUN
fuelectenerg-3305	294	23	of	of	ADP
fuelectenerg-3305	294	24	the	the	DET
fuelectenerg-3305	294	25	coefficients	coefficient	NOUN
fuelectenerg-3305	294	26	with	with	ADP
fuelectenerg-3305	294	27	bi2	bi2	PROPN
fuelectenerg-3305	294	28	=	=	SYM
fuelectenerg-3305	294	29	1	1	NUM
fuelectenerg-3305	294	30	,	,	PUNCT
fuelectenerg-3305	294	31	bi4	bi4	NOUN
fuelectenerg-3305	294	32	=	=	SYM
fuelectenerg-3305	294	33	1	1	NUM
fuelectenerg-3305	294	34	,	,	PUNCT
fuelectenerg-3305	294	35	and	and	CCONJ
fuelectenerg-3305	294	36	bi5	bi5	VERB
fuelectenerg-3305	294	37	=	=	PUNCT
fuelectenerg-3305	294	38	0	0	NUM
fuelectenerg-3305	294	39	in	in	ADP
fuelectenerg-3305	294	40	the	the	DET
fuelectenerg-3305	294	41	subscript	subscript	NOUN
fuelectenerg-3305	294	42	,	,	PUNCT
fuelectenerg-3305	294	43	while	while	SCONJ
fuelectenerg-3305	294	44	the	the	DET
fuelectenerg-3305	294	45	values	value	NOUN
fuelectenerg-3305	294	46	of	of	ADP
fuelectenerg-3305	294	47	the	the	DET
fuelectenerg-3305	294	48	column	column	NOUN
fuelectenerg-3305	294	49	g	g	PROPN
fuelectenerg-3305	294	50	are	be	AUX
fuelectenerg-3305	294	51	in	in	ADP
fuelectenerg-3305	294	52	correlation	correlation	NOUN
fuelectenerg-3305	294	53	with	with	ADP
fuelectenerg-3305	294	54	the	the	DET
fuelectenerg-3305	294	55	values	value	NOUN
fuelectenerg-3305	294	56	of	of	ADP
fuelectenerg-3305	294	57	the	the	DET
fuelectenerg-3305	294	58	walsh	walsh	NOUN
fuelectenerg-3305	294	59	function	function	NOUN
fuelectenerg-3305	294	60	w2,4,5	w2,4,5	NOUN
fuelectenerg-3305	294	61	used	use	VERB
fuelectenerg-3305	294	62	for	for	ADP
fuelectenerg-3305	294	63	calculation	calculation	NOUN
fuelectenerg-3305	294	64	of	of	ADP
fuelectenerg-3305	294	65	the	the	DET
fuelectenerg-3305	294	66	coefficient	coefficient	NOUN
fuelectenerg-3305	294	67	with	with	ADP
fuelectenerg-3305	294	68	bi2	bi2	PROPN
fuelectenerg-3305	295	1	=	=	SYM
fuelectenerg-3305	295	2	1	1	NUM
fuelectenerg-3305	295	3	,	,	PUNCT
fuelectenerg-3305	295	4	bi4	bi4	NOUN
fuelectenerg-3305	295	5	=	=	SYM
fuelectenerg-3305	295	6	1	1	NUM
fuelectenerg-3305	295	7	,	,	PUNCT
fuelectenerg-3305	295	8	and	and	CCONJ
fuelectenerg-3305	295	9	bi5	bi5	VERB
fuelectenerg-3305	295	10	=	=	NOUN
fuelectenerg-3305	295	11	1	1	NUM
fuelectenerg-3305	295	12	in	in	ADP
fuelectenerg-3305	295	13	the	the	DET
fuelectenerg-3305	295	14	subscript	subscript	NOUN
fuelectenerg-3305	295	15	.	.	PUNCT
fuelectenerg-3305	296	1	from	from	ADP
fuelectenerg-3305	296	2	that	that	PRON
fuelectenerg-3305	296	3	it	it	PRON
fuelectenerg-3305	296	4	follows	follow	VERB
fuelectenerg-3305	296	5	that	that	SCONJ
fuelectenerg-3305	296	6	the	the	DET
fuelectenerg-3305	296	7	changes	change	NOUN
fuelectenerg-3305	296	8	in	in	ADP
fuelectenerg-3305	296	9	the	the	DET
fuelectenerg-3305	296	10	function	function	NOUN
fuelectenerg-3305	296	11	f	f	PROPN
fuelectenerg-3305	296	12	have	have	VERB
fuelectenerg-3305	296	13	influence	influence	NOUN
fuelectenerg-3305	296	14	only	only	ADV
fuelectenerg-3305	296	15	on	on	ADP
fuelectenerg-3305	296	16	the	the	DET
fuelectenerg-3305	296	17	coefficients	coefficient	NOUN
fuelectenerg-3305	296	18	having	have	VERB
fuelectenerg-3305	296	19	bi2	bi2	VERB
fuelectenerg-3305	296	20	=	=	SYM
fuelectenerg-3305	296	21	1	1	NUM
fuelectenerg-3305	296	22	,	,	PUNCT
fuelectenerg-3305	296	23	bi4	bi4	NOUN
fuelectenerg-3305	296	24	=	=	SYM
fuelectenerg-3305	296	25	1	1	NUM
fuelectenerg-3305	296	26	,	,	PUNCT
fuelectenerg-3305	296	27	and	and	CCONJ
fuelectenerg-3305	296	28	bi5	bi5	VERB
fuelectenerg-3305	296	29	=	=	PUNCT
fuelectenerg-3305	296	30	0	0	NUM
fuelectenerg-3305	296	31	in	in	ADP
fuelectenerg-3305	296	32	the	the	DET
fuelectenerg-3305	296	33	subscripts	subscript	NOUN
fuelectenerg-3305	296	34	,	,	PUNCT
fuelectenerg-3305	296	35	and	and	CCONJ
fuelectenerg-3305	296	36	for	for	ADP
fuelectenerg-3305	296	37	function	function	NOUN
fuelectenerg-3305	296	38	g	g	NOUN
fuelectenerg-3305	296	39	they	they	PRON
fuelectenerg-3305	296	40	will	will	AUX
fuelectenerg-3305	296	41	have	have	VERB
fuelectenerg-3305	296	42	the	the	DET
fuelectenerg-3305	296	43	same	same	ADJ
fuelectenerg-3305	296	44	values	value	NOUN
fuelectenerg-3305	296	45	as	as	ADP
fuelectenerg-3305	296	46	the	the	DET
fuelectenerg-3305	296	47	coefficients	coefficient	NOUN
fuelectenerg-3305	296	48	of	of	ADP
fuelectenerg-3305	296	49	the	the	DET
fuelectenerg-3305	296	50	function	function	NOUN
fuelectenerg-3305	297	1	f	f	PROPN
fuelectenerg-3305	297	2	having	having	AUX
fuelectenerg-3305	297	3	bi2	bi2	VERB
fuelectenerg-3305	297	4	=	=	SYM
fuelectenerg-3305	297	5	1	1	NUM
fuelectenerg-3305	297	6	,	,	PUNCT
fuelectenerg-3305	297	7	bi4	bi4	NOUN
fuelectenerg-3305	297	8	=	=	SYM
fuelectenerg-3305	297	9	1	1	NUM
fuelectenerg-3305	297	10	,	,	PUNCT
fuelectenerg-3305	297	11	and	and	CCONJ
fuelectenerg-3305	297	12	bi5	bi5	VERB
fuelectenerg-3305	297	13	=	=	PUNCT
fuelectenerg-3305	298	1	1	1	X
fuelectenerg-3305	298	2	.	.	PUNCT
fuelectenerg-3305	298	3	also	also	ADV
fuelectenerg-3305	298	4	,	,	PUNCT
fuelectenerg-3305	298	5	the	the	DET
fuelectenerg-3305	298	6	coefficients	coefficient	NOUN
fuelectenerg-3305	298	7	of	of	ADP
fuelectenerg-3305	298	8	the	the	DET
fuelectenerg-3305	298	9	function	function	NOUN
fuelectenerg-3305	298	10	g	g	NOUN
fuelectenerg-3305	298	11	having	have	VERB
fuelectenerg-3305	298	12	bi2	bi2	PROPN
fuelectenerg-3305	298	13	=	=	SYM
fuelectenerg-3305	298	14	1	1	NUM
fuelectenerg-3305	298	15	,	,	PUNCT
fuelectenerg-3305	298	16	bi4	bi4	NOUN
fuelectenerg-3305	298	17	=	=	SYM
fuelectenerg-3305	298	18	1	1	NUM
fuelectenerg-3305	298	19	,	,	PUNCT
fuelectenerg-3305	298	20	and	and	CCONJ
fuelectenerg-3305	298	21	bi5	bi5	VERB
fuelectenerg-3305	298	22	=	=	NOUN
fuelectenerg-3305	298	23	1	1	NUM
fuelectenerg-3305	298	24	in	in	ADP
fuelectenerg-3305	298	25	the	the	DET
fuelectenerg-3305	298	26	subscripts	subscript	NOUN
fuelectenerg-3305	298	27	have	have	VERB
fuelectenerg-3305	298	28	the	the	DET
fuelectenerg-3305	298	29	same	same	ADJ
fuelectenerg-3305	298	30	values	value	NOUN
fuelectenerg-3305	298	31	as	as	ADP
fuelectenerg-3305	298	32	the	the	DET
fuelectenerg-3305	298	33	coefficients	coefficient	NOUN
fuelectenerg-3305	298	34	of	of	ADP
fuelectenerg-3305	298	35	the	the	DET
fuelectenerg-3305	298	36	function	function	NOUN
fuelectenerg-3305	298	37	f	f	PROPN
fuelectenerg-3305	298	38	having	having	AUX
fuelectenerg-3305	298	39	bi2	bi2	VERB
fuelectenerg-3305	298	40	=	=	SYM
fuelectenerg-3305	298	41	1	1	NUM
fuelectenerg-3305	298	42	,	,	PUNCT
fuelectenerg-3305	298	43	bi4	bi4	NOUN
fuelectenerg-3305	298	44	=	=	SYM
fuelectenerg-3305	298	45	1	1	NUM
fuelectenerg-3305	298	46	,	,	PUNCT
fuelectenerg-3305	298	47	and	and	CCONJ
fuelectenerg-3305	298	48	bi5	bi5	VERB
fuelectenerg-3305	298	49	=	=	PUNCT
fuelectenerg-3305	298	50	0	0	NUM
fuelectenerg-3305	298	51	in	in	ADP
fuelectenerg-3305	298	52	the	the	DET
fuelectenerg-3305	298	53	subscripts	subscript	NOUN
fuelectenerg-3305	298	54	.	.	PUNCT
fuelectenerg-3305	299	1	196	196	NUM
fuelectenerg-3305	299	2	m.	m.	NOUN
fuelectenerg-3305	299	3	stanković	stanković	PROPN
fuelectenerg-3305	299	4	,	,	PUNCT
fuelectenerg-3305	299	5	c.	c.	PROPN
fuelectenerg-3305	299	6	moraga	moraga	PROPN
fuelectenerg-3305	299	7	,	,	PUNCT
fuelectenerg-3305	299	8	r.	r.	PROPN
fuelectenerg-3305	299	9	s.	s.	PROPN
fuelectenerg-3305	299	10	stanković	stanković	PROPN
fuelectenerg-3305	299	11	an	an	DET
fuelectenerg-3305	299	12	improved	improved	ADJ
fuelectenerg-3305	299	13	spectral	spectral	ADJ
fuelectenerg-3305	299	14	classification	classification	NOUN
fuelectenerg-3305	299	15	of	of	ADP
fuelectenerg-3305	299	16	boolean	boolean	ADJ
fuelectenerg-3305	299	17	functions	function	NOUN
fuelectenerg-3305	299	18	...	...	PUNCT
fuelectenerg-3305	299	19	197	197	NUM
fuelectenerg-3305	299	20	10	10	NUM
fuelectenerg-3305	299	21	m.	m.	NOUN
fuelectenerg-3305	299	22	stankovic	stankovic	PROPN
fuelectenerg-3305	299	23	,	,	PUNCT
fuelectenerg-3305	299	24	c.	c.	PROPN
fuelectenerg-3305	299	25	moraga	moraga	PROPN
fuelectenerg-3305	299	26	,	,	PUNCT
fuelectenerg-3305	299	27	r.	r.	PROPN
fuelectenerg-3305	299	28	s.	s.	PROPN
fuelectenerg-3305	299	29	stanković	stanković	PROPN
fuelectenerg-3305	299	30	theorem	theorem	VERB
fuelectenerg-3305	299	31	2	2	NUM
fuelectenerg-3305	299	32	(	(	PUNCT
fuelectenerg-3305	299	33	adding	add	VERB
fuelectenerg-3305	299	34	two	two	NUM
fuelectenerg-3305	299	35	products	product	NOUN
fuelectenerg-3305	299	36	of	of	ADP
fuelectenerg-3305	299	37	three	three	NUM
fuelectenerg-3305	299	38	variables	variable	NOUN
fuelectenerg-3305	299	39	)	)	PUNCT
fuelectenerg-3305	299	40	let	let	VERB
fuelectenerg-3305	299	41	f	f	PRON
fuelectenerg-3305	299	42	be	be	AUX
fuelectenerg-3305	299	43	a	a	DET
fuelectenerg-3305	299	44	boolean	boolean	ADJ
fuelectenerg-3305	299	45	function	function	NOUN
fuelectenerg-3305	299	46	of	of	ADP
fuelectenerg-3305	299	47	n	n	DET
fuelectenerg-3305	299	48	variables	variable	NOUN
fuelectenerg-3305	299	49	,	,	PUNCT
fuelectenerg-3305	299	50	which	which	PRON
fuelectenerg-3305	299	51	has	have	VERB
fuelectenerg-3305	299	52	two	two	NUM
fuelectenerg-3305	299	53	disjoint	disjoint	ADJ
fuelectenerg-3305	299	54	products	product	NOUN
fuelectenerg-3305	299	55	of	of	ADP
fuelectenerg-3305	299	56	two	two	NUM
fuelectenerg-3305	299	57	variables	variable	NOUN
fuelectenerg-3305	299	58	in	in	ADP
fuelectenerg-3305	299	59	its	its	PRON
fuelectenerg-3305	299	60	polynomial	polynomial	ADJ
fuelectenerg-3305	299	61	form	form	NOUN
fuelectenerg-3305	299	62	f(x1	f(x1	NOUN
fuelectenerg-3305	299	63	,	,	PUNCT
fuelectenerg-3305	299	64	·	·	PUNCT
fuelectenerg-3305	299	65	·	·	PUNCT
fuelectenerg-3305	299	66	·	·	PUNCT
fuelectenerg-3305	299	67	,	,	PUNCT
fuelectenerg-3305	299	68	xn	xn	X
fuelectenerg-3305	299	69	)	)	PUNCT
fuelectenerg-3305	299	70	=	=	PUNCT
fuelectenerg-3305	299	71	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	299	72	⊕	⊕	PROPN
fuelectenerg-3305	299	73	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	299	74	⊕	⊕	PROPN
fuelectenerg-3305	299	75	h(x1	h(x1	PROPN
fuelectenerg-3305	299	76	,	,	PUNCT
fuelectenerg-3305	299	77	·	·	PUNCT
fuelectenerg-3305	299	78	·	·	PUNCT
fuelectenerg-3305	299	79	·	·	PUNCT
fuelectenerg-3305	299	80	,	,	PUNCT
fuelectenerg-3305	299	81	xk	xk	PROPN
fuelectenerg-3305	299	82	)	)	PUNCT
fuelectenerg-3305	299	83	,	,	PUNCT
fuelectenerg-3305	299	84	where	where	SCONJ
fuelectenerg-3305	299	85	{	{	PUNCT
fuelectenerg-3305	299	86	i1	i1	PROPN
fuelectenerg-3305	299	87	,	,	PUNCT
fuelectenerg-3305	299	88	i2	i2	PROPN
fuelectenerg-3305	299	89	}	}	PUNCT
fuelectenerg-3305	299	90	∩	∩	ADJ
fuelectenerg-3305	299	91	{	{	PUNCT
fuelectenerg-3305	299	92	i3	i3	NOUN
fuelectenerg-3305	299	93	,	,	PUNCT
fuelectenerg-3305	299	94	i4	i4	PROPN
fuelectenerg-3305	299	95	}	}	PUNCT
fuelectenerg-3305	299	96	=	=	SYM
fuelectenerg-3305	299	97	∅	∅	NOUN
fuelectenerg-3305	299	98	,	,	PUNCT
fuelectenerg-3305	299	99	and	and	CCONJ
fuelectenerg-3305	299	100	{	{	PUNCT
fuelectenerg-3305	299	101	x1	x1	PROPN
fuelectenerg-3305	299	102	,	,	PUNCT
fuelectenerg-3305	299	103	·	·	PUNCT
fuelectenerg-3305	299	104	·	·	PUNCT
fuelectenerg-3305	299	105	·	·	PUNCT
fuelectenerg-3305	299	106	,	,	PUNCT
fuelectenerg-3305	299	107	xk	xk	PROPN
fuelectenerg-3305	299	108	}	}	PUNCT
fuelectenerg-3305	299	109	⊂	⊂	PROPN
fuelectenerg-3305	299	110	{	{	PUNCT
fuelectenerg-3305	299	111	x1	x1	PROPN
fuelectenerg-3305	299	112	,	,	PUNCT
fuelectenerg-3305	299	113	·	·	PUNCT
fuelectenerg-3305	299	114	·	·	PUNCT
fuelectenerg-3305	299	115	·	·	PUNCT
fuelectenerg-3305	299	116	,	,	PUNCT
fuelectenerg-3305	299	117	xn	xn	PROPN
fuelectenerg-3305	299	118	}	}	PUNCT
fuelectenerg-3305	299	119	.	.	PUNCT
fuelectenerg-3305	300	1	define	define	VERB
fuelectenerg-3305	300	2	g(x1	g(x1	NOUN
fuelectenerg-3305	300	3	,	,	PUNCT
fuelectenerg-3305	300	4	·	·	PUNCT
fuelectenerg-3305	300	5	·	·	PUNCT
fuelectenerg-3305	300	6	·	·	PUNCT
fuelectenerg-3305	300	7	,	,	PUNCT
fuelectenerg-3305	300	8	xn	xn	X
fuelectenerg-3305	300	9	)	)	PUNCT
fuelectenerg-3305	300	10	=	=	SYM
fuelectenerg-3305	300	11	f(x1	f(x1	X
fuelectenerg-3305	300	12	,	,	PUNCT
fuelectenerg-3305	300	13	·	·	PUNCT
fuelectenerg-3305	300	14	·	·	PUNCT
fuelectenerg-3305	300	15	·	·	PUNCT
fuelectenerg-3305	300	16	,	,	PUNCT
fuelectenerg-3305	300	17	xn)⊕	xn)⊕	PUNCT
fuelectenerg-3305	300	18	xj1xj2xj3	xj1xj2xj3	PROPN
fuelectenerg-3305	300	19	⊕	⊕	PROPN
fuelectenerg-3305	300	20	xj4xj5	xj4xj5	PROPN
fuelectenerg-3305	300	21	x̄j3	x̄j3	PROPN
fuelectenerg-3305	301	1	where	where	SCONJ
fuelectenerg-3305	301	2	j1	j1	PROPN
fuelectenerg-3305	301	3	∈	∈	PROPN
fuelectenerg-3305	301	4	{	{	PUNCT
fuelectenerg-3305	301	5	i1	i1	PROPN
fuelectenerg-3305	301	6	,	,	PUNCT
fuelectenerg-3305	301	7	i2	i2	PROPN
fuelectenerg-3305	301	8	}	}	PUNCT
fuelectenerg-3305	301	9	,	,	PUNCT
fuelectenerg-3305	301	10	j2	j2	PROPN
fuelectenerg-3305	301	11	∈	∈	PROPN
fuelectenerg-3305	301	12	{	{	PUNCT
fuelectenerg-3305	301	13	i3	i3	PROPN
fuelectenerg-3305	301	14	,	,	PUNCT
fuelectenerg-3305	301	15	i4	i4	PROPN
fuelectenerg-3305	301	16	}	}	PUNCT
fuelectenerg-3305	301	17	,	,	PUNCT
fuelectenerg-3305	301	18	j3	j3	PROPN
fuelectenerg-3305	301	19	/∈	/∈	PROPN
fuelectenerg-3305	301	20	{	{	PUNCT
fuelectenerg-3305	301	21	i1	i1	PROPN
fuelectenerg-3305	301	22	,	,	PUNCT
fuelectenerg-3305	301	23	i2	i2	PROPN
fuelectenerg-3305	301	24	,	,	PUNCT
fuelectenerg-3305	301	25	i3	i3	NOUN
fuelectenerg-3305	301	26	,	,	PUNCT
fuelectenerg-3305	301	27	i4	i4	PROPN
fuelectenerg-3305	301	28	}	}	PUNCT
fuelectenerg-3305	301	29	,	,	PUNCT
fuelectenerg-3305	301	30	j4	j4	PROPN
fuelectenerg-3305	301	31	=	=	SYM
fuelectenerg-3305	301	32	{	{	PUNCT
fuelectenerg-3305	301	33	i1	i1	PROPN
fuelectenerg-3305	301	34	,	,	PUNCT
fuelectenerg-3305	301	35	i2	i2	PROPN
fuelectenerg-3305	301	36	}	}	PUNCT
fuelectenerg-3305	301	37	\	\	PROPN
fuelectenerg-3305	301	38	j1	j1	PROPN
fuelectenerg-3305	301	39	,	,	PUNCT
fuelectenerg-3305	301	40	and	and	CCONJ
fuelectenerg-3305	301	41	j5	j5	PROPN
fuelectenerg-3305	301	42	=	=	SYM
fuelectenerg-3305	301	43	{	{	PUNCT
fuelectenerg-3305	301	44	i3	i3	PROPN
fuelectenerg-3305	301	45	,	,	PUNCT
fuelectenerg-3305	301	46	i4	i4	PROPN
fuelectenerg-3305	301	47	}	}	PUNCT
fuelectenerg-3305	301	48	\	\	PROPN
fuelectenerg-3305	301	49	j2	j2	PROPN
fuelectenerg-3305	301	50	.	.	PUNCT
fuelectenerg-3305	302	1	the	the	DET
fuelectenerg-3305	302	2	following	follow	VERB
fuelectenerg-3305	302	3	relations	relation	NOUN
fuelectenerg-3305	302	4	between	between	ADP
fuelectenerg-3305	302	5	pairs	pair	NOUN
fuelectenerg-3305	302	6	of	of	ADP
fuelectenerg-3305	302	7	spectral	spectral	ADJ
fuelectenerg-3305	302	8	coefficients	coefficient	NOUN
fuelectenerg-3305	302	9	of	of	ADP
fuelectenerg-3305	302	10	f	f	PROPN
fuelectenerg-3305	302	11	and	and	CCONJ
fuelectenerg-3305	302	12	g	g	PROPN
fuelectenerg-3305	302	13	exist	exist	VERB
fuelectenerg-3305	302	14	sgb1,b2=1,b3,b4=1,b5=0	sgb1,b2=1,b3,b4=1,b5=0	ADJ
fuelectenerg-3305	302	15	↔	↔	PROPN
fuelectenerg-3305	302	16	sf	sf	PROPN
fuelectenerg-3305	302	17	b1,b2=1,b3,b4=1,b5=1	b1,b2=1,b3,b4=1,b5=1	PROPN
fuelectenerg-3305	302	18	,	,	PUNCT
fuelectenerg-3305	302	19	sgb1,b2=1,b3,b4=1,b5=1	sgb1,b2=1,b3,b4=1,b5=1	VERB
fuelectenerg-3305	302	20	↔	↔	PROPN
fuelectenerg-3305	302	21	sf	sf	NOUN
fuelectenerg-3305	302	22	b1,b2=1,b3,b4=1,b5=0	b1,b2=1,b3,b4=1,b5=0	PROPN
fuelectenerg-3305	302	23	,	,	PUNCT
fuelectenerg-3305	302	24	for	for	ADP
fuelectenerg-3305	302	25	b1	b1	NOUN
fuelectenerg-3305	302	26	,	,	PUNCT
fuelectenerg-3305	302	27	b3	b3	PROPN
fuelectenerg-3305	302	28	∈	∈	PROPN
fuelectenerg-3305	302	29	(	(	PUNCT
fuelectenerg-3305	302	30	0	0	NUM
fuelectenerg-3305	302	31	,	,	PUNCT
fuelectenerg-3305	302	32	1	1	NUM
fuelectenerg-3305	302	33	)	)	PUNCT
fuelectenerg-3305	302	34	,	,	PUNCT
fuelectenerg-3305	302	35	sgb1=1,b2,b3=1,b4,b5=0	sgb1=1,b2,b3=1,b4,b5=0	X
fuelectenerg-3305	302	36	↔	↔	PROPN
fuelectenerg-3305	302	37	−sf	−sf	PROPN
fuelectenerg-3305	302	38	b1=1,b2,b3=1,b4,b5=1	b1=1,b2,b3=1,b4,b5=1	NOUN
fuelectenerg-3305	302	39	,	,	PUNCT
fuelectenerg-3305	302	40	sgb1=1,b2,b3=1,b4,b5=1	sgb1=1,b2,b3=1,b4,b5=1	NOUN
fuelectenerg-3305	302	41	↔	↔	PROPN
fuelectenerg-3305	302	42	−sf	−sf	PROPN
fuelectenerg-3305	302	43	b1=1,b2,b3=1,b4,b5=0	b1=1,b2,b3=1,b4,b5=0	NOUN
fuelectenerg-3305	302	44	,	,	PUNCT
fuelectenerg-3305	302	45	for	for	ADP
fuelectenerg-3305	302	46	b2	b2	NOUN
fuelectenerg-3305	302	47	,	,	PUNCT
fuelectenerg-3305	302	48	b4	b4	NOUN
fuelectenerg-3305	302	49	∈	∈	PROPN
fuelectenerg-3305	302	50	(	(	PUNCT
fuelectenerg-3305	302	51	0	0	NUM
fuelectenerg-3305	302	52	,	,	PUNCT
fuelectenerg-3305	302	53	1	1	NUM
fuelectenerg-3305	302	54	)	)	PUNCT
fuelectenerg-3305	302	55	.	.	PUNCT
fuelectenerg-3305	303	1	it	it	PRON
fuelectenerg-3305	303	2	is	be	AUX
fuelectenerg-3305	303	3	possible	possible	ADJ
fuelectenerg-3305	303	4	to	to	PART
fuelectenerg-3305	303	5	prove	prove	VERB
fuelectenerg-3305	303	6	the	the	DET
fuelectenerg-3305	303	7	theorem	theorem	NOUN
fuelectenerg-3305	303	8	2	2	NUM
fuelectenerg-3305	303	9	by	by	ADP
fuelectenerg-3305	303	10	using	use	VERB
fuelectenerg-3305	303	11	the	the	DET
fuelectenerg-3305	303	12	same	same	ADJ
fuelectenerg-3305	303	13	approach	approach	NOUN
fuelectenerg-3305	303	14	as	as	ADP
fuelectenerg-3305	303	15	in	in	ADP
fuelectenerg-3305	303	16	theorem	theorem	NOUN
fuelectenerg-3305	303	17	1	1	NUM
fuelectenerg-3305	303	18	.	.	PUNCT
fuelectenerg-3305	303	19	example	example	NOUN
fuelectenerg-3305	304	1	1	1	NUM
fuelectenerg-3305	304	2	consider	consider	VERB
fuelectenerg-3305	304	3	the	the	DET
fuelectenerg-3305	304	4	function	function	NOUN
fuelectenerg-3305	304	5	f(x1	f(x1	ADJ
fuelectenerg-3305	304	6	,	,	PUNCT
fuelectenerg-3305	304	7	·	·	PUNCT
fuelectenerg-3305	304	8	·	·	PUNCT
fuelectenerg-3305	304	9	·	·	PUNCT
fuelectenerg-3305	304	10	,	,	PUNCT
fuelectenerg-3305	304	11	x5	x5	PROPN
fuelectenerg-3305	304	12	)	)	PUNCT
fuelectenerg-3305	304	13	=	=	SYM
fuelectenerg-3305	304	14	x1x2	x1x2	PROPN
fuelectenerg-3305	304	15	⊕	⊕	PROPN
fuelectenerg-3305	304	16	x3x4	x3x4	PROPN
fuelectenerg-3305	304	17	⊕	⊕	PROPN
fuelectenerg-3305	304	18	x5	x5	PROPN
fuelectenerg-3305	304	19	with	with	ADP
fuelectenerg-3305	304	20	the	the	DET
fuelectenerg-3305	304	21	spectrum	spectrum	NOUN
fuelectenerg-3305	304	22	sf	sf	NOUN
fuelectenerg-3305	304	23	=	=	PUNCT
fuelectenerg-3305	305	1	[	[	X
fuelectenerg-3305	305	2	0	0	NUM
fuelectenerg-3305	305	3	,	,	PUNCT
fuelectenerg-3305	305	4	8	8	NUM
fuelectenerg-3305	305	5	,	,	PUNCT
fuelectenerg-3305	305	6	0	0	NUM
fuelectenerg-3305	305	7	,	,	PUNCT
fuelectenerg-3305	305	8	8	8	NUM
fuelectenerg-3305	305	9	,	,	PUNCT
fuelectenerg-3305	305	10	0	0	NUM
fuelectenerg-3305	305	11	,	,	PUNCT
fuelectenerg-3305	305	12	8	8	NUM
fuelectenerg-3305	305	13	,	,	PUNCT
fuelectenerg-3305	305	14	0,−8	0,−8	PROPN
fuelectenerg-3305	305	15	,	,	PUNCT
fuelectenerg-3305	305	16	0	0	NUM
fuelectenerg-3305	305	17	,	,	PUNCT
fuelectenerg-3305	305	18	8	8	NUM
fuelectenerg-3305	305	19	,	,	PUNCT
fuelectenerg-3305	305	20	0	0	NUM
fuelectenerg-3305	305	21	,	,	PUNCT
fuelectenerg-3305	305	22	8	8	NUM
fuelectenerg-3305	305	23	,	,	PUNCT
fuelectenerg-3305	305	24	0	0	NUM
fuelectenerg-3305	305	25	,	,	PUNCT
fuelectenerg-3305	305	26	8	8	NUM
fuelectenerg-3305	305	27	,	,	PUNCT
fuelectenerg-3305	305	28	0,−8	0,−8	PROPN
fuelectenerg-3305	305	29	,	,	PUNCT
fuelectenerg-3305	305	30	0	0	NUM
fuelectenerg-3305	305	31	,	,	PUNCT
fuelectenerg-3305	305	32	8	8	NUM
fuelectenerg-3305	305	33	,	,	PUNCT
fuelectenerg-3305	305	34	0	0	NUM
fuelectenerg-3305	305	35	,	,	PUNCT
fuelectenerg-3305	305	36	8	8	NUM
fuelectenerg-3305	305	37	,	,	PUNCT
fuelectenerg-3305	305	38	0	0	NUM
fuelectenerg-3305	305	39	,	,	PUNCT
fuelectenerg-3305	305	40	8	8	NUM
fuelectenerg-3305	305	41	,	,	PUNCT
fuelectenerg-3305	305	42	0,−8	0,−8	PROPN
fuelectenerg-3305	305	43	,	,	PUNCT
fuelectenerg-3305	305	44	0,−8	0,−8	PROPN
fuelectenerg-3305	305	45	,	,	PUNCT
fuelectenerg-3305	305	46	0,−8	0,−8	PROPN
fuelectenerg-3305	305	47	,	,	PUNCT
fuelectenerg-3305	305	48	0,−8	0,−8	PROPN
fuelectenerg-3305	305	49	,	,	PUNCT
fuelectenerg-3305	305	50	0	0	NUM
fuelectenerg-3305	305	51	,	,	PUNCT
fuelectenerg-3305	305	52	8]t	8]t	NUM
fuelectenerg-3305	305	53	.	.	PUNCT
fuelectenerg-3305	306	1	by	by	ADP
fuelectenerg-3305	306	2	adding	add	VERB
fuelectenerg-3305	306	3	to	to	ADP
fuelectenerg-3305	306	4	f	f	PROPN
fuelectenerg-3305	306	5	the	the	DET
fuelectenerg-3305	306	6	product	product	NOUN
fuelectenerg-3305	306	7	of	of	ADP
fuelectenerg-3305	306	8	three	three	NUM
fuelectenerg-3305	306	9	variables	variable	NOUN
fuelectenerg-3305	306	10	(	(	PUNCT
fuelectenerg-3305	306	11	one	one	NUM
fuelectenerg-3305	306	12	variable	variable	NOUN
fuelectenerg-3305	306	13	from	from	ADP
fuelectenerg-3305	306	14	the	the	DET
fuelectenerg-3305	306	15	first	first	ADJ
fuelectenerg-3305	306	16	product	product	NOUN
fuelectenerg-3305	306	17	,	,	PUNCT
fuelectenerg-3305	306	18	the	the	DET
fuelectenerg-3305	306	19	second	second	ADJ
fuelectenerg-3305	306	20	from	from	ADP
fuelectenerg-3305	306	21	the	the	DET
fuelectenerg-3305	306	22	second	second	ADJ
fuelectenerg-3305	306	23	product	product	NOUN
fuelectenerg-3305	306	24	and	and	CCONJ
fuelectenerg-3305	306	25	as	as	ADP
fuelectenerg-3305	306	26	the	the	DET
fuelectenerg-3305	306	27	third	third	ADJ
fuelectenerg-3305	306	28	the	the	DET
fuelectenerg-3305	306	29	variable	variable	ADJ
fuelectenerg-3305	306	30	x5	x5	NOUN
fuelectenerg-3305	306	31	,	,	PUNCT
fuelectenerg-3305	306	32	not	not	PART
fuelectenerg-3305	306	33	included	include	VERB
fuelectenerg-3305	306	34	in	in	ADP
fuelectenerg-3305	306	35	the	the	DET
fuelectenerg-3305	306	36	products	product	NOUN
fuelectenerg-3305	306	37	)	)	PUNCT
fuelectenerg-3305	306	38	,	,	PUNCT
fuelectenerg-3305	306	39	a	a	DET
fuelectenerg-3305	306	40	new	new	ADJ
fuelectenerg-3305	306	41	function	function	NOUN
fuelectenerg-3305	306	42	g1(x1	g1(x1	NOUN
fuelectenerg-3305	306	43	,	,	PUNCT
fuelectenerg-3305	306	44	·	·	PUNCT
fuelectenerg-3305	306	45	·	·	PUNCT
fuelectenerg-3305	306	46	·	·	PUNCT
fuelectenerg-3305	306	47	,	,	PUNCT
fuelectenerg-3305	306	48	x5	x5	PROPN
fuelectenerg-3305	306	49	)	)	PUNCT
fuelectenerg-3305	306	50	=	=	SYM
fuelectenerg-3305	306	51	f(x1	f(x1	X
fuelectenerg-3305	306	52	,	,	PUNCT
fuelectenerg-3305	306	53	·	·	PUNCT
fuelectenerg-3305	306	54	·	·	PUNCT
fuelectenerg-3305	306	55	·	·	PUNCT
fuelectenerg-3305	306	56	,	,	PUNCT
fuelectenerg-3305	306	57	x5)⊕	x5)⊕	X
fuelectenerg-3305	306	58	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	306	59	=	=	PUNCT
fuelectenerg-3305	306	60	x1x2	x1x2	PROPN
fuelectenerg-3305	306	61	⊕	⊕	PROPN
fuelectenerg-3305	306	62	x3x4	x3x4	PROPN
fuelectenerg-3305	306	63	⊕	⊕	PROPN
fuelectenerg-3305	306	64	x5	x5	PROPN
fuelectenerg-3305	306	65	⊕	⊕	PROPN
fuelectenerg-3305	306	66	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	306	67	,	,	PUNCT
fuelectenerg-3305	306	68	is	be	AUX
fuelectenerg-3305	306	69	generated	generate	VERB
fuelectenerg-3305	306	70	.	.	PUNCT
fuelectenerg-3305	307	1	the	the	DET
fuelectenerg-3305	307	2	spectrum	spectrum	NOUN
fuelectenerg-3305	307	3	of	of	ADP
fuelectenerg-3305	307	4	g1	g1	PROPN
fuelectenerg-3305	307	5	is	be	AUX
fuelectenerg-3305	307	6	sg1	sg1	NOUN
fuelectenerg-3305	307	7	=	=	SYM
fuelectenerg-3305	308	1	[	[	X
fuelectenerg-3305	308	2	0	0	NUM
fuelectenerg-3305	308	3	,	,	PUNCT
fuelectenerg-3305	308	4	8	8	NUM
fuelectenerg-3305	308	5	,	,	PUNCT
fuelectenerg-3305	308	6	0	0	NUM
fuelectenerg-3305	308	7	,	,	PUNCT
fuelectenerg-3305	308	8	8	8	NUM
fuelectenerg-3305	308	9	,	,	PUNCT
fuelectenerg-3305	308	10	0	0	NUM
fuelectenerg-3305	308	11	,	,	PUNCT
fuelectenerg-3305	308	12	8	8	NUM
fuelectenerg-3305	308	13	,	,	PUNCT
fuelectenerg-3305	308	14	0,−8	0,−8	PROPN
fuelectenerg-3305	308	15	,	,	PUNCT
fuelectenerg-3305	308	16	0	0	NUM
fuelectenerg-3305	308	17	,	,	PUNCT
fuelectenerg-3305	308	18	8	8	NUM
fuelectenerg-3305	308	19	,	,	PUNCT
fuelectenerg-3305	308	20	8	8	NUM
fuelectenerg-3305	308	21	,	,	PUNCT
fuelectenerg-3305	308	22	0	0	NUM
fuelectenerg-3305	308	23	,	,	PUNCT
fuelectenerg-3305	308	24	0	0	NUM
fuelectenerg-3305	308	25	,	,	PUNCT
fuelectenerg-3305	308	26	8,−8	8,−8	NUM
fuelectenerg-3305	308	27	,	,	PUNCT
fuelectenerg-3305	308	28	0	0	NUM
fuelectenerg-3305	308	29	,	,	PUNCT
fuelectenerg-3305	308	30	0	0	NUM
fuelectenerg-3305	308	31	,	,	PUNCT
fuelectenerg-3305	308	32	8	8	NUM
fuelectenerg-3305	308	33	,	,	PUNCT
fuelectenerg-3305	308	34	0	0	NUM
fuelectenerg-3305	308	35	,	,	PUNCT
fuelectenerg-3305	308	36	8	8	NUM
fuelectenerg-3305	308	37	,	,	PUNCT
fuelectenerg-3305	308	38	0	0	NUM
fuelectenerg-3305	308	39	,	,	PUNCT
fuelectenerg-3305	308	40	8	8	NUM
fuelectenerg-3305	308	41	,	,	PUNCT
fuelectenerg-3305	308	42	0,−8	0,−8	PROPN
fuelectenerg-3305	308	43	,	,	PUNCT
fuelectenerg-3305	308	44	0,−8,−8	0,−8,−8	ADJ
fuelectenerg-3305	308	45	,	,	PUNCT
fuelectenerg-3305	308	46	0	0	NUM
fuelectenerg-3305	308	47	,	,	PUNCT
fuelectenerg-3305	308	48	0,−8	0,−8	PROPN
fuelectenerg-3305	308	49	,	,	PUNCT
fuelectenerg-3305	308	50	8	8	NUM
fuelectenerg-3305	308	51	,	,	PUNCT
fuelectenerg-3305	308	52	0]t	0]t	NUM
fuelectenerg-3305	308	53	,	,	PUNCT
fuelectenerg-3305	308	54	198	198	NUM
fuelectenerg-3305	308	55	m.	m.	NOUN
fuelectenerg-3305	308	56	stanković	stanković	NOUN
fuelectenerg-3305	308	57	,	,	PUNCT
fuelectenerg-3305	308	58	c.	c.	PROPN
fuelectenerg-3305	308	59	moraga	moraga	PROPN
fuelectenerg-3305	308	60	,	,	PUNCT
fuelectenerg-3305	308	61	r.	r.	PROPN
fuelectenerg-3305	308	62	s.	s.	PROPN
fuelectenerg-3305	308	63	stanković	stanković	PROPN
fuelectenerg-3305	308	64	an	an	DET
fuelectenerg-3305	308	65	improved	improved	ADJ
fuelectenerg-3305	308	66	spectral	spectral	ADJ
fuelectenerg-3305	308	67	classification	classification	NOUN
fuelectenerg-3305	308	68	of	of	ADP
fuelectenerg-3305	308	69	boolean	boolean	ADJ
fuelectenerg-3305	308	70	functions	function	NOUN
fuelectenerg-3305	308	71	...	...	PUNCT
fuelectenerg-3305	308	72	199	199	NUM
fuelectenerg-3305	308	73	10	10	NUM
fuelectenerg-3305	308	74	m.	m.	NOUN
fuelectenerg-3305	308	75	stankovic	stankovic	PROPN
fuelectenerg-3305	308	76	,	,	PUNCT
fuelectenerg-3305	308	77	c.	c.	PROPN
fuelectenerg-3305	308	78	moraga	moraga	PROPN
fuelectenerg-3305	308	79	,	,	PUNCT
fuelectenerg-3305	308	80	r.	r.	PROPN
fuelectenerg-3305	308	81	s.	s.	PROPN
fuelectenerg-3305	308	82	stanković	stanković	PROPN
fuelectenerg-3305	308	83	theorem	theorem	VERB
fuelectenerg-3305	308	84	2	2	NUM
fuelectenerg-3305	308	85	(	(	PUNCT
fuelectenerg-3305	308	86	adding	add	VERB
fuelectenerg-3305	308	87	two	two	NUM
fuelectenerg-3305	308	88	products	product	NOUN
fuelectenerg-3305	308	89	of	of	ADP
fuelectenerg-3305	308	90	three	three	NUM
fuelectenerg-3305	308	91	variables	variable	NOUN
fuelectenerg-3305	308	92	)	)	PUNCT
fuelectenerg-3305	308	93	let	let	VERB
fuelectenerg-3305	308	94	f	f	PRON
fuelectenerg-3305	308	95	be	be	AUX
fuelectenerg-3305	308	96	a	a	DET
fuelectenerg-3305	308	97	boolean	boolean	ADJ
fuelectenerg-3305	308	98	function	function	NOUN
fuelectenerg-3305	308	99	of	of	ADP
fuelectenerg-3305	308	100	n	n	DET
fuelectenerg-3305	308	101	variables	variable	NOUN
fuelectenerg-3305	308	102	,	,	PUNCT
fuelectenerg-3305	308	103	which	which	PRON
fuelectenerg-3305	308	104	has	have	VERB
fuelectenerg-3305	308	105	two	two	NUM
fuelectenerg-3305	308	106	disjoint	disjoint	ADJ
fuelectenerg-3305	308	107	products	product	NOUN
fuelectenerg-3305	308	108	of	of	ADP
fuelectenerg-3305	308	109	two	two	NUM
fuelectenerg-3305	308	110	variables	variable	NOUN
fuelectenerg-3305	308	111	in	in	ADP
fuelectenerg-3305	308	112	its	its	PRON
fuelectenerg-3305	308	113	polynomial	polynomial	ADJ
fuelectenerg-3305	308	114	form	form	NOUN
fuelectenerg-3305	308	115	f(x1	f(x1	NOUN
fuelectenerg-3305	308	116	,	,	PUNCT
fuelectenerg-3305	308	117	·	·	PUNCT
fuelectenerg-3305	308	118	·	·	PUNCT
fuelectenerg-3305	308	119	·	·	PUNCT
fuelectenerg-3305	308	120	,	,	PUNCT
fuelectenerg-3305	308	121	xn	xn	X
fuelectenerg-3305	308	122	)	)	PUNCT
fuelectenerg-3305	308	123	=	=	PUNCT
fuelectenerg-3305	308	124	xi1xi2	xi1xi2	PROPN
fuelectenerg-3305	308	125	⊕	⊕	PROPN
fuelectenerg-3305	308	126	xi3xi4	xi3xi4	PROPN
fuelectenerg-3305	308	127	⊕	⊕	PROPN
fuelectenerg-3305	308	128	h(x1	h(x1	PROPN
fuelectenerg-3305	308	129	,	,	PUNCT
fuelectenerg-3305	308	130	·	·	PUNCT
fuelectenerg-3305	308	131	·	·	PUNCT
fuelectenerg-3305	308	132	·	·	PUNCT
fuelectenerg-3305	308	133	,	,	PUNCT
fuelectenerg-3305	308	134	xk	xk	PROPN
fuelectenerg-3305	308	135	)	)	PUNCT
fuelectenerg-3305	308	136	,	,	PUNCT
fuelectenerg-3305	308	137	where	where	SCONJ
fuelectenerg-3305	308	138	{	{	PUNCT
fuelectenerg-3305	308	139	i1	i1	PROPN
fuelectenerg-3305	308	140	,	,	PUNCT
fuelectenerg-3305	308	141	i2	i2	PROPN
fuelectenerg-3305	308	142	}	}	PUNCT
fuelectenerg-3305	308	143	∩	∩	ADJ
fuelectenerg-3305	308	144	{	{	PUNCT
fuelectenerg-3305	308	145	i3	i3	NOUN
fuelectenerg-3305	308	146	,	,	PUNCT
fuelectenerg-3305	308	147	i4	i4	PROPN
fuelectenerg-3305	308	148	}	}	PUNCT
fuelectenerg-3305	308	149	=	=	SYM
fuelectenerg-3305	308	150	∅	∅	NOUN
fuelectenerg-3305	308	151	,	,	PUNCT
fuelectenerg-3305	308	152	and	and	CCONJ
fuelectenerg-3305	308	153	{	{	PUNCT
fuelectenerg-3305	308	154	x1	x1	PROPN
fuelectenerg-3305	308	155	,	,	PUNCT
fuelectenerg-3305	308	156	·	·	PUNCT
fuelectenerg-3305	308	157	·	·	PUNCT
fuelectenerg-3305	308	158	·	·	PUNCT
fuelectenerg-3305	308	159	,	,	PUNCT
fuelectenerg-3305	308	160	xk	xk	PROPN
fuelectenerg-3305	308	161	}	}	PUNCT
fuelectenerg-3305	308	162	⊂	⊂	PROPN
fuelectenerg-3305	308	163	{	{	PUNCT
fuelectenerg-3305	308	164	x1	x1	PROPN
fuelectenerg-3305	308	165	,	,	PUNCT
fuelectenerg-3305	308	166	·	·	PUNCT
fuelectenerg-3305	308	167	·	·	PUNCT
fuelectenerg-3305	308	168	·	·	PUNCT
fuelectenerg-3305	308	169	,	,	PUNCT
fuelectenerg-3305	308	170	xn	xn	PROPN
fuelectenerg-3305	308	171	}	}	PUNCT
fuelectenerg-3305	308	172	.	.	PUNCT
fuelectenerg-3305	309	1	define	define	VERB
fuelectenerg-3305	309	2	g(x1	g(x1	NOUN
fuelectenerg-3305	309	3	,	,	PUNCT
fuelectenerg-3305	309	4	·	·	PUNCT
fuelectenerg-3305	309	5	·	·	PUNCT
fuelectenerg-3305	309	6	·	·	PUNCT
fuelectenerg-3305	309	7	,	,	PUNCT
fuelectenerg-3305	309	8	xn	xn	X
fuelectenerg-3305	309	9	)	)	PUNCT
fuelectenerg-3305	309	10	=	=	SYM
fuelectenerg-3305	309	11	f(x1	f(x1	X
fuelectenerg-3305	309	12	,	,	PUNCT
fuelectenerg-3305	309	13	·	·	PUNCT
fuelectenerg-3305	309	14	·	·	PUNCT
fuelectenerg-3305	309	15	·	·	PUNCT
fuelectenerg-3305	309	16	,	,	PUNCT
fuelectenerg-3305	309	17	xn)⊕	xn)⊕	PUNCT
fuelectenerg-3305	309	18	xj1xj2xj3	xj1xj2xj3	PROPN
fuelectenerg-3305	309	19	⊕	⊕	PROPN
fuelectenerg-3305	309	20	xj4xj5	xj4xj5	PROPN
fuelectenerg-3305	309	21	x̄j3	x̄j3	PROPN
fuelectenerg-3305	310	1	where	where	SCONJ
fuelectenerg-3305	310	2	j1	j1	PROPN
fuelectenerg-3305	310	3	∈	∈	PROPN
fuelectenerg-3305	310	4	{	{	PUNCT
fuelectenerg-3305	310	5	i1	i1	PROPN
fuelectenerg-3305	310	6	,	,	PUNCT
fuelectenerg-3305	310	7	i2	i2	PROPN
fuelectenerg-3305	310	8	}	}	PUNCT
fuelectenerg-3305	310	9	,	,	PUNCT
fuelectenerg-3305	310	10	j2	j2	PROPN
fuelectenerg-3305	310	11	∈	∈	PROPN
fuelectenerg-3305	310	12	{	{	PUNCT
fuelectenerg-3305	310	13	i3	i3	PROPN
fuelectenerg-3305	310	14	,	,	PUNCT
fuelectenerg-3305	310	15	i4	i4	PROPN
fuelectenerg-3305	310	16	}	}	PUNCT
fuelectenerg-3305	310	17	,	,	PUNCT
fuelectenerg-3305	310	18	j3	j3	PROPN
fuelectenerg-3305	310	19	/∈	/∈	PROPN
fuelectenerg-3305	310	20	{	{	PUNCT
fuelectenerg-3305	310	21	i1	i1	PROPN
fuelectenerg-3305	310	22	,	,	PUNCT
fuelectenerg-3305	310	23	i2	i2	PROPN
fuelectenerg-3305	310	24	,	,	PUNCT
fuelectenerg-3305	310	25	i3	i3	NOUN
fuelectenerg-3305	310	26	,	,	PUNCT
fuelectenerg-3305	310	27	i4	i4	PROPN
fuelectenerg-3305	310	28	}	}	PUNCT
fuelectenerg-3305	310	29	,	,	PUNCT
fuelectenerg-3305	310	30	j4	j4	PROPN
fuelectenerg-3305	310	31	=	=	SYM
fuelectenerg-3305	310	32	{	{	PUNCT
fuelectenerg-3305	310	33	i1	i1	PROPN
fuelectenerg-3305	310	34	,	,	PUNCT
fuelectenerg-3305	310	35	i2	i2	PROPN
fuelectenerg-3305	310	36	}	}	PUNCT
fuelectenerg-3305	310	37	\	\	PROPN
fuelectenerg-3305	310	38	j1	j1	PROPN
fuelectenerg-3305	310	39	,	,	PUNCT
fuelectenerg-3305	310	40	and	and	CCONJ
fuelectenerg-3305	310	41	j5	j5	PROPN
fuelectenerg-3305	310	42	=	=	SYM
fuelectenerg-3305	310	43	{	{	PUNCT
fuelectenerg-3305	310	44	i3	i3	PROPN
fuelectenerg-3305	310	45	,	,	PUNCT
fuelectenerg-3305	310	46	i4	i4	PROPN
fuelectenerg-3305	310	47	}	}	PUNCT
fuelectenerg-3305	310	48	\	\	PROPN
fuelectenerg-3305	310	49	j2	j2	PROPN
fuelectenerg-3305	310	50	.	.	PUNCT
fuelectenerg-3305	311	1	the	the	DET
fuelectenerg-3305	311	2	following	follow	VERB
fuelectenerg-3305	311	3	relations	relation	NOUN
fuelectenerg-3305	311	4	between	between	ADP
fuelectenerg-3305	311	5	pairs	pair	NOUN
fuelectenerg-3305	311	6	of	of	ADP
fuelectenerg-3305	311	7	spectral	spectral	ADJ
fuelectenerg-3305	311	8	coefficients	coefficient	NOUN
fuelectenerg-3305	311	9	of	of	ADP
fuelectenerg-3305	311	10	f	f	PROPN
fuelectenerg-3305	311	11	and	and	CCONJ
fuelectenerg-3305	311	12	g	g	PROPN
fuelectenerg-3305	311	13	exist	exist	VERB
fuelectenerg-3305	311	14	sgb1,b2=1,b3,b4=1,b5=0	sgb1,b2=1,b3,b4=1,b5=0	ADJ
fuelectenerg-3305	311	15	↔	↔	PROPN
fuelectenerg-3305	311	16	sf	sf	PROPN
fuelectenerg-3305	311	17	b1,b2=1,b3,b4=1,b5=1	b1,b2=1,b3,b4=1,b5=1	PROPN
fuelectenerg-3305	311	18	,	,	PUNCT
fuelectenerg-3305	311	19	sgb1,b2=1,b3,b4=1,b5=1	sgb1,b2=1,b3,b4=1,b5=1	VERB
fuelectenerg-3305	311	20	↔	↔	PROPN
fuelectenerg-3305	311	21	sf	sf	NOUN
fuelectenerg-3305	311	22	b1,b2=1,b3,b4=1,b5=0	b1,b2=1,b3,b4=1,b5=0	PROPN
fuelectenerg-3305	311	23	,	,	PUNCT
fuelectenerg-3305	311	24	for	for	ADP
fuelectenerg-3305	311	25	b1	b1	NOUN
fuelectenerg-3305	311	26	,	,	PUNCT
fuelectenerg-3305	311	27	b3	b3	PROPN
fuelectenerg-3305	311	28	∈	∈	PROPN
fuelectenerg-3305	311	29	(	(	PUNCT
fuelectenerg-3305	311	30	0	0	NUM
fuelectenerg-3305	311	31	,	,	PUNCT
fuelectenerg-3305	311	32	1	1	NUM
fuelectenerg-3305	311	33	)	)	PUNCT
fuelectenerg-3305	311	34	,	,	PUNCT
fuelectenerg-3305	311	35	sgb1=1,b2,b3=1,b4,b5=0	sgb1=1,b2,b3=1,b4,b5=0	X
fuelectenerg-3305	311	36	↔	↔	PROPN
fuelectenerg-3305	311	37	−sf	−sf	PROPN
fuelectenerg-3305	311	38	b1=1,b2,b3=1,b4,b5=1	b1=1,b2,b3=1,b4,b5=1	NOUN
fuelectenerg-3305	311	39	,	,	PUNCT
fuelectenerg-3305	311	40	sgb1=1,b2,b3=1,b4,b5=1	sgb1=1,b2,b3=1,b4,b5=1	NOUN
fuelectenerg-3305	311	41	↔	↔	PROPN
fuelectenerg-3305	311	42	−sf	−sf	PROPN
fuelectenerg-3305	311	43	b1=1,b2,b3=1,b4,b5=0	b1=1,b2,b3=1,b4,b5=0	NOUN
fuelectenerg-3305	311	44	,	,	PUNCT
fuelectenerg-3305	311	45	for	for	ADP
fuelectenerg-3305	311	46	b2	b2	NOUN
fuelectenerg-3305	311	47	,	,	PUNCT
fuelectenerg-3305	311	48	b4	b4	NOUN
fuelectenerg-3305	311	49	∈	∈	PROPN
fuelectenerg-3305	311	50	(	(	PUNCT
fuelectenerg-3305	311	51	0	0	NUM
fuelectenerg-3305	311	52	,	,	PUNCT
fuelectenerg-3305	311	53	1	1	NUM
fuelectenerg-3305	311	54	)	)	PUNCT
fuelectenerg-3305	311	55	.	.	PUNCT
fuelectenerg-3305	312	1	it	it	PRON
fuelectenerg-3305	312	2	is	be	AUX
fuelectenerg-3305	312	3	possible	possible	ADJ
fuelectenerg-3305	312	4	to	to	PART
fuelectenerg-3305	312	5	prove	prove	VERB
fuelectenerg-3305	312	6	the	the	DET
fuelectenerg-3305	312	7	theorem	theorem	NOUN
fuelectenerg-3305	312	8	2	2	NUM
fuelectenerg-3305	312	9	by	by	ADP
fuelectenerg-3305	312	10	using	use	VERB
fuelectenerg-3305	312	11	the	the	DET
fuelectenerg-3305	312	12	same	same	ADJ
fuelectenerg-3305	312	13	approach	approach	NOUN
fuelectenerg-3305	312	14	as	as	ADP
fuelectenerg-3305	312	15	in	in	ADP
fuelectenerg-3305	312	16	theorem	theorem	NOUN
fuelectenerg-3305	312	17	1	1	NUM
fuelectenerg-3305	312	18	.	.	PUNCT
fuelectenerg-3305	312	19	example	example	NOUN
fuelectenerg-3305	313	1	1	1	NUM
fuelectenerg-3305	313	2	consider	consider	VERB
fuelectenerg-3305	313	3	the	the	DET
fuelectenerg-3305	313	4	function	function	NOUN
fuelectenerg-3305	313	5	f(x1	f(x1	ADJ
fuelectenerg-3305	313	6	,	,	PUNCT
fuelectenerg-3305	313	7	·	·	PUNCT
fuelectenerg-3305	313	8	·	·	PUNCT
fuelectenerg-3305	313	9	·	·	PUNCT
fuelectenerg-3305	313	10	,	,	PUNCT
fuelectenerg-3305	313	11	x5	x5	PROPN
fuelectenerg-3305	313	12	)	)	PUNCT
fuelectenerg-3305	313	13	=	=	SYM
fuelectenerg-3305	313	14	x1x2	x1x2	PROPN
fuelectenerg-3305	313	15	⊕	⊕	PROPN
fuelectenerg-3305	313	16	x3x4	x3x4	PROPN
fuelectenerg-3305	313	17	⊕	⊕	PROPN
fuelectenerg-3305	313	18	x5	x5	PROPN
fuelectenerg-3305	313	19	with	with	ADP
fuelectenerg-3305	313	20	the	the	DET
fuelectenerg-3305	313	21	spectrum	spectrum	NOUN
fuelectenerg-3305	313	22	sf	sf	NOUN
fuelectenerg-3305	313	23	=	=	PUNCT
fuelectenerg-3305	314	1	[	[	X
fuelectenerg-3305	314	2	0	0	NUM
fuelectenerg-3305	314	3	,	,	PUNCT
fuelectenerg-3305	314	4	8	8	NUM
fuelectenerg-3305	314	5	,	,	PUNCT
fuelectenerg-3305	314	6	0	0	NUM
fuelectenerg-3305	314	7	,	,	PUNCT
fuelectenerg-3305	314	8	8	8	NUM
fuelectenerg-3305	314	9	,	,	PUNCT
fuelectenerg-3305	314	10	0	0	NUM
fuelectenerg-3305	314	11	,	,	PUNCT
fuelectenerg-3305	314	12	8	8	NUM
fuelectenerg-3305	314	13	,	,	PUNCT
fuelectenerg-3305	314	14	0,−8	0,−8	PROPN
fuelectenerg-3305	314	15	,	,	PUNCT
fuelectenerg-3305	314	16	0	0	NUM
fuelectenerg-3305	314	17	,	,	PUNCT
fuelectenerg-3305	314	18	8	8	NUM
fuelectenerg-3305	314	19	,	,	PUNCT
fuelectenerg-3305	314	20	0	0	NUM
fuelectenerg-3305	314	21	,	,	PUNCT
fuelectenerg-3305	314	22	8	8	NUM
fuelectenerg-3305	314	23	,	,	PUNCT
fuelectenerg-3305	314	24	0	0	NUM
fuelectenerg-3305	314	25	,	,	PUNCT
fuelectenerg-3305	314	26	8	8	NUM
fuelectenerg-3305	314	27	,	,	PUNCT
fuelectenerg-3305	314	28	0,−8	0,−8	PROPN
fuelectenerg-3305	314	29	,	,	PUNCT
fuelectenerg-3305	314	30	0	0	NUM
fuelectenerg-3305	314	31	,	,	PUNCT
fuelectenerg-3305	314	32	8	8	NUM
fuelectenerg-3305	314	33	,	,	PUNCT
fuelectenerg-3305	314	34	0	0	NUM
fuelectenerg-3305	314	35	,	,	PUNCT
fuelectenerg-3305	314	36	8	8	NUM
fuelectenerg-3305	314	37	,	,	PUNCT
fuelectenerg-3305	314	38	0	0	NUM
fuelectenerg-3305	314	39	,	,	PUNCT
fuelectenerg-3305	314	40	8	8	NUM
fuelectenerg-3305	314	41	,	,	PUNCT
fuelectenerg-3305	314	42	0,−8	0,−8	PROPN
fuelectenerg-3305	314	43	,	,	PUNCT
fuelectenerg-3305	314	44	0,−8	0,−8	PROPN
fuelectenerg-3305	314	45	,	,	PUNCT
fuelectenerg-3305	314	46	0,−8	0,−8	PROPN
fuelectenerg-3305	314	47	,	,	PUNCT
fuelectenerg-3305	314	48	0,−8	0,−8	PROPN
fuelectenerg-3305	314	49	,	,	PUNCT
fuelectenerg-3305	314	50	0	0	NUM
fuelectenerg-3305	314	51	,	,	PUNCT
fuelectenerg-3305	314	52	8]t	8]t	NUM
fuelectenerg-3305	314	53	.	.	PUNCT
fuelectenerg-3305	315	1	by	by	ADP
fuelectenerg-3305	315	2	adding	add	VERB
fuelectenerg-3305	315	3	to	to	ADP
fuelectenerg-3305	315	4	f	f	PROPN
fuelectenerg-3305	315	5	the	the	DET
fuelectenerg-3305	315	6	product	product	NOUN
fuelectenerg-3305	315	7	of	of	ADP
fuelectenerg-3305	315	8	three	three	NUM
fuelectenerg-3305	315	9	variables	variable	NOUN
fuelectenerg-3305	315	10	(	(	PUNCT
fuelectenerg-3305	315	11	one	one	NUM
fuelectenerg-3305	315	12	variable	variable	NOUN
fuelectenerg-3305	315	13	from	from	ADP
fuelectenerg-3305	315	14	the	the	DET
fuelectenerg-3305	315	15	first	first	ADJ
fuelectenerg-3305	315	16	product	product	NOUN
fuelectenerg-3305	315	17	,	,	PUNCT
fuelectenerg-3305	315	18	the	the	DET
fuelectenerg-3305	315	19	second	second	ADJ
fuelectenerg-3305	315	20	from	from	ADP
fuelectenerg-3305	315	21	the	the	DET
fuelectenerg-3305	315	22	second	second	ADJ
fuelectenerg-3305	315	23	product	product	NOUN
fuelectenerg-3305	315	24	and	and	CCONJ
fuelectenerg-3305	315	25	as	as	ADP
fuelectenerg-3305	315	26	the	the	DET
fuelectenerg-3305	315	27	third	third	ADJ
fuelectenerg-3305	315	28	the	the	DET
fuelectenerg-3305	315	29	variable	variable	ADJ
fuelectenerg-3305	315	30	x5	x5	NOUN
fuelectenerg-3305	315	31	,	,	PUNCT
fuelectenerg-3305	315	32	not	not	PART
fuelectenerg-3305	315	33	included	include	VERB
fuelectenerg-3305	315	34	in	in	ADP
fuelectenerg-3305	315	35	the	the	DET
fuelectenerg-3305	315	36	products	product	NOUN
fuelectenerg-3305	315	37	)	)	PUNCT
fuelectenerg-3305	315	38	,	,	PUNCT
fuelectenerg-3305	315	39	a	a	DET
fuelectenerg-3305	315	40	new	new	ADJ
fuelectenerg-3305	315	41	function	function	NOUN
fuelectenerg-3305	315	42	g1(x1	g1(x1	NOUN
fuelectenerg-3305	315	43	,	,	PUNCT
fuelectenerg-3305	315	44	·	·	PUNCT
fuelectenerg-3305	315	45	·	·	PUNCT
fuelectenerg-3305	315	46	·	·	PUNCT
fuelectenerg-3305	315	47	,	,	PUNCT
fuelectenerg-3305	315	48	x5	x5	PROPN
fuelectenerg-3305	315	49	)	)	PUNCT
fuelectenerg-3305	315	50	=	=	SYM
fuelectenerg-3305	315	51	f(x1	f(x1	X
fuelectenerg-3305	315	52	,	,	PUNCT
fuelectenerg-3305	315	53	·	·	PUNCT
fuelectenerg-3305	315	54	·	·	PUNCT
fuelectenerg-3305	315	55	·	·	PUNCT
fuelectenerg-3305	315	56	,	,	PUNCT
fuelectenerg-3305	315	57	x5)⊕	x5)⊕	X
fuelectenerg-3305	315	58	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	315	59	=	=	PUNCT
fuelectenerg-3305	315	60	x1x2	x1x2	PROPN
fuelectenerg-3305	315	61	⊕	⊕	PROPN
fuelectenerg-3305	315	62	x3x4	x3x4	PROPN
fuelectenerg-3305	315	63	⊕	⊕	PROPN
fuelectenerg-3305	315	64	x5	x5	PROPN
fuelectenerg-3305	315	65	⊕	⊕	PROPN
fuelectenerg-3305	315	66	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	315	67	,	,	PUNCT
fuelectenerg-3305	315	68	is	be	AUX
fuelectenerg-3305	315	69	generated	generate	VERB
fuelectenerg-3305	315	70	.	.	PUNCT
fuelectenerg-3305	316	1	the	the	DET
fuelectenerg-3305	316	2	spectrum	spectrum	NOUN
fuelectenerg-3305	316	3	of	of	ADP
fuelectenerg-3305	316	4	g1	g1	PROPN
fuelectenerg-3305	316	5	is	be	AUX
fuelectenerg-3305	316	6	sg1	sg1	NOUN
fuelectenerg-3305	316	7	=	=	SYM
fuelectenerg-3305	317	1	[	[	X
fuelectenerg-3305	317	2	0	0	NUM
fuelectenerg-3305	317	3	,	,	PUNCT
fuelectenerg-3305	317	4	8	8	NUM
fuelectenerg-3305	317	5	,	,	PUNCT
fuelectenerg-3305	317	6	0	0	NUM
fuelectenerg-3305	317	7	,	,	PUNCT
fuelectenerg-3305	317	8	8	8	NUM
fuelectenerg-3305	317	9	,	,	PUNCT
fuelectenerg-3305	317	10	0	0	NUM
fuelectenerg-3305	317	11	,	,	PUNCT
fuelectenerg-3305	317	12	8	8	NUM
fuelectenerg-3305	317	13	,	,	PUNCT
fuelectenerg-3305	317	14	0,−8	0,−8	PROPN
fuelectenerg-3305	317	15	,	,	PUNCT
fuelectenerg-3305	317	16	0	0	NUM
fuelectenerg-3305	317	17	,	,	PUNCT
fuelectenerg-3305	317	18	8	8	NUM
fuelectenerg-3305	317	19	,	,	PUNCT
fuelectenerg-3305	317	20	8	8	NUM
fuelectenerg-3305	317	21	,	,	PUNCT
fuelectenerg-3305	317	22	0	0	NUM
fuelectenerg-3305	317	23	,	,	PUNCT
fuelectenerg-3305	317	24	0	0	NUM
fuelectenerg-3305	317	25	,	,	PUNCT
fuelectenerg-3305	317	26	8,−8	8,−8	NUM
fuelectenerg-3305	317	27	,	,	PUNCT
fuelectenerg-3305	317	28	0	0	NUM
fuelectenerg-3305	317	29	,	,	PUNCT
fuelectenerg-3305	317	30	0	0	NUM
fuelectenerg-3305	317	31	,	,	PUNCT
fuelectenerg-3305	317	32	8	8	NUM
fuelectenerg-3305	317	33	,	,	PUNCT
fuelectenerg-3305	317	34	0	0	NUM
fuelectenerg-3305	317	35	,	,	PUNCT
fuelectenerg-3305	317	36	8	8	NUM
fuelectenerg-3305	317	37	,	,	PUNCT
fuelectenerg-3305	317	38	0	0	NUM
fuelectenerg-3305	317	39	,	,	PUNCT
fuelectenerg-3305	317	40	8	8	NUM
fuelectenerg-3305	317	41	,	,	PUNCT
fuelectenerg-3305	317	42	0,−8	0,−8	PROPN
fuelectenerg-3305	317	43	,	,	PUNCT
fuelectenerg-3305	317	44	0,−8,−8	0,−8,−8	ADJ
fuelectenerg-3305	317	45	,	,	PUNCT
fuelectenerg-3305	317	46	0	0	NUM
fuelectenerg-3305	317	47	,	,	PUNCT
fuelectenerg-3305	317	48	0,−8	0,−8	PROPN
fuelectenerg-3305	317	49	,	,	PUNCT
fuelectenerg-3305	317	50	8	8	NUM
fuelectenerg-3305	317	51	,	,	PUNCT
fuelectenerg-3305	317	52	0]t	0]t	NUM
fuelectenerg-3305	317	53	,	,	PUNCT
fuelectenerg-3305	317	54	an	an	DET
fuelectenerg-3305	317	55	improved	improve	VERB
fuelectenerg-3305	317	56	spectral	spectral	ADJ
fuelectenerg-3305	317	57	classification	classification	NOUN
fuelectenerg-3305	317	58	of	of	ADP
fuelectenerg-3305	317	59	boolean	boolean	ADJ
fuelectenerg-3305	317	60	functions	function	NOUN
fuelectenerg-3305	317	61	...	...	PUNCT
fuelectenerg-3305	317	62	11	11	NUM
fuelectenerg-3305	318	1	and	and	CCONJ
fuelectenerg-3305	318	2	it	it	PRON
fuelectenerg-3305	318	3	is	be	AUX
fuelectenerg-3305	318	4	related	relate	VERB
fuelectenerg-3305	318	5	to	to	ADP
fuelectenerg-3305	318	6	the	the	DET
fuelectenerg-3305	318	7	spectrum	spectrum	NOUN
fuelectenerg-3305	318	8	of	of	ADP
fuelectenerg-3305	318	9	f	f	PROPN
fuelectenerg-3305	318	10	as	as	SCONJ
fuelectenerg-3305	318	11	follows	follow	VERB
fuelectenerg-3305	318	12	sg101010	sg101010	NOUN
fuelectenerg-3305	318	13	=	=	PUNCT
fuelectenerg-3305	318	14	sf	sf	PROPN
fuelectenerg-3305	318	15	01011	01011	NUM
fuelectenerg-3305	319	1	sg101011	sg101011	PROPN
fuelectenerg-3305	319	2	=	=	NOUN
fuelectenerg-3305	319	3	sf	sf	NOUN
fuelectenerg-3305	319	4	01010	01010	NUM
fuelectenerg-3305	319	5	sg101110	sg101110	PROPN
fuelectenerg-3305	320	1	=	=	SYM
fuelectenerg-3305	320	2	sf	sf	NOUN
fuelectenerg-3305	320	3	01111	01111	NUM
fuelectenerg-3305	320	4	sg101111	sg101111	PROPN
fuelectenerg-3305	320	5	=	=	PROPN
fuelectenerg-3305	320	6	sf	sf	PROPN
fuelectenerg-3305	320	7	01110	01110	NUM
fuelectenerg-3305	320	8	sg111010	sg111010	PROPN
fuelectenerg-3305	320	9	=	=	PROPN
fuelectenerg-3305	321	1	sf	sf	PROPN
fuelectenerg-3305	321	2	11011	11011	NUM
fuelectenerg-3305	321	3	sg111011	sg111011	ADJ
fuelectenerg-3305	322	1	=	=	SYM
fuelectenerg-3305	323	1	sf	sf	NOUN
fuelectenerg-3305	323	2	11010	11010	NUM
fuelectenerg-3305	323	3	sg111110	sg111110	NOUN
fuelectenerg-3305	323	4	=	=	PUNCT
fuelectenerg-3305	324	1	sf	sf	PROPN
fuelectenerg-3305	324	2	11111	11111	NUM
fuelectenerg-3305	324	3	sg111111	sg111111	PROPN
fuelectenerg-3305	324	4	=	=	PROPN
fuelectenerg-3305	324	5	sf	sf	NOUN
fuelectenerg-3305	324	6	11110	11110	NUM
fuelectenerg-3305	324	7	.	.	PUNCT
fuelectenerg-3305	325	1	also	also	ADV
fuelectenerg-3305	325	2	,	,	PUNCT
fuelectenerg-3305	325	3	it	it	PRON
fuelectenerg-3305	325	4	is	be	AUX
fuelectenerg-3305	325	5	possible	possible	ADJ
fuelectenerg-3305	325	6	to	to	PART
fuelectenerg-3305	325	7	generate	generate	VERB
fuelectenerg-3305	325	8	from	from	ADP
fuelectenerg-3305	325	9	f	f	PROPN
fuelectenerg-3305	325	10	a	a	DET
fuelectenerg-3305	325	11	new	new	ADJ
fuelectenerg-3305	325	12	function	function	NOUN
fuelectenerg-3305	325	13	by	by	ADP
fuelectenerg-3305	325	14	adding	add	VERB
fuelectenerg-3305	325	15	two	two	NUM
fuelectenerg-3305	325	16	products	product	NOUN
fuelectenerg-3305	325	17	with	with	ADP
fuelectenerg-3305	325	18	three	three	NUM
fuelectenerg-3305	325	19	variables	variable	NOUN
fuelectenerg-3305	325	20	,	,	PUNCT
fuelectenerg-3305	325	21	one	one	NUM
fuelectenerg-3305	325	22	product	product	NOUN
fuelectenerg-3305	325	23	with	with	ADP
fuelectenerg-3305	325	24	x5	x5	PROPN
fuelectenerg-3305	325	25	and	and	CCONJ
fuelectenerg-3305	325	26	the	the	DET
fuelectenerg-3305	325	27	second	second	ADJ
fuelectenerg-3305	325	28	with	with	ADP
fuelectenerg-3305	325	29	x̄5	x̄5	PROPN
fuelectenerg-3305	325	30	as	as	ADP
fuelectenerg-3305	325	31	in	in	ADP
fuelectenerg-3305	325	32	the	the	DET
fuelectenerg-3305	325	33	following	follow	VERB
fuelectenerg-3305	325	34	example	example	NOUN
fuelectenerg-3305	325	35	.	.	PUNCT
fuelectenerg-3305	326	1	example	example	NOUN
fuelectenerg-3305	326	2	2	2	NUM
fuelectenerg-3305	326	3	consider	consider	VERB
fuelectenerg-3305	326	4	again	again	ADV
fuelectenerg-3305	326	5	the	the	DET
fuelectenerg-3305	326	6	function	function	NOUN
fuelectenerg-3305	326	7	f	f	PROPN
fuelectenerg-3305	326	8	in	in	ADP
fuelectenerg-3305	326	9	example	example	NOUN
fuelectenerg-3305	326	10	1	1	NUM
fuelectenerg-3305	326	11	and	and	CCONJ
fuelectenerg-3305	326	12	a	a	DET
fuelectenerg-3305	326	13	new	new	ADJ
fuelectenerg-3305	326	14	function	function	NOUN
fuelectenerg-3305	326	15	g2(x1	g2(x1	PROPN
fuelectenerg-3305	326	16	,	,	PUNCT
fuelectenerg-3305	326	17	·	·	PUNCT
fuelectenerg-3305	326	18	·	·	PUNCT
fuelectenerg-3305	326	19	·	·	PUNCT
fuelectenerg-3305	326	20	,	,	PUNCT
fuelectenerg-3305	326	21	x5	x5	PROPN
fuelectenerg-3305	326	22	)	)	PUNCT
fuelectenerg-3305	326	23	=	=	SYM
fuelectenerg-3305	326	24	f(x1	f(x1	X
fuelectenerg-3305	326	25	,	,	PUNCT
fuelectenerg-3305	326	26	·	·	PUNCT
fuelectenerg-3305	326	27	·	·	PUNCT
fuelectenerg-3305	326	28	·	·	PUNCT
fuelectenerg-3305	326	29	,	,	PUNCT
fuelectenerg-3305	326	30	x5)⊕	x5)⊕	X
fuelectenerg-3305	326	31	x1x3x̄5	x1x3x̄5	PROPN
fuelectenerg-3305	326	32	⊕	⊕	PROPN
fuelectenerg-3305	326	33	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	327	1	=	=	X
fuelectenerg-3305	327	2	x1x2	x1x2	PROPN
fuelectenerg-3305	328	1	⊕	⊕	PROPN
fuelectenerg-3305	328	2	x3x4	x3x4	PROPN
fuelectenerg-3305	328	3	⊕	⊕	PROPN
fuelectenerg-3305	328	4	x5	x5	PROPN
fuelectenerg-3305	328	5	⊕	⊕	PROPN
fuelectenerg-3305	328	6	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	328	7	⊕	⊕	PROPN
fuelectenerg-3305	328	8	x1x3	x1x3	PROPN
fuelectenerg-3305	328	9	⊕	⊕	PROPN
fuelectenerg-3305	328	10	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	328	11	.	.	PUNCT
fuelectenerg-3305	329	1	the	the	DET
fuelectenerg-3305	329	2	function	function	NOUN
fuelectenerg-3305	329	3	g2	g2	PROPN
fuelectenerg-3305	329	4	has	have	VERB
fuelectenerg-3305	329	5	the	the	DET
fuelectenerg-3305	329	6	spectrum	spectrum	NOUN
fuelectenerg-3305	329	7	sg2	sg2	PROPN
fuelectenerg-3305	329	8	=	=	PUNCT
fuelectenerg-3305	330	1	[	[	X
fuelectenerg-3305	330	2	0	0	NUM
fuelectenerg-3305	330	3	,	,	PUNCT
fuelectenerg-3305	330	4	8	8	NUM
fuelectenerg-3305	330	5	,	,	PUNCT
fuelectenerg-3305	330	6	0	0	NUM
fuelectenerg-3305	330	7	,	,	PUNCT
fuelectenerg-3305	330	8	8	8	NUM
fuelectenerg-3305	330	9	,	,	PUNCT
fuelectenerg-3305	330	10	0	0	NUM
fuelectenerg-3305	330	11	,	,	PUNCT
fuelectenerg-3305	330	12	8	8	NUM
fuelectenerg-3305	330	13	,	,	PUNCT
fuelectenerg-3305	330	14	0,−8	0,−8	PROPN
fuelectenerg-3305	330	15	,	,	PUNCT
fuelectenerg-3305	330	16	0	0	NUM
fuelectenerg-3305	330	17	,	,	PUNCT
fuelectenerg-3305	330	18	8,−8	8,−8	NUM
fuelectenerg-3305	330	19	,	,	PUNCT
fuelectenerg-3305	330	20	0	0	NUM
fuelectenerg-3305	330	21	,	,	PUNCT
fuelectenerg-3305	330	22	0	0	NUM
fuelectenerg-3305	330	23	,	,	PUNCT
fuelectenerg-3305	330	24	8	8	NUM
fuelectenerg-3305	330	25	,	,	PUNCT
fuelectenerg-3305	330	26	8	8	NUM
fuelectenerg-3305	330	27	,	,	PUNCT
fuelectenerg-3305	330	28	0	0	NUM
fuelectenerg-3305	330	29	,	,	PUNCT
fuelectenerg-3305	330	30	0	0	NUM
fuelectenerg-3305	330	31	,	,	PUNCT
fuelectenerg-3305	330	32	8	8	NUM
fuelectenerg-3305	330	33	,	,	PUNCT
fuelectenerg-3305	330	34	0	0	NUM
fuelectenerg-3305	330	35	,	,	PUNCT
fuelectenerg-3305	330	36	8	8	NUM
fuelectenerg-3305	330	37	,	,	PUNCT
fuelectenerg-3305	330	38	8	8	NUM
fuelectenerg-3305	330	39	,	,	PUNCT
fuelectenerg-3305	330	40	0,−8	0,−8	PROPN
fuelectenerg-3305	330	41	,	,	PUNCT
fuelectenerg-3305	330	42	0	0	NUM
fuelectenerg-3305	330	43	,	,	PUNCT
fuelectenerg-3305	330	44	0,−8	0,−8	PROPN
fuelectenerg-3305	330	45	,	,	PUNCT
fuelectenerg-3305	330	46	8	8	NUM
fuelectenerg-3305	330	47	,	,	PUNCT
fuelectenerg-3305	330	48	0,−8	0,−8	PROPN
fuelectenerg-3305	330	49	,	,	PUNCT
fuelectenerg-3305	330	50	0	0	NUM
fuelectenerg-3305	330	51	,	,	PUNCT
fuelectenerg-3305	330	52	0,−8]t	0,−8]t	NOUN
fuelectenerg-3305	330	53	,	,	PUNCT
fuelectenerg-3305	330	54	related	relate	VERB
fuelectenerg-3305	330	55	to	to	ADP
fuelectenerg-3305	330	56	the	the	DET
fuelectenerg-3305	330	57	spectrum	spectrum	NOUN
fuelectenerg-3305	330	58	of	of	ADP
fuelectenerg-3305	330	59	f	f	PROPN
fuelectenerg-3305	330	60	by	by	ADP
fuelectenerg-3305	330	61	the	the	DET
fuelectenerg-3305	330	62	permutation	permutation	NOUN
fuelectenerg-3305	330	63	of	of	ADP
fuelectenerg-3305	330	64	the	the	DET
fuelectenerg-3305	330	65	following	follow	VERB
fuelectenerg-3305	330	66	coefficients	coefficient	NOUN
fuelectenerg-3305	330	67	sg201010	sg201010	NOUN
fuelectenerg-3305	330	68	=	=	SYM
fuelectenerg-3305	330	69	−sf	−sf	PROPN
fuelectenerg-3305	330	70	01011	01011	NUM
fuelectenerg-3305	330	71	sg201011	sg201011	PROPN
fuelectenerg-3305	330	72	=	=	PUNCT
fuelectenerg-3305	330	73	−sf	−sf	PROPN
fuelectenerg-3305	330	74	01010	01010	NUM
fuelectenerg-3305	330	75	sg201110	sg201110	NOUN
fuelectenerg-3305	330	76	=	=	SYM
fuelectenerg-3305	330	77	−sf	−sf	PROPN
fuelectenerg-3305	330	78	01111	01111	NUM
fuelectenerg-3305	330	79	sg201111	sg201111	PROPN
fuelectenerg-3305	330	80	=	=	SYM
fuelectenerg-3305	330	81	−sf	−sf	PROPN
fuelectenerg-3305	330	82	01110	01110	NUM
fuelectenerg-3305	330	83	sg211010	sg211010	PROPN
fuelectenerg-3305	330	84	=	=	SYM
fuelectenerg-3305	330	85	−sf	−sf	PROPN
fuelectenerg-3305	330	86	11011	11011	NUM
fuelectenerg-3305	330	87	sg211011	sg211011	PROPN
fuelectenerg-3305	330	88	=	=	SYM
fuelectenerg-3305	330	89	−sf	−sf	PROPN
fuelectenerg-3305	330	90	11010	11010	NUM
fuelectenerg-3305	330	91	sg211110	sg211110	NOUN
fuelectenerg-3305	330	92	=	=	SYM
fuelectenerg-3305	330	93	−sf	−sf	PROPN
fuelectenerg-3305	330	94	11111	11111	NUM
fuelectenerg-3305	330	95	sg211111	sg211111	PROPN
fuelectenerg-3305	330	96	=	=	SYM
fuelectenerg-3305	330	97	−sf	−sf	PROPN
fuelectenerg-3305	330	98	11110	11110	NUM
fuelectenerg-3305	330	99	sg210100	sg210100	NOUN
fuelectenerg-3305	330	100	=	=	PUNCT
fuelectenerg-3305	331	1	sf	sf	PROPN
fuelectenerg-3305	331	2	10101	10101	NUM
fuelectenerg-3305	331	3	sg210101	sg210101	NOUN
fuelectenerg-3305	331	4	=	=	PUNCT
fuelectenerg-3305	331	5	sf	sf	PROPN
fuelectenerg-3305	331	6	10100	10100	NUM
fuelectenerg-3305	331	7	sg210110	sg210110	PROPN
fuelectenerg-3305	331	8	=	=	SYM
fuelectenerg-3305	331	9	sf	sf	PROPN
fuelectenerg-3305	331	10	10111	10111	NUM
fuelectenerg-3305	331	11	sg210111	sg210111	PROPN
fuelectenerg-3305	331	12	=	=	SYM
fuelectenerg-3305	332	1	sf	sf	PROPN
fuelectenerg-3305	332	2	10110	10110	NUM
fuelectenerg-3305	332	3	sg211100	sg211100	NOUN
fuelectenerg-3305	332	4	=	=	SYM
fuelectenerg-3305	332	5	sf	sf	NOUN
fuelectenerg-3305	332	6	11101	11101	NUM
fuelectenerg-3305	332	7	sg211101	sg211101	NOUN
fuelectenerg-3305	332	8	=	=	PUNCT
fuelectenerg-3305	332	9	sf	sf	PROPN
fuelectenerg-3305	332	10	11100	11100	NUM
fuelectenerg-3305	332	11	sg211110	sg211110	NOUN
fuelectenerg-3305	332	12	=	=	PUNCT
fuelectenerg-3305	332	13	sf	sf	PROPN
fuelectenerg-3305	332	14	11111	11111	NUM
fuelectenerg-3305	332	15	sg211111	sg211111	PROPN
fuelectenerg-3305	332	16	=	=	PROPN
fuelectenerg-3305	332	17	sf	sf	PROPN
fuelectenerg-3305	332	18	11110	11110	NUM
fuelectenerg-3305	332	19	.	.	PUNCT
fuelectenerg-3305	333	1	note	note	VERB
fuelectenerg-3305	333	2	that	that	SCONJ
fuelectenerg-3305	333	3	it	it	PRON
fuelectenerg-3305	333	4	is	be	AUX
fuelectenerg-3305	333	5	possible	possible	ADJ
fuelectenerg-3305	333	6	to	to	PART
fuelectenerg-3305	333	7	generalize	generalize	VERB
fuelectenerg-3305	333	8	the	the	DET
fuelectenerg-3305	333	9	operations	operation	NOUN
fuelectenerg-3305	333	10	defined	define	VERB
fuelectenerg-3305	333	11	in	in	ADP
fuelectenerg-3305	333	12	theorem	theorem	ADJ
fuelectenerg-3305	333	13	1	1	NUM
fuelectenerg-3305	333	14	and	and	CCONJ
fuelectenerg-3305	333	15	theorem	theorem	VERB
fuelectenerg-3305	333	16	2	2	NUM
fuelectenerg-3305	333	17	.	.	PUNCT
fuelectenerg-3305	333	18	when	when	SCONJ
fuelectenerg-3305	333	19	the	the	DET
fuelectenerg-3305	333	20	function	function	NOUN
fuelectenerg-3305	333	21	f	f	PROPN
fuelectenerg-3305	333	22	has	have	VERB
fuelectenerg-3305	333	23	more	more	ADJ
fuelectenerg-3305	333	24	than	than	ADP
fuelectenerg-3305	333	25	two	two	NUM
fuelectenerg-3305	333	26	disjoint	disjoint	NOUN
fuelectenerg-3305	333	27	product	product	NOUN
fuelectenerg-3305	333	28	in	in	ADP
fuelectenerg-3305	333	29	the	the	DET
fuelectenerg-3305	333	30	polynomial	polynomial	ADJ
fuelectenerg-3305	333	31	form	form	NOUN
fuelectenerg-3305	333	32	it	it	PRON
fuelectenerg-3305	333	33	is	be	AUX
fuelectenerg-3305	333	34	possible	possible	ADJ
fuelectenerg-3305	333	35	to	to	PART
fuelectenerg-3305	333	36	add	add	VERB
fuelectenerg-3305	333	37	products	product	NOUN
fuelectenerg-3305	333	38	with	with	ADP
fuelectenerg-3305	333	39	more	more	ADJ
fuelectenerg-3305	333	40	than	than	ADP
fuelectenerg-3305	333	41	three	three	NUM
fuelectenerg-3305	333	42	variables	variable	NOUN
fuelectenerg-3305	333	43	by	by	ADP
fuelectenerg-3305	333	44	selecting	select	VERB
fuelectenerg-3305	333	45	the	the	DET
fuelectenerg-3305	333	46	variables	variable	NOUN
fuelectenerg-3305	333	47	by	by	ADP
fuelectenerg-3305	333	48	following	follow	VERB
fuelectenerg-3305	333	49	the	the	DET
fuelectenerg-3305	333	50	described	describe	VERB
fuelectenerg-3305	333	51	rules	rule	NOUN
fuelectenerg-3305	333	52	.	.	PUNCT
fuelectenerg-3305	334	1	4	4	NUM
fuelectenerg-3305	334	2	classes	class	NOUN
fuelectenerg-3305	334	3	45a	45a	NOUN
fuelectenerg-3305	334	4	,	,	PUNCT
fuelectenerg-3305	334	5	45b	45b	NOUN
fuelectenerg-3305	334	6	and	and	CCONJ
fuelectenerg-3305	334	7	47	47	NUM
fuelectenerg-3305	334	8	in	in	ADP
fuelectenerg-3305	334	9	this	this	DET
fuelectenerg-3305	334	10	section	section	NOUN
fuelectenerg-3305	334	11	,	,	PUNCT
fuelectenerg-3305	334	12	we	we	PRON
fuelectenerg-3305	334	13	consider	consider	VERB
fuelectenerg-3305	334	14	relationships	relationship	NOUN
fuelectenerg-3305	334	15	between	between	ADP
fuelectenerg-3305	334	16	functions	function	NOUN
fuelectenerg-3305	334	17	in	in	ADP
fuelectenerg-3305	334	18	the	the	DET
fuelectenerg-3305	334	19	classes	class	NOUN
fuelectenerg-3305	334	20	45a	45a	NOUN
fuelectenerg-3305	334	21	,	,	PUNCT
fuelectenerg-3305	334	22	45b	45b	NOUN
fuelectenerg-3305	334	23	,	,	PUNCT
fuelectenerg-3305	334	24	and	and	CCONJ
fuelectenerg-3305	334	25	47	47	NUM
fuelectenerg-3305	334	26	.	.	NOUN
fuelectenerg-3305	334	27	198	198	NUM
fuelectenerg-3305	334	28	m.	m.	NOUN
fuelectenerg-3305	334	29	stanković	stanković	NOUN
fuelectenerg-3305	334	30	,	,	PUNCT
fuelectenerg-3305	334	31	c.	c.	PROPN
fuelectenerg-3305	334	32	moraga	moraga	PROPN
fuelectenerg-3305	334	33	,	,	PUNCT
fuelectenerg-3305	334	34	r.	r.	PROPN
fuelectenerg-3305	334	35	s.	s.	PROPN
fuelectenerg-3305	334	36	stanković	stanković	PROPN
fuelectenerg-3305	334	37	an	an	DET
fuelectenerg-3305	334	38	improved	improved	ADJ
fuelectenerg-3305	334	39	spectral	spectral	ADJ
fuelectenerg-3305	334	40	classification	classification	NOUN
fuelectenerg-3305	334	41	of	of	ADP
fuelectenerg-3305	334	42	boolean	boolean	ADJ
fuelectenerg-3305	334	43	functions	function	NOUN
fuelectenerg-3305	334	44	...	...	PUNCT
fuelectenerg-3305	334	45	199	199	NUM
fuelectenerg-3305	334	46	12	12	NUM
fuelectenerg-3305	334	47	m.	m.	NOUN
fuelectenerg-3305	334	48	stankovic	stankovic	PROPN
fuelectenerg-3305	334	49	,	,	PUNCT
fuelectenerg-3305	334	50	c.	c.	PROPN
fuelectenerg-3305	334	51	moraga	moraga	PROPN
fuelectenerg-3305	334	52	,	,	PUNCT
fuelectenerg-3305	334	53	r.	r.	PROPN
fuelectenerg-3305	334	54	s.	s.	PROPN
fuelectenerg-3305	334	55	stanković	stanković	PROPN
fuelectenerg-3305	334	56	table	table	PROPN
fuelectenerg-3305	334	57	6	6	NUM
fuelectenerg-3305	334	58	:	:	PUNCT
fuelectenerg-3305	334	59	functions	function	NOUN
fuelectenerg-3305	334	60	in	in	ADP
fuelectenerg-3305	334	61	5	5	NUM
fuelectenerg-3305	334	62	variables	variable	NOUN
fuelectenerg-3305	334	63	with	with	ADP
fuelectenerg-3305	334	64	solely	solely	ADV
fuelectenerg-3305	334	65	products	product	NOUN
fuelectenerg-3305	334	66	of	of	ADP
fuelectenerg-3305	334	67	two	two	NUM
fuelectenerg-3305	334	68	and	and	CCONJ
fuelectenerg-3305	334	69	three	three	NUM
fuelectenerg-3305	334	70	variables	variable	NOUN
fuelectenerg-3305	334	71	in	in	ADP
fuelectenerg-3305	334	72	the	the	DET
fuelectenerg-3305	334	73	polynomial	polynomial	ADJ
fuelectenerg-3305	334	74	form	form	NOUN
fuelectenerg-3305	334	75	.	.	PUNCT
fuelectenerg-3305	335	1	number	number	NOUN
fuelectenerg-3305	335	2	of	of	ADP
fuelectenerg-3305	335	3	cubes	cube	NOUN
fuelectenerg-3305	335	4	pairs	pair	NOUN
fuelectenerg-3305	335	5	0	0	NUM
fuelectenerg-3305	335	6	1	1	NUM
fuelectenerg-3305	335	7	2	2	NUM
fuelectenerg-3305	335	8	3	3	NUM
fuelectenerg-3305	335	9	4	4	NUM
fuelectenerg-3305	335	10	5	5	NUM
fuelectenerg-3305	335	11	6	6	NUM
fuelectenerg-3305	335	12	7	7	NUM
fuelectenerg-3305	335	13	8	8	NUM
fuelectenerg-3305	335	14	9	9	NUM
fuelectenerg-3305	335	15	10	10	NUM
fuelectenerg-3305	335	16	0	0	NUM
fuelectenerg-3305	335	17	0	0	NUM
fuelectenerg-3305	335	18	0	0	NUM
fuelectenerg-3305	335	19	0	0	NUM
fuelectenerg-3305	335	20	0	0	NUM
fuelectenerg-3305	335	21	0	0	NUM
fuelectenerg-3305	335	22	0	0	NUM
fuelectenerg-3305	335	23	0	0	NUM
fuelectenerg-3305	335	24	0	0	NUM
fuelectenerg-3305	335	25	5	5	NUM
fuelectenerg-3305	335	26	0	0	NUM
fuelectenerg-3305	335	27	0	0	NUM
fuelectenerg-3305	335	28	1	1	NUM
fuelectenerg-3305	335	29	0	0	NUM
fuelectenerg-3305	335	30	0	0	NUM
fuelectenerg-3305	335	31	0	0	NUM
fuelectenerg-3305	335	32	0	0	NUM
fuelectenerg-3305	335	33	0	0	NUM
fuelectenerg-3305	335	34	60	60	NUM
fuelectenerg-3305	335	35	120	120	NUM
fuelectenerg-3305	335	36	180	180	NUM
fuelectenerg-3305	335	37	150	150	NUM
fuelectenerg-3305	335	38	0	0	NUM
fuelectenerg-3305	335	39	0	0	NUM
fuelectenerg-3305	335	40	2	2	NUM
fuelectenerg-3305	335	41	115	115	NUM
fuelectenerg-3305	335	42	60	60	NUM
fuelectenerg-3305	335	43	180	180	NUM
fuelectenerg-3305	335	44	360	360	NUM
fuelectenerg-3305	335	45	615	615	NUM
fuelectenerg-3305	335	46	1320	1320	NUM
fuelectenerg-3305	335	47	1170	1170	NUM
fuelectenerg-3305	335	48	900	900	NUM
fuelectenerg-3305	335	49	300	300	NUM
fuelectenerg-3305	335	50	120	120	NUM
fuelectenerg-3305	335	51	0	0	NUM
fuelectenerg-3305	335	52	3	3	NUM
fuelectenerg-3305	335	53	90	90	NUM
fuelectenerg-3305	335	54	360	360	NUM
fuelectenerg-3305	335	55	990	990	NUM
fuelectenerg-3305	335	56	1860	1860	NUM
fuelectenerg-3305	335	57	3990	3990	NUM
fuelectenerg-3305	335	58	4980	4980	NUM
fuelectenerg-3305	335	59	4470	4470	NUM
fuelectenerg-3305	335	60	2520	2520	NUM
fuelectenerg-3305	335	61	1110	1110	NUM
fuelectenerg-3305	335	62	120	120	NUM
fuelectenerg-3305	335	63	60	60	NUM
fuelectenerg-3305	335	64	4	4	NUM
fuelectenerg-3305	335	65	190	190	NUM
fuelectenerg-3305	335	66	840	840	NUM
fuelectenerg-3305	335	67	2250	2250	NUM
fuelectenerg-3305	335	68	4740	4740	NUM
fuelectenerg-3305	335	69	8490	8490	NUM
fuelectenerg-3305	335	70	11700	11700	NUM
fuelectenerg-3305	335	71	9630	9630	NUM
fuelectenerg-3305	335	72	4800	4800	NUM
fuelectenerg-3305	335	73	2340	2340	NUM
fuelectenerg-3305	335	74	480	480	NUM
fuelectenerg-3305	335	75	0	0	NUM
fuelectenerg-3305	335	76	5	5	NUM
fuelectenerg-3305	335	77	222	222	NUM
fuelectenerg-3305	335	78	1020	1020	NUM
fuelectenerg-3305	335	79	3270	3270	NUM
fuelectenerg-3305	335	80	7980	7980	NUM
fuelectenerg-3305	335	81	11310	11310	NUM
fuelectenerg-3305	335	82	15012	15012	NUM
fuelectenerg-3305	335	83	10290	10290	NUM
fuelectenerg-3305	335	84	6900	6900	NUM
fuelectenerg-3305	335	85	2730	2730	NUM
fuelectenerg-3305	335	86	480	480	NUM
fuelectenerg-3305	335	87	72	72	NUM
fuelectenerg-3305	335	88	6	6	NUM
fuelectenerg-3305	335	89	200	200	NUM
fuelectenerg-3305	335	90	720	720	NUM
fuelectenerg-3305	335	91	3390	3390	NUM
fuelectenerg-3305	335	92	7080	7080	NUM
fuelectenerg-3305	335	93	11130	11130	NUM
fuelectenerg-3305	335	94	10320	10320	NUM
fuelectenerg-3305	335	95	9270	9270	NUM
fuelectenerg-3305	335	96	5760	5760	NUM
fuelectenerg-3305	335	97	2460	2460	NUM
fuelectenerg-3305	335	98	360	360	NUM
fuelectenerg-3305	335	99	0	0	NUM
fuelectenerg-3305	335	100	7	7	NUM
fuelectenerg-3305	335	101	110	110	NUM
fuelectenerg-3305	335	102	300	300	NUM
fuelectenerg-3305	335	103	2010	2010	NUM
fuelectenerg-3305	335	104	3600	3600	NUM
fuelectenerg-3305	335	105	5610	5610	NUM
fuelectenerg-3305	335	106	6120	6120	NUM
fuelectenerg-3305	335	107	5250	5250	NUM
fuelectenerg-3305	335	108	2580	2580	NUM
fuelectenerg-3305	335	109	1410	1410	NUM
fuelectenerg-3305	335	110	360	360	NUM
fuelectenerg-3305	335	111	60	60	NUM
fuelectenerg-3305	335	112	8	8	NUM
fuelectenerg-3305	335	113	30	30	NUM
fuelectenerg-3305	335	114	60	60	NUM
fuelectenerg-3305	335	115	630	630	NUM
fuelectenerg-3305	335	116	1440	1440	NUM
fuelectenerg-3305	335	117	1470	1470	NUM
fuelectenerg-3305	335	118	3000	3000	NUM
fuelectenerg-3305	335	119	1290	1290	NUM
fuelectenerg-3305	335	120	780	780	NUM
fuelectenerg-3305	335	121	285	285	NUM
fuelectenerg-3305	335	122	0	0	NUM
fuelectenerg-3305	335	123	0	0	NUM
fuelectenerg-3305	335	124	9	9	NUM
fuelectenerg-3305	335	125	10	10	NUM
fuelectenerg-3305	335	126	0	0	NUM
fuelectenerg-3305	335	127	210	210	NUM
fuelectenerg-3305	335	128	240	240	NUM
fuelectenerg-3305	335	129	570	570	NUM
fuelectenerg-3305	335	130	180	180	NUM
fuelectenerg-3305	335	131	270	270	NUM
fuelectenerg-3305	335	132	60	60	NUM
fuelectenerg-3305	335	133	0	0	NUM
fuelectenerg-3305	335	134	0	0	NUM
fuelectenerg-3305	335	135	0	0	NUM
fuelectenerg-3305	335	136	10	10	NUM
fuelectenerg-3305	335	137	1	1	NUM
fuelectenerg-3305	335	138	0	0	NUM
fuelectenerg-3305	335	139	30	30	NUM
fuelectenerg-3305	335	140	60	60	NUM
fuelectenerg-3305	335	141	15	15	NUM
fuelectenerg-3305	335	142	12	12	NUM
fuelectenerg-3305	335	143	0	0	NUM
fuelectenerg-3305	335	144	0	0	NUM
fuelectenerg-3305	335	145	0	0	NUM
fuelectenerg-3305	335	146	0	0	NUM
fuelectenerg-3305	335	147	0	0	NUM
fuelectenerg-3305	335	148	from	from	ADP
fuelectenerg-3305	335	149	a	a	DET
fuelectenerg-3305	335	150	direct	direct	ADJ
fuelectenerg-3305	335	151	evaluation	evaluation	NOUN
fuelectenerg-3305	335	152	,	,	PUNCT
fuelectenerg-3305	335	153	the	the	DET
fuelectenerg-3305	335	154	function	function	NOUN
fuelectenerg-3305	335	155	f(x1	f(x1	NOUN
fuelectenerg-3305	335	156	,	,	PUNCT
fuelectenerg-3305	335	157	·	·	PUNCT
fuelectenerg-3305	335	158	·	·	PUNCT
fuelectenerg-3305	335	159	·	·	PUNCT
fuelectenerg-3305	335	160	,	,	PUNCT
fuelectenerg-3305	335	161	x5	x5	PROPN
fuelectenerg-3305	335	162	)	)	PUNCT
fuelectenerg-3305	335	163	has	have	VERB
fuelectenerg-3305	335	164	the	the	DET
fuelectenerg-3305	335	165	canonic	canonic	ADJ
fuelectenerg-3305	335	166	representation	representation	NOUN
fuelectenerg-3305	335	167	(	(	PUNCT
fuelectenerg-3305	335	168	8	8	NUM
fuelectenerg-3305	335	169	8	8	NUM
fuelectenerg-3305	335	170	8	8	NUM
fuelectenerg-3305	335	171	8	8	NUM
fuelectenerg-3305	335	172	8	8	NUM
fuelectenerg-3305	335	173	0	0	NUM
fuelectenerg-3305	335	174	16×	16×	NUM
fuelectenerg-3305	335	175	8	8	NUM
fuelectenerg-3305	335	176	;	;	PUNCT
fuelectenerg-3305	335	177	16×	16×	NUM
fuelectenerg-3305	335	178	0	0	NUM
fuelectenerg-3305	335	179	)	)	PUNCT
fuelectenerg-3305	335	180	,	,	PUNCT
fuelectenerg-3305	335	181	which	which	PRON
fuelectenerg-3305	335	182	means	mean	VERB
fuelectenerg-3305	335	183	that	that	SCONJ
fuelectenerg-3305	335	184	this	this	DET
fuelectenerg-3305	335	185	function	function	NOUN
fuelectenerg-3305	335	186	is	be	AUX
fuelectenerg-3305	335	187	from	from	ADP
fuelectenerg-3305	335	188	the	the	DET
fuelectenerg-3305	335	189	class	class	NOUN
fuelectenerg-3305	335	190	47	47	NUM
fuelectenerg-3305	335	191	.	.	PUNCT
fuelectenerg-3305	336	1	the	the	DET
fuelectenerg-3305	336	2	function	function	NOUN
fuelectenerg-3305	336	3	g1	g1	PROPN
fuelectenerg-3305	336	4	has	have	VERB
fuelectenerg-3305	336	5	the	the	DET
fuelectenerg-3305	336	6	canonic	canonic	ADJ
fuelectenerg-3305	336	7	representation	representation	NOUN
fuelectenerg-3305	336	8	(	(	PUNCT
fuelectenerg-3305	336	9	8	8	NUM
fuelectenerg-3305	336	10	8	8	NUM
fuelectenerg-3305	336	11	8	8	NUM
fuelectenerg-3305	336	12	8	8	NUM
fuelectenerg-3305	336	13	8	8	NUM
fuelectenerg-3305	336	14	8	8	NUM
fuelectenerg-3305	336	15	16×	16×	NUM
fuelectenerg-3305	336	16	8	8	NUM
fuelectenerg-3305	336	17	;	;	PUNCT
fuelectenerg-3305	336	18	16×	16×	NUM
fuelectenerg-3305	336	19	0	0	NUM
fuelectenerg-3305	336	20	)	)	PUNCT
fuelectenerg-3305	336	21	,	,	PUNCT
fuelectenerg-3305	336	22	and	and	CCONJ
fuelectenerg-3305	336	23	,	,	PUNCT
fuelectenerg-3305	336	24	therefore	therefore	ADV
fuelectenerg-3305	336	25	,	,	PUNCT
fuelectenerg-3305	336	26	it	it	PRON
fuelectenerg-3305	336	27	is	be	AUX
fuelectenerg-3305	336	28	from	from	ADP
fuelectenerg-3305	336	29	the	the	DET
fuelectenerg-3305	336	30	class	class	NOUN
fuelectenerg-3305	336	31	45a	45a	NOUN
fuelectenerg-3305	336	32	,	,	PUNCT
fuelectenerg-3305	336	33	while	while	SCONJ
fuelectenerg-3305	336	34	the	the	DET
fuelectenerg-3305	336	35	function	function	NOUN
fuelectenerg-3305	336	36	g2	g2	PROPN
fuelectenerg-3305	336	37	with	with	ADP
fuelectenerg-3305	336	38	the	the	DET
fuelectenerg-3305	336	39	identical	identical	ADJ
fuelectenerg-3305	336	40	canonic	canonic	ADJ
fuelectenerg-3305	336	41	representation	representation	NOUN
fuelectenerg-3305	336	42	is	be	AUX
fuelectenerg-3305	336	43	from	from	ADP
fuelectenerg-3305	336	44	the	the	DET
fuelectenerg-3305	336	45	class	class	NOUN
fuelectenerg-3305	336	46	45b	45b	NOUN
fuelectenerg-3305	336	47	.	.	PUNCT
fuelectenerg-3305	337	1	it	it	PRON
fuelectenerg-3305	337	2	is	be	AUX
fuelectenerg-3305	337	3	impossible	impossible	ADJ
fuelectenerg-3305	337	4	to	to	PART
fuelectenerg-3305	337	5	transform	transform	VERB
fuelectenerg-3305	337	6	the	the	DET
fuelectenerg-3305	337	7	function	function	NOUN
fuelectenerg-3305	337	8	f	f	PROPN
fuelectenerg-3305	337	9	into	into	ADP
fuelectenerg-3305	337	10	any	any	PRON
fuelectenerg-3305	337	11	of	of	ADP
fuelectenerg-3305	337	12	functions	function	NOUN
fuelectenerg-3305	337	13	g1	g1	NOUN
fuelectenerg-3305	337	14	or	or	CCONJ
fuelectenerg-3305	337	15	g2	g2	PROPN
fuelectenerg-3305	337	16	by	by	ADP
fuelectenerg-3305	337	17	using	use	VERB
fuelectenerg-3305	337	18	the	the	DET
fuelectenerg-3305	337	19	affine	affine	ADJ
fuelectenerg-3305	337	20	spectral	spectral	ADJ
fuelectenerg-3305	337	21	invariant	invariant	ADJ
fuelectenerg-3305	337	22	operations	operation	NOUN
fuelectenerg-3305	337	23	.	.	PUNCT
fuelectenerg-3305	338	1	the	the	DET
fuelectenerg-3305	338	2	function	function	NOUN
fuelectenerg-3305	338	3	f	f	PROPN
fuelectenerg-3305	338	4	has	have	VERB
fuelectenerg-3305	338	5	only	only	ADV
fuelectenerg-3305	338	6	quadratic	quadratic	ADJ
fuelectenerg-3305	338	7	product	product	NOUN
fuelectenerg-3305	338	8	terms	term	NOUN
fuelectenerg-3305	338	9	in	in	ADP
fuelectenerg-3305	338	10	the	the	DET
fuelectenerg-3305	338	11	polynomial	polynomial	ADJ
fuelectenerg-3305	338	12	form	form	NOUN
fuelectenerg-3305	338	13	and	and	CCONJ
fuelectenerg-3305	338	14	with	with	ADP
fuelectenerg-3305	338	15	these	these	DET
fuelectenerg-3305	338	16	operations	operation	NOUN
fuelectenerg-3305	338	17	it	it	PRON
fuelectenerg-3305	338	18	is	be	AUX
fuelectenerg-3305	338	19	impossible	impossible	ADJ
fuelectenerg-3305	338	20	to	to	PART
fuelectenerg-3305	338	21	generate	generate	VERB
fuelectenerg-3305	338	22	a	a	DET
fuelectenerg-3305	338	23	product	product	NOUN
fuelectenerg-3305	338	24	with	with	ADP
fuelectenerg-3305	338	25	a	a	DET
fuelectenerg-3305	338	26	higher	high	ADJ
fuelectenerg-3305	338	27	number	number	NOUN
fuelectenerg-3305	338	28	of	of	ADP
fuelectenerg-3305	338	29	variables	variable	NOUN
fuelectenerg-3305	338	30	,	,	PUNCT
fuelectenerg-3305	338	31	while	while	SCONJ
fuelectenerg-3305	338	32	in	in	ADP
fuelectenerg-3305	338	33	the	the	DET
fuelectenerg-3305	338	34	polynomial	polynomial	ADJ
fuelectenerg-3305	338	35	form	form	NOUN
fuelectenerg-3305	338	36	of	of	ADP
fuelectenerg-3305	338	37	the	the	DET
fuelectenerg-3305	338	38	functions	function	NOUN
fuelectenerg-3305	338	39	g1	g1	VERB
fuelectenerg-3305	338	40	and	and	CCONJ
fuelectenerg-3305	338	41	g2	g2	PROPN
fuelectenerg-3305	338	42	there	there	PRON
fuelectenerg-3305	338	43	are	be	VERB
fuelectenerg-3305	338	44	products	product	NOUN
fuelectenerg-3305	338	45	with	with	ADP
fuelectenerg-3305	338	46	three	three	NUM
fuelectenerg-3305	338	47	variables	variable	NOUN
fuelectenerg-3305	338	48	.	.	PUNCT
fuelectenerg-3305	339	1	all	all	DET
fuelectenerg-3305	339	2	these	these	DET
fuelectenerg-3305	339	3	functions	function	NOUN
fuelectenerg-3305	339	4	f	f	PROPN
fuelectenerg-3305	339	5	,	,	PUNCT
fuelectenerg-3305	339	6	g1	g1	PROPN
fuelectenerg-3305	339	7	,	,	PUNCT
fuelectenerg-3305	339	8	and	and	CCONJ
fuelectenerg-3305	339	9	g2	g2	PROPN
fuelectenerg-3305	339	10	,	,	PUNCT
fuelectenerg-3305	339	11	are	be	AUX
fuelectenerg-3305	339	12	connected	connect	VERB
fuelectenerg-3305	339	13	with	with	ADP
fuelectenerg-3305	339	14	the	the	DET
fuelectenerg-3305	339	15	new	new	ADJ
fuelectenerg-3305	339	16	invariant	invariant	ADJ
fuelectenerg-3305	339	17	operation	operation	NOUN
fuelectenerg-3305	339	18	,	,	PUNCT
fuelectenerg-3305	339	19	from	from	ADP
fuelectenerg-3305	339	20	which	which	PRON
fuelectenerg-3305	339	21	it	it	PRON
fuelectenerg-3305	339	22	follows	follow	VERB
fuelectenerg-3305	339	23	that	that	SCONJ
fuelectenerg-3305	339	24	classes	class	NOUN
fuelectenerg-3305	339	25	45a	45a	NOUN
fuelectenerg-3305	339	26	,	,	PUNCT
fuelectenerg-3305	339	27	45b	45b	NOUN
fuelectenerg-3305	339	28	,	,	PUNCT
fuelectenerg-3305	339	29	and	and	CCONJ
fuelectenerg-3305	339	30	47	47	NUM
fuelectenerg-3305	339	31	are	be	AUX
fuelectenerg-3305	339	32	subclasses	subclass	NOUN
fuelectenerg-3305	339	33	of	of	ADP
fuelectenerg-3305	339	34	a	a	DET
fuelectenerg-3305	339	35	single	single	ADJ
fuelectenerg-3305	339	36	class	class	NOUN
fuelectenerg-3305	339	37	.	.	PUNCT
fuelectenerg-3305	340	1	table	table	NOUN
fuelectenerg-3305	340	2	5	5	NUM
fuelectenerg-3305	340	3	shows	show	VERB
fuelectenerg-3305	340	4	the	the	DET
fuelectenerg-3305	340	5	number	number	NOUN
fuelectenerg-3305	340	6	of	of	ADP
fuelectenerg-3305	340	7	functions	function	NOUN
fuelectenerg-3305	340	8	from	from	ADP
fuelectenerg-3305	340	9	this	this	DET
fuelectenerg-3305	340	10	class	class	NOUN
fuelectenerg-3305	340	11	having	have	VERB
fuelectenerg-3305	340	12	exclusively	exclusively	ADV
fuelectenerg-3305	340	13	products	product	NOUN
fuelectenerg-3305	340	14	of	of	ADP
fuelectenerg-3305	340	15	two	two	NUM
fuelectenerg-3305	340	16	variables	variable	NOUN
fuelectenerg-3305	340	17	or	or	CCONJ
fuelectenerg-3305	340	18	three	three	NUM
fuelectenerg-3305	340	19	variables	variable	NOUN
fuelectenerg-3305	340	20	in	in	ADP
fuelectenerg-3305	340	21	their	their	PRON
fuelectenerg-3305	340	22	polynomial	polynomial	ADJ
fuelectenerg-3305	340	23	forms	form	NOUN
fuelectenerg-3305	340	24	and	and	CCONJ
fuelectenerg-3305	340	25	no	no	DET
fuelectenerg-3305	340	26	other	other	ADJ
fuelectenerg-3305	340	27	terms	term	NOUN
fuelectenerg-3305	340	28	.	.	PUNCT
fuelectenerg-3305	341	1	the	the	DET
fuelectenerg-3305	341	2	total	total	ADJ
fuelectenerg-3305	341	3	number	number	NOUN
fuelectenerg-3305	341	4	of	of	ADP
fuelectenerg-3305	341	5	such	such	ADJ
fuelectenerg-3305	341	6	functions	function	NOUN
fuelectenerg-3305	341	7	is	be	AUX
fuelectenerg-3305	341	8	219604	219604	NUM
fuelectenerg-3305	341	9	,	,	PUNCT
fuelectenerg-3305	341	10	and	and	CCONJ
fuelectenerg-3305	341	11	the	the	DET
fuelectenerg-3305	341	12	total	total	ADJ
fuelectenerg-3305	341	13	number	number	NOUN
fuelectenerg-3305	341	14	of	of	ADP
fuelectenerg-3305	341	15	all	all	DET
fuelectenerg-3305	341	16	functions	function	NOUN
fuelectenerg-3305	341	17	in	in	ADP
fuelectenerg-3305	341	18	that	that	DET
fuelectenerg-3305	341	19	class	class	NOUN
fuelectenerg-3305	341	20	,	,	PUNCT
fuelectenerg-3305	341	21	including	include	VERB
fuelectenerg-3305	341	22	linear	linear	PROPN
fuelectenerg-3305	341	23	terms	term	NOUN
fuelectenerg-3305	341	24	in	in	ADP
fuelectenerg-3305	341	25	the	the	DET
fuelectenerg-3305	341	26	polynomial	polynomial	ADJ
fuelectenerg-3305	341	27	forms	form	NOUN
fuelectenerg-3305	341	28	,	,	PUNCT
fuelectenerg-3305	341	29	is	be	AUX
fuelectenerg-3305	341	30	219604×	219604×	NUM
fuelectenerg-3305	341	31	32	32	NUM
fuelectenerg-3305	341	32	=	=	SYM
fuelectenerg-3305	341	33	7027328	7027328	NUM
fuelectenerg-3305	341	34	.	.	PUNCT
fuelectenerg-3305	342	1	in	in	ADP
fuelectenerg-3305	342	2	the	the	DET
fuelectenerg-3305	342	3	column	column	NOUN
fuelectenerg-3305	342	4	denoted	denote	VERB
fuelectenerg-3305	342	5	by	by	ADP
fuelectenerg-3305	342	6	0	0	NUM
fuelectenerg-3305	342	7	,	,	PUNCT
fuelectenerg-3305	342	8	the	the	DET
fuelectenerg-3305	342	9	number	number	NOUN
fuelectenerg-3305	342	10	of	of	ADP
fuelectenerg-3305	342	11	functions	function	NOUN
fuelectenerg-3305	342	12	with	with	ADP
fuelectenerg-3305	342	13	quadratic	quadratic	ADJ
fuelectenerg-3305	342	14	polynomial	polynomial	ADJ
fuelectenerg-3305	342	15	forms	form	NOUN
fuelectenerg-3305	342	16	is	be	AUX
fuelectenerg-3305	342	17	shown	show	VERB
fuelectenerg-3305	342	18	.	.	PUNCT
fuelectenerg-3305	343	1	for	for	ADP
fuelectenerg-3305	343	2	example	example	NOUN
fuelectenerg-3305	343	3	,	,	PUNCT
fuelectenerg-3305	343	4	there	there	PRON
fuelectenerg-3305	343	5	are	be	VERB
fuelectenerg-3305	343	6	115	115	NUM
fuelectenerg-3305	343	7	functions	function	NOUN
fuelectenerg-3305	343	8	in	in	ADP
fuelectenerg-3305	343	9	this	this	DET
fuelectenerg-3305	343	10	class	class	NOUN
fuelectenerg-3305	343	11	with	with	ADP
fuelectenerg-3305	343	12	two	two	NUM
fuelectenerg-3305	343	13	products	product	NOUN
fuelectenerg-3305	343	14	in	in	ADP
fuelectenerg-3305	343	15	the	the	DET
fuelectenerg-3305	343	16	polynomial	polynomial	ADJ
fuelectenerg-3305	343	17	forms	form	NOUN
fuelectenerg-3305	343	18	,	,	PUNCT
fuelectenerg-3305	343	19	while	while	SCONJ
fuelectenerg-3305	343	20	the	the	DET
fuelectenerg-3305	343	21	number	number	NOUN
fuelectenerg-3305	343	22	of	of	ADP
fuelectenerg-3305	343	23	functions	function	NOUN
fuelectenerg-3305	343	24	with	with	ADP
fuelectenerg-3305	343	25	five	five	NUM
fuelectenerg-3305	343	26	products	product	NOUN
fuelectenerg-3305	343	27	of	of	ADP
fuelectenerg-3305	343	28	200	200	NUM
fuelectenerg-3305	343	29	m.	m.	NOUN
fuelectenerg-3305	343	30	stanković	stanković	NOUN
fuelectenerg-3305	343	31	,	,	PUNCT
fuelectenerg-3305	343	32	c.	c.	PROPN
fuelectenerg-3305	343	33	moraga	moraga	PROPN
fuelectenerg-3305	343	34	,	,	PUNCT
fuelectenerg-3305	343	35	r.	r.	PROPN
fuelectenerg-3305	343	36	s.	s.	PROPN
fuelectenerg-3305	343	37	stanković	stanković	PROPN
fuelectenerg-3305	343	38	an	an	DET
fuelectenerg-3305	343	39	improved	improved	ADJ
fuelectenerg-3305	343	40	spectral	spectral	ADJ
fuelectenerg-3305	343	41	classification	classification	NOUN
fuelectenerg-3305	343	42	of	of	ADP
fuelectenerg-3305	343	43	boolean	boolean	ADJ
fuelectenerg-3305	343	44	functions	function	NOUN
fuelectenerg-3305	343	45	...	...	PUNCT
fuelectenerg-3305	343	46	201	201	NUM
fuelectenerg-3305	343	47	12	12	NUM
fuelectenerg-3305	343	48	m.	m.	NOUN
fuelectenerg-3305	343	49	stankovic	stankovic	PROPN
fuelectenerg-3305	343	50	,	,	PUNCT
fuelectenerg-3305	343	51	c.	c.	PROPN
fuelectenerg-3305	343	52	moraga	moraga	PROPN
fuelectenerg-3305	343	53	,	,	PUNCT
fuelectenerg-3305	343	54	r.	r.	PROPN
fuelectenerg-3305	343	55	s.	s.	PROPN
fuelectenerg-3305	343	56	stanković	stanković	PROPN
fuelectenerg-3305	343	57	table	table	PROPN
fuelectenerg-3305	343	58	6	6	NUM
fuelectenerg-3305	343	59	:	:	PUNCT
fuelectenerg-3305	343	60	functions	function	NOUN
fuelectenerg-3305	343	61	in	in	ADP
fuelectenerg-3305	343	62	5	5	NUM
fuelectenerg-3305	343	63	variables	variable	NOUN
fuelectenerg-3305	343	64	with	with	ADP
fuelectenerg-3305	343	65	solely	solely	ADV
fuelectenerg-3305	343	66	products	product	NOUN
fuelectenerg-3305	343	67	of	of	ADP
fuelectenerg-3305	343	68	two	two	NUM
fuelectenerg-3305	343	69	and	and	CCONJ
fuelectenerg-3305	343	70	three	three	NUM
fuelectenerg-3305	343	71	variables	variable	NOUN
fuelectenerg-3305	343	72	in	in	ADP
fuelectenerg-3305	343	73	the	the	DET
fuelectenerg-3305	343	74	polynomial	polynomial	ADJ
fuelectenerg-3305	343	75	form	form	NOUN
fuelectenerg-3305	343	76	.	.	PUNCT
fuelectenerg-3305	344	1	number	number	NOUN
fuelectenerg-3305	344	2	of	of	ADP
fuelectenerg-3305	344	3	cubes	cube	NOUN
fuelectenerg-3305	344	4	pairs	pair	NOUN
fuelectenerg-3305	344	5	0	0	NUM
fuelectenerg-3305	344	6	1	1	NUM
fuelectenerg-3305	344	7	2	2	NUM
fuelectenerg-3305	344	8	3	3	NUM
fuelectenerg-3305	344	9	4	4	NUM
fuelectenerg-3305	344	10	5	5	NUM
fuelectenerg-3305	344	11	6	6	NUM
fuelectenerg-3305	344	12	7	7	NUM
fuelectenerg-3305	344	13	8	8	NUM
fuelectenerg-3305	344	14	9	9	NUM
fuelectenerg-3305	344	15	10	10	NUM
fuelectenerg-3305	344	16	0	0	NUM
fuelectenerg-3305	344	17	0	0	NUM
fuelectenerg-3305	344	18	0	0	NUM
fuelectenerg-3305	344	19	0	0	NUM
fuelectenerg-3305	344	20	0	0	NUM
fuelectenerg-3305	344	21	0	0	NUM
fuelectenerg-3305	344	22	0	0	NUM
fuelectenerg-3305	344	23	0	0	NUM
fuelectenerg-3305	344	24	0	0	NUM
fuelectenerg-3305	344	25	5	5	NUM
fuelectenerg-3305	344	26	0	0	NUM
fuelectenerg-3305	344	27	0	0	NUM
fuelectenerg-3305	344	28	1	1	NUM
fuelectenerg-3305	344	29	0	0	NUM
fuelectenerg-3305	344	30	0	0	NUM
fuelectenerg-3305	344	31	0	0	NUM
fuelectenerg-3305	344	32	0	0	NUM
fuelectenerg-3305	344	33	0	0	NUM
fuelectenerg-3305	344	34	60	60	NUM
fuelectenerg-3305	344	35	120	120	NUM
fuelectenerg-3305	344	36	180	180	NUM
fuelectenerg-3305	344	37	150	150	NUM
fuelectenerg-3305	344	38	0	0	NUM
fuelectenerg-3305	344	39	0	0	NUM
fuelectenerg-3305	344	40	2	2	NUM
fuelectenerg-3305	344	41	115	115	NUM
fuelectenerg-3305	344	42	60	60	NUM
fuelectenerg-3305	344	43	180	180	NUM
fuelectenerg-3305	344	44	360	360	NUM
fuelectenerg-3305	344	45	615	615	NUM
fuelectenerg-3305	344	46	1320	1320	NUM
fuelectenerg-3305	344	47	1170	1170	NUM
fuelectenerg-3305	344	48	900	900	NUM
fuelectenerg-3305	344	49	300	300	NUM
fuelectenerg-3305	344	50	120	120	NUM
fuelectenerg-3305	344	51	0	0	NUM
fuelectenerg-3305	344	52	3	3	NUM
fuelectenerg-3305	344	53	90	90	NUM
fuelectenerg-3305	344	54	360	360	NUM
fuelectenerg-3305	344	55	990	990	NUM
fuelectenerg-3305	344	56	1860	1860	NUM
fuelectenerg-3305	344	57	3990	3990	NUM
fuelectenerg-3305	344	58	4980	4980	NUM
fuelectenerg-3305	344	59	4470	4470	NUM
fuelectenerg-3305	344	60	2520	2520	NUM
fuelectenerg-3305	344	61	1110	1110	NUM
fuelectenerg-3305	344	62	120	120	NUM
fuelectenerg-3305	344	63	60	60	NUM
fuelectenerg-3305	344	64	4	4	NUM
fuelectenerg-3305	344	65	190	190	NUM
fuelectenerg-3305	344	66	840	840	NUM
fuelectenerg-3305	344	67	2250	2250	NUM
fuelectenerg-3305	344	68	4740	4740	NUM
fuelectenerg-3305	344	69	8490	8490	NUM
fuelectenerg-3305	344	70	11700	11700	NUM
fuelectenerg-3305	344	71	9630	9630	NUM
fuelectenerg-3305	344	72	4800	4800	NUM
fuelectenerg-3305	344	73	2340	2340	NUM
fuelectenerg-3305	344	74	480	480	NUM
fuelectenerg-3305	344	75	0	0	NUM
fuelectenerg-3305	344	76	5	5	NUM
fuelectenerg-3305	344	77	222	222	NUM
fuelectenerg-3305	344	78	1020	1020	NUM
fuelectenerg-3305	344	79	3270	3270	NUM
fuelectenerg-3305	344	80	7980	7980	NUM
fuelectenerg-3305	344	81	11310	11310	NUM
fuelectenerg-3305	344	82	15012	15012	NUM
fuelectenerg-3305	344	83	10290	10290	NUM
fuelectenerg-3305	344	84	6900	6900	NUM
fuelectenerg-3305	344	85	2730	2730	NUM
fuelectenerg-3305	344	86	480	480	NUM
fuelectenerg-3305	344	87	72	72	NUM
fuelectenerg-3305	344	88	6	6	NUM
fuelectenerg-3305	344	89	200	200	NUM
fuelectenerg-3305	344	90	720	720	NUM
fuelectenerg-3305	344	91	3390	3390	NUM
fuelectenerg-3305	344	92	7080	7080	NUM
fuelectenerg-3305	344	93	11130	11130	NUM
fuelectenerg-3305	344	94	10320	10320	NUM
fuelectenerg-3305	344	95	9270	9270	NUM
fuelectenerg-3305	344	96	5760	5760	NUM
fuelectenerg-3305	344	97	2460	2460	NUM
fuelectenerg-3305	344	98	360	360	NUM
fuelectenerg-3305	344	99	0	0	NUM
fuelectenerg-3305	344	100	7	7	NUM
fuelectenerg-3305	344	101	110	110	NUM
fuelectenerg-3305	344	102	300	300	NUM
fuelectenerg-3305	344	103	2010	2010	NUM
fuelectenerg-3305	344	104	3600	3600	NUM
fuelectenerg-3305	344	105	5610	5610	NUM
fuelectenerg-3305	344	106	6120	6120	NUM
fuelectenerg-3305	344	107	5250	5250	NUM
fuelectenerg-3305	344	108	2580	2580	NUM
fuelectenerg-3305	344	109	1410	1410	NUM
fuelectenerg-3305	344	110	360	360	NUM
fuelectenerg-3305	344	111	60	60	NUM
fuelectenerg-3305	344	112	8	8	NUM
fuelectenerg-3305	344	113	30	30	NUM
fuelectenerg-3305	344	114	60	60	NUM
fuelectenerg-3305	344	115	630	630	NUM
fuelectenerg-3305	344	116	1440	1440	NUM
fuelectenerg-3305	344	117	1470	1470	NUM
fuelectenerg-3305	344	118	3000	3000	NUM
fuelectenerg-3305	344	119	1290	1290	NUM
fuelectenerg-3305	344	120	780	780	NUM
fuelectenerg-3305	344	121	285	285	NUM
fuelectenerg-3305	344	122	0	0	NUM
fuelectenerg-3305	344	123	0	0	NUM
fuelectenerg-3305	344	124	9	9	NUM
fuelectenerg-3305	344	125	10	10	NUM
fuelectenerg-3305	344	126	0	0	NUM
fuelectenerg-3305	344	127	210	210	NUM
fuelectenerg-3305	344	128	240	240	NUM
fuelectenerg-3305	344	129	570	570	NUM
fuelectenerg-3305	344	130	180	180	NUM
fuelectenerg-3305	344	131	270	270	NUM
fuelectenerg-3305	344	132	60	60	NUM
fuelectenerg-3305	344	133	0	0	NUM
fuelectenerg-3305	344	134	0	0	NUM
fuelectenerg-3305	344	135	0	0	NUM
fuelectenerg-3305	344	136	10	10	NUM
fuelectenerg-3305	344	137	1	1	NUM
fuelectenerg-3305	344	138	0	0	NUM
fuelectenerg-3305	344	139	30	30	NUM
fuelectenerg-3305	344	140	60	60	NUM
fuelectenerg-3305	344	141	15	15	NUM
fuelectenerg-3305	344	142	12	12	NUM
fuelectenerg-3305	344	143	0	0	NUM
fuelectenerg-3305	344	144	0	0	NUM
fuelectenerg-3305	344	145	0	0	NUM
fuelectenerg-3305	344	146	0	0	NUM
fuelectenerg-3305	344	147	0	0	NUM
fuelectenerg-3305	344	148	from	from	ADP
fuelectenerg-3305	344	149	a	a	DET
fuelectenerg-3305	344	150	direct	direct	ADJ
fuelectenerg-3305	344	151	evaluation	evaluation	NOUN
fuelectenerg-3305	344	152	,	,	PUNCT
fuelectenerg-3305	344	153	the	the	DET
fuelectenerg-3305	344	154	function	function	NOUN
fuelectenerg-3305	344	155	f(x1	f(x1	NOUN
fuelectenerg-3305	344	156	,	,	PUNCT
fuelectenerg-3305	344	157	·	·	PUNCT
fuelectenerg-3305	344	158	·	·	PUNCT
fuelectenerg-3305	344	159	·	·	PUNCT
fuelectenerg-3305	344	160	,	,	PUNCT
fuelectenerg-3305	344	161	x5	x5	PROPN
fuelectenerg-3305	344	162	)	)	PUNCT
fuelectenerg-3305	344	163	has	have	VERB
fuelectenerg-3305	344	164	the	the	DET
fuelectenerg-3305	344	165	canonic	canonic	ADJ
fuelectenerg-3305	344	166	representation	representation	NOUN
fuelectenerg-3305	344	167	(	(	PUNCT
fuelectenerg-3305	344	168	8	8	NUM
fuelectenerg-3305	344	169	8	8	NUM
fuelectenerg-3305	344	170	8	8	NUM
fuelectenerg-3305	344	171	8	8	NUM
fuelectenerg-3305	344	172	8	8	NUM
fuelectenerg-3305	344	173	0	0	NUM
fuelectenerg-3305	344	174	16×	16×	NUM
fuelectenerg-3305	344	175	8	8	NUM
fuelectenerg-3305	344	176	;	;	PUNCT
fuelectenerg-3305	344	177	16×	16×	NUM
fuelectenerg-3305	344	178	0	0	NUM
fuelectenerg-3305	344	179	)	)	PUNCT
fuelectenerg-3305	344	180	,	,	PUNCT
fuelectenerg-3305	344	181	which	which	PRON
fuelectenerg-3305	344	182	means	mean	VERB
fuelectenerg-3305	344	183	that	that	SCONJ
fuelectenerg-3305	344	184	this	this	DET
fuelectenerg-3305	344	185	function	function	NOUN
fuelectenerg-3305	344	186	is	be	AUX
fuelectenerg-3305	344	187	from	from	ADP
fuelectenerg-3305	344	188	the	the	DET
fuelectenerg-3305	344	189	class	class	NOUN
fuelectenerg-3305	344	190	47	47	NUM
fuelectenerg-3305	344	191	.	.	PUNCT
fuelectenerg-3305	345	1	the	the	DET
fuelectenerg-3305	345	2	function	function	NOUN
fuelectenerg-3305	345	3	g1	g1	PROPN
fuelectenerg-3305	345	4	has	have	VERB
fuelectenerg-3305	345	5	the	the	DET
fuelectenerg-3305	345	6	canonic	canonic	ADJ
fuelectenerg-3305	345	7	representation	representation	NOUN
fuelectenerg-3305	345	8	(	(	PUNCT
fuelectenerg-3305	345	9	8	8	NUM
fuelectenerg-3305	345	10	8	8	NUM
fuelectenerg-3305	345	11	8	8	NUM
fuelectenerg-3305	345	12	8	8	NUM
fuelectenerg-3305	345	13	8	8	NUM
fuelectenerg-3305	345	14	8	8	NUM
fuelectenerg-3305	345	15	16×	16×	NUM
fuelectenerg-3305	345	16	8	8	NUM
fuelectenerg-3305	345	17	;	;	PUNCT
fuelectenerg-3305	345	18	16×	16×	NUM
fuelectenerg-3305	345	19	0	0	NUM
fuelectenerg-3305	345	20	)	)	PUNCT
fuelectenerg-3305	345	21	,	,	PUNCT
fuelectenerg-3305	345	22	and	and	CCONJ
fuelectenerg-3305	345	23	,	,	PUNCT
fuelectenerg-3305	345	24	therefore	therefore	ADV
fuelectenerg-3305	345	25	,	,	PUNCT
fuelectenerg-3305	345	26	it	it	PRON
fuelectenerg-3305	345	27	is	be	AUX
fuelectenerg-3305	345	28	from	from	ADP
fuelectenerg-3305	345	29	the	the	DET
fuelectenerg-3305	345	30	class	class	NOUN
fuelectenerg-3305	345	31	45a	45a	NOUN
fuelectenerg-3305	345	32	,	,	PUNCT
fuelectenerg-3305	345	33	while	while	SCONJ
fuelectenerg-3305	345	34	the	the	DET
fuelectenerg-3305	345	35	function	function	NOUN
fuelectenerg-3305	345	36	g2	g2	PROPN
fuelectenerg-3305	345	37	with	with	ADP
fuelectenerg-3305	345	38	the	the	DET
fuelectenerg-3305	345	39	identical	identical	ADJ
fuelectenerg-3305	345	40	canonic	canonic	ADJ
fuelectenerg-3305	345	41	representation	representation	NOUN
fuelectenerg-3305	345	42	is	be	AUX
fuelectenerg-3305	345	43	from	from	ADP
fuelectenerg-3305	345	44	the	the	DET
fuelectenerg-3305	345	45	class	class	NOUN
fuelectenerg-3305	345	46	45b	45b	NOUN
fuelectenerg-3305	345	47	.	.	PUNCT
fuelectenerg-3305	346	1	it	it	PRON
fuelectenerg-3305	346	2	is	be	AUX
fuelectenerg-3305	346	3	impossible	impossible	ADJ
fuelectenerg-3305	346	4	to	to	PART
fuelectenerg-3305	346	5	transform	transform	VERB
fuelectenerg-3305	346	6	the	the	DET
fuelectenerg-3305	346	7	function	function	NOUN
fuelectenerg-3305	346	8	f	f	PROPN
fuelectenerg-3305	346	9	into	into	ADP
fuelectenerg-3305	346	10	any	any	PRON
fuelectenerg-3305	346	11	of	of	ADP
fuelectenerg-3305	346	12	functions	function	NOUN
fuelectenerg-3305	346	13	g1	g1	NOUN
fuelectenerg-3305	346	14	or	or	CCONJ
fuelectenerg-3305	346	15	g2	g2	PROPN
fuelectenerg-3305	346	16	by	by	ADP
fuelectenerg-3305	346	17	using	use	VERB
fuelectenerg-3305	346	18	the	the	DET
fuelectenerg-3305	346	19	affine	affine	ADJ
fuelectenerg-3305	346	20	spectral	spectral	ADJ
fuelectenerg-3305	346	21	invariant	invariant	ADJ
fuelectenerg-3305	346	22	operations	operation	NOUN
fuelectenerg-3305	346	23	.	.	PUNCT
fuelectenerg-3305	347	1	the	the	DET
fuelectenerg-3305	347	2	function	function	NOUN
fuelectenerg-3305	347	3	f	f	PROPN
fuelectenerg-3305	347	4	has	have	VERB
fuelectenerg-3305	347	5	only	only	ADV
fuelectenerg-3305	347	6	quadratic	quadratic	ADJ
fuelectenerg-3305	347	7	product	product	NOUN
fuelectenerg-3305	347	8	terms	term	NOUN
fuelectenerg-3305	347	9	in	in	ADP
fuelectenerg-3305	347	10	the	the	DET
fuelectenerg-3305	347	11	polynomial	polynomial	ADJ
fuelectenerg-3305	347	12	form	form	NOUN
fuelectenerg-3305	347	13	and	and	CCONJ
fuelectenerg-3305	347	14	with	with	ADP
fuelectenerg-3305	347	15	these	these	DET
fuelectenerg-3305	347	16	operations	operation	NOUN
fuelectenerg-3305	347	17	it	it	PRON
fuelectenerg-3305	347	18	is	be	AUX
fuelectenerg-3305	347	19	impossible	impossible	ADJ
fuelectenerg-3305	347	20	to	to	PART
fuelectenerg-3305	347	21	generate	generate	VERB
fuelectenerg-3305	347	22	a	a	DET
fuelectenerg-3305	347	23	product	product	NOUN
fuelectenerg-3305	347	24	with	with	ADP
fuelectenerg-3305	347	25	a	a	DET
fuelectenerg-3305	347	26	higher	high	ADJ
fuelectenerg-3305	347	27	number	number	NOUN
fuelectenerg-3305	347	28	of	of	ADP
fuelectenerg-3305	347	29	variables	variable	NOUN
fuelectenerg-3305	347	30	,	,	PUNCT
fuelectenerg-3305	347	31	while	while	SCONJ
fuelectenerg-3305	347	32	in	in	ADP
fuelectenerg-3305	347	33	the	the	DET
fuelectenerg-3305	347	34	polynomial	polynomial	ADJ
fuelectenerg-3305	347	35	form	form	NOUN
fuelectenerg-3305	347	36	of	of	ADP
fuelectenerg-3305	347	37	the	the	DET
fuelectenerg-3305	347	38	functions	function	NOUN
fuelectenerg-3305	347	39	g1	g1	VERB
fuelectenerg-3305	347	40	and	and	CCONJ
fuelectenerg-3305	347	41	g2	g2	PROPN
fuelectenerg-3305	347	42	there	there	PRON
fuelectenerg-3305	347	43	are	be	VERB
fuelectenerg-3305	347	44	products	product	NOUN
fuelectenerg-3305	347	45	with	with	ADP
fuelectenerg-3305	347	46	three	three	NUM
fuelectenerg-3305	347	47	variables	variable	NOUN
fuelectenerg-3305	347	48	.	.	PUNCT
fuelectenerg-3305	348	1	all	all	DET
fuelectenerg-3305	348	2	these	these	DET
fuelectenerg-3305	348	3	functions	function	NOUN
fuelectenerg-3305	348	4	f	f	PROPN
fuelectenerg-3305	348	5	,	,	PUNCT
fuelectenerg-3305	348	6	g1	g1	PROPN
fuelectenerg-3305	348	7	,	,	PUNCT
fuelectenerg-3305	348	8	and	and	CCONJ
fuelectenerg-3305	348	9	g2	g2	PROPN
fuelectenerg-3305	348	10	,	,	PUNCT
fuelectenerg-3305	348	11	are	be	AUX
fuelectenerg-3305	348	12	connected	connect	VERB
fuelectenerg-3305	348	13	with	with	ADP
fuelectenerg-3305	348	14	the	the	DET
fuelectenerg-3305	348	15	new	new	ADJ
fuelectenerg-3305	348	16	invariant	invariant	ADJ
fuelectenerg-3305	348	17	operation	operation	NOUN
fuelectenerg-3305	348	18	,	,	PUNCT
fuelectenerg-3305	348	19	from	from	ADP
fuelectenerg-3305	348	20	which	which	PRON
fuelectenerg-3305	348	21	it	it	PRON
fuelectenerg-3305	348	22	follows	follow	VERB
fuelectenerg-3305	348	23	that	that	SCONJ
fuelectenerg-3305	348	24	classes	class	NOUN
fuelectenerg-3305	348	25	45a	45a	NOUN
fuelectenerg-3305	348	26	,	,	PUNCT
fuelectenerg-3305	348	27	45b	45b	NOUN
fuelectenerg-3305	348	28	,	,	PUNCT
fuelectenerg-3305	348	29	and	and	CCONJ
fuelectenerg-3305	348	30	47	47	NUM
fuelectenerg-3305	348	31	are	be	AUX
fuelectenerg-3305	348	32	subclasses	subclass	NOUN
fuelectenerg-3305	348	33	of	of	ADP
fuelectenerg-3305	348	34	a	a	DET
fuelectenerg-3305	348	35	single	single	ADJ
fuelectenerg-3305	348	36	class	class	NOUN
fuelectenerg-3305	348	37	.	.	PUNCT
fuelectenerg-3305	349	1	table	table	NOUN
fuelectenerg-3305	349	2	5	5	NUM
fuelectenerg-3305	349	3	shows	show	VERB
fuelectenerg-3305	349	4	the	the	DET
fuelectenerg-3305	349	5	number	number	NOUN
fuelectenerg-3305	349	6	of	of	ADP
fuelectenerg-3305	349	7	functions	function	NOUN
fuelectenerg-3305	349	8	from	from	ADP
fuelectenerg-3305	349	9	this	this	DET
fuelectenerg-3305	349	10	class	class	NOUN
fuelectenerg-3305	349	11	having	have	VERB
fuelectenerg-3305	349	12	exclusively	exclusively	ADV
fuelectenerg-3305	349	13	products	product	NOUN
fuelectenerg-3305	349	14	of	of	ADP
fuelectenerg-3305	349	15	two	two	NUM
fuelectenerg-3305	349	16	variables	variable	NOUN
fuelectenerg-3305	349	17	or	or	CCONJ
fuelectenerg-3305	349	18	three	three	NUM
fuelectenerg-3305	349	19	variables	variable	NOUN
fuelectenerg-3305	349	20	in	in	ADP
fuelectenerg-3305	349	21	their	their	PRON
fuelectenerg-3305	349	22	polynomial	polynomial	ADJ
fuelectenerg-3305	349	23	forms	form	NOUN
fuelectenerg-3305	349	24	and	and	CCONJ
fuelectenerg-3305	349	25	no	no	DET
fuelectenerg-3305	349	26	other	other	ADJ
fuelectenerg-3305	349	27	terms	term	NOUN
fuelectenerg-3305	349	28	.	.	PUNCT
fuelectenerg-3305	350	1	the	the	DET
fuelectenerg-3305	350	2	total	total	ADJ
fuelectenerg-3305	350	3	number	number	NOUN
fuelectenerg-3305	350	4	of	of	ADP
fuelectenerg-3305	350	5	such	such	ADJ
fuelectenerg-3305	350	6	functions	function	NOUN
fuelectenerg-3305	350	7	is	be	AUX
fuelectenerg-3305	350	8	219604	219604	NUM
fuelectenerg-3305	350	9	,	,	PUNCT
fuelectenerg-3305	350	10	and	and	CCONJ
fuelectenerg-3305	350	11	the	the	DET
fuelectenerg-3305	350	12	total	total	ADJ
fuelectenerg-3305	350	13	number	number	NOUN
fuelectenerg-3305	350	14	of	of	ADP
fuelectenerg-3305	350	15	all	all	DET
fuelectenerg-3305	350	16	functions	function	NOUN
fuelectenerg-3305	350	17	in	in	ADP
fuelectenerg-3305	350	18	that	that	DET
fuelectenerg-3305	350	19	class	class	NOUN
fuelectenerg-3305	350	20	,	,	PUNCT
fuelectenerg-3305	350	21	including	include	VERB
fuelectenerg-3305	350	22	linear	linear	PROPN
fuelectenerg-3305	350	23	terms	term	NOUN
fuelectenerg-3305	350	24	in	in	ADP
fuelectenerg-3305	350	25	the	the	DET
fuelectenerg-3305	350	26	polynomial	polynomial	ADJ
fuelectenerg-3305	350	27	forms	form	NOUN
fuelectenerg-3305	350	28	,	,	PUNCT
fuelectenerg-3305	350	29	is	be	AUX
fuelectenerg-3305	350	30	219604×	219604×	NUM
fuelectenerg-3305	350	31	32	32	NUM
fuelectenerg-3305	350	32	=	=	SYM
fuelectenerg-3305	350	33	7027328	7027328	NUM
fuelectenerg-3305	350	34	.	.	PUNCT
fuelectenerg-3305	351	1	in	in	ADP
fuelectenerg-3305	351	2	the	the	DET
fuelectenerg-3305	351	3	column	column	NOUN
fuelectenerg-3305	351	4	denoted	denote	VERB
fuelectenerg-3305	351	5	by	by	ADP
fuelectenerg-3305	351	6	0	0	NUM
fuelectenerg-3305	351	7	,	,	PUNCT
fuelectenerg-3305	351	8	the	the	DET
fuelectenerg-3305	351	9	number	number	NOUN
fuelectenerg-3305	351	10	of	of	ADP
fuelectenerg-3305	351	11	functions	function	NOUN
fuelectenerg-3305	351	12	with	with	ADP
fuelectenerg-3305	351	13	quadratic	quadratic	ADJ
fuelectenerg-3305	351	14	polynomial	polynomial	ADJ
fuelectenerg-3305	351	15	forms	form	NOUN
fuelectenerg-3305	351	16	is	be	AUX
fuelectenerg-3305	351	17	shown	show	VERB
fuelectenerg-3305	351	18	.	.	PUNCT
fuelectenerg-3305	352	1	for	for	ADP
fuelectenerg-3305	352	2	example	example	NOUN
fuelectenerg-3305	352	3	,	,	PUNCT
fuelectenerg-3305	352	4	there	there	PRON
fuelectenerg-3305	352	5	are	be	VERB
fuelectenerg-3305	352	6	115	115	NUM
fuelectenerg-3305	352	7	functions	function	NOUN
fuelectenerg-3305	352	8	in	in	ADP
fuelectenerg-3305	352	9	this	this	DET
fuelectenerg-3305	352	10	class	class	NOUN
fuelectenerg-3305	352	11	with	with	ADP
fuelectenerg-3305	352	12	two	two	NUM
fuelectenerg-3305	352	13	products	product	NOUN
fuelectenerg-3305	352	14	in	in	ADP
fuelectenerg-3305	352	15	the	the	DET
fuelectenerg-3305	352	16	polynomial	polynomial	ADJ
fuelectenerg-3305	352	17	forms	form	NOUN
fuelectenerg-3305	352	18	,	,	PUNCT
fuelectenerg-3305	352	19	while	while	SCONJ
fuelectenerg-3305	352	20	the	the	DET
fuelectenerg-3305	352	21	number	number	NOUN
fuelectenerg-3305	352	22	of	of	ADP
fuelectenerg-3305	352	23	functions	function	NOUN
fuelectenerg-3305	352	24	with	with	ADP
fuelectenerg-3305	352	25	five	five	NUM
fuelectenerg-3305	352	26	products	product	NOUN
fuelectenerg-3305	352	27	of	of	ADP
fuelectenerg-3305	352	28	an	an	DET
fuelectenerg-3305	352	29	improved	improved	ADJ
fuelectenerg-3305	352	30	spectral	spectral	ADJ
fuelectenerg-3305	352	31	classification	classification	NOUN
fuelectenerg-3305	352	32	of	of	ADP
fuelectenerg-3305	352	33	boolean	boolean	ADJ
fuelectenerg-3305	352	34	functions	function	NOUN
fuelectenerg-3305	352	35	...	...	PUNCT
fuelectenerg-3305	352	36	13	13	NUM
fuelectenerg-3305	352	37	table	table	NOUN
fuelectenerg-3305	352	38	7	7	NUM
fuelectenerg-3305	352	39	:	:	PUNCT
fuelectenerg-3305	352	40	parallels	parallel	VERB
fuelectenerg-3305	352	41	in	in	ADP
fuelectenerg-3305	352	42	notation	notation	NOUN
fuelectenerg-3305	352	43	of	of	ADP
fuelectenerg-3305	352	44	the	the	DET
fuelectenerg-3305	352	45	classes	class	NOUN
fuelectenerg-3305	352	46	by	by	ADP
fuelectenerg-3305	352	47	hurst	hurst	PROPN
fuelectenerg-3305	352	48	and	and	CCONJ
fuelectenerg-3305	352	49	lechner	lechner	PROPN
fuelectenerg-3305	352	50	.	.	PUNCT
fuelectenerg-3305	353	1	hurst	hurst	PROPN
fuelectenerg-3305	353	2	classes	classes	PROPN
fuelectenerg-3305	353	3	lechner	lechner	PROPN
fuelectenerg-3305	353	4	classes	class	NOUN
fuelectenerg-3305	353	5	new	new	ADJ
fuelectenerg-3305	353	6	class	class	NOUN
fuelectenerg-3305	353	7	functions	function	NOUN
fuelectenerg-3305	353	8	31	31	NUM
fuelectenerg-3305	353	9	,	,	PUNCT
fuelectenerg-3305	353	10	32	32	NUM
fuelectenerg-3305	353	11	classes	class	NOUN
fuelectenerg-3305	353	12	30a	30a	NOUN
fuelectenerg-3305	353	13	,	,	PUNCT
fuelectenerg-3305	353	14	30b	30b	NUM
fuelectenerg-3305	353	15	30	30	NUM
fuelectenerg-3305	353	16	functions	function	NOUN
fuelectenerg-3305	353	17	33	33	NUM
fuelectenerg-3305	353	18	,	,	PUNCT
fuelectenerg-3305	353	19	35	35	NUM
fuelectenerg-3305	353	20	classes	class	NOUN
fuelectenerg-3305	353	21	32a	32a	NOUN
fuelectenerg-3305	353	22	,	,	PUNCT
fuelectenerg-3305	353	23	32b	32b	NOUN
fuelectenerg-3305	353	24	32	32	NUM
fuelectenerg-3305	353	25	functions	function	NOUN
fuelectenerg-3305	353	26	34	34	NUM
fuelectenerg-3305	353	27	,	,	PUNCT
fuelectenerg-3305	353	28	37	37	NUM
fuelectenerg-3305	353	29	classes	class	NOUN
fuelectenerg-3305	353	30	33a	33a	NUM
fuelectenerg-3305	353	31	,	,	PUNCT
fuelectenerg-3305	353	32	33b	33b	NUM
fuelectenerg-3305	353	33	33	33	NUM
fuelectenerg-3305	353	34	functions	function	NOUN
fuelectenerg-3305	353	35	38	38	NUM
fuelectenerg-3305	353	36	,	,	PUNCT
fuelectenerg-3305	353	37	39	39	NUM
fuelectenerg-3305	353	38	classes	class	NOUN
fuelectenerg-3305	353	39	35a	35a	NOUN
fuelectenerg-3305	353	40	,	,	PUNCT
fuelectenerg-3305	353	41	35b	35b	NOUN
fuelectenerg-3305	353	42	35	35	NUM
fuelectenerg-3305	353	43	functions	function	NOUN
fuelectenerg-3305	353	44	41	41	NUM
fuelectenerg-3305	353	45	,	,	PUNCT
fuelectenerg-3305	353	46	42	42	NUM
fuelectenerg-3305	353	47	,	,	PUNCT
fuelectenerg-3305	353	48	43	43	NUM
fuelectenerg-3305	353	49	classes	class	NOUN
fuelectenerg-3305	353	50	37a	37a	NOUN
fuelectenerg-3305	353	51	,	,	PUNCT
fuelectenerg-3305	353	52	37b	37b	NOUN
fuelectenerg-3305	353	53	37	37	NUM
fuelectenerg-3305	353	54	functions	function	NOUN
fuelectenerg-3305	353	55	45a	45a	NOUN
fuelectenerg-3305	353	56	,	,	PUNCT
fuelectenerg-3305	353	57	45b	45b	NOUN
fuelectenerg-3305	353	58	,	,	PUNCT
fuelectenerg-3305	353	59	47	47	NUM
fuelectenerg-3305	353	60	classes	class	NOUN
fuelectenerg-3305	353	61	39a	39a	NOUN
fuelectenerg-3305	353	62	,	,	PUNCT
fuelectenerg-3305	353	63	39b	39b	NOUN
fuelectenerg-3305	353	64	39	39	NUM
fuelectenerg-3305	353	65	table	table	NOUN
fuelectenerg-3305	353	66	8	8	NUM
fuelectenerg-3305	353	67	:	:	PUNCT
fuelectenerg-3305	353	68	basic	basic	ADJ
fuelectenerg-3305	353	69	functions	function	NOUN
fuelectenerg-3305	353	70	for	for	ADP
fuelectenerg-3305	353	71	the	the	DET
fuelectenerg-3305	353	72	new	new	ADJ
fuelectenerg-3305	353	73	classes	class	NOUN
fuelectenerg-3305	353	74	.	.	PUNCT
fuelectenerg-3305	354	1	new	new	ADJ
fuelectenerg-3305	354	2	class	class	NOUN
fuelectenerg-3305	354	3	basic	basic	ADJ
fuelectenerg-3305	354	4	function	function	NOUN
fuelectenerg-3305	354	5	30	30	NUM
fuelectenerg-3305	354	6	x1x2	x1x2	PUNCT
fuelectenerg-3305	354	7	⊕	⊕	PROPN
fuelectenerg-3305	354	8	x3x4	x3x4	PROPN
fuelectenerg-3305	354	9	⊕	⊕	PROPN
fuelectenerg-3305	354	10	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	354	11	⊕	⊕	PROPN
fuelectenerg-3305	354	12	x1x2x3x4x5	x1x2x3x4x5	PROPN
fuelectenerg-3305	355	1	32	32	NUM
fuelectenerg-3305	355	2	x1x2	x1x2	PUNCT
fuelectenerg-3305	355	3	⊕	⊕	PROPN
fuelectenerg-3305	355	4	x3x4	x3x4	PROPN
fuelectenerg-3305	355	5	⊕	⊕	PROPN
fuelectenerg-3305	355	6	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	355	7	⊕	⊕	PROPN
fuelectenerg-3305	355	8	x1x2x3x4	x1x2x3x4	PROPN
fuelectenerg-3305	355	9	33	33	NUM
fuelectenerg-3305	355	10	x1x2	x1x2	PUNCT
fuelectenerg-3305	355	11	⊕	⊕	PROPN
fuelectenerg-3305	355	12	x3x4	x3x4	PROPN
fuelectenerg-3305	355	13	⊕	⊕	PROPN
fuelectenerg-3305	355	14	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	355	15	35	35	NUM
fuelectenerg-3305	355	16	x1x2	x1x2	PUNCT
fuelectenerg-3305	355	17	⊕	⊕	PROPN
fuelectenerg-3305	355	18	x3x4	x3x4	PROPN
fuelectenerg-3305	355	19	⊕	⊕	PROPN
fuelectenerg-3305	355	20	x1x2x3x5	x1x2x3x5	PROPN
fuelectenerg-3305	355	21	37	37	NUM
fuelectenerg-3305	355	22	x1x2	x1x2	PUNCT
fuelectenerg-3305	355	23	⊕	⊕	PROPN
fuelectenerg-3305	355	24	x3x4	x3x4	PROPN
fuelectenerg-3305	356	1	⊕	⊕	PROPN
fuelectenerg-3305	356	2	x1x2x3x4x5	x1x2x3x4x5	X
fuelectenerg-3305	357	1	39	39	NUM
fuelectenerg-3305	357	2	x1x2	x1x2	PUNCT
fuelectenerg-3305	358	1	⊕	⊕	NOUN
fuelectenerg-3305	358	2	x3x4	x3x4	ADP
fuelectenerg-3305	358	3	two	two	NUM
fuelectenerg-3305	358	4	variables	variable	NOUN
fuelectenerg-3305	358	5	in	in	ADP
fuelectenerg-3305	358	6	the	the	DET
fuelectenerg-3305	358	7	polynomial	polynomial	ADJ
fuelectenerg-3305	358	8	form	form	NOUN
fuelectenerg-3305	358	9	is	be	AUX
fuelectenerg-3305	358	10	222	222	NUM
fuelectenerg-3305	358	11	.	.	PUNCT
fuelectenerg-3305	359	1	all	all	DET
fuelectenerg-3305	359	2	other	other	ADJ
fuelectenerg-3305	359	3	functions	function	NOUN
fuelectenerg-3305	359	4	from	from	ADP
fuelectenerg-3305	359	5	this	this	DET
fuelectenerg-3305	359	6	class	class	NOUN
fuelectenerg-3305	359	7	have	have	VERB
fuelectenerg-3305	359	8	some	some	DET
fuelectenerg-3305	359	9	products	product	NOUN
fuelectenerg-3305	359	10	with	with	ADP
fuelectenerg-3305	359	11	three	three	NUM
fuelectenerg-3305	359	12	variables	variable	NOUN
fuelectenerg-3305	359	13	in	in	ADP
fuelectenerg-3305	359	14	the	the	DET
fuelectenerg-3305	359	15	polynomial	polynomial	ADJ
fuelectenerg-3305	359	16	form	form	NOUN
fuelectenerg-3305	359	17	.	.	PUNCT
fuelectenerg-3305	360	1	for	for	ADP
fuelectenerg-3305	360	2	example	example	NOUN
fuelectenerg-3305	360	3	,	,	PUNCT
fuelectenerg-3305	360	4	there	there	PRON
fuelectenerg-3305	360	5	are	be	VERB
fuelectenerg-3305	360	6	15012	15012	NUM
fuelectenerg-3305	360	7	functions	function	NOUN
fuelectenerg-3305	360	8	with	with	ADP
fuelectenerg-3305	360	9	five	five	NUM
fuelectenerg-3305	360	10	products	product	NOUN
fuelectenerg-3305	360	11	of	of	ADP
fuelectenerg-3305	360	12	two	two	NUM
fuelectenerg-3305	360	13	variables	variable	NOUN
fuelectenerg-3305	360	14	and	and	CCONJ
fuelectenerg-3305	360	15	five	five	NUM
fuelectenerg-3305	360	16	products	product	NOUN
fuelectenerg-3305	360	17	of	of	ADP
fuelectenerg-3305	360	18	three	three	NUM
fuelectenerg-3305	360	19	variables	variable	NOUN
fuelectenerg-3305	360	20	.	.	PUNCT
fuelectenerg-3305	361	1	it	it	PRON
fuelectenerg-3305	361	2	is	be	AUX
fuelectenerg-3305	361	3	possible	possible	ADJ
fuelectenerg-3305	361	4	to	to	PART
fuelectenerg-3305	361	5	generate	generate	VERB
fuelectenerg-3305	361	6	all	all	DET
fuelectenerg-3305	361	7	these	these	DET
fuelectenerg-3305	361	8	functions	function	NOUN
fuelectenerg-3305	361	9	by	by	ADP
fuelectenerg-3305	361	10	the	the	DET
fuelectenerg-3305	361	11	spectral	spectral	ADJ
fuelectenerg-3305	361	12	invariant	invariant	ADJ
fuelectenerg-3305	361	13	operations	operation	NOUN
fuelectenerg-3305	361	14	including	include	VERB
fuelectenerg-3305	361	15	the	the	DET
fuelectenerg-3305	361	16	new	new	ADJ
fuelectenerg-3305	361	17	operations	operation	NOUN
fuelectenerg-3305	361	18	.	.	PUNCT
fuelectenerg-3305	362	1	here	here	ADV
fuelectenerg-3305	362	2	we	we	PRON
fuelectenerg-3305	362	3	will	will	AUX
fuelectenerg-3305	362	4	show	show	VERB
fuelectenerg-3305	362	5	how	how	SCONJ
fuelectenerg-3305	362	6	functions	function	NOUN
fuelectenerg-3305	362	7	φ1	φ1	NOUN
fuelectenerg-3305	362	8	and	and	CCONJ
fuelectenerg-3305	362	9	φ2	φ2	PROPN
fuelectenerg-3305	362	10	,	,	PUNCT
fuelectenerg-3305	362	11	defined	define	VERB
fuelectenerg-3305	362	12	by	by	ADP
fuelectenerg-3305	362	13	the	the	DET
fuelectenerg-3305	362	14	the	the	DET
fuelectenerg-3305	362	15	karnaugh	karnaugh	PROPN
fuelectenerg-3305	362	16	maps	map	VERB
fuelectenerg-3305	362	17	in	in	ADP
fuelectenerg-3305	362	18	table	table	NOUN
fuelectenerg-3305	362	19	2	2	NUM
fuelectenerg-3305	362	20	and	and	CCONJ
fuelectenerg-3305	362	21	table	table	NOUN
fuelectenerg-3305	362	22	3	3	NUM
fuelectenerg-3305	362	23	are	be	AUX
fuelectenerg-3305	362	24	mutually	mutually	ADV
fuelectenerg-3305	362	25	related	relate	VERB
fuelectenerg-3305	362	26	and	and	CCONJ
fuelectenerg-3305	362	27	how	how	SCONJ
fuelectenerg-3305	362	28	it	it	PRON
fuelectenerg-3305	362	29	is	be	AUX
fuelectenerg-3305	362	30	possible	possible	ADJ
fuelectenerg-3305	362	31	to	to	PART
fuelectenerg-3305	362	32	generate	generate	VERB
fuelectenerg-3305	362	33	these	these	DET
fuelectenerg-3305	362	34	two	two	NUM
fuelectenerg-3305	362	35	functions	function	NOUN
fuelectenerg-3305	362	36	starting	start	VERB
fuelectenerg-3305	362	37	from	from	ADP
fuelectenerg-3305	362	38	the	the	DET
fuelectenerg-3305	362	39	function	function	NOUN
fuelectenerg-3305	362	40	x1x2	x1x2	PUNCT
fuelectenerg-3305	362	41	⊕	⊕	PROPN
fuelectenerg-3305	362	42	x3x4	x3x4	PUNCT
fuelectenerg-3305	362	43	by	by	ADP
fuelectenerg-3305	362	44	increasing	increase	VERB
fuelectenerg-3305	362	45	the	the	DET
fuelectenerg-3305	362	46	number	number	NOUN
fuelectenerg-3305	362	47	of	of	ADP
fuelectenerg-3305	362	48	variables	variable	NOUN
fuelectenerg-3305	362	49	in	in	ADP
fuelectenerg-3305	362	50	the	the	DET
fuelectenerg-3305	362	51	product	product	NOUN
fuelectenerg-3305	362	52	terms	term	NOUN
fuelectenerg-3305	362	53	by	by	ADP
fuelectenerg-3305	362	54	using	use	VERB
fuelectenerg-3305	362	55	the	the	DET
fuelectenerg-3305	362	56	spectral	spectral	ADJ
fuelectenerg-3305	362	57	invariant	invariant	ADJ
fuelectenerg-3305	362	58	operation	operation	NOUN
fuelectenerg-3305	362	59	introduced	introduce	VERB
fuelectenerg-3305	362	60	above	above	ADV
fuelectenerg-3305	362	61	.	.	PUNCT
fuelectenerg-3305	363	1	the	the	DET
fuelectenerg-3305	363	2	polynomial	polynomial	ADJ
fuelectenerg-3305	363	3	forms	form	NOUN
fuelectenerg-3305	363	4	of	of	ADP
fuelectenerg-3305	363	5	these	these	DET
fuelectenerg-3305	363	6	functions	function	NOUN
fuelectenerg-3305	363	7	are	be	AUX
fuelectenerg-3305	363	8	φ1	φ1	NOUN
fuelectenerg-3305	363	9	=	=	SYM
fuelectenerg-3305	363	10	x1x4	x1x4	PROPN
fuelectenerg-3305	364	1	⊕	⊕	PROPN
fuelectenerg-3305	364	2	x2x5	x2x5	PROPN
fuelectenerg-3305	365	1	⊕	⊕	PROPN
fuelectenerg-3305	365	2	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	365	3	⊕	⊕	PROPN
fuelectenerg-3305	365	4	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	365	5	⊕	⊕	PROPN
fuelectenerg-3305	365	6	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	365	7	φ2	φ2	PROPN
fuelectenerg-3305	365	8	=	=	PRON
fuelectenerg-3305	366	1	x1x3	x1x3	PROPN
fuelectenerg-3305	366	2	⊕	⊕	PROPN
fuelectenerg-3305	366	3	x2x4	x2x4	PUNCT
fuelectenerg-3305	367	1	⊕	⊕	PROPN
fuelectenerg-3305	367	2	x3x4	x3x4	PROPN
fuelectenerg-3305	367	3	⊕	⊕	PROPN
fuelectenerg-3305	367	4	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	367	5	⊕	⊕	PROPN
fuelectenerg-3305	367	6	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	367	7	⊕	⊕	PROPN
fuelectenerg-3305	367	8	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	367	9	⊕	⊕	PROPN
fuelectenerg-3305	367	10	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	367	11	.	.	PUNCT
fuelectenerg-3305	368	1	constructing	construct	VERB
fuelectenerg-3305	368	2	φ1	φ1	PROPN
fuelectenerg-3305	368	3	•	•	ADV
fuelectenerg-3305	368	4	start	start	VERB
fuelectenerg-3305	368	5	from	from	ADP
fuelectenerg-3305	368	6	ζ1(x1	ζ1(x1	PROPN
fuelectenerg-3305	368	7	,	,	PUNCT
fuelectenerg-3305	368	8	·	·	PUNCT
fuelectenerg-3305	368	9	·	·	PUNCT
fuelectenerg-3305	368	10	·	·	PUNCT
fuelectenerg-3305	368	11	,	,	PUNCT
fuelectenerg-3305	368	12	x5	x5	PROPN
fuelectenerg-3305	368	13	)	)	PUNCT
fuelectenerg-3305	368	14	=	=	SYM
fuelectenerg-3305	369	1	x1x2	x1x2	PROPN
fuelectenerg-3305	369	2	⊕	⊕	PROPN
fuelectenerg-3305	369	3	x3x4	x3x4	PROPN
fuelectenerg-3305	369	4	.	.	PROPN
fuelectenerg-3305	369	5	•	•	NUM
fuelectenerg-3305	369	6	permutation	permutation	NOUN
fuelectenerg-3305	369	7	of	of	ADP
fuelectenerg-3305	369	8	x1	x1	PROPN
fuelectenerg-3305	369	9	and	and	CCONJ
fuelectenerg-3305	369	10	x5	x5	NOUN
fuelectenerg-3305	369	11	,	,	PUNCT
fuelectenerg-3305	369	12	produces	produce	VERB
fuelectenerg-3305	369	13	the	the	DET
fuelectenerg-3305	369	14	function	function	NOUN
fuelectenerg-3305	369	15	ζ2(x1	ζ2(x1	NOUN
fuelectenerg-3305	369	16	,	,	PUNCT
fuelectenerg-3305	369	17	·	·	PUNCT
fuelectenerg-3305	369	18	·	·	PUNCT
fuelectenerg-3305	369	19	·	·	PUNCT
fuelectenerg-3305	369	20	,	,	PUNCT
fuelectenerg-3305	369	21	x5	x5	PROPN
fuelectenerg-3305	369	22	)	)	PUNCT
fuelectenerg-3305	369	23	=	=	SYM
fuelectenerg-3305	369	24	x2x5	x2x5	PROPN
fuelectenerg-3305	369	25	⊕	⊕	PROPN
fuelectenerg-3305	369	26	x3x4	x3x4	PROPN
fuelectenerg-3305	369	27	.	.	PROPN
fuelectenerg-3305	369	28	200	200	NUM
fuelectenerg-3305	369	29	m.	m.	NOUN
fuelectenerg-3305	369	30	stanković	stanković	NOUN
fuelectenerg-3305	369	31	,	,	PUNCT
fuelectenerg-3305	369	32	c.	c.	PROPN
fuelectenerg-3305	369	33	moraga	moraga	PROPN
fuelectenerg-3305	369	34	,	,	PUNCT
fuelectenerg-3305	369	35	r.	r.	PROPN
fuelectenerg-3305	369	36	s.	s.	PROPN
fuelectenerg-3305	369	37	stanković	stanković	PROPN
fuelectenerg-3305	369	38	an	an	DET
fuelectenerg-3305	369	39	improved	improved	ADJ
fuelectenerg-3305	369	40	spectral	spectral	ADJ
fuelectenerg-3305	369	41	classification	classification	NOUN
fuelectenerg-3305	369	42	of	of	ADP
fuelectenerg-3305	369	43	boolean	boolean	ADJ
fuelectenerg-3305	369	44	functions	function	NOUN
fuelectenerg-3305	369	45	...	...	PUNCT
fuelectenerg-3305	369	46	201	201	NUM
fuelectenerg-3305	369	47	14	14	NUM
fuelectenerg-3305	369	48	m.	m.	NOUN
fuelectenerg-3305	369	49	stankovic	stankovic	PROPN
fuelectenerg-3305	369	50	,	,	PUNCT
fuelectenerg-3305	369	51	c.	c.	PROPN
fuelectenerg-3305	369	52	moraga	moraga	PROPN
fuelectenerg-3305	369	53	,	,	PUNCT
fuelectenerg-3305	369	54	r.	r.	PROPN
fuelectenerg-3305	369	55	s.	s.	PROPN
fuelectenerg-3305	369	56	stanković	stanković	PROPN
fuelectenerg-3305	370	1	•	•	NUM
fuelectenerg-3305	370	2	permutation	permutation	NOUN
fuelectenerg-3305	370	3	of	of	ADP
fuelectenerg-3305	370	4	x1	x1	PROPN
fuelectenerg-3305	370	5	and	and	CCONJ
fuelectenerg-3305	370	6	x3	x3	ADJ
fuelectenerg-3305	370	7	,	,	PUNCT
fuelectenerg-3305	370	8	produces	produce	VERB
fuelectenerg-3305	370	9	the	the	DET
fuelectenerg-3305	370	10	function	function	NOUN
fuelectenerg-3305	370	11	ζ3(x1	ζ3(x1	ADJ
fuelectenerg-3305	370	12	,	,	PUNCT
fuelectenerg-3305	370	13	·	·	PUNCT
fuelectenerg-3305	370	14	·	·	PUNCT
fuelectenerg-3305	370	15	·	·	PUNCT
fuelectenerg-3305	370	16	,	,	PUNCT
fuelectenerg-3305	370	17	x5	x5	PROPN
fuelectenerg-3305	370	18	)	)	PUNCT
fuelectenerg-3305	370	19	=	=	SYM
fuelectenerg-3305	370	20	x2x5	x2x5	PROPN
fuelectenerg-3305	370	21	⊕	⊕	PROPN
fuelectenerg-3305	370	22	x1x4	x1x4	PROPN
fuelectenerg-3305	370	23	.	.	PROPN
fuelectenerg-3305	370	24	•	•	NUM
fuelectenerg-3305	370	25	adding	add	VERB
fuelectenerg-3305	370	26	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	370	27	according	accord	VERB
fuelectenerg-3305	370	28	to	to	ADP
fuelectenerg-3305	370	29	the	the	DET
fuelectenerg-3305	370	30	new	new	ADJ
fuelectenerg-3305	370	31	invariant	invariant	ADJ
fuelectenerg-3305	370	32	operation	operation	NOUN
fuelectenerg-3305	370	33	,	,	PUNCT
fuelectenerg-3305	370	34	produces	produce	VERB
fuelectenerg-3305	370	35	the	the	DET
fuelectenerg-3305	370	36	function	function	NOUN
fuelectenerg-3305	370	37	ζ4(x1	ζ4(x1	NOUN
fuelectenerg-3305	370	38	,	,	PUNCT
fuelectenerg-3305	370	39	·	·	PUNCT
fuelectenerg-3305	370	40	·	·	PUNCT
fuelectenerg-3305	370	41	·	·	PUNCT
fuelectenerg-3305	370	42	,	,	PUNCT
fuelectenerg-3305	370	43	x5	x5	PROPN
fuelectenerg-3305	370	44	)	)	PUNCT
fuelectenerg-3305	370	45	=	=	SYM
fuelectenerg-3305	371	1	x2x5	x2x5	SYM
fuelectenerg-3305	371	2	⊕	⊕	PROPN
fuelectenerg-3305	371	3	x1x4	x1x4	PROPN
fuelectenerg-3305	371	4	⊕	⊕	PROPN
fuelectenerg-3305	371	5	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	371	6	.	.	PROPN
fuelectenerg-3305	371	7	•	•	NUM
fuelectenerg-3305	371	8	replacing	replace	VERB
fuelectenerg-3305	371	9	x3	x3	ADJ
fuelectenerg-3305	371	10	with	with	ADP
fuelectenerg-3305	371	11	x3	x3	PROPN
fuelectenerg-3305	371	12	⊕	⊕	PROPN
fuelectenerg-3305	371	13	x4	x4	PROPN
fuelectenerg-3305	371	14	produces	produce	VERB
fuelectenerg-3305	371	15	the	the	DET
fuelectenerg-3305	371	16	function	function	NOUN
fuelectenerg-3305	371	17	ζ5(x1	ζ5(x1	NOUN
fuelectenerg-3305	371	18	,	,	PUNCT
fuelectenerg-3305	371	19	·	·	PUNCT
fuelectenerg-3305	371	20	·	·	PUNCT
fuelectenerg-3305	371	21	·	·	PUNCT
fuelectenerg-3305	371	22	,	,	PUNCT
fuelectenerg-3305	371	23	x5	x5	PROPN
fuelectenerg-3305	371	24	)	)	PUNCT
fuelectenerg-3305	371	25	=	=	SYM
fuelectenerg-3305	371	26	x2x5	x2x5	SYM
fuelectenerg-3305	371	27	⊕	⊕	PROPN
fuelectenerg-3305	371	28	x1x4	x1x4	PROPN
fuelectenerg-3305	371	29	⊕	⊕	PROPN
fuelectenerg-3305	371	30	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	371	31	⊕	⊕	PROPN
fuelectenerg-3305	371	32	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	371	33	.	.	PROPN
fuelectenerg-3305	371	34	•	•	NUM
fuelectenerg-3305	371	35	replacing	replace	VERB
fuelectenerg-3305	371	36	x3	x3	ADJ
fuelectenerg-3305	371	37	with	with	ADP
fuelectenerg-3305	371	38	x3	x3	PROPN
fuelectenerg-3305	371	39	⊕	⊕	PROPN
fuelectenerg-3305	371	40	x5	x5	PROPN
fuelectenerg-3305	371	41	in	in	ADP
fuelectenerg-3305	371	42	ζ5	ζ5	ADV
fuelectenerg-3305	371	43	produces	produce	VERB
fuelectenerg-3305	371	44	the	the	DET
fuelectenerg-3305	371	45	function	function	NOUN
fuelectenerg-3305	371	46	φ1	φ1	NOUN
fuelectenerg-3305	371	47	=	=	SYM
fuelectenerg-3305	372	1	x2x5	x2x5	PROPN
fuelectenerg-3305	372	2	⊕	⊕	PROPN
fuelectenerg-3305	372	3	x1x4	x1x4	PROPN
fuelectenerg-3305	372	4	⊕	⊕	PROPN
fuelectenerg-3305	372	5	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	372	6	⊕	⊕	PROPN
fuelectenerg-3305	372	7	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	373	1	⊕	⊕	PROPN
fuelectenerg-3305	373	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	373	3	.	.	PUNCT
fuelectenerg-3305	374	1	constructing	construct	VERB
fuelectenerg-3305	374	2	φ2	φ2	PROPN
fuelectenerg-3305	374	3	•	•	NUM
fuelectenerg-3305	374	4	start	start	VERB
fuelectenerg-3305	374	5	from	from	ADP
fuelectenerg-3305	374	6	ζ1(x1	ζ1(x1	PROPN
fuelectenerg-3305	374	7	,	,	PUNCT
fuelectenerg-3305	374	8	·	·	PUNCT
fuelectenerg-3305	374	9	·	·	PUNCT
fuelectenerg-3305	374	10	·	·	PUNCT
fuelectenerg-3305	374	11	,	,	PUNCT
fuelectenerg-3305	374	12	x5	x5	PROPN
fuelectenerg-3305	374	13	)	)	PUNCT
fuelectenerg-3305	374	14	=	=	SYM
fuelectenerg-3305	375	1	x1x2	x1x2	PROPN
fuelectenerg-3305	375	2	⊕	⊕	PROPN
fuelectenerg-3305	375	3	x3x4	x3x4	PROPN
fuelectenerg-3305	375	4	.	.	PROPN
fuelectenerg-3305	375	5	•	•	NUM
fuelectenerg-3305	375	6	permutation	permutation	NOUN
fuelectenerg-3305	375	7	of	of	ADP
fuelectenerg-3305	375	8	x2	x2	PROPN
fuelectenerg-3305	375	9	and	and	CCONJ
fuelectenerg-3305	375	10	x3	x3	ADJ
fuelectenerg-3305	375	11	in	in	ADP
fuelectenerg-3305	375	12	ζ1	ζ1	PROPN
fuelectenerg-3305	375	13	produces	produce	VERB
fuelectenerg-3305	375	14	the	the	DET
fuelectenerg-3305	375	15	function	function	NOUN
fuelectenerg-3305	375	16	ζ2(x1	ζ2(x1	NOUN
fuelectenerg-3305	375	17	,	,	PUNCT
fuelectenerg-3305	375	18	·	·	PUNCT
fuelectenerg-3305	375	19	·	·	PUNCT
fuelectenerg-3305	375	20	·	·	PUNCT
fuelectenerg-3305	375	21	,	,	PUNCT
fuelectenerg-3305	375	22	x5	x5	PROPN
fuelectenerg-3305	375	23	)	)	PUNCT
fuelectenerg-3305	375	24	=	=	PUNCT
fuelectenerg-3305	376	1	x1x3	x1x3	PROPN
fuelectenerg-3305	376	2	⊕	⊕	PROPN
fuelectenerg-3305	376	3	x2x4	x2x4	PROPN
fuelectenerg-3305	376	4	.	.	PROPN
fuelectenerg-3305	376	5	•	•	NUM
fuelectenerg-3305	376	6	adding	add	VERB
fuelectenerg-3305	376	7	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	376	8	and	and	CCONJ
fuelectenerg-3305	376	9	x3x4x̄5	x3x4x̄5	PROPN
fuelectenerg-3305	376	10	according	accord	VERB
fuelectenerg-3305	376	11	to	to	ADP
fuelectenerg-3305	376	12	the	the	DET
fuelectenerg-3305	376	13	new	new	ADJ
fuelectenerg-3305	376	14	invariant	invariant	ADJ
fuelectenerg-3305	376	15	operation	operation	NOUN
fuelectenerg-3305	376	16	produces	produce	VERB
fuelectenerg-3305	376	17	the	the	DET
fuelectenerg-3305	376	18	function	function	NOUN
fuelectenerg-3305	376	19	ζ3(x1	ζ3(x1	ADJ
fuelectenerg-3305	376	20	,	,	PUNCT
fuelectenerg-3305	376	21	·	·	PUNCT
fuelectenerg-3305	376	22	·	·	PUNCT
fuelectenerg-3305	376	23	·	·	PUNCT
fuelectenerg-3305	376	24	,	,	PUNCT
fuelectenerg-3305	376	25	x5	x5	PROPN
fuelectenerg-3305	376	26	)	)	PUNCT
fuelectenerg-3305	377	1	=	=	SYM
fuelectenerg-3305	377	2	x1x3⊕x2x4⊕x1x2x5⊕x3x4x5⊕	x1x3⊕x2x4⊕x1x2x5⊕x3x4x5⊕	NUM
fuelectenerg-3305	378	1	x3x4	x3x4	PROPN
fuelectenerg-3305	378	2	.	.	NOUN
fuelectenerg-3305	378	3	•	•	NUM
fuelectenerg-3305	378	4	replacing	replace	VERB
fuelectenerg-3305	378	5	x5	x5	NOUN
fuelectenerg-3305	378	6	with	with	ADP
fuelectenerg-3305	378	7	x5	x5	PROPN
fuelectenerg-3305	378	8	⊕	⊕	PROPN
fuelectenerg-3305	378	9	x4	x4	PROPN
fuelectenerg-3305	378	10	produces	produce	VERB
fuelectenerg-3305	378	11	the	the	DET
fuelectenerg-3305	378	12	function	function	NOUN
fuelectenerg-3305	378	13	ζ4(x1	ζ4(x1	NOUN
fuelectenerg-3305	378	14	,	,	PUNCT
fuelectenerg-3305	378	15	·	·	PUNCT
fuelectenerg-3305	378	16	·	·	PUNCT
fuelectenerg-3305	378	17	·	·	PUNCT
fuelectenerg-3305	378	18	,	,	PUNCT
fuelectenerg-3305	378	19	x5	x5	PROPN
fuelectenerg-3305	378	20	)	)	PUNCT
fuelectenerg-3305	378	21	=	=	PUNCT
fuelectenerg-3305	379	1	x1x3	x1x3	PROPN
fuelectenerg-3305	379	2	⊕	⊕	PROPN
fuelectenerg-3305	379	3	x2x4	x2x4	PUNCT
fuelectenerg-3305	380	1	⊕	⊕	PROPN
fuelectenerg-3305	380	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	380	3	⊕	⊕	PROPN
fuelectenerg-3305	380	4	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	380	5	⊕	⊕	PROPN
fuelectenerg-3305	380	6	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	380	7	.	.	PUNCT
fuelectenerg-3305	381	1	•	•	NUM
fuelectenerg-3305	381	2	replacing	replace	VERB
fuelectenerg-3305	381	3	x5	x5	NOUN
fuelectenerg-3305	381	4	with	with	ADP
fuelectenerg-3305	381	5	x5	x5	PROPN
fuelectenerg-3305	381	6	⊕	⊕	PROPN
fuelectenerg-3305	381	7	x3	x3	VERB
fuelectenerg-3305	381	8	in	in	ADP
fuelectenerg-3305	381	9	ζ4	ζ4	PROPN
fuelectenerg-3305	381	10	produces	produce	VERB
fuelectenerg-3305	381	11	the	the	DET
fuelectenerg-3305	381	12	function	function	NOUN
fuelectenerg-3305	381	13	φ2	φ2	NOUN
fuelectenerg-3305	381	14	=	=	PRON
fuelectenerg-3305	382	1	x1x3	x1x3	PROPN
fuelectenerg-3305	382	2	⊕	⊕	PROPN
fuelectenerg-3305	382	3	x2x4	x2x4	PUNCT
fuelectenerg-3305	383	1	⊕	⊕	PROPN
fuelectenerg-3305	383	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	383	3	⊕	⊕	PROPN
fuelectenerg-3305	383	4	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	383	5	⊕	⊕	PROPN
fuelectenerg-3305	383	6	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	383	7	⊕	⊕	PROPN
fuelectenerg-3305	383	8	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	383	9	⊕	⊕	PROPN
fuelectenerg-3305	383	10	x3x4	x3x4	PROPN
fuelectenerg-3305	383	11	.	.	PROPN
fuelectenerg-3305	383	12	5	5	NUM
fuelectenerg-3305	383	13	consideration	consideration	NOUN
fuelectenerg-3305	383	14	of	of	ADP
fuelectenerg-3305	383	15	other	other	ADJ
fuelectenerg-3305	383	16	classes	class	NOUN
fuelectenerg-3305	383	17	it	it	PRON
fuelectenerg-3305	383	18	is	be	AUX
fuelectenerg-3305	383	19	possible	possible	ADJ
fuelectenerg-3305	383	20	to	to	PART
fuelectenerg-3305	383	21	repeat	repeat	VERB
fuelectenerg-3305	383	22	the	the	DET
fuelectenerg-3305	383	23	considerations	consideration	NOUN
fuelectenerg-3305	383	24	for	for	ADP
fuelectenerg-3305	383	25	three	three	NUM
fuelectenerg-3305	383	26	classes	class	NOUN
fuelectenerg-3305	383	27	45a	45a	NOUN
fuelectenerg-3305	383	28	,	,	PUNCT
fuelectenerg-3305	383	29	45b	45b	NOUN
fuelectenerg-3305	383	30	,	,	PUNCT
fuelectenerg-3305	383	31	and	and	CCONJ
fuelectenerg-3305	383	32	47	47	NUM
fuelectenerg-3305	383	33	,	,	PUNCT
fuelectenerg-3305	383	34	to	to	ADP
fuelectenerg-3305	383	35	all	all	DET
fuelectenerg-3305	383	36	other	other	ADJ
fuelectenerg-3305	383	37	classes	class	NOUN
fuelectenerg-3305	383	38	in	in	ADP
fuelectenerg-3305	383	39	table	table	NOUN
fuelectenerg-3305	383	40	4	4	NUM
fuelectenerg-3305	383	41	.	.	PUNCT
fuelectenerg-3305	384	1	in	in	ADP
fuelectenerg-3305	384	2	all	all	DET
fuelectenerg-3305	384	3	these	these	DET
fuelectenerg-3305	384	4	cases	case	NOUN
fuelectenerg-3305	384	5	it	it	PRON
fuelectenerg-3305	384	6	is	be	AUX
fuelectenerg-3305	384	7	possible	possible	ADJ
fuelectenerg-3305	384	8	to	to	PART
fuelectenerg-3305	384	9	find	find	VERB
fuelectenerg-3305	384	10	a	a	DET
fuelectenerg-3305	384	11	basic	basic	ADJ
fuelectenerg-3305	384	12	function	function	NOUN
fuelectenerg-3305	384	13	from	from	ADP
fuelectenerg-3305	384	14	which	which	PRON
fuelectenerg-3305	384	15	all	all	DET
fuelectenerg-3305	384	16	other	other	ADJ
fuelectenerg-3305	384	17	functions	function	NOUN
fuelectenerg-3305	384	18	from	from	ADP
fuelectenerg-3305	384	19	the	the	DET
fuelectenerg-3305	384	20	class	class	NOUN
fuelectenerg-3305	384	21	considered	consider	VERB
fuelectenerg-3305	384	22	are	be	AUX
fuelectenerg-3305	384	23	generated	generate	VERB
fuelectenerg-3305	384	24	by	by	ADP
fuelectenerg-3305	384	25	the	the	DET
fuelectenerg-3305	384	26	usage	usage	NOUN
fuelectenerg-3305	384	27	of	of	ADP
fuelectenerg-3305	384	28	the	the	DET
fuelectenerg-3305	384	29	five	five	NUM
fuelectenerg-3305	384	30	affine	affine	NOUN
fuelectenerg-3305	384	31	invariant	invariant	ADJ
fuelectenerg-3305	384	32	operation	operation	NOUN
fuelectenerg-3305	384	33	together	together	ADV
fuelectenerg-3305	384	34	with	with	ADP
fuelectenerg-3305	384	35	the	the	DET
fuelectenerg-3305	384	36	new	new	ADJ
fuelectenerg-3305	384	37	invariant	invariant	ADJ
fuelectenerg-3305	384	38	operations	operation	NOUN
fuelectenerg-3305	384	39	,	,	PUNCT
fuelectenerg-3305	384	40	as	as	SCONJ
fuelectenerg-3305	384	41	shown	show	VERB
fuelectenerg-3305	384	42	in	in	ADP
fuelectenerg-3305	384	43	table	table	NOUN
fuelectenerg-3305	384	44	7	7	NUM
fuelectenerg-3305	384	45	.	.	PUNCT
fuelectenerg-3305	385	1	note	note	VERB
fuelectenerg-3305	385	2	that	that	SCONJ
fuelectenerg-3305	385	3	all	all	DET
fuelectenerg-3305	385	4	these	these	DET
fuelectenerg-3305	385	5	basic	basic	ADJ
fuelectenerg-3305	385	6	functions	function	NOUN
fuelectenerg-3305	385	7	have	have	VERB
fuelectenerg-3305	385	8	disjoint	disjoint	NOUN
fuelectenerg-3305	385	9	products	product	NOUN
fuelectenerg-3305	385	10	of	of	ADP
fuelectenerg-3305	385	11	pairs	pair	NOUN
fuelectenerg-3305	385	12	of	of	ADP
fuelectenerg-3305	385	13	variables	variable	NOUN
fuelectenerg-3305	385	14	in	in	ADP
fuelectenerg-3305	385	15	the	the	DET
fuelectenerg-3305	385	16	polynomial	polynomial	ADJ
fuelectenerg-3305	385	17	forms	form	NOUN
fuelectenerg-3305	385	18	.	.	PUNCT
fuelectenerg-3305	386	1	in	in	ADP
fuelectenerg-3305	386	2	the	the	DET
fuelectenerg-3305	386	3	following	following	ADJ
fuelectenerg-3305	386	4	example	example	NOUN
fuelectenerg-3305	386	5	it	it	PRON
fuelectenerg-3305	386	6	will	will	AUX
fuelectenerg-3305	386	7	be	be	AUX
fuelectenerg-3305	386	8	shown	show	VERB
fuelectenerg-3305	386	9	how	how	SCONJ
fuelectenerg-3305	386	10	classes	class	NOUN
fuelectenerg-3305	386	11	34	34	NUM
fuelectenerg-3305	386	12	and	and	CCONJ
fuelectenerg-3305	386	13	37	37	NUM
fuelectenerg-3305	386	14	from	from	ADP
fuelectenerg-3305	386	15	table	table	NOUN
fuelectenerg-3305	386	16	1	1	NUM
fuelectenerg-3305	386	17	are	be	AUX
fuelectenerg-3305	386	18	mutually	mutually	ADV
fuelectenerg-3305	386	19	related	relate	VERB
fuelectenerg-3305	386	20	.	.	PUNCT
fuelectenerg-3305	387	1	example	example	NOUN
fuelectenerg-3305	388	1	3	3	NUM
fuelectenerg-3305	388	2	let	let	VERB
fuelectenerg-3305	388	3	us	we	PRON
fuelectenerg-3305	388	4	start	start	VERB
fuelectenerg-3305	388	5	from	from	ADP
fuelectenerg-3305	388	6	the	the	DET
fuelectenerg-3305	388	7	function	function	NOUN
fuelectenerg-3305	388	8	η1	η1	NOUN
fuelectenerg-3305	388	9	=	=	SYM
fuelectenerg-3305	388	10	x1x2	x1x2	PROPN
fuelectenerg-3305	388	11	⊕	⊕	PROPN
fuelectenerg-3305	388	12	x3x4	x3x4	PROPN
fuelectenerg-3305	388	13	⊕	⊕	PROPN
fuelectenerg-3305	388	14	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	388	15	.	.	PUNCT
fuelectenerg-3305	389	1	202	202	NUM
fuelectenerg-3305	389	2	m.	m.	NOUN
fuelectenerg-3305	389	3	stanković	stanković	PROPN
fuelectenerg-3305	389	4	,	,	PUNCT
fuelectenerg-3305	389	5	c.	c.	PROPN
fuelectenerg-3305	389	6	moraga	moraga	PROPN
fuelectenerg-3305	389	7	,	,	PUNCT
fuelectenerg-3305	389	8	r.	r.	PROPN
fuelectenerg-3305	389	9	s.	s.	PROPN
fuelectenerg-3305	389	10	stanković	stanković	PROPN
fuelectenerg-3305	389	11	an	an	DET
fuelectenerg-3305	389	12	improved	improved	ADJ
fuelectenerg-3305	389	13	spectral	spectral	ADJ
fuelectenerg-3305	389	14	classification	classification	NOUN
fuelectenerg-3305	389	15	of	of	ADP
fuelectenerg-3305	389	16	boolean	boolean	ADJ
fuelectenerg-3305	389	17	functions	function	NOUN
fuelectenerg-3305	389	18	...	...	PUNCT
fuelectenerg-3305	389	19	203	203	NUM
fuelectenerg-3305	389	20	14	14	NUM
fuelectenerg-3305	389	21	m.	m.	NOUN
fuelectenerg-3305	389	22	stankovic	stankovic	PROPN
fuelectenerg-3305	389	23	,	,	PUNCT
fuelectenerg-3305	389	24	c.	c.	PROPN
fuelectenerg-3305	389	25	moraga	moraga	PROPN
fuelectenerg-3305	389	26	,	,	PUNCT
fuelectenerg-3305	389	27	r.	r.	PROPN
fuelectenerg-3305	389	28	s.	s.	PROPN
fuelectenerg-3305	389	29	stanković	stanković	PROPN
fuelectenerg-3305	390	1	•	•	NUM
fuelectenerg-3305	390	2	permutation	permutation	NOUN
fuelectenerg-3305	390	3	of	of	ADP
fuelectenerg-3305	390	4	x1	x1	PROPN
fuelectenerg-3305	390	5	and	and	CCONJ
fuelectenerg-3305	390	6	x3	x3	ADJ
fuelectenerg-3305	390	7	,	,	PUNCT
fuelectenerg-3305	390	8	produces	produce	VERB
fuelectenerg-3305	390	9	the	the	DET
fuelectenerg-3305	390	10	function	function	NOUN
fuelectenerg-3305	390	11	ζ3(x1	ζ3(x1	ADJ
fuelectenerg-3305	390	12	,	,	PUNCT
fuelectenerg-3305	390	13	·	·	PUNCT
fuelectenerg-3305	390	14	·	·	PUNCT
fuelectenerg-3305	390	15	·	·	PUNCT
fuelectenerg-3305	390	16	,	,	PUNCT
fuelectenerg-3305	390	17	x5	x5	PROPN
fuelectenerg-3305	390	18	)	)	PUNCT
fuelectenerg-3305	390	19	=	=	SYM
fuelectenerg-3305	390	20	x2x5	x2x5	PROPN
fuelectenerg-3305	390	21	⊕	⊕	PROPN
fuelectenerg-3305	390	22	x1x4	x1x4	PROPN
fuelectenerg-3305	390	23	.	.	PROPN
fuelectenerg-3305	390	24	•	•	NUM
fuelectenerg-3305	390	25	adding	add	VERB
fuelectenerg-3305	390	26	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	390	27	according	accord	VERB
fuelectenerg-3305	390	28	to	to	ADP
fuelectenerg-3305	390	29	the	the	DET
fuelectenerg-3305	390	30	new	new	ADJ
fuelectenerg-3305	390	31	invariant	invariant	ADJ
fuelectenerg-3305	390	32	operation	operation	NOUN
fuelectenerg-3305	390	33	,	,	PUNCT
fuelectenerg-3305	390	34	produces	produce	VERB
fuelectenerg-3305	390	35	the	the	DET
fuelectenerg-3305	390	36	function	function	NOUN
fuelectenerg-3305	390	37	ζ4(x1	ζ4(x1	NOUN
fuelectenerg-3305	390	38	,	,	PUNCT
fuelectenerg-3305	390	39	·	·	PUNCT
fuelectenerg-3305	390	40	·	·	PUNCT
fuelectenerg-3305	390	41	·	·	PUNCT
fuelectenerg-3305	390	42	,	,	PUNCT
fuelectenerg-3305	390	43	x5	x5	PROPN
fuelectenerg-3305	390	44	)	)	PUNCT
fuelectenerg-3305	390	45	=	=	SYM
fuelectenerg-3305	391	1	x2x5	x2x5	SYM
fuelectenerg-3305	391	2	⊕	⊕	PROPN
fuelectenerg-3305	391	3	x1x4	x1x4	PROPN
fuelectenerg-3305	391	4	⊕	⊕	PROPN
fuelectenerg-3305	391	5	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	391	6	.	.	PROPN
fuelectenerg-3305	391	7	•	•	NUM
fuelectenerg-3305	391	8	replacing	replace	VERB
fuelectenerg-3305	391	9	x3	x3	ADJ
fuelectenerg-3305	391	10	with	with	ADP
fuelectenerg-3305	391	11	x3	x3	PROPN
fuelectenerg-3305	391	12	⊕	⊕	PROPN
fuelectenerg-3305	391	13	x4	x4	PROPN
fuelectenerg-3305	391	14	produces	produce	VERB
fuelectenerg-3305	391	15	the	the	DET
fuelectenerg-3305	391	16	function	function	NOUN
fuelectenerg-3305	391	17	ζ5(x1	ζ5(x1	NOUN
fuelectenerg-3305	391	18	,	,	PUNCT
fuelectenerg-3305	391	19	·	·	PUNCT
fuelectenerg-3305	391	20	·	·	PUNCT
fuelectenerg-3305	391	21	·	·	PUNCT
fuelectenerg-3305	391	22	,	,	PUNCT
fuelectenerg-3305	391	23	x5	x5	PROPN
fuelectenerg-3305	391	24	)	)	PUNCT
fuelectenerg-3305	391	25	=	=	SYM
fuelectenerg-3305	391	26	x2x5	x2x5	SYM
fuelectenerg-3305	391	27	⊕	⊕	PROPN
fuelectenerg-3305	391	28	x1x4	x1x4	PROPN
fuelectenerg-3305	391	29	⊕	⊕	PROPN
fuelectenerg-3305	391	30	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	391	31	⊕	⊕	PROPN
fuelectenerg-3305	391	32	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	391	33	.	.	PROPN
fuelectenerg-3305	391	34	•	•	NUM
fuelectenerg-3305	391	35	replacing	replace	VERB
fuelectenerg-3305	391	36	x3	x3	ADJ
fuelectenerg-3305	391	37	with	with	ADP
fuelectenerg-3305	391	38	x3	x3	PROPN
fuelectenerg-3305	391	39	⊕	⊕	PROPN
fuelectenerg-3305	391	40	x5	x5	PROPN
fuelectenerg-3305	391	41	in	in	ADP
fuelectenerg-3305	391	42	ζ5	ζ5	ADV
fuelectenerg-3305	391	43	produces	produce	VERB
fuelectenerg-3305	391	44	the	the	DET
fuelectenerg-3305	391	45	function	function	NOUN
fuelectenerg-3305	391	46	φ1	φ1	NOUN
fuelectenerg-3305	391	47	=	=	SYM
fuelectenerg-3305	392	1	x2x5	x2x5	PROPN
fuelectenerg-3305	392	2	⊕	⊕	PROPN
fuelectenerg-3305	392	3	x1x4	x1x4	PROPN
fuelectenerg-3305	392	4	⊕	⊕	PROPN
fuelectenerg-3305	392	5	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	392	6	⊕	⊕	PROPN
fuelectenerg-3305	392	7	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	393	1	⊕	⊕	PROPN
fuelectenerg-3305	393	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	393	3	.	.	PUNCT
fuelectenerg-3305	394	1	constructing	construct	VERB
fuelectenerg-3305	394	2	φ2	φ2	PROPN
fuelectenerg-3305	394	3	•	•	NUM
fuelectenerg-3305	394	4	start	start	VERB
fuelectenerg-3305	394	5	from	from	ADP
fuelectenerg-3305	394	6	ζ1(x1	ζ1(x1	PROPN
fuelectenerg-3305	394	7	,	,	PUNCT
fuelectenerg-3305	394	8	·	·	PUNCT
fuelectenerg-3305	394	9	·	·	PUNCT
fuelectenerg-3305	394	10	·	·	PUNCT
fuelectenerg-3305	394	11	,	,	PUNCT
fuelectenerg-3305	394	12	x5	x5	PROPN
fuelectenerg-3305	394	13	)	)	PUNCT
fuelectenerg-3305	394	14	=	=	SYM
fuelectenerg-3305	395	1	x1x2	x1x2	PROPN
fuelectenerg-3305	395	2	⊕	⊕	PROPN
fuelectenerg-3305	395	3	x3x4	x3x4	PROPN
fuelectenerg-3305	395	4	.	.	PROPN
fuelectenerg-3305	395	5	•	•	NUM
fuelectenerg-3305	395	6	permutation	permutation	NOUN
fuelectenerg-3305	395	7	of	of	ADP
fuelectenerg-3305	395	8	x2	x2	PROPN
fuelectenerg-3305	395	9	and	and	CCONJ
fuelectenerg-3305	395	10	x3	x3	ADJ
fuelectenerg-3305	395	11	in	in	ADP
fuelectenerg-3305	395	12	ζ1	ζ1	PROPN
fuelectenerg-3305	395	13	produces	produce	VERB
fuelectenerg-3305	395	14	the	the	DET
fuelectenerg-3305	395	15	function	function	NOUN
fuelectenerg-3305	395	16	ζ2(x1	ζ2(x1	NOUN
fuelectenerg-3305	395	17	,	,	PUNCT
fuelectenerg-3305	395	18	·	·	PUNCT
fuelectenerg-3305	395	19	·	·	PUNCT
fuelectenerg-3305	395	20	·	·	PUNCT
fuelectenerg-3305	395	21	,	,	PUNCT
fuelectenerg-3305	395	22	x5	x5	PROPN
fuelectenerg-3305	395	23	)	)	PUNCT
fuelectenerg-3305	395	24	=	=	PUNCT
fuelectenerg-3305	396	1	x1x3	x1x3	PROPN
fuelectenerg-3305	396	2	⊕	⊕	PROPN
fuelectenerg-3305	396	3	x2x4	x2x4	PROPN
fuelectenerg-3305	396	4	.	.	PROPN
fuelectenerg-3305	396	5	•	•	NUM
fuelectenerg-3305	396	6	adding	add	VERB
fuelectenerg-3305	396	7	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	396	8	and	and	CCONJ
fuelectenerg-3305	396	9	x3x4x̄5	x3x4x̄5	PROPN
fuelectenerg-3305	396	10	according	accord	VERB
fuelectenerg-3305	396	11	to	to	ADP
fuelectenerg-3305	396	12	the	the	DET
fuelectenerg-3305	396	13	new	new	ADJ
fuelectenerg-3305	396	14	invariant	invariant	ADJ
fuelectenerg-3305	396	15	operation	operation	NOUN
fuelectenerg-3305	396	16	produces	produce	VERB
fuelectenerg-3305	396	17	the	the	DET
fuelectenerg-3305	396	18	function	function	NOUN
fuelectenerg-3305	396	19	ζ3(x1	ζ3(x1	ADJ
fuelectenerg-3305	396	20	,	,	PUNCT
fuelectenerg-3305	396	21	·	·	PUNCT
fuelectenerg-3305	396	22	·	·	PUNCT
fuelectenerg-3305	396	23	·	·	PUNCT
fuelectenerg-3305	396	24	,	,	PUNCT
fuelectenerg-3305	396	25	x5	x5	PROPN
fuelectenerg-3305	396	26	)	)	PUNCT
fuelectenerg-3305	397	1	=	=	SYM
fuelectenerg-3305	397	2	x1x3⊕x2x4⊕x1x2x5⊕x3x4x5⊕	x1x3⊕x2x4⊕x1x2x5⊕x3x4x5⊕	NUM
fuelectenerg-3305	398	1	x3x4	x3x4	PROPN
fuelectenerg-3305	398	2	.	.	NOUN
fuelectenerg-3305	398	3	•	•	NUM
fuelectenerg-3305	398	4	replacing	replace	VERB
fuelectenerg-3305	398	5	x5	x5	NOUN
fuelectenerg-3305	398	6	with	with	ADP
fuelectenerg-3305	398	7	x5	x5	PROPN
fuelectenerg-3305	398	8	⊕	⊕	PROPN
fuelectenerg-3305	398	9	x4	x4	PROPN
fuelectenerg-3305	398	10	produces	produce	VERB
fuelectenerg-3305	398	11	the	the	DET
fuelectenerg-3305	398	12	function	function	NOUN
fuelectenerg-3305	398	13	ζ4(x1	ζ4(x1	NOUN
fuelectenerg-3305	398	14	,	,	PUNCT
fuelectenerg-3305	398	15	·	·	PUNCT
fuelectenerg-3305	398	16	·	·	PUNCT
fuelectenerg-3305	398	17	·	·	PUNCT
fuelectenerg-3305	398	18	,	,	PUNCT
fuelectenerg-3305	398	19	x5	x5	PROPN
fuelectenerg-3305	398	20	)	)	PUNCT
fuelectenerg-3305	398	21	=	=	PUNCT
fuelectenerg-3305	399	1	x1x3	x1x3	PROPN
fuelectenerg-3305	399	2	⊕	⊕	PROPN
fuelectenerg-3305	399	3	x2x4	x2x4	PUNCT
fuelectenerg-3305	400	1	⊕	⊕	PROPN
fuelectenerg-3305	400	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	400	3	⊕	⊕	PROPN
fuelectenerg-3305	400	4	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	400	5	⊕	⊕	PROPN
fuelectenerg-3305	400	6	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	400	7	.	.	PUNCT
fuelectenerg-3305	401	1	•	•	NUM
fuelectenerg-3305	401	2	replacing	replace	VERB
fuelectenerg-3305	401	3	x5	x5	NOUN
fuelectenerg-3305	401	4	with	with	ADP
fuelectenerg-3305	401	5	x5	x5	PROPN
fuelectenerg-3305	401	6	⊕	⊕	PROPN
fuelectenerg-3305	401	7	x3	x3	VERB
fuelectenerg-3305	401	8	in	in	ADP
fuelectenerg-3305	401	9	ζ4	ζ4	PROPN
fuelectenerg-3305	401	10	produces	produce	VERB
fuelectenerg-3305	401	11	the	the	DET
fuelectenerg-3305	401	12	function	function	NOUN
fuelectenerg-3305	401	13	φ2	φ2	NOUN
fuelectenerg-3305	401	14	=	=	PRON
fuelectenerg-3305	402	1	x1x3	x1x3	PROPN
fuelectenerg-3305	402	2	⊕	⊕	PROPN
fuelectenerg-3305	402	3	x2x4	x2x4	PUNCT
fuelectenerg-3305	403	1	⊕	⊕	PROPN
fuelectenerg-3305	403	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	403	3	⊕	⊕	PROPN
fuelectenerg-3305	403	4	x1x2x3	x1x2x3	PROPN
fuelectenerg-3305	403	5	⊕	⊕	PROPN
fuelectenerg-3305	403	6	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	403	7	⊕	⊕	PROPN
fuelectenerg-3305	403	8	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	403	9	⊕	⊕	PROPN
fuelectenerg-3305	403	10	x3x4	x3x4	PROPN
fuelectenerg-3305	403	11	.	.	PROPN
fuelectenerg-3305	403	12	5	5	NUM
fuelectenerg-3305	403	13	consideration	consideration	NOUN
fuelectenerg-3305	403	14	of	of	ADP
fuelectenerg-3305	403	15	other	other	ADJ
fuelectenerg-3305	403	16	classes	class	NOUN
fuelectenerg-3305	403	17	it	it	PRON
fuelectenerg-3305	403	18	is	be	AUX
fuelectenerg-3305	403	19	possible	possible	ADJ
fuelectenerg-3305	403	20	to	to	PART
fuelectenerg-3305	403	21	repeat	repeat	VERB
fuelectenerg-3305	403	22	the	the	DET
fuelectenerg-3305	403	23	considerations	consideration	NOUN
fuelectenerg-3305	403	24	for	for	ADP
fuelectenerg-3305	403	25	three	three	NUM
fuelectenerg-3305	403	26	classes	class	NOUN
fuelectenerg-3305	403	27	45a	45a	NOUN
fuelectenerg-3305	403	28	,	,	PUNCT
fuelectenerg-3305	403	29	45b	45b	NOUN
fuelectenerg-3305	403	30	,	,	PUNCT
fuelectenerg-3305	403	31	and	and	CCONJ
fuelectenerg-3305	403	32	47	47	NUM
fuelectenerg-3305	403	33	,	,	PUNCT
fuelectenerg-3305	403	34	to	to	ADP
fuelectenerg-3305	403	35	all	all	DET
fuelectenerg-3305	403	36	other	other	ADJ
fuelectenerg-3305	403	37	classes	class	NOUN
fuelectenerg-3305	403	38	in	in	ADP
fuelectenerg-3305	403	39	table	table	NOUN
fuelectenerg-3305	403	40	4	4	NUM
fuelectenerg-3305	403	41	.	.	PUNCT
fuelectenerg-3305	404	1	in	in	ADP
fuelectenerg-3305	404	2	all	all	DET
fuelectenerg-3305	404	3	these	these	DET
fuelectenerg-3305	404	4	cases	case	NOUN
fuelectenerg-3305	404	5	it	it	PRON
fuelectenerg-3305	404	6	is	be	AUX
fuelectenerg-3305	404	7	possible	possible	ADJ
fuelectenerg-3305	404	8	to	to	PART
fuelectenerg-3305	404	9	find	find	VERB
fuelectenerg-3305	404	10	a	a	DET
fuelectenerg-3305	404	11	basic	basic	ADJ
fuelectenerg-3305	404	12	function	function	NOUN
fuelectenerg-3305	404	13	from	from	ADP
fuelectenerg-3305	404	14	which	which	PRON
fuelectenerg-3305	404	15	all	all	DET
fuelectenerg-3305	404	16	other	other	ADJ
fuelectenerg-3305	404	17	functions	function	NOUN
fuelectenerg-3305	404	18	from	from	ADP
fuelectenerg-3305	404	19	the	the	DET
fuelectenerg-3305	404	20	class	class	NOUN
fuelectenerg-3305	404	21	considered	consider	VERB
fuelectenerg-3305	404	22	are	be	AUX
fuelectenerg-3305	404	23	generated	generate	VERB
fuelectenerg-3305	404	24	by	by	ADP
fuelectenerg-3305	404	25	the	the	DET
fuelectenerg-3305	404	26	usage	usage	NOUN
fuelectenerg-3305	404	27	of	of	ADP
fuelectenerg-3305	404	28	the	the	DET
fuelectenerg-3305	404	29	five	five	NUM
fuelectenerg-3305	404	30	affine	affine	NOUN
fuelectenerg-3305	404	31	invariant	invariant	ADJ
fuelectenerg-3305	404	32	operation	operation	NOUN
fuelectenerg-3305	404	33	together	together	ADV
fuelectenerg-3305	404	34	with	with	ADP
fuelectenerg-3305	404	35	the	the	DET
fuelectenerg-3305	404	36	new	new	ADJ
fuelectenerg-3305	404	37	invariant	invariant	ADJ
fuelectenerg-3305	404	38	operations	operation	NOUN
fuelectenerg-3305	404	39	,	,	PUNCT
fuelectenerg-3305	404	40	as	as	SCONJ
fuelectenerg-3305	404	41	shown	show	VERB
fuelectenerg-3305	404	42	in	in	ADP
fuelectenerg-3305	404	43	table	table	NOUN
fuelectenerg-3305	404	44	7	7	NUM
fuelectenerg-3305	404	45	.	.	PUNCT
fuelectenerg-3305	405	1	note	note	VERB
fuelectenerg-3305	405	2	that	that	SCONJ
fuelectenerg-3305	405	3	all	all	DET
fuelectenerg-3305	405	4	these	these	DET
fuelectenerg-3305	405	5	basic	basic	ADJ
fuelectenerg-3305	405	6	functions	function	NOUN
fuelectenerg-3305	405	7	have	have	VERB
fuelectenerg-3305	405	8	disjoint	disjoint	NOUN
fuelectenerg-3305	405	9	products	product	NOUN
fuelectenerg-3305	405	10	of	of	ADP
fuelectenerg-3305	405	11	pairs	pair	NOUN
fuelectenerg-3305	405	12	of	of	ADP
fuelectenerg-3305	405	13	variables	variable	NOUN
fuelectenerg-3305	405	14	in	in	ADP
fuelectenerg-3305	405	15	the	the	DET
fuelectenerg-3305	405	16	polynomial	polynomial	ADJ
fuelectenerg-3305	405	17	forms	form	NOUN
fuelectenerg-3305	405	18	.	.	PUNCT
fuelectenerg-3305	406	1	in	in	ADP
fuelectenerg-3305	406	2	the	the	DET
fuelectenerg-3305	406	3	following	following	ADJ
fuelectenerg-3305	406	4	example	example	NOUN
fuelectenerg-3305	406	5	it	it	PRON
fuelectenerg-3305	406	6	will	will	AUX
fuelectenerg-3305	406	7	be	be	AUX
fuelectenerg-3305	406	8	shown	show	VERB
fuelectenerg-3305	406	9	how	how	SCONJ
fuelectenerg-3305	406	10	classes	class	NOUN
fuelectenerg-3305	406	11	34	34	NUM
fuelectenerg-3305	406	12	and	and	CCONJ
fuelectenerg-3305	406	13	37	37	NUM
fuelectenerg-3305	406	14	from	from	ADP
fuelectenerg-3305	406	15	table	table	NOUN
fuelectenerg-3305	406	16	1	1	NUM
fuelectenerg-3305	406	17	are	be	AUX
fuelectenerg-3305	406	18	mutually	mutually	ADV
fuelectenerg-3305	406	19	related	relate	VERB
fuelectenerg-3305	406	20	.	.	PUNCT
fuelectenerg-3305	407	1	example	example	NOUN
fuelectenerg-3305	408	1	3	3	NUM
fuelectenerg-3305	408	2	let	let	VERB
fuelectenerg-3305	408	3	us	we	PRON
fuelectenerg-3305	408	4	start	start	VERB
fuelectenerg-3305	408	5	from	from	ADP
fuelectenerg-3305	408	6	the	the	DET
fuelectenerg-3305	408	7	function	function	NOUN
fuelectenerg-3305	408	8	η1	η1	NOUN
fuelectenerg-3305	408	9	=	=	SYM
fuelectenerg-3305	408	10	x1x2	x1x2	PROPN
fuelectenerg-3305	408	11	⊕	⊕	PROPN
fuelectenerg-3305	408	12	x3x4	x3x4	PROPN
fuelectenerg-3305	408	13	⊕	⊕	PROPN
fuelectenerg-3305	408	14	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	408	15	.	.	PUNCT
fuelectenerg-3305	409	1	an	an	DET
fuelectenerg-3305	409	2	improved	improve	VERB
fuelectenerg-3305	409	3	spectral	spectral	ADJ
fuelectenerg-3305	409	4	classification	classification	NOUN
fuelectenerg-3305	409	5	of	of	ADP
fuelectenerg-3305	409	6	boolean	boolean	ADJ
fuelectenerg-3305	409	7	functions	function	NOUN
fuelectenerg-3305	409	8	...	...	PUNCT
fuelectenerg-3305	409	9	15	15	NUM
fuelectenerg-3305	409	10	the	the	DET
fuelectenerg-3305	409	11	spectrum	spectrum	NOUN
fuelectenerg-3305	409	12	of	of	ADP
fuelectenerg-3305	409	13	this	this	DET
fuelectenerg-3305	409	14	function	function	NOUN
fuelectenerg-3305	409	15	is	be	AUX
fuelectenerg-3305	409	16	sη1	sη1	NOUN
fuelectenerg-3305	409	17	=	=	PUNCT
fuelectenerg-3305	410	1	[	[	X
fuelectenerg-3305	410	2	12,−4	12,−4	NUM
fuelectenerg-3305	410	3	,	,	PUNCT
fuelectenerg-3305	410	4	12,−4	12,−4	NUM
fuelectenerg-3305	410	5	,	,	PUNCT
fuelectenerg-3305	410	6	12,−4,−12	12,−4,−12	NUM
fuelectenerg-3305	410	7	,	,	PUNCT
fuelectenerg-3305	410	8	4	4	NUM
fuelectenerg-3305	410	9	,	,	PUNCT
fuelectenerg-3305	410	10	4	4	NUM
fuelectenerg-3305	410	11	,	,	PUNCT
fuelectenerg-3305	410	12	4	4	NUM
fuelectenerg-3305	410	13	,	,	PUNCT
fuelectenerg-3305	410	14	4	4	NUM
fuelectenerg-3305	410	15	,	,	PUNCT
fuelectenerg-3305	410	16	4	4	NUM
fuelectenerg-3305	410	17	,	,	PUNCT
fuelectenerg-3305	410	18	4	4	NUM
fuelectenerg-3305	410	19	,	,	PUNCT
fuelectenerg-3305	410	20	4,−4,−4	4,−4,−4	PRON
fuelectenerg-3305	410	21	,	,	PUNCT
fuelectenerg-3305	410	22	4	4	NUM
fuelectenerg-3305	410	23	,	,	PUNCT
fuelectenerg-3305	410	24	4	4	NUM
fuelectenerg-3305	410	25	,	,	PUNCT
fuelectenerg-3305	410	26	4	4	NUM
fuelectenerg-3305	410	27	,	,	PUNCT
fuelectenerg-3305	410	28	4	4	NUM
fuelectenerg-3305	410	29	,	,	PUNCT
fuelectenerg-3305	410	30	4	4	NUM
fuelectenerg-3305	410	31	,	,	PUNCT
fuelectenerg-3305	410	32	4,−4,−4,−4,−4,−4,−4,−4,−4	4,−4,−4,−4,−4,−4,−4,−4,−4	NOUN
fuelectenerg-3305	410	33	,	,	PUNCT
fuelectenerg-3305	410	34	4	4	NUM
fuelectenerg-3305	410	35	,	,	PUNCT
fuelectenerg-3305	410	36	4]t	4]t	NOUN
fuelectenerg-3305	410	37	,	,	PUNCT
fuelectenerg-3305	410	38	the	the	DET
fuelectenerg-3305	410	39	characteristic	characteristic	ADJ
fuelectenerg-3305	410	40	vector	vector	NOUN
fuelectenerg-3305	410	41	of	of	ADP
fuelectenerg-3305	410	42	the	the	DET
fuelectenerg-3305	410	43	function	function	NOUN
fuelectenerg-3305	410	44	η1	η1	NOUN
fuelectenerg-3305	410	45	is	be	AUX
fuelectenerg-3305	410	46	(	(	PUNCT
fuelectenerg-3305	410	47	12	12	NUM
fuelectenerg-3305	410	48	,	,	PUNCT
fuelectenerg-3305	410	49	12	12	NUM
fuelectenerg-3305	410	50	,	,	PUNCT
fuelectenerg-3305	410	51	12	12	NUM
fuelectenerg-3305	410	52	,	,	PUNCT
fuelectenerg-3305	410	53	4	4	NUM
fuelectenerg-3305	410	54	,	,	PUNCT
fuelectenerg-3305	410	55	4	4	NUM
fuelectenerg-3305	410	56	,	,	PUNCT
fuelectenerg-3305	410	57	4	4	NUM
fuelectenerg-3305	410	58	)	)	PUNCT
fuelectenerg-3305	410	59	which	which	PRON
fuelectenerg-3305	410	60	means	mean	VERB
fuelectenerg-3305	410	61	that	that	SCONJ
fuelectenerg-3305	410	62	it	it	PRON
fuelectenerg-3305	410	63	belongs	belong	VERB
fuelectenerg-3305	410	64	to	to	ADP
fuelectenerg-3305	410	65	the	the	DET
fuelectenerg-3305	410	66	class	class	NOUN
fuelectenerg-3305	410	67	37	37	NUM
fuelectenerg-3305	410	68	.	.	PUNCT
fuelectenerg-3305	410	69	by	by	ADP
fuelectenerg-3305	410	70	adding	add	VERB
fuelectenerg-3305	410	71	x1x3x̄5	x1x3x̄5	PROPN
fuelectenerg-3305	410	72	and	and	CCONJ
fuelectenerg-3305	410	73	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	410	74	according	accord	VERB
fuelectenerg-3305	410	75	to	to	ADP
fuelectenerg-3305	410	76	the	the	DET
fuelectenerg-3305	410	77	new	new	ADJ
fuelectenerg-3305	410	78	invariant	invariant	ADJ
fuelectenerg-3305	410	79	operation	operation	NOUN
fuelectenerg-3305	410	80	,	,	PUNCT
fuelectenerg-3305	410	81	we	we	PRON
fuelectenerg-3305	410	82	have	have	VERB
fuelectenerg-3305	410	83	the	the	DET
fuelectenerg-3305	410	84	function	function	NOUN
fuelectenerg-3305	410	85	η2	η2	PUNCT
fuelectenerg-3305	410	86	=	=	SYM
fuelectenerg-3305	410	87	x1x2	x1x2	PROPN
fuelectenerg-3305	410	88	⊕	⊕	PROPN
fuelectenerg-3305	410	89	x3x4	x3x4	PROPN
fuelectenerg-3305	411	1	⊕	⊕	PROPN
fuelectenerg-3305	411	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	411	3	⊕	⊕	PROPN
fuelectenerg-3305	411	4	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	411	5	⊕	⊕	PROPN
fuelectenerg-3305	411	6	x1x3	x1x3	PROPN
fuelectenerg-3305	411	7	⊕	⊕	PROPN
fuelectenerg-3305	411	8	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	411	9	,	,	PUNCT
fuelectenerg-3305	411	10	with	with	ADP
fuelectenerg-3305	411	11	the	the	DET
fuelectenerg-3305	411	12	spectrum	spectrum	NOUN
fuelectenerg-3305	411	13	sη2	sη2	NOUN
fuelectenerg-3305	412	1	=	=	PUNCT
fuelectenerg-3305	412	2	[	[	X
fuelectenerg-3305	412	3	12,−4	12,−4	NUM
fuelectenerg-3305	412	4	,	,	PUNCT
fuelectenerg-3305	412	5	12,−4	12,−4	NUM
fuelectenerg-3305	412	6	,	,	PUNCT
fuelectenerg-3305	412	7	4	4	NUM
fuelectenerg-3305	412	8	,	,	PUNCT
fuelectenerg-3305	412	9	4,−4,−4	4,−4,−4	PRON
fuelectenerg-3305	412	10	,	,	PUNCT
fuelectenerg-3305	412	11	4	4	NUM
fuelectenerg-3305	412	12	,	,	PUNCT
fuelectenerg-3305	412	13	4,−4,−4	4,−4,−4	NUM
fuelectenerg-3305	412	14	,	,	PUNCT
fuelectenerg-3305	412	15	12,−4,−4	12,−4,−4	ADV
fuelectenerg-3305	412	16	,	,	PUNCT
fuelectenerg-3305	412	17	12	12	NUM
fuelectenerg-3305	412	18	,	,	PUNCT
fuelectenerg-3305	412	19	4	4	NUM
fuelectenerg-3305	412	20	,	,	PUNCT
fuelectenerg-3305	412	21	4	4	NUM
fuelectenerg-3305	412	22	,	,	PUNCT
fuelectenerg-3305	412	23	4	4	NUM
fuelectenerg-3305	412	24	,	,	PUNCT
fuelectenerg-3305	412	25	4	4	NUM
fuelectenerg-3305	412	26	,	,	PUNCT
fuelectenerg-3305	412	27	4	4	NUM
fuelectenerg-3305	412	28	,	,	PUNCT
fuelectenerg-3305	412	29	4,−4,−4,−4,−4	4,−4,−4,−4,−4	NUM
fuelectenerg-3305	412	30	,	,	PUNCT
fuelectenerg-3305	412	31	4	4	NUM
fuelectenerg-3305	412	32	,	,	PUNCT
fuelectenerg-3305	412	33	4,−4,−4,−4,−4]t	4,−4,−4,−4,−4]t	NOUN
fuelectenerg-3305	412	34	.	.	PUNCT
fuelectenerg-3305	413	1	by	by	ADP
fuelectenerg-3305	413	2	replacing	replace	VERB
fuelectenerg-3305	413	3	x2	x2	PROPN
fuelectenerg-3305	413	4	with	with	ADP
fuelectenerg-3305	413	5	x2⊕x3	x2⊕x3	PROPN
fuelectenerg-3305	413	6	,	,	PUNCT
fuelectenerg-3305	413	7	the	the	DET
fuelectenerg-3305	413	8	function	function	NOUN
fuelectenerg-3305	413	9	η2	η2	PROPN
fuelectenerg-3305	413	10	is	be	AUX
fuelectenerg-3305	413	11	transformed	transform	VERB
fuelectenerg-3305	413	12	into	into	ADP
fuelectenerg-3305	413	13	the	the	DET
fuelectenerg-3305	413	14	function	function	NOUN
fuelectenerg-3305	413	15	η3	η3	NOUN
fuelectenerg-3305	413	16	=	=	PUNCT
fuelectenerg-3305	413	17	x1x2	x1x2	PROPN
fuelectenerg-3305	413	18	⊕	⊕	PROPN
fuelectenerg-3305	413	19	x3x4	x3x4	PROPN
fuelectenerg-3305	414	1	⊕	⊕	PROPN
fuelectenerg-3305	414	2	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	414	3	⊕	⊕	PROPN
fuelectenerg-3305	414	4	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	414	5	⊕	⊕	PROPN
fuelectenerg-3305	414	6	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	414	7	with	with	ADP
fuelectenerg-3305	414	8	the	the	DET
fuelectenerg-3305	414	9	spectrum	spectrum	NOUN
fuelectenerg-3305	414	10	sη3	sη3	NOUN
fuelectenerg-3305	414	11	=	=	PUNCT
fuelectenerg-3305	415	1	[	[	X
fuelectenerg-3305	415	2	12,−4	12,−4	NUM
fuelectenerg-3305	415	3	,	,	PUNCT
fuelectenerg-3305	415	4	12,−4	12,−4	NUM
fuelectenerg-3305	415	5	,	,	PUNCT
fuelectenerg-3305	415	6	4	4	NUM
fuelectenerg-3305	415	7	,	,	PUNCT
fuelectenerg-3305	415	8	4,−4,−4	4,−4,−4	NUM
fuelectenerg-3305	415	9	,	,	PUNCT
fuelectenerg-3305	415	10	12,−4,−4	12,−4,−4	ADV
fuelectenerg-3305	415	11	,	,	PUNCT
fuelectenerg-3305	415	12	12	12	NUM
fuelectenerg-3305	415	13	,	,	PUNCT
fuelectenerg-3305	415	14	4	4	NUM
fuelectenerg-3305	415	15	,	,	PUNCT
fuelectenerg-3305	415	16	4,−4,−4	4,−4,−4	PRON
fuelectenerg-3305	415	17	,	,	PUNCT
fuelectenerg-3305	415	18	4	4	NUM
fuelectenerg-3305	415	19	,	,	PUNCT
fuelectenerg-3305	415	20	4	4	NUM
fuelectenerg-3305	415	21	,	,	PUNCT
fuelectenerg-3305	415	22	4	4	NUM
fuelectenerg-3305	415	23	,	,	PUNCT
fuelectenerg-3305	415	24	4	4	NUM
fuelectenerg-3305	415	25	,	,	PUNCT
fuelectenerg-3305	415	26	4	4	NUM
fuelectenerg-3305	415	27	,	,	PUNCT
fuelectenerg-3305	415	28	4,−4,−4,−4,−4,−4,−4,−4,−4	4,−4,−4,−4,−4,−4,−4,−4,−4	NOUN
fuelectenerg-3305	415	29	,	,	PUNCT
fuelectenerg-3305	415	30	4	4	NUM
fuelectenerg-3305	415	31	,	,	PUNCT
fuelectenerg-3305	415	32	4]t	4]t	NOUN
fuelectenerg-3305	415	33	.	.	PUNCT
fuelectenerg-3305	416	1	after	after	ADP
fuelectenerg-3305	416	2	the	the	DET
fuelectenerg-3305	416	3	replacement	replacement	NOUN
fuelectenerg-3305	416	4	of	of	ADP
fuelectenerg-3305	416	5	x5	x5	PROPN
fuelectenerg-3305	416	6	with	with	ADP
fuelectenerg-3305	416	7	x5	x5	PROPN
fuelectenerg-3305	416	8	⊕	⊕	PROPN
fuelectenerg-3305	416	9	x2	x2	PROPN
fuelectenerg-3305	416	10	⊕	⊕	PROPN
fuelectenerg-3305	416	11	x4	x4	PROPN
fuelectenerg-3305	416	12	,	,	PUNCT
fuelectenerg-3305	416	13	the	the	DET
fuelectenerg-3305	416	14	function	function	NOUN
fuelectenerg-3305	416	15	η3	η3	PROPN
fuelectenerg-3305	416	16	is	be	AUX
fuelectenerg-3305	416	17	transformed	transform	VERB
fuelectenerg-3305	416	18	into	into	ADP
fuelectenerg-3305	416	19	the	the	DET
fuelectenerg-3305	416	20	function	function	NOUN
fuelectenerg-3305	417	1	η4	η4	VERB
fuelectenerg-3305	417	2	=	=	SYM
fuelectenerg-3305	417	3	x1x2x5	x1x2x5	PROPN
fuelectenerg-3305	417	4	⊕	⊕	PROPN
fuelectenerg-3305	417	5	x1x2x4	x1x2x4	PROPN
fuelectenerg-3305	417	6	⊕	⊕	PROPN
fuelectenerg-3305	417	7	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	417	8	⊕	⊕	PROPN
fuelectenerg-3305	417	9	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	417	10	⊕	⊕	PROPN
fuelectenerg-3305	417	11	x2x3x4	x2x3x4	VERB
fuelectenerg-3305	417	12	with	with	ADP
fuelectenerg-3305	417	13	the	the	DET
fuelectenerg-3305	417	14	spectrum	spectrum	NOUN
fuelectenerg-3305	417	15	sη4	sη4	NOUN
fuelectenerg-3305	417	16	=	=	PUNCT
fuelectenerg-3305	418	1	[	[	X
fuelectenerg-3305	418	2	12	12	NUM
fuelectenerg-3305	418	3	,	,	PUNCT
fuelectenerg-3305	418	4	12	12	NUM
fuelectenerg-3305	418	5	,	,	PUNCT
fuelectenerg-3305	418	6	12,−4	12,−4	NUM
fuelectenerg-3305	418	7	,	,	PUNCT
fuelectenerg-3305	418	8	4,−4,−4	4,−4,−4	NUM
fuelectenerg-3305	418	9	,	,	PUNCT
fuelectenerg-3305	418	10	4	4	NUM
fuelectenerg-3305	418	11	,	,	PUNCT
fuelectenerg-3305	418	12	12,−4,−4,−4	12,−4,−4,−4	NUM
fuelectenerg-3305	418	13	,	,	PUNCT
fuelectenerg-3305	418	14	4,−4,−4	4,−4,−4	NUM
fuelectenerg-3305	418	15	,	,	PUNCT
fuelectenerg-3305	418	16	4	4	NUM
fuelectenerg-3305	418	17	,	,	PUNCT
fuelectenerg-3305	418	18	4,−4	4,−4	PROPN
fuelectenerg-3305	418	19	,	,	PUNCT
fuelectenerg-3305	418	20	4,−4	4,−4	PROPN
fuelectenerg-3305	418	21	,	,	PUNCT
fuelectenerg-3305	418	22	4	4	NUM
fuelectenerg-3305	418	23	,	,	PUNCT
fuelectenerg-3305	418	24	4,−4,−4,−4	4,−4,−4,−4	NOUN
fuelectenerg-3305	418	25	,	,	PUNCT
fuelectenerg-3305	418	26	4,−4	4,−4	NUM
fuelectenerg-3305	418	27	,	,	PUNCT
fuelectenerg-3305	418	28	4,−4,−4	4,−4,−4	PRON
fuelectenerg-3305	418	29	,	,	PUNCT
fuelectenerg-3305	418	30	4	4	NUM
fuelectenerg-3305	418	31	,	,	PUNCT
fuelectenerg-3305	418	32	4]t	4]t	NOUN
fuelectenerg-3305	418	33	.	.	PUNCT
fuelectenerg-3305	419	1	finally	finally	ADV
fuelectenerg-3305	419	2	,	,	PUNCT
fuelectenerg-3305	419	3	after	after	ADP
fuelectenerg-3305	419	4	permutation	permutation	NOUN
fuelectenerg-3305	419	5	of	of	ADP
fuelectenerg-3305	419	6	variables	variable	NOUN
fuelectenerg-3305	419	7	x2	x2	PROPN
fuelectenerg-3305	419	8	and	and	CCONJ
fuelectenerg-3305	419	9	x3	x3	VERB
fuelectenerg-3305	419	10	the	the	DET
fuelectenerg-3305	419	11	function	function	NOUN
fuelectenerg-3305	419	12	η4	η4	VERB
fuelectenerg-3305	419	13	will	will	AUX
fuelectenerg-3305	419	14	be	be	AUX
fuelectenerg-3305	419	15	transformed	transform	VERB
fuelectenerg-3305	419	16	into	into	ADP
fuelectenerg-3305	419	17	the	the	DET
fuelectenerg-3305	419	18	function	function	NOUN
fuelectenerg-3305	419	19	η5	η5	NOUN
fuelectenerg-3305	419	20	=	=	SYM
fuelectenerg-3305	419	21	x1x3x5	x1x3x5	PROPN
fuelectenerg-3305	419	22	⊕	⊕	PROPN
fuelectenerg-3305	419	23	x1x3x4	x1x3x4	PROPN
fuelectenerg-3305	420	1	⊕	⊕	PROPN
fuelectenerg-3305	420	2	x3x4x5	x3x4x5	PROPN
fuelectenerg-3305	421	1	⊕	⊕	PROPN
fuelectenerg-3305	421	2	x2x4x5	x2x4x5	PROPN
fuelectenerg-3305	421	3	⊕	⊕	PROPN
fuelectenerg-3305	421	4	x2x3x4	x2x3x4	VERB
fuelectenerg-3305	421	5	with	with	ADP
fuelectenerg-3305	421	6	the	the	DET
fuelectenerg-3305	421	7	spectrum	spectrum	NOUN
fuelectenerg-3305	421	8	sη5	sη5	NOUN
fuelectenerg-3305	422	1	=	=	PUNCT
fuelectenerg-3305	423	1	[	[	X
fuelectenerg-3305	423	2	12	12	NUM
fuelectenerg-3305	423	3	,	,	PUNCT
fuelectenerg-3305	423	4	12	12	NUM
fuelectenerg-3305	423	5	,	,	PUNCT
fuelectenerg-3305	423	6	12,−4	12,−4	NUM
fuelectenerg-3305	423	7	,	,	PUNCT
fuelectenerg-3305	423	8	12,−4,−4,−4	12,−4,−4,−4	NUM
fuelectenerg-3305	423	9	,	,	PUNCT
fuelectenerg-3305	423	10	4,−4,−4	4,−4,−4	NUM
fuelectenerg-3305	423	11	,	,	PUNCT
fuelectenerg-3305	423	12	4	4	NUM
fuelectenerg-3305	423	13	,	,	PUNCT
fuelectenerg-3305	423	14	4,−4,−4	4,−4,−4	PRON
fuelectenerg-3305	423	15	,	,	PUNCT
fuelectenerg-3305	423	16	4	4	NUM
fuelectenerg-3305	423	17	,	,	PUNCT
fuelectenerg-3305	423	18	4,−4	4,−4	NUM
fuelectenerg-3305	423	19	,	,	PUNCT
fuelectenerg-3305	423	20	4,−4,−4	4,−4,−4	PRON
fuelectenerg-3305	423	21	,	,	PUNCT
fuelectenerg-3305	423	22	4,−4	4,−4	PROPN
fuelectenerg-3305	423	23	,	,	PUNCT
fuelectenerg-3305	423	24	4	4	NUM
fuelectenerg-3305	423	25	,	,	PUNCT
fuelectenerg-3305	423	26	4	4	NUM
fuelectenerg-3305	423	27	,	,	PUNCT
fuelectenerg-3305	423	28	4,−4,−4,−4,−4	4,−4,−4,−4,−4	NUM
fuelectenerg-3305	423	29	,	,	PUNCT
fuelectenerg-3305	423	30	4	4	NUM
fuelectenerg-3305	423	31	,	,	PUNCT
fuelectenerg-3305	423	32	4]t	4]t	NOUN
fuelectenerg-3305	423	33	.	.	PUNCT
fuelectenerg-3305	424	1	202	202	NUM
fuelectenerg-3305	424	2	m.	m.	NOUN
fuelectenerg-3305	424	3	stanković	stanković	PROPN
fuelectenerg-3305	424	4	,	,	PUNCT
fuelectenerg-3305	424	5	c.	c.	PROPN
fuelectenerg-3305	424	6	moraga	moraga	PROPN
fuelectenerg-3305	424	7	,	,	PUNCT
fuelectenerg-3305	424	8	r.	r.	PROPN
fuelectenerg-3305	424	9	s.	s.	PROPN
fuelectenerg-3305	424	10	stanković	stanković	PROPN
fuelectenerg-3305	424	11	an	an	DET
fuelectenerg-3305	424	12	improved	improved	ADJ
fuelectenerg-3305	424	13	spectral	spectral	ADJ
fuelectenerg-3305	424	14	classification	classification	NOUN
fuelectenerg-3305	424	15	of	of	ADP
fuelectenerg-3305	424	16	boolean	boolean	ADJ
fuelectenerg-3305	424	17	functions	function	NOUN
fuelectenerg-3305	424	18	...	...	PUNCT
fuelectenerg-3305	424	19	203	203	NUM
fuelectenerg-3305	424	20	16	16	NUM
fuelectenerg-3305	424	21	m.	m.	NOUN
fuelectenerg-3305	424	22	stankovic	stankovic	PROPN
fuelectenerg-3305	424	23	,	,	PUNCT
fuelectenerg-3305	424	24	c.	c.	PROPN
fuelectenerg-3305	424	25	moraga	moraga	PROPN
fuelectenerg-3305	424	26	,	,	PUNCT
fuelectenerg-3305	424	27	r.	r.	PROPN
fuelectenerg-3305	424	28	s.	s.	PROPN
fuelectenerg-3305	424	29	stanković	stanković	PROPN
fuelectenerg-3305	425	1	the	the	DET
fuelectenerg-3305	425	2	characteristic	characteristic	ADJ
fuelectenerg-3305	425	3	vector	vector	NOUN
fuelectenerg-3305	425	4	of	of	ADP
fuelectenerg-3305	425	5	the	the	DET
fuelectenerg-3305	425	6	function	function	NOUN
fuelectenerg-3305	425	7	η5	η5	PROPN
fuelectenerg-3305	425	8	is	be	AUX
fuelectenerg-3305	425	9	(	(	PUNCT
fuelectenerg-3305	425	10	12	12	NUM
fuelectenerg-3305	425	11	,	,	PUNCT
fuelectenerg-3305	425	12	12	12	NUM
fuelectenerg-3305	425	13	,	,	PUNCT
fuelectenerg-3305	425	14	12	12	NUM
fuelectenerg-3305	425	15	,	,	PUNCT
fuelectenerg-3305	425	16	12	12	NUM
fuelectenerg-3305	425	17	,	,	PUNCT
fuelectenerg-3305	425	18	4	4	NUM
fuelectenerg-3305	425	19	,	,	PUNCT
fuelectenerg-3305	425	20	4	4	NUM
fuelectenerg-3305	425	21	)	)	PUNCT
fuelectenerg-3305	425	22	which	which	PRON
fuelectenerg-3305	425	23	means	mean	VERB
fuelectenerg-3305	425	24	that	that	SCONJ
fuelectenerg-3305	425	25	this	this	DET
fuelectenerg-3305	425	26	function	function	NOUN
fuelectenerg-3305	425	27	belongs	belong	VERB
fuelectenerg-3305	425	28	to	to	ADP
fuelectenerg-3305	425	29	the	the	DET
fuelectenerg-3305	425	30	class	class	NOUN
fuelectenerg-3305	425	31	34	34	NUM
fuelectenerg-3305	425	32	,	,	PUNCT
fuelectenerg-3305	425	33	from	from	ADP
fuelectenerg-3305	425	34	which	which	PRON
fuelectenerg-3305	425	35	it	it	PRON
fuelectenerg-3305	425	36	is	be	AUX
fuelectenerg-3305	425	37	possible	possible	ADJ
fuelectenerg-3305	425	38	to	to	PART
fuelectenerg-3305	425	39	conclude	conclude	VERB
fuelectenerg-3305	425	40	that	that	DET
fuelectenerg-3305	425	41	classes	class	NOUN
fuelectenerg-3305	425	42	34	34	NUM
fuelectenerg-3305	425	43	and	and	CCONJ
fuelectenerg-3305	425	44	37	37	NUM
fuelectenerg-3305	425	45	are	be	AUX
fuelectenerg-3305	425	46	subclasses	subclass	NOUN
fuelectenerg-3305	425	47	of	of	ADP
fuelectenerg-3305	425	48	a	a	DET
fuelectenerg-3305	425	49	single	single	ADJ
fuelectenerg-3305	425	50	class	class	NOUN
fuelectenerg-3305	425	51	.	.	PUNCT
fuelectenerg-3305	426	1	it	it	PRON
fuelectenerg-3305	426	2	is	be	AUX
fuelectenerg-3305	426	3	possible	possible	ADJ
fuelectenerg-3305	426	4	to	to	PART
fuelectenerg-3305	426	5	generate	generate	VERB
fuelectenerg-3305	426	6	all	all	DET
fuelectenerg-3305	426	7	functions	function	NOUN
fuelectenerg-3305	426	8	from	from	ADP
fuelectenerg-3305	426	9	these	these	DET
fuelectenerg-3305	426	10	two	two	NUM
fuelectenerg-3305	426	11	subclasses	subclass	NOUN
fuelectenerg-3305	426	12	from	from	ADP
fuelectenerg-3305	426	13	the	the	DET
fuelectenerg-3305	426	14	function	function	NOUN
fuelectenerg-3305	426	15	η1	η1	NOUN
fuelectenerg-3305	426	16	by	by	ADP
fuelectenerg-3305	426	17	using	use	VERB
fuelectenerg-3305	426	18	the	the	DET
fuelectenerg-3305	426	19	spectral	spectral	ADJ
fuelectenerg-3305	426	20	invariant	invariant	ADJ
fuelectenerg-3305	426	21	operations	operation	NOUN
fuelectenerg-3305	426	22	including	include	VERB
fuelectenerg-3305	426	23	the	the	DET
fuelectenerg-3305	426	24	new	new	ADJ
fuelectenerg-3305	426	25	operation	operation	NOUN
fuelectenerg-3305	426	26	.	.	PUNCT
fuelectenerg-3305	427	1	6	6	NUM
fuelectenerg-3305	427	2	conclusion	conclusion	NOUN
fuelectenerg-3305	427	3	the	the	DET
fuelectenerg-3305	427	4	classification	classification	NOUN
fuelectenerg-3305	427	5	of	of	ADP
fuelectenerg-3305	427	6	boolean	boolean	ADJ
fuelectenerg-3305	427	7	functions	function	NOUN
fuelectenerg-3305	427	8	with	with	ADP
fuelectenerg-3305	427	9	respect	respect	NOUN
fuelectenerg-3305	427	10	to	to	ADP
fuelectenerg-3305	427	11	walsh	walsh	PROPN
fuelectenerg-3305	427	12	spectral	spectral	ADJ
fuelectenerg-3305	427	13	coefficients	coefficient	NOUN
fuelectenerg-3305	427	14	is	be	AUX
fuelectenerg-3305	427	15	reconsidered	reconsider	VERB
fuelectenerg-3305	427	16	.	.	PUNCT
fuelectenerg-3305	428	1	for	for	ADP
fuelectenerg-3305	428	2	this	this	DET
fuelectenerg-3305	428	3	classification	classification	NOUN
fuelectenerg-3305	428	4	,	,	PUNCT
fuelectenerg-3305	428	5	besides	besides	SCONJ
fuelectenerg-3305	428	6	the	the	DET
fuelectenerg-3305	428	7	five	five	NUM
fuelectenerg-3305	428	8	known	know	VERB
fuelectenerg-3305	428	9	invariant	invariant	ADJ
fuelectenerg-3305	428	10	operations	operation	NOUN
fuelectenerg-3305	428	11	,	,	PUNCT
fuelectenerg-3305	428	12	a	a	DET
fuelectenerg-3305	428	13	new	new	ADJ
fuelectenerg-3305	428	14	invariant	invariant	ADJ
fuelectenerg-3305	428	15	operation	operation	NOUN
fuelectenerg-3305	428	16	is	be	AUX
fuelectenerg-3305	428	17	proposed	propose	VERB
fuelectenerg-3305	428	18	.	.	PUNCT
fuelectenerg-3305	429	1	this	this	DET
fuelectenerg-3305	429	2	operation	operation	NOUN
fuelectenerg-3305	429	3	is	be	AUX
fuelectenerg-3305	429	4	defined	define	VERB
fuelectenerg-3305	429	5	for	for	ADP
fuelectenerg-3305	429	6	functions	function	NOUN
fuelectenerg-3305	429	7	with	with	ADP
fuelectenerg-3305	429	8	disjoint	disjoint	NOUN
fuelectenerg-3305	429	9	products	product	NOUN
fuelectenerg-3305	429	10	of	of	ADP
fuelectenerg-3305	429	11	pairs	pair	NOUN
fuelectenerg-3305	429	12	of	of	ADP
fuelectenerg-3305	429	13	variables	variable	NOUN
fuelectenerg-3305	429	14	in	in	ADP
fuelectenerg-3305	429	15	their	their	PRON
fuelectenerg-3305	429	16	reed	reed	NOUN
fuelectenerg-3305	429	17	-	-	PUNCT
fuelectenerg-3305	429	18	muller	muller	NOUN
fuelectenerg-3305	429	19	polynomial	polynomial	ADJ
fuelectenerg-3305	429	20	form	form	NOUN
fuelectenerg-3305	429	21	.	.	PUNCT
fuelectenerg-3305	430	1	by	by	ADP
fuelectenerg-3305	430	2	using	use	VERB
fuelectenerg-3305	430	3	this	this	DET
fuelectenerg-3305	430	4	extended	extend	VERB
fuelectenerg-3305	430	5	set	set	NOUN
fuelectenerg-3305	430	6	of	of	ADP
fuelectenerg-3305	430	7	invariant	invariant	ADJ
fuelectenerg-3305	430	8	operations	operation	NOUN
fuelectenerg-3305	430	9	,	,	PUNCT
fuelectenerg-3305	430	10	it	it	PRON
fuelectenerg-3305	430	11	is	be	AUX
fuelectenerg-3305	430	12	possible	possible	ADJ
fuelectenerg-3305	430	13	to	to	PART
fuelectenerg-3305	430	14	merge	merge	VERB
fuelectenerg-3305	430	15	some	some	DET
fuelectenerg-3305	430	16	classes	class	NOUN
fuelectenerg-3305	430	17	in	in	ADP
fuelectenerg-3305	430	18	the	the	DET
fuelectenerg-3305	430	19	walsh	walsh	NOUN
fuelectenerg-3305	430	20	classification	classification	NOUN
fuelectenerg-3305	430	21	and	and	CCONJ
fuelectenerg-3305	430	22	to	to	PART
fuelectenerg-3305	430	23	reduce	reduce	VERB
fuelectenerg-3305	430	24	the	the	DET
fuelectenerg-3305	430	25	total	total	ADJ
fuelectenerg-3305	430	26	number	number	NOUN
fuelectenerg-3305	430	27	of	of	ADP
fuelectenerg-3305	430	28	classes	class	NOUN
fuelectenerg-3305	430	29	from	from	ADP
fuelectenerg-3305	430	30	48	48	NUM
fuelectenerg-3305	430	31	to	to	PART
fuelectenerg-3305	430	32	40	40	NUM
fuelectenerg-3305	430	33	,	,	PUNCT
fuelectenerg-3305	430	34	for	for	ADP
fuelectenerg-3305	430	35	functions	function	NOUN
fuelectenerg-3305	430	36	with	with	ADP
fuelectenerg-3305	430	37	n	n	DET
fuelectenerg-3305	430	38	≤	≤	NUM
fuelectenerg-3305	430	39	5	5	NUM
fuelectenerg-3305	430	40	input	input	NOUN
fuelectenerg-3305	430	41	variables	variable	NOUN
fuelectenerg-3305	430	42	.	.	PUNCT
fuelectenerg-3305	431	1	since	since	SCONJ
fuelectenerg-3305	431	2	the	the	DET
fuelectenerg-3305	431	3	goal	goal	NOUN
fuelectenerg-3305	431	4	of	of	ADP
fuelectenerg-3305	431	5	the	the	DET
fuelectenerg-3305	431	6	paper	paper	NOUN
fuelectenerg-3305	431	7	was	be	AUX
fuelectenerg-3305	431	8	reduction	reduction	NOUN
fuelectenerg-3305	431	9	of	of	ADP
fuelectenerg-3305	431	10	the	the	DET
fuelectenerg-3305	431	11	number	number	NOUN
fuelectenerg-3305	431	12	of	of	ADP
fuelectenerg-3305	431	13	classes	class	NOUN
fuelectenerg-3305	431	14	in	in	ADP
fuelectenerg-3305	431	15	the	the	DET
fuelectenerg-3305	431	16	walsh	walsh	NOUN
fuelectenerg-3305	431	17	classification	classification	NOUN
fuelectenerg-3305	431	18	for	for	ADP
fuelectenerg-3305	431	19	functions	function	NOUN
fuelectenerg-3305	431	20	with	with	ADP
fuelectenerg-3305	431	21	n	n	DET
fuelectenerg-3305	431	22	≤	≤	NUM
fuelectenerg-3305	431	23	5	5	NUM
fuelectenerg-3305	431	24	,	,	PUNCT
fuelectenerg-3305	431	25	examples	example	NOUN
fuelectenerg-3305	431	26	of	of	ADP
fuelectenerg-3305	431	27	functions	function	NOUN
fuelectenerg-3305	431	28	with	with	ADP
fuelectenerg-3305	431	29	n	n	NOUN
fuelectenerg-3305	431	30	=	=	SYM
fuelectenerg-3305	431	31	5	5	NUM
fuelectenerg-3305	431	32	variables	variable	NOUN
fuelectenerg-3305	431	33	are	be	AUX
fuelectenerg-3305	431	34	considered	consider	VERB
fuelectenerg-3305	431	35	.	.	PUNCT
fuelectenerg-3305	432	1	however	however	ADV
fuelectenerg-3305	432	2	,	,	PUNCT
fuelectenerg-3305	432	3	the	the	DET
fuelectenerg-3305	432	4	introduced	introduce	VERB
fuelectenerg-3305	432	5	spectral	spectral	ADJ
fuelectenerg-3305	432	6	invariant	invariant	ADJ
fuelectenerg-3305	432	7	operations	operation	NOUN
fuelectenerg-3305	432	8	are	be	AUX
fuelectenerg-3305	432	9	valid	valid	ADJ
fuelectenerg-3305	432	10	for	for	ADP
fuelectenerg-3305	432	11	functions	function	NOUN
fuelectenerg-3305	432	12	with	with	ADP
fuelectenerg-3305	432	13	more	more	ADJ
fuelectenerg-3305	432	14	than	than	ADP
fuelectenerg-3305	432	15	5	5	NUM
fuelectenerg-3305	432	16	variables	variable	NOUN
fuelectenerg-3305	432	17	.	.	PUNCT
fuelectenerg-3305	433	1	when	when	SCONJ
fuelectenerg-3305	433	2	the	the	DET
fuelectenerg-3305	433	3	reed	reed	PROPN
fuelectenerg-3305	433	4	-	-	PUNCT
fuelectenerg-3305	433	5	muller	muller	NOUN
fuelectenerg-3305	433	6	polynomial	polynomial	ADJ
fuelectenerg-3305	433	7	form	form	NOUN
fuelectenerg-3305	433	8	of	of	ADP
fuelectenerg-3305	433	9	a	a	DET
fuelectenerg-3305	433	10	given	give	VERB
fuelectenerg-3305	433	11	function	function	NOUN
fuelectenerg-3305	433	12	has	have	VERB
fuelectenerg-3305	433	13	more	more	ADJ
fuelectenerg-3305	433	14	than	than	ADP
fuelectenerg-3305	433	15	two	two	NUM
fuelectenerg-3305	433	16	disjoint	disjoint	NOUN
fuelectenerg-3305	433	17	products	product	NOUN
fuelectenerg-3305	433	18	it	it	PRON
fuelectenerg-3305	433	19	is	be	AUX
fuelectenerg-3305	433	20	possible	possible	ADJ
fuelectenerg-3305	433	21	to	to	PART
fuelectenerg-3305	433	22	add	add	VERB
fuelectenerg-3305	433	23	products	product	NOUN
fuelectenerg-3305	433	24	with	with	ADP
fuelectenerg-3305	433	25	more	more	ADJ
fuelectenerg-3305	433	26	of	of	ADP
fuelectenerg-3305	433	27	three	three	NUM
fuelectenerg-3305	433	28	variables	variable	NOUN
fuelectenerg-3305	433	29	.	.	PUNCT
fuelectenerg-3305	434	1	due	due	ADP
fuelectenerg-3305	434	2	to	to	ADP
fuelectenerg-3305	434	3	that	that	PRON
fuelectenerg-3305	434	4	,	,	PUNCT
fuelectenerg-3305	434	5	the	the	DET
fuelectenerg-3305	434	6	introduced	introduce	VERB
fuelectenerg-3305	434	7	operation	operation	NOUN
fuelectenerg-3305	434	8	can	can	AUX
fuelectenerg-3305	434	9	be	be	AUX
fuelectenerg-3305	434	10	used	use	VERB
fuelectenerg-3305	434	11	to	to	PART
fuelectenerg-3305	434	12	construct	construct	VERB
fuelectenerg-3305	434	13	bent	bent	ADJ
fuelectenerg-3305	434	14	functions	function	NOUN
fuelectenerg-3305	434	15	starting	start	VERB
fuelectenerg-3305	434	16	from	from	ADP
fuelectenerg-3305	434	17	the	the	DET
fuelectenerg-3305	434	18	bent	bent	ADJ
fuelectenerg-3305	434	19	functions	function	NOUN
fuelectenerg-3305	434	20	represented	represent	VERB
fuelectenerg-3305	434	21	by	by	ADP
fuelectenerg-3305	434	22	quadratic	quadratic	ADJ
fuelectenerg-3305	434	23	forms	form	NOUN
fuelectenerg-3305	434	24	.	.	PUNCT
fuelectenerg-3305	435	1	acknowledgments	acknowledgment	NOUN
fuelectenerg-3305	435	2	the	the	DET
fuelectenerg-3305	435	3	work	work	NOUN
fuelectenerg-3305	435	4	leading	lead	VERB
fuelectenerg-3305	435	5	to	to	ADP
fuelectenerg-3305	435	6	this	this	DET
fuelectenerg-3305	435	7	paper	paper	NOUN
fuelectenerg-3305	435	8	was	be	AUX
fuelectenerg-3305	435	9	partially	partially	ADV
fuelectenerg-3305	435	10	supported	support	VERB
fuelectenerg-3305	435	11	by	by	ADP
fuelectenerg-3305	435	12	the	the	DET
fuelectenerg-3305	435	13	ministry	ministry	PROPN
fuelectenerg-3305	435	14	of	of	ADP
fuelectenerg-3305	435	15	education	education	PROPN
fuelectenerg-3305	435	16	,	,	PUNCT
fuelectenerg-3305	435	17	science	science	NOUN
fuelectenerg-3305	435	18	and	and	CCONJ
fuelectenerg-3305	435	19	technological	technological	ADJ
fuelectenerg-3305	435	20	development	development	NOUN
fuelectenerg-3305	435	21	,	,	PUNCT
fuelectenerg-3305	435	22	republic	republic	NOUN
fuelectenerg-3305	435	23	of	of	ADP
fuelectenerg-3305	435	24	serbia	serbia	PROPN
fuelectenerg-3305	435	25	,	,	PUNCT
fuelectenerg-3305	435	26	project	project	VERB
fuelectenerg-3305	435	27	no	no	DET
fuelectenerg-3305	435	28	oi	oi	ADJ
fuelectenerg-3305	435	29	174026	174026	NUM
fuelectenerg-3305	435	30	.	.	PUNCT
fuelectenerg-3305	436	1	authors	author	NOUN
fuelectenerg-3305	436	2	are	be	AUX
fuelectenerg-3305	436	3	grateful	grateful	ADJ
fuelectenerg-3305	436	4	to	to	ADP
fuelectenerg-3305	436	5	the	the	DET
fuelectenerg-3305	436	6	reviewers	reviewer	NOUN
fuelectenerg-3305	436	7	and	and	CCONJ
fuelectenerg-3305	436	8	the	the	DET
fuelectenerg-3305	436	9	editors	editor	NOUN
fuelectenerg-3305	436	10	of	of	ADP
fuelectenerg-3305	436	11	this	this	DET
fuelectenerg-3305	436	12	special	special	ADJ
fuelectenerg-3305	436	13	issue	issue	NOUN
fuelectenerg-3305	436	14	for	for	ADP
fuelectenerg-3305	436	15	their	their	PRON
fuelectenerg-3305	436	16	constructive	constructive	ADJ
fuelectenerg-3305	436	17	comments	comment	NOUN
fuelectenerg-3305	436	18	that	that	PRON
fuelectenerg-3305	436	19	were	be	AUX
fuelectenerg-3305	436	20	very	very	ADV
fuelectenerg-3305	436	21	useful	useful	ADJ
fuelectenerg-3305	436	22	in	in	ADP
fuelectenerg-3305	436	23	improving	improve	VERB
fuelectenerg-3305	436	24	the	the	DET
fuelectenerg-3305	436	25	presentation	presentation	NOUN
fuelectenerg-3305	436	26	in	in	ADP
fuelectenerg-3305	436	27	the	the	DET
fuelectenerg-3305	436	28	paper	paper	NOUN
fuelectenerg-3305	436	29	.	.	PUNCT
fuelectenerg-3305	437	1	references	reference	NOUN
fuelectenerg-3305	437	2	[	[	X
fuelectenerg-3305	437	3	1	1	NUM
fuelectenerg-3305	437	4	]	]	PUNCT
fuelectenerg-3305	437	5	t.	t.	PROPN
fuelectenerg-3305	437	6	sasao	sasao	PROPN
fuelectenerg-3305	437	7	,	,	PUNCT
fuelectenerg-3305	437	8	switching	switch	VERB
fuelectenerg-3305	437	9	theory	theory	NOUN
fuelectenerg-3305	437	10	for	for	ADP
fuelectenerg-3305	437	11	logic	logic	NOUN
fuelectenerg-3305	437	12	synthesis	synthesis	NOUN
fuelectenerg-3305	437	13	,	,	PUNCT
fuelectenerg-3305	437	14	kluwer	kluwer	NOUN
fuelectenerg-3305	437	15	academic	academic	ADJ
fuelectenerg-3305	437	16	publishers	publisher	NOUN
fuelectenerg-3305	437	17	,	,	PUNCT
fuelectenerg-3305	437	18	1999	1999	NUM
fuelectenerg-3305	437	19	.	.	PUNCT
fuelectenerg-3305	438	1	204	204	NUM
fuelectenerg-3305	438	2	m.	m.	NOUN
fuelectenerg-3305	438	3	stanković	stanković	NOUN
fuelectenerg-3305	438	4	,	,	PUNCT
fuelectenerg-3305	438	5	c.	c.	PROPN
fuelectenerg-3305	438	6	moraga	moraga	PROPN
fuelectenerg-3305	438	7	,	,	PUNCT
fuelectenerg-3305	438	8	r.	r.	PROPN
fuelectenerg-3305	438	9	s.	s.	PROPN
fuelectenerg-3305	438	10	stanković	stanković	PROPN
fuelectenerg-3305	438	11	an	an	DET
fuelectenerg-3305	438	12	improved	improved	ADJ
fuelectenerg-3305	438	13	spectral	spectral	ADJ
fuelectenerg-3305	438	14	classification	classification	NOUN
fuelectenerg-3305	438	15	of	of	ADP
fuelectenerg-3305	438	16	boolean	boolean	ADJ
fuelectenerg-3305	438	17	functions	function	NOUN
fuelectenerg-3305	438	18	...	...	PUNCT
fuelectenerg-3305	438	19	205	205	NUM
fuelectenerg-3305	438	20	16	16	NUM
fuelectenerg-3305	438	21	m.	m.	NOUN
fuelectenerg-3305	438	22	stankovic	stankovic	PROPN
fuelectenerg-3305	438	23	,	,	PUNCT
fuelectenerg-3305	438	24	c.	c.	PROPN
fuelectenerg-3305	438	25	moraga	moraga	PROPN
fuelectenerg-3305	438	26	,	,	PUNCT
fuelectenerg-3305	438	27	r.	r.	PROPN
fuelectenerg-3305	438	28	s.	s.	PROPN
fuelectenerg-3305	438	29	stanković	stanković	PROPN
fuelectenerg-3305	439	1	the	the	DET
fuelectenerg-3305	439	2	characteristic	characteristic	ADJ
fuelectenerg-3305	439	3	vector	vector	NOUN
fuelectenerg-3305	439	4	of	of	ADP
fuelectenerg-3305	439	5	the	the	DET
fuelectenerg-3305	439	6	function	function	NOUN
fuelectenerg-3305	439	7	η5	η5	PROPN
fuelectenerg-3305	439	8	is	be	AUX
fuelectenerg-3305	439	9	(	(	PUNCT
fuelectenerg-3305	439	10	12	12	NUM
fuelectenerg-3305	439	11	,	,	PUNCT
fuelectenerg-3305	439	12	12	12	NUM
fuelectenerg-3305	439	13	,	,	PUNCT
fuelectenerg-3305	439	14	12	12	NUM
fuelectenerg-3305	439	15	,	,	PUNCT
fuelectenerg-3305	439	16	12	12	NUM
fuelectenerg-3305	439	17	,	,	PUNCT
fuelectenerg-3305	439	18	4	4	NUM
fuelectenerg-3305	439	19	,	,	PUNCT
fuelectenerg-3305	439	20	4	4	NUM
fuelectenerg-3305	439	21	)	)	PUNCT
fuelectenerg-3305	439	22	which	which	PRON
fuelectenerg-3305	439	23	means	mean	VERB
fuelectenerg-3305	439	24	that	that	SCONJ
fuelectenerg-3305	439	25	this	this	DET
fuelectenerg-3305	439	26	function	function	NOUN
fuelectenerg-3305	439	27	belongs	belong	VERB
fuelectenerg-3305	439	28	to	to	ADP
fuelectenerg-3305	439	29	the	the	DET
fuelectenerg-3305	439	30	class	class	NOUN
fuelectenerg-3305	439	31	34	34	NUM
fuelectenerg-3305	439	32	,	,	PUNCT
fuelectenerg-3305	439	33	from	from	ADP
fuelectenerg-3305	439	34	which	which	PRON
fuelectenerg-3305	439	35	it	it	PRON
fuelectenerg-3305	439	36	is	be	AUX
fuelectenerg-3305	439	37	possible	possible	ADJ
fuelectenerg-3305	439	38	to	to	PART
fuelectenerg-3305	439	39	conclude	conclude	VERB
fuelectenerg-3305	439	40	that	that	DET
fuelectenerg-3305	439	41	classes	class	NOUN
fuelectenerg-3305	439	42	34	34	NUM
fuelectenerg-3305	439	43	and	and	CCONJ
fuelectenerg-3305	439	44	37	37	NUM
fuelectenerg-3305	439	45	are	be	AUX
fuelectenerg-3305	439	46	subclasses	subclass	NOUN
fuelectenerg-3305	439	47	of	of	ADP
fuelectenerg-3305	439	48	a	a	DET
fuelectenerg-3305	439	49	single	single	ADJ
fuelectenerg-3305	439	50	class	class	NOUN
fuelectenerg-3305	439	51	.	.	PUNCT
fuelectenerg-3305	440	1	it	it	PRON
fuelectenerg-3305	440	2	is	be	AUX
fuelectenerg-3305	440	3	possible	possible	ADJ
fuelectenerg-3305	440	4	to	to	PART
fuelectenerg-3305	440	5	generate	generate	VERB
fuelectenerg-3305	440	6	all	all	DET
fuelectenerg-3305	440	7	functions	function	NOUN
fuelectenerg-3305	440	8	from	from	ADP
fuelectenerg-3305	440	9	these	these	DET
fuelectenerg-3305	440	10	two	two	NUM
fuelectenerg-3305	440	11	subclasses	subclass	NOUN
fuelectenerg-3305	440	12	from	from	ADP
fuelectenerg-3305	440	13	the	the	DET
fuelectenerg-3305	440	14	function	function	NOUN
fuelectenerg-3305	440	15	η1	η1	NOUN
fuelectenerg-3305	440	16	by	by	ADP
fuelectenerg-3305	440	17	using	use	VERB
fuelectenerg-3305	440	18	the	the	DET
fuelectenerg-3305	440	19	spectral	spectral	ADJ
fuelectenerg-3305	440	20	invariant	invariant	ADJ
fuelectenerg-3305	440	21	operations	operation	NOUN
fuelectenerg-3305	440	22	including	include	VERB
fuelectenerg-3305	440	23	the	the	DET
fuelectenerg-3305	440	24	new	new	ADJ
fuelectenerg-3305	440	25	operation	operation	NOUN
fuelectenerg-3305	440	26	.	.	PUNCT
fuelectenerg-3305	441	1	6	6	NUM
fuelectenerg-3305	441	2	conclusion	conclusion	NOUN
fuelectenerg-3305	441	3	the	the	DET
fuelectenerg-3305	441	4	classification	classification	NOUN
fuelectenerg-3305	441	5	of	of	ADP
fuelectenerg-3305	441	6	boolean	boolean	ADJ
fuelectenerg-3305	441	7	functions	function	NOUN
fuelectenerg-3305	441	8	with	with	ADP
fuelectenerg-3305	441	9	respect	respect	NOUN
fuelectenerg-3305	441	10	to	to	ADP
fuelectenerg-3305	441	11	walsh	walsh	PROPN
fuelectenerg-3305	441	12	spectral	spectral	ADJ
fuelectenerg-3305	441	13	coefficients	coefficient	NOUN
fuelectenerg-3305	441	14	is	be	AUX
fuelectenerg-3305	441	15	reconsidered	reconsider	VERB
fuelectenerg-3305	441	16	.	.	PUNCT
fuelectenerg-3305	442	1	for	for	ADP
fuelectenerg-3305	442	2	this	this	DET
fuelectenerg-3305	442	3	classification	classification	NOUN
fuelectenerg-3305	442	4	,	,	PUNCT
fuelectenerg-3305	442	5	besides	besides	SCONJ
fuelectenerg-3305	442	6	the	the	DET
fuelectenerg-3305	442	7	five	five	NUM
fuelectenerg-3305	442	8	known	know	VERB
fuelectenerg-3305	442	9	invariant	invariant	ADJ
fuelectenerg-3305	442	10	operations	operation	NOUN
fuelectenerg-3305	442	11	,	,	PUNCT
fuelectenerg-3305	442	12	a	a	DET
fuelectenerg-3305	442	13	new	new	ADJ
fuelectenerg-3305	442	14	invariant	invariant	ADJ
fuelectenerg-3305	442	15	operation	operation	NOUN
fuelectenerg-3305	442	16	is	be	AUX
fuelectenerg-3305	442	17	proposed	propose	VERB
fuelectenerg-3305	442	18	.	.	PUNCT
fuelectenerg-3305	443	1	this	this	DET
fuelectenerg-3305	443	2	operation	operation	NOUN
fuelectenerg-3305	443	3	is	be	AUX
fuelectenerg-3305	443	4	defined	define	VERB
fuelectenerg-3305	443	5	for	for	ADP
fuelectenerg-3305	443	6	functions	function	NOUN
fuelectenerg-3305	443	7	with	with	ADP
fuelectenerg-3305	443	8	disjoint	disjoint	NOUN
fuelectenerg-3305	443	9	products	product	NOUN
fuelectenerg-3305	443	10	of	of	ADP
fuelectenerg-3305	443	11	pairs	pair	NOUN
fuelectenerg-3305	443	12	of	of	ADP
fuelectenerg-3305	443	13	variables	variable	NOUN
fuelectenerg-3305	443	14	in	in	ADP
fuelectenerg-3305	443	15	their	their	PRON
fuelectenerg-3305	443	16	reed	reed	NOUN
fuelectenerg-3305	443	17	-	-	PUNCT
fuelectenerg-3305	443	18	muller	muller	NOUN
fuelectenerg-3305	443	19	polynomial	polynomial	ADJ
fuelectenerg-3305	443	20	form	form	NOUN
fuelectenerg-3305	443	21	.	.	PUNCT
fuelectenerg-3305	444	1	by	by	ADP
fuelectenerg-3305	444	2	using	use	VERB
fuelectenerg-3305	444	3	this	this	DET
fuelectenerg-3305	444	4	extended	extend	VERB
fuelectenerg-3305	444	5	set	set	NOUN
fuelectenerg-3305	444	6	of	of	ADP
fuelectenerg-3305	444	7	invariant	invariant	ADJ
fuelectenerg-3305	444	8	operations	operation	NOUN
fuelectenerg-3305	444	9	,	,	PUNCT
fuelectenerg-3305	444	10	it	it	PRON
fuelectenerg-3305	444	11	is	be	AUX
fuelectenerg-3305	444	12	possible	possible	ADJ
fuelectenerg-3305	444	13	to	to	PART
fuelectenerg-3305	444	14	merge	merge	VERB
fuelectenerg-3305	444	15	some	some	DET
fuelectenerg-3305	444	16	classes	class	NOUN
fuelectenerg-3305	444	17	in	in	ADP
fuelectenerg-3305	444	18	the	the	DET
fuelectenerg-3305	444	19	walsh	walsh	NOUN
fuelectenerg-3305	444	20	classification	classification	NOUN
fuelectenerg-3305	444	21	and	and	CCONJ
fuelectenerg-3305	444	22	to	to	PART
fuelectenerg-3305	444	23	reduce	reduce	VERB
fuelectenerg-3305	444	24	the	the	DET
fuelectenerg-3305	444	25	total	total	ADJ
fuelectenerg-3305	444	26	number	number	NOUN
fuelectenerg-3305	444	27	of	of	ADP
fuelectenerg-3305	444	28	classes	class	NOUN
fuelectenerg-3305	444	29	from	from	ADP
fuelectenerg-3305	444	30	48	48	NUM
fuelectenerg-3305	444	31	to	to	PART
fuelectenerg-3305	444	32	40	40	NUM
fuelectenerg-3305	444	33	,	,	PUNCT
fuelectenerg-3305	444	34	for	for	ADP
fuelectenerg-3305	444	35	functions	function	NOUN
fuelectenerg-3305	444	36	with	with	ADP
fuelectenerg-3305	444	37	n	n	DET
fuelectenerg-3305	444	38	≤	≤	NUM
fuelectenerg-3305	444	39	5	5	NUM
fuelectenerg-3305	444	40	input	input	NOUN
fuelectenerg-3305	444	41	variables	variable	NOUN
fuelectenerg-3305	444	42	.	.	PUNCT
fuelectenerg-3305	445	1	since	since	SCONJ
fuelectenerg-3305	445	2	the	the	DET
fuelectenerg-3305	445	3	goal	goal	NOUN
fuelectenerg-3305	445	4	of	of	ADP
fuelectenerg-3305	445	5	the	the	DET
fuelectenerg-3305	445	6	paper	paper	NOUN
fuelectenerg-3305	445	7	was	be	AUX
fuelectenerg-3305	445	8	reduction	reduction	NOUN
fuelectenerg-3305	445	9	of	of	ADP
fuelectenerg-3305	445	10	the	the	DET
fuelectenerg-3305	445	11	number	number	NOUN
fuelectenerg-3305	445	12	of	of	ADP
fuelectenerg-3305	445	13	classes	class	NOUN
fuelectenerg-3305	445	14	in	in	ADP
fuelectenerg-3305	445	15	the	the	DET
fuelectenerg-3305	445	16	walsh	walsh	NOUN
fuelectenerg-3305	445	17	classification	classification	NOUN
fuelectenerg-3305	445	18	for	for	ADP
fuelectenerg-3305	445	19	functions	function	NOUN
fuelectenerg-3305	445	20	with	with	ADP
fuelectenerg-3305	445	21	n	n	DET
fuelectenerg-3305	445	22	≤	≤	NUM
fuelectenerg-3305	445	23	5	5	NUM
fuelectenerg-3305	445	24	,	,	PUNCT
fuelectenerg-3305	445	25	examples	example	NOUN
fuelectenerg-3305	445	26	of	of	ADP
fuelectenerg-3305	445	27	functions	function	NOUN
fuelectenerg-3305	445	28	with	with	ADP
fuelectenerg-3305	445	29	n	n	NOUN
fuelectenerg-3305	445	30	=	=	SYM
fuelectenerg-3305	445	31	5	5	NUM
fuelectenerg-3305	445	32	variables	variable	NOUN
fuelectenerg-3305	445	33	are	be	AUX
fuelectenerg-3305	445	34	considered	consider	VERB
fuelectenerg-3305	445	35	.	.	PUNCT
fuelectenerg-3305	446	1	however	however	ADV
fuelectenerg-3305	446	2	,	,	PUNCT
fuelectenerg-3305	446	3	the	the	DET
fuelectenerg-3305	446	4	introduced	introduce	VERB
fuelectenerg-3305	446	5	spectral	spectral	ADJ
fuelectenerg-3305	446	6	invariant	invariant	ADJ
fuelectenerg-3305	446	7	operations	operation	NOUN
fuelectenerg-3305	446	8	are	be	AUX
fuelectenerg-3305	446	9	valid	valid	ADJ
fuelectenerg-3305	446	10	for	for	ADP
fuelectenerg-3305	446	11	functions	function	NOUN
fuelectenerg-3305	446	12	with	with	ADP
fuelectenerg-3305	446	13	more	more	ADJ
fuelectenerg-3305	446	14	than	than	ADP
fuelectenerg-3305	446	15	5	5	NUM
fuelectenerg-3305	446	16	variables	variable	NOUN
fuelectenerg-3305	446	17	.	.	PUNCT
fuelectenerg-3305	447	1	when	when	SCONJ
fuelectenerg-3305	447	2	the	the	DET
fuelectenerg-3305	447	3	reed	reed	PROPN
fuelectenerg-3305	447	4	-	-	PUNCT
fuelectenerg-3305	447	5	muller	muller	NOUN
fuelectenerg-3305	447	6	polynomial	polynomial	ADJ
fuelectenerg-3305	447	7	form	form	NOUN
fuelectenerg-3305	447	8	of	of	ADP
fuelectenerg-3305	447	9	a	a	DET
fuelectenerg-3305	447	10	given	give	VERB
fuelectenerg-3305	447	11	function	function	NOUN
fuelectenerg-3305	447	12	has	have	VERB
fuelectenerg-3305	447	13	more	more	ADJ
fuelectenerg-3305	447	14	than	than	ADP
fuelectenerg-3305	447	15	two	two	NUM
fuelectenerg-3305	447	16	disjoint	disjoint	NOUN
fuelectenerg-3305	447	17	products	product	NOUN
fuelectenerg-3305	447	18	it	it	PRON
fuelectenerg-3305	447	19	is	be	AUX
fuelectenerg-3305	447	20	possible	possible	ADJ
fuelectenerg-3305	447	21	to	to	PART
fuelectenerg-3305	447	22	add	add	VERB
fuelectenerg-3305	447	23	products	product	NOUN
fuelectenerg-3305	447	24	with	with	ADP
fuelectenerg-3305	447	25	more	more	ADJ
fuelectenerg-3305	447	26	of	of	ADP
fuelectenerg-3305	447	27	three	three	NUM
fuelectenerg-3305	447	28	variables	variable	NOUN
fuelectenerg-3305	447	29	.	.	PUNCT
fuelectenerg-3305	448	1	due	due	ADP
fuelectenerg-3305	448	2	to	to	ADP
fuelectenerg-3305	448	3	that	that	PRON
fuelectenerg-3305	448	4	,	,	PUNCT
fuelectenerg-3305	448	5	the	the	DET
fuelectenerg-3305	448	6	introduced	introduce	VERB
fuelectenerg-3305	448	7	operation	operation	NOUN
fuelectenerg-3305	448	8	can	can	AUX
fuelectenerg-3305	448	9	be	be	AUX
fuelectenerg-3305	448	10	used	use	VERB
fuelectenerg-3305	448	11	to	to	PART
fuelectenerg-3305	448	12	construct	construct	VERB
fuelectenerg-3305	448	13	bent	bent	ADJ
fuelectenerg-3305	448	14	functions	function	NOUN
fuelectenerg-3305	448	15	starting	start	VERB
fuelectenerg-3305	448	16	from	from	ADP
fuelectenerg-3305	448	17	the	the	DET
fuelectenerg-3305	448	18	bent	bent	ADJ
fuelectenerg-3305	448	19	functions	function	NOUN
fuelectenerg-3305	448	20	represented	represent	VERB
fuelectenerg-3305	448	21	by	by	ADP
fuelectenerg-3305	448	22	quadratic	quadratic	ADJ
fuelectenerg-3305	448	23	forms	form	NOUN
fuelectenerg-3305	448	24	.	.	PUNCT
fuelectenerg-3305	449	1	acknowledgments	acknowledgment	NOUN
fuelectenerg-3305	449	2	the	the	DET
fuelectenerg-3305	449	3	work	work	NOUN
fuelectenerg-3305	449	4	leading	lead	VERB
fuelectenerg-3305	449	5	to	to	ADP
fuelectenerg-3305	449	6	this	this	DET
fuelectenerg-3305	449	7	paper	paper	NOUN
fuelectenerg-3305	449	8	was	be	AUX
fuelectenerg-3305	449	9	partially	partially	ADV
fuelectenerg-3305	449	10	supported	support	VERB
fuelectenerg-3305	449	11	by	by	ADP
fuelectenerg-3305	449	12	the	the	DET
fuelectenerg-3305	449	13	ministry	ministry	PROPN
fuelectenerg-3305	449	14	of	of	ADP
fuelectenerg-3305	449	15	education	education	PROPN
fuelectenerg-3305	449	16	,	,	PUNCT
fuelectenerg-3305	449	17	science	science	NOUN
fuelectenerg-3305	449	18	and	and	CCONJ
fuelectenerg-3305	449	19	technological	technological	ADJ
fuelectenerg-3305	449	20	development	development	NOUN
fuelectenerg-3305	449	21	,	,	PUNCT
fuelectenerg-3305	449	22	republic	republic	NOUN
fuelectenerg-3305	449	23	of	of	ADP
fuelectenerg-3305	449	24	serbia	serbia	PROPN
fuelectenerg-3305	449	25	,	,	PUNCT
fuelectenerg-3305	449	26	project	project	VERB
fuelectenerg-3305	449	27	no	no	DET
fuelectenerg-3305	449	28	oi	oi	ADJ
fuelectenerg-3305	449	29	174026	174026	NUM
fuelectenerg-3305	449	30	.	.	PUNCT
fuelectenerg-3305	450	1	authors	author	NOUN
fuelectenerg-3305	450	2	are	be	AUX
fuelectenerg-3305	450	3	grateful	grateful	ADJ
fuelectenerg-3305	450	4	to	to	ADP
fuelectenerg-3305	450	5	the	the	DET
fuelectenerg-3305	450	6	reviewers	reviewer	NOUN
fuelectenerg-3305	450	7	and	and	CCONJ
fuelectenerg-3305	450	8	the	the	DET
fuelectenerg-3305	450	9	editors	editor	NOUN
fuelectenerg-3305	450	10	of	of	ADP
fuelectenerg-3305	450	11	this	this	DET
fuelectenerg-3305	450	12	special	special	ADJ
fuelectenerg-3305	450	13	issue	issue	NOUN
fuelectenerg-3305	450	14	for	for	ADP
fuelectenerg-3305	450	15	their	their	PRON
fuelectenerg-3305	450	16	constructive	constructive	ADJ
fuelectenerg-3305	450	17	comments	comment	NOUN
fuelectenerg-3305	450	18	that	that	PRON
fuelectenerg-3305	450	19	were	be	AUX
fuelectenerg-3305	450	20	very	very	ADV
fuelectenerg-3305	450	21	useful	useful	ADJ
fuelectenerg-3305	450	22	in	in	ADP
fuelectenerg-3305	450	23	improving	improve	VERB
fuelectenerg-3305	450	24	the	the	DET
fuelectenerg-3305	450	25	presentation	presentation	NOUN
fuelectenerg-3305	450	26	in	in	ADP
fuelectenerg-3305	450	27	the	the	DET
fuelectenerg-3305	450	28	paper	paper	NOUN
fuelectenerg-3305	450	29	.	.	PUNCT
fuelectenerg-3305	451	1	references	reference	NOUN
fuelectenerg-3305	451	2	[	[	X
fuelectenerg-3305	451	3	1	1	NUM
fuelectenerg-3305	451	4	]	]	PUNCT
fuelectenerg-3305	451	5	t.	t.	PROPN
fuelectenerg-3305	451	6	sasao	sasao	PROPN
fuelectenerg-3305	451	7	,	,	PUNCT
fuelectenerg-3305	451	8	switching	switch	VERB
fuelectenerg-3305	451	9	theory	theory	NOUN
fuelectenerg-3305	451	10	for	for	ADP
fuelectenerg-3305	451	11	logic	logic	NOUN
fuelectenerg-3305	451	12	synthesis	synthesis	NOUN
fuelectenerg-3305	451	13	,	,	PUNCT
fuelectenerg-3305	451	14	kluwer	kluwer	NOUN
fuelectenerg-3305	451	15	academic	academic	ADJ
fuelectenerg-3305	451	16	publishers	publisher	NOUN
fuelectenerg-3305	451	17	,	,	PUNCT
fuelectenerg-3305	451	18	1999	1999	NUM
fuelectenerg-3305	451	19	.	.	PUNCT
fuelectenerg-3305	452	1	an	an	DET
fuelectenerg-3305	452	2	improved	improve	VERB
fuelectenerg-3305	452	3	spectral	spectral	ADJ
fuelectenerg-3305	452	4	classification	classification	NOUN
fuelectenerg-3305	452	5	of	of	ADP
fuelectenerg-3305	452	6	boolean	boolean	ADJ
fuelectenerg-3305	452	7	functions	function	NOUN
fuelectenerg-3305	452	8	...	...	PUNCT
fuelectenerg-3305	453	1	17	17	NUM
fuelectenerg-3305	454	1	[	[	X
fuelectenerg-3305	454	2	2	2	X
fuelectenerg-3305	454	3	]	]	PUNCT
fuelectenerg-3305	454	4	s.	s.	PROPN
fuelectenerg-3305	454	5	l.	l.	PROPN
fuelectenerg-3305	454	6	hurst	hurst	PROPN
fuelectenerg-3305	454	7	,	,	PUNCT
fuelectenerg-3305	454	8	d.	d.	PROPN
fuelectenerg-3305	454	9	m.	m.	PROPN
fuelectenerg-3305	454	10	miller	miller	PROPN
fuelectenerg-3305	454	11	,	,	PUNCT
fuelectenerg-3305	454	12	j.	j.	PROPN
fuelectenerg-3305	454	13	c.	c.	PROPN
fuelectenerg-3305	454	14	muzio	muzio	PROPN
fuelectenerg-3305	454	15	,	,	PUNCT
fuelectenerg-3305	454	16	spectral	spectral	ADJ
fuelectenerg-3305	454	17	techniques	technique	NOUN
fuelectenerg-3305	454	18	for	for	ADP
fuelectenerg-3305	454	19	digital	digital	ADJ
fuelectenerg-3305	454	20	logic	logic	NOUN
fuelectenerg-3305	454	21	,	,	PUNCT
fuelectenerg-3305	454	22	academic	academic	ADJ
fuelectenerg-3305	454	23	press	press	NOUN
fuelectenerg-3305	454	24	,	,	PUNCT
fuelectenerg-3305	454	25	1985	1985	NUM
fuelectenerg-3305	454	26	.	.	PUNCT
fuelectenerg-3305	455	1	[	[	X
fuelectenerg-3305	455	2	3	3	X
fuelectenerg-3305	455	3	]	]	X
fuelectenerg-3305	455	4	m.	m.	NOUN
fuelectenerg-3305	455	5	karpovsky	karpovsky	PROPN
fuelectenerg-3305	455	6	,	,	PUNCT
fuelectenerg-3305	455	7	r.	r.	PROPN
fuelectenerg-3305	455	8	s.	s.	PROPN
fuelectenerg-3305	455	9	stanković	stanković	PROPN
fuelectenerg-3305	455	10	,	,	PUNCT
fuelectenerg-3305	455	11	j.	j.	PROPN
fuelectenerg-3305	455	12	astola	astola	PROPN
fuelectenerg-3305	455	13	,	,	PUNCT
fuelectenerg-3305	455	14	spectral	spectral	ADJ
fuelectenerg-3305	455	15	logic	logic	NOUN
fuelectenerg-3305	455	16	and	and	CCONJ
fuelectenerg-3305	455	17	its	its	PRON
fuelectenerg-3305	455	18	applications	application	NOUN
fuelectenerg-3305	455	19	for	for	ADP
fuelectenerg-3305	455	20	the	the	DET
fuelectenerg-3305	455	21	design	design	NOUN
fuelectenerg-3305	455	22	of	of	ADP
fuelectenerg-3305	455	23	digital	digital	ADJ
fuelectenerg-3305	455	24	devices	device	NOUN
fuelectenerg-3305	455	25	,	,	PUNCT
fuelectenerg-3305	455	26	wiley	wiley	NOUN
fuelectenerg-3305	455	27	,	,	PUNCT
fuelectenerg-3305	455	28	2008	2008	NUM
fuelectenerg-3305	455	29	.	.	PUNCT
fuelectenerg-3305	456	1	[	[	X
fuelectenerg-3305	456	2	4	4	NUM
fuelectenerg-3305	456	3	]	]	PUNCT
fuelectenerg-3305	456	4	a.	a.	NOUN
fuelectenerg-3305	456	5	braeken	braeken	PROPN
fuelectenerg-3305	456	6	,	,	PUNCT
fuelectenerg-3305	456	7	y.	y.	PROPN
fuelectenerg-3305	456	8	borisov	borisov	PROPN
fuelectenerg-3305	456	9	,	,	PUNCT
fuelectenerg-3305	456	10	s.	s.	PROPN
fuelectenerg-3305	456	11	nikova	nikova	PROPN
fuelectenerg-3305	456	12	,	,	PUNCT
fuelectenerg-3305	456	13	b.	b.	PROPN
fuelectenerg-3305	456	14	preneel	preneel	PROPN
fuelectenerg-3305	456	15	,	,	PUNCT
fuelectenerg-3305	456	16	”	"	PUNCT
fuelectenerg-3305	456	17	classification	classification	NOUN
fuelectenerg-3305	456	18	of	of	ADP
fuelectenerg-3305	456	19	boolean	boolean	ADJ
fuelectenerg-3305	456	20	functions	function	NOUN
fuelectenerg-3305	456	21	of	of	ADP
fuelectenerg-3305	456	22	6	6	NUM
fuelectenerg-3305	456	23	variables	variable	NOUN
fuelectenerg-3305	456	24	or	or	CCONJ
fuelectenerg-3305	456	25	less	less	ADJ
fuelectenerg-3305	456	26	with	with	ADP
fuelectenerg-3305	456	27	respect	respect	NOUN
fuelectenerg-3305	456	28	to	to	ADP
fuelectenerg-3305	456	29	cryptographic	cryptographic	ADJ
fuelectenerg-3305	456	30	properties	property	NOUN
fuelectenerg-3305	456	31	”	"	PUNCT
fuelectenerg-3305	456	32	,	,	PUNCT
fuelectenerg-3305	456	33	int	int	NOUN
fuelectenerg-3305	456	34	.	.	PUNCT
fuelectenerg-3305	457	1	colloquium	colloquium	NOUN
fuelectenerg-3305	457	2	on	on	ADP
fuelectenerg-3305	457	3	automata	automata	NOUN
fuelectenerg-3305	457	4	,	,	PUNCT
fuelectenerg-3305	457	5	languages	language	NOUN
fuelectenerg-3305	457	6	and	and	CCONJ
fuelectenerg-3305	457	7	programming	programming	NOUN
fuelectenerg-3305	457	8	icalp	icalp	PROPN
fuelectenerg-3305	457	9	2005	2005	NUM
fuelectenerg-3305	457	10	,	,	PUNCT
fuelectenerg-3305	457	11	m.	m.	PROPN
fuelectenerg-3305	457	12	yung	yung	PROPN
fuelectenerg-3305	457	13	,	,	PUNCT
fuelectenerg-3305	457	14	g.f	g.f	PROPN
fuelectenerg-3305	457	15	.	.	PROPN
fuelectenerg-3305	457	16	italiano	italiano	PROPN
fuelectenerg-3305	457	17	,	,	PUNCT
fuelectenerg-3305	457	18	c.	c.	PROPN
fuelectenerg-3305	457	19	palamidessi	palamidessi	PROPN
fuelectenerg-3305	457	20	(	(	PUNCT
fuelectenerg-3305	457	21	eds	eds	PROPN
fuelectenerg-3305	457	22	.	.	PUNCT
fuelectenerg-3305	457	23	)	)	PUNCT
fuelectenerg-3305	458	1	,	,	PUNCT
fuelectenerg-3305	458	2	lecture	lecture	NOUN
fuelectenerg-3305	458	3	notes	note	NOUN
fuelectenerg-3305	458	4	in	in	ADP
fuelectenerg-3305	458	5	computer	computer	NOUN
fuelectenerg-3305	458	6	science	science	NOUN
fuelectenerg-3305	458	7	,	,	PUNCT
fuelectenerg-3305	458	8	vol	vol	NOUN
fuelectenerg-3305	458	9	.	.	NOUN
fuelectenerg-3305	458	10	3580	3580	NUM
fuelectenerg-3305	458	11	,	,	PUNCT
fuelectenerg-3305	458	12	springer	springer	NOUN
fuelectenerg-3305	458	13	-	-	PUNCT
fuelectenerg-3305	458	14	verlag	verlag	PROPN
fuelectenerg-3305	458	15	,	,	PUNCT
fuelectenerg-3305	458	16	2005	2005	NUM
fuelectenerg-3305	458	17	,	,	PUNCT
fuelectenerg-3305	458	18	324	324	NUM
fuelectenerg-3305	458	19	-	-	SYM
fuelectenerg-3305	458	20	334	334	NUM
fuelectenerg-3305	458	21	.	.	PUNCT
fuelectenerg-3305	459	1	[	[	X
fuelectenerg-3305	459	2	5	5	NUM
fuelectenerg-3305	459	3	]	]	PUNCT
fuelectenerg-3305	459	4	c.	c.	NOUN
fuelectenerg-3305	459	5	carlet	carlet	PROPN
fuelectenerg-3305	459	6	,	,	PUNCT
fuelectenerg-3305	459	7	p.	p.	PROPN
fuelectenerg-3305	459	8	sarkar	sarkar	NOUN
fuelectenerg-3305	459	9	,	,	PUNCT
fuelectenerg-3305	459	10	”	"	PUNCT
fuelectenerg-3305	459	11	spectral	spectral	ADJ
fuelectenerg-3305	459	12	domain	domain	NOUN
fuelectenerg-3305	459	13	analysis	analysis	NOUN
fuelectenerg-3305	459	14	of	of	ADP
fuelectenerg-3305	459	15	correlation	correlation	NOUN
fuelectenerg-3305	459	16	immune	immune	ADJ
fuelectenerg-3305	459	17	and	and	CCONJ
fuelectenerg-3305	459	18	resilient	resilient	ADJ
fuelectenerg-3305	459	19	boolean	boolean	ADJ
fuelectenerg-3305	459	20	functions	function	NOUN
fuelectenerg-3305	459	21	”	"	PUNCT
fuelectenerg-3305	459	22	,	,	PUNCT
fuelectenerg-3305	459	23	finite	finite	VERB
fuelectenerg-3305	459	24	fields	field	NOUN
fuelectenerg-3305	459	25	appl	appl	PROPN
fuelectenerg-3305	459	26	.	.	PUNCT
fuelectenerg-3305	459	27	,	,	PUNCT
fuelectenerg-3305	459	28	vol	vol	NOUN
fuelectenerg-3305	459	29	.	.	PROPN
fuelectenerg-3305	459	30	8	8	NUM
fuelectenerg-3305	459	31	,	,	PUNCT
fuelectenerg-3305	459	32	2002	2002	NUM
fuelectenerg-3305	459	33	,	,	PUNCT
fuelectenerg-3305	459	34	120	120	NUM
fuelectenerg-3305	459	35	-	-	SYM
fuelectenerg-3305	459	36	130	130	NUM
fuelectenerg-3305	459	37	.	.	PUNCT
fuelectenerg-3305	460	1	[	[	X
fuelectenerg-3305	460	2	6	6	NUM
fuelectenerg-3305	460	3	]	]	PUNCT
fuelectenerg-3305	460	4	k.	k.	NOUN
fuelectenerg-3305	461	1	miranovich	miranovich	PROPN
fuelectenerg-3305	461	2	,	,	PUNCT
fuelectenerg-3305	461	3	”	"	PUNCT
fuelectenerg-3305	461	4	spectral	spectral	ADJ
fuelectenerg-3305	461	5	analysis	analysis	NOUN
fuelectenerg-3305	461	6	of	of	ADP
fuelectenerg-3305	461	7	boolean	boolean	ADJ
fuelectenerg-3305	461	8	functions	function	NOUN
fuelectenerg-3305	461	9	under	under	ADP
fuelectenerg-3305	461	10	nonuniformity	nonuniformity	NOUN
fuelectenerg-3305	461	11	of	of	ADP
fuelectenerg-3305	461	12	arguments	argument	NOUN
fuelectenerg-3305	461	13	”	"	PUNCT
fuelectenerg-3305	461	14	,	,	PUNCT
fuelectenerg-3305	461	15	http://eprint.iacr.org/2002/021	http://eprint.iacr.org/2002/021	PROPN
fuelectenerg-3305	461	16	[	[	X
fuelectenerg-3305	461	17	7	7	X
fuelectenerg-3305	461	18	]	]	X
fuelectenerg-3305	461	19	p.	p.	NOUN
fuelectenerg-3305	461	20	sarkar	sarkar	NOUN
fuelectenerg-3305	461	21	,	,	PUNCT
fuelectenerg-3305	461	22	”	"	PUNCT
fuelectenerg-3305	461	23	a	a	DET
fuelectenerg-3305	461	24	note	note	NOUN
fuelectenerg-3305	461	25	on	on	ADP
fuelectenerg-3305	461	26	the	the	DET
fuelectenerg-3305	461	27	spectral	spectral	ADJ
fuelectenerg-3305	461	28	characterization	characterization	NOUN
fuelectenerg-3305	461	29	of	of	ADP
fuelectenerg-3305	461	30	boolean	boolean	ADJ
fuelectenerg-3305	461	31	functions	function	NOUN
fuelectenerg-3305	461	32	”	"	PUNCT
fuelectenerg-3305	461	33	,	,	PUNCT
fuelectenerg-3305	461	34	inform	inform	VERB
fuelectenerg-3305	461	35	process	process	NOUN
fuelectenerg-3305	461	36	lett	lett	PROPN
fuelectenerg-3305	461	37	,	,	PUNCT
fuelectenerg-3305	461	38	74	74	NUM
fuelectenerg-3305	461	39	,	,	PUNCT
fuelectenerg-3305	461	40	vol	vol	NOUN
fuelectenerg-3305	461	41	.	.	PROPN
fuelectenerg-3305	461	42	74	74	NUM
fuelectenerg-3305	461	43	,	,	PUNCT
fuelectenerg-3305	461	44	2000	2000	NUM
fuelectenerg-3305	461	45	,	,	PUNCT
fuelectenerg-3305	461	46	195	195	NUM
fuelectenerg-3305	461	47	.	.	PUNCT
fuelectenerg-3305	462	1	[	[	X
fuelectenerg-3305	462	2	8	8	NUM
fuelectenerg-3305	462	3	]	]	X
fuelectenerg-3305	462	4	y.	y.	NOUN
fuelectenerg-3305	462	5	tarannikov	tarannikov	PROPN
fuelectenerg-3305	462	6	,	,	PUNCT
fuelectenerg-3305	462	7	”	"	PUNCT
fuelectenerg-3305	462	8	spectral	spectral	ADJ
fuelectenerg-3305	462	9	analysis	analysis	NOUN
fuelectenerg-3305	462	10	of	of	ADP
fuelectenerg-3305	462	11	high	high	ADJ
fuelectenerg-3305	462	12	order	order	NOUN
fuelectenerg-3305	462	13	correlation	correlation	NOUN
fuelectenerg-3305	462	14	immune	immune	ADJ
fuelectenerg-3305	462	15	functions	function	NOUN
fuelectenerg-3305	462	16	”	"	PUNCT
fuelectenerg-3305	462	17	,	,	PUNCT
fuelectenerg-3305	462	18	proc	proc	NOUN
fuelectenerg-3305	462	19	.	.	PUNCT
fuelectenerg-3305	463	1	ieee	ieee	PROPN
fuelectenerg-3305	463	2	int	int	PROPN
fuelectenerg-3305	463	3	.	.	PUNCT
fuelectenerg-3305	464	1	symp	symp	PROPN
fuelectenerg-3305	464	2	.	.	PUNCT
fuelectenerg-3305	465	1	on	on	ADP
fuelectenerg-3305	465	2	information	information	NOUN
fuelectenerg-3305	465	3	theory	theory	NOUN
fuelectenerg-3305	465	4	,	,	PUNCT
fuelectenerg-3305	465	5	june	june	PROPN
fuelectenerg-3305	465	6	29	29	NUM
fuelectenerg-3305	465	7	,	,	PUNCT
fuelectenerg-3305	465	8	2001	2001	NUM
fuelectenerg-3305	465	9	,	,	PUNCT
fuelectenerg-3305	465	10	doi	doi	X
fuelectenerg-3305	465	11	10.1109	10.1109	NUM
fuelectenerg-3305	465	12	/	/	SYM
fuelectenerg-3305	465	13	isit.2001.935932	isit.2001.935932	ADJ
fuelectenerg-3305	465	14	.	.	PUNCT
fuelectenerg-3305	466	1	[	[	X
fuelectenerg-3305	466	2	9	9	NUM
fuelectenerg-3305	466	3	]	]	X
fuelectenerg-3305	466	4	g.	g.	PROPN
fuelectenerg-3305	466	5	z.	z.	PROPN
fuelectenerg-3305	466	6	xiao	xiao	PROPN
fuelectenerg-3305	466	7	,	,	PUNCT
fuelectenerg-3305	466	8	j.	j.	PROPN
fuelectenerg-3305	466	9	l.	l.	PROPN
fuelectenerg-3305	466	10	massey	massey	PROPN
fuelectenerg-3305	466	11	,	,	PUNCT
fuelectenerg-3305	466	12	”	"	PUNCT
fuelectenerg-3305	466	13	a	a	DET
fuelectenerg-3305	466	14	spectral	spectral	ADJ
fuelectenerg-3305	466	15	characterization	characterization	NOUN
fuelectenerg-3305	466	16	of	of	ADP
fuelectenerg-3305	466	17	correlation	correlation	NOUN
fuelectenerg-3305	466	18	-	-	PUNCT
fuelectenerg-3305	466	19	immune	immune	ADJ
fuelectenerg-3305	466	20	combining	combine	VERB
fuelectenerg-3305	466	21	functions	function	NOUN
fuelectenerg-3305	466	22	”	"	PUNCT
fuelectenerg-3305	466	23	,	,	PUNCT
fuelectenerg-3305	466	24	ieee	ieee	NOUN
fuelectenerg-3305	466	25	trans	tran	NOUN
fuelectenerg-3305	466	26	.	.	PUNCT
fuelectenerg-3305	467	1	on	on	ADP
fuelectenerg-3305	467	2	inform	inform	NOUN
fuelectenerg-3305	467	3	.	.	PUNCT
fuelectenerg-3305	468	1	theory	theory	NOUN
fuelectenerg-3305	468	2	,	,	PUNCT
fuelectenerg-3305	468	3	vol	vol	NOUN
fuelectenerg-3305	468	4	.	.	PROPN
fuelectenerg-3305	469	1	34	34	NUM
fuelectenerg-3305	469	2	,	,	PUNCT
fuelectenerg-3305	469	3	no	no	INTJ
fuelectenerg-3305	469	4	.	.	NOUN
fuelectenerg-3305	469	5	3	3	NUM
fuelectenerg-3305	469	6	,	,	PUNCT
fuelectenerg-3305	469	7	1988	1988	NUM
fuelectenerg-3305	469	8	,	,	PUNCT
fuelectenerg-3305	469	9	569	569	NUM
fuelectenerg-3305	469	10	-	-	SYM
fuelectenerg-3305	469	11	571	571	NUM
fuelectenerg-3305	469	12	.	.	PUNCT
fuelectenerg-3305	470	1	[	[	X
fuelectenerg-3305	470	2	10	10	NUM
fuelectenerg-3305	470	3	]	]	X
fuelectenerg-3305	470	4	o.	o.	PROPN
fuelectenerg-3305	470	5	s.	s.	PROPN
fuelectenerg-3305	470	6	rothaus	rothaus	PROPN
fuelectenerg-3305	470	7	,	,	PUNCT
fuelectenerg-3305	470	8	”	"	PUNCT
fuelectenerg-3305	470	9	on	on	ADP
fuelectenerg-3305	470	10	bent	bent	ADJ
fuelectenerg-3305	470	11	functions	function	NOUN
fuelectenerg-3305	470	12	”	"	PUNCT
fuelectenerg-3305	470	13	,	,	PUNCT
fuelectenerg-3305	470	14	journal	journal	NOUN
fuelectenerg-3305	470	15	combinatorial	combinatorial	ADJ
fuelectenerg-3305	470	16	theory	theory	NOUN
fuelectenerg-3305	470	17	,	,	PUNCT
fuelectenerg-3305	470	18	vol	vol	NOUN
fuelectenerg-3305	470	19	.	.	PROPN
fuelectenerg-3305	470	20	20	20	NUM
fuelectenerg-3305	470	21	,	,	PUNCT
fuelectenerg-3305	470	22	no	no	INTJ
fuelectenerg-3305	470	23	.	.	PUNCT
fuelectenerg-3305	471	1	a	a	DET
fuelectenerg-3305	471	2	,	,	PUNCT
fuelectenerg-3305	471	3	1976	1976	NUM
fuelectenerg-3305	471	4	,	,	PUNCT
fuelectenerg-3305	471	5	300	300	NUM
fuelectenerg-3305	471	6	-	-	SYM
fuelectenerg-3305	471	7	305	305	NUM
fuelectenerg-3305	471	8	.	.	PUNCT
fuelectenerg-3305	472	1	[	[	X
fuelectenerg-3305	472	2	11	11	NUM
fuelectenerg-3305	472	3	]	]	X
fuelectenerg-3305	472	4	c.	c.	PROPN
fuelectenerg-3305	472	5	r.	r.	PROPN
fuelectenerg-3305	472	6	edwards	edwards	PROPN
fuelectenerg-3305	472	7	,	,	PUNCT
fuelectenerg-3305	472	8	”	"	PUNCT
fuelectenerg-3305	472	9	the	the	DET
fuelectenerg-3305	472	10	application	application	NOUN
fuelectenerg-3305	472	11	of	of	ADP
fuelectenerg-3305	472	12	the	the	DET
fuelectenerg-3305	472	13	rademacher	rademacher	ADJ
fuelectenerg-3305	472	14	-	-	PUNCT
fuelectenerg-3305	472	15	walsh	walsh	NOUN
fuelectenerg-3305	472	16	transform	transform	NOUN
fuelectenerg-3305	472	17	to	to	ADP
fuelectenerg-3305	472	18	boolean	boolean	ADJ
fuelectenerg-3305	472	19	function	function	NOUN
fuelectenerg-3305	472	20	classification	classification	NOUN
fuelectenerg-3305	472	21	and	and	CCONJ
fuelectenerg-3305	472	22	threshold	threshold	NOUN
fuelectenerg-3305	472	23	logic	logic	NOUN
fuelectenerg-3305	472	24	synthesis	synthesis	NOUN
fuelectenerg-3305	472	25	”	"	PUNCT
fuelectenerg-3305	472	26	,	,	PUNCT
fuelectenerg-3305	472	27	trans	trans	PROPN
fuelectenerg-3305	472	28	.	.	PROPN
fuelectenerg-3305	472	29	ieee	ieee	PROPN
fuelectenerg-3305	472	30	,	,	PUNCT
fuelectenerg-3305	472	31	vol	vol	NOUN
fuelectenerg-3305	472	32	.	.	PUNCT
fuelectenerg-3305	472	33	c-24	c-24	PROPN
fuelectenerg-3305	472	34	,	,	PUNCT
fuelectenerg-3305	472	35	1975	1975	NUM
fuelectenerg-3305	472	36	,	,	PUNCT
fuelectenerg-3305	472	37	48	48	NUM
fuelectenerg-3305	472	38	-	-	SYM
fuelectenerg-3305	472	39	62	62	NUM
fuelectenerg-3305	472	40	.	.	PUNCT
fuelectenerg-3305	473	1	[	[	X
fuelectenerg-3305	473	2	12	12	NUM
fuelectenerg-3305	473	3	]	]	PUNCT
fuelectenerg-3305	473	4	s.	s.	PROPN
fuelectenerg-3305	473	5	l.	l.	PROPN
fuelectenerg-3305	473	6	hurst	hurst	PROPN
fuelectenerg-3305	473	7	,	,	PUNCT
fuelectenerg-3305	473	8	the	the	DET
fuelectenerg-3305	473	9	logical	logical	ADJ
fuelectenerg-3305	473	10	processing	processing	NOUN
fuelectenerg-3305	473	11	of	of	ADP
fuelectenerg-3305	473	12	digital	digital	ADJ
fuelectenerg-3305	473	13	signals	signal	NOUN
fuelectenerg-3305	473	14	,	,	PUNCT
fuelectenerg-3305	473	15	crane	crane	NOUN
fuelectenerg-3305	473	16	,	,	PUNCT
fuelectenerg-3305	473	17	russak	russak	PROPN
fuelectenerg-3305	473	18	&	&	CCONJ
fuelectenerg-3305	473	19	company	company	PROPN
fuelectenerg-3305	473	20	,	,	PUNCT
fuelectenerg-3305	473	21	inc	inc	PROPN
fuelectenerg-3305	473	22	.	.	PROPN
fuelectenerg-3305	473	23	,	,	PUNCT
fuelectenerg-3305	473	24	new	new	PROPN
fuelectenerg-3305	473	25	york	york	PROPN
fuelectenerg-3305	473	26	,	,	PUNCT
fuelectenerg-3305	473	27	edward	edward	PROPN
fuelectenerg-3305	473	28	arnold	arnold	PROPN
fuelectenerg-3305	473	29	,	,	PUNCT
fuelectenerg-3305	473	30	london	london	PROPN
fuelectenerg-3305	473	31	,	,	PUNCT
fuelectenerg-3305	473	32	1978	1978	NUM
fuelectenerg-3305	473	33	.	.	PUNCT
fuelectenerg-3305	474	1	[	[	X
fuelectenerg-3305	474	2	13	13	NUM
fuelectenerg-3305	474	3	]	]	PUNCT
fuelectenerg-3305	474	4	r.	r.	PROPN
fuelectenerg-3305	474	5	j.	j.	PROPN
fuelectenerg-3305	474	6	lechner	lechner	PROPN
fuelectenerg-3305	474	7	,	,	PUNCT
fuelectenerg-3305	474	8	”	"	PUNCT
fuelectenerg-3305	474	9	harmonic	harmonic	ADJ
fuelectenerg-3305	474	10	analysis	analysis	NOUN
fuelectenerg-3305	474	11	of	of	ADP
fuelectenerg-3305	474	12	swiching	swiche	VERB
fuelectenerg-3305	474	13	functions	function	NOUN
fuelectenerg-3305	474	14	”	"	PUNCT
fuelectenerg-3305	474	15	in	in	ADP
fuelectenerg-3305	474	16	a.	a.	NOUN
fuelectenerg-3305	474	17	mukhopadyay	mukhopadyay	NOUN
fuelectenerg-3305	474	18	,	,	PUNCT
fuelectenerg-3305	474	19	(	(	PUNCT
fuelectenerg-3305	474	20	ed	ed	NOUN
fuelectenerg-3305	474	21	.	.	PUNCT
fuelectenerg-3305	474	22	)	)	PUNCT
fuelectenerg-3305	475	1	,	,	PUNCT
fuelectenerg-3305	475	2	recent	recent	ADJ
fuelectenerg-3305	475	3	developments	development	NOUN
fuelectenerg-3305	475	4	in	in	ADP
fuelectenerg-3305	475	5	switching	switch	VERB
fuelectenerg-3305	475	6	theory	theory	NOUN
fuelectenerg-3305	475	7	,	,	PUNCT
fuelectenerg-3305	475	8	new	new	PROPN
fuelectenerg-3305	475	9	york	york	PROPN
fuelectenerg-3305	475	10	,	,	PUNCT
fuelectenerg-3305	475	11	academic	academic	NOUN
fuelectenerg-3305	475	12	,	,	PUNCT
fuelectenerg-3305	475	13	1971	1971	NUM
fuelectenerg-3305	475	14	.	.	PUNCT
fuelectenerg-3305	476	1	[	[	X
fuelectenerg-3305	476	2	14	14	NUM
fuelectenerg-3305	476	3	]	]	PUNCT
fuelectenerg-3305	476	4	s.	s.	PROPN
fuelectenerg-3305	476	5	w.	w.	PROPN
fuelectenerg-3305	476	6	golomb	golomb	PROPN
fuelectenerg-3305	476	7	,	,	PUNCT
fuelectenerg-3305	476	8	”	"	PUNCT
fuelectenerg-3305	476	9	on	on	ADP
fuelectenerg-3305	476	10	the	the	DET
fuelectenerg-3305	476	11	classiffication	classiffication	NOUN
fuelectenerg-3305	476	12	of	of	ADP
fuelectenerg-3305	476	13	boolean	boolean	ADJ
fuelectenerg-3305	476	14	functions	function	NOUN
fuelectenerg-3305	476	15	”	"	PUNCT
fuelectenerg-3305	476	16	,	,	PUNCT
fuelectenerg-3305	476	17	ire	ire	ADJ
fuelectenerg-3305	476	18	trans	tran	NOUN
fuelectenerg-3305	476	19	.	.	PUNCT
fuelectenerg-3305	477	1	circuit	circuit	PROPN
fuelectenerg-3305	477	2	theory	theory	NOUN
fuelectenerg-3305	477	3	,	,	PUNCT
fuelectenerg-3305	477	4	vol	vol	NOUN
fuelectenerg-3305	477	5	.	.	PUNCT
fuelectenerg-3305	477	6	ct-6	ct-6	NUM
fuelectenerg-3305	477	7	,	,	PUNCT
fuelectenerg-3305	477	8	no	no	INTJ
fuelectenerg-3305	477	9	.	.	NOUN
fuelectenerg-3305	477	10	5	5	NUM
fuelectenerg-3305	477	11	,	,	PUNCT
fuelectenerg-3305	477	12	may	may	PROPN
fuelectenerg-3305	477	13	1959	1959	NUM
fuelectenerg-3305	477	14	,	,	PUNCT
fuelectenerg-3305	477	15	176	176	NUM
fuelectenerg-3305	477	16	-	-	SYM
fuelectenerg-3305	477	17	186	186	NUM
fuelectenerg-3305	477	18	.	.	PUNCT
fuelectenerg-3305	478	1	[	[	X
fuelectenerg-3305	478	2	15	15	NUM
fuelectenerg-3305	478	3	]	]	X
fuelectenerg-3305	478	4	s.	s.	PROPN
fuelectenerg-3305	478	5	w.	w.	PROPN
fuelectenerg-3305	478	6	golomb	golomb	PROPN
fuelectenerg-3305	478	7	,	,	PUNCT
fuelectenerg-3305	478	8	g.	g.	PROPN
fuelectenerg-3305	478	9	gong	gong	PROPN
fuelectenerg-3305	478	10	,	,	PUNCT
fuelectenerg-3305	478	11	signal	signal	NOUN
fuelectenerg-3305	478	12	design	design	NOUN
fuelectenerg-3305	478	13	for	for	ADP
fuelectenerg-3305	478	14	good	good	ADJ
fuelectenerg-3305	478	15	correlation	correlation	NOUN
fuelectenerg-3305	478	16	for	for	ADP
fuelectenerg-3305	478	17	wireless	wireless	ADJ
fuelectenerg-3305	478	18	communications	communication	NOUN
fuelectenerg-3305	478	19	,	,	PUNCT
fuelectenerg-3305	478	20	cryptogtaphy	cryptogtaphy	NOUN
fuelectenerg-3305	478	21	and	and	CCONJ
fuelectenerg-3305	478	22	radar	radar	NOUN
fuelectenerg-3305	478	23	,	,	PUNCT
fuelectenerg-3305	478	24	cambridge	cambridge	PROPN
fuelectenerg-3305	478	25	university	university	PROPN
fuelectenerg-3305	478	26	press	press	NOUN
fuelectenerg-3305	478	27	,	,	PUNCT
fuelectenerg-3305	478	28	2005	2005	NUM
fuelectenerg-3305	478	29	.	.	PUNCT
fuelectenerg-3305	479	1	[	[	X
fuelectenerg-3305	479	2	16	16	NUM
fuelectenerg-3305	479	3	]	]	X
fuelectenerg-3305	479	4	s.w	s.w	PROPN
fuelectenerg-3305	479	5	.	.	PROPN
fuelectenerg-3305	479	6	golomb	golomb	PROPN
fuelectenerg-3305	479	7	,	,	PUNCT
fuelectenerg-3305	479	8	l.	l.	PROPN
fuelectenerg-3305	479	9	d.	d.	PROPN
fuelectenerg-3305	479	10	baumert	baumert	PROPN
fuelectenerg-3305	479	11	,	,	PUNCT
fuelectenerg-3305	479	12	”	"	PUNCT
fuelectenerg-3305	479	13	the	the	DET
fuelectenerg-3305	479	14	search	search	NOUN
fuelectenerg-3305	479	15	for	for	ADP
fuelectenerg-3305	479	16	hadamard	hadamard	ADJ
fuelectenerg-3305	479	17	matrices	matrix	NOUN
fuelectenerg-3305	479	18	”	"	PUNCT
fuelectenerg-3305	479	19	,	,	PUNCT
fuelectenerg-3305	479	20	amer	amer	PROPN
fuelectenerg-3305	479	21	.	.	PROPN
fuelectenerg-3305	479	22	math	math	PROPN
fuelectenerg-3305	479	23	.	.	PUNCT
fuelectenerg-3305	480	1	monthly	monthly	ADJ
fuelectenerg-3305	480	2	,	,	PUNCT
fuelectenerg-3305	480	3	vol	vol	NOUN
fuelectenerg-3305	480	4	.	.	PROPN
fuelectenerg-3305	480	5	70	70	NUM
fuelectenerg-3305	480	6	,	,	PUNCT
fuelectenerg-3305	480	7	1963	1963	NUM
fuelectenerg-3305	480	8	,	,	PUNCT
fuelectenerg-3305	480	9	12	12	NUM
fuelectenerg-3305	480	10	-	-	SYM
fuelectenerg-3305	480	11	17	17	NUM
fuelectenerg-3305	480	12	.	.	PUNCT
fuelectenerg-3305	481	1	[	[	X
fuelectenerg-3305	481	2	17	17	NUM
fuelectenerg-3305	481	3	]	]	PUNCT
fuelectenerg-3305	481	4	m.	m.	NOUN
fuelectenerg-3305	481	5	stanković	stanković	NOUN
fuelectenerg-3305	481	6	,	,	PUNCT
fuelectenerg-3305	481	7	c.	c.	PROPN
fuelectenerg-3305	481	8	moraga	moraga	PROPN
fuelectenerg-3305	481	9	,	,	PUNCT
fuelectenerg-3305	481	10	r.	r.	PROPN
fuelectenerg-3305	481	11	s.	s.	PROPN
fuelectenerg-3305	481	12	stanković	stanković	PROPN
fuelectenerg-3305	481	13	,	,	PUNCT
fuelectenerg-3305	481	14	”	"	PUNCT
fuelectenerg-3305	481	15	new	new	ADJ
fuelectenerg-3305	481	16	spectral	spectral	ADJ
fuelectenerg-3305	481	17	invariant	invariant	ADJ
fuelectenerg-3305	481	18	operations	operation	NOUN
fuelectenerg-3305	481	19	for	for	ADP
fuelectenerg-3305	481	20	functions	function	NOUN
fuelectenerg-3305	481	21	with	with	ADP
fuelectenerg-3305	481	22	disjoint	disjoint	NOUN
fuelectenerg-3305	481	23	products	product	NOUN
fuelectenerg-3305	481	24	in	in	ADP
fuelectenerg-3305	481	25	the	the	DET
fuelectenerg-3305	481	26	polynomial	polynomial	ADJ
fuelectenerg-3305	481	27	form	form	NOUN
fuelectenerg-3305	481	28	”	"	PUNCT
fuelectenerg-3305	481	29	,	,	PUNCT
fuelectenerg-3305	481	30	in	in	ADP
fuelectenerg-3305	481	31	proc	proc	NOUN
fuelectenerg-3305	481	32	.	.	PUNCT
fuelectenerg-3305	482	1	eurocast	eurocast	NOUN
fuelectenerg-3305	482	2	2017	2017	NUM
fuelectenerg-3305	482	3	,	,	PUNCT
fuelectenerg-3305	482	4	19	19	NUM
fuelectenerg-3305	482	5	-	-	SYM
fuelectenerg-3305	482	6	23	23	NUM
fuelectenerg-3305	482	7	,	,	PUNCT
fuelectenerg-3305	482	8	february	february	PROPN
fuelectenerg-3305	482	9	,	,	PUNCT
fuelectenerg-3305	482	10	2017	2017	NUM
fuelectenerg-3305	482	11	,	,	PUNCT
fuelectenerg-3305	482	12	las	las	PROPN
fuelectenerg-3305	482	13	palmas	palmas	PROPN
fuelectenerg-3305	482	14	,	,	PUNCT
fuelectenerg-3305	482	15	spain	spain	PROPN
fuelectenerg-3305	482	16	.	.	PUNCT
fuelectenerg-3305	483	1	204	204	NUM
fuelectenerg-3305	483	2	m.	m.	NOUN
fuelectenerg-3305	483	3	stanković	stanković	NOUN
fuelectenerg-3305	483	4	,	,	PUNCT
fuelectenerg-3305	483	5	c.	c.	PROPN
fuelectenerg-3305	483	6	moraga	moraga	PROPN
fuelectenerg-3305	483	7	,	,	PUNCT
fuelectenerg-3305	483	8	r.	r.	PROPN
fuelectenerg-3305	483	9	s.	s.	PROPN
fuelectenerg-3305	483	10	stanković	stanković	PROPN
fuelectenerg-3305	483	11	an	an	DET
fuelectenerg-3305	483	12	improved	improved	ADJ
fuelectenerg-3305	483	13	spectral	spectral	ADJ
fuelectenerg-3305	483	14	classification	classification	NOUN
fuelectenerg-3305	483	15	of	of	ADP
fuelectenerg-3305	483	16	boolean	boolean	ADJ
fuelectenerg-3305	483	17	functions	function	NOUN
fuelectenerg-3305	483	18	...	...	PUNCT
fuelectenerg-3305	483	19	205	205	NUM