id	sid	tid	token	lemma	pos
fuelectenerg-618	1	1	618.indd	618.indd	NUM
fuelectenerg-618	1	2	facta	facta	NOUN
fuelectenerg-618	1	3	universitatis	universitatis	PROPN
fuelectenerg-618	1	4	series	series	NOUN
fuelectenerg-618	1	5	:	:	PUNCT
fuelectenerg-618	1	6	electronics	electronic	NOUN
fuelectenerg-618	1	7	and	and	CCONJ
fuelectenerg-618	1	8	energetics	energetics	NOUN
fuelectenerg-618	1	9	vol	vol	NOUN
fuelectenerg-618	1	10	.	.	PUNCT
fuelectenerg-618	1	11	28	28	NUM
fuelectenerg-618	1	12	,	,	PUNCT
fuelectenerg-618	1	13	no	no	DET
fuelectenerg-618	1	14	1	1	NUM
fuelectenerg-618	1	15	,	,	PUNCT
fuelectenerg-618	1	16	march	march	PROPN
fuelectenerg-618	1	17	2015	2015	NUM
fuelectenerg-618	1	18	,	,	PUNCT
fuelectenerg-618	1	19	pp	pp	ADV
fuelectenerg-618	1	20	.	.	PUNCT
fuelectenerg-618	2	1	101	101	NUM
fuelectenerg-618	2	2	125	125	NUM
fuelectenerg-618	2	3	boolean	boolean	ADJ
fuelectenerg-618	2	4	differential	differential	ADJ
fuelectenerg-618	2	5	equations	equation	NOUN
fuelectenerg-618	2	6	a	a	DET
fuelectenerg-618	2	7	common	common	ADJ
fuelectenerg-618	2	8	model	model	NOUN
fuelectenerg-618	2	9	for	for	ADP
fuelectenerg-618	2	10	classes	class	NOUN
fuelectenerg-618	2	11	,	,	PUNCT
fuelectenerg-618	2	12	lattices	lattice	NOUN
fuelectenerg-618	2	13	,	,	PUNCT
fuelectenerg-618	2	14	and	and	CCONJ
fuelectenerg-618	2	15	arbitrary	arbitrary	ADJ
fuelectenerg-618	2	16	sets	set	NOUN
fuelectenerg-618	2	17	of	of	ADP
fuelectenerg-618	2	18	boolean	boolean	ADJ
fuelectenerg-618	2	19	functions	function	NOUN
fuelectenerg-618	2	20	bernd	bernd	NOUN
fuelectenerg-618	2	21	steinbach1	steinbach1	NOUN
fuelectenerg-618	2	22	and	and	CCONJ
fuelectenerg-618	2	23	christian	christian	ADJ
fuelectenerg-618	2	24	posthoff2	posthoff2	NOUN
fuelectenerg-618	2	25	1institute	1institute	NUM
fuelectenerg-618	2	26	of	of	ADP
fuelectenerg-618	2	27	computer	computer	NOUN
fuelectenerg-618	2	28	science	science	NOUN
fuelectenerg-618	2	29	,	,	PUNCT
fuelectenerg-618	2	30	freiberg	freiberg	PROPN
fuelectenerg-618	2	31	university	university	PROPN
fuelectenerg-618	2	32	of	of	ADP
fuelectenerg-618	2	33	mining	mining	NOUN
fuelectenerg-618	2	34	and	and	CCONJ
fuelectenerg-618	2	35	technology	technology	NOUN
fuelectenerg-618	2	36	,	,	PUNCT
fuelectenerg-618	2	37	bernhard	bernhard	PROPN
fuelectenerg-618	2	38	-	-	PUNCT
fuelectenerg-618	2	39	von	von	PROPN
fuelectenerg-618	2	40	-	-	PUNCT
fuelectenerg-618	2	41	cotta	cotta	NOUN
fuelectenerg-618	2	42	-	-	PUNCT
fuelectenerg-618	2	43	str	str	NOUN
fuelectenerg-618	2	44	.	.	PUNCT
fuelectenerg-618	3	1	2	2	NUM
fuelectenerg-618	3	2	,	,	PUNCT
fuelectenerg-618	3	3	d-09596	d-09596	PROPN
fuelectenerg-618	3	4	freiberg	freiberg	PROPN
fuelectenerg-618	3	5	,	,	PUNCT
fuelectenerg-618	3	6	germany	germany	PROPN
fuelectenerg-618	3	7	2department	2department	NUM
fuelectenerg-618	3	8	of	of	ADP
fuelectenerg-618	3	9	computing	computing	NOUN
fuelectenerg-618	3	10	and	and	CCONJ
fuelectenerg-618	3	11	information	information	NOUN
fuelectenerg-618	3	12	technology	technology	NOUN
fuelectenerg-618	3	13	,	,	PUNCT
fuelectenerg-618	3	14	the	the	DET
fuelectenerg-618	3	15	university	university	NOUN
fuelectenerg-618	3	16	of	of	ADP
fuelectenerg-618	3	17	the	the	DET
fuelectenerg-618	3	18	west	west	PROPN
fuelectenerg-618	3	19	indies	indies	PROPN
fuelectenerg-618	3	20	,	,	PUNCT
fuelectenerg-618	3	21	trinidad	trinidad	PROPN
fuelectenerg-618	3	22	&	&	CCONJ
fuelectenerg-618	3	23	tobago	tobago	PROPN
fuelectenerg-618	3	24	abstract	abstract	PROPN
fuelectenerg-618	3	25	:	:	PUNCT
fuelectenerg-618	3	26	the	the	DET
fuelectenerg-618	3	27	boolean	boolean	ADJ
fuelectenerg-618	3	28	differential	differential	ADJ
fuelectenerg-618	3	29	calculus	calculus	NOUN
fuelectenerg-618	3	30	(	(	PUNCT
fuelectenerg-618	3	31	bdc	bdc	NOUN
fuelectenerg-618	3	32	)	)	PUNCT
fuelectenerg-618	3	33	significantly	significantly	ADV
fuelectenerg-618	3	34	extends	extend	VERB
fuelectenerg-618	3	35	the	the	DET
fuelectenerg-618	3	36	boolean	boolean	ADJ
fuelectenerg-618	3	37	algebra	algebra	NOUN
fuelectenerg-618	3	38	because	because	SCONJ
fuelectenerg-618	3	39	not	not	PART
fuelectenerg-618	3	40	only	only	ADV
fuelectenerg-618	3	41	boolean	boolean	ADJ
fuelectenerg-618	3	42	values	value	NOUN
fuelectenerg-618	3	43	0	0	NUM
fuelectenerg-618	3	44	and	and	CCONJ
fuelectenerg-618	3	45	1	1	NUM
fuelectenerg-618	3	46	,	,	PUNCT
fuelectenerg-618	3	47	but	but	CCONJ
fuelectenerg-618	3	48	also	also	ADV
fuelectenerg-618	3	49	changes	change	NOUN
fuelectenerg-618	3	50	of	of	ADP
fuelectenerg-618	3	51	boolean	boolean	ADJ
fuelectenerg-618	3	52	values	value	NOUN
fuelectenerg-618	3	53	or	or	CCONJ
fuelectenerg-618	3	54	boolean	boolean	ADJ
fuelectenerg-618	3	55	functions	function	NOUN
fuelectenerg-618	3	56	can	can	AUX
fuelectenerg-618	3	57	be	be	AUX
fuelectenerg-618	3	58	described	describe	VERB
fuelectenerg-618	3	59	.	.	PUNCT
fuelectenerg-618	4	1	a	a	DET
fuelectenerg-618	4	2	boolean	boolean	ADJ
fuelectenerg-618	4	3	differential	differential	ADJ
fuelectenerg-618	4	4	equation	equation	NOUN
fuelectenerg-618	4	5	(	(	PUNCT
fuelectenerg-618	4	6	bde	bde	PROPN
fuelectenerg-618	4	7	)	)	PUNCT
fuelectenerg-618	4	8	is	be	AUX
fuelectenerg-618	4	9	a	a	DET
fuelectenerg-618	4	10	boolean	boolean	ADJ
fuelectenerg-618	4	11	equation	equation	NOUN
fuelectenerg-618	4	12	that	that	PRON
fuelectenerg-618	4	13	includes	include	VERB
fuelectenerg-618	4	14	derivative	derivative	ADJ
fuelectenerg-618	4	15	operations	operation	NOUN
fuelectenerg-618	4	16	of	of	ADP
fuelectenerg-618	4	17	the	the	DET
fuelectenerg-618	4	18	boolean	boolean	ADJ
fuelectenerg-618	4	19	differential	differential	NOUN
fuelectenerg-618	4	20	calculus	calculus	NOUN
fuelectenerg-618	4	21	.	.	PUNCT
fuelectenerg-618	5	1	this	this	DET
fuelectenerg-618	5	2	paper	paper	NOUN
fuelectenerg-618	5	3	aims	aim	VERB
fuelectenerg-618	5	4	at	at	ADP
fuelectenerg-618	5	5	the	the	DET
fuelectenerg-618	5	6	classification	classification	NOUN
fuelectenerg-618	5	7	of	of	ADP
fuelectenerg-618	5	8	bdes	bde	NOUN
fuelectenerg-618	5	9	,	,	PUNCT
fuelectenerg-618	5	10	the	the	DET
fuelectenerg-618	5	11	characterization	characterization	NOUN
fuelectenerg-618	5	12	of	of	ADP
fuelectenerg-618	5	13	the	the	DET
fuelectenerg-618	5	14	respective	respective	ADJ
fuelectenerg-618	5	15	solutions	solution	NOUN
fuelectenerg-618	5	16	,	,	PUNCT
fuelectenerg-618	5	17	algorithms	algorithm	NOUN
fuelectenerg-618	5	18	to	to	PART
fuelectenerg-618	5	19	calculate	calculate	VERB
fuelectenerg-618	5	20	the	the	DET
fuelectenerg-618	5	21	solution	solution	NOUN
fuelectenerg-618	5	22	of	of	ADP
fuelectenerg-618	5	23	a	a	DET
fuelectenerg-618	5	24	bde	bde	NOUN
fuelectenerg-618	5	25	,	,	PUNCT
fuelectenerg-618	5	26	and	and	CCONJ
fuelectenerg-618	5	27	selected	select	VERB
fuelectenerg-618	5	28	applications	application	NOUN
fuelectenerg-618	5	29	.	.	PUNCT
fuelectenerg-618	6	1	we	we	PRON
fuelectenerg-618	6	2	will	will	AUX
fuelectenerg-618	6	3	show	show	VERB
fuelectenerg-618	6	4	that	that	SCONJ
fuelectenerg-618	6	5	not	not	PART
fuelectenerg-618	6	6	only	only	ADV
fuelectenerg-618	6	7	classes	class	NOUN
fuelectenerg-618	6	8	and	and	CCONJ
fuelectenerg-618	6	9	arbitrary	arbitrary	ADJ
fuelectenerg-618	6	10	sets	set	NOUN
fuelectenerg-618	6	11	of	of	ADP
fuelectenerg-618	6	12	boolean	boolean	ADJ
fuelectenerg-618	6	13	functions	function	NOUN
fuelectenerg-618	6	14	but	but	CCONJ
fuelectenerg-618	6	15	also	also	ADV
fuelectenerg-618	6	16	lattices	lattice	NOUN
fuelectenerg-618	6	17	of	of	ADP
fuelectenerg-618	6	18	boolean	boolean	ADJ
fuelectenerg-618	6	19	functions	function	NOUN
fuelectenerg-618	6	20	can	can	AUX
fuelectenerg-618	6	21	be	be	AUX
fuelectenerg-618	6	22	expressed	express	VERB
fuelectenerg-618	6	23	by	by	ADP
fuelectenerg-618	6	24	boolean	boolean	ADJ
fuelectenerg-618	6	25	differential	differential	ADJ
fuelectenerg-618	6	26	equations	equation	NOUN
fuelectenerg-618	6	27	.	.	PUNCT
fuelectenerg-618	7	1	in	in	ADP
fuelectenerg-618	7	2	order	order	NOUN
fuelectenerg-618	7	3	to	to	PART
fuelectenerg-618	7	4	reach	reach	VERB
fuelectenerg-618	7	5	this	this	DET
fuelectenerg-618	7	6	aim	aim	NOUN
fuelectenerg-618	7	7	,	,	PUNCT
fuelectenerg-618	7	8	we	we	PRON
fuelectenerg-618	7	9	give	give	VERB
fuelectenerg-618	7	10	a	a	DET
fuelectenerg-618	7	11	short	short	ADJ
fuelectenerg-618	7	12	introduction	introduction	NOUN
fuelectenerg-618	7	13	into	into	ADP
fuelectenerg-618	7	14	the	the	DET
fuelectenerg-618	7	15	bdc	bdc	NOUN
fuelectenerg-618	7	16	,	,	PUNCT
fuelectenerg-618	7	17	emphasize	emphasize	VERB
fuelectenerg-618	7	18	the	the	DET
fuelectenerg-618	7	19	general	general	ADJ
fuelectenerg-618	7	20	difference	difference	NOUN
fuelectenerg-618	7	21	between	between	ADP
fuelectenerg-618	7	22	the	the	DET
fuelectenerg-618	7	23	solutions	solution	NOUN
fuelectenerg-618	7	24	of	of	ADP
fuelectenerg-618	7	25	a	a	DET
fuelectenerg-618	7	26	boolean	boolean	ADJ
fuelectenerg-618	7	27	equation	equation	NOUN
fuelectenerg-618	7	28	and	and	CCONJ
fuelectenerg-618	7	29	a	a	DET
fuelectenerg-618	7	30	bde	bde	NOUN
fuelectenerg-618	7	31	,	,	PUNCT
fuelectenerg-618	7	32	explain	explain	VERB
fuelectenerg-618	7	33	the	the	DET
fuelectenerg-618	7	34	core	core	NOUN
fuelectenerg-618	7	35	algorithms	algorithm	NOUN
fuelectenerg-618	7	36	to	to	PART
fuelectenerg-618	7	37	solve	solve	VERB
fuelectenerg-618	7	38	a	a	DET
fuelectenerg-618	7	39	bde	bde	NOUN
fuelectenerg-618	7	40	that	that	PRON
fuelectenerg-618	7	41	is	be	AUX
fuelectenerg-618	7	42	restricted	restrict	VERB
fuelectenerg-618	7	43	to	to	ADP
fuelectenerg-618	7	44	all	all	DET
fuelectenerg-618	7	45	vectorial	vectorial	ADJ
fuelectenerg-618	7	46	derivatives	derivative	NOUN
fuelectenerg-618	7	47	of	of	ADP
fuelectenerg-618	7	48	f	f	PROPN
fuelectenerg-618	7	49	(	(	PUNCT
fuelectenerg-618	7	50	x	x	NOUN
fuelectenerg-618	7	51	)	)	PUNCT
fuelectenerg-618	7	52	and	and	CCONJ
fuelectenerg-618	7	53	optionally	optionally	ADV
fuelectenerg-618	7	54	contains	contain	VERB
fuelectenerg-618	7	55	boolean	boolean	ADJ
fuelectenerg-618	7	56	variables	variable	NOUN
fuelectenerg-618	7	57	.	.	PUNCT
fuelectenerg-618	8	1	we	we	PRON
fuelectenerg-618	8	2	explain	explain	VERB
fuelectenerg-618	8	3	formulas	formula	NOUN
fuelectenerg-618	8	4	for	for	ADP
fuelectenerg-618	8	5	transforming	transform	VERB
fuelectenerg-618	8	6	other	other	ADJ
fuelectenerg-618	8	7	derivative	derivative	ADJ
fuelectenerg-618	8	8	operations	operation	NOUN
fuelectenerg-618	8	9	to	to	ADP
fuelectenerg-618	8	10	vectorial	vectorial	ADJ
fuelectenerg-618	8	11	derivatives	derivative	NOUN
fuelectenerg-618	8	12	in	in	ADP
fuelectenerg-618	8	13	order	order	NOUN
fuelectenerg-618	8	14	to	to	PART
fuelectenerg-618	8	15	solve	solve	VERB
fuelectenerg-618	8	16	more	more	ADJ
fuelectenerg-618	8	17	general	general	ADJ
fuelectenerg-618	8	18	bdes	bde	NOUN
fuelectenerg-618	8	19	.	.	PUNCT
fuelectenerg-618	9	1	new	new	ADJ
fuelectenerg-618	9	2	fields	field	NOUN
fuelectenerg-618	9	3	of	of	ADP
fuelectenerg-618	9	4	applications	application	NOUN
fuelectenerg-618	9	5	for	for	ADP
fuelectenerg-618	9	6	bdes	bde	NOUN
fuelectenerg-618	9	7	are	be	AUX
fuelectenerg-618	9	8	simple	simple	ADJ
fuelectenerg-618	9	9	and	and	CCONJ
fuelectenerg-618	9	10	generalized	generalized	ADJ
fuelectenerg-618	9	11	lattices	lattice	NOUN
fuelectenerg-618	9	12	of	of	ADP
fuelectenerg-618	9	13	boolean	boolean	ADJ
fuelectenerg-618	9	14	functions	function	NOUN
fuelectenerg-618	9	15	.	.	PUNCT
fuelectenerg-618	10	1	we	we	PRON
fuelectenerg-618	10	2	describe	describe	VERB
fuelectenerg-618	10	3	the	the	DET
fuelectenerg-618	10	4	construction	construction	NOUN
fuelectenerg-618	10	5	,	,	PUNCT
fuelectenerg-618	10	6	simplification	simplification	NOUN
fuelectenerg-618	10	7	and	and	CCONJ
fuelectenerg-618	10	8	solution	solution	NOUN
fuelectenerg-618	10	9	.	.	PUNCT
fuelectenerg-618	11	1	manuscript	manuscript	NOUN
fuelectenerg-618	11	2	received	receive	VERB
fuelectenerg-618	11	3	november	november	PROPN
fuelectenerg-618	11	4	17	17	NUM
fuelectenerg-618	11	5	,	,	PUNCT
fuelectenerg-618	11	6	2014	2014	NUM
fuelectenerg-618	11	7	*	*	PUNCT
fuelectenerg-618	11	8	an	an	DET
fuelectenerg-618	11	9	earlier	early	ADJ
fuelectenerg-618	11	10	version	version	NOUN
fuelectenerg-618	11	11	of	of	ADP
fuelectenerg-618	11	12	this	this	DET
fuelectenerg-618	11	13	paper	paper	NOUN
fuelectenerg-618	11	14	was	be	AUX
fuelectenerg-618	11	15	presented	present	VERB
fuelectenerg-618	11	16	as	as	ADP
fuelectenerg-618	11	17	invited	invite	VERB
fuelectenerg-618	11	18	paper	paper	NOUN
fuelectenerg-618	11	19	at	at	ADP
fuelectenerg-618	11	20	the	the	DET
fuelectenerg-618	11	21	the	the	DET
fuelectenerg-618	11	22	13th	13th	ADJ
fuelectenerg-618	11	23	serbian	serbian	ADJ
fuelectenerg-618	11	24	mathematical	mathematical	ADJ
fuelectenerg-618	11	25	congress	congress	PROPN
fuelectenerg-618	11	26	(	(	PUNCT
fuelectenerg-618	11	27	smc	smc	PROPN
fuelectenerg-618	11	28	2014	2014	NUM
fuelectenerg-618	11	29	)	)	PUNCT
fuelectenerg-618	11	30	,	,	PUNCT
fuelectenerg-618	11	31	may	may	AUX
fuelectenerg-618	11	32	22	22	NUM
fuelectenerg-618	11	33	-	-	SYM
fuelectenerg-618	11	34	25	25	NUM
fuelectenerg-618	11	35	,	,	PUNCT
fuelectenerg-618	11	36	2014	2014	NUM
fuelectenerg-618	11	37	,	,	PUNCT
fuelectenerg-618	11	38	in	in	ADP
fuelectenerg-618	11	39	vrnjačka	vrnjačka	PROPN
fuelectenerg-618	11	40	banja	banja	PROPN
fuelectenerg-618	11	41	,	,	PUNCT
fuelectenerg-618	11	42	serbia	serbia	PROPN
fuelectenerg-618	11	43	.	.	PUNCT
fuelectenerg-618	12	1	corresponding	correspond	VERB
fuelectenerg-618	12	2	author	author	NOUN
fuelectenerg-618	12	3	:	:	PUNCT
fuelectenerg-618	12	4	bernd	bernd	PROPN
fuelectenerg-618	12	5	steinbach	steinbach	PROPN
fuelectenerg-618	12	6	institute	institute	PROPN
fuelectenerg-618	12	7	of	of	ADP
fuelectenerg-618	12	8	computer	computer	NOUN
fuelectenerg-618	12	9	science	science	NOUN
fuelectenerg-618	12	10	,	,	PUNCT
fuelectenerg-618	12	11	freiberg	freiberg	PROPN
fuelectenerg-618	12	12	university	university	PROPN
fuelectenerg-618	12	13	of	of	ADP
fuelectenerg-618	12	14	mining	mining	NOUN
fuelectenerg-618	12	15	and	and	CCONJ
fuelectenerg-618	12	16	technology	technology	NOUN
fuelectenerg-618	12	17	,	,	PUNCT
fuelectenerg-618	12	18	bernhard	bernhard	PROPN
fuelectenerg-618	12	19	-	-	PUNCT
fuelectenerg-618	12	20	von	von	PROPN
fuelectenerg-618	12	21	-	-	PUNCT
fuelectenerg-618	12	22	cottastr	cottastr	PROPN
fuelectenerg-618	12	23	.	.	PUNCT
fuelectenerg-618	13	1	2	2	NUM
fuelectenerg-618	13	2	,	,	PUNCT
fuelectenerg-618	13	3	d-09596	d-09596	PROPN
fuelectenerg-618	13	4	freiberg	freiberg	PROPN
fuelectenerg-618	13	5	,	,	PUNCT
fuelectenerg-618	13	6	germany	germany	PROPN
fuelectenerg-618	13	7	(	(	PUNCT
fuelectenerg-618	13	8	e	e	NOUN
fuelectenerg-618	13	9	-	-	NOUN
fuelectenerg-618	13	10	mail	mail	NOUN
fuelectenerg-618	13	11	:	:	PUNCT
fuelectenerg-618	13	12	steinb@informatik	steinb@informatik	PROPN
fuelectenerg-618	13	13	)	)	PUNCT
fuelectenerg-618	13	14	.	.	PUNCT
fuelectenerg-618	14	1	101	101	NUM
fuelectenerg-618	14	2	facta	facta	PROPN
fuelectenerg-618	14	3	universitatis	universitatis	PROPN
fuelectenerg-618	14	4	series	series	NOUN
fuelectenerg-618	14	5	:	:	PUNCT
fuelectenerg-618	14	6	electronics	electronic	NOUN
fuelectenerg-618	14	7	and	and	CCONJ
fuelectenerg-618	14	8	energetics	energetics	NOUN
fuelectenerg-618	14	9	vol	vol	NOUN
fuelectenerg-618	14	10	.	.	PUNCT
fuelectenerg-618	14	11	28	28	NUM
fuelectenerg-618	14	12	,	,	PUNCT
fuelectenerg-618	14	13	no	no	DET
fuelectenerg-618	14	14	1	1	NUM
fuelectenerg-618	14	15	,	,	PUNCT
fuelectenerg-618	14	16	march	march	PROPN
fuelectenerg-618	14	17	2015	2015	NUM
fuelectenerg-618	14	18	,	,	PUNCT
fuelectenerg-618	14	19	pp	pp	ADV
fuelectenerg-618	14	20	.	.	PUNCT
fuelectenerg-618	15	1	101	101	NUM
fuelectenerg-618	15	2	125	125	NUM
fuelectenerg-618	15	3	boolean	boolean	ADJ
fuelectenerg-618	15	4	differential	differential	ADJ
fuelectenerg-618	15	5	equations	equation	NOUN
fuelectenerg-618	15	6	a	a	DET
fuelectenerg-618	15	7	common	common	ADJ
fuelectenerg-618	15	8	model	model	NOUN
fuelectenerg-618	15	9	for	for	ADP
fuelectenerg-618	15	10	classes	class	NOUN
fuelectenerg-618	15	11	,	,	PUNCT
fuelectenerg-618	15	12	lattices	lattice	NOUN
fuelectenerg-618	15	13	,	,	PUNCT
fuelectenerg-618	15	14	and	and	CCONJ
fuelectenerg-618	15	15	arbitrary	arbitrary	ADJ
fuelectenerg-618	15	16	sets	set	NOUN
fuelectenerg-618	15	17	of	of	ADP
fuelectenerg-618	15	18	boolean	boolean	ADJ
fuelectenerg-618	15	19	functions	function	NOUN
fuelectenerg-618	15	20	bernd	bernd	NOUN
fuelectenerg-618	15	21	steinbach1	steinbach1	NOUN
fuelectenerg-618	15	22	and	and	CCONJ
fuelectenerg-618	15	23	christian	christian	ADJ
fuelectenerg-618	15	24	posthoff2	posthoff2	NOUN
fuelectenerg-618	15	25	1institute	1institute	NUM
fuelectenerg-618	15	26	of	of	ADP
fuelectenerg-618	15	27	computer	computer	NOUN
fuelectenerg-618	15	28	science	science	NOUN
fuelectenerg-618	15	29	,	,	PUNCT
fuelectenerg-618	15	30	freiberg	freiberg	PROPN
fuelectenerg-618	15	31	university	university	PROPN
fuelectenerg-618	15	32	of	of	ADP
fuelectenerg-618	15	33	mining	mining	NOUN
fuelectenerg-618	15	34	and	and	CCONJ
fuelectenerg-618	15	35	technology	technology	NOUN
fuelectenerg-618	15	36	,	,	PUNCT
fuelectenerg-618	15	37	bernhard	bernhard	PROPN
fuelectenerg-618	15	38	-	-	PUNCT
fuelectenerg-618	15	39	von	von	PROPN
fuelectenerg-618	15	40	-	-	PUNCT
fuelectenerg-618	15	41	cotta	cotta	NOUN
fuelectenerg-618	15	42	-	-	PUNCT
fuelectenerg-618	15	43	str	str	NOUN
fuelectenerg-618	15	44	.	.	PUNCT
fuelectenerg-618	16	1	2	2	NUM
fuelectenerg-618	16	2	,	,	PUNCT
fuelectenerg-618	16	3	d-09596	d-09596	PROPN
fuelectenerg-618	16	4	freiberg	freiberg	PROPN
fuelectenerg-618	16	5	,	,	PUNCT
fuelectenerg-618	16	6	germany	germany	PROPN
fuelectenerg-618	16	7	2department	2department	NUM
fuelectenerg-618	16	8	of	of	ADP
fuelectenerg-618	16	9	computing	computing	NOUN
fuelectenerg-618	16	10	and	and	CCONJ
fuelectenerg-618	16	11	information	information	NOUN
fuelectenerg-618	16	12	technology	technology	NOUN
fuelectenerg-618	16	13	,	,	PUNCT
fuelectenerg-618	16	14	the	the	DET
fuelectenerg-618	16	15	university	university	NOUN
fuelectenerg-618	16	16	of	of	ADP
fuelectenerg-618	16	17	the	the	DET
fuelectenerg-618	16	18	west	west	PROPN
fuelectenerg-618	16	19	indies	indies	PROPN
fuelectenerg-618	16	20	,	,	PUNCT
fuelectenerg-618	16	21	trinidad	trinidad	PROPN
fuelectenerg-618	16	22	&	&	CCONJ
fuelectenerg-618	16	23	tobago	tobago	PROPN
fuelectenerg-618	16	24	abstract	abstract	PROPN
fuelectenerg-618	16	25	:	:	PUNCT
fuelectenerg-618	16	26	the	the	DET
fuelectenerg-618	16	27	boolean	boolean	ADJ
fuelectenerg-618	16	28	differential	differential	ADJ
fuelectenerg-618	16	29	calculus	calculus	NOUN
fuelectenerg-618	16	30	(	(	PUNCT
fuelectenerg-618	16	31	bdc	bdc	NOUN
fuelectenerg-618	16	32	)	)	PUNCT
fuelectenerg-618	16	33	significantly	significantly	ADV
fuelectenerg-618	16	34	extends	extend	VERB
fuelectenerg-618	16	35	the	the	DET
fuelectenerg-618	16	36	boolean	boolean	ADJ
fuelectenerg-618	16	37	algebra	algebra	NOUN
fuelectenerg-618	16	38	because	because	SCONJ
fuelectenerg-618	16	39	not	not	PART
fuelectenerg-618	16	40	only	only	ADV
fuelectenerg-618	16	41	boolean	boolean	ADJ
fuelectenerg-618	16	42	values	value	NOUN
fuelectenerg-618	16	43	0	0	NUM
fuelectenerg-618	16	44	and	and	CCONJ
fuelectenerg-618	16	45	1	1	NUM
fuelectenerg-618	16	46	,	,	PUNCT
fuelectenerg-618	16	47	but	but	CCONJ
fuelectenerg-618	16	48	also	also	ADV
fuelectenerg-618	16	49	changes	change	NOUN
fuelectenerg-618	16	50	of	of	ADP
fuelectenerg-618	16	51	boolean	boolean	ADJ
fuelectenerg-618	16	52	values	value	NOUN
fuelectenerg-618	16	53	or	or	CCONJ
fuelectenerg-618	16	54	boolean	boolean	ADJ
fuelectenerg-618	16	55	functions	function	NOUN
fuelectenerg-618	16	56	can	can	AUX
fuelectenerg-618	16	57	be	be	AUX
fuelectenerg-618	16	58	described	describe	VERB
fuelectenerg-618	16	59	.	.	PUNCT
fuelectenerg-618	17	1	a	a	DET
fuelectenerg-618	17	2	boolean	boolean	ADJ
fuelectenerg-618	17	3	differential	differential	ADJ
fuelectenerg-618	17	4	equation	equation	NOUN
fuelectenerg-618	17	5	(	(	PUNCT
fuelectenerg-618	17	6	bde	bde	PROPN
fuelectenerg-618	17	7	)	)	PUNCT
fuelectenerg-618	17	8	is	be	AUX
fuelectenerg-618	17	9	a	a	DET
fuelectenerg-618	17	10	boolean	boolean	ADJ
fuelectenerg-618	17	11	equation	equation	NOUN
fuelectenerg-618	17	12	that	that	PRON
fuelectenerg-618	17	13	includes	include	VERB
fuelectenerg-618	17	14	derivative	derivative	ADJ
fuelectenerg-618	17	15	operations	operation	NOUN
fuelectenerg-618	17	16	of	of	ADP
fuelectenerg-618	17	17	the	the	DET
fuelectenerg-618	17	18	boolean	boolean	ADJ
fuelectenerg-618	17	19	differential	differential	NOUN
fuelectenerg-618	17	20	calculus	calculus	NOUN
fuelectenerg-618	17	21	.	.	PUNCT
fuelectenerg-618	18	1	this	this	DET
fuelectenerg-618	18	2	paper	paper	NOUN
fuelectenerg-618	18	3	aims	aim	VERB
fuelectenerg-618	18	4	at	at	ADP
fuelectenerg-618	18	5	the	the	DET
fuelectenerg-618	18	6	classification	classification	NOUN
fuelectenerg-618	18	7	of	of	ADP
fuelectenerg-618	18	8	bdes	bde	NOUN
fuelectenerg-618	18	9	,	,	PUNCT
fuelectenerg-618	18	10	the	the	DET
fuelectenerg-618	18	11	characterization	characterization	NOUN
fuelectenerg-618	18	12	of	of	ADP
fuelectenerg-618	18	13	the	the	DET
fuelectenerg-618	18	14	respective	respective	ADJ
fuelectenerg-618	18	15	solutions	solution	NOUN
fuelectenerg-618	18	16	,	,	PUNCT
fuelectenerg-618	18	17	algorithms	algorithm	NOUN
fuelectenerg-618	18	18	to	to	PART
fuelectenerg-618	18	19	calculate	calculate	VERB
fuelectenerg-618	18	20	the	the	DET
fuelectenerg-618	18	21	solution	solution	NOUN
fuelectenerg-618	18	22	of	of	ADP
fuelectenerg-618	18	23	a	a	DET
fuelectenerg-618	18	24	bde	bde	NOUN
fuelectenerg-618	18	25	,	,	PUNCT
fuelectenerg-618	18	26	and	and	CCONJ
fuelectenerg-618	18	27	selected	select	VERB
fuelectenerg-618	18	28	applications	application	NOUN
fuelectenerg-618	18	29	.	.	PUNCT
fuelectenerg-618	19	1	we	we	PRON
fuelectenerg-618	19	2	will	will	AUX
fuelectenerg-618	19	3	show	show	VERB
fuelectenerg-618	19	4	that	that	SCONJ
fuelectenerg-618	19	5	not	not	PART
fuelectenerg-618	19	6	only	only	ADV
fuelectenerg-618	19	7	classes	class	NOUN
fuelectenerg-618	19	8	and	and	CCONJ
fuelectenerg-618	19	9	arbitrary	arbitrary	ADJ
fuelectenerg-618	19	10	sets	set	NOUN
fuelectenerg-618	19	11	of	of	ADP
fuelectenerg-618	19	12	boolean	boolean	ADJ
fuelectenerg-618	19	13	functions	function	NOUN
fuelectenerg-618	19	14	but	but	CCONJ
fuelectenerg-618	19	15	also	also	ADV
fuelectenerg-618	19	16	lattices	lattice	NOUN
fuelectenerg-618	19	17	of	of	ADP
fuelectenerg-618	19	18	boolean	boolean	ADJ
fuelectenerg-618	19	19	functions	function	NOUN
fuelectenerg-618	19	20	can	can	AUX
fuelectenerg-618	19	21	be	be	AUX
fuelectenerg-618	19	22	expressed	express	VERB
fuelectenerg-618	19	23	by	by	ADP
fuelectenerg-618	19	24	boolean	boolean	ADJ
fuelectenerg-618	19	25	differential	differential	ADJ
fuelectenerg-618	19	26	equations	equation	NOUN
fuelectenerg-618	19	27	.	.	PUNCT
fuelectenerg-618	20	1	in	in	ADP
fuelectenerg-618	20	2	order	order	NOUN
fuelectenerg-618	20	3	to	to	PART
fuelectenerg-618	20	4	reach	reach	VERB
fuelectenerg-618	20	5	this	this	DET
fuelectenerg-618	20	6	aim	aim	NOUN
fuelectenerg-618	20	7	,	,	PUNCT
fuelectenerg-618	20	8	we	we	PRON
fuelectenerg-618	20	9	give	give	VERB
fuelectenerg-618	20	10	a	a	DET
fuelectenerg-618	20	11	short	short	ADJ
fuelectenerg-618	20	12	introduction	introduction	NOUN
fuelectenerg-618	20	13	into	into	ADP
fuelectenerg-618	20	14	the	the	DET
fuelectenerg-618	20	15	bdc	bdc	NOUN
fuelectenerg-618	20	16	,	,	PUNCT
fuelectenerg-618	20	17	emphasize	emphasize	VERB
fuelectenerg-618	20	18	the	the	DET
fuelectenerg-618	20	19	general	general	ADJ
fuelectenerg-618	20	20	difference	difference	NOUN
fuelectenerg-618	20	21	between	between	ADP
fuelectenerg-618	20	22	the	the	DET
fuelectenerg-618	20	23	solutions	solution	NOUN
fuelectenerg-618	20	24	of	of	ADP
fuelectenerg-618	20	25	a	a	DET
fuelectenerg-618	20	26	boolean	boolean	ADJ
fuelectenerg-618	20	27	equation	equation	NOUN
fuelectenerg-618	20	28	and	and	CCONJ
fuelectenerg-618	20	29	a	a	DET
fuelectenerg-618	20	30	bde	bde	NOUN
fuelectenerg-618	20	31	,	,	PUNCT
fuelectenerg-618	20	32	explain	explain	VERB
fuelectenerg-618	20	33	the	the	DET
fuelectenerg-618	20	34	core	core	NOUN
fuelectenerg-618	20	35	algorithms	algorithm	NOUN
fuelectenerg-618	20	36	to	to	PART
fuelectenerg-618	20	37	solve	solve	VERB
fuelectenerg-618	20	38	a	a	DET
fuelectenerg-618	20	39	bde	bde	NOUN
fuelectenerg-618	20	40	that	that	PRON
fuelectenerg-618	20	41	is	be	AUX
fuelectenerg-618	20	42	restricted	restrict	VERB
fuelectenerg-618	20	43	to	to	ADP
fuelectenerg-618	20	44	all	all	DET
fuelectenerg-618	20	45	vectorial	vectorial	ADJ
fuelectenerg-618	20	46	derivatives	derivative	NOUN
fuelectenerg-618	20	47	of	of	ADP
fuelectenerg-618	20	48	f	f	PROPN
fuelectenerg-618	20	49	(	(	PUNCT
fuelectenerg-618	20	50	x	x	NOUN
fuelectenerg-618	20	51	)	)	PUNCT
fuelectenerg-618	20	52	and	and	CCONJ
fuelectenerg-618	20	53	optionally	optionally	ADV
fuelectenerg-618	20	54	contains	contain	VERB
fuelectenerg-618	20	55	boolean	boolean	ADJ
fuelectenerg-618	20	56	variables	variable	NOUN
fuelectenerg-618	20	57	.	.	PUNCT
fuelectenerg-618	21	1	we	we	PRON
fuelectenerg-618	21	2	explain	explain	VERB
fuelectenerg-618	21	3	formulas	formula	NOUN
fuelectenerg-618	21	4	for	for	ADP
fuelectenerg-618	21	5	transforming	transform	VERB
fuelectenerg-618	21	6	other	other	ADJ
fuelectenerg-618	21	7	derivative	derivative	ADJ
fuelectenerg-618	21	8	operations	operation	NOUN
fuelectenerg-618	21	9	to	to	ADP
fuelectenerg-618	21	10	vectorial	vectorial	ADJ
fuelectenerg-618	21	11	derivatives	derivative	NOUN
fuelectenerg-618	21	12	in	in	ADP
fuelectenerg-618	21	13	order	order	NOUN
fuelectenerg-618	21	14	to	to	PART
fuelectenerg-618	21	15	solve	solve	VERB
fuelectenerg-618	21	16	more	more	ADJ
fuelectenerg-618	21	17	general	general	ADJ
fuelectenerg-618	21	18	bdes	bde	NOUN
fuelectenerg-618	21	19	.	.	PUNCT
fuelectenerg-618	22	1	new	new	ADJ
fuelectenerg-618	22	2	fields	field	NOUN
fuelectenerg-618	22	3	of	of	ADP
fuelectenerg-618	22	4	applications	application	NOUN
fuelectenerg-618	22	5	for	for	ADP
fuelectenerg-618	22	6	bdes	bde	NOUN
fuelectenerg-618	22	7	are	be	AUX
fuelectenerg-618	22	8	simple	simple	ADJ
fuelectenerg-618	22	9	and	and	CCONJ
fuelectenerg-618	22	10	generalized	generalized	ADJ
fuelectenerg-618	22	11	lattices	lattice	NOUN
fuelectenerg-618	22	12	of	of	ADP
fuelectenerg-618	22	13	boolean	boolean	ADJ
fuelectenerg-618	22	14	functions	function	NOUN
fuelectenerg-618	22	15	.	.	PUNCT
fuelectenerg-618	23	1	we	we	PRON
fuelectenerg-618	23	2	describe	describe	VERB
fuelectenerg-618	23	3	the	the	DET
fuelectenerg-618	23	4	construction	construction	NOUN
fuelectenerg-618	23	5	,	,	PUNCT
fuelectenerg-618	23	6	simplification	simplification	NOUN
fuelectenerg-618	23	7	and	and	CCONJ
fuelectenerg-618	23	8	solution	solution	NOUN
fuelectenerg-618	23	9	.	.	PUNCT
fuelectenerg-618	24	1	manuscript	manuscript	NOUN
fuelectenerg-618	24	2	received	receive	VERB
fuelectenerg-618	24	3	november	november	PROPN
fuelectenerg-618	24	4	17	17	NUM
fuelectenerg-618	24	5	,	,	PUNCT
fuelectenerg-618	24	6	2014	2014	NUM
fuelectenerg-618	24	7	*	*	PUNCT
fuelectenerg-618	24	8	an	an	DET
fuelectenerg-618	24	9	earlier	early	ADJ
fuelectenerg-618	24	10	version	version	NOUN
fuelectenerg-618	24	11	of	of	ADP
fuelectenerg-618	24	12	this	this	DET
fuelectenerg-618	24	13	paper	paper	NOUN
fuelectenerg-618	24	14	was	be	AUX
fuelectenerg-618	24	15	presented	present	VERB
fuelectenerg-618	24	16	as	as	ADP
fuelectenerg-618	24	17	invited	invite	VERB
fuelectenerg-618	24	18	paper	paper	NOUN
fuelectenerg-618	24	19	at	at	ADP
fuelectenerg-618	24	20	the	the	DET
fuelectenerg-618	24	21	the	the	DET
fuelectenerg-618	24	22	13th	13th	ADJ
fuelectenerg-618	24	23	serbian	serbian	ADJ
fuelectenerg-618	24	24	mathematical	mathematical	ADJ
fuelectenerg-618	24	25	congress	congress	PROPN
fuelectenerg-618	24	26	(	(	PUNCT
fuelectenerg-618	24	27	smc	smc	PROPN
fuelectenerg-618	24	28	2014	2014	NUM
fuelectenerg-618	24	29	)	)	PUNCT
fuelectenerg-618	24	30	,	,	PUNCT
fuelectenerg-618	24	31	may	may	AUX
fuelectenerg-618	24	32	22	22	NUM
fuelectenerg-618	24	33	-	-	SYM
fuelectenerg-618	24	34	25	25	NUM
fuelectenerg-618	24	35	,	,	PUNCT
fuelectenerg-618	24	36	2014	2014	NUM
fuelectenerg-618	24	37	,	,	PUNCT
fuelectenerg-618	24	38	in	in	ADP
fuelectenerg-618	24	39	vrnjačka	vrnjačka	PROPN
fuelectenerg-618	24	40	banja	banja	PROPN
fuelectenerg-618	24	41	,	,	PUNCT
fuelectenerg-618	24	42	serbia	serbia	PROPN
fuelectenerg-618	24	43	.	.	PUNCT
fuelectenerg-618	25	1	corresponding	correspond	VERB
fuelectenerg-618	25	2	author	author	NOUN
fuelectenerg-618	25	3	:	:	PUNCT
fuelectenerg-618	25	4	bernd	bernd	PROPN
fuelectenerg-618	25	5	steinbach	steinbach	PROPN
fuelectenerg-618	25	6	institute	institute	PROPN
fuelectenerg-618	25	7	of	of	ADP
fuelectenerg-618	25	8	computer	computer	NOUN
fuelectenerg-618	25	9	science	science	NOUN
fuelectenerg-618	25	10	,	,	PUNCT
fuelectenerg-618	25	11	freiberg	freiberg	PROPN
fuelectenerg-618	25	12	university	university	PROPN
fuelectenerg-618	25	13	of	of	ADP
fuelectenerg-618	25	14	mining	mining	NOUN
fuelectenerg-618	25	15	and	and	CCONJ
fuelectenerg-618	25	16	technology	technology	NOUN
fuelectenerg-618	25	17	,	,	PUNCT
fuelectenerg-618	25	18	bernhard	bernhard	PROPN
fuelectenerg-618	25	19	-	-	PUNCT
fuelectenerg-618	25	20	von	von	PROPN
fuelectenerg-618	25	21	-	-	PUNCT
fuelectenerg-618	25	22	cottastr	cottastr	PROPN
fuelectenerg-618	25	23	.	.	PUNCT
fuelectenerg-618	26	1	2	2	NUM
fuelectenerg-618	26	2	,	,	PUNCT
fuelectenerg-618	26	3	d-09596	d-09596	PROPN
fuelectenerg-618	26	4	freiberg	freiberg	PROPN
fuelectenerg-618	26	5	,	,	PUNCT
fuelectenerg-618	26	6	germany	germany	PROPN
fuelectenerg-618	26	7	(	(	PUNCT
fuelectenerg-618	26	8	e	e	NOUN
fuelectenerg-618	26	9	-	-	NOUN
fuelectenerg-618	26	10	mail	mail	NOUN
fuelectenerg-618	26	11	:	:	PUNCT
fuelectenerg-618	26	12	steinb@informatik	steinb@informatik	PROPN
fuelectenerg-618	26	13	)	)	PUNCT
fuelectenerg-618	26	14	.	.	PUNCT
fuelectenerg-618	27	1	101	101	NUM
fuelectenerg-618	27	2	facta	facta	PROPN
fuelectenerg-618	27	3	universitatis	universitatis	PROPN
fuelectenerg-618	27	4	series	series	NOUN
fuelectenerg-618	27	5	:	:	PUNCT
fuelectenerg-618	27	6	electronics	electronic	NOUN
fuelectenerg-618	27	7	and	and	CCONJ
fuelectenerg-618	27	8	energetics	energetics	NOUN
fuelectenerg-618	27	9	vol	vol	NOUN
fuelectenerg-618	27	10	.	.	PUNCT
fuelectenerg-618	27	11	28	28	NUM
fuelectenerg-618	27	12	,	,	PUNCT
fuelectenerg-618	27	13	no	no	DET
fuelectenerg-618	27	14	1	1	NUM
fuelectenerg-618	27	15	,	,	PUNCT
fuelectenerg-618	27	16	march	march	PROPN
fuelectenerg-618	27	17	2015	2015	NUM
fuelectenerg-618	27	18	,	,	PUNCT
fuelectenerg-618	27	19	pp	pp	ADV
fuelectenerg-618	27	20	.	.	PUNCT
fuelectenerg-618	28	1	51	51	NUM
fuelectenerg-618	28	2	76	76	NUM
fuelectenerg-618	28	3	doi	doi	NOUN
fuelectenerg-618	28	4	:	:	PUNCT
fuelectenerg-618	28	5	10.2298	10.2298	NUM
fuelectenerg-618	28	6	/	/	SYM
fuelectenerg-618	28	7	fuee1501051s	fuee1501051	NOUN
fuelectenerg-618	28	8	received	receive	VERB
fuelectenerg-618	28	9	november	november	PROPN
fuelectenerg-618	28	10	17	17	NUM
fuelectenerg-618	28	11	,	,	PUNCT
fuelectenerg-618	28	12	2014	2014	NUM
fuelectenerg-618	28	13	*	*	PUNCT
fuelectenerg-618	28	14	an	an	DET
fuelectenerg-618	28	15	earlier	early	ADJ
fuelectenerg-618	28	16	version	version	NOUN
fuelectenerg-618	28	17	of	of	ADP
fuelectenerg-618	28	18	this	this	DET
fuelectenerg-618	28	19	paper	paper	NOUN
fuelectenerg-618	28	20	was	be	AUX
fuelectenerg-618	28	21	presented	present	VERB
fuelectenerg-618	28	22	as	as	ADP
fuelectenerg-618	28	23	invited	invite	VERB
fuelectenerg-618	28	24	paper	paper	NOUN
fuelectenerg-618	28	25	at	at	ADP
fuelectenerg-618	28	26	the	the	DET
fuelectenerg-618	28	27	the	the	DET
fuelectenerg-618	28	28	13th	13th	ADJ
fuelectenerg-618	28	29	serbian	serbian	ADJ
fuelectenerg-618	28	30	mathematical	mathematical	ADJ
fuelectenerg-618	28	31	congress	congress	PROPN
fuelectenerg-618	28	32	(	(	PUNCT
fuelectenerg-618	28	33	smc	smc	PROPN
fuelectenerg-618	28	34	2014	2014	NUM
fuelectenerg-618	28	35	)	)	PUNCT
fuelectenerg-618	28	36	,	,	PUNCT
fuelectenerg-618	28	37	may	may	AUX
fuelectenerg-618	28	38	22	22	NUM
fuelectenerg-618	28	39	-	-	SYM
fuelectenerg-618	28	40	25	25	NUM
fuelectenerg-618	28	41	,	,	PUNCT
fuelectenerg-618	28	42	2014	2014	NUM
fuelectenerg-618	28	43	,	,	PUNCT
fuelectenerg-618	28	44	in	in	ADP
fuelectenerg-618	28	45	vrnjačka	vrnjačka	NOUN
fuelectenerg-618	28	46	banja	banja	PROPN
fuelectenerg-618	28	47	,	,	PUNCT
fuelectenerg-618	28	48	serbia	serbia	PROPN
fuelectenerg-618	28	49	.	.	PUNCT
fuelectenerg-618	29	1	corresponding	correspond	VERB
fuelectenerg-618	29	2	author	author	NOUN
fuelectenerg-618	29	3	:	:	PUNCT
fuelectenerg-618	29	4	bernd	bernd	PROPN
fuelectenerg-618	29	5	steinbach	steinbach	PROPN
fuelectenerg-618	29	6	institute	institute	PROPN
fuelectenerg-618	29	7	of	of	ADP
fuelectenerg-618	29	8	computer	computer	NOUN
fuelectenerg-618	29	9	science	science	NOUN
fuelectenerg-618	29	10	,	,	PUNCT
fuelectenerg-618	29	11	freiberg	freiberg	PROPN
fuelectenerg-618	29	12	university	university	PROPN
fuelectenerg-618	29	13	of	of	ADP
fuelectenerg-618	29	14	mining	mining	NOUN
fuelectenerg-618	29	15	and	and	CCONJ
fuelectenerg-618	29	16	technology	technology	NOUN
fuelectenerg-618	29	17	,	,	PUNCT
fuelectenerg-618	29	18	bernhard	bernhard	PROPN
fuelectenerg-618	29	19	-	-	PUNCT
fuelectenerg-618	29	20	von	von	PROPN
fuelectenerg-618	29	21	-	-	PUNCT
fuelectenerg-618	29	22	cotta	cotta	NOUN
fuelectenerg-618	29	23	-	-	PUNCT
fuelectenerg-618	29	24	str	str	NOUN
fuelectenerg-618	29	25	.	.	PUNCT
fuelectenerg-618	30	1	2	2	NUM
fuelectenerg-618	30	2	,	,	PUNCT
fuelectenerg-618	30	3	d-09596	d-09596	PROPN
fuelectenerg-618	30	4	freiberg	freiberg	PROPN
fuelectenerg-618	30	5	,	,	PUNCT
fuelectenerg-618	30	6	germany	germany	PROPN
fuelectenerg-618	30	7	(	(	PUNCT
fuelectenerg-618	30	8	e	e	NOUN
fuelectenerg-618	30	9	-	-	NOUN
fuelectenerg-618	30	10	mail	mail	NOUN
fuelectenerg-618	30	11	:	:	PUNCT
fuelectenerg-618	30	12	steinb@informatik	steinb@informatik	PROPN
fuelectenerg-618	30	13	)	)	PUNCT
fuelectenerg-618	30	14	102	102	NUM
fuelectenerg-618	30	15	b.	b.	PROPN
fuelectenerg-618	30	16	steinbach	steinbach	PROPN
fuelectenerg-618	30	17	and	and	CCONJ
fuelectenerg-618	30	18	c.	c.	PROPN
fuelectenerg-618	30	19	posthoff	posthoff	VERB
fuelectenerg-618	30	20	the	the	DET
fuelectenerg-618	30	21	basic	basic	ADJ
fuelectenerg-618	30	22	operations	operation	NOUN
fuelectenerg-618	30	23	of	of	ADP
fuelectenerg-618	30	24	xboole	xboole	PROPN
fuelectenerg-618	30	25	are	be	AUX
fuelectenerg-618	30	26	sufficient	sufficient	ADJ
fuelectenerg-618	30	27	to	to	PART
fuelectenerg-618	30	28	solve	solve	VERB
fuelectenerg-618	30	29	bdes	bde	NOUN
fuelectenerg-618	30	30	.	.	PUNCT
fuelectenerg-618	31	1	we	we	PRON
fuelectenerg-618	31	2	demonstrate	demonstrate	VERB
fuelectenerg-618	31	3	how	how	SCONJ
fuelectenerg-618	31	4	a	a	DET
fuelectenerg-618	31	5	xboole	xboole	NOUN
fuelectenerg-618	31	6	-	-	PUNCT
fuelectenerg-618	31	7	problem	problem	NOUN
fuelectenerg-618	31	8	program	program	NOUN
fuelectenerg-618	31	9	(	(	PUNCT
fuelectenerg-618	31	10	prp	prp	PROPN
fuelectenerg-618	31	11	)	)	PUNCT
fuelectenerg-618	31	12	of	of	ADP
fuelectenerg-618	31	13	the	the	DET
fuelectenerg-618	31	14	freely	freely	ADV
fuelectenerg-618	31	15	available	available	ADJ
fuelectenerg-618	31	16	xboole	xboole	NOUN
fuelectenerg-618	31	17	-	-	PUNCT
fuelectenerg-618	31	18	monitor	monitor	NOUN
fuelectenerg-618	31	19	quickly	quickly	ADV
fuelectenerg-618	31	20	solves	solve	VERB
fuelectenerg-618	31	21	some	some	DET
fuelectenerg-618	31	22	bdes	bde	NOUN
fuelectenerg-618	31	23	.	.	PUNCT
fuelectenerg-618	32	1	keywords	keyword	NOUN
fuelectenerg-618	32	2	:	:	PUNCT
fuelectenerg-618	32	3	boolean	boolean	ADJ
fuelectenerg-618	32	4	differential	differential	ADJ
fuelectenerg-618	32	5	calculus	calculus	NOUN
fuelectenerg-618	32	6	,	,	PUNCT
fuelectenerg-618	32	7	boolean	boolean	ADJ
fuelectenerg-618	32	8	differential	differential	NOUN
fuelectenerg-618	32	9	equation	equation	NOUN
fuelectenerg-618	32	10	(	(	PUNCT
fuelectenerg-618	32	11	bde	bde	PROPN
fuelectenerg-618	32	12	)	)	PUNCT
fuelectenerg-618	32	13	,	,	PUNCT
fuelectenerg-618	32	14	classes	class	NOUN
fuelectenerg-618	32	15	of	of	ADP
fuelectenerg-618	32	16	boolean	boolean	ADJ
fuelectenerg-618	32	17	functions	function	NOUN
fuelectenerg-618	32	18	,	,	PUNCT
fuelectenerg-618	32	19	lattices	lattice	NOUN
fuelectenerg-618	32	20	of	of	ADP
fuelectenerg-618	32	21	boolean	boolean	ADJ
fuelectenerg-618	32	22	functions	function	NOUN
fuelectenerg-618	32	23	,	,	PUNCT
fuelectenerg-618	32	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	32	25	sets	set	NOUN
fuelectenerg-618	32	26	of	of	ADP
fuelectenerg-618	32	27	boolean	boolean	ADJ
fuelectenerg-618	32	28	functions	function	NOUN
fuelectenerg-618	32	29	,	,	PUNCT
fuelectenerg-618	32	30	lattice	lattice	NOUN
fuelectenerg-618	32	31	-	-	PUNCT
fuelectenerg-618	32	32	bde	bde	NOUN
fuelectenerg-618	32	33	,	,	PUNCT
fuelectenerg-618	32	34	xboole	xboole	PROPN
fuelectenerg-618	32	35	.	.	PUNCT
fuelectenerg-618	33	1	1	1	NUM
fuelectenerg-618	33	2	introduction	introduction	NOUN
fuelectenerg-618	33	3	boolean	boolean	ADJ
fuelectenerg-618	33	4	variables	variable	NOUN
fuelectenerg-618	33	5	are	be	AUX
fuelectenerg-618	33	6	the	the	DET
fuelectenerg-618	33	7	simplest	simple	ADJ
fuelectenerg-618	33	8	variables	variable	NOUN
fuelectenerg-618	33	9	.	.	PUNCT
fuelectenerg-618	34	1	a	a	DET
fuelectenerg-618	34	2	boolean	boolean	ADJ
fuelectenerg-618	34	3	variable	variable	NOUN
fuelectenerg-618	34	4	carries	carry	VERB
fuelectenerg-618	34	5	only	only	ADV
fuelectenerg-618	34	6	one	one	NUM
fuelectenerg-618	34	7	element	element	NOUN
fuelectenerg-618	34	8	of	of	ADP
fuelectenerg-618	34	9	the	the	DET
fuelectenerg-618	34	10	set	set	NOUN
fuelectenerg-618	34	11	b	b	PROPN
fuelectenerg-618	34	12	=	=	SYM
fuelectenerg-618	34	13	{	{	PUNCT
fuelectenerg-618	34	14	0,1	0,1	NUM
fuelectenerg-618	34	15	}	}	PUNCT
fuelectenerg-618	34	16	.	.	PUNCT
fuelectenerg-618	35	1	these	these	DET
fuelectenerg-618	35	2	two	two	NUM
fuelectenerg-618	35	3	values	value	NOUN
fuelectenerg-618	35	4	can	can	AUX
fuelectenerg-618	35	5	be	be	AUX
fuelectenerg-618	35	6	easily	easily	ADV
fuelectenerg-618	35	7	distinguished	distinguish	VERB
fuelectenerg-618	35	8	from	from	ADP
fuelectenerg-618	35	9	each	each	DET
fuelectenerg-618	35	10	other	other	ADJ
fuelectenerg-618	35	11	in	in	ADP
fuelectenerg-618	35	12	technical	technical	ADJ
fuelectenerg-618	35	13	systems	system	NOUN
fuelectenerg-618	35	14	.	.	PUNCT
fuelectenerg-618	36	1	therefore	therefore	ADV
fuelectenerg-618	36	2	we	we	PRON
fuelectenerg-618	36	3	get	get	VERB
fuelectenerg-618	36	4	more	more	ADJ
fuelectenerg-618	36	5	and	and	CCONJ
fuelectenerg-618	36	6	more	more	ADJ
fuelectenerg-618	36	7	digital	digital	ADJ
fuelectenerg-618	36	8	systems	system	NOUN
fuelectenerg-618	36	9	.	.	PUNCT
fuelectenerg-618	37	1	boolean	boolean	ADJ
fuelectenerg-618	37	2	functions	function	NOUN
fuelectenerg-618	37	3	,	,	PUNCT
fuelectenerg-618	37	4	the	the	DET
fuelectenerg-618	37	5	operations	operation	NOUN
fuelectenerg-618	37	6	of	of	ADP
fuelectenerg-618	37	7	the	the	DET
fuelectenerg-618	37	8	boolean	boolean	ADJ
fuelectenerg-618	37	9	algebra	algebra	NOUN
fuelectenerg-618	37	10	,	,	PUNCT
fuelectenerg-618	37	11	and	and	CCONJ
fuelectenerg-618	37	12	boolean	boolean	ADJ
fuelectenerg-618	37	13	equations	equation	NOUN
fuelectenerg-618	37	14	[	[	X
fuelectenerg-618	37	15	1	1	X
fuelectenerg-618	37	16	]	]	PUNCT
fuelectenerg-618	37	17	are	be	AUX
fuelectenerg-618	37	18	well	well	ADV
fuelectenerg-618	37	19	known	known	ADJ
fuelectenerg-618	37	20	to	to	PART
fuelectenerg-618	37	21	solve	solve	VERB
fuelectenerg-618	37	22	many	many	ADJ
fuelectenerg-618	37	23	tasks	task	NOUN
fuelectenerg-618	37	24	for	for	ADP
fuelectenerg-618	37	25	digital	digital	ADJ
fuelectenerg-618	37	26	systems	system	NOUN
fuelectenerg-618	37	27	.	.	PUNCT
fuelectenerg-618	38	1	the	the	DET
fuelectenerg-618	38	2	solution	solution	NOUN
fuelectenerg-618	38	3	of	of	ADP
fuelectenerg-618	38	4	a	a	DET
fuelectenerg-618	38	5	boolean	boolean	ADJ
fuelectenerg-618	38	6	equation	equation	NOUN
fuelectenerg-618	38	7	is	be	AUX
fuelectenerg-618	38	8	a	a	DET
fuelectenerg-618	38	9	set	set	NOUN
fuelectenerg-618	38	10	of	of	ADP
fuelectenerg-618	38	11	boolean	boolean	ADJ
fuelectenerg-618	38	12	vectors	vector	NOUN
fuelectenerg-618	38	13	which	which	PRON
fuelectenerg-618	38	14	describes	describe	VERB
fuelectenerg-618	38	15	,	,	PUNCT
fuelectenerg-618	38	16	e.g.	e.g.	ADV
fuelectenerg-618	38	17	,	,	PUNCT
fuelectenerg-618	38	18	the	the	DET
fuelectenerg-618	38	19	behavior	behavior	NOUN
fuelectenerg-618	38	20	of	of	ADP
fuelectenerg-618	38	21	a	a	DET
fuelectenerg-618	38	22	circuit	circuit	NOUN
fuelectenerg-618	38	23	.	.	PUNCT
fuelectenerg-618	39	1	however	however	ADV
fuelectenerg-618	39	2	,	,	PUNCT
fuelectenerg-618	39	3	this	this	DET
fuelectenerg-618	39	4	theory	theory	NOUN
fuelectenerg-618	39	5	is	be	AUX
fuelectenerg-618	39	6	restricted	restrict	VERB
fuelectenerg-618	39	7	to	to	ADP
fuelectenerg-618	39	8	fixed	fix	VERB
fuelectenerg-618	39	9	values	value	NOUN
fuelectenerg-618	39	10	for	for	ADP
fuelectenerg-618	39	11	a	a	DET
fuelectenerg-618	39	12	given	give	VERB
fuelectenerg-618	39	13	point	point	NOUN
fuelectenerg-618	39	14	in	in	ADP
fuelectenerg-618	39	15	time	time	NOUN
fuelectenerg-618	39	16	.	.	PUNCT
fuelectenerg-618	40	1	the	the	DET
fuelectenerg-618	40	2	boolean	boolean	ADJ
fuelectenerg-618	40	3	differential	differential	ADJ
fuelectenerg-618	40	4	calculus	calculus	NOUN
fuelectenerg-618	40	5	(	(	PUNCT
fuelectenerg-618	40	6	bdc	bdc	PROPN
fuelectenerg-618	40	7	)	)	PUNCT
fuelectenerg-618	41	1	[	[	X
fuelectenerg-618	41	2	1–3	1–3	X
fuelectenerg-618	41	3	]	]	PUNCT
fuelectenerg-618	41	4	allows	allow	VERB
fuelectenerg-618	41	5	us	we	PRON
fuelectenerg-618	41	6	to	to	PART
fuelectenerg-618	41	7	study	study	VERB
fuelectenerg-618	41	8	the	the	DET
fuelectenerg-618	41	9	change	change	NOUN
fuelectenerg-618	41	10	of	of	ADP
fuelectenerg-618	41	11	the	the	DET
fuelectenerg-618	41	12	values	value	NOUN
fuelectenerg-618	41	13	of	of	ADP
fuelectenerg-618	41	14	boolean	boolean	ADJ
fuelectenerg-618	41	15	variables	variable	NOUN
fuelectenerg-618	41	16	and	and	CCONJ
fuelectenerg-618	41	17	boolean	boolean	ADJ
fuelectenerg-618	41	18	functions	function	NOUN
fuelectenerg-618	41	19	.	.	PUNCT
fuelectenerg-618	42	1	the	the	DET
fuelectenerg-618	42	2	substitution	substitution	NOUN
fuelectenerg-618	42	3	of	of	ADP
fuelectenerg-618	42	4	the	the	DET
fuelectenerg-618	42	5	derivative	derivative	ADJ
fuelectenerg-618	42	6	operations	operation	NOUN
fuelectenerg-618	42	7	of	of	ADP
fuelectenerg-618	42	8	the	the	DET
fuelectenerg-618	42	9	bdc	bdc	NOUN
fuelectenerg-618	42	10	into	into	ADP
fuelectenerg-618	42	11	a	a	DET
fuelectenerg-618	42	12	boolean	boolean	ADJ
fuelectenerg-618	42	13	equation	equation	NOUN
fuelectenerg-618	42	14	leads	lead	VERB
fuelectenerg-618	42	15	to	to	ADP
fuelectenerg-618	42	16	a	a	DET
fuelectenerg-618	42	17	boolean	boolean	ADJ
fuelectenerg-618	42	18	differential	differential	NOUN
fuelectenerg-618	42	19	equation	equation	NOUN
fuelectenerg-618	42	20	(	(	PUNCT
fuelectenerg-618	42	21	bde	bde	NOUN
fuelectenerg-618	42	22	)	)	PUNCT
fuelectenerg-618	43	1	[	[	X
fuelectenerg-618	43	2	4	4	NUM
fuelectenerg-618	43	3	,	,	PUNCT
fuelectenerg-618	43	4	5	5	NUM
fuelectenerg-618	43	5	]	]	PUNCT
fuelectenerg-618	43	6	.	.	PUNCT
fuelectenerg-618	44	1	a	a	DET
fuelectenerg-618	44	2	bde	bde	PROPN
fuelectenerg-618	44	3	has	have	VERB
fuelectenerg-618	44	4	a	a	DET
fuelectenerg-618	44	5	more	more	ADV
fuelectenerg-618	44	6	general	general	ADJ
fuelectenerg-618	44	7	solution	solution	NOUN
fuelectenerg-618	44	8	and	and	CCONJ
fuelectenerg-618	44	9	consequently	consequently	ADV
fuelectenerg-618	44	10	opens	open	VERB
fuelectenerg-618	44	11	a	a	DET
fuelectenerg-618	44	12	wider	wide	ADJ
fuelectenerg-618	44	13	field	field	NOUN
fuelectenerg-618	44	14	of	of	ADP
fuelectenerg-618	44	15	applications	application	NOUN
fuelectenerg-618	44	16	.	.	PUNCT
fuelectenerg-618	45	1	we	we	PRON
fuelectenerg-618	45	2	show	show	VERB
fuelectenerg-618	45	3	in	in	ADP
fuelectenerg-618	45	4	this	this	DET
fuelectenerg-618	45	5	paper	paper	NOUN
fuelectenerg-618	45	6	how	how	SCONJ
fuelectenerg-618	45	7	lattices	lattice	NOUN
fuelectenerg-618	45	8	of	of	ADP
fuelectenerg-618	45	9	boolean	boolean	ADJ
fuelectenerg-618	45	10	functions	function	NOUN
fuelectenerg-618	45	11	can	can	AUX
fuelectenerg-618	45	12	be	be	AUX
fuelectenerg-618	45	13	expressed	express	VERB
fuelectenerg-618	45	14	by	by	ADP
fuelectenerg-618	45	15	bdes	bde	NOUN
fuelectenerg-618	45	16	.	.	PUNCT
fuelectenerg-618	46	1	we	we	PRON
fuelectenerg-618	46	2	will	will	AUX
fuelectenerg-618	46	3	show	show	VERB
fuelectenerg-618	46	4	that	that	SCONJ
fuelectenerg-618	46	5	additionally	additionally	ADV
fuelectenerg-618	46	6	to	to	ADP
fuelectenerg-618	46	7	the	the	DET
fuelectenerg-618	46	8	well	well	ADV
fuelectenerg-618	46	9	known	know	VERB
fuelectenerg-618	46	10	lattices	lattice	NOUN
fuelectenerg-618	46	11	of	of	ADP
fuelectenerg-618	46	12	incompletely	incompletely	ADV
fuelectenerg-618	46	13	specified	specify	VERB
fuelectenerg-618	46	14	functions	function	NOUN
fuelectenerg-618	46	15	also	also	ADV
fuelectenerg-618	46	16	more	more	ADV
fuelectenerg-618	46	17	general	general	ADJ
fuelectenerg-618	46	18	lattices	lattice	NOUN
fuelectenerg-618	46	19	of	of	ADP
fuelectenerg-618	46	20	boolean	boolean	ADJ
fuelectenerg-618	46	21	functions	function	NOUN
fuelectenerg-618	46	22	can	can	AUX
fuelectenerg-618	46	23	be	be	AUX
fuelectenerg-618	46	24	described	describe	VERB
fuelectenerg-618	46	25	in	in	ADP
fuelectenerg-618	46	26	an	an	DET
fuelectenerg-618	46	27	easy	easy	ADJ
fuelectenerg-618	46	28	way	way	NOUN
fuelectenerg-618	46	29	using	use	VERB
fuelectenerg-618	46	30	the	the	DET
fuelectenerg-618	46	31	new	new	ADJ
fuelectenerg-618	46	32	special	special	ADJ
fuelectenerg-618	46	33	lattice	lattice	NOUN
fuelectenerg-618	46	34	-	-	PUNCT
fuelectenerg-618	46	35	bde	bde	NOUN
fuelectenerg-618	46	36	.	.	PUNCT
fuelectenerg-618	47	1	the	the	DET
fuelectenerg-618	47	2	generalized	generalize	VERB
fuelectenerg-618	47	3	lattices	lattice	NOUN
fuelectenerg-618	47	4	of	of	ADP
fuelectenerg-618	47	5	boolean	boolean	ADJ
fuelectenerg-618	47	6	functions	function	NOUN
fuelectenerg-618	47	7	open	open	VERB
fuelectenerg-618	47	8	a	a	DET
fuelectenerg-618	47	9	new	new	ADJ
fuelectenerg-618	47	10	field	field	NOUN
fuelectenerg-618	47	11	of	of	ADP
fuelectenerg-618	47	12	applications	application	NOUN
fuelectenerg-618	47	13	.	.	PUNCT
fuelectenerg-618	48	1	the	the	DET
fuelectenerg-618	48	2	rest	rest	NOUN
fuelectenerg-618	48	3	of	of	ADP
fuelectenerg-618	48	4	this	this	DET
fuelectenerg-618	48	5	paper	paper	NOUN
fuelectenerg-618	48	6	is	be	AUX
fuelectenerg-618	48	7	organized	organize	VERB
fuelectenerg-618	48	8	as	as	SCONJ
fuelectenerg-618	48	9	follows	follow	VERB
fuelectenerg-618	48	10	.	.	PUNCT
fuelectenerg-618	49	1	section	section	NOUN
fuelectenerg-618	49	2	2	2	NUM
fuelectenerg-618	49	3	defines	define	VERB
fuelectenerg-618	49	4	the	the	DET
fuelectenerg-618	49	5	derivative	derivative	ADJ
fuelectenerg-618	49	6	operations	operation	NOUN
fuelectenerg-618	49	7	of	of	ADP
fuelectenerg-618	49	8	the	the	DET
fuelectenerg-618	49	9	bdc	bdc	NOUN
fuelectenerg-618	49	10	and	and	CCONJ
fuelectenerg-618	49	11	briefly	briefly	NOUN
fuelectenerg-618	49	12	explains	explain	VERB
fuelectenerg-618	49	13	their	their	PRON
fuelectenerg-618	49	14	meaning	meaning	NOUN
fuelectenerg-618	49	15	.	.	PUNCT
fuelectenerg-618	50	1	section	section	NOUN
fuelectenerg-618	50	2	3	3	NUM
fuelectenerg-618	50	3	summarizes	summarize	VERB
fuelectenerg-618	50	4	the	the	DET
fuelectenerg-618	50	5	known	know	VERB
fuelectenerg-618	50	6	theory	theory	NOUN
fuelectenerg-618	50	7	of	of	ADP
fuelectenerg-618	50	8	boolean	boolean	ADJ
fuelectenerg-618	50	9	differential	differential	ADJ
fuelectenerg-618	50	10	equations	equation	NOUN
fuelectenerg-618	50	11	,	,	PUNCT
fuelectenerg-618	50	12	introduces	introduce	VERB
fuelectenerg-618	50	13	algorithms	algorithm	NOUN
fuelectenerg-618	50	14	that	that	PRON
fuelectenerg-618	50	15	calculates	calculate	VERB
fuelectenerg-618	50	16	either	either	DET
fuelectenerg-618	50	17	sets	set	NOUN
fuelectenerg-618	50	18	of	of	ADP
fuelectenerg-618	50	19	classes	class	NOUN
fuelectenerg-618	50	20	of	of	ADP
fuelectenerg-618	50	21	boolean	boolean	ADJ
fuelectenerg-618	50	22	functions	function	NOUN
fuelectenerg-618	50	23	or	or	CCONJ
fuelectenerg-618	50	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	50	25	sets	set	NOUN
fuelectenerg-618	50	26	of	of	ADP
fuelectenerg-618	50	27	boolean	boolean	ADJ
fuelectenerg-618	50	28	functions	function	NOUN
fuelectenerg-618	50	29	as	as	ADP
fuelectenerg-618	50	30	the	the	DET
fuelectenerg-618	50	31	solution	solution	NOUN
fuelectenerg-618	50	32	of	of	ADP
fuelectenerg-618	50	33	a	a	DET
fuelectenerg-618	50	34	bde	bde	NOUN
fuelectenerg-618	50	35	,	,	PUNCT
fuelectenerg-618	50	36	explains	explain	VERB
fuelectenerg-618	50	37	a	a	DET
fuelectenerg-618	50	38	method	method	NOUN
fuelectenerg-618	50	39	to	to	PART
fuelectenerg-618	50	40	map	map	VERB
fuelectenerg-618	50	41	a	a	DET
fuelectenerg-618	50	42	more	more	ADV
fuelectenerg-618	50	43	general	general	ADJ
fuelectenerg-618	50	44	bde	bde	NOUN
fuelectenerg-618	50	45	into	into	ADP
fuelectenerg-618	50	46	the	the	DET
fuelectenerg-618	50	47	form	form	NOUN
fuelectenerg-618	50	48	needed	need	VERB
fuelectenerg-618	50	49	for	for	ADP
fuelectenerg-618	50	50	one	one	NUM
fuelectenerg-618	50	51	of	of	ADP
fuelectenerg-618	50	52	these	these	DET
fuelectenerg-618	50	53	algorithms	algorithm	NOUN
fuelectenerg-618	50	54	,	,	PUNCT
fuelectenerg-618	50	55	and	and	CCONJ
fuelectenerg-618	50	56	shows	show	VERB
fuelectenerg-618	50	57	how	how	SCONJ
fuelectenerg-618	50	58	a	a	DET
fuelectenerg-618	50	59	xbooleproblem	xbooleproblem	NOUN
fuelectenerg-618	50	60	programs	program	NOUN
fuelectenerg-618	50	61	(	(	PUNCT
fuelectenerg-618	50	62	prp	prp	PROPN
fuelectenerg-618	50	63	)	)	PUNCT
fuelectenerg-618	50	64	can	can	AUX
fuelectenerg-618	50	65	solve	solve	VERB
fuelectenerg-618	50	66	a	a	DET
fuelectenerg-618	50	67	bde	bde	NOUN
fuelectenerg-618	50	68	in	in	ADP
fuelectenerg-618	50	69	the	the	DET
fuelectenerg-618	50	70	xboole	xboole	NOUN
fuelectenerg-618	50	71	-	-	PUNCT
fuelectenerg-618	50	72	monitor	monitor	NOUN
fuelectenerg-618	50	73	.	.	PUNCT
fuelectenerg-618	51	1	lattices	lattice	NOUN
fuelectenerg-618	51	2	of	of	ADP
fuelectenerg-618	51	3	boolean	boolean	ADJ
fuelectenerg-618	51	4	functions	function	NOUN
fuelectenerg-618	51	5	are	be	AUX
fuelectenerg-618	51	6	discussed	discuss	VERB
fuelectenerg-618	51	7	in	in	ADP
fuelectenerg-618	51	8	section	section	NOUN
fuelectenerg-618	51	9	4	4	NUM
fuelectenerg-618	51	10	as	as	ADP
fuelectenerg-618	51	11	a	a	DET
fuelectenerg-618	51	12	new	new	ADJ
fuelectenerg-618	51	13	field	field	NOUN
fuelectenerg-618	51	14	of	of	ADP
fuelectenerg-618	51	15	applications	application	NOUN
fuelectenerg-618	51	16	of	of	ADP
fuelectenerg-618	51	17	bdes	bde	NOUN
fuelectenerg-618	51	18	.	.	PUNCT
fuelectenerg-618	52	1	both	both	CCONJ
fuelectenerg-618	52	2	the	the	DET
fuelectenerg-618	52	3	well	well	ADV
fuelectenerg-618	52	4	known	know	VERB
fuelectenerg-618	52	5	lattices	lattice	NOUN
fuelectenerg-618	52	6	that	that	PRON
fuelectenerg-618	52	7	describe	describe	VERB
fuelectenerg-618	52	8	incompletely	incompletely	ADV
fuelectenerg-618	52	9	specified	specify	VERB
fuelectenerg-618	52	10	functions	function	NOUN
fuelectenerg-618	52	11	(	(	PUNCT
fuelectenerg-618	52	12	isf	isf	NOUN
fuelectenerg-618	52	13	)	)	PUNCT
fuelectenerg-618	52	14	and	and	CCONJ
fuelectenerg-618	52	15	a	a	DET
fuelectenerg-618	52	16	more	more	ADV
fuelectenerg-618	52	17	general	general	ADJ
fuelectenerg-618	52	18	type	type	NOUN
fuelectenerg-618	52	19	of	of	ADP
fuelectenerg-618	52	20	lattices	lattice	NOUN
fuelectenerg-618	52	21	of	of	ADP
fuelectenerg-618	52	22	boolean	boolean	ADJ
fuelectenerg-618	52	23	functions	function	NOUN
fuelectenerg-618	52	24	are	be	AUX
fuelectenerg-618	52	25	uniquely	uniquely	ADV
fuelectenerg-618	52	26	described	describe	VERB
fuelectenerg-618	52	27	using	use	VERB
fuelectenerg-618	52	28	lattice	lattice	NOUN
fuelectenerg-618	52	29	-	-	PUNCT
fuelectenerg-618	52	30	bdes	bde	NOUN
fuelectenerg-618	52	31	.	.	PUNCT
fuelectenerg-618	53	1	several	several	ADJ
fuelectenerg-618	53	2	examples	example	NOUN
fuelectenerg-618	53	3	show	show	VERB
fuelectenerg-618	53	4	that	that	SCONJ
fuelectenerg-618	53	5	the	the	DET
fuelectenerg-618	53	6	known	know	VERB
fuelectenerg-618	53	7	algorithm	algorithm	NOUN
fuelectenerg-618	53	8	can	can	AUX
fuelectenerg-618	53	9	be	be	AUX
fuelectenerg-618	53	10	used	use	VERB
fuelectenerg-618	53	11	to	to	PART
fuelectenerg-618	53	12	solve	solve	VERB
fuelectenerg-618	53	13	different	different	ADJ
fuelectenerg-618	53	14	types	type	NOUN
fuelectenerg-618	53	15	of	of	ADP
fuelectenerg-618	53	16	lattice	lattice	NOUN
fuelectenerg-618	53	17	-	-	PUNCT
fuelectenerg-618	53	18	bdes	bde	NOUN
fuelectenerg-618	53	19	.	.	PUNCT
fuelectenerg-618	54	1	finally	finally	ADV
fuelectenerg-618	54	2	,	,	PUNCT
fuelectenerg-618	54	3	section	section	NOUN
fuelectenerg-618	54	4	5	5	NUM
fuelectenerg-618	54	5	concludes	conclude	VERB
fuelectenerg-618	54	6	this	this	DET
fuelectenerg-618	54	7	paper	paper	NOUN
fuelectenerg-618	54	8	.	.	PUNCT
fuelectenerg-618	55	1	102	102	NUM
fuelectenerg-618	55	2	b.	b.	PROPN
fuelectenerg-618	55	3	steinbach	steinbach	PROPN
fuelectenerg-618	55	4	and	and	CCONJ
fuelectenerg-618	55	5	c.	c.	PROPN
fuelectenerg-618	55	6	posthoff	posthoff	VERB
fuelectenerg-618	55	7	the	the	DET
fuelectenerg-618	55	8	basic	basic	ADJ
fuelectenerg-618	55	9	operations	operation	NOUN
fuelectenerg-618	55	10	of	of	ADP
fuelectenerg-618	55	11	xboole	xboole	PROPN
fuelectenerg-618	55	12	are	be	AUX
fuelectenerg-618	55	13	sufficient	sufficient	ADJ
fuelectenerg-618	55	14	to	to	PART
fuelectenerg-618	55	15	solve	solve	VERB
fuelectenerg-618	55	16	bdes	bde	NOUN
fuelectenerg-618	55	17	.	.	PUNCT
fuelectenerg-618	56	1	we	we	PRON
fuelectenerg-618	56	2	demonstrate	demonstrate	VERB
fuelectenerg-618	56	3	how	how	SCONJ
fuelectenerg-618	56	4	a	a	DET
fuelectenerg-618	56	5	xboole	xboole	NOUN
fuelectenerg-618	56	6	-	-	PUNCT
fuelectenerg-618	56	7	problem	problem	NOUN
fuelectenerg-618	56	8	program	program	NOUN
fuelectenerg-618	56	9	(	(	PUNCT
fuelectenerg-618	56	10	prp	prp	PROPN
fuelectenerg-618	56	11	)	)	PUNCT
fuelectenerg-618	56	12	of	of	ADP
fuelectenerg-618	56	13	the	the	DET
fuelectenerg-618	56	14	freely	freely	ADV
fuelectenerg-618	56	15	available	available	ADJ
fuelectenerg-618	56	16	xboole	xboole	NOUN
fuelectenerg-618	56	17	-	-	PUNCT
fuelectenerg-618	56	18	monitor	monitor	NOUN
fuelectenerg-618	56	19	quickly	quickly	ADV
fuelectenerg-618	56	20	solves	solve	VERB
fuelectenerg-618	56	21	some	some	DET
fuelectenerg-618	56	22	bdes	bde	NOUN
fuelectenerg-618	56	23	.	.	PUNCT
fuelectenerg-618	57	1	keywords	keyword	NOUN
fuelectenerg-618	57	2	:	:	PUNCT
fuelectenerg-618	57	3	boolean	boolean	ADJ
fuelectenerg-618	57	4	differential	differential	ADJ
fuelectenerg-618	57	5	calculus	calculus	NOUN
fuelectenerg-618	57	6	,	,	PUNCT
fuelectenerg-618	57	7	boolean	boolean	ADJ
fuelectenerg-618	57	8	differential	differential	NOUN
fuelectenerg-618	57	9	equation	equation	NOUN
fuelectenerg-618	57	10	(	(	PUNCT
fuelectenerg-618	57	11	bde	bde	PROPN
fuelectenerg-618	57	12	)	)	PUNCT
fuelectenerg-618	57	13	,	,	PUNCT
fuelectenerg-618	57	14	classes	class	NOUN
fuelectenerg-618	57	15	of	of	ADP
fuelectenerg-618	57	16	boolean	boolean	ADJ
fuelectenerg-618	57	17	functions	function	NOUN
fuelectenerg-618	57	18	,	,	PUNCT
fuelectenerg-618	57	19	lattices	lattice	NOUN
fuelectenerg-618	57	20	of	of	ADP
fuelectenerg-618	57	21	boolean	boolean	ADJ
fuelectenerg-618	57	22	functions	function	NOUN
fuelectenerg-618	57	23	,	,	PUNCT
fuelectenerg-618	57	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	57	25	sets	set	NOUN
fuelectenerg-618	57	26	of	of	ADP
fuelectenerg-618	57	27	boolean	boolean	ADJ
fuelectenerg-618	57	28	functions	function	NOUN
fuelectenerg-618	57	29	,	,	PUNCT
fuelectenerg-618	57	30	lattice	lattice	NOUN
fuelectenerg-618	57	31	-	-	PUNCT
fuelectenerg-618	57	32	bde	bde	NOUN
fuelectenerg-618	57	33	,	,	PUNCT
fuelectenerg-618	57	34	xboole	xboole	PROPN
fuelectenerg-618	57	35	.	.	PUNCT
fuelectenerg-618	58	1	1	1	NUM
fuelectenerg-618	58	2	introduction	introduction	NOUN
fuelectenerg-618	58	3	boolean	boolean	ADJ
fuelectenerg-618	58	4	variables	variable	NOUN
fuelectenerg-618	58	5	are	be	AUX
fuelectenerg-618	58	6	the	the	DET
fuelectenerg-618	58	7	simplest	simple	ADJ
fuelectenerg-618	58	8	variables	variable	NOUN
fuelectenerg-618	58	9	.	.	PUNCT
fuelectenerg-618	59	1	a	a	DET
fuelectenerg-618	59	2	boolean	boolean	ADJ
fuelectenerg-618	59	3	variable	variable	NOUN
fuelectenerg-618	59	4	carries	carry	VERB
fuelectenerg-618	59	5	only	only	ADV
fuelectenerg-618	59	6	one	one	NUM
fuelectenerg-618	59	7	element	element	NOUN
fuelectenerg-618	59	8	of	of	ADP
fuelectenerg-618	59	9	the	the	DET
fuelectenerg-618	59	10	set	set	NOUN
fuelectenerg-618	59	11	b	b	PROPN
fuelectenerg-618	59	12	=	=	SYM
fuelectenerg-618	59	13	{	{	PUNCT
fuelectenerg-618	59	14	0,1	0,1	NUM
fuelectenerg-618	59	15	}	}	PUNCT
fuelectenerg-618	59	16	.	.	PUNCT
fuelectenerg-618	60	1	these	these	DET
fuelectenerg-618	60	2	two	two	NUM
fuelectenerg-618	60	3	values	value	NOUN
fuelectenerg-618	60	4	can	can	AUX
fuelectenerg-618	60	5	be	be	AUX
fuelectenerg-618	60	6	easily	easily	ADV
fuelectenerg-618	60	7	distinguished	distinguish	VERB
fuelectenerg-618	60	8	from	from	ADP
fuelectenerg-618	60	9	each	each	DET
fuelectenerg-618	60	10	other	other	ADJ
fuelectenerg-618	60	11	in	in	ADP
fuelectenerg-618	60	12	technical	technical	ADJ
fuelectenerg-618	60	13	systems	system	NOUN
fuelectenerg-618	60	14	.	.	PUNCT
fuelectenerg-618	61	1	therefore	therefore	ADV
fuelectenerg-618	61	2	we	we	PRON
fuelectenerg-618	61	3	get	get	VERB
fuelectenerg-618	61	4	more	more	ADJ
fuelectenerg-618	61	5	and	and	CCONJ
fuelectenerg-618	61	6	more	more	ADJ
fuelectenerg-618	61	7	digital	digital	ADJ
fuelectenerg-618	61	8	systems	system	NOUN
fuelectenerg-618	61	9	.	.	PUNCT
fuelectenerg-618	62	1	boolean	boolean	ADJ
fuelectenerg-618	62	2	functions	function	NOUN
fuelectenerg-618	62	3	,	,	PUNCT
fuelectenerg-618	62	4	the	the	DET
fuelectenerg-618	62	5	operations	operation	NOUN
fuelectenerg-618	62	6	of	of	ADP
fuelectenerg-618	62	7	the	the	DET
fuelectenerg-618	62	8	boolean	boolean	ADJ
fuelectenerg-618	62	9	algebra	algebra	NOUN
fuelectenerg-618	62	10	,	,	PUNCT
fuelectenerg-618	62	11	and	and	CCONJ
fuelectenerg-618	62	12	boolean	boolean	ADJ
fuelectenerg-618	62	13	equations	equation	NOUN
fuelectenerg-618	62	14	[	[	X
fuelectenerg-618	62	15	1	1	X
fuelectenerg-618	62	16	]	]	PUNCT
fuelectenerg-618	62	17	are	be	AUX
fuelectenerg-618	62	18	well	well	ADV
fuelectenerg-618	62	19	known	known	ADJ
fuelectenerg-618	62	20	to	to	PART
fuelectenerg-618	62	21	solve	solve	VERB
fuelectenerg-618	62	22	many	many	ADJ
fuelectenerg-618	62	23	tasks	task	NOUN
fuelectenerg-618	62	24	for	for	ADP
fuelectenerg-618	62	25	digital	digital	ADJ
fuelectenerg-618	62	26	systems	system	NOUN
fuelectenerg-618	62	27	.	.	PUNCT
fuelectenerg-618	63	1	the	the	DET
fuelectenerg-618	63	2	solution	solution	NOUN
fuelectenerg-618	63	3	of	of	ADP
fuelectenerg-618	63	4	a	a	DET
fuelectenerg-618	63	5	boolean	boolean	ADJ
fuelectenerg-618	63	6	equation	equation	NOUN
fuelectenerg-618	63	7	is	be	AUX
fuelectenerg-618	63	8	a	a	DET
fuelectenerg-618	63	9	set	set	NOUN
fuelectenerg-618	63	10	of	of	ADP
fuelectenerg-618	63	11	boolean	boolean	ADJ
fuelectenerg-618	63	12	vectors	vector	NOUN
fuelectenerg-618	63	13	which	which	PRON
fuelectenerg-618	63	14	describes	describe	VERB
fuelectenerg-618	63	15	,	,	PUNCT
fuelectenerg-618	63	16	e.g.	e.g.	ADV
fuelectenerg-618	63	17	,	,	PUNCT
fuelectenerg-618	63	18	the	the	DET
fuelectenerg-618	63	19	behavior	behavior	NOUN
fuelectenerg-618	63	20	of	of	ADP
fuelectenerg-618	63	21	a	a	DET
fuelectenerg-618	63	22	circuit	circuit	NOUN
fuelectenerg-618	63	23	.	.	PUNCT
fuelectenerg-618	64	1	however	however	ADV
fuelectenerg-618	64	2	,	,	PUNCT
fuelectenerg-618	64	3	this	this	DET
fuelectenerg-618	64	4	theory	theory	NOUN
fuelectenerg-618	64	5	is	be	AUX
fuelectenerg-618	64	6	restricted	restrict	VERB
fuelectenerg-618	64	7	to	to	ADP
fuelectenerg-618	64	8	fixed	fix	VERB
fuelectenerg-618	64	9	values	value	NOUN
fuelectenerg-618	64	10	for	for	ADP
fuelectenerg-618	64	11	a	a	DET
fuelectenerg-618	64	12	given	give	VERB
fuelectenerg-618	64	13	point	point	NOUN
fuelectenerg-618	64	14	in	in	ADP
fuelectenerg-618	64	15	time	time	NOUN
fuelectenerg-618	64	16	.	.	PUNCT
fuelectenerg-618	65	1	the	the	DET
fuelectenerg-618	65	2	boolean	boolean	ADJ
fuelectenerg-618	65	3	differential	differential	ADJ
fuelectenerg-618	65	4	calculus	calculus	NOUN
fuelectenerg-618	65	5	(	(	PUNCT
fuelectenerg-618	65	6	bdc	bdc	PROPN
fuelectenerg-618	65	7	)	)	PUNCT
fuelectenerg-618	66	1	[	[	X
fuelectenerg-618	66	2	1–3	1–3	X
fuelectenerg-618	66	3	]	]	PUNCT
fuelectenerg-618	66	4	allows	allow	VERB
fuelectenerg-618	66	5	us	we	PRON
fuelectenerg-618	66	6	to	to	PART
fuelectenerg-618	66	7	study	study	VERB
fuelectenerg-618	66	8	the	the	DET
fuelectenerg-618	66	9	change	change	NOUN
fuelectenerg-618	66	10	of	of	ADP
fuelectenerg-618	66	11	the	the	DET
fuelectenerg-618	66	12	values	value	NOUN
fuelectenerg-618	66	13	of	of	ADP
fuelectenerg-618	66	14	boolean	boolean	ADJ
fuelectenerg-618	66	15	variables	variable	NOUN
fuelectenerg-618	66	16	and	and	CCONJ
fuelectenerg-618	66	17	boolean	boolean	ADJ
fuelectenerg-618	66	18	functions	function	NOUN
fuelectenerg-618	66	19	.	.	PUNCT
fuelectenerg-618	67	1	the	the	DET
fuelectenerg-618	67	2	substitution	substitution	NOUN
fuelectenerg-618	67	3	of	of	ADP
fuelectenerg-618	67	4	the	the	DET
fuelectenerg-618	67	5	derivative	derivative	ADJ
fuelectenerg-618	67	6	operations	operation	NOUN
fuelectenerg-618	67	7	of	of	ADP
fuelectenerg-618	67	8	the	the	DET
fuelectenerg-618	67	9	bdc	bdc	NOUN
fuelectenerg-618	67	10	into	into	ADP
fuelectenerg-618	67	11	a	a	DET
fuelectenerg-618	67	12	boolean	boolean	ADJ
fuelectenerg-618	67	13	equation	equation	NOUN
fuelectenerg-618	67	14	leads	lead	VERB
fuelectenerg-618	67	15	to	to	ADP
fuelectenerg-618	67	16	a	a	DET
fuelectenerg-618	67	17	boolean	boolean	ADJ
fuelectenerg-618	67	18	differential	differential	NOUN
fuelectenerg-618	67	19	equation	equation	NOUN
fuelectenerg-618	67	20	(	(	PUNCT
fuelectenerg-618	67	21	bde	bde	NOUN
fuelectenerg-618	67	22	)	)	PUNCT
fuelectenerg-618	68	1	[	[	X
fuelectenerg-618	68	2	4	4	NUM
fuelectenerg-618	68	3	,	,	PUNCT
fuelectenerg-618	68	4	5	5	NUM
fuelectenerg-618	68	5	]	]	PUNCT
fuelectenerg-618	68	6	.	.	PUNCT
fuelectenerg-618	69	1	a	a	DET
fuelectenerg-618	69	2	bde	bde	PROPN
fuelectenerg-618	69	3	has	have	VERB
fuelectenerg-618	69	4	a	a	DET
fuelectenerg-618	69	5	more	more	ADV
fuelectenerg-618	69	6	general	general	ADJ
fuelectenerg-618	69	7	solution	solution	NOUN
fuelectenerg-618	69	8	and	and	CCONJ
fuelectenerg-618	69	9	consequently	consequently	ADV
fuelectenerg-618	69	10	opens	open	VERB
fuelectenerg-618	69	11	a	a	DET
fuelectenerg-618	69	12	wider	wide	ADJ
fuelectenerg-618	69	13	field	field	NOUN
fuelectenerg-618	69	14	of	of	ADP
fuelectenerg-618	69	15	applications	application	NOUN
fuelectenerg-618	69	16	.	.	PUNCT
fuelectenerg-618	70	1	we	we	PRON
fuelectenerg-618	70	2	show	show	VERB
fuelectenerg-618	70	3	in	in	ADP
fuelectenerg-618	70	4	this	this	DET
fuelectenerg-618	70	5	paper	paper	NOUN
fuelectenerg-618	70	6	how	how	SCONJ
fuelectenerg-618	70	7	lattices	lattice	NOUN
fuelectenerg-618	70	8	of	of	ADP
fuelectenerg-618	70	9	boolean	boolean	ADJ
fuelectenerg-618	70	10	functions	function	NOUN
fuelectenerg-618	70	11	can	can	AUX
fuelectenerg-618	70	12	be	be	AUX
fuelectenerg-618	70	13	expressed	express	VERB
fuelectenerg-618	70	14	by	by	ADP
fuelectenerg-618	70	15	bdes	bde	NOUN
fuelectenerg-618	70	16	.	.	PUNCT
fuelectenerg-618	71	1	we	we	PRON
fuelectenerg-618	71	2	will	will	AUX
fuelectenerg-618	71	3	show	show	VERB
fuelectenerg-618	71	4	that	that	SCONJ
fuelectenerg-618	71	5	additionally	additionally	ADV
fuelectenerg-618	71	6	to	to	ADP
fuelectenerg-618	71	7	the	the	DET
fuelectenerg-618	71	8	well	well	ADV
fuelectenerg-618	71	9	known	know	VERB
fuelectenerg-618	71	10	lattices	lattice	NOUN
fuelectenerg-618	71	11	of	of	ADP
fuelectenerg-618	71	12	incompletely	incompletely	ADV
fuelectenerg-618	71	13	specified	specify	VERB
fuelectenerg-618	71	14	functions	function	NOUN
fuelectenerg-618	71	15	also	also	ADV
fuelectenerg-618	71	16	more	more	ADV
fuelectenerg-618	71	17	general	general	ADJ
fuelectenerg-618	71	18	lattices	lattice	NOUN
fuelectenerg-618	71	19	of	of	ADP
fuelectenerg-618	71	20	boolean	boolean	ADJ
fuelectenerg-618	71	21	functions	function	NOUN
fuelectenerg-618	71	22	can	can	AUX
fuelectenerg-618	71	23	be	be	AUX
fuelectenerg-618	71	24	described	describe	VERB
fuelectenerg-618	71	25	in	in	ADP
fuelectenerg-618	71	26	an	an	DET
fuelectenerg-618	71	27	easy	easy	ADJ
fuelectenerg-618	71	28	way	way	NOUN
fuelectenerg-618	71	29	using	use	VERB
fuelectenerg-618	71	30	the	the	DET
fuelectenerg-618	71	31	new	new	ADJ
fuelectenerg-618	71	32	special	special	ADJ
fuelectenerg-618	71	33	lattice	lattice	NOUN
fuelectenerg-618	71	34	-	-	PUNCT
fuelectenerg-618	71	35	bde	bde	NOUN
fuelectenerg-618	71	36	.	.	PUNCT
fuelectenerg-618	72	1	the	the	DET
fuelectenerg-618	72	2	generalized	generalize	VERB
fuelectenerg-618	72	3	lattices	lattice	NOUN
fuelectenerg-618	72	4	of	of	ADP
fuelectenerg-618	72	5	boolean	boolean	ADJ
fuelectenerg-618	72	6	functions	function	NOUN
fuelectenerg-618	72	7	open	open	VERB
fuelectenerg-618	72	8	a	a	DET
fuelectenerg-618	72	9	new	new	ADJ
fuelectenerg-618	72	10	field	field	NOUN
fuelectenerg-618	72	11	of	of	ADP
fuelectenerg-618	72	12	applications	application	NOUN
fuelectenerg-618	72	13	.	.	PUNCT
fuelectenerg-618	73	1	the	the	DET
fuelectenerg-618	73	2	rest	rest	NOUN
fuelectenerg-618	73	3	of	of	ADP
fuelectenerg-618	73	4	this	this	DET
fuelectenerg-618	73	5	paper	paper	NOUN
fuelectenerg-618	73	6	is	be	AUX
fuelectenerg-618	73	7	organized	organize	VERB
fuelectenerg-618	73	8	as	as	SCONJ
fuelectenerg-618	73	9	follows	follow	VERB
fuelectenerg-618	73	10	.	.	PUNCT
fuelectenerg-618	74	1	section	section	NOUN
fuelectenerg-618	74	2	2	2	NUM
fuelectenerg-618	74	3	defines	define	VERB
fuelectenerg-618	74	4	the	the	DET
fuelectenerg-618	74	5	derivative	derivative	ADJ
fuelectenerg-618	74	6	operations	operation	NOUN
fuelectenerg-618	74	7	of	of	ADP
fuelectenerg-618	74	8	the	the	DET
fuelectenerg-618	74	9	bdc	bdc	NOUN
fuelectenerg-618	74	10	and	and	CCONJ
fuelectenerg-618	74	11	briefly	briefly	NOUN
fuelectenerg-618	74	12	explains	explain	VERB
fuelectenerg-618	74	13	their	their	PRON
fuelectenerg-618	74	14	meaning	meaning	NOUN
fuelectenerg-618	74	15	.	.	PUNCT
fuelectenerg-618	75	1	section	section	NOUN
fuelectenerg-618	75	2	3	3	NUM
fuelectenerg-618	75	3	summarizes	summarize	VERB
fuelectenerg-618	75	4	the	the	DET
fuelectenerg-618	75	5	known	know	VERB
fuelectenerg-618	75	6	theory	theory	NOUN
fuelectenerg-618	75	7	of	of	ADP
fuelectenerg-618	75	8	boolean	boolean	ADJ
fuelectenerg-618	75	9	differential	differential	ADJ
fuelectenerg-618	75	10	equations	equation	NOUN
fuelectenerg-618	75	11	,	,	PUNCT
fuelectenerg-618	75	12	introduces	introduce	VERB
fuelectenerg-618	75	13	algorithms	algorithm	NOUN
fuelectenerg-618	75	14	that	that	PRON
fuelectenerg-618	75	15	calculates	calculate	VERB
fuelectenerg-618	75	16	either	either	DET
fuelectenerg-618	75	17	sets	set	NOUN
fuelectenerg-618	75	18	of	of	ADP
fuelectenerg-618	75	19	classes	class	NOUN
fuelectenerg-618	75	20	of	of	ADP
fuelectenerg-618	75	21	boolean	boolean	ADJ
fuelectenerg-618	75	22	functions	function	NOUN
fuelectenerg-618	75	23	or	or	CCONJ
fuelectenerg-618	75	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	75	25	sets	set	NOUN
fuelectenerg-618	75	26	of	of	ADP
fuelectenerg-618	75	27	boolean	boolean	ADJ
fuelectenerg-618	75	28	functions	function	NOUN
fuelectenerg-618	75	29	as	as	ADP
fuelectenerg-618	75	30	the	the	DET
fuelectenerg-618	75	31	solution	solution	NOUN
fuelectenerg-618	75	32	of	of	ADP
fuelectenerg-618	75	33	a	a	DET
fuelectenerg-618	75	34	bde	bde	NOUN
fuelectenerg-618	75	35	,	,	PUNCT
fuelectenerg-618	75	36	explains	explain	VERB
fuelectenerg-618	75	37	a	a	DET
fuelectenerg-618	75	38	method	method	NOUN
fuelectenerg-618	75	39	to	to	PART
fuelectenerg-618	75	40	map	map	VERB
fuelectenerg-618	75	41	a	a	DET
fuelectenerg-618	75	42	more	more	ADV
fuelectenerg-618	75	43	general	general	ADJ
fuelectenerg-618	75	44	bde	bde	NOUN
fuelectenerg-618	75	45	into	into	ADP
fuelectenerg-618	75	46	the	the	DET
fuelectenerg-618	75	47	form	form	NOUN
fuelectenerg-618	75	48	needed	need	VERB
fuelectenerg-618	75	49	for	for	ADP
fuelectenerg-618	75	50	one	one	NUM
fuelectenerg-618	75	51	of	of	ADP
fuelectenerg-618	75	52	these	these	DET
fuelectenerg-618	75	53	algorithms	algorithm	NOUN
fuelectenerg-618	75	54	,	,	PUNCT
fuelectenerg-618	75	55	and	and	CCONJ
fuelectenerg-618	75	56	shows	show	VERB
fuelectenerg-618	75	57	how	how	SCONJ
fuelectenerg-618	75	58	a	a	DET
fuelectenerg-618	75	59	xbooleproblem	xbooleproblem	NOUN
fuelectenerg-618	75	60	programs	program	NOUN
fuelectenerg-618	75	61	(	(	PUNCT
fuelectenerg-618	75	62	prp	prp	PROPN
fuelectenerg-618	75	63	)	)	PUNCT
fuelectenerg-618	75	64	can	can	AUX
fuelectenerg-618	75	65	solve	solve	VERB
fuelectenerg-618	75	66	a	a	DET
fuelectenerg-618	75	67	bde	bde	NOUN
fuelectenerg-618	75	68	in	in	ADP
fuelectenerg-618	75	69	the	the	DET
fuelectenerg-618	75	70	xboole	xboole	NOUN
fuelectenerg-618	75	71	-	-	PUNCT
fuelectenerg-618	75	72	monitor	monitor	NOUN
fuelectenerg-618	75	73	.	.	PUNCT
fuelectenerg-618	76	1	lattices	lattice	NOUN
fuelectenerg-618	76	2	of	of	ADP
fuelectenerg-618	76	3	boolean	boolean	ADJ
fuelectenerg-618	76	4	functions	function	NOUN
fuelectenerg-618	76	5	are	be	AUX
fuelectenerg-618	76	6	discussed	discuss	VERB
fuelectenerg-618	76	7	in	in	ADP
fuelectenerg-618	76	8	section	section	NOUN
fuelectenerg-618	76	9	4	4	NUM
fuelectenerg-618	76	10	as	as	ADP
fuelectenerg-618	76	11	a	a	DET
fuelectenerg-618	76	12	new	new	ADJ
fuelectenerg-618	76	13	field	field	NOUN
fuelectenerg-618	76	14	of	of	ADP
fuelectenerg-618	76	15	applications	application	NOUN
fuelectenerg-618	76	16	of	of	ADP
fuelectenerg-618	76	17	bdes	bde	NOUN
fuelectenerg-618	76	18	.	.	PUNCT
fuelectenerg-618	77	1	both	both	CCONJ
fuelectenerg-618	77	2	the	the	DET
fuelectenerg-618	77	3	well	well	ADV
fuelectenerg-618	77	4	known	know	VERB
fuelectenerg-618	77	5	lattices	lattice	NOUN
fuelectenerg-618	77	6	that	that	PRON
fuelectenerg-618	77	7	describe	describe	VERB
fuelectenerg-618	77	8	incompletely	incompletely	ADV
fuelectenerg-618	77	9	specified	specify	VERB
fuelectenerg-618	77	10	functions	function	NOUN
fuelectenerg-618	77	11	(	(	PUNCT
fuelectenerg-618	77	12	isf	isf	NOUN
fuelectenerg-618	77	13	)	)	PUNCT
fuelectenerg-618	77	14	and	and	CCONJ
fuelectenerg-618	77	15	a	a	DET
fuelectenerg-618	77	16	more	more	ADV
fuelectenerg-618	77	17	general	general	ADJ
fuelectenerg-618	77	18	type	type	NOUN
fuelectenerg-618	77	19	of	of	ADP
fuelectenerg-618	77	20	lattices	lattice	NOUN
fuelectenerg-618	77	21	of	of	ADP
fuelectenerg-618	77	22	boolean	boolean	ADJ
fuelectenerg-618	77	23	functions	function	NOUN
fuelectenerg-618	77	24	are	be	AUX
fuelectenerg-618	77	25	uniquely	uniquely	ADV
fuelectenerg-618	77	26	described	describe	VERB
fuelectenerg-618	77	27	using	use	VERB
fuelectenerg-618	77	28	lattice	lattice	NOUN
fuelectenerg-618	77	29	-	-	PUNCT
fuelectenerg-618	77	30	bdes	bde	NOUN
fuelectenerg-618	77	31	.	.	PUNCT
fuelectenerg-618	78	1	several	several	ADJ
fuelectenerg-618	78	2	examples	example	NOUN
fuelectenerg-618	78	3	show	show	VERB
fuelectenerg-618	78	4	that	that	SCONJ
fuelectenerg-618	78	5	the	the	DET
fuelectenerg-618	78	6	known	know	VERB
fuelectenerg-618	78	7	algorithm	algorithm	NOUN
fuelectenerg-618	78	8	can	can	AUX
fuelectenerg-618	78	9	be	be	AUX
fuelectenerg-618	78	10	used	use	VERB
fuelectenerg-618	78	11	to	to	PART
fuelectenerg-618	78	12	solve	solve	VERB
fuelectenerg-618	78	13	different	different	ADJ
fuelectenerg-618	78	14	types	type	NOUN
fuelectenerg-618	78	15	of	of	ADP
fuelectenerg-618	78	16	lattice	lattice	NOUN
fuelectenerg-618	78	17	-	-	PUNCT
fuelectenerg-618	78	18	bdes	bde	NOUN
fuelectenerg-618	78	19	.	.	PUNCT
fuelectenerg-618	79	1	finally	finally	ADV
fuelectenerg-618	79	2	,	,	PUNCT
fuelectenerg-618	79	3	section	section	NOUN
fuelectenerg-618	79	4	5	5	NUM
fuelectenerg-618	79	5	concludes	conclude	VERB
fuelectenerg-618	79	6	this	this	DET
fuelectenerg-618	79	7	paper	paper	NOUN
fuelectenerg-618	79	8	.	.	PUNCT
fuelectenerg-618	80	1	52	52	NUM
fuelectenerg-618	80	2	b.	b.	PROPN
fuelectenerg-618	80	3	steinbach	steinbach	PROPN
fuelectenerg-618	80	4	,	,	PUNCT
fuelectenerg-618	80	5	c.	c.	PROPN
fuelectenerg-618	80	6	posthoff	posthoff	PROPN
fuelectenerg-618	80	7	boolean	boolean	ADJ
fuelectenerg-618	80	8	differential	differential	ADJ
fuelectenerg-618	80	9	equations	equation	NOUN
fuelectenerg-618	80	10	–	–	PUNCT
fuelectenerg-618	80	11	a	a	DET
fuelectenerg-618	80	12	common	common	ADJ
fuelectenerg-618	80	13	model	model	NOUN
fuelectenerg-618	80	14	for	for	ADP
fuelectenerg-618	80	15	classes	class	NOUN
fuelectenerg-618	80	16	,	,	PUNCT
fuelectenerg-618	80	17	lattices	lattice	NOUN
fuelectenerg-618	80	18	...	...	PUNCT
fuelectenerg-618	80	19	53	53	NUM
fuelectenerg-618	80	20	102	102	NUM
fuelectenerg-618	80	21	b.	b.	PROPN
fuelectenerg-618	80	22	steinbach	steinbach	PROPN
fuelectenerg-618	80	23	and	and	CCONJ
fuelectenerg-618	80	24	c.	c.	PROPN
fuelectenerg-618	80	25	posthoff	posthoff	VERB
fuelectenerg-618	80	26	the	the	DET
fuelectenerg-618	80	27	basic	basic	ADJ
fuelectenerg-618	80	28	operations	operation	NOUN
fuelectenerg-618	80	29	of	of	ADP
fuelectenerg-618	80	30	xboole	xboole	PROPN
fuelectenerg-618	80	31	are	be	AUX
fuelectenerg-618	80	32	sufficient	sufficient	ADJ
fuelectenerg-618	80	33	to	to	PART
fuelectenerg-618	80	34	solve	solve	VERB
fuelectenerg-618	80	35	bdes	bde	NOUN
fuelectenerg-618	80	36	.	.	PUNCT
fuelectenerg-618	81	1	we	we	PRON
fuelectenerg-618	81	2	demonstrate	demonstrate	VERB
fuelectenerg-618	81	3	how	how	SCONJ
fuelectenerg-618	81	4	a	a	DET
fuelectenerg-618	81	5	xboole	xboole	NOUN
fuelectenerg-618	81	6	-	-	PUNCT
fuelectenerg-618	81	7	problem	problem	NOUN
fuelectenerg-618	81	8	program	program	NOUN
fuelectenerg-618	81	9	(	(	PUNCT
fuelectenerg-618	81	10	prp	prp	PROPN
fuelectenerg-618	81	11	)	)	PUNCT
fuelectenerg-618	81	12	of	of	ADP
fuelectenerg-618	81	13	the	the	DET
fuelectenerg-618	81	14	freely	freely	ADV
fuelectenerg-618	81	15	available	available	ADJ
fuelectenerg-618	81	16	xboole	xboole	NOUN
fuelectenerg-618	81	17	-	-	PUNCT
fuelectenerg-618	81	18	monitor	monitor	NOUN
fuelectenerg-618	81	19	quickly	quickly	ADV
fuelectenerg-618	81	20	solves	solve	VERB
fuelectenerg-618	81	21	some	some	DET
fuelectenerg-618	81	22	bdes	bde	NOUN
fuelectenerg-618	81	23	.	.	PUNCT
fuelectenerg-618	82	1	keywords	keyword	NOUN
fuelectenerg-618	82	2	:	:	PUNCT
fuelectenerg-618	82	3	boolean	boolean	ADJ
fuelectenerg-618	82	4	differential	differential	ADJ
fuelectenerg-618	82	5	calculus	calculus	NOUN
fuelectenerg-618	82	6	,	,	PUNCT
fuelectenerg-618	82	7	boolean	boolean	ADJ
fuelectenerg-618	82	8	differential	differential	NOUN
fuelectenerg-618	82	9	equation	equation	NOUN
fuelectenerg-618	82	10	(	(	PUNCT
fuelectenerg-618	82	11	bde	bde	PROPN
fuelectenerg-618	82	12	)	)	PUNCT
fuelectenerg-618	82	13	,	,	PUNCT
fuelectenerg-618	82	14	classes	class	NOUN
fuelectenerg-618	82	15	of	of	ADP
fuelectenerg-618	82	16	boolean	boolean	ADJ
fuelectenerg-618	82	17	functions	function	NOUN
fuelectenerg-618	82	18	,	,	PUNCT
fuelectenerg-618	82	19	lattices	lattice	NOUN
fuelectenerg-618	82	20	of	of	ADP
fuelectenerg-618	82	21	boolean	boolean	ADJ
fuelectenerg-618	82	22	functions	function	NOUN
fuelectenerg-618	82	23	,	,	PUNCT
fuelectenerg-618	82	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	82	25	sets	set	NOUN
fuelectenerg-618	82	26	of	of	ADP
fuelectenerg-618	82	27	boolean	boolean	ADJ
fuelectenerg-618	82	28	functions	function	NOUN
fuelectenerg-618	82	29	,	,	PUNCT
fuelectenerg-618	82	30	lattice	lattice	NOUN
fuelectenerg-618	82	31	-	-	PUNCT
fuelectenerg-618	82	32	bde	bde	NOUN
fuelectenerg-618	82	33	,	,	PUNCT
fuelectenerg-618	82	34	xboole	xboole	PROPN
fuelectenerg-618	82	35	.	.	PUNCT
fuelectenerg-618	83	1	1	1	NUM
fuelectenerg-618	83	2	introduction	introduction	NOUN
fuelectenerg-618	83	3	boolean	boolean	ADJ
fuelectenerg-618	83	4	variables	variable	NOUN
fuelectenerg-618	83	5	are	be	AUX
fuelectenerg-618	83	6	the	the	DET
fuelectenerg-618	83	7	simplest	simple	ADJ
fuelectenerg-618	83	8	variables	variable	NOUN
fuelectenerg-618	83	9	.	.	PUNCT
fuelectenerg-618	84	1	a	a	DET
fuelectenerg-618	84	2	boolean	boolean	ADJ
fuelectenerg-618	84	3	variable	variable	NOUN
fuelectenerg-618	84	4	carries	carry	VERB
fuelectenerg-618	84	5	only	only	ADV
fuelectenerg-618	84	6	one	one	NUM
fuelectenerg-618	84	7	element	element	NOUN
fuelectenerg-618	84	8	of	of	ADP
fuelectenerg-618	84	9	the	the	DET
fuelectenerg-618	84	10	set	set	NOUN
fuelectenerg-618	84	11	b	b	PROPN
fuelectenerg-618	84	12	=	=	SYM
fuelectenerg-618	84	13	{	{	PUNCT
fuelectenerg-618	84	14	0,1	0,1	NUM
fuelectenerg-618	84	15	}	}	PUNCT
fuelectenerg-618	84	16	.	.	PUNCT
fuelectenerg-618	85	1	these	these	DET
fuelectenerg-618	85	2	two	two	NUM
fuelectenerg-618	85	3	values	value	NOUN
fuelectenerg-618	85	4	can	can	AUX
fuelectenerg-618	85	5	be	be	AUX
fuelectenerg-618	85	6	easily	easily	ADV
fuelectenerg-618	85	7	distinguished	distinguish	VERB
fuelectenerg-618	85	8	from	from	ADP
fuelectenerg-618	85	9	each	each	DET
fuelectenerg-618	85	10	other	other	ADJ
fuelectenerg-618	85	11	in	in	ADP
fuelectenerg-618	85	12	technical	technical	ADJ
fuelectenerg-618	85	13	systems	system	NOUN
fuelectenerg-618	85	14	.	.	PUNCT
fuelectenerg-618	86	1	therefore	therefore	ADV
fuelectenerg-618	86	2	we	we	PRON
fuelectenerg-618	86	3	get	get	VERB
fuelectenerg-618	86	4	more	more	ADJ
fuelectenerg-618	86	5	and	and	CCONJ
fuelectenerg-618	86	6	more	more	ADJ
fuelectenerg-618	86	7	digital	digital	ADJ
fuelectenerg-618	86	8	systems	system	NOUN
fuelectenerg-618	86	9	.	.	PUNCT
fuelectenerg-618	87	1	boolean	boolean	ADJ
fuelectenerg-618	87	2	functions	function	NOUN
fuelectenerg-618	87	3	,	,	PUNCT
fuelectenerg-618	87	4	the	the	DET
fuelectenerg-618	87	5	operations	operation	NOUN
fuelectenerg-618	87	6	of	of	ADP
fuelectenerg-618	87	7	the	the	DET
fuelectenerg-618	87	8	boolean	boolean	ADJ
fuelectenerg-618	87	9	algebra	algebra	NOUN
fuelectenerg-618	87	10	,	,	PUNCT
fuelectenerg-618	87	11	and	and	CCONJ
fuelectenerg-618	87	12	boolean	boolean	ADJ
fuelectenerg-618	87	13	equations	equation	NOUN
fuelectenerg-618	87	14	[	[	X
fuelectenerg-618	87	15	1	1	X
fuelectenerg-618	87	16	]	]	PUNCT
fuelectenerg-618	87	17	are	be	AUX
fuelectenerg-618	87	18	well	well	ADV
fuelectenerg-618	87	19	known	known	ADJ
fuelectenerg-618	87	20	to	to	PART
fuelectenerg-618	87	21	solve	solve	VERB
fuelectenerg-618	87	22	many	many	ADJ
fuelectenerg-618	87	23	tasks	task	NOUN
fuelectenerg-618	87	24	for	for	ADP
fuelectenerg-618	87	25	digital	digital	ADJ
fuelectenerg-618	87	26	systems	system	NOUN
fuelectenerg-618	87	27	.	.	PUNCT
fuelectenerg-618	88	1	the	the	DET
fuelectenerg-618	88	2	solution	solution	NOUN
fuelectenerg-618	88	3	of	of	ADP
fuelectenerg-618	88	4	a	a	DET
fuelectenerg-618	88	5	boolean	boolean	ADJ
fuelectenerg-618	88	6	equation	equation	NOUN
fuelectenerg-618	88	7	is	be	AUX
fuelectenerg-618	88	8	a	a	DET
fuelectenerg-618	88	9	set	set	NOUN
fuelectenerg-618	88	10	of	of	ADP
fuelectenerg-618	88	11	boolean	boolean	ADJ
fuelectenerg-618	88	12	vectors	vector	NOUN
fuelectenerg-618	88	13	which	which	PRON
fuelectenerg-618	88	14	describes	describe	VERB
fuelectenerg-618	88	15	,	,	PUNCT
fuelectenerg-618	88	16	e.g.	e.g.	ADV
fuelectenerg-618	88	17	,	,	PUNCT
fuelectenerg-618	88	18	the	the	DET
fuelectenerg-618	88	19	behavior	behavior	NOUN
fuelectenerg-618	88	20	of	of	ADP
fuelectenerg-618	88	21	a	a	DET
fuelectenerg-618	88	22	circuit	circuit	NOUN
fuelectenerg-618	88	23	.	.	PUNCT
fuelectenerg-618	89	1	however	however	ADV
fuelectenerg-618	89	2	,	,	PUNCT
fuelectenerg-618	89	3	this	this	DET
fuelectenerg-618	89	4	theory	theory	NOUN
fuelectenerg-618	89	5	is	be	AUX
fuelectenerg-618	89	6	restricted	restrict	VERB
fuelectenerg-618	89	7	to	to	ADP
fuelectenerg-618	89	8	fixed	fix	VERB
fuelectenerg-618	89	9	values	value	NOUN
fuelectenerg-618	89	10	for	for	ADP
fuelectenerg-618	89	11	a	a	DET
fuelectenerg-618	89	12	given	give	VERB
fuelectenerg-618	89	13	point	point	NOUN
fuelectenerg-618	89	14	in	in	ADP
fuelectenerg-618	89	15	time	time	NOUN
fuelectenerg-618	89	16	.	.	PUNCT
fuelectenerg-618	90	1	the	the	DET
fuelectenerg-618	90	2	boolean	boolean	ADJ
fuelectenerg-618	90	3	differential	differential	ADJ
fuelectenerg-618	90	4	calculus	calculus	NOUN
fuelectenerg-618	90	5	(	(	PUNCT
fuelectenerg-618	90	6	bdc	bdc	PROPN
fuelectenerg-618	90	7	)	)	PUNCT
fuelectenerg-618	91	1	[	[	X
fuelectenerg-618	91	2	1–3	1–3	X
fuelectenerg-618	91	3	]	]	PUNCT
fuelectenerg-618	91	4	allows	allow	VERB
fuelectenerg-618	91	5	us	we	PRON
fuelectenerg-618	91	6	to	to	PART
fuelectenerg-618	91	7	study	study	VERB
fuelectenerg-618	91	8	the	the	DET
fuelectenerg-618	91	9	change	change	NOUN
fuelectenerg-618	91	10	of	of	ADP
fuelectenerg-618	91	11	the	the	DET
fuelectenerg-618	91	12	values	value	NOUN
fuelectenerg-618	91	13	of	of	ADP
fuelectenerg-618	91	14	boolean	boolean	ADJ
fuelectenerg-618	91	15	variables	variable	NOUN
fuelectenerg-618	91	16	and	and	CCONJ
fuelectenerg-618	91	17	boolean	boolean	ADJ
fuelectenerg-618	91	18	functions	function	NOUN
fuelectenerg-618	91	19	.	.	PUNCT
fuelectenerg-618	92	1	the	the	DET
fuelectenerg-618	92	2	substitution	substitution	NOUN
fuelectenerg-618	92	3	of	of	ADP
fuelectenerg-618	92	4	the	the	DET
fuelectenerg-618	92	5	derivative	derivative	ADJ
fuelectenerg-618	92	6	operations	operation	NOUN
fuelectenerg-618	92	7	of	of	ADP
fuelectenerg-618	92	8	the	the	DET
fuelectenerg-618	92	9	bdc	bdc	NOUN
fuelectenerg-618	92	10	into	into	ADP
fuelectenerg-618	92	11	a	a	DET
fuelectenerg-618	92	12	boolean	boolean	ADJ
fuelectenerg-618	92	13	equation	equation	NOUN
fuelectenerg-618	92	14	leads	lead	VERB
fuelectenerg-618	92	15	to	to	ADP
fuelectenerg-618	92	16	a	a	DET
fuelectenerg-618	92	17	boolean	boolean	ADJ
fuelectenerg-618	92	18	differential	differential	NOUN
fuelectenerg-618	92	19	equation	equation	NOUN
fuelectenerg-618	92	20	(	(	PUNCT
fuelectenerg-618	92	21	bde	bde	NOUN
fuelectenerg-618	92	22	)	)	PUNCT
fuelectenerg-618	93	1	[	[	X
fuelectenerg-618	93	2	4	4	NUM
fuelectenerg-618	93	3	,	,	PUNCT
fuelectenerg-618	93	4	5	5	NUM
fuelectenerg-618	93	5	]	]	PUNCT
fuelectenerg-618	93	6	.	.	PUNCT
fuelectenerg-618	94	1	a	a	DET
fuelectenerg-618	94	2	bde	bde	PROPN
fuelectenerg-618	94	3	has	have	VERB
fuelectenerg-618	94	4	a	a	DET
fuelectenerg-618	94	5	more	more	ADV
fuelectenerg-618	94	6	general	general	ADJ
fuelectenerg-618	94	7	solution	solution	NOUN
fuelectenerg-618	94	8	and	and	CCONJ
fuelectenerg-618	94	9	consequently	consequently	ADV
fuelectenerg-618	94	10	opens	open	VERB
fuelectenerg-618	94	11	a	a	DET
fuelectenerg-618	94	12	wider	wide	ADJ
fuelectenerg-618	94	13	field	field	NOUN
fuelectenerg-618	94	14	of	of	ADP
fuelectenerg-618	94	15	applications	application	NOUN
fuelectenerg-618	94	16	.	.	PUNCT
fuelectenerg-618	95	1	we	we	PRON
fuelectenerg-618	95	2	show	show	VERB
fuelectenerg-618	95	3	in	in	ADP
fuelectenerg-618	95	4	this	this	DET
fuelectenerg-618	95	5	paper	paper	NOUN
fuelectenerg-618	95	6	how	how	SCONJ
fuelectenerg-618	95	7	lattices	lattice	NOUN
fuelectenerg-618	95	8	of	of	ADP
fuelectenerg-618	95	9	boolean	boolean	ADJ
fuelectenerg-618	95	10	functions	function	NOUN
fuelectenerg-618	95	11	can	can	AUX
fuelectenerg-618	95	12	be	be	AUX
fuelectenerg-618	95	13	expressed	express	VERB
fuelectenerg-618	95	14	by	by	ADP
fuelectenerg-618	95	15	bdes	bde	NOUN
fuelectenerg-618	95	16	.	.	PUNCT
fuelectenerg-618	96	1	we	we	PRON
fuelectenerg-618	96	2	will	will	AUX
fuelectenerg-618	96	3	show	show	VERB
fuelectenerg-618	96	4	that	that	SCONJ
fuelectenerg-618	96	5	additionally	additionally	ADV
fuelectenerg-618	96	6	to	to	ADP
fuelectenerg-618	96	7	the	the	DET
fuelectenerg-618	96	8	well	well	ADV
fuelectenerg-618	96	9	known	know	VERB
fuelectenerg-618	96	10	lattices	lattice	NOUN
fuelectenerg-618	96	11	of	of	ADP
fuelectenerg-618	96	12	incompletely	incompletely	ADV
fuelectenerg-618	96	13	specified	specify	VERB
fuelectenerg-618	96	14	functions	function	NOUN
fuelectenerg-618	96	15	also	also	ADV
fuelectenerg-618	96	16	more	more	ADV
fuelectenerg-618	96	17	general	general	ADJ
fuelectenerg-618	96	18	lattices	lattice	NOUN
fuelectenerg-618	96	19	of	of	ADP
fuelectenerg-618	96	20	boolean	boolean	ADJ
fuelectenerg-618	96	21	functions	function	NOUN
fuelectenerg-618	96	22	can	can	AUX
fuelectenerg-618	96	23	be	be	AUX
fuelectenerg-618	96	24	described	describe	VERB
fuelectenerg-618	96	25	in	in	ADP
fuelectenerg-618	96	26	an	an	DET
fuelectenerg-618	96	27	easy	easy	ADJ
fuelectenerg-618	96	28	way	way	NOUN
fuelectenerg-618	96	29	using	use	VERB
fuelectenerg-618	96	30	the	the	DET
fuelectenerg-618	96	31	new	new	ADJ
fuelectenerg-618	96	32	special	special	ADJ
fuelectenerg-618	96	33	lattice	lattice	NOUN
fuelectenerg-618	96	34	-	-	PUNCT
fuelectenerg-618	96	35	bde	bde	NOUN
fuelectenerg-618	96	36	.	.	PUNCT
fuelectenerg-618	97	1	the	the	DET
fuelectenerg-618	97	2	generalized	generalize	VERB
fuelectenerg-618	97	3	lattices	lattice	NOUN
fuelectenerg-618	97	4	of	of	ADP
fuelectenerg-618	97	5	boolean	boolean	ADJ
fuelectenerg-618	97	6	functions	function	NOUN
fuelectenerg-618	97	7	open	open	VERB
fuelectenerg-618	97	8	a	a	DET
fuelectenerg-618	97	9	new	new	ADJ
fuelectenerg-618	97	10	field	field	NOUN
fuelectenerg-618	97	11	of	of	ADP
fuelectenerg-618	97	12	applications	application	NOUN
fuelectenerg-618	97	13	.	.	PUNCT
fuelectenerg-618	98	1	the	the	DET
fuelectenerg-618	98	2	rest	rest	NOUN
fuelectenerg-618	98	3	of	of	ADP
fuelectenerg-618	98	4	this	this	DET
fuelectenerg-618	98	5	paper	paper	NOUN
fuelectenerg-618	98	6	is	be	AUX
fuelectenerg-618	98	7	organized	organize	VERB
fuelectenerg-618	98	8	as	as	SCONJ
fuelectenerg-618	98	9	follows	follow	VERB
fuelectenerg-618	98	10	.	.	PUNCT
fuelectenerg-618	99	1	section	section	NOUN
fuelectenerg-618	99	2	2	2	NUM
fuelectenerg-618	99	3	defines	define	VERB
fuelectenerg-618	99	4	the	the	DET
fuelectenerg-618	99	5	derivative	derivative	ADJ
fuelectenerg-618	99	6	operations	operation	NOUN
fuelectenerg-618	99	7	of	of	ADP
fuelectenerg-618	99	8	the	the	DET
fuelectenerg-618	99	9	bdc	bdc	NOUN
fuelectenerg-618	99	10	and	and	CCONJ
fuelectenerg-618	99	11	briefly	briefly	NOUN
fuelectenerg-618	99	12	explains	explain	VERB
fuelectenerg-618	99	13	their	their	PRON
fuelectenerg-618	99	14	meaning	meaning	NOUN
fuelectenerg-618	99	15	.	.	PUNCT
fuelectenerg-618	100	1	section	section	NOUN
fuelectenerg-618	100	2	3	3	NUM
fuelectenerg-618	100	3	summarizes	summarize	VERB
fuelectenerg-618	100	4	the	the	DET
fuelectenerg-618	100	5	known	know	VERB
fuelectenerg-618	100	6	theory	theory	NOUN
fuelectenerg-618	100	7	of	of	ADP
fuelectenerg-618	100	8	boolean	boolean	ADJ
fuelectenerg-618	100	9	differential	differential	ADJ
fuelectenerg-618	100	10	equations	equation	NOUN
fuelectenerg-618	100	11	,	,	PUNCT
fuelectenerg-618	100	12	introduces	introduce	VERB
fuelectenerg-618	100	13	algorithms	algorithm	NOUN
fuelectenerg-618	100	14	that	that	PRON
fuelectenerg-618	100	15	calculates	calculate	VERB
fuelectenerg-618	100	16	either	either	DET
fuelectenerg-618	100	17	sets	set	NOUN
fuelectenerg-618	100	18	of	of	ADP
fuelectenerg-618	100	19	classes	class	NOUN
fuelectenerg-618	100	20	of	of	ADP
fuelectenerg-618	100	21	boolean	boolean	ADJ
fuelectenerg-618	100	22	functions	function	NOUN
fuelectenerg-618	100	23	or	or	CCONJ
fuelectenerg-618	100	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	100	25	sets	set	NOUN
fuelectenerg-618	100	26	of	of	ADP
fuelectenerg-618	100	27	boolean	boolean	ADJ
fuelectenerg-618	100	28	functions	function	NOUN
fuelectenerg-618	100	29	as	as	ADP
fuelectenerg-618	100	30	the	the	DET
fuelectenerg-618	100	31	solution	solution	NOUN
fuelectenerg-618	100	32	of	of	ADP
fuelectenerg-618	100	33	a	a	DET
fuelectenerg-618	100	34	bde	bde	NOUN
fuelectenerg-618	100	35	,	,	PUNCT
fuelectenerg-618	100	36	explains	explain	VERB
fuelectenerg-618	100	37	a	a	DET
fuelectenerg-618	100	38	method	method	NOUN
fuelectenerg-618	100	39	to	to	PART
fuelectenerg-618	100	40	map	map	VERB
fuelectenerg-618	100	41	a	a	DET
fuelectenerg-618	100	42	more	more	ADV
fuelectenerg-618	100	43	general	general	ADJ
fuelectenerg-618	100	44	bde	bde	NOUN
fuelectenerg-618	100	45	into	into	ADP
fuelectenerg-618	100	46	the	the	DET
fuelectenerg-618	100	47	form	form	NOUN
fuelectenerg-618	100	48	needed	need	VERB
fuelectenerg-618	100	49	for	for	ADP
fuelectenerg-618	100	50	one	one	NUM
fuelectenerg-618	100	51	of	of	ADP
fuelectenerg-618	100	52	these	these	DET
fuelectenerg-618	100	53	algorithms	algorithm	NOUN
fuelectenerg-618	100	54	,	,	PUNCT
fuelectenerg-618	100	55	and	and	CCONJ
fuelectenerg-618	100	56	shows	show	VERB
fuelectenerg-618	100	57	how	how	SCONJ
fuelectenerg-618	100	58	a	a	DET
fuelectenerg-618	100	59	xbooleproblem	xbooleproblem	NOUN
fuelectenerg-618	100	60	programs	program	NOUN
fuelectenerg-618	100	61	(	(	PUNCT
fuelectenerg-618	100	62	prp	prp	PROPN
fuelectenerg-618	100	63	)	)	PUNCT
fuelectenerg-618	100	64	can	can	AUX
fuelectenerg-618	100	65	solve	solve	VERB
fuelectenerg-618	100	66	a	a	DET
fuelectenerg-618	100	67	bde	bde	NOUN
fuelectenerg-618	100	68	in	in	ADP
fuelectenerg-618	100	69	the	the	DET
fuelectenerg-618	100	70	xboole	xboole	NOUN
fuelectenerg-618	100	71	-	-	PUNCT
fuelectenerg-618	100	72	monitor	monitor	NOUN
fuelectenerg-618	100	73	.	.	PUNCT
fuelectenerg-618	101	1	lattices	lattice	NOUN
fuelectenerg-618	101	2	of	of	ADP
fuelectenerg-618	101	3	boolean	boolean	ADJ
fuelectenerg-618	101	4	functions	function	NOUN
fuelectenerg-618	101	5	are	be	AUX
fuelectenerg-618	101	6	discussed	discuss	VERB
fuelectenerg-618	101	7	in	in	ADP
fuelectenerg-618	101	8	section	section	NOUN
fuelectenerg-618	101	9	4	4	NUM
fuelectenerg-618	101	10	as	as	ADP
fuelectenerg-618	101	11	a	a	DET
fuelectenerg-618	101	12	new	new	ADJ
fuelectenerg-618	101	13	field	field	NOUN
fuelectenerg-618	101	14	of	of	ADP
fuelectenerg-618	101	15	applications	application	NOUN
fuelectenerg-618	101	16	of	of	ADP
fuelectenerg-618	101	17	bdes	bde	NOUN
fuelectenerg-618	101	18	.	.	PUNCT
fuelectenerg-618	102	1	both	both	CCONJ
fuelectenerg-618	102	2	the	the	DET
fuelectenerg-618	102	3	well	well	ADV
fuelectenerg-618	102	4	known	know	VERB
fuelectenerg-618	102	5	lattices	lattice	NOUN
fuelectenerg-618	102	6	that	that	PRON
fuelectenerg-618	102	7	describe	describe	VERB
fuelectenerg-618	102	8	incompletely	incompletely	ADV
fuelectenerg-618	102	9	specified	specify	VERB
fuelectenerg-618	102	10	functions	function	NOUN
fuelectenerg-618	102	11	(	(	PUNCT
fuelectenerg-618	102	12	isf	isf	NOUN
fuelectenerg-618	102	13	)	)	PUNCT
fuelectenerg-618	102	14	and	and	CCONJ
fuelectenerg-618	102	15	a	a	DET
fuelectenerg-618	102	16	more	more	ADV
fuelectenerg-618	102	17	general	general	ADJ
fuelectenerg-618	102	18	type	type	NOUN
fuelectenerg-618	102	19	of	of	ADP
fuelectenerg-618	102	20	lattices	lattice	NOUN
fuelectenerg-618	102	21	of	of	ADP
fuelectenerg-618	102	22	boolean	boolean	ADJ
fuelectenerg-618	102	23	functions	function	NOUN
fuelectenerg-618	102	24	are	be	AUX
fuelectenerg-618	102	25	uniquely	uniquely	ADV
fuelectenerg-618	102	26	described	describe	VERB
fuelectenerg-618	102	27	using	use	VERB
fuelectenerg-618	102	28	lattice	lattice	NOUN
fuelectenerg-618	102	29	-	-	PUNCT
fuelectenerg-618	102	30	bdes	bde	NOUN
fuelectenerg-618	102	31	.	.	PUNCT
fuelectenerg-618	103	1	several	several	ADJ
fuelectenerg-618	103	2	examples	example	NOUN
fuelectenerg-618	103	3	show	show	VERB
fuelectenerg-618	103	4	that	that	SCONJ
fuelectenerg-618	103	5	the	the	DET
fuelectenerg-618	103	6	known	know	VERB
fuelectenerg-618	103	7	algorithm	algorithm	NOUN
fuelectenerg-618	103	8	can	can	AUX
fuelectenerg-618	103	9	be	be	AUX
fuelectenerg-618	103	10	used	use	VERB
fuelectenerg-618	103	11	to	to	PART
fuelectenerg-618	103	12	solve	solve	VERB
fuelectenerg-618	103	13	different	different	ADJ
fuelectenerg-618	103	14	types	type	NOUN
fuelectenerg-618	103	15	of	of	ADP
fuelectenerg-618	103	16	lattice	lattice	NOUN
fuelectenerg-618	103	17	-	-	PUNCT
fuelectenerg-618	103	18	bdes	bde	NOUN
fuelectenerg-618	103	19	.	.	PUNCT
fuelectenerg-618	104	1	finally	finally	ADV
fuelectenerg-618	104	2	,	,	PUNCT
fuelectenerg-618	104	3	section	section	NOUN
fuelectenerg-618	104	4	5	5	NUM
fuelectenerg-618	104	5	concludes	conclude	VERB
fuelectenerg-618	104	6	this	this	DET
fuelectenerg-618	104	7	paper	paper	NOUN
fuelectenerg-618	104	8	.	.	PUNCT
fuelectenerg-618	105	1	boolean	boolean	ADJ
fuelectenerg-618	105	2	differential	differential	ADJ
fuelectenerg-618	105	3	equations	equation	NOUN
fuelectenerg-618	105	4	a	a	DET
fuelectenerg-618	105	5	common	common	ADJ
fuelectenerg-618	105	6	model	model	NOUN
fuelectenerg-618	105	7	for	for	ADP
fuelectenerg-618	105	8	classes	class	NOUN
fuelectenerg-618	105	9	,	,	PUNCT
fuelectenerg-618	105	10	lattices	lattice	NOUN
fuelectenerg-618	105	11	,	,	PUNCT
fuelectenerg-618	105	12	...	...	PUNCT
fuelectenerg-618	105	13	103	103	NUM
fuelectenerg-618	105	14	2	2	NUM
fuelectenerg-618	105	15	derivative	derivative	ADJ
fuelectenerg-618	105	16	operations	operation	NOUN
fuelectenerg-618	105	17	of	of	ADP
fuelectenerg-618	105	18	the	the	DET
fuelectenerg-618	105	19	boolean	boolean	ADJ
fuelectenerg-618	105	20	differential	differential	NOUN
fuelectenerg-618	105	21	calculus	calculus	NOUN
fuelectenerg-618	105	22	the	the	DET
fuelectenerg-618	105	23	bdc	bdc	PROPN
fuelectenerg-618	105	24	defines	define	VERB
fuelectenerg-618	105	25	the	the	DET
fuelectenerg-618	105	26	boolean	boolean	ADJ
fuelectenerg-618	105	27	differential	differential	NOUN
fuelectenerg-618	105	28	dx	dx	PROPN
fuelectenerg-618	105	29	which	which	PRON
fuelectenerg-618	105	30	is	be	AUX
fuelectenerg-618	105	31	also	also	ADV
fuelectenerg-618	105	32	a	a	DET
fuelectenerg-618	105	33	boolean	boolean	ADJ
fuelectenerg-618	105	34	variable	variable	NOUN
fuelectenerg-618	105	35	that	that	PRON
fuelectenerg-618	105	36	is	be	AUX
fuelectenerg-618	105	37	equal	equal	ADJ
fuelectenerg-618	105	38	to	to	ADP
fuelectenerg-618	105	39	1	1	NUM
fuelectenerg-618	105	40	in	in	ADP
fuelectenerg-618	105	41	the	the	DET
fuelectenerg-618	105	42	case	case	NOUN
fuelectenerg-618	105	43	that	that	SCONJ
fuelectenerg-618	105	44	x	x	PRON
fuelectenerg-618	105	45	changes	change	VERB
fuelectenerg-618	105	46	its	its	PRON
fuelectenerg-618	105	47	value	value	NOUN
fuelectenerg-618	105	48	.	.	PUNCT
fuelectenerg-618	106	1	additionally	additionally	ADV
fuelectenerg-618	106	2	,	,	PUNCT
fuelectenerg-618	106	3	the	the	DET
fuelectenerg-618	106	4	bdc	bdc	PROPN
fuelectenerg-618	106	5	defines	define	VERB
fuelectenerg-618	106	6	several	several	ADJ
fuelectenerg-618	106	7	differential	differential	ADJ
fuelectenerg-618	106	8	operations	operation	NOUN
fuelectenerg-618	106	9	of	of	ADP
fuelectenerg-618	106	10	boolean	boolean	ADJ
fuelectenerg-618	106	11	functions	function	NOUN
fuelectenerg-618	106	12	which	which	PRON
fuelectenerg-618	106	13	describe	describe	VERB
fuelectenerg-618	106	14	certain	certain	ADJ
fuelectenerg-618	106	15	general	general	ADJ
fuelectenerg-618	106	16	properties	property	NOUN
fuelectenerg-618	106	17	depending	depend	VERB
fuelectenerg-618	106	18	on	on	ADP
fuelectenerg-618	106	19	possible	possible	ADJ
fuelectenerg-618	106	20	directions	direction	NOUN
fuelectenerg-618	106	21	of	of	ADP
fuelectenerg-618	106	22	change	change	NOUN
fuelectenerg-618	106	23	.	.	PUNCT
fuelectenerg-618	107	1	we	we	PRON
fuelectenerg-618	107	2	confine	confine	VERB
fuelectenerg-618	107	3	ourselves	ourselves	PRON
fuelectenerg-618	107	4	to	to	ADP
fuelectenerg-618	107	5	derivatives	derivative	NOUN
fuelectenerg-618	107	6	of	of	ADP
fuelectenerg-618	107	7	the	the	DET
fuelectenerg-618	107	8	bdc	bdc	NOUN
fuelectenerg-618	107	9	where	where	SCONJ
fuelectenerg-618	107	10	the	the	DET
fuelectenerg-618	107	11	direction	direction	NOUN
fuelectenerg-618	107	12	of	of	ADP
fuelectenerg-618	107	13	change	change	NOUN
fuelectenerg-618	107	14	is	be	AUX
fuelectenerg-618	107	15	fixed	fix	VERB
fuelectenerg-618	107	16	.	.	PUNCT
fuelectenerg-618	108	1	for	for	ADP
fuelectenerg-618	108	2	simple	simple	ADJ
fuelectenerg-618	108	3	derivative	derivative	ADJ
fuelectenerg-618	108	4	operations	operation	NOUN
fuelectenerg-618	108	5	the	the	DET
fuelectenerg-618	108	6	direction	direction	NOUN
fuelectenerg-618	108	7	of	of	ADP
fuelectenerg-618	108	8	change	change	NOUN
fuelectenerg-618	108	9	is	be	AUX
fuelectenerg-618	108	10	restricted	restrict	VERB
fuelectenerg-618	108	11	to	to	ADP
fuelectenerg-618	108	12	a	a	DET
fuelectenerg-618	108	13	single	single	ADJ
fuelectenerg-618	108	14	variable	variable	NOUN
fuelectenerg-618	108	15	xi	xi	NOUN
fuelectenerg-618	108	16	.	.	PUNCT
fuelectenerg-618	109	1	the	the	DET
fuelectenerg-618	109	2	(	(	PUNCT
fuelectenerg-618	109	3	simple	simple	ADJ
fuelectenerg-618	109	4	)	)	PUNCT
fuelectenerg-618	109	5	derivative	derivative	ADJ
fuelectenerg-618	109	6	∂	∂	NOUN
fuelectenerg-618	109	7	f	f	NOUN
fuelectenerg-618	109	8	(	(	PUNCT
fuelectenerg-618	109	9	xi	xi	PROPN
fuelectenerg-618	109	10	,	,	PUNCT
fuelectenerg-618	109	11	x1	x1	ADJ
fuelectenerg-618	109	12	)	)	PUNCT
fuelectenerg-618	109	13	∂xi	∂xi	NOUN
fuelectenerg-618	109	14	=	=	SYM
fuelectenerg-618	109	15	f	f	PROPN
fuelectenerg-618	109	16	(	(	PUNCT
fuelectenerg-618	109	17	xi	xi	X
fuelectenerg-618	109	18	=	=	PUNCT
fuelectenerg-618	109	19	0,x1)⊕	0,x1)⊕	PROPN
fuelectenerg-618	109	20	f	f	PROPN
fuelectenerg-618	109	21	(	(	PUNCT
fuelectenerg-618	109	22	xi	xi	X
fuelectenerg-618	109	23	=	=	SYM
fuelectenerg-618	109	24	1,x1	1,x1	NUM
fuelectenerg-618	109	25	)	)	PUNCT
fuelectenerg-618	109	26	(	(	PUNCT
fuelectenerg-618	109	27	1	1	X
fuelectenerg-618	109	28	)	)	PUNCT
fuelectenerg-618	109	29	is	be	AUX
fuelectenerg-618	109	30	equal	equal	ADJ
fuelectenerg-618	109	31	to	to	ADP
fuelectenerg-618	109	32	1	1	NUM
fuelectenerg-618	109	33	if	if	SCONJ
fuelectenerg-618	109	34	the	the	DET
fuelectenerg-618	109	35	function	function	NOUN
fuelectenerg-618	109	36	f	f	X
fuelectenerg-618	109	37	(	(	PUNCT
fuelectenerg-618	109	38	xi	xi	PROPN
fuelectenerg-618	109	39	,	,	PUNCT
fuelectenerg-618	109	40	x1	x1	PROPN
fuelectenerg-618	109	41	)	)	PUNCT
fuelectenerg-618	109	42	changes	change	VERB
fuelectenerg-618	109	43	its	its	PRON
fuelectenerg-618	109	44	value	value	NOUN
fuelectenerg-618	109	45	when	when	SCONJ
fuelectenerg-618	109	46	the	the	DET
fuelectenerg-618	109	47	value	value	NOUN
fuelectenerg-618	109	48	of	of	ADP
fuelectenerg-618	109	49	xi	xi	PROPN
fuelectenerg-618	109	50	changes	change	NOUN
fuelectenerg-618	109	51	.	.	PUNCT
fuelectenerg-618	110	1	the	the	DET
fuelectenerg-618	110	2	(	(	PUNCT
fuelectenerg-618	110	3	simple	simple	ADJ
fuelectenerg-618	110	4	)	)	PUNCT
fuelectenerg-618	110	5	minimum	minimum	NOUN
fuelectenerg-618	110	6	min	min	NOUN
fuelectenerg-618	110	7	xi	xi	X
fuelectenerg-618	110	8	f	f	PROPN
fuelectenerg-618	110	9	(	(	PUNCT
fuelectenerg-618	110	10	xi	xi	PROPN
fuelectenerg-618	110	11	,	,	PUNCT
fuelectenerg-618	110	12	x1	x1	PROPN
fuelectenerg-618	110	13	)	)	PUNCT
fuelectenerg-618	111	1	=	=	SYM
fuelectenerg-618	111	2	f	f	PROPN
fuelectenerg-618	111	3	(	(	PUNCT
fuelectenerg-618	111	4	xi	xi	X
fuelectenerg-618	111	5	=	=	SYM
fuelectenerg-618	111	6	0,x1)∧	0,x1)∧	NUM
fuelectenerg-618	112	1	f	f	X
fuelectenerg-618	112	2	(	(	PUNCT
fuelectenerg-618	112	3	xi	xi	X
fuelectenerg-618	112	4	=	=	SYM
fuelectenerg-618	112	5	1,x1	1,x1	NUM
fuelectenerg-618	112	6	)	)	PUNCT
fuelectenerg-618	112	7	(	(	PUNCT
fuelectenerg-618	112	8	2	2	X
fuelectenerg-618	112	9	)	)	PUNCT
fuelectenerg-618	112	10	is	be	AUX
fuelectenerg-618	112	11	equal	equal	ADJ
fuelectenerg-618	112	12	to	to	ADP
fuelectenerg-618	112	13	1	1	NUM
fuelectenerg-618	112	14	when	when	SCONJ
fuelectenerg-618	112	15	the	the	DET
fuelectenerg-618	112	16	value	value	NOUN
fuelectenerg-618	112	17	of	of	ADP
fuelectenerg-618	112	18	the	the	DET
fuelectenerg-618	112	19	function	function	NOUN
fuelectenerg-618	112	20	f	f	PROPN
fuelectenerg-618	112	21	(	(	PUNCT
fuelectenerg-618	112	22	xi	xi	PROPN
fuelectenerg-618	112	23	,	,	PUNCT
fuelectenerg-618	112	24	x1	x1	PROPN
fuelectenerg-618	112	25	)	)	PUNCT
fuelectenerg-618	112	26	remains	remain	VERB
fuelectenerg-618	112	27	unchanged	unchanged	ADJ
fuelectenerg-618	112	28	equal	equal	ADJ
fuelectenerg-618	112	29	to	to	ADP
fuelectenerg-618	112	30	1	1	NUM
fuelectenerg-618	112	31	while	while	SCONJ
fuelectenerg-618	112	32	the	the	DET
fuelectenerg-618	112	33	value	value	NOUN
fuelectenerg-618	112	34	of	of	ADP
fuelectenerg-618	112	35	xi	xi	PROPN
fuelectenerg-618	112	36	changes	change	NOUN
fuelectenerg-618	112	37	.	.	PUNCT
fuelectenerg-618	113	1	the	the	DET
fuelectenerg-618	113	2	(	(	PUNCT
fuelectenerg-618	113	3	simple	simple	ADJ
fuelectenerg-618	113	4	)	)	PUNCT
fuelectenerg-618	113	5	maximum	maximum	ADJ
fuelectenerg-618	113	6	max	max	PROPN
fuelectenerg-618	113	7	xi	xi	X
fuelectenerg-618	113	8	f	f	PROPN
fuelectenerg-618	113	9	(	(	PUNCT
fuelectenerg-618	113	10	xi	xi	PROPN
fuelectenerg-618	113	11	,	,	PUNCT
fuelectenerg-618	113	12	x1	x1	PROPN
fuelectenerg-618	113	13	)	)	PUNCT
fuelectenerg-618	113	14	=	=	SYM
fuelectenerg-618	113	15	f	f	PROPN
fuelectenerg-618	113	16	(	(	PUNCT
fuelectenerg-618	113	17	xi	xi	X
fuelectenerg-618	113	18	=	=	SYM
fuelectenerg-618	113	19	0,x1)∨	0,x1)∨	PROPN
fuelectenerg-618	114	1	f	f	PROPN
fuelectenerg-618	114	2	(	(	PUNCT
fuelectenerg-618	114	3	xi	xi	X
fuelectenerg-618	114	4	=	=	SYM
fuelectenerg-618	114	5	1,x1	1,x1	NUM
fuelectenerg-618	114	6	)	)	PUNCT
fuelectenerg-618	114	7	(	(	PUNCT
fuelectenerg-618	114	8	3	3	X
fuelectenerg-618	114	9	)	)	PUNCT
fuelectenerg-618	114	10	is	be	AUX
fuelectenerg-618	114	11	equal	equal	ADJ
fuelectenerg-618	114	12	to	to	ADP
fuelectenerg-618	114	13	0	0	NUM
fuelectenerg-618	114	14	when	when	SCONJ
fuelectenerg-618	114	15	the	the	DET
fuelectenerg-618	114	16	value	value	NOUN
fuelectenerg-618	114	17	of	of	ADP
fuelectenerg-618	114	18	the	the	DET
fuelectenerg-618	114	19	function	function	NOUN
fuelectenerg-618	114	20	f	f	PROPN
fuelectenerg-618	114	21	(	(	PUNCT
fuelectenerg-618	114	22	xi	xi	PROPN
fuelectenerg-618	114	23	,	,	PUNCT
fuelectenerg-618	114	24	x1	x1	PROPN
fuelectenerg-618	114	25	)	)	PUNCT
fuelectenerg-618	114	26	remains	remain	VERB
fuelectenerg-618	114	27	unchanged	unchanged	ADJ
fuelectenerg-618	114	28	equal	equal	ADJ
fuelectenerg-618	114	29	to	to	ADP
fuelectenerg-618	114	30	0	0	NUM
fuelectenerg-618	114	31	while	while	SCONJ
fuelectenerg-618	114	32	the	the	DET
fuelectenerg-618	114	33	value	value	NOUN
fuelectenerg-618	114	34	of	of	ADP
fuelectenerg-618	114	35	xi	xi	PROPN
fuelectenerg-618	114	36	changes	change	NOUN
fuelectenerg-618	114	37	.	.	PUNCT
fuelectenerg-618	115	1	vectorial	vectorial	ADJ
fuelectenerg-618	115	2	derivative	derivative	ADJ
fuelectenerg-618	115	3	operations	operation	NOUN
fuelectenerg-618	115	4	similarly	similarly	ADV
fuelectenerg-618	115	5	describe	describe	VERB
fuelectenerg-618	115	6	cases	case	NOUN
fuelectenerg-618	115	7	where	where	SCONJ
fuelectenerg-618	115	8	all	all	DET
fuelectenerg-618	115	9	variables	variable	NOUN
fuelectenerg-618	115	10	of	of	ADP
fuelectenerg-618	115	11	the	the	DET
fuelectenerg-618	115	12	vector	vector	NOUN
fuelectenerg-618	115	13	x0	x0	PROPN
fuelectenerg-618	115	14	change	change	VERB
fuelectenerg-618	115	15	their	their	PRON
fuelectenerg-618	115	16	values	value	NOUN
fuelectenerg-618	115	17	at	at	ADP
fuelectenerg-618	115	18	the	the	DET
fuelectenerg-618	115	19	same	same	ADJ
fuelectenerg-618	115	20	point	point	NOUN
fuelectenerg-618	115	21	in	in	ADP
fuelectenerg-618	115	22	time	time	NOUN
fuelectenerg-618	115	23	.	.	PUNCT
fuelectenerg-618	116	1	the	the	DET
fuelectenerg-618	116	2	following	follow	VERB
fuelectenerg-618	116	3	formulas	formula	NOUN
fuelectenerg-618	116	4	define	define	VERB
fuelectenerg-618	116	5	the	the	DET
fuelectenerg-618	116	6	vectorial	vectorial	ADJ
fuelectenerg-618	116	7	derivative	derivative	NOUN
fuelectenerg-618	116	8	,	,	PUNCT
fuelectenerg-618	116	9	the	the	DET
fuelectenerg-618	116	10	vectorial	vectorial	ADJ
fuelectenerg-618	116	11	minimum	minimum	NOUN
fuelectenerg-618	116	12	,	,	PUNCT
fuelectenerg-618	116	13	and	and	CCONJ
fuelectenerg-618	116	14	the	the	DET
fuelectenerg-618	116	15	vectorial	vectorial	ADJ
fuelectenerg-618	116	16	maximum	maximum	NOUN
fuelectenerg-618	116	17	:	:	PUNCT
fuelectenerg-618	116	18	∂	∂	NUM
fuelectenerg-618	116	19	f	f	X
fuelectenerg-618	116	20	(	(	PUNCT
fuelectenerg-618	116	21	x0,x1	x0,x1	PROPN
fuelectenerg-618	116	22	)	)	PUNCT
fuelectenerg-618	117	1	∂x0	∂x0	PROPN
fuelectenerg-618	118	1	=	=	PUNCT
fuelectenerg-618	118	2	f	f	PROPN
fuelectenerg-618	118	3	(	(	PUNCT
fuelectenerg-618	118	4	x0,x1)⊕	x0,x1)⊕	PROPN
fuelectenerg-618	118	5	f	f	PROPN
fuelectenerg-618	118	6	(	(	PUNCT
fuelectenerg-618	118	7	x0,x1	x0,x1	PROPN
fuelectenerg-618	118	8	)	)	PUNCT
fuelectenerg-618	118	9	,	,	PUNCT
fuelectenerg-618	118	10	(	(	PUNCT
fuelectenerg-618	118	11	4	4	X
fuelectenerg-618	118	12	)	)	PUNCT
fuelectenerg-618	118	13	min	min	NOUN
fuelectenerg-618	119	1	x0	x0	PROPN
fuelectenerg-618	119	2	f	f	PROPN
fuelectenerg-618	119	3	(	(	PUNCT
fuelectenerg-618	119	4	x0,x1	x0,x1	PROPN
fuelectenerg-618	119	5	)	)	PUNCT
fuelectenerg-618	120	1	=	=	SYM
fuelectenerg-618	120	2	f	f	X
fuelectenerg-618	120	3	(	(	PUNCT
fuelectenerg-618	120	4	x0,x1)∧	x0,x1)∧	PROPN
fuelectenerg-618	120	5	f	f	PROPN
fuelectenerg-618	120	6	(	(	PUNCT
fuelectenerg-618	120	7	x0,x1	x0,x1	PROPN
fuelectenerg-618	120	8	)	)	PUNCT
fuelectenerg-618	120	9	,	,	PUNCT
fuelectenerg-618	120	10	(	(	PUNCT
fuelectenerg-618	120	11	5	5	X
fuelectenerg-618	120	12	)	)	PUNCT
fuelectenerg-618	120	13	max	max	NOUN
fuelectenerg-618	120	14	x0	x0	PROPN
fuelectenerg-618	120	15	f	f	PROPN
fuelectenerg-618	120	16	(	(	PUNCT
fuelectenerg-618	120	17	x0,x1	x0,x1	PROPN
fuelectenerg-618	120	18	)	)	PUNCT
fuelectenerg-618	121	1	=	=	SYM
fuelectenerg-618	121	2	f	f	PROPN
fuelectenerg-618	121	3	(	(	PUNCT
fuelectenerg-618	121	4	x0,x1)∨	x0,x1)∨	PROPN
fuelectenerg-618	121	5	f	f	PROPN
fuelectenerg-618	121	6	(	(	PUNCT
fuelectenerg-618	121	7	x0,x1	x0,x1	PROPN
fuelectenerg-618	121	8	)	)	PUNCT
fuelectenerg-618	121	9	.	.	PUNCT
fuelectenerg-618	122	1	(	(	PUNCT
fuelectenerg-618	122	2	6	6	X
fuelectenerg-618	122	3	)	)	PUNCT
fuelectenerg-618	122	4	the	the	DET
fuelectenerg-618	122	5	simple	simple	ADJ
fuelectenerg-618	122	6	derivative	derivative	ADJ
fuelectenerg-618	122	7	operations	operation	NOUN
fuelectenerg-618	122	8	can	can	AUX
fuelectenerg-618	122	9	sequentially	sequentially	ADV
fuelectenerg-618	122	10	be	be	AUX
fuelectenerg-618	122	11	executed	execute	VERB
fuelectenerg-618	122	12	with	with	ADP
fuelectenerg-618	122	13	regard	regard	NOUN
fuelectenerg-618	122	14	to	to	ADP
fuelectenerg-618	122	15	different	different	ADJ
fuelectenerg-618	122	16	variables	variable	NOUN
fuelectenerg-618	122	17	of	of	ADP
fuelectenerg-618	122	18	a	a	DET
fuelectenerg-618	122	19	subset	subset	NOUN
fuelectenerg-618	122	20	x0	x0	PROPN
fuelectenerg-618	122	21	.	.	PUNCT
fuelectenerg-618	123	1	such	such	ADJ
fuelectenerg-618	123	2	m	m	ADJ
fuelectenerg-618	123	3	-	-	ADJ
fuelectenerg-618	123	4	fold	fold	ADJ
fuelectenerg-618	123	5	derivative	derivative	ADJ
fuelectenerg-618	123	6	operations	operation	NOUN
fuelectenerg-618	123	7	describe	describe	VERB
fuelectenerg-618	123	8	a	a	DET
fuelectenerg-618	123	9	special	special	ADJ
fuelectenerg-618	123	10	property	property	NOUN
fuelectenerg-618	123	11	for	for	ADP
fuelectenerg-618	123	12	subspaces	subspace	NOUN
fuelectenerg-618	123	13	x1	x1	NOUN
fuelectenerg-618	123	14	=	=	SYM
fuelectenerg-618	123	15	const	const	PROPN
fuelectenerg-618	123	16	.	.	PUNCT
fuelectenerg-618	124	1	the	the	DET
fuelectenerg-618	124	2	following	follow	VERB
fuelectenerg-618	124	3	formulas	formula	NOUN
fuelectenerg-618	124	4	define	define	VERB
fuelectenerg-618	124	5	the	the	DET
fuelectenerg-618	124	6	mfold	mfold	NOUN
fuelectenerg-618	124	7	derivative	derivative	NOUN
fuelectenerg-618	124	8	,	,	PUNCT
fuelectenerg-618	124	9	the	the	DET
fuelectenerg-618	124	10	m	m	ADJ
fuelectenerg-618	124	11	-	-	ADJ
fuelectenerg-618	124	12	fold	fold	ADJ
fuelectenerg-618	124	13	minimum	minimum	NOUN
fuelectenerg-618	124	14	,	,	PUNCT
fuelectenerg-618	124	15	the	the	DET
fuelectenerg-618	124	16	m	m	ADJ
fuelectenerg-618	124	17	-	-	ADJ
fuelectenerg-618	124	18	fold	fold	ADJ
fuelectenerg-618	124	19	maximum	maximum	NOUN
fuelectenerg-618	124	20	,	,	PUNCT
fuelectenerg-618	124	21	and	and	CCONJ
fuelectenerg-618	124	22	the	the	DET
fuelectenerg-618	124	23	∆-operation	∆-operation	NOUN
fuelectenerg-618	124	24	:	:	PUNCT
fuelectenerg-618	124	25	52	52	NUM
fuelectenerg-618	124	26	b.	b.	PROPN
fuelectenerg-618	124	27	steinbach	steinbach	PROPN
fuelectenerg-618	124	28	,	,	PUNCT
fuelectenerg-618	124	29	c.	c.	PROPN
fuelectenerg-618	124	30	posthoff	posthoff	PROPN
fuelectenerg-618	124	31	boolean	boolean	ADJ
fuelectenerg-618	124	32	differential	differential	ADJ
fuelectenerg-618	124	33	equations	equation	NOUN
fuelectenerg-618	124	34	–	–	PUNCT
fuelectenerg-618	124	35	a	a	DET
fuelectenerg-618	124	36	common	common	ADJ
fuelectenerg-618	124	37	model	model	NOUN
fuelectenerg-618	124	38	for	for	ADP
fuelectenerg-618	124	39	classes	class	NOUN
fuelectenerg-618	124	40	,	,	PUNCT
fuelectenerg-618	124	41	lattices	lattice	NOUN
fuelectenerg-618	124	42	...	...	PUNCT
fuelectenerg-618	125	1	53	53	NUM
fuelectenerg-618	125	2	104	104	NUM
fuelectenerg-618	125	3	b.	b.	PROPN
fuelectenerg-618	125	4	steinbach	steinbach	PROPN
fuelectenerg-618	125	5	and	and	CCONJ
fuelectenerg-618	125	6	c.	c.	PROPN
fuelectenerg-618	125	7	posthoff	posthoff	PROPN
fuelectenerg-618	125	8	∂	∂	NOUN
fuelectenerg-618	125	9	m	m	VERB
fuelectenerg-618	125	10	f	f	X
fuelectenerg-618	125	11	(	(	PUNCT
fuelectenerg-618	125	12	x0,x1	x0,x1	PROPN
fuelectenerg-618	125	13	)	)	PUNCT
fuelectenerg-618	125	14	∂x1∂x2	∂x1∂x2	NOUN
fuelectenerg-618	125	15	.	.	PUNCT
fuelectenerg-618	125	16	.	.	PUNCT
fuelectenerg-618	126	1	.∂xm	.∂xm	NOUN
fuelectenerg-618	127	1	=	=	SYM
fuelectenerg-618	127	2	∂	∂	NUM
fuelectenerg-618	127	3	∂xm	∂xm	NOUN
fuelectenerg-618	127	4	(	(	PUNCT
fuelectenerg-618	127	5	.	.	PUNCT
fuelectenerg-618	127	6	.	.	PUNCT
fuelectenerg-618	127	7	.	.	PUNCT
fuelectenerg-618	128	1	(	(	PUNCT
fuelectenerg-618	128	2	∂	∂	NUM
fuelectenerg-618	128	3	∂x2	∂x2	NOUN
fuelectenerg-618	128	4	(	(	PUNCT
fuelectenerg-618	128	5	∂	∂	NUM
fuelectenerg-618	128	6	f	f	X
fuelectenerg-618	128	7	(	(	PUNCT
fuelectenerg-618	128	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	128	9	)	)	PUNCT
fuelectenerg-618	128	10	∂x1	∂x1	NOUN
fuelectenerg-618	128	11	)	)	PUNCT
fuelectenerg-618	128	12	)	)	PUNCT
fuelectenerg-618	128	13	.	.	PUNCT
fuelectenerg-618	128	14	.	.	PUNCT
fuelectenerg-618	128	15	.	.	PUNCT
fuelectenerg-618	128	16	)	)	PUNCT
fuelectenerg-618	129	1	,	,	PUNCT
fuelectenerg-618	129	2	(	(	PUNCT
fuelectenerg-618	129	3	7	7	X
fuelectenerg-618	129	4	)	)	PUNCT
fuelectenerg-618	129	5	min	min	NOUN
fuelectenerg-618	130	1	x0	x0	PROPN
fuelectenerg-618	130	2	m	m	VERB
fuelectenerg-618	130	3	f	f	X
fuelectenerg-618	130	4	(	(	PUNCT
fuelectenerg-618	130	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	130	6	)	)	PUNCT
fuelectenerg-618	131	1	=	=	SYM
fuelectenerg-618	131	2	min	min	NOUN
fuelectenerg-618	131	3	xm	xm	PROPN
fuelectenerg-618	131	4	(	(	PUNCT
fuelectenerg-618	131	5	.	.	PUNCT
fuelectenerg-618	131	6	.	.	PUNCT
fuelectenerg-618	131	7	.	.	PUNCT
fuelectenerg-618	132	1	(	(	PUNCT
fuelectenerg-618	132	2	min	min	NOUN
fuelectenerg-618	132	3	x2	x2	INTJ
fuelectenerg-618	132	4	(	(	PUNCT
fuelectenerg-618	132	5	min	min	PROPN
fuelectenerg-618	132	6	x1	x1	PROPN
fuelectenerg-618	132	7	f	f	X
fuelectenerg-618	132	8	(	(	PUNCT
fuelectenerg-618	132	9	x0,x1	x0,x1	PROPN
fuelectenerg-618	132	10	)	)	PUNCT
fuelectenerg-618	132	11	)	)	PUNCT
fuelectenerg-618	132	12	)	)	PUNCT
fuelectenerg-618	132	13	.	.	PUNCT
fuelectenerg-618	132	14	.	.	PUNCT
fuelectenerg-618	132	15	.	.	PUNCT
fuelectenerg-618	132	16	)	)	PUNCT
fuelectenerg-618	133	1	,	,	PUNCT
fuelectenerg-618	133	2	(	(	PUNCT
fuelectenerg-618	133	3	8)	8)	NUM
fuelectenerg-618	133	4	max	max	NOUN
fuelectenerg-618	134	1	x0	x0	PROPN
fuelectenerg-618	134	2	m	m	PROPN
fuelectenerg-618	134	3	f	f	X
fuelectenerg-618	134	4	(	(	PUNCT
fuelectenerg-618	134	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	134	6	)	)	PUNCT
fuelectenerg-618	134	7	=	=	SYM
fuelectenerg-618	134	8	max	max	PROPN
fuelectenerg-618	134	9	xm	xm	PROPN
fuelectenerg-618	134	10	(	(	PUNCT
fuelectenerg-618	134	11	.	.	PUNCT
fuelectenerg-618	134	12	.	.	PUNCT
fuelectenerg-618	134	13	.	.	PUNCT
fuelectenerg-618	135	1	(	(	PUNCT
fuelectenerg-618	135	2	max	max	PROPN
fuelectenerg-618	135	3	x2	x2	PROPN
fuelectenerg-618	135	4	(	(	PUNCT
fuelectenerg-618	135	5	max	max	PROPN
fuelectenerg-618	135	6	x1	x1	PROPN
fuelectenerg-618	135	7	f	f	PROPN
fuelectenerg-618	135	8	(	(	PUNCT
fuelectenerg-618	135	9	x0,x1	x0,x1	PROPN
fuelectenerg-618	135	10	)	)	PUNCT
fuelectenerg-618	135	11	)	)	PUNCT
fuelectenerg-618	135	12	)	)	PUNCT
fuelectenerg-618	135	13	.	.	PUNCT
fuelectenerg-618	135	14	.	.	PUNCT
fuelectenerg-618	135	15	.	.	PUNCT
fuelectenerg-618	135	16	)	)	PUNCT
fuelectenerg-618	136	1	,	,	PUNCT
fuelectenerg-618	136	2	(	(	PUNCT
fuelectenerg-618	136	3	9	9	X
fuelectenerg-618	136	4	)	)	PUNCT
fuelectenerg-618	136	5	∆x0	∆x0	PROPN
fuelectenerg-618	136	6	f	f	X
fuelectenerg-618	136	7	(	(	PUNCT
fuelectenerg-618	136	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	136	9	)	)	PUNCT
fuelectenerg-618	136	10	=	=	SYM
fuelectenerg-618	136	11	min	min	NOUN
fuelectenerg-618	137	1	x0	x0	PROPN
fuelectenerg-618	137	2	m	m	VERB
fuelectenerg-618	137	3	f	f	X
fuelectenerg-618	137	4	(	(	PUNCT
fuelectenerg-618	137	5	x0,x1)⊕max	x0,x1)⊕max	PROPN
fuelectenerg-618	138	1	x0	x0	PROPN
fuelectenerg-618	138	2	m	m	VERB
fuelectenerg-618	138	3	f	f	X
fuelectenerg-618	138	4	(	(	PUNCT
fuelectenerg-618	138	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	138	6	)	)	PUNCT
fuelectenerg-618	138	7	.	.	PUNCT
fuelectenerg-618	139	1	(	(	PUNCT
fuelectenerg-618	139	2	10	10	NUM
fuelectenerg-618	139	3	)	)	PUNCT
fuelectenerg-618	139	4	because	because	SCONJ
fuelectenerg-618	139	5	of	of	ADP
fuelectenerg-618	139	6	the	the	DET
fuelectenerg-618	139	7	limited	limited	ADJ
fuelectenerg-618	139	8	space	space	NOUN
fuelectenerg-618	139	9	,	,	PUNCT
fuelectenerg-618	139	10	we	we	PRON
fuelectenerg-618	139	11	skip	skip	VERB
fuelectenerg-618	139	12	all	all	DET
fuelectenerg-618	139	13	theorems	theorem	NOUN
fuelectenerg-618	139	14	about	about	ADP
fuelectenerg-618	139	15	relations	relation	NOUN
fuelectenerg-618	139	16	between	between	ADP
fuelectenerg-618	139	17	certain	certain	ADJ
fuelectenerg-618	139	18	derivative	derivative	ADJ
fuelectenerg-618	139	19	operations	operation	NOUN
fuelectenerg-618	139	20	and	and	CCONJ
fuelectenerg-618	139	21	refer	refer	VERB
fuelectenerg-618	139	22	to	to	ADP
fuelectenerg-618	139	23	[	[	X
fuelectenerg-618	139	24	3	3	NUM
fuelectenerg-618	139	25	,	,	PUNCT
fuelectenerg-618	139	26	6	6	NUM
fuelectenerg-618	139	27	]	]	PUNCT
fuelectenerg-618	139	28	.	.	PUNCT
fuelectenerg-618	140	1	3	3	NUM
fuelectenerg-618	140	2	boolean	boolean	ADJ
fuelectenerg-618	140	3	differential	differential	ADJ
fuelectenerg-618	140	4	equations	equation	NOUN
fuelectenerg-618	140	5	3.1	3.1	NUM
fuelectenerg-618	140	6	an	an	DET
fuelectenerg-618	140	7	introductory	introductory	ADJ
fuelectenerg-618	140	8	example	example	NOUN
fuelectenerg-618	140	9	if	if	SCONJ
fuelectenerg-618	140	10	we	we	PRON
fuelectenerg-618	140	11	know	know	VERB
fuelectenerg-618	140	12	the	the	DET
fuelectenerg-618	140	13	function	function	NOUN
fuelectenerg-618	140	14	f	f	PROPN
fuelectenerg-618	140	15	(	(	PUNCT
fuelectenerg-618	140	16	x	x	NOUN
fuelectenerg-618	140	17	)	)	PUNCT
fuelectenerg-618	140	18	and	and	CCONJ
fuelectenerg-618	140	19	need	need	VERB
fuelectenerg-618	140	20	the	the	DET
fuelectenerg-618	140	21	result	result	NOUN
fuelectenerg-618	140	22	of	of	ADP
fuelectenerg-618	140	23	any	any	DET
fuelectenerg-618	140	24	derivative	derivative	ADJ
fuelectenerg-618	140	25	operation	operation	NOUN
fuelectenerg-618	140	26	then	then	ADV
fuelectenerg-618	140	27	we	we	PRON
fuelectenerg-618	140	28	simply	simply	ADV
fuelectenerg-618	140	29	apply	apply	VERB
fuelectenerg-618	140	30	the	the	DET
fuelectenerg-618	140	31	definition	definition	NOUN
fuelectenerg-618	140	32	and	and	CCONJ
fuelectenerg-618	140	33	get	get	VERB
fuelectenerg-618	140	34	as	as	ADP
fuelectenerg-618	140	35	result	result	NOUN
fuelectenerg-618	140	36	an	an	DET
fuelectenerg-618	140	37	uniquely	uniquely	ADV
fuelectenerg-618	140	38	specified	specify	VERB
fuelectenerg-618	140	39	boolean	boolean	ADJ
fuelectenerg-618	140	40	function	function	NOUN
fuelectenerg-618	140	41	.	.	PUNCT
fuelectenerg-618	141	1	example	example	NOUN
fuelectenerg-618	142	1	1	1	NUM
fuelectenerg-618	142	2	.	.	X
fuelectenerg-618	142	3	we	we	PRON
fuelectenerg-618	142	4	take	take	VERB
fuelectenerg-618	142	5	the	the	DET
fuelectenerg-618	142	6	boolean	boolean	ADJ
fuelectenerg-618	142	7	function	function	NOUN
fuelectenerg-618	142	8	:	:	PUNCT
fuelectenerg-618	143	1	f	f	PROPN
fuelectenerg-618	143	2	(	(	PUNCT
fuelectenerg-618	143	3	x	x	X
fuelectenerg-618	143	4	)	)	PUNCT
fuelectenerg-618	143	5	=	=	SYM
fuelectenerg-618	143	6	f	f	PROPN
fuelectenerg-618	143	7	(	(	PUNCT
fuelectenerg-618	143	8	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	143	9	)	)	PUNCT
fuelectenerg-618	143	10	=	=	PUNCT
fuelectenerg-618	144	1	x1	x1	PROPN
fuelectenerg-618	144	2	∨	∨	NUM
fuelectenerg-618	144	3	x2	x2	NOUN
fuelectenerg-618	144	4	x3	x3	PROPN
fuelectenerg-618	144	5	(	(	PUNCT
fuelectenerg-618	144	6	11	11	NUM
fuelectenerg-618	144	7	)	)	PUNCT
fuelectenerg-618	144	8	and	and	CCONJ
fuelectenerg-618	144	9	use	use	VERB
fuelectenerg-618	144	10	definition	definition	NOUN
fuelectenerg-618	144	11	(	(	PUNCT
fuelectenerg-618	144	12	4	4	NUM
fuelectenerg-618	144	13	)	)	PUNCT
fuelectenerg-618	144	14	to	to	PART
fuelectenerg-618	144	15	calculate	calculate	VERB
fuelectenerg-618	144	16	the	the	DET
fuelectenerg-618	144	17	vectorial	vectorial	ADJ
fuelectenerg-618	144	18	derivative	derivative	NOUN
fuelectenerg-618	144	19	of	of	ADP
fuelectenerg-618	144	20	f	f	PROPN
fuelectenerg-618	144	21	(	(	PUNCT
fuelectenerg-618	144	22	x	x	X
fuelectenerg-618	144	23	)	)	PUNCT
fuelectenerg-618	144	24	with	with	ADP
fuelectenerg-618	144	25	regard	regard	NOUN
fuelectenerg-618	144	26	to	to	ADP
fuelectenerg-618	144	27	(	(	PUNCT
fuelectenerg-618	144	28	x1,x3	x1,x3	PROPN
fuelectenerg-618	144	29	):	):	PUNCT
fuelectenerg-618	144	30	∂	∂	NUM
fuelectenerg-618	144	31	f	f	X
fuelectenerg-618	144	32	(	(	PUNCT
fuelectenerg-618	144	33	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	144	34	)	)	PUNCT
fuelectenerg-618	144	35	∂	∂	PROPN
fuelectenerg-618	144	36	(	(	PUNCT
fuelectenerg-618	144	37	x1,x3	x1,x3	PROPN
fuelectenerg-618	144	38	)	)	PUNCT
fuelectenerg-618	145	1	=	=	SYM
fuelectenerg-618	145	2	f	f	X
fuelectenerg-618	145	3	(	(	PUNCT
fuelectenerg-618	145	4	x1,x2,x3)⊕	x1,x2,x3)⊕	PROPN
fuelectenerg-618	145	5	f	f	PROPN
fuelectenerg-618	145	6	(	(	PUNCT
fuelectenerg-618	145	7	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	145	8	)	)	PUNCT
fuelectenerg-618	145	9	=	=	PUNCT
fuelectenerg-618	145	10	(	(	PUNCT
fuelectenerg-618	145	11	x1	x1	PROPN
fuelectenerg-618	145	12	∨	∨	NUM
fuelectenerg-618	145	13	x2	x2	PROPN
fuelectenerg-618	145	14	x3)⊕	x3)⊕	PROPN
fuelectenerg-618	145	15	(	(	PUNCT
fuelectenerg-618	145	16	x1	x1	PROPN
fuelectenerg-618	145	17	∨	∨	NUM
fuelectenerg-618	145	18	x2	x2	NOUN
fuelectenerg-618	145	19	x3	x3	ADJ
fuelectenerg-618	145	20	)	)	PUNCT
fuelectenerg-618	146	1	=	=	SYM
fuelectenerg-618	147	1	x1	x1	PROPN
fuelectenerg-618	147	2	⊕	⊕	PROPN
fuelectenerg-618	147	3	x2	x2	PROPN
fuelectenerg-618	148	1	x3	x3	PROPN
fuelectenerg-618	148	2	⊕	⊕	PROPN
fuelectenerg-618	148	3	x1	x1	PROPN
fuelectenerg-618	149	1	x2	x2	PROPN
fuelectenerg-618	149	2	x3	x3	PROPN
fuelectenerg-618	149	3	⊕	⊕	PROPN
fuelectenerg-618	149	4	x1	x1	PROPN
fuelectenerg-618	150	1	⊕	⊕	PROPN
fuelectenerg-618	150	2	x2	x2	PROPN
fuelectenerg-618	151	1	x3	x3	PROPN
fuelectenerg-618	151	2	⊕	⊕	PROPN
fuelectenerg-618	151	3	x1	x1	PROPN
fuelectenerg-618	152	1	x2	x2	PROPN
fuelectenerg-618	152	2	x3	x3	PROPN
fuelectenerg-618	152	3	=	=	SYM
fuelectenerg-618	153	1	(	(	PUNCT
fuelectenerg-618	153	2	x1	x1	PROPN
fuelectenerg-618	153	3	⊕	⊕	PROPN
fuelectenerg-618	153	4	x1)⊕	x1)⊕	PUNCT
fuelectenerg-618	154	1	x2	x2	INTJ
fuelectenerg-618	154	2	(	(	PUNCT
fuelectenerg-618	154	3	x3	x3	PROPN
fuelectenerg-618	154	4	⊕	⊕	PROPN
fuelectenerg-618	154	5	x3)⊕	x3)⊕	PUNCT
fuelectenerg-618	155	1	x2	x2	PROPN
fuelectenerg-618	155	2	(	(	PUNCT
fuelectenerg-618	155	3	x1	x1	PROPN
fuelectenerg-618	155	4	x3	x3	PROPN
fuelectenerg-618	155	5	⊕	⊕	PROPN
fuelectenerg-618	155	6	x1	x1	PROPN
fuelectenerg-618	155	7	x3	x3	ADJ
fuelectenerg-618	155	8	)	)	PUNCT
fuelectenerg-618	156	1	=	=	SYM
fuelectenerg-618	156	2	x2	x2	PROPN
fuelectenerg-618	156	3	⊕	⊕	PROPN
fuelectenerg-618	156	4	x2	x2	PROPN
fuelectenerg-618	156	5	(	(	PUNCT
fuelectenerg-618	156	6	x1	x1	PROPN
fuelectenerg-618	156	7	⊕	⊕	PROPN
fuelectenerg-618	156	8	x3	x3	ADJ
fuelectenerg-618	156	9	)	)	PUNCT
fuelectenerg-618	157	1	=	=	SYM
fuelectenerg-618	157	2	x2	x2	PROPN
fuelectenerg-618	157	3	∨	∨	NOUN
fuelectenerg-618	157	4	(	(	PUNCT
fuelectenerg-618	157	5	x1	x1	PROPN
fuelectenerg-618	157	6	⊕	⊕	PROPN
fuelectenerg-618	157	7	x3	x3	ADJ
fuelectenerg-618	157	8	)	)	PUNCT
fuelectenerg-618	157	9	,	,	PUNCT
fuelectenerg-618	157	10	and	and	CCONJ
fuelectenerg-618	157	11	get	get	VERB
fuelectenerg-618	157	12	as	as	SCONJ
fuelectenerg-618	157	13	result	result	NOUN
fuelectenerg-618	157	14	the	the	DET
fuelectenerg-618	157	15	unique	unique	ADJ
fuelectenerg-618	157	16	boolean	boolean	ADJ
fuelectenerg-618	157	17	function	function	NOUN
fuelectenerg-618	157	18	:	:	PUNCT
fuelectenerg-618	157	19	g(x1,x2,x3	g(x1,x2,x3	X
fuelectenerg-618	157	20	)	)	PUNCT
fuelectenerg-618	157	21	=	=	SYM
fuelectenerg-618	157	22	x2	x2	PROPN
fuelectenerg-618	157	23	∨	∨	NOUN
fuelectenerg-618	157	24	(	(	PUNCT
fuelectenerg-618	157	25	x1	x1	PROPN
fuelectenerg-618	157	26	⊕	⊕	PROPN
fuelectenerg-618	157	27	x3	x3	ADJ
fuelectenerg-618	157	28	)	)	PUNCT
fuelectenerg-618	157	29	.	.	PUNCT
fuelectenerg-618	158	1	(	(	PUNCT
fuelectenerg-618	158	2	12	12	NUM
fuelectenerg-618	158	3	)	)	PUNCT
fuelectenerg-618	158	4	arrows	arrow	NOUN
fuelectenerg-618	158	5	in	in	ADP
fuelectenerg-618	158	6	figure	figure	NOUN
fuelectenerg-618	158	7	1	1	NUM
fuelectenerg-618	158	8	illustrate	illustrate	VERB
fuelectenerg-618	158	9	the	the	DET
fuelectenerg-618	158	10	pairs	pair	NOUN
fuelectenerg-618	158	11	of	of	ADP
fuelectenerg-618	158	12	function	function	NOUN
fuelectenerg-618	158	13	values	value	NOUN
fuelectenerg-618	158	14	which	which	PRON
fuelectenerg-618	158	15	determine	determine	VERB
fuelectenerg-618	158	16	the	the	DET
fuelectenerg-618	158	17	result	result	NOUN
fuelectenerg-618	158	18	of	of	ADP
fuelectenerg-618	158	19	this	this	DET
fuelectenerg-618	158	20	vectorial	vectorial	ADJ
fuelectenerg-618	158	21	derivative	derivative	NOUN
fuelectenerg-618	158	22	.	.	PUNCT
fuelectenerg-618	159	1	different	different	ADJ
fuelectenerg-618	159	2	function	function	NOUN
fuelectenerg-618	159	3	values	value	NOUN
fuelectenerg-618	159	4	in	in	ADP
fuelectenerg-618	159	5	these	these	DET
fuelectenerg-618	159	6	pairs	pair	NOUN
fuelectenerg-618	159	7	lead	lead	VERB
fuelectenerg-618	159	8	to	to	PART
fuelectenerg-618	159	9	function	function	VERB
fuelectenerg-618	159	10	values	value	NOUN
fuelectenerg-618	159	11	1	1	NUM
fuelectenerg-618	159	12	in	in	ADP
fuelectenerg-618	159	13	the	the	DET
fuelectenerg-618	159	14	calculated	calculated	ADJ
fuelectenerg-618	159	15	vectorial	vectorial	ADJ
fuelectenerg-618	159	16	derivative	derivative	NOUN
fuelectenerg-618	159	17	.	.	PUNCT
fuelectenerg-618	160	1	54	54	NUM
fuelectenerg-618	160	2	b.	b.	PROPN
fuelectenerg-618	160	3	steinbach	steinbach	PROPN
fuelectenerg-618	160	4	,	,	PUNCT
fuelectenerg-618	160	5	c.	c.	PROPN
fuelectenerg-618	160	6	posthoff	posthoff	PROPN
fuelectenerg-618	160	7	boolean	boolean	ADJ
fuelectenerg-618	160	8	differential	differential	ADJ
fuelectenerg-618	160	9	equations	equation	NOUN
fuelectenerg-618	160	10	–	–	PUNCT
fuelectenerg-618	160	11	a	a	DET
fuelectenerg-618	160	12	common	common	ADJ
fuelectenerg-618	160	13	model	model	NOUN
fuelectenerg-618	160	14	for	for	ADP
fuelectenerg-618	160	15	classes	class	NOUN
fuelectenerg-618	160	16	,	,	PUNCT
fuelectenerg-618	160	17	lattices	lattice	NOUN
fuelectenerg-618	160	18	...	...	PUNCT
fuelectenerg-618	160	19	55	55	NUM
fuelectenerg-618	160	20	104	104	NUM
fuelectenerg-618	160	21	b.	b.	PROPN
fuelectenerg-618	160	22	steinbach	steinbach	PROPN
fuelectenerg-618	160	23	and	and	CCONJ
fuelectenerg-618	160	24	c.	c.	PROPN
fuelectenerg-618	160	25	posthoff	posthoff	PROPN
fuelectenerg-618	160	26	∂	∂	NOUN
fuelectenerg-618	160	27	m	m	VERB
fuelectenerg-618	160	28	f	f	X
fuelectenerg-618	160	29	(	(	PUNCT
fuelectenerg-618	160	30	x0,x1	x0,x1	PROPN
fuelectenerg-618	160	31	)	)	PUNCT
fuelectenerg-618	160	32	∂x1∂x2	∂x1∂x2	NOUN
fuelectenerg-618	160	33	.	.	PUNCT
fuelectenerg-618	160	34	.	.	PUNCT
fuelectenerg-618	161	1	.∂xm	.∂xm	NOUN
fuelectenerg-618	162	1	=	=	SYM
fuelectenerg-618	162	2	∂	∂	NUM
fuelectenerg-618	162	3	∂xm	∂xm	NOUN
fuelectenerg-618	162	4	(	(	PUNCT
fuelectenerg-618	162	5	.	.	PUNCT
fuelectenerg-618	162	6	.	.	PUNCT
fuelectenerg-618	162	7	.	.	PUNCT
fuelectenerg-618	163	1	(	(	PUNCT
fuelectenerg-618	163	2	∂	∂	NUM
fuelectenerg-618	163	3	∂x2	∂x2	NOUN
fuelectenerg-618	163	4	(	(	PUNCT
fuelectenerg-618	163	5	∂	∂	NUM
fuelectenerg-618	163	6	f	f	X
fuelectenerg-618	163	7	(	(	PUNCT
fuelectenerg-618	163	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	163	9	)	)	PUNCT
fuelectenerg-618	163	10	∂x1	∂x1	NOUN
fuelectenerg-618	163	11	)	)	PUNCT
fuelectenerg-618	163	12	)	)	PUNCT
fuelectenerg-618	163	13	.	.	PUNCT
fuelectenerg-618	163	14	.	.	PUNCT
fuelectenerg-618	163	15	.	.	PUNCT
fuelectenerg-618	163	16	)	)	PUNCT
fuelectenerg-618	164	1	,	,	PUNCT
fuelectenerg-618	164	2	(	(	PUNCT
fuelectenerg-618	164	3	7	7	X
fuelectenerg-618	164	4	)	)	PUNCT
fuelectenerg-618	164	5	min	min	NOUN
fuelectenerg-618	165	1	x0	x0	PROPN
fuelectenerg-618	165	2	m	m	VERB
fuelectenerg-618	165	3	f	f	X
fuelectenerg-618	165	4	(	(	PUNCT
fuelectenerg-618	165	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	165	6	)	)	PUNCT
fuelectenerg-618	166	1	=	=	SYM
fuelectenerg-618	166	2	min	min	NOUN
fuelectenerg-618	166	3	xm	xm	PROPN
fuelectenerg-618	166	4	(	(	PUNCT
fuelectenerg-618	166	5	.	.	PUNCT
fuelectenerg-618	166	6	.	.	PUNCT
fuelectenerg-618	166	7	.	.	PUNCT
fuelectenerg-618	167	1	(	(	PUNCT
fuelectenerg-618	167	2	min	min	NOUN
fuelectenerg-618	167	3	x2	x2	INTJ
fuelectenerg-618	167	4	(	(	PUNCT
fuelectenerg-618	167	5	min	min	PROPN
fuelectenerg-618	167	6	x1	x1	PROPN
fuelectenerg-618	167	7	f	f	X
fuelectenerg-618	167	8	(	(	PUNCT
fuelectenerg-618	167	9	x0,x1	x0,x1	PROPN
fuelectenerg-618	167	10	)	)	PUNCT
fuelectenerg-618	167	11	)	)	PUNCT
fuelectenerg-618	167	12	)	)	PUNCT
fuelectenerg-618	167	13	.	.	PUNCT
fuelectenerg-618	167	14	.	.	PUNCT
fuelectenerg-618	167	15	.	.	PUNCT
fuelectenerg-618	167	16	)	)	PUNCT
fuelectenerg-618	168	1	,	,	PUNCT
fuelectenerg-618	168	2	(	(	PUNCT
fuelectenerg-618	168	3	8)	8)	NUM
fuelectenerg-618	168	4	max	max	NOUN
fuelectenerg-618	169	1	x0	x0	PROPN
fuelectenerg-618	169	2	m	m	PROPN
fuelectenerg-618	169	3	f	f	X
fuelectenerg-618	169	4	(	(	PUNCT
fuelectenerg-618	169	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	169	6	)	)	PUNCT
fuelectenerg-618	169	7	=	=	SYM
fuelectenerg-618	169	8	max	max	PROPN
fuelectenerg-618	169	9	xm	xm	PROPN
fuelectenerg-618	169	10	(	(	PUNCT
fuelectenerg-618	169	11	.	.	PUNCT
fuelectenerg-618	169	12	.	.	PUNCT
fuelectenerg-618	169	13	.	.	PUNCT
fuelectenerg-618	170	1	(	(	PUNCT
fuelectenerg-618	170	2	max	max	PROPN
fuelectenerg-618	170	3	x2	x2	PROPN
fuelectenerg-618	170	4	(	(	PUNCT
fuelectenerg-618	170	5	max	max	PROPN
fuelectenerg-618	170	6	x1	x1	PROPN
fuelectenerg-618	170	7	f	f	PROPN
fuelectenerg-618	170	8	(	(	PUNCT
fuelectenerg-618	170	9	x0,x1	x0,x1	PROPN
fuelectenerg-618	170	10	)	)	PUNCT
fuelectenerg-618	170	11	)	)	PUNCT
fuelectenerg-618	170	12	)	)	PUNCT
fuelectenerg-618	170	13	.	.	PUNCT
fuelectenerg-618	170	14	.	.	PUNCT
fuelectenerg-618	170	15	.	.	PUNCT
fuelectenerg-618	170	16	)	)	PUNCT
fuelectenerg-618	171	1	,	,	PUNCT
fuelectenerg-618	171	2	(	(	PUNCT
fuelectenerg-618	171	3	9	9	X
fuelectenerg-618	171	4	)	)	PUNCT
fuelectenerg-618	171	5	∆x0	∆x0	PROPN
fuelectenerg-618	171	6	f	f	X
fuelectenerg-618	171	7	(	(	PUNCT
fuelectenerg-618	171	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	171	9	)	)	PUNCT
fuelectenerg-618	171	10	=	=	SYM
fuelectenerg-618	171	11	min	min	NOUN
fuelectenerg-618	172	1	x0	x0	PROPN
fuelectenerg-618	172	2	m	m	VERB
fuelectenerg-618	172	3	f	f	X
fuelectenerg-618	172	4	(	(	PUNCT
fuelectenerg-618	172	5	x0,x1)⊕max	x0,x1)⊕max	PROPN
fuelectenerg-618	173	1	x0	x0	PROPN
fuelectenerg-618	173	2	m	m	VERB
fuelectenerg-618	173	3	f	f	X
fuelectenerg-618	173	4	(	(	PUNCT
fuelectenerg-618	173	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	173	6	)	)	PUNCT
fuelectenerg-618	173	7	.	.	PUNCT
fuelectenerg-618	174	1	(	(	PUNCT
fuelectenerg-618	174	2	10	10	NUM
fuelectenerg-618	174	3	)	)	PUNCT
fuelectenerg-618	174	4	because	because	SCONJ
fuelectenerg-618	174	5	of	of	ADP
fuelectenerg-618	174	6	the	the	DET
fuelectenerg-618	174	7	limited	limited	ADJ
fuelectenerg-618	174	8	space	space	NOUN
fuelectenerg-618	174	9	,	,	PUNCT
fuelectenerg-618	174	10	we	we	PRON
fuelectenerg-618	174	11	skip	skip	VERB
fuelectenerg-618	174	12	all	all	DET
fuelectenerg-618	174	13	theorems	theorem	NOUN
fuelectenerg-618	174	14	about	about	ADP
fuelectenerg-618	174	15	relations	relation	NOUN
fuelectenerg-618	174	16	between	between	ADP
fuelectenerg-618	174	17	certain	certain	ADJ
fuelectenerg-618	174	18	derivative	derivative	ADJ
fuelectenerg-618	174	19	operations	operation	NOUN
fuelectenerg-618	174	20	and	and	CCONJ
fuelectenerg-618	174	21	refer	refer	VERB
fuelectenerg-618	174	22	to	to	ADP
fuelectenerg-618	174	23	[	[	X
fuelectenerg-618	174	24	3	3	NUM
fuelectenerg-618	174	25	,	,	PUNCT
fuelectenerg-618	174	26	6	6	NUM
fuelectenerg-618	174	27	]	]	PUNCT
fuelectenerg-618	174	28	.	.	PUNCT
fuelectenerg-618	175	1	3	3	NUM
fuelectenerg-618	175	2	boolean	boolean	ADJ
fuelectenerg-618	175	3	differential	differential	ADJ
fuelectenerg-618	175	4	equations	equation	NOUN
fuelectenerg-618	175	5	3.1	3.1	NUM
fuelectenerg-618	175	6	an	an	DET
fuelectenerg-618	175	7	introductory	introductory	ADJ
fuelectenerg-618	175	8	example	example	NOUN
fuelectenerg-618	175	9	if	if	SCONJ
fuelectenerg-618	175	10	we	we	PRON
fuelectenerg-618	175	11	know	know	VERB
fuelectenerg-618	175	12	the	the	DET
fuelectenerg-618	175	13	function	function	NOUN
fuelectenerg-618	175	14	f	f	PROPN
fuelectenerg-618	175	15	(	(	PUNCT
fuelectenerg-618	175	16	x	x	NOUN
fuelectenerg-618	175	17	)	)	PUNCT
fuelectenerg-618	175	18	and	and	CCONJ
fuelectenerg-618	175	19	need	need	VERB
fuelectenerg-618	175	20	the	the	DET
fuelectenerg-618	175	21	result	result	NOUN
fuelectenerg-618	175	22	of	of	ADP
fuelectenerg-618	175	23	any	any	DET
fuelectenerg-618	175	24	derivative	derivative	ADJ
fuelectenerg-618	175	25	operation	operation	NOUN
fuelectenerg-618	175	26	then	then	ADV
fuelectenerg-618	175	27	we	we	PRON
fuelectenerg-618	175	28	simply	simply	ADV
fuelectenerg-618	175	29	apply	apply	VERB
fuelectenerg-618	175	30	the	the	DET
fuelectenerg-618	175	31	definition	definition	NOUN
fuelectenerg-618	175	32	and	and	CCONJ
fuelectenerg-618	175	33	get	get	VERB
fuelectenerg-618	175	34	as	as	ADP
fuelectenerg-618	175	35	result	result	NOUN
fuelectenerg-618	175	36	an	an	DET
fuelectenerg-618	175	37	uniquely	uniquely	ADV
fuelectenerg-618	175	38	specified	specify	VERB
fuelectenerg-618	175	39	boolean	boolean	ADJ
fuelectenerg-618	175	40	function	function	NOUN
fuelectenerg-618	175	41	.	.	PUNCT
fuelectenerg-618	176	1	example	example	NOUN
fuelectenerg-618	177	1	1	1	NUM
fuelectenerg-618	177	2	.	.	X
fuelectenerg-618	177	3	we	we	PRON
fuelectenerg-618	177	4	take	take	VERB
fuelectenerg-618	177	5	the	the	DET
fuelectenerg-618	177	6	boolean	boolean	ADJ
fuelectenerg-618	177	7	function	function	NOUN
fuelectenerg-618	177	8	:	:	PUNCT
fuelectenerg-618	178	1	f	f	PROPN
fuelectenerg-618	178	2	(	(	PUNCT
fuelectenerg-618	178	3	x	x	X
fuelectenerg-618	178	4	)	)	PUNCT
fuelectenerg-618	178	5	=	=	SYM
fuelectenerg-618	178	6	f	f	PROPN
fuelectenerg-618	178	7	(	(	PUNCT
fuelectenerg-618	178	8	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	178	9	)	)	PUNCT
fuelectenerg-618	178	10	=	=	PUNCT
fuelectenerg-618	179	1	x1	x1	PROPN
fuelectenerg-618	179	2	∨	∨	NUM
fuelectenerg-618	179	3	x2	x2	NOUN
fuelectenerg-618	179	4	x3	x3	PROPN
fuelectenerg-618	179	5	(	(	PUNCT
fuelectenerg-618	179	6	11	11	NUM
fuelectenerg-618	179	7	)	)	PUNCT
fuelectenerg-618	179	8	and	and	CCONJ
fuelectenerg-618	179	9	use	use	VERB
fuelectenerg-618	179	10	definition	definition	NOUN
fuelectenerg-618	179	11	(	(	PUNCT
fuelectenerg-618	179	12	4	4	NUM
fuelectenerg-618	179	13	)	)	PUNCT
fuelectenerg-618	179	14	to	to	PART
fuelectenerg-618	179	15	calculate	calculate	VERB
fuelectenerg-618	179	16	the	the	DET
fuelectenerg-618	179	17	vectorial	vectorial	ADJ
fuelectenerg-618	179	18	derivative	derivative	NOUN
fuelectenerg-618	179	19	of	of	ADP
fuelectenerg-618	179	20	f	f	PROPN
fuelectenerg-618	179	21	(	(	PUNCT
fuelectenerg-618	179	22	x	x	X
fuelectenerg-618	179	23	)	)	PUNCT
fuelectenerg-618	179	24	with	with	ADP
fuelectenerg-618	179	25	regard	regard	NOUN
fuelectenerg-618	179	26	to	to	ADP
fuelectenerg-618	179	27	(	(	PUNCT
fuelectenerg-618	179	28	x1,x3	x1,x3	PROPN
fuelectenerg-618	179	29	):	):	PUNCT
fuelectenerg-618	179	30	∂	∂	NUM
fuelectenerg-618	179	31	f	f	X
fuelectenerg-618	179	32	(	(	PUNCT
fuelectenerg-618	179	33	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	179	34	)	)	PUNCT
fuelectenerg-618	179	35	∂	∂	PROPN
fuelectenerg-618	179	36	(	(	PUNCT
fuelectenerg-618	179	37	x1,x3	x1,x3	PROPN
fuelectenerg-618	179	38	)	)	PUNCT
fuelectenerg-618	180	1	=	=	SYM
fuelectenerg-618	180	2	f	f	X
fuelectenerg-618	180	3	(	(	PUNCT
fuelectenerg-618	180	4	x1,x2,x3)⊕	x1,x2,x3)⊕	PROPN
fuelectenerg-618	180	5	f	f	PROPN
fuelectenerg-618	180	6	(	(	PUNCT
fuelectenerg-618	180	7	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	180	8	)	)	PUNCT
fuelectenerg-618	180	9	=	=	PUNCT
fuelectenerg-618	180	10	(	(	PUNCT
fuelectenerg-618	180	11	x1	x1	PROPN
fuelectenerg-618	180	12	∨	∨	NUM
fuelectenerg-618	180	13	x2	x2	PROPN
fuelectenerg-618	180	14	x3)⊕	x3)⊕	PROPN
fuelectenerg-618	180	15	(	(	PUNCT
fuelectenerg-618	180	16	x1	x1	PROPN
fuelectenerg-618	180	17	∨	∨	NUM
fuelectenerg-618	180	18	x2	x2	NOUN
fuelectenerg-618	180	19	x3	x3	ADJ
fuelectenerg-618	180	20	)	)	PUNCT
fuelectenerg-618	181	1	=	=	SYM
fuelectenerg-618	182	1	x1	x1	PROPN
fuelectenerg-618	182	2	⊕	⊕	PROPN
fuelectenerg-618	182	3	x2	x2	PROPN
fuelectenerg-618	183	1	x3	x3	PROPN
fuelectenerg-618	183	2	⊕	⊕	PROPN
fuelectenerg-618	183	3	x1	x1	PROPN
fuelectenerg-618	184	1	x2	x2	PROPN
fuelectenerg-618	184	2	x3	x3	PROPN
fuelectenerg-618	184	3	⊕	⊕	PROPN
fuelectenerg-618	184	4	x1	x1	PROPN
fuelectenerg-618	185	1	⊕	⊕	PROPN
fuelectenerg-618	185	2	x2	x2	PROPN
fuelectenerg-618	186	1	x3	x3	PROPN
fuelectenerg-618	186	2	⊕	⊕	PROPN
fuelectenerg-618	186	3	x1	x1	PROPN
fuelectenerg-618	187	1	x2	x2	PROPN
fuelectenerg-618	187	2	x3	x3	PROPN
fuelectenerg-618	187	3	=	=	SYM
fuelectenerg-618	188	1	(	(	PUNCT
fuelectenerg-618	188	2	x1	x1	PROPN
fuelectenerg-618	188	3	⊕	⊕	PROPN
fuelectenerg-618	188	4	x1)⊕	x1)⊕	PUNCT
fuelectenerg-618	189	1	x2	x2	INTJ
fuelectenerg-618	189	2	(	(	PUNCT
fuelectenerg-618	189	3	x3	x3	PROPN
fuelectenerg-618	189	4	⊕	⊕	PROPN
fuelectenerg-618	189	5	x3)⊕	x3)⊕	PUNCT
fuelectenerg-618	190	1	x2	x2	PROPN
fuelectenerg-618	190	2	(	(	PUNCT
fuelectenerg-618	190	3	x1	x1	PROPN
fuelectenerg-618	190	4	x3	x3	PROPN
fuelectenerg-618	190	5	⊕	⊕	PROPN
fuelectenerg-618	190	6	x1	x1	PROPN
fuelectenerg-618	190	7	x3	x3	ADJ
fuelectenerg-618	190	8	)	)	PUNCT
fuelectenerg-618	191	1	=	=	SYM
fuelectenerg-618	191	2	x2	x2	PROPN
fuelectenerg-618	191	3	⊕	⊕	PROPN
fuelectenerg-618	191	4	x2	x2	PROPN
fuelectenerg-618	191	5	(	(	PUNCT
fuelectenerg-618	191	6	x1	x1	PROPN
fuelectenerg-618	191	7	⊕	⊕	PROPN
fuelectenerg-618	191	8	x3	x3	ADJ
fuelectenerg-618	191	9	)	)	PUNCT
fuelectenerg-618	192	1	=	=	SYM
fuelectenerg-618	192	2	x2	x2	PROPN
fuelectenerg-618	192	3	∨	∨	NOUN
fuelectenerg-618	192	4	(	(	PUNCT
fuelectenerg-618	192	5	x1	x1	PROPN
fuelectenerg-618	192	6	⊕	⊕	PROPN
fuelectenerg-618	192	7	x3	x3	ADJ
fuelectenerg-618	192	8	)	)	PUNCT
fuelectenerg-618	192	9	,	,	PUNCT
fuelectenerg-618	192	10	and	and	CCONJ
fuelectenerg-618	192	11	get	get	VERB
fuelectenerg-618	192	12	as	as	SCONJ
fuelectenerg-618	192	13	result	result	NOUN
fuelectenerg-618	192	14	the	the	DET
fuelectenerg-618	192	15	unique	unique	ADJ
fuelectenerg-618	192	16	boolean	boolean	ADJ
fuelectenerg-618	192	17	function	function	NOUN
fuelectenerg-618	192	18	:	:	PUNCT
fuelectenerg-618	192	19	g(x1,x2,x3	g(x1,x2,x3	X
fuelectenerg-618	192	20	)	)	PUNCT
fuelectenerg-618	192	21	=	=	SYM
fuelectenerg-618	192	22	x2	x2	PROPN
fuelectenerg-618	192	23	∨	∨	NOUN
fuelectenerg-618	192	24	(	(	PUNCT
fuelectenerg-618	192	25	x1	x1	PROPN
fuelectenerg-618	192	26	⊕	⊕	PROPN
fuelectenerg-618	192	27	x3	x3	ADJ
fuelectenerg-618	192	28	)	)	PUNCT
fuelectenerg-618	192	29	.	.	PUNCT
fuelectenerg-618	193	1	(	(	PUNCT
fuelectenerg-618	193	2	12	12	NUM
fuelectenerg-618	193	3	)	)	PUNCT
fuelectenerg-618	193	4	arrows	arrow	NOUN
fuelectenerg-618	193	5	in	in	ADP
fuelectenerg-618	193	6	figure	figure	NOUN
fuelectenerg-618	193	7	1	1	NUM
fuelectenerg-618	193	8	illustrate	illustrate	VERB
fuelectenerg-618	193	9	the	the	DET
fuelectenerg-618	193	10	pairs	pair	NOUN
fuelectenerg-618	193	11	of	of	ADP
fuelectenerg-618	193	12	function	function	NOUN
fuelectenerg-618	193	13	values	value	NOUN
fuelectenerg-618	193	14	which	which	PRON
fuelectenerg-618	193	15	determine	determine	VERB
fuelectenerg-618	193	16	the	the	DET
fuelectenerg-618	193	17	result	result	NOUN
fuelectenerg-618	193	18	of	of	ADP
fuelectenerg-618	193	19	this	this	DET
fuelectenerg-618	193	20	vectorial	vectorial	ADJ
fuelectenerg-618	193	21	derivative	derivative	NOUN
fuelectenerg-618	193	22	.	.	PUNCT
fuelectenerg-618	194	1	different	different	ADJ
fuelectenerg-618	194	2	function	function	NOUN
fuelectenerg-618	194	3	values	value	NOUN
fuelectenerg-618	194	4	in	in	ADP
fuelectenerg-618	194	5	these	these	DET
fuelectenerg-618	194	6	pairs	pair	NOUN
fuelectenerg-618	194	7	lead	lead	VERB
fuelectenerg-618	194	8	to	to	PART
fuelectenerg-618	194	9	function	function	VERB
fuelectenerg-618	194	10	values	value	NOUN
fuelectenerg-618	194	11	1	1	NUM
fuelectenerg-618	194	12	in	in	ADP
fuelectenerg-618	194	13	the	the	DET
fuelectenerg-618	194	14	calculated	calculated	ADJ
fuelectenerg-618	194	15	vectorial	vectorial	ADJ
fuelectenerg-618	194	16	derivative	derivative	NOUN
fuelectenerg-618	194	17	.	.	PUNCT
fuelectenerg-618	195	1	boolean	boolean	ADJ
fuelectenerg-618	195	2	differential	differential	ADJ
fuelectenerg-618	195	3	equations	equation	NOUN
fuelectenerg-618	195	4	a	a	DET
fuelectenerg-618	195	5	common	common	ADJ
fuelectenerg-618	195	6	model	model	NOUN
fuelectenerg-618	195	7	for	for	ADP
fuelectenerg-618	195	8	classes	class	NOUN
fuelectenerg-618	195	9	,	,	PUNCT
fuelectenerg-618	195	10	lattices	lattice	NOUN
fuelectenerg-618	195	11	,	,	PUNCT
fuelectenerg-618	195	12	...	...	PUNCT
fuelectenerg-618	196	1	105	105	NUM
fuelectenerg-618	196	2	x2x3	x2x3	SYM
fuelectenerg-618	196	3	f	f	X
fuelectenerg-618	196	4	(	(	PUNCT
fuelectenerg-618	196	5	x	x	X
fuelectenerg-618	196	6	)	)	PUNCT
fuelectenerg-618	196	7	0	0	NUM
fuelectenerg-618	196	8	0	0	NUM
fuelectenerg-618	196	9	0	0	NUM
fuelectenerg-618	196	10	1	1	NUM
fuelectenerg-618	196	11	0	0	NUM
fuelectenerg-618	196	12	1	1	NUM
fuelectenerg-618	196	13	0	0	NUM
fuelectenerg-618	196	14	1	1	NUM
fuelectenerg-618	196	15	1	1	NUM
fuelectenerg-618	196	16	1	1	NUM
fuelectenerg-618	196	17	1	1	NUM
fuelectenerg-618	196	18	1	1	NUM
fuelectenerg-618	196	19	1	1	NUM
fuelectenerg-618	196	20	0	0	NUM
fuelectenerg-618	196	21	0	0	NUM
fuelectenerg-618	196	22	1	1	NUM
fuelectenerg-618	196	23	0	0	NUM
fuelectenerg-618	196	24	1	1	NUM
fuelectenerg-618	196	25	x1	x1	NOUN
fuelectenerg-618	196	26	x2x3	x2x3	PUNCT
fuelectenerg-618	197	1	f	f	X
fuelectenerg-618	197	2	(	(	PUNCT
fuelectenerg-618	197	3	x	x	X
fuelectenerg-618	197	4	)	)	PUNCT
fuelectenerg-618	197	5	0	0	NUM
fuelectenerg-618	197	6	0	0	NUM
fuelectenerg-618	197	7	�	�	PROPN
fuelectenerg-618	197	8	�	�	PROPN
fuelectenerg-618	197	9	�	�	PROPN
fuelectenerg-618	197	10	�	�	PROPN
fuelectenerg-618	197	11	0	0	NUM
fuelectenerg-618	197	12	1	1	NUM
fuelectenerg-618	197	13	�	�	PROPN
fuelectenerg-618	197	14	�	�	PROPN
fuelectenerg-618	197	15	�	�	PROPN
fuelectenerg-618	197	16	�	�	PROPN
fuelectenerg-618	197	17	1	1	NUM
fuelectenerg-618	197	18	1	1	NUM
fuelectenerg-618	197	19	�	�	PROPN
fuelectenerg-618	197	20	�	�	PROPN
fuelectenerg-618	197	21	�	�	PROPN
fuelectenerg-618	197	22	�	�	PROPN
fuelectenerg-618	197	23	1	1	NUM
fuelectenerg-618	197	24	0	0	NUM
fuelectenerg-618	197	25	�	�	PROPN
fuelectenerg-618	197	26	�	�	PROPN
fuelectenerg-618	197	27	�	�	PROPN
fuelectenerg-618	197	28	�	�	PROPN
fuelectenerg-618	197	29	0	0	NUM
fuelectenerg-618	197	30	1	1	NUM
fuelectenerg-618	197	31	x1	x1	NUM
fuelectenerg-618	197	32	x2x3	x2x3	PUNCT
fuelectenerg-618	198	1	g(x	g(x	NOUN
fuelectenerg-618	198	2	)	)	PUNCT
fuelectenerg-618	198	3	0	0	NUM
fuelectenerg-618	199	1	0	0	NUM
fuelectenerg-618	199	2	1	1	NUM
fuelectenerg-618	199	3	1	1	NUM
fuelectenerg-618	199	4	0	0	NUM
fuelectenerg-618	199	5	1	1	NUM
fuelectenerg-618	199	6	1	1	NUM
fuelectenerg-618	199	7	1	1	NUM
fuelectenerg-618	199	8	1	1	NUM
fuelectenerg-618	199	9	1	1	NUM
fuelectenerg-618	199	10	0	0	NUM
fuelectenerg-618	199	11	1	1	NUM
fuelectenerg-618	199	12	1	1	NUM
fuelectenerg-618	199	13	0	0	NUM
fuelectenerg-618	199	14	1	1	NUM
fuelectenerg-618	199	15	0	0	NUM
fuelectenerg-618	199	16	0	0	NUM
fuelectenerg-618	199	17	1	1	NUM
fuelectenerg-618	199	18	x1	x1	PROPN
fuelectenerg-618	199	19	�	�	PROPN
fuelectenerg-618	199	20	�	�	PROPN
fuelectenerg-618	199	21	fig	fig	PROPN
fuelectenerg-618	199	22	.	.	PUNCT
fuelectenerg-618	200	1	1	1	X
fuelectenerg-618	200	2	.	.	NUM
fuelectenerg-618	200	3	related	relate	VERB
fuelectenerg-618	200	4	function	function	NOUN
fuelectenerg-618	200	5	values	value	NOUN
fuelectenerg-618	200	6	of	of	ADP
fuelectenerg-618	200	7	the	the	DET
fuelectenerg-618	200	8	vectorial	vectorial	ADJ
fuelectenerg-618	200	9	derivative	derivative	NOUN
fuelectenerg-618	200	10	of	of	ADP
fuelectenerg-618	200	11	example	example	NOUN
fuelectenerg-618	200	12	1	1	NUM
fuelectenerg-618	200	13	tab	tab	NOUN
fuelectenerg-618	200	14	.	.	PUNCT
fuelectenerg-618	201	1	1	1	X
fuelectenerg-618	201	2	.	.	X
fuelectenerg-618	201	3	pairs	pair	NOUN
fuelectenerg-618	201	4	of	of	ADP
fuelectenerg-618	201	5	functions	function	NOUN
fuelectenerg-618	201	6	values	value	NOUN
fuelectenerg-618	201	7	and	and	CCONJ
fuelectenerg-618	201	8	their	their	PRON
fuelectenerg-618	201	9	result	result	NOUN
fuelectenerg-618	201	10	of	of	ADP
fuelectenerg-618	201	11	:	:	PUNCT
fuelectenerg-618	201	12	∂	∂	NUM
fuelectenerg-618	201	13	f	f	X
fuelectenerg-618	201	14	(	(	PUNCT
fuelectenerg-618	201	15	x0,x1	x0,x1	PROPN
fuelectenerg-618	201	16	)	)	PUNCT
fuelectenerg-618	202	1	∂x0	∂x0	PROPN
fuelectenerg-618	202	2	=	=	PUNCT
fuelectenerg-618	202	3	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	202	4	)	)	PUNCT
fuelectenerg-618	202	5	f	f	NOUN
fuelectenerg-618	202	6	(	(	PUNCT
fuelectenerg-618	202	7	x0,x1	x0,x1	PROPN
fuelectenerg-618	202	8	=	=	SYM
fuelectenerg-618	202	9	const	const	PROPN
fuelectenerg-618	202	10	.	.	PUNCT
fuelectenerg-618	202	11	)	)	PUNCT
fuelectenerg-618	203	1	f	f	PROPN
fuelectenerg-618	203	2	(	(	PUNCT
fuelectenerg-618	203	3	x0,x1	x0,x1	PROPN
fuelectenerg-618	203	4	=	=	SYM
fuelectenerg-618	203	5	const	const	PROPN
fuelectenerg-618	203	6	.	.	PUNCT
fuelectenerg-618	203	7	)	)	PUNCT
fuelectenerg-618	204	1	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	204	2	=	=	SYM
fuelectenerg-618	204	3	const	const	PROPN
fuelectenerg-618	204	4	.	.	PUNCT
fuelectenerg-618	204	5	)	)	PUNCT
fuelectenerg-618	205	1	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	205	2	=	=	SYM
fuelectenerg-618	205	3	const	const	PROPN
fuelectenerg-618	205	4	.	.	PUNCT
fuelectenerg-618	205	5	)	)	PUNCT
fuelectenerg-618	206	1	0	0	NUM
fuelectenerg-618	206	2	0	0	NUM
fuelectenerg-618	206	3	0	0	NUM
fuelectenerg-618	206	4	0	0	NUM
fuelectenerg-618	206	5	1	1	NUM
fuelectenerg-618	206	6	1	1	NUM
fuelectenerg-618	206	7	0	0	NUM
fuelectenerg-618	206	8	0	0	NUM
fuelectenerg-618	206	9	0	0	NUM
fuelectenerg-618	206	10	1	1	NUM
fuelectenerg-618	206	11	1	1	NUM
fuelectenerg-618	206	12	1	1	NUM
fuelectenerg-618	206	13	1	1	NUM
fuelectenerg-618	206	14	0	0	NUM
fuelectenerg-618	206	15	1	1	NUM
fuelectenerg-618	206	16	1	1	NUM
fuelectenerg-618	206	17	now	now	ADV
fuelectenerg-618	206	18	we	we	PRON
fuelectenerg-618	206	19	consider	consider	VERB
fuelectenerg-618	206	20	the	the	DET
fuelectenerg-618	206	21	reverse	reverse	ADJ
fuelectenerg-618	206	22	situation	situation	NOUN
fuelectenerg-618	206	23	that	that	PRON
fuelectenerg-618	206	24	we	we	PRON
fuelectenerg-618	206	25	know	know	VERB
fuelectenerg-618	206	26	g(x	g(x	NOUN
fuelectenerg-618	206	27	)	)	PUNCT
fuelectenerg-618	206	28	and	and	CCONJ
fuelectenerg-618	206	29	want	want	VERB
fuelectenerg-618	206	30	to	to	PART
fuelectenerg-618	206	31	find	find	VERB
fuelectenerg-618	206	32	the	the	DET
fuelectenerg-618	206	33	function	function	NOUN
fuelectenerg-618	206	34	f	f	PROPN
fuelectenerg-618	206	35	(	(	PUNCT
fuelectenerg-618	206	36	x	x	X
fuelectenerg-618	206	37	)	)	PUNCT
fuelectenerg-618	206	38	such	such	ADJ
fuelectenerg-618	206	39	that	that	SCONJ
fuelectenerg-618	206	40	g(x	g(x	NOUN
fuelectenerg-618	206	41	)	)	PUNCT
fuelectenerg-618	206	42	is	be	AUX
fuelectenerg-618	206	43	the	the	DET
fuelectenerg-618	206	44	result	result	NOUN
fuelectenerg-618	206	45	of	of	ADP
fuelectenerg-618	206	46	a	a	DET
fuelectenerg-618	206	47	derivative	derivative	ADJ
fuelectenerg-618	206	48	operation	operation	NOUN
fuelectenerg-618	206	49	of	of	ADP
fuelectenerg-618	206	50	the	the	DET
fuelectenerg-618	206	51	unknown	unknown	ADJ
fuelectenerg-618	206	52	function	function	NOUN
fuelectenerg-618	206	53	f	f	PROPN
fuelectenerg-618	206	54	(	(	PUNCT
fuelectenerg-618	206	55	x	x	NOUN
fuelectenerg-618	206	56	)	)	PUNCT
fuelectenerg-618	206	57	.	.	PUNCT
fuelectenerg-618	207	1	from	from	ADP
fuelectenerg-618	207	2	figure	figure	NOUN
fuelectenerg-618	207	3	1	1	NUM
fuelectenerg-618	207	4	,	,	PUNCT
fuelectenerg-618	207	5	we	we	PRON
fuelectenerg-618	207	6	can	can	AUX
fuelectenerg-618	207	7	conclude	conclude	VERB
fuelectenerg-618	207	8	that	that	SCONJ
fuelectenerg-618	207	9	the	the	DET
fuelectenerg-618	207	10	vectorial	vectorial	ADJ
fuelectenerg-618	207	11	derivative	derivative	NOUN
fuelectenerg-618	207	12	of	of	ADP
fuelectenerg-618	207	13	several	several	ADJ
fuelectenerg-618	207	14	functions	function	NOUN
fuelectenerg-618	207	15	f	f	X
fuelectenerg-618	207	16	(	(	PUNCT
fuelectenerg-618	207	17	x	x	X
fuelectenerg-618	207	18	)	)	PUNCT
fuelectenerg-618	207	19	with	with	ADP
fuelectenerg-618	207	20	regard	regard	NOUN
fuelectenerg-618	207	21	to	to	ADP
fuelectenerg-618	207	22	(	(	PUNCT
fuelectenerg-618	207	23	x1,x3	x1,x3	PROPN
fuelectenerg-618	207	24	)	)	PUNCT
fuelectenerg-618	207	25	result	result	VERB
fuelectenerg-618	207	26	in	in	ADP
fuelectenerg-618	207	27	the	the	DET
fuelectenerg-618	207	28	same	same	ADJ
fuelectenerg-618	207	29	function	function	NOUN
fuelectenerg-618	207	30	g(x	g(x	NOUN
fuelectenerg-618	207	31	)	)	PUNCT
fuelectenerg-618	207	32	(	(	PUNCT
fuelectenerg-618	207	33	12	12	NUM
fuelectenerg-618	207	34	)	)	PUNCT
fuelectenerg-618	207	35	.	.	PUNCT
fuelectenerg-618	208	1	table	table	NOUN
fuelectenerg-618	208	2	1	1	NUM
fuelectenerg-618	208	3	shows	show	VERB
fuelectenerg-618	208	4	that	that	SCONJ
fuelectenerg-618	208	5	two	two	NUM
fuelectenerg-618	208	6	different	different	ADJ
fuelectenerg-618	208	7	patterns	pattern	NOUN
fuelectenerg-618	208	8	of	of	ADP
fuelectenerg-618	208	9	function	function	NOUN
fuelectenerg-618	208	10	values	value	NOUN
fuelectenerg-618	208	11	of	of	ADP
fuelectenerg-618	208	12	f	f	PROPN
fuelectenerg-618	208	13	(	(	PUNCT
fuelectenerg-618	208	14	x	x	NOUN
fuelectenerg-618	208	15	)	)	PUNCT
fuelectenerg-618	208	16	result	result	VERB
fuelectenerg-618	208	17	for	for	ADP
fuelectenerg-618	208	18	a	a	DET
fuelectenerg-618	208	19	vectorial	vectorial	ADJ
fuelectenerg-618	208	20	derivative	derivative	NOUN
fuelectenerg-618	208	21	in	in	ADP
fuelectenerg-618	208	22	the	the	DET
fuelectenerg-618	208	23	same	same	ADJ
fuelectenerg-618	208	24	pair	pair	NOUN
fuelectenerg-618	208	25	of	of	ADP
fuelectenerg-618	208	26	patterns	pattern	NOUN
fuelectenerg-618	208	27	of	of	ADP
fuelectenerg-618	208	28	function	function	NOUN
fuelectenerg-618	208	29	values	value	NOUN
fuelectenerg-618	208	30	of	of	ADP
fuelectenerg-618	208	31	g(x	g(x	NOUN
fuelectenerg-618	208	32	)	)	PUNCT
fuelectenerg-618	208	33	.	.	PUNCT
fuelectenerg-618	209	1	in	in	ADP
fuelectenerg-618	209	2	the	the	DET
fuelectenerg-618	209	3	special	special	ADJ
fuelectenerg-618	209	4	case	case	NOUN
fuelectenerg-618	209	5	of	of	ADP
fuelectenerg-618	209	6	example	example	NOUN
fuelectenerg-618	209	7	1	1	NUM
fuelectenerg-618	209	8	(	(	PUNCT
fuelectenerg-618	209	9	see	see	AUX
fuelectenerg-618	209	10	also	also	ADV
fuelectenerg-618	209	11	figure	figure	VERB
fuelectenerg-618	209	12	1	1	NUM
fuelectenerg-618	209	13	)	)	PUNCT
fuelectenerg-618	209	14	,	,	PUNCT
fuelectenerg-618	209	15	the	the	DET
fuelectenerg-618	209	16	two	two	NUM
fuelectenerg-618	209	17	possible	possible	ADJ
fuelectenerg-618	209	18	patterns	pattern	NOUN
fuelectenerg-618	209	19	of	of	ADP
fuelectenerg-618	209	20	pairs	pair	NOUN
fuelectenerg-618	209	21	of	of	ADP
fuelectenerg-618	209	22	function	function	NOUN
fuelectenerg-618	209	23	values	value	NOUN
fuelectenerg-618	209	24	for	for	ADP
fuelectenerg-618	209	25	each	each	PRON
fuelectenerg-618	209	26	of	of	ADP
fuelectenerg-618	209	27	the	the	DET
fuelectenerg-618	209	28	four	four	NUM
fuelectenerg-618	209	29	pairs	pair	NOUN
fuelectenerg-618	209	30	lead	lead	VERB
fuelectenerg-618	209	31	to	to	ADP
fuelectenerg-618	209	32	42	42	NUM
fuelectenerg-618	209	33	=	=	SYM
fuelectenerg-618	209	34	16	16	NUM
fuelectenerg-618	209	35	different	different	ADJ
fuelectenerg-618	209	36	function	function	NOUN
fuelectenerg-618	209	37	f	f	PROPN
fuelectenerg-618	209	38	(	(	PUNCT
fuelectenerg-618	209	39	x	x	X
fuelectenerg-618	209	40	)	)	PUNCT
fuelectenerg-618	209	41	with	with	ADP
fuelectenerg-618	209	42	the	the	DET
fuelectenerg-618	209	43	same	same	ADJ
fuelectenerg-618	209	44	function	function	NOUN
fuelectenerg-618	209	45	g(x1,x2,x3	g(x1,x2,x3	NOUN
fuelectenerg-618	209	46	)	)	PUNCT
fuelectenerg-618	209	47	(	(	PUNCT
fuelectenerg-618	209	48	12	12	NUM
fuelectenerg-618	209	49	)	)	PUNCT
fuelectenerg-618	209	50	as	as	ADP
fuelectenerg-618	209	51	result	result	NOUN
fuelectenerg-618	209	52	of	of	ADP
fuelectenerg-618	209	53	the	the	DET
fuelectenerg-618	209	54	vectorial	vectorial	ADJ
fuelectenerg-618	209	55	derivative	derivative	NOUN
fuelectenerg-618	209	56	with	with	ADP
fuelectenerg-618	209	57	regard	regard	NOUN
fuelectenerg-618	209	58	to	to	ADP
fuelectenerg-618	209	59	(	(	PUNCT
fuelectenerg-618	209	60	x1,x3	x1,x3	PROPN
fuelectenerg-618	209	61	)	)	PUNCT
fuelectenerg-618	209	62	.	.	PUNCT
fuelectenerg-618	210	1	figure	figure	NOUN
fuelectenerg-618	210	2	2	2	NUM
fuelectenerg-618	210	3	shows	show	VERB
fuelectenerg-618	210	4	the	the	DET
fuelectenerg-618	210	5	karnaugh	karnaugh	PROPN
fuelectenerg-618	210	6	-	-	PUNCT
fuelectenerg-618	210	7	maps	map	NOUN
fuelectenerg-618	210	8	of	of	ADP
fuelectenerg-618	210	9	these	these	DET
fuelectenerg-618	210	10	16	16	NUM
fuelectenerg-618	210	11	functions	function	NOUN
fuelectenerg-618	210	12	using	use	VERB
fuelectenerg-618	210	13	the	the	DET
fuelectenerg-618	210	14	same	same	ADJ
fuelectenerg-618	210	15	encoding	encoding	NOUN
fuelectenerg-618	210	16	of	of	ADP
fuelectenerg-618	210	17	the	the	DET
fuelectenerg-618	210	18	leftmost	leftmost	PROPN
fuelectenerg-618	210	19	karnaugh	karnaugh	PROPN
fuelectenerg-618	210	20	-	-	PUNCT
fuelectenerg-618	210	21	maps	map	NOUN
fuelectenerg-618	210	22	for	for	ADP
fuelectenerg-618	210	23	all	all	PRON
fuelectenerg-618	210	24	of	of	ADP
fuelectenerg-618	210	25	them	they	PRON
fuelectenerg-618	210	26	.	.	PUNCT
fuelectenerg-618	211	1	the	the	DET
fuelectenerg-618	211	2	original	original	ADJ
fuelectenerg-618	211	3	function	function	NOUN
fuelectenerg-618	211	4	f	f	PROPN
fuelectenerg-618	211	5	(	(	PUNCT
fuelectenerg-618	211	6	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	211	7	)	)	PUNCT
fuelectenerg-618	211	8	belongs	belong	VERB
fuelectenerg-618	211	9	to	to	ADP
fuelectenerg-618	211	10	this	this	DET
fuelectenerg-618	211	11	set	set	NOUN
fuelectenerg-618	211	12	of	of	ADP
fuelectenerg-618	211	13	functions	function	NOUN
fuelectenerg-618	211	14	and	and	CCONJ
fuelectenerg-618	211	15	is	be	AUX
fuelectenerg-618	211	16	labeled	label	VERB
fuelectenerg-618	211	17	as	as	ADP
fuelectenerg-618	211	18	f3(x1,x2,x3	f3(x1,x2,x3	NOUN
fuelectenerg-618	211	19	)	)	PUNCT
fuelectenerg-618	211	20	in	in	ADP
fuelectenerg-618	211	21	figure	figure	NOUN
fuelectenerg-618	211	22	2	2	NUM
fuelectenerg-618	211	23	.	.	PUNCT
fuelectenerg-618	211	24	another	another	DET
fuelectenerg-618	211	25	interesting	interesting	ADJ
fuelectenerg-618	211	26	question	question	NOUN
fuelectenerg-618	211	27	:	:	PUNCT
fuelectenerg-618	211	28	is	be	AUX
fuelectenerg-618	211	29	there	there	ADV
fuelectenerg-618	211	30	for	for	ADP
fuelectenerg-618	211	31	each	each	DET
fuelectenerg-618	211	32	given	give	VERB
fuelectenerg-618	211	33	function	function	NOUN
fuelectenerg-618	211	34	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	211	35	)	)	PUNCT
fuelectenerg-618	211	36	at	at	ADP
fuelectenerg-618	211	37	least	least	ADJ
fuelectenerg-618	211	38	one	one	NUM
fuelectenerg-618	211	39	solution	solution	NOUN
fuelectenerg-618	211	40	function	function	NOUN
fuelectenerg-618	211	41	f	f	PROPN
fuelectenerg-618	211	42	(	(	PUNCT
fuelectenerg-618	211	43	x0,x1	x0,x1	PROPN
fuelectenerg-618	211	44	)	)	PUNCT
fuelectenerg-618	211	45	of	of	ADP
fuelectenerg-618	211	46	the	the	DET
fuelectenerg-618	211	47	simple	simple	ADJ
fuelectenerg-618	211	48	bde	bde	PROPN
fuelectenerg-618	211	49	∂	∂	PROPN
fuelectenerg-618	211	50	f	f	PROPN
fuelectenerg-618	211	51	(	(	PUNCT
fuelectenerg-618	211	52	x0,x1	x0,x1	PROPN
fuelectenerg-618	211	53	)	)	PUNCT
fuelectenerg-618	212	1	∂x0	∂x0	PROPN
fuelectenerg-618	212	2	=	=	PUNCT
fuelectenerg-618	212	3	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	212	4	)	)	PUNCT
fuelectenerg-618	212	5	?	?	PUNCT
fuelectenerg-618	213	1	(	(	PUNCT
fuelectenerg-618	213	2	13	13	NUM
fuelectenerg-618	213	3	)	)	PUNCT
fuelectenerg-618	213	4	due	due	ADP
fuelectenerg-618	213	5	to	to	ADP
fuelectenerg-618	213	6	the	the	DET
fuelectenerg-618	213	7	commutativity	commutativity	NOUN
fuelectenerg-618	213	8	of	of	ADP
fuelectenerg-618	213	9	the	the	DET
fuelectenerg-618	213	10	⊕-operations	⊕-operation	NOUN
fuelectenerg-618	213	11	we	we	PRON
fuelectenerg-618	213	12	have	have	VERB
fuelectenerg-618	213	13	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	213	14	)	)	PUNCT
fuelectenerg-618	214	1	=	=	SYM
fuelectenerg-618	214	2	∂	∂	NUM
fuelectenerg-618	214	3	f	f	NOUN
fuelectenerg-618	214	4	(	(	PUNCT
fuelectenerg-618	214	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	214	6	)	)	PUNCT
fuelectenerg-618	215	1	∂x0	∂x0	PROPN
fuelectenerg-618	216	1	=	=	PUNCT
fuelectenerg-618	216	2	f	f	PROPN
fuelectenerg-618	216	3	(	(	PUNCT
fuelectenerg-618	216	4	x0,x1)⊕	x0,x1)⊕	PROPN
fuelectenerg-618	216	5	f	f	PROPN
fuelectenerg-618	216	6	(	(	PUNCT
fuelectenerg-618	216	7	x0,x1	x0,x1	PROPN
fuelectenerg-618	216	8	)	)	PUNCT
fuelectenerg-618	216	9	=	=	SYM
fuelectenerg-618	217	1	∂	∂	NUM
fuelectenerg-618	217	2	f	f	NOUN
fuelectenerg-618	217	3	(	(	PUNCT
fuelectenerg-618	217	4	x0,x1	x0,x1	PROPN
fuelectenerg-618	217	5	)	)	PUNCT
fuelectenerg-618	217	6	∂x0	∂x0	PROPN
fuelectenerg-618	217	7	=	=	PUNCT
fuelectenerg-618	217	8	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	217	9	)	)	PUNCT
fuelectenerg-618	217	10	.	.	PUNCT
fuelectenerg-618	218	1	(	(	PUNCT
fuelectenerg-618	218	2	14	14	NUM
fuelectenerg-618	218	3	)	)	PUNCT
fuelectenerg-618	218	4	54	54	NUM
fuelectenerg-618	218	5	b.	b.	PROPN
fuelectenerg-618	218	6	steinbach	steinbach	PROPN
fuelectenerg-618	218	7	,	,	PUNCT
fuelectenerg-618	218	8	c.	c.	PROPN
fuelectenerg-618	218	9	posthoff	posthoff	PROPN
fuelectenerg-618	218	10	boolean	boolean	ADJ
fuelectenerg-618	218	11	differential	differential	ADJ
fuelectenerg-618	218	12	equations	equation	NOUN
fuelectenerg-618	218	13	–	–	PUNCT
fuelectenerg-618	218	14	a	a	DET
fuelectenerg-618	218	15	common	common	ADJ
fuelectenerg-618	218	16	model	model	NOUN
fuelectenerg-618	218	17	for	for	ADP
fuelectenerg-618	218	18	classes	class	NOUN
fuelectenerg-618	218	19	,	,	PUNCT
fuelectenerg-618	218	20	lattices	lattice	NOUN
fuelectenerg-618	218	21	...	...	PUNCT
fuelectenerg-618	218	22	55	55	NUM
fuelectenerg-618	218	23	106	106	NUM
fuelectenerg-618	218	24	b.	b.	PROPN
fuelectenerg-618	218	25	steinbach	steinbach	PROPN
fuelectenerg-618	218	26	and	and	CCONJ
fuelectenerg-618	218	27	c.	c.	PROPN
fuelectenerg-618	218	28	posthoff	posthoff	PROPN
fuelectenerg-618	218	29	∂	∂	PROPN
fuelectenerg-618	218	30	f	f	PROPN
fuelectenerg-618	218	31	(	(	PUNCT
fuelectenerg-618	218	32	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	218	33	)	)	PUNCT
fuelectenerg-618	218	34	∂	∂	PROPN
fuelectenerg-618	218	35	(	(	PUNCT
fuelectenerg-618	218	36	x1,x3	x1,x3	PROPN
fuelectenerg-618	218	37	)	)	PUNCT
fuelectenerg-618	219	1	=	=	SYM
fuelectenerg-618	219	2	g(x1,x2,x3	g(x1,x2,x3	X
fuelectenerg-618	219	3	)	)	PUNCT
fuelectenerg-618	219	4	x2x3	x2x3	PUNCT
fuelectenerg-618	220	1	f1(x	f1(x	X
fuelectenerg-618	220	2	)	)	PUNCT
fuelectenerg-618	220	3	0	0	NUM
fuelectenerg-618	221	1	0	0	NUM
fuelectenerg-618	221	2	0	0	NUM
fuelectenerg-618	221	3	1	1	NUM
fuelectenerg-618	221	4	0	0	NUM
fuelectenerg-618	221	5	1	1	NUM
fuelectenerg-618	221	6	0	0	NUM
fuelectenerg-618	221	7	1	1	NUM
fuelectenerg-618	221	8	1	1	NUM
fuelectenerg-618	221	9	1	1	NUM
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fuelectenerg-618	221	13	0	0	NUM
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fuelectenerg-618	221	18	x1	x1	NUM
fuelectenerg-618	221	19	f2(x	f2(x	NOUN
fuelectenerg-618	221	20	)	)	PUNCT
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fuelectenerg-618	222	5	0	0	NUM
fuelectenerg-618	222	6	1	1	NUM
fuelectenerg-618	222	7	0	0	NUM
fuelectenerg-618	222	8	f3(x	f3(x	PROPN
fuelectenerg-618	222	9	)	)	PUNCT
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fuelectenerg-618	223	5	1	1	NUM
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fuelectenerg-618	223	8	f4(x	f4(x	NUM
fuelectenerg-618	223	9	)	)	PUNCT
fuelectenerg-618	223	10	0	0	NUM
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fuelectenerg-618	223	29	)	)	PUNCT
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fuelectenerg-618	223	38	f7(x	f7(x	ADJ
fuelectenerg-618	223	39	)	)	PUNCT
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fuelectenerg-618	223	49	)	)	PUNCT
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fuelectenerg-618	223	58	x2x3	x2x3	X
fuelectenerg-618	223	59	f9(x	f9(x	X
fuelectenerg-618	223	60	)	)	PUNCT
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fuelectenerg-618	223	81	)	)	PUNCT
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fuelectenerg-618	223	131	)	)	PUNCT
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fuelectenerg-618	223	141	)	)	PUNCT
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fuelectenerg-618	223	147	0	0	NUM
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fuelectenerg-618	223	150	x2x3	x2x3	SYM
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fuelectenerg-618	223	152	)	)	PUNCT
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fuelectenerg-618	224	18	�	�	PROPN
fuelectenerg-618	224	19	fig	fig	NOUN
fuelectenerg-618	224	20	.	.	PUNCT
fuelectenerg-618	225	1	2	2	NUM
fuelectenerg-618	225	2	.	.	NOUN
fuelectenerg-618	225	3	sixteen	sixteen	NUM
fuelectenerg-618	225	4	functions	function	NOUN
fuelectenerg-618	225	5	with	with	ADP
fuelectenerg-618	225	6	the	the	DET
fuelectenerg-618	225	7	same	same	ADJ
fuelectenerg-618	225	8	vectorial	vectorial	ADJ
fuelectenerg-618	225	9	derivative	derivative	ADJ
fuelectenerg-618	225	10	g(x1,x2,x3	g(x1,x2,x3	NOUN
fuelectenerg-618	225	11	)	)	PUNCT
fuelectenerg-618	225	12	(	(	PUNCT
fuelectenerg-618	225	13	12	12	NUM
fuelectenerg-618	225	14	)	)	PUNCT
fuelectenerg-618	225	15	.	.	PUNCT
fuelectenerg-618	226	1	therefore	therefore	ADV
fuelectenerg-618	226	2	a	a	DET
fuelectenerg-618	226	3	function	function	NOUN
fuelectenerg-618	226	4	f	f	X
fuelectenerg-618	226	5	(	(	PUNCT
fuelectenerg-618	226	6	x0,x1	x0,x1	PROPN
fuelectenerg-618	226	7	)	)	PUNCT
fuelectenerg-618	226	8	exists	exist	VERB
fuelectenerg-618	226	9	only	only	ADV
fuelectenerg-618	226	10	in	in	ADP
fuelectenerg-618	226	11	the	the	DET
fuelectenerg-618	226	12	case	case	NOUN
fuelectenerg-618	226	13	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	226	14	)	)	PUNCT
fuelectenerg-618	226	15	=	=	SYM
fuelectenerg-618	226	16	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	226	17	)	)	PUNCT
fuelectenerg-618	226	18	g(x0,x1)⊕g(x0,x1	g(x0,x1)⊕g(x0,x1	ADV
fuelectenerg-618	226	19	)	)	PUNCT
fuelectenerg-618	226	20	=	=	SYM
fuelectenerg-618	226	21	g(x0,x1)⊕g(x0,x1	g(x0,x1)⊕g(x0,x1	ADV
fuelectenerg-618	226	22	)	)	PUNCT
fuelectenerg-618	226	23	g(x0,x1)⊕g(x0,x1	g(x0,x1)⊕g(x0,x1	ADV
fuelectenerg-618	226	24	)	)	PUNCT
fuelectenerg-618	227	1	=	=	SYM
fuelectenerg-618	227	2	0	0	NUM
fuelectenerg-618	228	1	∂g(x0,x1	∂g(x0,x1	X
fuelectenerg-618	228	2	)	)	PUNCT
fuelectenerg-618	229	1	∂x0	∂x0	PROPN
fuelectenerg-618	229	2	=	=	NOUN
fuelectenerg-618	229	3	0	0	X
fuelectenerg-618	229	4	.	.	PUNCT
fuelectenerg-618	230	1	(	(	PUNCT
fuelectenerg-618	230	2	15	15	X
fuelectenerg-618	230	3	)	)	PUNCT
fuelectenerg-618	230	4	we	we	PRON
fuelectenerg-618	230	5	call	call	VERB
fuelectenerg-618	230	6	(	(	PUNCT
fuelectenerg-618	230	7	15	15	NUM
fuelectenerg-618	230	8	)	)	PUNCT
fuelectenerg-618	230	9	the	the	DET
fuelectenerg-618	230	10	integrability	integrability	NOUN
fuelectenerg-618	230	11	condition	condition	NOUN
fuelectenerg-618	230	12	and	and	CCONJ
fuelectenerg-618	230	13	can	can	AUX
fuelectenerg-618	230	14	conclude	conclude	VERB
fuelectenerg-618	230	15	:	:	PUNCT
fuelectenerg-618	230	16	the	the	DET
fuelectenerg-618	230	17	functions	function	NOUN
fuelectenerg-618	230	18	f	f	X
fuelectenerg-618	230	19	(	(	PUNCT
fuelectenerg-618	230	20	x0,x1	x0,x1	PROPN
fuelectenerg-618	230	21	)	)	PUNCT
fuelectenerg-618	230	22	of	of	ADP
fuelectenerg-618	230	23	the	the	DET
fuelectenerg-618	230	24	bde	bde	PROPN
fuelectenerg-618	230	25	(	(	PUNCT
fuelectenerg-618	230	26	13	13	NUM
fuelectenerg-618	230	27	)	)	PUNCT
fuelectenerg-618	230	28	exist	exist	VERB
fuelectenerg-618	230	29	if	if	SCONJ
fuelectenerg-618	230	30	and	and	CCONJ
fuelectenerg-618	230	31	only	only	ADV
fuelectenerg-618	230	32	if	if	SCONJ
fuelectenerg-618	230	33	g(x0,x1	g(x0,x1	ADV
fuelectenerg-618	230	34	)	)	PUNCT
fuelectenerg-618	230	35	satisfies	satisfy	VERB
fuelectenerg-618	230	36	the	the	DET
fuelectenerg-618	230	37	integrability	integrability	NOUN
fuelectenerg-618	230	38	condition	condition	NOUN
fuelectenerg-618	230	39	(	(	PUNCT
fuelectenerg-618	230	40	15	15	NUM
fuelectenerg-618	230	41	)	)	PUNCT
fuelectenerg-618	230	42	.	.	PUNCT
fuelectenerg-618	231	1	all	all	DET
fuelectenerg-618	231	2	solution	solution	NOUN
fuelectenerg-618	231	3	functions	function	NOUN
fuelectenerg-618	231	4	of	of	ADP
fuelectenerg-618	231	5	the	the	DET
fuelectenerg-618	231	6	bde	bde	PROPN
fuelectenerg-618	231	7	(	(	PUNCT
fuelectenerg-618	231	8	13	13	NUM
fuelectenerg-618	231	9	)	)	PUNCT
fuelectenerg-618	231	10	are	be	AUX
fuelectenerg-618	231	11	given	give	VERB
fuelectenerg-618	231	12	by	by	ADP
fuelectenerg-618	231	13	fi(x0,x1	fi(x0,x1	NOUN
fuelectenerg-618	231	14	)	)	PUNCT
fuelectenerg-618	232	1	=	=	PRON
fuelectenerg-618	232	2	xi	xi	X
fuelectenerg-618	232	3	∧g(x0,x1)⊕h	∧g(x0,x1)⊕h	PROPN
fuelectenerg-618	232	4	j(x0,x1	j(x0,x1	ADV
fuelectenerg-618	232	5	)	)	PUNCT
fuelectenerg-618	232	6	(	(	PUNCT
fuelectenerg-618	232	7	16	16	NUM
fuelectenerg-618	232	8	)	)	PUNCT
fuelectenerg-618	232	9	with	with	ADP
fuelectenerg-618	232	10	x0	x0	PROPN
fuelectenerg-618	232	11	=	=	SYM
fuelectenerg-618	232	12	(	(	PUNCT
fuelectenerg-618	232	13	x1	x1	PROPN
fuelectenerg-618	232	14	,	,	PUNCT
fuelectenerg-618	232	15	.	.	PUNCT
fuelectenerg-618	232	16	.	.	PUNCT
fuelectenerg-618	232	17	.	.	PUNCT
fuelectenerg-618	233	1	,	,	PUNCT
fuelectenerg-618	233	2	xi	xi	PROPN
fuelectenerg-618	233	3	,	,	PUNCT
fuelectenerg-618	233	4	.	.	PUNCT
fuelectenerg-618	233	5	.	.	PUNCT
fuelectenerg-618	233	6	.	.	PUNCT
fuelectenerg-618	234	1	,	,	PUNCT
fuelectenerg-618	234	2	xk	xk	PROPN
fuelectenerg-618	234	3	)	)	PUNCT
fuelectenerg-618	234	4	,	,	PUNCT
fuelectenerg-618	234	5	x1	x1	PROPN
fuelectenerg-618	234	6	=	=	SYM
fuelectenerg-618	234	7	(	(	PUNCT
fuelectenerg-618	234	8	xk+1	xk+1	PROPN
fuelectenerg-618	234	9	,	,	PUNCT
fuelectenerg-618	234	10	.	.	PUNCT
fuelectenerg-618	234	11	.	.	PUNCT
fuelectenerg-618	234	12	.	.	PUNCT
fuelectenerg-618	235	1	,	,	PUNCT
fuelectenerg-618	235	2	xn	xn	PROPN
fuelectenerg-618	235	3	)	)	PUNCT
fuelectenerg-618	235	4	,	,	PUNCT
fuelectenerg-618	235	5	and	and	CCONJ
fuelectenerg-618	235	6	∂h	∂h	PROPN
fuelectenerg-618	235	7	j(x0,x1	j(x0,x1	ADV
fuelectenerg-618	235	8	)	)	PUNCT
fuelectenerg-618	236	1	∂x0	∂x0	PROPN
fuelectenerg-618	236	2	=	=	PUNCT
fuelectenerg-618	236	3	0	0	X
fuelectenerg-618	236	4	.	.	PUNCT
fuelectenerg-618	237	1	(	(	PUNCT
fuelectenerg-618	237	2	17	17	NUM
fuelectenerg-618	237	3	)	)	PUNCT
fuelectenerg-618	237	4	we	we	PRON
fuelectenerg-618	237	5	learn	learn	VERB
fuelectenerg-618	237	6	from	from	ADP
fuelectenerg-618	237	7	this	this	DET
fuelectenerg-618	237	8	example	example	NOUN
fuelectenerg-618	237	9	:	:	PUNCT
fuelectenerg-618	237	10	1	1	X
fuelectenerg-618	237	11	.	.	X
fuelectenerg-618	237	12	a	a	DET
fuelectenerg-618	237	13	boolean	boolean	ADJ
fuelectenerg-618	237	14	differential	differential	ADJ
fuelectenerg-618	237	15	equation	equation	NOUN
fuelectenerg-618	237	16	∂	∂	NOUN
fuelectenerg-618	237	17	f	f	PROPN
fuelectenerg-618	237	18	(	(	PUNCT
fuelectenerg-618	237	19	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	237	20	)	)	PUNCT
fuelectenerg-618	237	21	∂	∂	PROPN
fuelectenerg-618	237	22	(	(	PUNCT
fuelectenerg-618	237	23	x1,x3	x1,x3	PROPN
fuelectenerg-618	237	24	)	)	PUNCT
fuelectenerg-618	237	25	=	=	SYM
fuelectenerg-618	238	1	g(x1,x2,x3	g(x1,x2,x3	X
fuelectenerg-618	238	2	)	)	PUNCT
fuelectenerg-618	238	3	includes	include	VERB
fuelectenerg-618	238	4	the	the	DET
fuelectenerg-618	238	5	unknown	unknown	ADJ
fuelectenerg-618	238	6	function	function	NOUN
fuelectenerg-618	238	7	f	f	PROPN
fuelectenerg-618	238	8	(	(	PUNCT
fuelectenerg-618	238	9	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	238	10	)	)	PUNCT
fuelectenerg-618	238	11	.	.	PUNCT
fuelectenerg-618	239	1	2	2	X
fuelectenerg-618	239	2	.	.	X
fuelectenerg-618	239	3	there	there	PRON
fuelectenerg-618	239	4	are	be	VERB
fuelectenerg-618	239	5	solutions	solution	NOUN
fuelectenerg-618	239	6	of	of	ADP
fuelectenerg-618	239	7	a	a	DET
fuelectenerg-618	239	8	bde	bde	NOUN
fuelectenerg-618	239	9	only	only	ADV
fuelectenerg-618	239	10	if	if	SCONJ
fuelectenerg-618	239	11	the	the	DET
fuelectenerg-618	239	12	right	right	ADJ
fuelectenerg-618	239	13	-	-	PUNCT
fuelectenerg-618	239	14	hand	hand	NOUN
fuelectenerg-618	239	15	function	function	NOUN
fuelectenerg-618	239	16	g(x1,x2,x3	g(x1,x2,x3	NOUN
fuelectenerg-618	239	17	)	)	PUNCT
fuelectenerg-618	239	18	satisfies	satisfy	VERB
fuelectenerg-618	239	19	a	a	DET
fuelectenerg-618	239	20	special	special	ADJ
fuelectenerg-618	239	21	integrability	integrability	NOUN
fuelectenerg-618	239	22	condition	condition	NOUN
fuelectenerg-618	239	23	.	.	PUNCT
fuelectenerg-618	240	1	56	56	NUM
fuelectenerg-618	240	2	b.	b.	PROPN
fuelectenerg-618	240	3	steinbach	steinbach	PROPN
fuelectenerg-618	240	4	,	,	PUNCT
fuelectenerg-618	240	5	c.	c.	PROPN
fuelectenerg-618	240	6	posthoff	posthoff	PROPN
fuelectenerg-618	240	7	boolean	boolean	ADJ
fuelectenerg-618	240	8	differential	differential	ADJ
fuelectenerg-618	240	9	equations	equation	NOUN
fuelectenerg-618	240	10	–	–	PUNCT
fuelectenerg-618	240	11	a	a	DET
fuelectenerg-618	240	12	common	common	ADJ
fuelectenerg-618	240	13	model	model	NOUN
fuelectenerg-618	240	14	for	for	ADP
fuelectenerg-618	240	15	classes	class	NOUN
fuelectenerg-618	240	16	,	,	PUNCT
fuelectenerg-618	240	17	lattices	lattice	NOUN
fuelectenerg-618	240	18	...	...	PUNCT
fuelectenerg-618	240	19	57	57	NUM
fuelectenerg-618	240	20	boolean	boolean	ADJ
fuelectenerg-618	240	21	differential	differential	ADJ
fuelectenerg-618	240	22	equations	equation	NOUN
fuelectenerg-618	240	23	a	a	DET
fuelectenerg-618	240	24	common	common	ADJ
fuelectenerg-618	240	25	model	model	NOUN
fuelectenerg-618	240	26	for	for	ADP
fuelectenerg-618	240	27	classes	class	NOUN
fuelectenerg-618	240	28	,	,	PUNCT
fuelectenerg-618	240	29	lattices	lattice	NOUN
fuelectenerg-618	240	30	,	,	PUNCT
fuelectenerg-618	240	31	...	...	PUNCT
fuelectenerg-618	241	1	107	107	NUM
fuelectenerg-618	241	2	3	3	NUM
fuelectenerg-618	241	3	.	.	PUNCT
fuelectenerg-618	242	1	the	the	DET
fuelectenerg-618	242	2	general	general	ADJ
fuelectenerg-618	242	3	solution	solution	NOUN
fuelectenerg-618	242	4	of	of	ADP
fuelectenerg-618	242	5	an	an	DET
fuelectenerg-618	242	6	inhomogeneous	inhomogeneous	ADJ
fuelectenerg-618	242	7	bde	bde	NOUN
fuelectenerg-618	242	8	is	be	AUX
fuelectenerg-618	242	9	built	build	VERB
fuelectenerg-618	242	10	using	use	VERB
fuelectenerg-618	242	11	a	a	DET
fuelectenerg-618	242	12	single	single	ADJ
fuelectenerg-618	242	13	special	special	ADJ
fuelectenerg-618	242	14	solution	solution	NOUN
fuelectenerg-618	242	15	of	of	ADP
fuelectenerg-618	242	16	the	the	DET
fuelectenerg-618	242	17	inhomogeneous	inhomogeneous	ADJ
fuelectenerg-618	242	18	bde	bde	NOUN
fuelectenerg-618	242	19	and	and	CCONJ
fuelectenerg-618	242	20	the	the	DET
fuelectenerg-618	242	21	set	set	NOUN
fuelectenerg-618	242	22	of	of	ADP
fuelectenerg-618	242	23	all	all	DET
fuelectenerg-618	242	24	solutions	solution	NOUN
fuelectenerg-618	242	25	of	of	ADP
fuelectenerg-618	242	26	the	the	DET
fuelectenerg-618	242	27	associated	associate	VERB
fuelectenerg-618	242	28	homogeneous	homogeneous	PROPN
fuelectenerg-618	242	29	bde	bde	PROPN
fuelectenerg-618	242	30	.	.	PUNCT
fuelectenerg-618	243	1	the	the	DET
fuelectenerg-618	243	2	associated	associate	VERB
fuelectenerg-618	243	3	homogeneous	homogeneous	PROPN
fuelectenerg-618	243	4	bde	bde	PROPN
fuelectenerg-618	243	5	is	be	AUX
fuelectenerg-618	243	6	built	build	VERB
fuelectenerg-618	243	7	by	by	ADP
fuelectenerg-618	243	8	replacing	replace	VERB
fuelectenerg-618	243	9	the	the	DET
fuelectenerg-618	243	10	right	right	ADJ
fuelectenerg-618	243	11	-	-	PUNCT
fuelectenerg-618	243	12	hand	hand	NOUN
fuelectenerg-618	243	13	side	side	NOUN
fuelectenerg-618	243	14	of	of	ADP
fuelectenerg-618	243	15	an	an	DET
fuelectenerg-618	243	16	inhomogeneous	inhomogeneous	ADJ
fuelectenerg-618	243	17	bde	bde	NOUN
fuelectenerg-618	243	18	by	by	ADP
fuelectenerg-618	243	19	0	0	NUM
fuelectenerg-618	243	20	.	.	PROPN
fuelectenerg-618	243	21	4	4	NUM
fuelectenerg-618	243	22	.	.	X
fuelectenerg-618	244	1	generally	generally	ADV
fuelectenerg-618	244	2	,	,	PUNCT
fuelectenerg-618	244	3	the	the	DET
fuelectenerg-618	244	4	solution	solution	NOUN
fuelectenerg-618	244	5	of	of	ADP
fuelectenerg-618	244	6	a	a	DET
fuelectenerg-618	244	7	boolean	boolean	ADJ
fuelectenerg-618	244	8	differential	differential	NOUN
fuelectenerg-618	244	9	equation	equation	NOUN
fuelectenerg-618	244	10	is	be	AUX
fuelectenerg-618	244	11	a	a	DET
fuelectenerg-618	244	12	set	set	NOUN
fuelectenerg-618	244	13	of	of	ADP
fuelectenerg-618	244	14	boolean	boolean	ADJ
fuelectenerg-618	244	15	functions	function	NOUN
fuelectenerg-618	244	16	.	.	PUNCT
fuelectenerg-618	245	1	this	this	PRON
fuelectenerg-618	245	2	is	be	AUX
fuelectenerg-618	245	3	a	a	DET
fuelectenerg-618	245	4	significant	significant	ADJ
fuelectenerg-618	245	5	difference	difference	NOUN
fuelectenerg-618	245	6	to	to	ADP
fuelectenerg-618	245	7	boolean	boolean	ADJ
fuelectenerg-618	245	8	equations	equation	NOUN
fuelectenerg-618	245	9	.	.	PUNCT
fuelectenerg-618	246	1	the	the	DET
fuelectenerg-618	246	2	solution	solution	NOUN
fuelectenerg-618	246	3	of	of	ADP
fuelectenerg-618	246	4	a	a	DET
fuelectenerg-618	246	5	boolean	boolean	ADJ
fuelectenerg-618	246	6	equation	equation	NOUN
fuelectenerg-618	246	7	is	be	AUX
fuelectenerg-618	246	8	a	a	DET
fuelectenerg-618	246	9	set	set	NOUN
fuelectenerg-618	246	10	of	of	ADP
fuelectenerg-618	246	11	boolean	boolean	ADJ
fuelectenerg-618	246	12	vectors	vector	NOUN
fuelectenerg-618	246	13	.	.	PUNCT
fuelectenerg-618	247	1	3.2	3.2	NUM
fuelectenerg-618	247	2	bdes	bde	NOUN
fuelectenerg-618	247	3	of	of	ADP
fuelectenerg-618	247	4	simple	simple	ADJ
fuelectenerg-618	247	5	and	and	CCONJ
fuelectenerg-618	247	6	vectorial	vectorial	ADJ
fuelectenerg-618	247	7	derivatives	derivative	NOUN
fuelectenerg-618	247	8	separation	separation	NOUN
fuelectenerg-618	247	9	of	of	ADP
fuelectenerg-618	247	10	classes	class	NOUN
fuelectenerg-618	247	11	generally	generally	ADV
fuelectenerg-618	247	12	,	,	PUNCT
fuelectenerg-618	247	13	a	a	DET
fuelectenerg-618	247	14	boolean	boolean	ADJ
fuelectenerg-618	247	15	differential	differential	ADJ
fuelectenerg-618	247	16	equation	equation	NOUN
fuelectenerg-618	247	17	(	(	PUNCT
fuelectenerg-618	247	18	bde	bde	PROPN
fuelectenerg-618	247	19	)	)	PUNCT
fuelectenerg-618	247	20	is	be	AUX
fuelectenerg-618	247	21	an	an	DET
fuelectenerg-618	247	22	equation	equation	NOUN
fuelectenerg-618	247	23	in	in	ADP
fuelectenerg-618	247	24	which	which	PRON
fuelectenerg-618	247	25	derivative	derivative	ADJ
fuelectenerg-618	247	26	operations	operation	NOUN
fuelectenerg-618	247	27	of	of	ADP
fuelectenerg-618	247	28	an	an	DET
fuelectenerg-618	247	29	unknown	unknown	ADJ
fuelectenerg-618	247	30	function	function	NOUN
fuelectenerg-618	247	31	f	f	PROPN
fuelectenerg-618	247	32	(	(	PUNCT
fuelectenerg-618	247	33	x	x	X
fuelectenerg-618	247	34	)	)	PUNCT
fuelectenerg-618	247	35	occur	occur	VERB
fuelectenerg-618	247	36	.	.	PUNCT
fuelectenerg-618	248	1	in	in	ADP
fuelectenerg-618	248	2	order	order	NOUN
fuelectenerg-618	248	3	to	to	PART
fuelectenerg-618	248	4	find	find	VERB
fuelectenerg-618	248	5	a	a	DET
fuelectenerg-618	248	6	convenient	convenient	ADJ
fuelectenerg-618	248	7	solution	solution	NOUN
fuelectenerg-618	248	8	method	method	NOUN
fuelectenerg-618	248	9	,	,	PUNCT
fuelectenerg-618	248	10	we	we	PRON
fuelectenerg-618	248	11	restrict	restrict	VERB
fuelectenerg-618	248	12	in	in	ADP
fuelectenerg-618	248	13	this	this	DET
fuelectenerg-618	248	14	subsection	subsection	NOUN
fuelectenerg-618	248	15	bdes	bde	VERB
fuelectenerg-618	248	16	such	such	ADJ
fuelectenerg-618	248	17	that	that	SCONJ
fuelectenerg-618	248	18	only	only	ADV
fuelectenerg-618	248	19	the	the	DET
fuelectenerg-618	248	20	function	function	NOUN
fuelectenerg-618	248	21	f	f	X
fuelectenerg-618	248	22	(	(	PUNCT
fuelectenerg-618	248	23	x	x	NOUN
fuelectenerg-618	248	24	)	)	PUNCT
fuelectenerg-618	248	25	and	and	CCONJ
fuelectenerg-618	248	26	all	all	DET
fuelectenerg-618	248	27	its	its	PRON
fuelectenerg-618	248	28	simple	simple	ADJ
fuelectenerg-618	248	29	and	and	CCONJ
fuelectenerg-618	248	30	vectorial	vectorial	ADJ
fuelectenerg-618	248	31	derivatives	derivative	NOUN
fuelectenerg-618	248	32	are	be	AUX
fuelectenerg-618	248	33	allowed	allow	VERB
fuelectenerg-618	248	34	in	in	ADP
fuelectenerg-618	248	35	expressions	expression	NOUN
fuelectenerg-618	248	36	on	on	ADP
fuelectenerg-618	248	37	both	both	DET
fuelectenerg-618	248	38	sides	side	NOUN
fuelectenerg-618	248	39	of	of	ADP
fuelectenerg-618	248	40	an	an	DET
fuelectenerg-618	248	41	equation	equation	NOUN
fuelectenerg-618	248	42	:	:	PUNCT
fuelectenerg-618	248	43	dl	dl	PROPN
fuelectenerg-618	248	44	(	(	PUNCT
fuelectenerg-618	248	45	f	f	PROPN
fuelectenerg-618	248	46	(	(	PUNCT
fuelectenerg-618	248	47	x	x	NOUN
fuelectenerg-618	248	48	)	)	PUNCT
fuelectenerg-618	248	49	,	,	PUNCT
fuelectenerg-618	248	50	∂	∂	NUM
fuelectenerg-618	248	51	f	f	X
fuelectenerg-618	248	52	(	(	PUNCT
fuelectenerg-618	248	53	x	x	X
fuelectenerg-618	248	54	)	)	PUNCT
fuelectenerg-618	248	55	∂x1	∂x1	NOUN
fuelectenerg-618	248	56	,	,	PUNCT
fuelectenerg-618	248	57	∂	∂	NUM
fuelectenerg-618	248	58	f	f	NOUN
fuelectenerg-618	248	59	(	(	PUNCT
fuelectenerg-618	248	60	x	x	NOUN
fuelectenerg-618	248	61	)	)	PUNCT
fuelectenerg-618	248	62	∂x2	∂x2	NOUN
fuelectenerg-618	248	63	,	,	PUNCT
fuelectenerg-618	248	64	.	.	PUNCT
fuelectenerg-618	248	65	.	.	PUNCT
fuelectenerg-618	248	66	.	.	PUNCT
fuelectenerg-618	249	1	,	,	PUNCT
fuelectenerg-618	249	2	∂	∂	NUM
fuelectenerg-618	249	3	f	f	X
fuelectenerg-618	249	4	(	(	PUNCT
fuelectenerg-618	249	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	249	6	)	)	PUNCT
fuelectenerg-618	250	1	∂x0	∂x0	PROPN
fuelectenerg-618	250	2	,	,	PUNCT
fuelectenerg-618	250	3	.	.	PUNCT
fuelectenerg-618	250	4	.	.	PUNCT
fuelectenerg-618	251	1	.	.	PUNCT
fuelectenerg-618	252	1	,	,	PUNCT
fuelectenerg-618	252	2	∂	∂	NUM
fuelectenerg-618	252	3	f	f	X
fuelectenerg-618	252	4	(	(	PUNCT
fuelectenerg-618	252	5	x	x	X
fuelectenerg-618	252	6	)	)	PUNCT
fuelectenerg-618	252	7	∂x	∂x	PROPN
fuelectenerg-618	252	8	)	)	PUNCT
fuelectenerg-618	253	1	=	=	SYM
fuelectenerg-618	253	2	dr	dr	PROPN
fuelectenerg-618	253	3	(	(	PUNCT
fuelectenerg-618	253	4	f	f	PROPN
fuelectenerg-618	253	5	(	(	PUNCT
fuelectenerg-618	253	6	x	x	NOUN
fuelectenerg-618	253	7	)	)	PUNCT
fuelectenerg-618	253	8	,	,	PUNCT
fuelectenerg-618	253	9	∂	∂	NUM
fuelectenerg-618	253	10	f	f	X
fuelectenerg-618	253	11	(	(	PUNCT
fuelectenerg-618	253	12	x	x	X
fuelectenerg-618	253	13	)	)	PUNCT
fuelectenerg-618	253	14	∂x1	∂x1	NOUN
fuelectenerg-618	253	15	,	,	PUNCT
fuelectenerg-618	253	16	∂	∂	NUM
fuelectenerg-618	253	17	f	f	NOUN
fuelectenerg-618	253	18	(	(	PUNCT
fuelectenerg-618	253	19	x	x	NOUN
fuelectenerg-618	253	20	)	)	PUNCT
fuelectenerg-618	253	21	∂x2	∂x2	NOUN
fuelectenerg-618	253	22	,	,	PUNCT
fuelectenerg-618	253	23	.	.	PUNCT
fuelectenerg-618	253	24	.	.	PUNCT
fuelectenerg-618	253	25	.	.	PUNCT
fuelectenerg-618	254	1	,	,	PUNCT
fuelectenerg-618	254	2	∂	∂	NUM
fuelectenerg-618	254	3	f	f	X
fuelectenerg-618	254	4	(	(	PUNCT
fuelectenerg-618	254	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	254	6	)	)	PUNCT
fuelectenerg-618	255	1	∂x0	∂x0	PROPN
fuelectenerg-618	255	2	,	,	PUNCT
fuelectenerg-618	255	3	.	.	PUNCT
fuelectenerg-618	255	4	.	.	PUNCT
fuelectenerg-618	256	1	.	.	PUNCT
fuelectenerg-618	257	1	,	,	PUNCT
fuelectenerg-618	257	2	∂	∂	NUM
fuelectenerg-618	257	3	f	f	X
fuelectenerg-618	257	4	(	(	PUNCT
fuelectenerg-618	257	5	x	x	X
fuelectenerg-618	257	6	)	)	PUNCT
fuelectenerg-618	257	7	∂x	∂x	PROPN
fuelectenerg-618	257	8	)	)	PUNCT
fuelectenerg-618	257	9	.	.	PUNCT
fuelectenerg-618	258	1	(	(	PUNCT
fuelectenerg-618	258	2	18	18	NUM
fuelectenerg-618	258	3	)	)	PUNCT
fuelectenerg-618	258	4	using	use	VERB
fuelectenerg-618	258	5	the	the	DET
fuelectenerg-618	258	6	⊕-operation	⊕-operation	NOUN
fuelectenerg-618	258	7	,	,	PUNCT
fuelectenerg-618	258	8	each	each	DET
fuelectenerg-618	258	9	bde(18	bde(18	NOUN
fuelectenerg-618	258	10	)	)	PUNCT
fuelectenerg-618	258	11	can	can	AUX
fuelectenerg-618	258	12	be	be	AUX
fuelectenerg-618	258	13	transformed	transform	VERB
fuelectenerg-618	258	14	into	into	ADP
fuelectenerg-618	258	15	a	a	DET
fuelectenerg-618	258	16	homogeneous	homogeneous	ADJ
fuelectenerg-618	258	17	restrictive	restrictive	ADJ
fuelectenerg-618	258	18	bde	bde	NOUN
fuelectenerg-618	258	19	:	:	PUNCT
fuelectenerg-618	258	20	d	d	PROPN
fuelectenerg-618	258	21	(	(	PUNCT
fuelectenerg-618	258	22	f	f	X
fuelectenerg-618	258	23	(	(	PUNCT
fuelectenerg-618	258	24	x	x	NOUN
fuelectenerg-618	258	25	)	)	PUNCT
fuelectenerg-618	258	26	,	,	PUNCT
fuelectenerg-618	258	27	∂	∂	NUM
fuelectenerg-618	258	28	f	f	X
fuelectenerg-618	258	29	(	(	PUNCT
fuelectenerg-618	258	30	x	x	X
fuelectenerg-618	258	31	)	)	PUNCT
fuelectenerg-618	258	32	∂x1	∂x1	NOUN
fuelectenerg-618	258	33	,	,	PUNCT
fuelectenerg-618	258	34	∂	∂	NUM
fuelectenerg-618	258	35	f	f	NOUN
fuelectenerg-618	258	36	(	(	PUNCT
fuelectenerg-618	258	37	x	x	NOUN
fuelectenerg-618	258	38	)	)	PUNCT
fuelectenerg-618	258	39	∂x2	∂x2	NOUN
fuelectenerg-618	258	40	,	,	PUNCT
fuelectenerg-618	258	41	.	.	PUNCT
fuelectenerg-618	258	42	.	.	PUNCT
fuelectenerg-618	259	1	.	.	PUNCT
fuelectenerg-618	260	1	,	,	PUNCT
fuelectenerg-618	260	2	∂	∂	NUM
fuelectenerg-618	260	3	f	f	X
fuelectenerg-618	260	4	(	(	PUNCT
fuelectenerg-618	260	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	260	6	)	)	PUNCT
fuelectenerg-618	261	1	∂x0	∂x0	PROPN
fuelectenerg-618	261	2	,	,	PUNCT
fuelectenerg-618	261	3	.	.	PUNCT
fuelectenerg-618	261	4	.	.	PUNCT
fuelectenerg-618	262	1	.	.	PUNCT
fuelectenerg-618	263	1	,	,	PUNCT
fuelectenerg-618	263	2	∂	∂	NUM
fuelectenerg-618	263	3	f	f	X
fuelectenerg-618	263	4	(	(	PUNCT
fuelectenerg-618	263	5	x	x	X
fuelectenerg-618	263	6	)	)	PUNCT
fuelectenerg-618	263	7	∂x	∂x	PROPN
fuelectenerg-618	263	8	)	)	PUNCT
fuelectenerg-618	264	1	=	=	SYM
fuelectenerg-618	264	2	0	0	X
fuelectenerg-618	264	3	.	.	PUNCT
fuelectenerg-618	265	1	(	(	PUNCT
fuelectenerg-618	265	2	19	19	NUM
fuelectenerg-618	265	3	)	)	PUNCT
fuelectenerg-618	265	4	the	the	DET
fuelectenerg-618	265	5	following	follow	VERB
fuelectenerg-618	265	6	definition	definition	NOUN
fuelectenerg-618	265	7	supports	support	VERB
fuelectenerg-618	265	8	the	the	DET
fuelectenerg-618	265	9	description	description	NOUN
fuelectenerg-618	265	10	of	of	ADP
fuelectenerg-618	265	11	the	the	DET
fuelectenerg-618	265	12	solution	solution	NOUN
fuelectenerg-618	265	13	procedure	procedure	NOUN
fuelectenerg-618	265	14	.	.	PUNCT
fuelectenerg-618	266	1	definition	definition	NOUN
fuelectenerg-618	266	2	1	1	NUM
fuelectenerg-618	266	3	.	.	PUNCT
fuelectenerg-618	267	1	let	let	VERB
fuelectenerg-618	267	2	g(x	g(x	NOUN
fuelectenerg-618	267	3	)	)	PUNCT
fuelectenerg-618	267	4	be	be	AUX
fuelectenerg-618	267	5	a	a	DET
fuelectenerg-618	267	6	solution	solution	NOUN
fuelectenerg-618	267	7	function	function	NOUN
fuelectenerg-618	267	8	of	of	ADP
fuelectenerg-618	267	9	(	(	PUNCT
fuelectenerg-618	267	10	19	19	NUM
fuelectenerg-618	267	11	)	)	PUNCT
fuelectenerg-618	267	12	.	.	PUNCT
fuelectenerg-618	268	1	then	then	ADV
fuelectenerg-618	268	2	1	1	X
fuelectenerg-618	268	3	.	.	PUNCT
fuelectenerg-618	269	1	[	[	PUNCT
fuelectenerg-618	269	2	g(x	g(x	NOUN
fuelectenerg-618	269	3	)	)	PUNCT
fuelectenerg-618	269	4	,	,	PUNCT
fuelectenerg-618	269	5	∂g(x	∂g(x	PROPN
fuelectenerg-618	269	6	)	)	PUNCT
fuelectenerg-618	269	7	∂x1	∂x1	NOUN
fuelectenerg-618	269	8	,	,	PUNCT
fuelectenerg-618	269	9	∂g(x	∂g(x	NOUN
fuelectenerg-618	269	10	)	)	PUNCT
fuelectenerg-618	269	11	∂x2	∂x2	NOUN
fuelectenerg-618	269	12	,	,	PUNCT
fuelectenerg-618	269	13	.	.	PUNCT
fuelectenerg-618	269	14	.	.	PUNCT
fuelectenerg-618	270	1	.	.	PUNCT
fuelectenerg-618	271	1	,	,	PUNCT
fuelectenerg-618	271	2	∂g(x	∂g(x	NOUN
fuelectenerg-618	271	3	)	)	PUNCT
fuelectenerg-618	271	4	∂x	∂x	NOUN
fuelectenerg-618	271	5	]	]	PUNCT
fuelectenerg-618	272	1	x	x	PUNCT
fuelectenerg-618	272	2	=	=	SYM
fuelectenerg-618	272	3	c	c	X
fuelectenerg-618	272	4	(	(	PUNCT
fuelectenerg-618	272	5	20	20	NUM
fuelectenerg-618	272	6	)	)	PUNCT
fuelectenerg-618	272	7	is	be	AUX
fuelectenerg-618	272	8	a	a	DET
fuelectenerg-618	272	9	local	local	ADJ
fuelectenerg-618	272	10	solution	solution	NOUN
fuelectenerg-618	272	11	for	for	ADP
fuelectenerg-618	272	12	x	x	SYM
fuelectenerg-618	272	13	=	=	SYM
fuelectenerg-618	272	14	c	c	NOUN
fuelectenerg-618	272	15	,	,	PUNCT
fuelectenerg-618	272	16	2	2	NUM
fuelectenerg-618	272	17	.	.	PUNCT
fuelectenerg-618	272	18	d(u0,u1	d(u0,u1	PUNCT
fuelectenerg-618	272	19	,	,	PUNCT
fuelectenerg-618	272	20	.	.	PUNCT
fuelectenerg-618	272	21	.	.	PUNCT
fuelectenerg-618	273	1	.	.	PUNCT
fuelectenerg-618	274	1	,	,	PUNCT
fuelectenerg-618	274	2	u2n−1	u2n−1	PROPN
fuelectenerg-618	274	3	)	)	PUNCT
fuelectenerg-618	274	4	=	=	SYM
fuelectenerg-618	274	5	0	0	NUM
fuelectenerg-618	275	1	(	(	PUNCT
fuelectenerg-618	275	2	21	21	NUM
fuelectenerg-618	275	3	)	)	PUNCT
fuelectenerg-618	275	4	is	be	AUX
fuelectenerg-618	275	5	the	the	DET
fuelectenerg-618	275	6	boolean	boolean	ADJ
fuelectenerg-618	275	7	equation	equation	NOUN
fuelectenerg-618	275	8	,	,	PUNCT
fuelectenerg-618	275	9	associated	associate	VERB
fuelectenerg-618	275	10	to	to	ADP
fuelectenerg-618	275	11	the	the	DET
fuelectenerg-618	275	12	boolean	boolean	ADJ
fuelectenerg-618	275	13	differential	differential	NOUN
fuelectenerg-618	275	14	equation	equation	NOUN
fuelectenerg-618	275	15	(	(	PUNCT
fuelectenerg-618	275	16	19	19	NUM
fuelectenerg-618	275	17	)	)	PUNCT
fuelectenerg-618	275	18	,	,	PUNCT
fuelectenerg-618	275	19	and	and	CCONJ
fuelectenerg-618	275	20	has	have	VERB
fuelectenerg-618	275	21	the	the	DET
fuelectenerg-618	275	22	set	set	NOUN
fuelectenerg-618	275	23	of	of	ADP
fuelectenerg-618	275	24	local	local	ADJ
fuelectenerg-618	275	25	solutions	solution	NOUN
fuelectenerg-618	275	26	sls	sls	PROPN
fuelectenerg-618	275	27	.	.	PROPN
fuelectenerg-618	275	28	56	56	NUM
fuelectenerg-618	275	29	b.	b.	PROPN
fuelectenerg-618	275	30	steinbach	steinbach	PROPN
fuelectenerg-618	275	31	,	,	PUNCT
fuelectenerg-618	275	32	c.	c.	PROPN
fuelectenerg-618	275	33	posthoff	posthoff	PROPN
fuelectenerg-618	275	34	boolean	boolean	ADJ
fuelectenerg-618	275	35	differential	differential	ADJ
fuelectenerg-618	275	36	equations	equation	NOUN
fuelectenerg-618	275	37	–	–	PUNCT
fuelectenerg-618	275	38	a	a	DET
fuelectenerg-618	275	39	common	common	ADJ
fuelectenerg-618	275	40	model	model	NOUN
fuelectenerg-618	275	41	for	for	ADP
fuelectenerg-618	275	42	classes	class	NOUN
fuelectenerg-618	275	43	,	,	PUNCT
fuelectenerg-618	275	44	lattices	lattice	NOUN
fuelectenerg-618	275	45	...	...	PUNCT
fuelectenerg-618	275	46	57	57	NUM
fuelectenerg-618	275	47	108	108	NUM
fuelectenerg-618	275	48	b.	b.	NOUN
fuelectenerg-618	275	49	steinbach	steinbach	PROPN
fuelectenerg-618	275	50	and	and	CCONJ
fuelectenerg-618	275	51	c.	c.	PROPN
fuelectenerg-618	275	52	posthoff	posthoff	PROPN
fuelectenerg-618	275	53	�	�	PROPN
fuelectenerg-618	275	54	�	�	PROPN
fuelectenerg-618	275	55	�	�	PROPN
fuelectenerg-618	275	56	�	�	PROPN
fuelectenerg-618	275	57	�	�	PROPN
fuelectenerg-618	275	58	�	�	PROPN
fuelectenerg-618	275	59	�	�	PROPN
fuelectenerg-618	275	60	�	�	PROPN
fuelectenerg-618	275	61	01	01	NUM
fuelectenerg-618	275	62	dx1	dx1	PROPN
fuelectenerg-618	275	63	dx2	dx2	PROPN
fuelectenerg-618	275	64	�	�	PROPN
fuelectenerg-618	275	65	�	�	PROPN
fuelectenerg-618	275	66	dx1	dx1	PROPN
fuelectenerg-618	275	67	dx2	dx2	PROPN
fuelectenerg-618	275	68	�	�	PROPN
fuelectenerg-618	275	69	�	�	PROPN
fuelectenerg-618	275	70	dx1	dx1	PROPN
fuelectenerg-618	275	71	dx2	dx2	PROPN
fuelectenerg-618	275	72	�	�	PROPN
fuelectenerg-618	275	73	�	�	PROPN
fuelectenerg-618	275	74	�	�	PROPN
fuelectenerg-618	275	75	�	�	PROPN
fuelectenerg-618	275	76	�	�	PROPN
fuelectenerg-618	275	77	�	�	PROPN
fuelectenerg-618	275	78	�	�	PROPN
fuelectenerg-618	275	79	�	�	PROPN
fuelectenerg-618	275	80	�	�	PROPN
fuelectenerg-618	275	81	�	�	PROPN
fuelectenerg-618	275	82	�	�	PROPN
fuelectenerg-618	275	83	�	�	PROPN
fuelectenerg-618	275	84	�	�	PROPN
fuelectenerg-618	275	85	�	�	PROPN
fuelectenerg-618	275	86	�	�	PROPN
fuelectenerg-618	275	87	�	�	PROPN
fuelectenerg-618	275	88	�	�	PROPN
fuelectenerg-618	275	89	�	�	PROPN
fuelectenerg-618	275	90	�	�	PROPN
fuelectenerg-618	275	91	�	�	PROPN
fuelectenerg-618	275	92	�	�	PROPN
fuelectenerg-618	275	93	�	�	PROPN
fuelectenerg-618	275	94	�	�	PROPN
fuelectenerg-618	275	95	�	�	PROPN
fuelectenerg-618	275	96	�	�	PROPN
fuelectenerg-618	275	97	�	�	PROPN
fuelectenerg-618	275	98	�	�	PROPN
fuelectenerg-618	275	99	�	�	PROPN
fuelectenerg-618	275	100	�	�	PROPN
fuelectenerg-618	275	101	�	�	PROPN
fuelectenerg-618	275	102	�	�	PROPN
fuelectenerg-618	275	103	�	�	PROPN
fuelectenerg-618	275	104	�	�	PROPN
fuelectenerg-618	275	105	�	�	PROPN
fuelectenerg-618	275	106	�	�	PROPN
fuelectenerg-618	275	107	11	11	NUM
fuelectenerg-618	275	108	�	�	PROPN
fuelectenerg-618	275	109	�	�	PROPN
fuelectenerg-618	275	110	dx1	dx1	PROPN
fuelectenerg-618	275	111	dx2	dx2	PROPN
fuelectenerg-618	275	112	�	�	PROPN
fuelectenerg-618	275	113	�	�	PROPN
fuelectenerg-618	275	114	dx1	dx1	PROPN
fuelectenerg-618	275	115	dx2	dx2	PROPN
fuelectenerg-618	275	116	�	�	PROPN
fuelectenerg-618	275	117	�	�	PROPN
fuelectenerg-618	275	118	�	�	PROPN
fuelectenerg-618	275	119	�	�	PROPN
fuelectenerg-618	275	120	�	�	PROPN
fuelectenerg-618	275	121	�	�	PROPN
fuelectenerg-618	275	122	�	�	PROPN
fuelectenerg-618	275	123	�	�	PROPN
fuelectenerg-618	275	124	�	�	PROPN
fuelectenerg-618	275	125	�	�	PROPN
fuelectenerg-618	275	126	�	�	PROPN
fuelectenerg-618	275	127	�	�	PROPN
fuelectenerg-618	275	128	�	�	PROPN
fuelectenerg-618	275	129	�	�	PROPN
fuelectenerg-618	275	130	�	�	PROPN
fuelectenerg-618	275	131	�	�	PROPN
fuelectenerg-618	275	132	�	�	PROPN
fuelectenerg-618	275	133	�	�	PROPN
fuelectenerg-618	275	134	00	00	NUM
fuelectenerg-618	275	135	�	�	PROPN
fuelectenerg-618	275	136	�	�	PROPN
fuelectenerg-618	275	137	�	�	PROPN
fuelectenerg-618	275	138	�	�	PROPN
fuelectenerg-618	275	139	dx1	dx1	PROPN
fuelectenerg-618	275	140	dx2	dx2	PROPN
fuelectenerg-618	275	141	�	�	PROPN
fuelectenerg-618	275	142	�	�	PROPN
fuelectenerg-618	275	143	�	�	PROPN
fuelectenerg-618	275	144	�	�	PROPN
fuelectenerg-618	275	145	�	�	PROPN
fuelectenerg-618	275	146	�	�	PROPN
fuelectenerg-618	275	147	�	�	PROPN
fuelectenerg-618	275	148	�	�	PROPN
fuelectenerg-618	275	149	�	�	PROPN
fuelectenerg-618	275	150	�	�	PROPN
fuelectenerg-618	275	151	�	�	PROPN
fuelectenerg-618	275	152	�	�	PROPN
fuelectenerg-618	275	153	�	�	PROPN
fuelectenerg-618	275	154	�	�	PROPN
fuelectenerg-618	275	155	�	�	PROPN
fuelectenerg-618	275	156	�	�	PROPN
fuelectenerg-618	275	157	�	�	PROPN
fuelectenerg-618	275	158	�	�	PROPN
fuelectenerg-618	275	159	10	10	NUM
fuelectenerg-618	275	160	�	�	PROPN
fuelectenerg-618	275	161	�	�	PROPN
fuelectenerg-618	275	162	�	�	PROPN
fuelectenerg-618	275	163	�	�	PROPN
fuelectenerg-618	275	164	�	�	PROPN
fuelectenerg-618	275	165	�	�	PROPN
fuelectenerg-618	275	166	�	�	PROPN
fuelectenerg-618	275	167	�	�	PROPN
fuelectenerg-618	275	168	�	�	PROPN
fuelectenerg-618	275	169	�	�	PROPN
fuelectenerg-618	275	170	�	�	PROPN
fuelectenerg-618	275	171	�	�	PROPN
fuelectenerg-618	275	172	�	�	PROPN
fuelectenerg-618	275	173	�	�	PROPN
fuelectenerg-618	275	174	�	�	PROPN
fuelectenerg-618	275	175	�	�	PROPN
fuelectenerg-618	275	176	�	�	PROPN
fuelectenerg-618	275	177	�	�	PROPN
fuelectenerg-618	275	178	�	�	PROPN
fuelectenerg-618	275	179	�	�	PROPN
fuelectenerg-618	275	180	�	�	PROPN
fuelectenerg-618	275	181	�	�	PROPN
fuelectenerg-618	275	182	�	�	PROPN
fuelectenerg-618	275	183	(	(	PUNCT
fuelectenerg-618	275	184	x1,x2	x1,x2	PROPN
fuelectenerg-618	275	185	)	)	PUNCT
fuelectenerg-618	275	186	fig	fig	NOUN
fuelectenerg-618	275	187	.	.	PUNCT
fuelectenerg-618	276	1	3	3	X
fuelectenerg-618	276	2	.	.	X
fuelectenerg-618	276	3	values	value	NOUN
fuelectenerg-618	276	4	of	of	ADP
fuelectenerg-618	276	5	the	the	DET
fuelectenerg-618	276	6	function	function	NOUN
fuelectenerg-618	276	7	g(x1,x2	g(x1,x2	NOUN
fuelectenerg-618	276	8	)	)	PUNCT
fuelectenerg-618	276	9	=	=	SYM
fuelectenerg-618	277	1	x1	x1	PROPN
fuelectenerg-618	277	2	∨	∨	NUM
fuelectenerg-618	277	3	x2	x2	PROPN
fuelectenerg-618	277	4	and	and	CCONJ
fuelectenerg-618	277	5	their	their	PRON
fuelectenerg-618	277	6	simple	simple	ADJ
fuelectenerg-618	277	7	and	and	CCONJ
fuelectenerg-618	277	8	vectorial	vectorial	ADJ
fuelectenerg-618	277	9	derivatives	derivative	NOUN
fuelectenerg-618	277	10	for	for	ADP
fuelectenerg-618	277	11	(	(	PUNCT
fuelectenerg-618	277	12	x1,x2	x1,x2	PROPN
fuelectenerg-618	277	13	)	)	PUNCT
fuelectenerg-618	278	1	=	=	PUNCT
fuelectenerg-618	278	2	(	(	PUNCT
fuelectenerg-618	278	3	1,1	1,1	NUM
fuelectenerg-618	278	4	)	)	PUNCT
fuelectenerg-618	278	5	.	.	PUNCT
fuelectenerg-618	279	1	3	3	X
fuelectenerg-618	279	2	.	.	X
fuelectenerg-618	279	3	∇g(x	∇g(x	NOUN
fuelectenerg-618	279	4	)	)	PUNCT
fuelectenerg-618	280	1	=	=	SYM
fuelectenerg-618	280	2	(	(	PUNCT
fuelectenerg-618	280	3	g(x	g(x	NOUN
fuelectenerg-618	280	4	)	)	PUNCT
fuelectenerg-618	280	5	,	,	PUNCT
fuelectenerg-618	280	6	∂g(x	∂g(x	PROPN
fuelectenerg-618	280	7	)	)	PUNCT
fuelectenerg-618	281	1	∂x1	∂x1	NOUN
fuelectenerg-618	281	2	,	,	PUNCT
fuelectenerg-618	281	3	∂g(x	∂g(x	NOUN
fuelectenerg-618	281	4	)	)	PUNCT
fuelectenerg-618	281	5	∂x2	∂x2	NOUN
fuelectenerg-618	281	6	,	,	PUNCT
fuelectenerg-618	281	7	.	.	PUNCT
fuelectenerg-618	281	8	.	.	PUNCT
fuelectenerg-618	281	9	.	.	PUNCT
fuelectenerg-618	282	1	,	,	PUNCT
fuelectenerg-618	282	2	∂g(x	∂g(x	NOUN
fuelectenerg-618	282	3	)	)	PUNCT
fuelectenerg-618	282	4	∂x	∂x	PROPN
fuelectenerg-618	282	5	)	)	PUNCT
fuelectenerg-618	283	1	(	(	PUNCT
fuelectenerg-618	283	2	22	22	NUM
fuelectenerg-618	283	3	)	)	PUNCT
fuelectenerg-618	283	4	the	the	DET
fuelectenerg-618	283	5	local	local	ADJ
fuelectenerg-618	283	6	solutions	solution	NOUN
fuelectenerg-618	283	7	(	(	PUNCT
fuelectenerg-618	283	8	20	20	NUM
fuelectenerg-618	283	9	)	)	PUNCT
fuelectenerg-618	283	10	are	be	AUX
fuelectenerg-618	283	11	the	the	DET
fuelectenerg-618	283	12	key	key	NOUN
fuelectenerg-618	283	13	to	to	PART
fuelectenerg-618	283	14	solve	solve	VERB
fuelectenerg-618	283	15	a	a	DET
fuelectenerg-618	283	16	bde	bde	NOUN
fuelectenerg-618	283	17	.	.	PUNCT
fuelectenerg-618	284	1	the	the	DET
fuelectenerg-618	284	2	values	value	NOUN
fuelectenerg-618	284	3	of	of	ADP
fuelectenerg-618	284	4	the	the	DET
fuelectenerg-618	284	5	simple	simple	ADJ
fuelectenerg-618	284	6	and	and	CCONJ
fuelectenerg-618	284	7	vectorial	vectorial	ADJ
fuelectenerg-618	284	8	derivatives	derivative	NOUN
fuelectenerg-618	284	9	in	in	ADP
fuelectenerg-618	284	10	a	a	DET
fuelectenerg-618	284	11	single	single	ADJ
fuelectenerg-618	284	12	selected	select	VERB
fuelectenerg-618	284	13	point	point	NOUN
fuelectenerg-618	284	14	of	of	ADP
fuelectenerg-618	284	15	the	the	DET
fuelectenerg-618	284	16	boolean	boolean	ADJ
fuelectenerg-618	284	17	space	space	NOUN
fuelectenerg-618	284	18	specify	specify	VERB
fuelectenerg-618	284	19	the	the	DET
fuelectenerg-618	284	20	function	function	NOUN
fuelectenerg-618	284	21	values	value	NOUN
fuelectenerg-618	284	22	in	in	ADP
fuelectenerg-618	284	23	all	all	DET
fuelectenerg-618	284	24	other	other	ADJ
fuelectenerg-618	284	25	points	point	NOUN
fuelectenerg-618	284	26	of	of	ADP
fuelectenerg-618	284	27	this	this	DET
fuelectenerg-618	284	28	space	space	NOUN
fuelectenerg-618	284	29	.	.	PUNCT
fuelectenerg-618	285	1	figure	figure	NOUN
fuelectenerg-618	285	2	3	3	NUM
fuelectenerg-618	285	3	shows	show	VERB
fuelectenerg-618	285	4	the	the	DET
fuelectenerg-618	285	5	function	function	NOUN
fuelectenerg-618	285	6	g(x1,x2	g(x1,x2	NOUN
fuelectenerg-618	285	7	)	)	PUNCT
fuelectenerg-618	285	8	=	=	SYM
fuelectenerg-618	286	1	x1∨x2	x1∨x2	PROPN
fuelectenerg-618	286	2	where	where	SCONJ
fuelectenerg-618	286	3	function	function	NOUN
fuelectenerg-618	286	4	values	value	NOUN
fuelectenerg-618	286	5	1	1	NUM
fuelectenerg-618	286	6	are	be	AUX
fuelectenerg-618	286	7	indicated	indicate	VERB
fuelectenerg-618	286	8	by	by	ADP
fuelectenerg-618	286	9	double	double	ADJ
fuelectenerg-618	286	10	circles	circle	NOUN
fuelectenerg-618	286	11	,	,	PUNCT
fuelectenerg-618	286	12	values	value	NOUN
fuelectenerg-618	286	13	1	1	NUM
fuelectenerg-618	286	14	of	of	ADP
fuelectenerg-618	286	15	derivatives	derivative	NOUN
fuelectenerg-618	286	16	are	be	AUX
fuelectenerg-618	286	17	indicated	indicate	VERB
fuelectenerg-618	286	18	by	by	ADP
fuelectenerg-618	286	19	solid	solid	ADJ
fuelectenerg-618	286	20	arrows	arrow	NOUN
fuelectenerg-618	286	21	,	,	PUNCT
fuelectenerg-618	286	22	and	and	CCONJ
fuelectenerg-618	286	23	values	value	NOUN
fuelectenerg-618	286	24	0	0	NUM
fuelectenerg-618	286	25	of	of	ADP
fuelectenerg-618	286	26	derivatives	derivative	NOUN
fuelectenerg-618	286	27	are	be	AUX
fuelectenerg-618	286	28	indicated	indicate	VERB
fuelectenerg-618	286	29	by	by	ADP
fuelectenerg-618	286	30	dotted	dotted	ADJ
fuelectenerg-618	286	31	arrows	arrow	NOUN
fuelectenerg-618	286	32	.	.	PUNCT
fuelectenerg-618	287	1	example	example	NOUN
fuelectenerg-618	287	2	2	2	NUM
fuelectenerg-618	287	3	.	.	X
fuelectenerg-618	288	1	assume	assume	VERB
fuelectenerg-618	288	2	,	,	PUNCT
fuelectenerg-618	288	3	we	we	PRON
fuelectenerg-618	288	4	know	know	VERB
fuelectenerg-618	288	5	the	the	DET
fuelectenerg-618	288	6	local	local	ADJ
fuelectenerg-618	288	7	solution	solution	NOUN
fuelectenerg-618	288	8	for	for	ADP
fuelectenerg-618	288	9	(	(	PUNCT
fuelectenerg-618	288	10	x1,x2	x1,x2	PROPN
fuelectenerg-618	288	11	)	)	PUNCT
fuelectenerg-618	289	1	=	=	PUNCT
fuelectenerg-618	289	2	(	(	PUNCT
fuelectenerg-618	289	3	1,1	1,1	NUM
fuelectenerg-618	289	4	)	)	PUNCT
fuelectenerg-618	289	5	as	as	SCONJ
fuelectenerg-618	289	6	depicted	depict	VERB
fuelectenerg-618	289	7	in	in	ADP
fuelectenerg-618	289	8	figure	figure	NOUN
fuelectenerg-618	289	9	3	3	NUM
fuelectenerg-618	289	10	.	.	PUNCT
fuelectenerg-618	290	1	then	then	ADV
fuelectenerg-618	290	2	we	we	PRON
fuelectenerg-618	290	3	can	can	AUX
fuelectenerg-618	290	4	conclude	conclude	VERB
fuelectenerg-618	290	5	:	:	PUNCT
fuelectenerg-618	290	6	•	•	NOUN
fuelectenerg-618	290	7	due	due	ADP
fuelectenerg-618	290	8	to	to	ADP
fuelectenerg-618	290	9	the	the	DET
fuelectenerg-618	290	10	known	know	VERB
fuelectenerg-618	290	11	point	point	NOUN
fuelectenerg-618	290	12	:	:	PUNCT
fuelectenerg-618	290	13	g(x)|(x1,x2)=(11	g(x)|(x1,x2)=(11	X
fuelectenerg-618	290	14	)	)	PUNCT
fuelectenerg-618	290	15	=	=	SYM
fuelectenerg-618	290	16	1	1	NUM
fuelectenerg-618	290	17	→	→	SYM
fuelectenerg-618	290	18	g(1,1	g(1,1	NOUN
fuelectenerg-618	290	19	)	)	PUNCT
fuelectenerg-618	290	20	=	=	SYM
fuelectenerg-618	290	21	1	1	NUM
fuelectenerg-618	290	22	,	,	PUNCT
fuelectenerg-618	290	23	•	•	NOUN
fuelectenerg-618	290	24	due	due	ADP
fuelectenerg-618	290	25	to	to	ADP
fuelectenerg-618	290	26	the	the	DET
fuelectenerg-618	290	27	direction	direction	NOUN
fuelectenerg-618	290	28	of	of	ADP
fuelectenerg-618	290	29	change	change	NOUN
fuelectenerg-618	290	30	dx1	dx1	PROPN
fuelectenerg-618	290	31	dx2	dx2	PROPN
fuelectenerg-618	290	32	:	:	PUNCT
fuelectenerg-618	290	33	∂g(x	∂g(x	PROPN
fuelectenerg-618	290	34	)	)	PUNCT
fuelectenerg-618	291	1	∂x1	∂x1	PROPN
fuelectenerg-618	291	2	∣	∣	ADJ
fuelectenerg-618	291	3	∣	∣	ADJ
fuelectenerg-618	291	4	∣	∣	PROPN
fuelectenerg-618	291	5	(	(	PUNCT
fuelectenerg-618	291	6	x1,x2)=(11	x1,x2)=(11	NUM
fuelectenerg-618	291	7	)	)	PUNCT
fuelectenerg-618	291	8	=	=	SYM
fuelectenerg-618	291	9	1	1	NUM
fuelectenerg-618	291	10	→	→	SYM
fuelectenerg-618	291	11	g(0,1	g(0,1	NOUN
fuelectenerg-618	291	12	)	)	PUNCT
fuelectenerg-618	292	1	=	=	SYM
fuelectenerg-618	292	2	0	0	NUM
fuelectenerg-618	292	3	,	,	PUNCT
fuelectenerg-618	292	4	•	•	NOUN
fuelectenerg-618	292	5	due	due	ADP
fuelectenerg-618	292	6	to	to	ADP
fuelectenerg-618	292	7	the	the	DET
fuelectenerg-618	292	8	direction	direction	NOUN
fuelectenerg-618	292	9	of	of	ADP
fuelectenerg-618	292	10	change	change	NOUN
fuelectenerg-618	292	11	dx1	dx1	PROPN
fuelectenerg-618	292	12	dx2	dx2	PROPN
fuelectenerg-618	292	13	:	:	PUNCT
fuelectenerg-618	292	14	∂g(x	∂g(x	PROPN
fuelectenerg-618	292	15	)	)	PUNCT
fuelectenerg-618	292	16	∂x2	∂x2	PROPN
fuelectenerg-618	292	17	∣	∣	ADJ
fuelectenerg-618	292	18	∣	∣	ADJ
fuelectenerg-618	292	19	∣	∣	PROPN
fuelectenerg-618	292	20	(	(	PUNCT
fuelectenerg-618	292	21	x1,x2)=(11	x1,x2)=(11	NUM
fuelectenerg-618	292	22	)	)	PUNCT
fuelectenerg-618	293	1	=	=	SYM
fuelectenerg-618	293	2	0	0	PUNCT
fuelectenerg-618	293	3	→	→	SYM
fuelectenerg-618	293	4	g(1,0	g(1,0	PROPN
fuelectenerg-618	293	5	)	)	PUNCT
fuelectenerg-618	293	6	=	=	SYM
fuelectenerg-618	293	7	1	1	NUM
fuelectenerg-618	293	8	,	,	PUNCT
fuelectenerg-618	293	9	and	and	CCONJ
fuelectenerg-618	293	10	•	•	ADP
fuelectenerg-618	293	11	due	due	ADP
fuelectenerg-618	293	12	to	to	ADP
fuelectenerg-618	293	13	the	the	DET
fuelectenerg-618	293	14	direction	direction	NOUN
fuelectenerg-618	293	15	of	of	ADP
fuelectenerg-618	293	16	change	change	NOUN
fuelectenerg-618	293	17	dx1	dx1	PROPN
fuelectenerg-618	293	18	dx2	dx2	PROPN
fuelectenerg-618	293	19	:	:	PUNCT
fuelectenerg-618	293	20	∂g(x	∂g(x	PROPN
fuelectenerg-618	293	21	)	)	PUNCT
fuelectenerg-618	293	22	∂	∂	NUM
fuelectenerg-618	293	23	(	(	PUNCT
fuelectenerg-618	293	24	x1,x2	x1,x2	PROPN
fuelectenerg-618	293	25	)	)	PUNCT
fuelectenerg-618	293	26	∣	∣	ADJ
fuelectenerg-618	293	27	∣	∣	ADJ
fuelectenerg-618	293	28	∣	∣	PROPN
fuelectenerg-618	293	29	(	(	PUNCT
fuelectenerg-618	293	30	x1,x2)=(11	x1,x2)=(11	NUM
fuelectenerg-618	293	31	)	)	PUNCT
fuelectenerg-618	293	32	=	=	SYM
fuelectenerg-618	293	33	0	0	NUM
fuelectenerg-618	293	34	→	→	SYM
fuelectenerg-618	293	35	g(0,0	g(0,0	NOUN
fuelectenerg-618	293	36	)	)	PUNCT
fuelectenerg-618	293	37	=	=	SYM
fuelectenerg-618	293	38	1	1	NUM
fuelectenerg-618	293	39	.	.	PUNCT
fuelectenerg-618	294	1	hence	hence	ADV
fuelectenerg-618	294	2	,	,	PUNCT
fuelectenerg-618	294	3	a	a	DET
fuelectenerg-618	294	4	possible	possible	ADJ
fuelectenerg-618	294	5	solution	solution	NOUN
fuelectenerg-618	294	6	function	function	NOUN
fuelectenerg-618	294	7	g(x	g(x	NOUN
fuelectenerg-618	294	8	)	)	PUNCT
fuelectenerg-618	295	1	=	=	SYM
fuelectenerg-618	295	2	x1	x1	PROPN
fuelectenerg-618	295	3	∨x2	∨x2	NOUN
fuelectenerg-618	295	4	could	could	AUX
fuelectenerg-618	295	5	be	be	AUX
fuelectenerg-618	295	6	reconstructed	reconstruct	VERB
fuelectenerg-618	295	7	based	base	VERB
fuelectenerg-618	295	8	on	on	ADP
fuelectenerg-618	295	9	the	the	DET
fuelectenerg-618	295	10	knowledge	knowledge	NOUN
fuelectenerg-618	295	11	of	of	ADP
fuelectenerg-618	295	12	the	the	DET
fuelectenerg-618	295	13	local	local	ADJ
fuelectenerg-618	295	14	solution	solution	NOUN
fuelectenerg-618	295	15	in	in	ADP
fuelectenerg-618	295	16	a	a	DET
fuelectenerg-618	295	17	single	single	ADJ
fuelectenerg-618	295	18	point	point	NOUN
fuelectenerg-618	295	19	of	of	ADP
fuelectenerg-618	295	20	the	the	DET
fuelectenerg-618	295	21	boolean	boolean	ADJ
fuelectenerg-618	295	22	space	space	NOUN
fuelectenerg-618	295	23	.	.	PUNCT
fuelectenerg-618	296	1	the	the	DET
fuelectenerg-618	296	2	bde	bde	PROPN
fuelectenerg-618	296	3	(	(	PUNCT
fuelectenerg-618	296	4	19	19	NUM
fuelectenerg-618	296	5	)	)	PUNCT
fuelectenerg-618	296	6	contains	contain	VERB
fuelectenerg-618	296	7	all	all	DET
fuelectenerg-618	296	8	elements	element	NOUN
fuelectenerg-618	296	9	of	of	ADP
fuelectenerg-618	296	10	∇	∇	X
fuelectenerg-618	296	11	f	f	X
fuelectenerg-618	296	12	(	(	PUNCT
fuelectenerg-618	296	13	x	x	X
fuelectenerg-618	296	14	)	)	PUNCT
fuelectenerg-618	296	15	either	either	CCONJ
fuelectenerg-618	296	16	in	in	ADP
fuelectenerg-618	296	17	non	non	ADJ
fuelectenerg-618	296	18	-	-	ADJ
fuelectenerg-618	296	19	negated	negated	ADJ
fuelectenerg-618	296	20	or	or	CCONJ
fuelectenerg-618	296	21	negated	negate	VERB
fuelectenerg-618	296	22	form	form	NOUN
fuelectenerg-618	296	23	.	.	PUNCT
fuelectenerg-618	297	1	hence	hence	ADV
fuelectenerg-618	297	2	,	,	PUNCT
fuelectenerg-618	297	3	all	all	DET
fuelectenerg-618	297	4	these	these	DET
fuelectenerg-618	297	5	elements	element	NOUN
fuelectenerg-618	297	6	can	can	AUX
fuelectenerg-618	297	7	be	be	AUX
fuelectenerg-618	297	8	encoded	encode	VERB
fuelectenerg-618	297	9	by	by	ADP
fuelectenerg-618	297	10	boolean	boolean	ADJ
fuelectenerg-618	297	11	variables	variable	NOUN
fuelectenerg-618	297	12	ui	ui	ADV
fuelectenerg-618	297	13	as	as	SCONJ
fuelectenerg-618	297	14	shown	show	VERB
fuelectenerg-618	297	15	in	in	ADP
fuelectenerg-618	297	16	table	table	NOUN
fuelectenerg-618	297	17	2	2	NUM
fuelectenerg-618	297	18	.	.	X
fuelectenerg-618	297	19	58	58	NUM
fuelectenerg-618	297	20	b.	b.	PROPN
fuelectenerg-618	297	21	steinbach	steinbach	PROPN
fuelectenerg-618	297	22	,	,	PUNCT
fuelectenerg-618	297	23	c.	c.	PROPN
fuelectenerg-618	297	24	posthoff	posthoff	PROPN
fuelectenerg-618	297	25	boolean	boolean	ADJ
fuelectenerg-618	297	26	differential	differential	ADJ
fuelectenerg-618	297	27	equations	equation	NOUN
fuelectenerg-618	297	28	–	–	PUNCT
fuelectenerg-618	297	29	a	a	DET
fuelectenerg-618	297	30	common	common	ADJ
fuelectenerg-618	297	31	model	model	NOUN
fuelectenerg-618	297	32	for	for	ADP
fuelectenerg-618	297	33	classes	class	NOUN
fuelectenerg-618	297	34	,	,	PUNCT
fuelectenerg-618	297	35	lattices	lattice	NOUN
fuelectenerg-618	297	36	...	...	PUNCT
fuelectenerg-618	297	37	59	59	NUM
fuelectenerg-618	297	38	108	108	NUM
fuelectenerg-618	297	39	b.	b.	NOUN
fuelectenerg-618	297	40	steinbach	steinbach	PROPN
fuelectenerg-618	297	41	and	and	CCONJ
fuelectenerg-618	297	42	c.	c.	PROPN
fuelectenerg-618	297	43	posthoff	posthoff	PROPN
fuelectenerg-618	297	44	�	�	PROPN
fuelectenerg-618	297	45	�	�	PROPN
fuelectenerg-618	297	46	�	�	PROPN
fuelectenerg-618	297	47	�	�	PROPN
fuelectenerg-618	297	48	�	�	PROPN
fuelectenerg-618	297	49	�	�	PROPN
fuelectenerg-618	297	50	�	�	PROPN
fuelectenerg-618	297	51	�	�	PROPN
fuelectenerg-618	297	52	01	01	NUM
fuelectenerg-618	297	53	dx1	dx1	PROPN
fuelectenerg-618	297	54	dx2	dx2	PROPN
fuelectenerg-618	297	55	�	�	PROPN
fuelectenerg-618	297	56	�	�	PROPN
fuelectenerg-618	297	57	dx1	dx1	PROPN
fuelectenerg-618	297	58	dx2	dx2	PROPN
fuelectenerg-618	297	59	�	�	PROPN
fuelectenerg-618	297	60	�	�	PROPN
fuelectenerg-618	297	61	dx1	dx1	PROPN
fuelectenerg-618	297	62	dx2	dx2	PROPN
fuelectenerg-618	297	63	�	�	PROPN
fuelectenerg-618	297	64	�	�	PROPN
fuelectenerg-618	297	65	�	�	PROPN
fuelectenerg-618	297	66	�	�	PROPN
fuelectenerg-618	297	67	�	�	PROPN
fuelectenerg-618	297	68	�	�	PROPN
fuelectenerg-618	297	69	�	�	PROPN
fuelectenerg-618	297	70	�	�	PROPN
fuelectenerg-618	297	71	�	�	PROPN
fuelectenerg-618	297	72	�	�	PROPN
fuelectenerg-618	297	73	�	�	PROPN
fuelectenerg-618	297	74	�	�	PROPN
fuelectenerg-618	297	75	�	�	PROPN
fuelectenerg-618	297	76	�	�	PROPN
fuelectenerg-618	297	77	�	�	PROPN
fuelectenerg-618	297	78	�	�	PROPN
fuelectenerg-618	297	79	�	�	PROPN
fuelectenerg-618	297	80	�	�	PROPN
fuelectenerg-618	297	81	�	�	PROPN
fuelectenerg-618	297	82	�	�	PROPN
fuelectenerg-618	297	83	�	�	PROPN
fuelectenerg-618	297	84	�	�	PROPN
fuelectenerg-618	297	85	�	�	PROPN
fuelectenerg-618	297	86	�	�	PROPN
fuelectenerg-618	297	87	�	�	PROPN
fuelectenerg-618	297	88	�	�	PROPN
fuelectenerg-618	297	89	�	�	PROPN
fuelectenerg-618	297	90	�	�	PROPN
fuelectenerg-618	297	91	�	�	PROPN
fuelectenerg-618	297	92	�	�	PROPN
fuelectenerg-618	297	93	�	�	PROPN
fuelectenerg-618	297	94	�	�	PROPN
fuelectenerg-618	297	95	�	�	PROPN
fuelectenerg-618	297	96	�	�	PROPN
fuelectenerg-618	297	97	�	�	PROPN
fuelectenerg-618	297	98	11	11	NUM
fuelectenerg-618	297	99	�	�	PROPN
fuelectenerg-618	297	100	�	�	PROPN
fuelectenerg-618	297	101	dx1	dx1	PROPN
fuelectenerg-618	297	102	dx2	dx2	PROPN
fuelectenerg-618	297	103	�	�	PROPN
fuelectenerg-618	297	104	�	�	PROPN
fuelectenerg-618	297	105	dx1	dx1	PROPN
fuelectenerg-618	297	106	dx2	dx2	PROPN
fuelectenerg-618	297	107	�	�	PROPN
fuelectenerg-618	297	108	�	�	PROPN
fuelectenerg-618	297	109	�	�	PROPN
fuelectenerg-618	297	110	�	�	PROPN
fuelectenerg-618	297	111	�	�	PROPN
fuelectenerg-618	297	112	�	�	PROPN
fuelectenerg-618	297	113	�	�	PROPN
fuelectenerg-618	297	114	�	�	PROPN
fuelectenerg-618	297	115	�	�	PROPN
fuelectenerg-618	297	116	�	�	PROPN
fuelectenerg-618	297	117	�	�	PROPN
fuelectenerg-618	297	118	�	�	PROPN
fuelectenerg-618	297	119	�	�	PROPN
fuelectenerg-618	297	120	�	�	PROPN
fuelectenerg-618	297	121	�	�	PROPN
fuelectenerg-618	297	122	�	�	PROPN
fuelectenerg-618	297	123	�	�	PROPN
fuelectenerg-618	297	124	�	�	PROPN
fuelectenerg-618	297	125	00	00	NUM
fuelectenerg-618	297	126	�	�	PROPN
fuelectenerg-618	297	127	�	�	PROPN
fuelectenerg-618	297	128	�	�	PROPN
fuelectenerg-618	297	129	�	�	PROPN
fuelectenerg-618	297	130	dx1	dx1	PROPN
fuelectenerg-618	297	131	dx2	dx2	PROPN
fuelectenerg-618	297	132	�	�	PROPN
fuelectenerg-618	297	133	�	�	PROPN
fuelectenerg-618	297	134	�	�	PROPN
fuelectenerg-618	297	135	�	�	PROPN
fuelectenerg-618	297	136	�	�	PROPN
fuelectenerg-618	297	137	�	�	PROPN
fuelectenerg-618	297	138	�	�	PROPN
fuelectenerg-618	297	139	�	�	PROPN
fuelectenerg-618	297	140	�	�	PROPN
fuelectenerg-618	297	141	�	�	PROPN
fuelectenerg-618	297	142	�	�	PROPN
fuelectenerg-618	297	143	�	�	PROPN
fuelectenerg-618	297	144	�	�	PROPN
fuelectenerg-618	297	145	�	�	PROPN
fuelectenerg-618	297	146	�	�	PROPN
fuelectenerg-618	297	147	�	�	PROPN
fuelectenerg-618	297	148	�	�	PROPN
fuelectenerg-618	297	149	�	�	PROPN
fuelectenerg-618	297	150	10	10	NUM
fuelectenerg-618	297	151	�	�	PROPN
fuelectenerg-618	297	152	�	�	PROPN
fuelectenerg-618	297	153	�	�	PROPN
fuelectenerg-618	297	154	�	�	PROPN
fuelectenerg-618	297	155	�	�	PROPN
fuelectenerg-618	297	156	�	�	PROPN
fuelectenerg-618	297	157	�	�	PROPN
fuelectenerg-618	297	158	�	�	PROPN
fuelectenerg-618	297	159	�	�	PROPN
fuelectenerg-618	297	160	�	�	PROPN
fuelectenerg-618	297	161	�	�	PROPN
fuelectenerg-618	297	162	�	�	PROPN
fuelectenerg-618	297	163	�	�	PROPN
fuelectenerg-618	297	164	�	�	PROPN
fuelectenerg-618	297	165	�	�	PROPN
fuelectenerg-618	297	166	�	�	PROPN
fuelectenerg-618	297	167	�	�	PROPN
fuelectenerg-618	297	168	�	�	PROPN
fuelectenerg-618	297	169	�	�	PROPN
fuelectenerg-618	297	170	�	�	PROPN
fuelectenerg-618	297	171	�	�	PROPN
fuelectenerg-618	297	172	�	�	PROPN
fuelectenerg-618	297	173	�	�	PROPN
fuelectenerg-618	297	174	(	(	PUNCT
fuelectenerg-618	297	175	x1,x2	x1,x2	PROPN
fuelectenerg-618	297	176	)	)	PUNCT
fuelectenerg-618	297	177	fig	fig	NOUN
fuelectenerg-618	297	178	.	.	PUNCT
fuelectenerg-618	298	1	3	3	X
fuelectenerg-618	298	2	.	.	X
fuelectenerg-618	298	3	values	value	NOUN
fuelectenerg-618	298	4	of	of	ADP
fuelectenerg-618	298	5	the	the	DET
fuelectenerg-618	298	6	function	function	NOUN
fuelectenerg-618	298	7	g(x1,x2	g(x1,x2	NOUN
fuelectenerg-618	298	8	)	)	PUNCT
fuelectenerg-618	298	9	=	=	SYM
fuelectenerg-618	299	1	x1	x1	PROPN
fuelectenerg-618	299	2	∨	∨	NUM
fuelectenerg-618	299	3	x2	x2	PROPN
fuelectenerg-618	299	4	and	and	CCONJ
fuelectenerg-618	299	5	their	their	PRON
fuelectenerg-618	299	6	simple	simple	ADJ
fuelectenerg-618	299	7	and	and	CCONJ
fuelectenerg-618	299	8	vectorial	vectorial	ADJ
fuelectenerg-618	299	9	derivatives	derivative	NOUN
fuelectenerg-618	299	10	for	for	ADP
fuelectenerg-618	299	11	(	(	PUNCT
fuelectenerg-618	299	12	x1,x2	x1,x2	PROPN
fuelectenerg-618	299	13	)	)	PUNCT
fuelectenerg-618	300	1	=	=	PUNCT
fuelectenerg-618	300	2	(	(	PUNCT
fuelectenerg-618	300	3	1,1	1,1	NUM
fuelectenerg-618	300	4	)	)	PUNCT
fuelectenerg-618	300	5	.	.	PUNCT
fuelectenerg-618	301	1	3	3	X
fuelectenerg-618	301	2	.	.	X
fuelectenerg-618	301	3	∇g(x	∇g(x	NOUN
fuelectenerg-618	301	4	)	)	PUNCT
fuelectenerg-618	302	1	=	=	SYM
fuelectenerg-618	302	2	(	(	PUNCT
fuelectenerg-618	302	3	g(x	g(x	NOUN
fuelectenerg-618	302	4	)	)	PUNCT
fuelectenerg-618	302	5	,	,	PUNCT
fuelectenerg-618	302	6	∂g(x	∂g(x	PROPN
fuelectenerg-618	302	7	)	)	PUNCT
fuelectenerg-618	303	1	∂x1	∂x1	NOUN
fuelectenerg-618	303	2	,	,	PUNCT
fuelectenerg-618	303	3	∂g(x	∂g(x	NOUN
fuelectenerg-618	303	4	)	)	PUNCT
fuelectenerg-618	303	5	∂x2	∂x2	NOUN
fuelectenerg-618	303	6	,	,	PUNCT
fuelectenerg-618	303	7	.	.	PUNCT
fuelectenerg-618	303	8	.	.	PUNCT
fuelectenerg-618	303	9	.	.	PUNCT
fuelectenerg-618	304	1	,	,	PUNCT
fuelectenerg-618	304	2	∂g(x	∂g(x	NOUN
fuelectenerg-618	304	3	)	)	PUNCT
fuelectenerg-618	304	4	∂x	∂x	PROPN
fuelectenerg-618	304	5	)	)	PUNCT
fuelectenerg-618	305	1	(	(	PUNCT
fuelectenerg-618	305	2	22	22	NUM
fuelectenerg-618	305	3	)	)	PUNCT
fuelectenerg-618	305	4	the	the	DET
fuelectenerg-618	305	5	local	local	ADJ
fuelectenerg-618	305	6	solutions	solution	NOUN
fuelectenerg-618	305	7	(	(	PUNCT
fuelectenerg-618	305	8	20	20	NUM
fuelectenerg-618	305	9	)	)	PUNCT
fuelectenerg-618	305	10	are	be	AUX
fuelectenerg-618	305	11	the	the	DET
fuelectenerg-618	305	12	key	key	NOUN
fuelectenerg-618	305	13	to	to	PART
fuelectenerg-618	305	14	solve	solve	VERB
fuelectenerg-618	305	15	a	a	DET
fuelectenerg-618	305	16	bde	bde	NOUN
fuelectenerg-618	305	17	.	.	PUNCT
fuelectenerg-618	306	1	the	the	DET
fuelectenerg-618	306	2	values	value	NOUN
fuelectenerg-618	306	3	of	of	ADP
fuelectenerg-618	306	4	the	the	DET
fuelectenerg-618	306	5	simple	simple	ADJ
fuelectenerg-618	306	6	and	and	CCONJ
fuelectenerg-618	306	7	vectorial	vectorial	ADJ
fuelectenerg-618	306	8	derivatives	derivative	NOUN
fuelectenerg-618	306	9	in	in	ADP
fuelectenerg-618	306	10	a	a	DET
fuelectenerg-618	306	11	single	single	ADJ
fuelectenerg-618	306	12	selected	select	VERB
fuelectenerg-618	306	13	point	point	NOUN
fuelectenerg-618	306	14	of	of	ADP
fuelectenerg-618	306	15	the	the	DET
fuelectenerg-618	306	16	boolean	boolean	ADJ
fuelectenerg-618	306	17	space	space	NOUN
fuelectenerg-618	306	18	specify	specify	VERB
fuelectenerg-618	306	19	the	the	DET
fuelectenerg-618	306	20	function	function	NOUN
fuelectenerg-618	306	21	values	value	NOUN
fuelectenerg-618	306	22	in	in	ADP
fuelectenerg-618	306	23	all	all	DET
fuelectenerg-618	306	24	other	other	ADJ
fuelectenerg-618	306	25	points	point	NOUN
fuelectenerg-618	306	26	of	of	ADP
fuelectenerg-618	306	27	this	this	DET
fuelectenerg-618	306	28	space	space	NOUN
fuelectenerg-618	306	29	.	.	PUNCT
fuelectenerg-618	307	1	figure	figure	NOUN
fuelectenerg-618	307	2	3	3	NUM
fuelectenerg-618	307	3	shows	show	VERB
fuelectenerg-618	307	4	the	the	DET
fuelectenerg-618	307	5	function	function	NOUN
fuelectenerg-618	307	6	g(x1,x2	g(x1,x2	NOUN
fuelectenerg-618	307	7	)	)	PUNCT
fuelectenerg-618	307	8	=	=	SYM
fuelectenerg-618	308	1	x1∨x2	x1∨x2	PROPN
fuelectenerg-618	308	2	where	where	SCONJ
fuelectenerg-618	308	3	function	function	NOUN
fuelectenerg-618	308	4	values	value	NOUN
fuelectenerg-618	308	5	1	1	NUM
fuelectenerg-618	308	6	are	be	AUX
fuelectenerg-618	308	7	indicated	indicate	VERB
fuelectenerg-618	308	8	by	by	ADP
fuelectenerg-618	308	9	double	double	ADJ
fuelectenerg-618	308	10	circles	circle	NOUN
fuelectenerg-618	308	11	,	,	PUNCT
fuelectenerg-618	308	12	values	value	NOUN
fuelectenerg-618	308	13	1	1	NUM
fuelectenerg-618	308	14	of	of	ADP
fuelectenerg-618	308	15	derivatives	derivative	NOUN
fuelectenerg-618	308	16	are	be	AUX
fuelectenerg-618	308	17	indicated	indicate	VERB
fuelectenerg-618	308	18	by	by	ADP
fuelectenerg-618	308	19	solid	solid	ADJ
fuelectenerg-618	308	20	arrows	arrow	NOUN
fuelectenerg-618	308	21	,	,	PUNCT
fuelectenerg-618	308	22	and	and	CCONJ
fuelectenerg-618	308	23	values	value	NOUN
fuelectenerg-618	308	24	0	0	NUM
fuelectenerg-618	308	25	of	of	ADP
fuelectenerg-618	308	26	derivatives	derivative	NOUN
fuelectenerg-618	308	27	are	be	AUX
fuelectenerg-618	308	28	indicated	indicate	VERB
fuelectenerg-618	308	29	by	by	ADP
fuelectenerg-618	308	30	dotted	dotted	ADJ
fuelectenerg-618	308	31	arrows	arrow	NOUN
fuelectenerg-618	308	32	.	.	PUNCT
fuelectenerg-618	309	1	example	example	NOUN
fuelectenerg-618	309	2	2	2	NUM
fuelectenerg-618	309	3	.	.	X
fuelectenerg-618	310	1	assume	assume	VERB
fuelectenerg-618	310	2	,	,	PUNCT
fuelectenerg-618	310	3	we	we	PRON
fuelectenerg-618	310	4	know	know	VERB
fuelectenerg-618	310	5	the	the	DET
fuelectenerg-618	310	6	local	local	ADJ
fuelectenerg-618	310	7	solution	solution	NOUN
fuelectenerg-618	310	8	for	for	ADP
fuelectenerg-618	310	9	(	(	PUNCT
fuelectenerg-618	310	10	x1,x2	x1,x2	PROPN
fuelectenerg-618	310	11	)	)	PUNCT
fuelectenerg-618	311	1	=	=	PUNCT
fuelectenerg-618	311	2	(	(	PUNCT
fuelectenerg-618	311	3	1,1	1,1	NUM
fuelectenerg-618	311	4	)	)	PUNCT
fuelectenerg-618	311	5	as	as	SCONJ
fuelectenerg-618	311	6	depicted	depict	VERB
fuelectenerg-618	311	7	in	in	ADP
fuelectenerg-618	311	8	figure	figure	NOUN
fuelectenerg-618	311	9	3	3	NUM
fuelectenerg-618	311	10	.	.	PUNCT
fuelectenerg-618	312	1	then	then	ADV
fuelectenerg-618	312	2	we	we	PRON
fuelectenerg-618	312	3	can	can	AUX
fuelectenerg-618	312	4	conclude	conclude	VERB
fuelectenerg-618	312	5	:	:	PUNCT
fuelectenerg-618	312	6	•	•	NOUN
fuelectenerg-618	312	7	due	due	ADP
fuelectenerg-618	312	8	to	to	ADP
fuelectenerg-618	312	9	the	the	DET
fuelectenerg-618	312	10	known	know	VERB
fuelectenerg-618	312	11	point	point	NOUN
fuelectenerg-618	312	12	:	:	PUNCT
fuelectenerg-618	312	13	g(x)|(x1,x2)=(11	g(x)|(x1,x2)=(11	X
fuelectenerg-618	312	14	)	)	PUNCT
fuelectenerg-618	312	15	=	=	SYM
fuelectenerg-618	312	16	1	1	NUM
fuelectenerg-618	312	17	→	→	SYM
fuelectenerg-618	312	18	g(1,1	g(1,1	NOUN
fuelectenerg-618	312	19	)	)	PUNCT
fuelectenerg-618	312	20	=	=	SYM
fuelectenerg-618	312	21	1	1	NUM
fuelectenerg-618	312	22	,	,	PUNCT
fuelectenerg-618	312	23	•	•	NOUN
fuelectenerg-618	312	24	due	due	ADP
fuelectenerg-618	312	25	to	to	ADP
fuelectenerg-618	312	26	the	the	DET
fuelectenerg-618	312	27	direction	direction	NOUN
fuelectenerg-618	312	28	of	of	ADP
fuelectenerg-618	312	29	change	change	NOUN
fuelectenerg-618	312	30	dx1	dx1	PROPN
fuelectenerg-618	312	31	dx2	dx2	PROPN
fuelectenerg-618	312	32	:	:	PUNCT
fuelectenerg-618	312	33	∂g(x	∂g(x	PROPN
fuelectenerg-618	312	34	)	)	PUNCT
fuelectenerg-618	313	1	∂x1	∂x1	PROPN
fuelectenerg-618	313	2	∣	∣	ADJ
fuelectenerg-618	313	3	∣	∣	ADJ
fuelectenerg-618	313	4	∣	∣	PROPN
fuelectenerg-618	313	5	(	(	PUNCT
fuelectenerg-618	313	6	x1,x2)=(11	x1,x2)=(11	NUM
fuelectenerg-618	313	7	)	)	PUNCT
fuelectenerg-618	313	8	=	=	SYM
fuelectenerg-618	313	9	1	1	NUM
fuelectenerg-618	313	10	→	→	SYM
fuelectenerg-618	313	11	g(0,1	g(0,1	NOUN
fuelectenerg-618	313	12	)	)	PUNCT
fuelectenerg-618	314	1	=	=	SYM
fuelectenerg-618	314	2	0	0	NUM
fuelectenerg-618	314	3	,	,	PUNCT
fuelectenerg-618	314	4	•	•	NOUN
fuelectenerg-618	314	5	due	due	ADP
fuelectenerg-618	314	6	to	to	ADP
fuelectenerg-618	314	7	the	the	DET
fuelectenerg-618	314	8	direction	direction	NOUN
fuelectenerg-618	314	9	of	of	ADP
fuelectenerg-618	314	10	change	change	NOUN
fuelectenerg-618	314	11	dx1	dx1	PROPN
fuelectenerg-618	314	12	dx2	dx2	PROPN
fuelectenerg-618	314	13	:	:	PUNCT
fuelectenerg-618	314	14	∂g(x	∂g(x	PROPN
fuelectenerg-618	314	15	)	)	PUNCT
fuelectenerg-618	314	16	∂x2	∂x2	PROPN
fuelectenerg-618	314	17	∣	∣	ADJ
fuelectenerg-618	314	18	∣	∣	ADJ
fuelectenerg-618	314	19	∣	∣	PROPN
fuelectenerg-618	314	20	(	(	PUNCT
fuelectenerg-618	314	21	x1,x2)=(11	x1,x2)=(11	NUM
fuelectenerg-618	314	22	)	)	PUNCT
fuelectenerg-618	315	1	=	=	SYM
fuelectenerg-618	315	2	0	0	PUNCT
fuelectenerg-618	315	3	→	→	SYM
fuelectenerg-618	315	4	g(1,0	g(1,0	PROPN
fuelectenerg-618	315	5	)	)	PUNCT
fuelectenerg-618	315	6	=	=	SYM
fuelectenerg-618	315	7	1	1	NUM
fuelectenerg-618	315	8	,	,	PUNCT
fuelectenerg-618	315	9	and	and	CCONJ
fuelectenerg-618	315	10	•	•	ADP
fuelectenerg-618	315	11	due	due	ADP
fuelectenerg-618	315	12	to	to	ADP
fuelectenerg-618	315	13	the	the	DET
fuelectenerg-618	315	14	direction	direction	NOUN
fuelectenerg-618	315	15	of	of	ADP
fuelectenerg-618	315	16	change	change	NOUN
fuelectenerg-618	315	17	dx1	dx1	PROPN
fuelectenerg-618	315	18	dx2	dx2	PROPN
fuelectenerg-618	315	19	:	:	PUNCT
fuelectenerg-618	315	20	∂g(x	∂g(x	PROPN
fuelectenerg-618	315	21	)	)	PUNCT
fuelectenerg-618	315	22	∂	∂	NUM
fuelectenerg-618	315	23	(	(	PUNCT
fuelectenerg-618	315	24	x1,x2	x1,x2	PROPN
fuelectenerg-618	315	25	)	)	PUNCT
fuelectenerg-618	315	26	∣	∣	ADJ
fuelectenerg-618	315	27	∣	∣	ADJ
fuelectenerg-618	315	28	∣	∣	PROPN
fuelectenerg-618	315	29	(	(	PUNCT
fuelectenerg-618	315	30	x1,x2)=(11	x1,x2)=(11	NUM
fuelectenerg-618	315	31	)	)	PUNCT
fuelectenerg-618	315	32	=	=	SYM
fuelectenerg-618	315	33	0	0	NUM
fuelectenerg-618	315	34	→	→	SYM
fuelectenerg-618	315	35	g(0,0	g(0,0	NOUN
fuelectenerg-618	315	36	)	)	PUNCT
fuelectenerg-618	315	37	=	=	SYM
fuelectenerg-618	315	38	1	1	NUM
fuelectenerg-618	315	39	.	.	PUNCT
fuelectenerg-618	316	1	hence	hence	ADV
fuelectenerg-618	316	2	,	,	PUNCT
fuelectenerg-618	316	3	a	a	DET
fuelectenerg-618	316	4	possible	possible	ADJ
fuelectenerg-618	316	5	solution	solution	NOUN
fuelectenerg-618	316	6	function	function	NOUN
fuelectenerg-618	316	7	g(x	g(x	NOUN
fuelectenerg-618	316	8	)	)	PUNCT
fuelectenerg-618	317	1	=	=	SYM
fuelectenerg-618	317	2	x1	x1	PROPN
fuelectenerg-618	317	3	∨x2	∨x2	NOUN
fuelectenerg-618	317	4	could	could	AUX
fuelectenerg-618	317	5	be	be	AUX
fuelectenerg-618	317	6	reconstructed	reconstruct	VERB
fuelectenerg-618	317	7	based	base	VERB
fuelectenerg-618	317	8	on	on	ADP
fuelectenerg-618	317	9	the	the	DET
fuelectenerg-618	317	10	knowledge	knowledge	NOUN
fuelectenerg-618	317	11	of	of	ADP
fuelectenerg-618	317	12	the	the	DET
fuelectenerg-618	317	13	local	local	ADJ
fuelectenerg-618	317	14	solution	solution	NOUN
fuelectenerg-618	317	15	in	in	ADP
fuelectenerg-618	317	16	a	a	DET
fuelectenerg-618	317	17	single	single	ADJ
fuelectenerg-618	317	18	point	point	NOUN
fuelectenerg-618	317	19	of	of	ADP
fuelectenerg-618	317	20	the	the	DET
fuelectenerg-618	317	21	boolean	boolean	ADJ
fuelectenerg-618	317	22	space	space	NOUN
fuelectenerg-618	317	23	.	.	PUNCT
fuelectenerg-618	318	1	the	the	DET
fuelectenerg-618	318	2	bde	bde	PROPN
fuelectenerg-618	318	3	(	(	PUNCT
fuelectenerg-618	318	4	19	19	NUM
fuelectenerg-618	318	5	)	)	PUNCT
fuelectenerg-618	318	6	contains	contain	VERB
fuelectenerg-618	318	7	all	all	DET
fuelectenerg-618	318	8	elements	element	NOUN
fuelectenerg-618	318	9	of	of	ADP
fuelectenerg-618	318	10	∇	∇	X
fuelectenerg-618	318	11	f	f	X
fuelectenerg-618	318	12	(	(	PUNCT
fuelectenerg-618	318	13	x	x	X
fuelectenerg-618	318	14	)	)	PUNCT
fuelectenerg-618	318	15	either	either	CCONJ
fuelectenerg-618	318	16	in	in	ADP
fuelectenerg-618	318	17	non	non	ADJ
fuelectenerg-618	318	18	-	-	ADJ
fuelectenerg-618	318	19	negated	negated	ADJ
fuelectenerg-618	318	20	or	or	CCONJ
fuelectenerg-618	318	21	negated	negate	VERB
fuelectenerg-618	318	22	form	form	NOUN
fuelectenerg-618	318	23	.	.	PUNCT
fuelectenerg-618	319	1	hence	hence	ADV
fuelectenerg-618	319	2	,	,	PUNCT
fuelectenerg-618	319	3	all	all	DET
fuelectenerg-618	319	4	these	these	DET
fuelectenerg-618	319	5	elements	element	NOUN
fuelectenerg-618	319	6	can	can	AUX
fuelectenerg-618	319	7	be	be	AUX
fuelectenerg-618	319	8	encoded	encode	VERB
fuelectenerg-618	319	9	by	by	ADP
fuelectenerg-618	319	10	boolean	boolean	ADJ
fuelectenerg-618	319	11	variables	variable	NOUN
fuelectenerg-618	319	12	ui	ui	ADV
fuelectenerg-618	319	13	as	as	SCONJ
fuelectenerg-618	319	14	shown	show	VERB
fuelectenerg-618	319	15	in	in	ADP
fuelectenerg-618	319	16	table	table	NOUN
fuelectenerg-618	319	17	2	2	NUM
fuelectenerg-618	319	18	.	.	PUNCT
fuelectenerg-618	319	19	boolean	boolean	ADJ
fuelectenerg-618	319	20	differential	differential	ADJ
fuelectenerg-618	319	21	equations	equation	NOUN
fuelectenerg-618	319	22	a	a	DET
fuelectenerg-618	319	23	common	common	ADJ
fuelectenerg-618	319	24	model	model	NOUN
fuelectenerg-618	319	25	for	for	ADP
fuelectenerg-618	319	26	classes	class	NOUN
fuelectenerg-618	319	27	,	,	PUNCT
fuelectenerg-618	319	28	lattices	lattice	NOUN
fuelectenerg-618	319	29	,	,	PUNCT
fuelectenerg-618	319	30	...	...	PUNCT
fuelectenerg-618	319	31	109	109	NUM
fuelectenerg-618	319	32	tab	tab	NOUN
fuelectenerg-618	319	33	.	.	PUNCT
fuelectenerg-618	320	1	2	2	X
fuelectenerg-618	320	2	.	.	X
fuelectenerg-618	320	3	mapping	mapping	NOUN
fuelectenerg-618	320	4	of	of	ADP
fuelectenerg-618	320	5	the	the	DET
fuelectenerg-618	320	6	bde	bde	PROPN
fuelectenerg-618	320	7	into	into	ADP
fuelectenerg-618	320	8	the	the	DET
fuelectenerg-618	320	9	associated	associated	ADJ
fuelectenerg-618	320	10	boolean	boolean	ADJ
fuelectenerg-618	320	11	equation	equation	NOUN
fuelectenerg-618	320	12	index	index	NOUN
fuelectenerg-618	320	13	binary	binary	PROPN
fuelectenerg-618	320	14	code	code	PROPN
fuelectenerg-618	320	15	ui	ui	PROPN
fuelectenerg-618	320	16	associated	associate	VERB
fuelectenerg-618	320	17	element	element	NOUN
fuelectenerg-618	320	18	0	0	NUM
fuelectenerg-618	321	1	(	(	PUNCT
fuelectenerg-618	321	2	0	0	NUM
fuelectenerg-618	321	3	.	.	PUNCT
fuelectenerg-618	321	4	.	.	PUNCT
fuelectenerg-618	322	1	.00	.00	NUM
fuelectenerg-618	322	2	)	)	PUNCT
fuelectenerg-618	322	3	u0	u0	PROPN
fuelectenerg-618	322	4	f	f	PROPN
fuelectenerg-618	322	5	(	(	PUNCT
fuelectenerg-618	322	6	x	x	X
fuelectenerg-618	322	7	)	)	PUNCT
fuelectenerg-618	322	8	1	1	NUM
fuelectenerg-618	322	9	(	(	PUNCT
fuelectenerg-618	322	10	0	0	NUM
fuelectenerg-618	322	11	.	.	PUNCT
fuelectenerg-618	322	12	.	.	PUNCT
fuelectenerg-618	323	1	.01	.01	NUM
fuelectenerg-618	323	2	)	)	PUNCT
fuelectenerg-618	323	3	u1	u1	NOUN
fuelectenerg-618	323	4	∂	∂	NUM
fuelectenerg-618	323	5	f	f	PROPN
fuelectenerg-618	323	6	(	(	PUNCT
fuelectenerg-618	323	7	x	x	X
fuelectenerg-618	323	8	)	)	PUNCT
fuelectenerg-618	323	9	∂x1	∂x1	NOUN
fuelectenerg-618	323	10	2	2	NUM
fuelectenerg-618	323	11	(	(	PUNCT
fuelectenerg-618	323	12	0	0	NUM
fuelectenerg-618	323	13	.	.	PUNCT
fuelectenerg-618	323	14	.	.	PUNCT
fuelectenerg-618	324	1	.10	.10	NUM
fuelectenerg-618	324	2	)	)	PUNCT
fuelectenerg-618	324	3	u2	u2	PROPN
fuelectenerg-618	324	4	∂	∂	NOUN
fuelectenerg-618	324	5	f	f	PROPN
fuelectenerg-618	324	6	(	(	PUNCT
fuelectenerg-618	324	7	x	x	X
fuelectenerg-618	324	8	)	)	PUNCT
fuelectenerg-618	324	9	∂x2	∂x2	NOUN
fuelectenerg-618	324	10	3	3	NUM
fuelectenerg-618	324	11	(	(	PUNCT
fuelectenerg-618	324	12	0	0	NUM
fuelectenerg-618	324	13	.	.	PUNCT
fuelectenerg-618	324	14	.	.	PUNCT
fuelectenerg-618	325	1	.11	.11	NUM
fuelectenerg-618	325	2	)	)	PUNCT
fuelectenerg-618	325	3	u3	u3	PROPN
fuelectenerg-618	325	4	∂	∂	NUM
fuelectenerg-618	325	5	f	f	PROPN
fuelectenerg-618	325	6	(	(	PUNCT
fuelectenerg-618	325	7	x	x	NOUN
fuelectenerg-618	325	8	)	)	PUNCT
fuelectenerg-618	325	9	∂	∂	NUM
fuelectenerg-618	325	10	(	(	PUNCT
fuelectenerg-618	325	11	x1,x2	x1,x2	PROPN
fuelectenerg-618	325	12	)	)	PUNCT
fuelectenerg-618	325	13	:	:	PUNCT
fuelectenerg-618	325	14	:	:	PUNCT
fuelectenerg-618	325	15	:	:	PUNCT
fuelectenerg-618	325	16	:	:	PUNCT
fuelectenerg-618	325	17	2n	2n	NUM
fuelectenerg-618	325	18	−1	−1	NOUN
fuelectenerg-618	325	19	(	(	PUNCT
fuelectenerg-618	325	20	1	1	NUM
fuelectenerg-618	325	21	.	.	PUNCT
fuelectenerg-618	325	22	.	.	PUNCT
fuelectenerg-618	326	1	.11	.11	NUM
fuelectenerg-618	326	2	)	)	PUNCT
fuelectenerg-618	327	1	u2n−1	u2n−1	PROPN
fuelectenerg-618	327	2	∂	∂	NUM
fuelectenerg-618	327	3	f	f	NOUN
fuelectenerg-618	327	4	(	(	PUNCT
fuelectenerg-618	327	5	x	x	X
fuelectenerg-618	327	6	)	)	PUNCT
fuelectenerg-618	327	7	∂x	∂x	VERB
fuelectenerg-618	327	8	the	the	DET
fuelectenerg-618	327	9	result	result	NOUN
fuelectenerg-618	327	10	of	of	ADP
fuelectenerg-618	327	11	this	this	DET
fuelectenerg-618	327	12	substitution	substitution	NOUN
fuelectenerg-618	327	13	is	be	AUX
fuelectenerg-618	327	14	an	an	DET
fuelectenerg-618	327	15	associated	associated	ADJ
fuelectenerg-618	327	16	boolean	boolean	ADJ
fuelectenerg-618	327	17	equation	equation	NOUN
fuelectenerg-618	327	18	d(u	d(u	PROPN
fuelectenerg-618	327	19	)	)	PUNCT
fuelectenerg-618	327	20	=	=	PUNCT
fuelectenerg-618	328	1	0	0	X
fuelectenerg-618	328	2	.	.	PUNCT
fuelectenerg-618	329	1	the	the	DET
fuelectenerg-618	329	2	solution	solution	NOUN
fuelectenerg-618	329	3	of	of	ADP
fuelectenerg-618	329	4	this	this	DET
fuelectenerg-618	329	5	boolean	boolean	ADJ
fuelectenerg-618	329	6	equation	equation	NOUN
fuelectenerg-618	329	7	is	be	AUX
fuelectenerg-618	329	8	the	the	DET
fuelectenerg-618	329	9	set	set	NOUN
fuelectenerg-618	329	10	of	of	ADP
fuelectenerg-618	329	11	all	all	DET
fuelectenerg-618	329	12	local	local	ADJ
fuelectenerg-618	329	13	solutions	solution	NOUN
fuelectenerg-618	329	14	sls(u	sls(u	PROPN
fuelectenerg-618	329	15	)	)	PUNCT
fuelectenerg-618	329	16	.	.	PUNCT
fuelectenerg-618	330	1	there	there	PRON
fuelectenerg-618	330	2	are	be	VERB
fuelectenerg-618	330	3	local	local	ADJ
fuelectenerg-618	330	4	solutions	solution	NOUN
fuelectenerg-618	330	5	for	for	ADP
fuelectenerg-618	330	6	which	which	PRON
fuelectenerg-618	330	7	no	no	DET
fuelectenerg-618	330	8	global	global	ADJ
fuelectenerg-618	330	9	solution	solution	NOUN
fuelectenerg-618	330	10	functions	function	NOUN
fuelectenerg-618	330	11	of	of	ADP
fuelectenerg-618	330	12	the	the	DET
fuelectenerg-618	330	13	bde	bde	PROPN
fuelectenerg-618	330	14	(	(	PUNCT
fuelectenerg-618	330	15	19	19	NUM
fuelectenerg-618	330	16	)	)	PUNCT
fuelectenerg-618	330	17	exist	exist	VERB
fuelectenerg-618	330	18	.	.	PUNCT
fuelectenerg-618	331	1	the	the	DET
fuelectenerg-618	331	2	sufficient	sufficient	ADJ
fuelectenerg-618	331	3	condition	condition	NOUN
fuelectenerg-618	331	4	for	for	ADP
fuelectenerg-618	331	5	a	a	DET
fuelectenerg-618	331	6	global	global	ADJ
fuelectenerg-618	331	7	solution	solution	NOUN
fuelectenerg-618	331	8	function	function	NOUN
fuelectenerg-618	331	9	of	of	ADP
fuelectenerg-618	331	10	the	the	DET
fuelectenerg-618	331	11	bde	bde	PROPN
fuelectenerg-618	331	12	(	(	PUNCT
fuelectenerg-618	331	13	19	19	NUM
fuelectenerg-618	331	14	)	)	PUNCT
fuelectenerg-618	331	15	is	be	AUX
fuelectenerg-618	331	16	that	that	SCONJ
fuelectenerg-618	331	17	a	a	DET
fuelectenerg-618	331	18	local	local	ADJ
fuelectenerg-618	331	19	solution	solution	NOUN
fuelectenerg-618	331	20	exists	exist	VERB
fuelectenerg-618	331	21	for	for	ADP
fuelectenerg-618	331	22	each	each	DET
fuelectenerg-618	331	23	point	point	NOUN
fuelectenerg-618	331	24	of	of	ADP
fuelectenerg-618	331	25	the	the	DET
fuelectenerg-618	331	26	boolean	boolean	ADJ
fuelectenerg-618	331	27	space	space	NOUN
fuelectenerg-618	331	28	bn	bn	NOUN
fuelectenerg-618	331	29	:	:	PUNCT
fuelectenerg-618	331	30	∀c	∀c	X
fuelectenerg-618	331	31	∈	∈	NOUN
fuelectenerg-618	331	32	bn	bn	X
fuelectenerg-618	331	33	∇	∇	X
fuelectenerg-618	331	34	f	f	X
fuelectenerg-618	331	35	(	(	PUNCT
fuelectenerg-618	331	36	x	x	NOUN
fuelectenerg-618	331	37	)	)	PUNCT
fuelectenerg-618	331	38	|x	|x	NOUN
fuelectenerg-618	331	39	=	=	SYM
fuelectenerg-618	331	40	c	c	PROPN
fuelectenerg-618	331	41	∈	∈	PROPN
fuelectenerg-618	331	42	sls(u	sls(u	PROPN
fuelectenerg-618	331	43	)	)	PUNCT
fuelectenerg-618	331	44	.	.	PUNCT
fuelectenerg-618	332	1	(	(	PUNCT
fuelectenerg-618	332	2	23	23	NUM
fuelectenerg-618	332	3	)	)	PUNCT
fuelectenerg-618	332	4	an	an	DET
fuelectenerg-618	332	5	important	important	ADJ
fuelectenerg-618	332	6	consequence	consequence	NOUN
fuelectenerg-618	332	7	of	of	ADP
fuelectenerg-618	332	8	(	(	PUNCT
fuelectenerg-618	332	9	23	23	NUM
fuelectenerg-618	332	10	)	)	PUNCT
fuelectenerg-618	332	11	is	be	AUX
fuelectenerg-618	332	12	that	that	SCONJ
fuelectenerg-618	332	13	the	the	DET
fuelectenerg-618	332	14	solutions	solution	NOUN
fuelectenerg-618	332	15	of	of	ADP
fuelectenerg-618	332	16	the	the	DET
fuelectenerg-618	332	17	bde	bde	PROPN
fuelectenerg-618	332	18	(	(	PUNCT
fuelectenerg-618	332	19	19	19	NUM
fuelectenerg-618	332	20	)	)	PUNCT
fuelectenerg-618	332	21	consist	consist	NOUN
fuelectenerg-618	332	22	of	of	ADP
fuelectenerg-618	332	23	classes	class	NOUN
fuelectenerg-618	332	24	of	of	ADP
fuelectenerg-618	332	25	boolean	boolean	ADJ
fuelectenerg-618	332	26	functions	function	NOUN
fuelectenerg-618	332	27	as	as	SCONJ
fuelectenerg-618	332	28	characterized	characterize	VERB
fuelectenerg-618	332	29	by	by	ADP
fuelectenerg-618	332	30	theorem	theorem	NOUN
fuelectenerg-618	332	31	1	1	NUM
fuelectenerg-618	332	32	;	;	PUNCT
fuelectenerg-618	332	33	the	the	DET
fuelectenerg-618	332	34	proof	proof	NOUN
fuelectenerg-618	332	35	is	be	AUX
fuelectenerg-618	332	36	given	give	VERB
fuelectenerg-618	332	37	in	in	ADP
fuelectenerg-618	332	38	[	[	X
fuelectenerg-618	332	39	4	4	NUM
fuelectenerg-618	332	40	,	,	PUNCT
fuelectenerg-618	332	41	5	5	NUM
fuelectenerg-618	332	42	]	]	PUNCT
fuelectenerg-618	332	43	.	.	PUNCT
fuelectenerg-618	333	1	theorem	theorem	NOUN
fuelectenerg-618	333	2	1	1	NUM
fuelectenerg-618	333	3	.	.	PUNCT
fuelectenerg-618	334	1	if	if	SCONJ
fuelectenerg-618	334	2	the	the	DET
fuelectenerg-618	334	3	boolean	boolean	ADJ
fuelectenerg-618	334	4	function	function	NOUN
fuelectenerg-618	334	5	f	f	PROPN
fuelectenerg-618	334	6	(	(	PUNCT
fuelectenerg-618	334	7	x	x	X
fuelectenerg-618	334	8	)	)	PUNCT
fuelectenerg-618	334	9	is	be	AUX
fuelectenerg-618	334	10	a	a	DET
fuelectenerg-618	334	11	solution	solution	NOUN
fuelectenerg-618	334	12	function	function	NOUN
fuelectenerg-618	334	13	of	of	ADP
fuelectenerg-618	334	14	the	the	DET
fuelectenerg-618	334	15	boolean	boolean	ADJ
fuelectenerg-618	334	16	differential	differential	NOUN
fuelectenerg-618	334	17	equation	equation	NOUN
fuelectenerg-618	334	18	(	(	PUNCT
fuelectenerg-618	334	19	19	19	NUM
fuelectenerg-618	334	20	)	)	PUNCT
fuelectenerg-618	334	21	,	,	PUNCT
fuelectenerg-618	334	22	then	then	ADV
fuelectenerg-618	334	23	all	all	DET
fuelectenerg-618	334	24	boolean	boolean	ADJ
fuelectenerg-618	334	25	functions	function	NOUN
fuelectenerg-618	334	26	f	f	X
fuelectenerg-618	334	27	(	(	PUNCT
fuelectenerg-618	334	28	x1,x2	x1,x2	PROPN
fuelectenerg-618	334	29	,	,	PUNCT
fuelectenerg-618	334	30	...	...	PUNCT
fuelectenerg-618	334	31	,	,	PUNCT
fuelectenerg-618	334	32	xn	xn	PROPN
fuelectenerg-618	334	33	)	)	PUNCT
fuelectenerg-618	335	1	=	=	SYM
fuelectenerg-618	335	2	f	f	PROPN
fuelectenerg-618	335	3	(	(	PUNCT
fuelectenerg-618	335	4	x1	x1	PROPN
fuelectenerg-618	335	5	⊕	⊕	PROPN
fuelectenerg-618	335	6	c1,x2	c1,x2	PROPN
fuelectenerg-618	335	7	⊕	⊕	PROPN
fuelectenerg-618	335	8	c2	c2	PROPN
fuelectenerg-618	335	9	,	,	PUNCT
fuelectenerg-618	335	10	...	...	PUNCT
fuelectenerg-618	335	11	,	,	PUNCT
fuelectenerg-618	335	12	xn	xn	PROPN
fuelectenerg-618	335	13	⊕	⊕	PROPN
fuelectenerg-618	335	14	cn	cn	PROPN
fuelectenerg-618	335	15	)	)	PUNCT
fuelectenerg-618	335	16	(	(	PUNCT
fuelectenerg-618	335	17	24	24	NUM
fuelectenerg-618	335	18	)	)	PUNCT
fuelectenerg-618	335	19	for	for	ADP
fuelectenerg-618	335	20	c	c	NOUN
fuelectenerg-618	335	21	=	=	SYM
fuelectenerg-618	335	22	(	(	PUNCT
fuelectenerg-618	335	23	c1	c1	PROPN
fuelectenerg-618	335	24	,	,	PUNCT
fuelectenerg-618	335	25	.	.	PUNCT
fuelectenerg-618	335	26	.	.	PUNCT
fuelectenerg-618	335	27	.	.	PUNCT
fuelectenerg-618	336	1	,	,	PUNCT
fuelectenerg-618	336	2	cn	cn	PROPN
fuelectenerg-618	336	3	)	)	PUNCT
fuelectenerg-618	336	4	∈	∈	PROPN
fuelectenerg-618	336	5	bn	bn	NOUN
fuelectenerg-618	336	6	are	be	AUX
fuelectenerg-618	336	7	also	also	ADV
fuelectenerg-618	336	8	solution	solution	NOUN
fuelectenerg-618	336	9	functions	function	NOUN
fuelectenerg-618	336	10	of	of	ADP
fuelectenerg-618	336	11	(	(	PUNCT
fuelectenerg-618	336	12	19	19	NUM
fuelectenerg-618	336	13	)	)	PUNCT
fuelectenerg-618	336	14	.	.	PUNCT
fuelectenerg-618	337	1	the	the	DET
fuelectenerg-618	337	2	set	set	NOUN
fuelectenerg-618	337	3	of	of	ADP
fuelectenerg-618	337	4	local	local	ADJ
fuelectenerg-618	337	5	solutions	solution	NOUN
fuelectenerg-618	337	6	sls(u	sls(u	PROPN
fuelectenerg-618	337	7	)	)	PUNCT
fuelectenerg-618	337	8	expresses	express	VERB
fuelectenerg-618	337	9	by	by	ADP
fuelectenerg-618	337	10	u0	u0	VERB
fuelectenerg-618	337	11	the	the	DET
fuelectenerg-618	337	12	function	function	NOUN
fuelectenerg-618	337	13	value	value	NOUN
fuelectenerg-618	337	14	in	in	ADP
fuelectenerg-618	337	15	one	one	NUM
fuelectenerg-618	337	16	point	point	NOUN
fuelectenerg-618	337	17	of	of	ADP
fuelectenerg-618	337	18	bn	bn	NOUN
fuelectenerg-618	337	19	and	and	CCONJ
fuelectenerg-618	337	20	by	by	ADP
fuelectenerg-618	337	21	ui	ui	PROPN
fuelectenerg-618	337	22	,	,	PUNCT
fuelectenerg-618	337	23	0	0	PUNCT
fuelectenerg-618	337	24	<	<	X
fuelectenerg-618	337	25	i	i	X
fuelectenerg-618	337	26	<	<	X
fuelectenerg-618	337	27	2n	2n	NUM
fuelectenerg-618	337	28	,	,	PUNCT
fuelectenerg-618	337	29	the	the	DET
fuelectenerg-618	337	30	values	value	NOUN
fuelectenerg-618	337	31	of	of	ADP
fuelectenerg-618	337	32	changes	change	NOUN
fuelectenerg-618	337	33	with	with	ADP
fuelectenerg-618	337	34	regard	regard	NOUN
fuelectenerg-618	337	35	to	to	ADP
fuelectenerg-618	337	36	all	all	DET
fuelectenerg-618	337	37	the	the	DET
fuelectenerg-618	337	38	other	other	ADJ
fuelectenerg-618	337	39	points	point	NOUN
fuelectenerg-618	337	40	of	of	ADP
fuelectenerg-618	337	41	bn	bn	NOUN
fuelectenerg-618	337	42	.	.	PUNCT
fuelectenerg-618	338	1	the	the	DET
fuelectenerg-618	338	2	separation	separation	NOUN
fuelectenerg-618	338	3	of	of	ADP
fuelectenerg-618	338	4	function	function	NOUN
fuelectenerg-618	338	5	classes	class	NOUN
fuelectenerg-618	338	6	becomes	become	VERB
fuelectenerg-618	338	7	easier	easy	ADJ
fuelectenerg-618	338	8	when	when	SCONJ
fuelectenerg-618	338	9	the	the	DET
fuelectenerg-618	338	10	function	function	NOUN
fuelectenerg-618	338	11	value	value	NOUN
fuelectenerg-618	338	12	in	in	ADP
fuelectenerg-618	338	13	all	all	DET
fuelectenerg-618	338	14	points	point	NOUN
fuelectenerg-618	338	15	of	of	ADP
fuelectenerg-618	338	16	bn	bn	NOUN
fuelectenerg-618	338	17	are	be	AUX
fuelectenerg-618	338	18	uniquely	uniquely	ADV
fuelectenerg-618	338	19	given	give	VERB
fuelectenerg-618	338	20	.	.	PUNCT
fuelectenerg-618	339	1	the	the	DET
fuelectenerg-618	339	2	function	function	NOUN
fuelectenerg-618	339	3	d2v	d2v	PROPN
fuelectenerg-618	339	4	(	(	PUNCT
fuelectenerg-618	339	5	derivative	derivative	NOUN
fuelectenerg-618	339	6	to	to	PART
fuelectenerg-618	339	7	value	value	NOUN
fuelectenerg-618	339	8	)	)	PUNCT
fuelectenerg-618	339	9	uses	use	VERB
fuelectenerg-618	339	10	(	(	PUNCT
fuelectenerg-618	339	11	25	25	NUM
fuelectenerg-618	339	12	)	)	PUNCT
fuelectenerg-618	339	13	to	to	PART
fuelectenerg-618	339	14	transform	transform	VERB
fuelectenerg-618	339	15	the	the	DET
fuelectenerg-618	339	16	set	set	NOUN
fuelectenerg-618	339	17	sls(u	sls(u	PROPN
fuelectenerg-618	339	18	)	)	PUNCT
fuelectenerg-618	339	19	into	into	ADP
fuelectenerg-618	339	20	the	the	DET
fuelectenerg-618	339	21	set	set	NOUN
fuelectenerg-618	339	22	sls′(v	sls′(v	NOUN
fuelectenerg-618	339	23	)	)	PUNCT
fuelectenerg-618	339	24	.	.	PUNCT
fuelectenerg-618	340	1	v0	v0	NOUN
fuelectenerg-618	340	2	=	=	SYM
fuelectenerg-618	340	3	u0	u0	PROPN
fuelectenerg-618	340	4	,	,	PUNCT
fuelectenerg-618	340	5	vi	vi	NOUN
fuelectenerg-618	340	6	=	=	PUNCT
fuelectenerg-618	340	7	u0	u0	ADJ
fuelectenerg-618	340	8	⊕ui	⊕ui	NOUN
fuelectenerg-618	340	9	,	,	PUNCT
fuelectenerg-618	340	10	with	with	ADP
fuelectenerg-618	340	11	i	i	PROPN
fuelectenerg-618	340	12	=	=	SYM
fuelectenerg-618	340	13	1,2	1,2	NUM
fuelectenerg-618	340	14	,	,	PUNCT
fuelectenerg-618	340	15	...	...	PUNCT
fuelectenerg-618	340	16	,	,	PUNCT
fuelectenerg-618	340	17	2n	2n	NUM
fuelectenerg-618	340	18	−1	−1	NOUN
fuelectenerg-618	340	19	.	.	PUNCT
fuelectenerg-618	341	1	(	(	PUNCT
fuelectenerg-618	341	2	25	25	NUM
fuelectenerg-618	341	3	)	)	PUNCT
fuelectenerg-618	341	4	58	58	NUM
fuelectenerg-618	341	5	b.	b.	NOUN
fuelectenerg-618	341	6	steinbach	steinbach	PROPN
fuelectenerg-618	341	7	,	,	PUNCT
fuelectenerg-618	341	8	c.	c.	PROPN
fuelectenerg-618	341	9	posthoff	posthoff	PROPN
fuelectenerg-618	341	10	boolean	boolean	ADJ
fuelectenerg-618	341	11	differential	differential	ADJ
fuelectenerg-618	341	12	equations	equation	NOUN
fuelectenerg-618	341	13	–	–	PUNCT
fuelectenerg-618	341	14	a	a	DET
fuelectenerg-618	341	15	common	common	ADJ
fuelectenerg-618	341	16	model	model	NOUN
fuelectenerg-618	341	17	for	for	ADP
fuelectenerg-618	341	18	classes	class	NOUN
fuelectenerg-618	341	19	,	,	PUNCT
fuelectenerg-618	341	20	lattices	lattice	NOUN
fuelectenerg-618	341	21	...	...	PUNCT
fuelectenerg-618	341	22	59	59	NUM
fuelectenerg-618	341	23	110	110	NUM
fuelectenerg-618	341	24	b.	b.	NOUN
fuelectenerg-618	341	25	steinbach	steinbach	PROPN
fuelectenerg-618	341	26	and	and	CCONJ
fuelectenerg-618	341	27	c.	c.	PROPN
fuelectenerg-618	341	28	posthoff	posthoff	PROPN
fuelectenerg-618	341	29	due	due	ADP
fuelectenerg-618	341	30	to	to	ADP
fuelectenerg-618	341	31	(	(	PUNCT
fuelectenerg-618	341	32	24	24	NUM
fuelectenerg-618	341	33	)	)	PUNCT
fuelectenerg-618	341	34	,	,	PUNCT
fuelectenerg-618	341	35	the	the	DET
fuelectenerg-618	341	36	exchange	exchange	NOUN
fuelectenerg-618	341	37	of	of	ADP
fuelectenerg-618	341	38	xi	xi	PROPN
fuelectenerg-618	341	39	and	and	CCONJ
fuelectenerg-618	341	40	xi	xi	X
fuelectenerg-618	341	41	does	do	AUX
fuelectenerg-618	341	42	not	not	PART
fuelectenerg-618	341	43	change	change	VERB
fuelectenerg-618	341	44	the	the	DET
fuelectenerg-618	341	45	set	set	NOUN
fuelectenerg-618	341	46	of	of	ADP
fuelectenerg-618	341	47	solution	solution	NOUN
fuelectenerg-618	341	48	functions	function	NOUN
fuelectenerg-618	341	49	.	.	PUNCT
fuelectenerg-618	342	1	the	the	DET
fuelectenerg-618	342	2	function	function	NOUN
fuelectenerg-618	342	3	epv	epv	NOUN
fuelectenerg-618	342	4	(	(	PUNCT
fuelectenerg-618	342	5	exchange	exchange	NOUN
fuelectenerg-618	342	6	of	of	ADP
fuelectenerg-618	342	7	pairs	pair	NOUN
fuelectenerg-618	342	8	of	of	ADP
fuelectenerg-618	342	9	values	value	NOUN
fuelectenerg-618	342	10	)	)	PUNCT
fuelectenerg-618	342	11	realizes	realize	VERB
fuelectenerg-618	342	12	this	this	DET
fuelectenerg-618	342	13	exchange	exchange	NOUN
fuelectenerg-618	342	14	:	:	PUNCT
fuelectenerg-618	342	15	slst	slst	NOUN
fuelectenerg-618	342	16	(	(	PUNCT
fuelectenerg-618	342	17	v	v	NOUN
fuelectenerg-618	342	18	)	)	PUNCT
fuelectenerg-618	342	19	=	=	SYM
fuelectenerg-618	342	20	epv(sls′(v	epv(sls′(v	NOUN
fuelectenerg-618	342	21	)	)	PUNCT
fuelectenerg-618	342	22	,	,	PUNCT
fuelectenerg-618	342	23	i	i	PROPN
fuelectenerg-618	342	24	)	)	PUNCT
fuelectenerg-618	342	25	.	.	PUNCT
fuelectenerg-618	343	1	(	(	PUNCT
fuelectenerg-618	343	2	26	26	NUM
fuelectenerg-618	343	3	)	)	PUNCT
fuelectenerg-618	343	4	applied	apply	VERB
fuelectenerg-618	343	5	to	to	ADP
fuelectenerg-618	343	6	variables	variable	NOUN
fuelectenerg-618	343	7	vi	vi	PROPN
fuelectenerg-618	343	8	this	this	DET
fuelectenerg-618	343	9	exchange	exchange	NOUN
fuelectenerg-618	343	10	is	be	AUX
fuelectenerg-618	343	11	described	describe	VERB
fuelectenerg-618	343	12	by	by	ADP
fuelectenerg-618	343	13	:	:	PUNCT
fuelectenerg-618	343	14	v(m+2k·2i−1	v(m+2k·2i−1	PROPN
fuelectenerg-618	343	15	)	)	PUNCT
fuelectenerg-618	343	16	⇐	⇐	ADJ
fuelectenerg-618	343	17	⇒	⇒	PROPN
fuelectenerg-618	343	18	v(m+(2k+1)·2i−1	v(m+(2k+1)·2i−1	PROPN
fuelectenerg-618	343	19	)	)	PUNCT
fuelectenerg-618	343	20	,	,	PUNCT
fuelectenerg-618	343	21	(	(	PUNCT
fuelectenerg-618	343	22	27	27	NUM
fuelectenerg-618	343	23	)	)	PUNCT
fuelectenerg-618	343	24	with	with	ADP
fuelectenerg-618	343	25	i	i	PROPN
fuelectenerg-618	343	26	=	=	SYM
fuelectenerg-618	343	27	1,2	1,2	NUM
fuelectenerg-618	343	28	,	,	PUNCT
fuelectenerg-618	343	29	...	...	PUNCT
fuelectenerg-618	343	30	,	,	PUNCT
fuelectenerg-618	343	31	n	n	X
fuelectenerg-618	343	32	,	,	PUNCT
fuelectenerg-618	343	33	m	m	VERB
fuelectenerg-618	343	34	=	=	SYM
fuelectenerg-618	343	35	0,1	0,1	NUM
fuelectenerg-618	343	36	,	,	PUNCT
fuelectenerg-618	343	37	...	...	PUNCT
fuelectenerg-618	343	38	,	,	PUNCT
fuelectenerg-618	343	39	2i−1	2i−1	NUM
fuelectenerg-618	343	40	−1	−1	NOUN
fuelectenerg-618	343	41	,	,	PUNCT
fuelectenerg-618	343	42	k	k	PROPN
fuelectenerg-618	343	43	=	=	SYM
fuelectenerg-618	343	44	0,1	0,1	NUM
fuelectenerg-618	343	45	,	,	PUNCT
fuelectenerg-618	343	46	...	...	PUNCT
fuelectenerg-618	343	47	,	,	PUNCT
fuelectenerg-618	343	48	2n−i	2n−i	NUM
fuelectenerg-618	343	49	−1	−1	NOUN
fuelectenerg-618	343	50	.	.	PUNCT
fuelectenerg-618	344	1	table	table	NOUN
fuelectenerg-618	344	2	3	3	NUM
fuelectenerg-618	344	3	enumerates	enumerate	VERB
fuelectenerg-618	344	4	the	the	DET
fuelectenerg-618	344	5	index	index	NOUN
fuelectenerg-618	344	6	pairs	pair	NOUN
fuelectenerg-618	344	7	which	which	PRON
fuelectenerg-618	344	8	are	be	AUX
fuelectenerg-618	344	9	used	use	VERB
fuelectenerg-618	344	10	in	in	ADP
fuelectenerg-618	344	11	the	the	DET
fuelectenerg-618	344	12	function	function	NOUN
fuelectenerg-618	344	13	epv	epv	NOUN
fuelectenerg-618	344	14	for	for	ADP
fuelectenerg-618	344	15	boolean	boolean	ADJ
fuelectenerg-618	344	16	spaces	space	NOUN
fuelectenerg-618	344	17	up	up	ADP
fuelectenerg-618	344	18	to	to	ADP
fuelectenerg-618	344	19	b	b	NOUN
fuelectenerg-618	344	20	4	4	NUM
fuelectenerg-618	344	21	.	.	PUNCT
fuelectenerg-618	344	22	tab	tab	NOUN
fuelectenerg-618	344	23	.	.	PUNCT
fuelectenerg-618	345	1	3	3	X
fuelectenerg-618	345	2	.	.	X
fuelectenerg-618	345	3	index	index	NOUN
fuelectenerg-618	345	4	pairs	pair	NOUN
fuelectenerg-618	345	5	defined	define	VERB
fuelectenerg-618	345	6	by	by	ADP
fuelectenerg-618	345	7	(	(	PUNCT
fuelectenerg-618	345	8	27	27	NUM
fuelectenerg-618	345	9	)	)	PUNCT
fuelectenerg-618	345	10	for	for	ADP
fuelectenerg-618	345	11	the	the	DET
fuelectenerg-618	345	12	exchange	exchange	NOUN
fuelectenerg-618	345	13	of	of	ADP
fuelectenerg-618	345	14	function	function	NOUN
fuelectenerg-618	345	15	values	value	NOUN
fuelectenerg-618	346	1	i	i	PRON
fuelectenerg-618	346	2	=	=	SYM
fuelectenerg-618	346	3	1	1	NUM
fuelectenerg-618	346	4	i	i	NOUN
fuelectenerg-618	346	5	=	=	NOUN
fuelectenerg-618	346	6	2	2	NUM
fuelectenerg-618	346	7	i	i	NOUN
fuelectenerg-618	346	8	=	=	NOUN
fuelectenerg-618	346	9	3	3	NUM
fuelectenerg-618	346	10	i	i	NOUN
fuelectenerg-618	346	11	=	=	NOUN
fuelectenerg-618	346	12	4	4	NUM
fuelectenerg-618	346	13	0	0	NUM
fuelectenerg-618	346	14	⇔	⇔	X
fuelectenerg-618	346	15	1	1	NUM
fuelectenerg-618	346	16	0	0	NUM
fuelectenerg-618	346	17	⇔	⇔	X
fuelectenerg-618	346	18	2	2	NUM
fuelectenerg-618	346	19	0	0	NUM
fuelectenerg-618	346	20	⇔	⇔	X
fuelectenerg-618	346	21	4	4	NUM
fuelectenerg-618	346	22	0	0	NUM
fuelectenerg-618	346	23	⇔	⇔	X
fuelectenerg-618	346	24	8	8	NUM
fuelectenerg-618	346	25	2	2	NUM
fuelectenerg-618	346	26	⇔	⇔	X
fuelectenerg-618	346	27	3	3	NUM
fuelectenerg-618	346	28	1	1	NUM
fuelectenerg-618	346	29	⇔	⇔	X
fuelectenerg-618	346	30	3	3	NUM
fuelectenerg-618	346	31	1	1	NUM
fuelectenerg-618	346	32	⇔	⇔	X
fuelectenerg-618	346	33	5	5	NUM
fuelectenerg-618	346	34	1	1	NUM
fuelectenerg-618	346	35	⇔	⇔	X
fuelectenerg-618	346	36	9	9	NUM
fuelectenerg-618	346	37	4	4	NUM
fuelectenerg-618	346	38	⇔	⇔	NUM
fuelectenerg-618	346	39	5	5	NUM
fuelectenerg-618	346	40	4	4	NUM
fuelectenerg-618	346	41	⇔	⇔	NUM
fuelectenerg-618	346	42	6	6	NUM
fuelectenerg-618	346	43	2	2	NUM
fuelectenerg-618	346	44	⇔	⇔	NUM
fuelectenerg-618	346	45	6	6	NUM
fuelectenerg-618	346	46	2	2	NUM
fuelectenerg-618	346	47	⇔	⇔	X
fuelectenerg-618	346	48	10	10	NUM
fuelectenerg-618	346	49	6	6	NUM
fuelectenerg-618	346	50	⇔	⇔	PROPN
fuelectenerg-618	346	51	7	7	NUM
fuelectenerg-618	346	52	5	5	NUM
fuelectenerg-618	346	53	⇔	⇔	PROPN
fuelectenerg-618	346	54	7	7	NUM
fuelectenerg-618	346	55	3	3	NUM
fuelectenerg-618	346	56	⇔	⇔	PROPN
fuelectenerg-618	346	57	7	7	NUM
fuelectenerg-618	346	58	3	3	NUM
fuelectenerg-618	346	59	⇔	⇔	X
fuelectenerg-618	346	60	11	11	NUM
fuelectenerg-618	346	61	8	8	NUM
fuelectenerg-618	346	62	⇔	⇔	X
fuelectenerg-618	346	63	9	9	NUM
fuelectenerg-618	346	64	8	8	NUM
fuelectenerg-618	346	65	⇔	⇔	X
fuelectenerg-618	346	66	10	10	NUM
fuelectenerg-618	346	67	8	8	NUM
fuelectenerg-618	346	68	⇔	⇔	X
fuelectenerg-618	346	69	12	12	NUM
fuelectenerg-618	346	70	4	4	NUM
fuelectenerg-618	346	71	⇔	⇔	NOUN
fuelectenerg-618	346	72	12	12	NUM
fuelectenerg-618	346	73	10	10	NUM
fuelectenerg-618	346	74	⇔	⇔	NUM
fuelectenerg-618	346	75	11	11	NUM
fuelectenerg-618	346	76	9	9	NUM
fuelectenerg-618	346	77	⇔	⇔	X
fuelectenerg-618	346	78	11	11	NUM
fuelectenerg-618	346	79	9	9	NUM
fuelectenerg-618	346	80	⇔	⇔	X
fuelectenerg-618	346	81	13	13	NUM
fuelectenerg-618	346	82	5	5	NUM
fuelectenerg-618	346	83	⇔	⇔	X
fuelectenerg-618	346	84	13	13	NUM
fuelectenerg-618	346	85	12	12	NUM
fuelectenerg-618	346	86	⇔	⇔	PROPN
fuelectenerg-618	346	87	13	13	NUM
fuelectenerg-618	346	88	12	12	NUM
fuelectenerg-618	346	89	⇔	⇔	NUM
fuelectenerg-618	346	90	14	14	NUM
fuelectenerg-618	346	91	10	10	NUM
fuelectenerg-618	346	92	⇔	⇔	NUM
fuelectenerg-618	346	93	14	14	NUM
fuelectenerg-618	346	94	6	6	NUM
fuelectenerg-618	346	95	⇔	⇔	NUM
fuelectenerg-618	346	96	14	14	NUM
fuelectenerg-618	346	97	14	14	NUM
fuelectenerg-618	346	98	⇔	⇔	NUM
fuelectenerg-618	346	99	15	15	NUM
fuelectenerg-618	346	100	13	13	NUM
fuelectenerg-618	346	101	⇔	⇔	NUM
fuelectenerg-618	346	102	15	15	NUM
fuelectenerg-618	346	103	11	11	NUM
fuelectenerg-618	346	104	⇔	⇔	NUM
fuelectenerg-618	346	105	15	15	NUM
fuelectenerg-618	346	106	7	7	NUM
fuelectenerg-618	346	107	⇔	⇔	X
fuelectenerg-618	346	108	15	15	NUM
fuelectenerg-618	346	109	the	the	DET
fuelectenerg-618	346	110	intersection	intersection	NOUN
fuelectenerg-618	346	111	of	of	ADP
fuelectenerg-618	346	112	the	the	DET
fuelectenerg-618	346	113	given	give	VERB
fuelectenerg-618	346	114	set	set	VERB
fuelectenerg-618	346	115	sls′(v	sls′(v	NOUN
fuelectenerg-618	346	116	)	)	PUNCT
fuelectenerg-618	346	117	with	with	ADP
fuelectenerg-618	346	118	the	the	DET
fuelectenerg-618	346	119	exchanged	exchange	VERB
fuelectenerg-618	346	120	set	set	VERB
fuelectenerg-618	346	121	slst	slst	NOUN
fuelectenerg-618	346	122	(	(	PUNCT
fuelectenerg-618	346	123	v	v	NOUN
fuelectenerg-618	346	124	)	)	PUNCT
fuelectenerg-618	346	125	for	for	ADP
fuelectenerg-618	346	126	all	all	DET
fuelectenerg-618	346	127	variables	variable	NOUN
fuelectenerg-618	346	128	xi	xi	X
fuelectenerg-618	346	129	separates	separate	VERB
fuelectenerg-618	346	130	the	the	DET
fuelectenerg-618	346	131	set	set	NOUN
fuelectenerg-618	346	132	of	of	ADP
fuelectenerg-618	346	133	global	global	ADJ
fuelectenerg-618	346	134	solution	solution	NOUN
fuelectenerg-618	346	135	functions	function	NOUN
fuelectenerg-618	346	136	from	from	ADP
fuelectenerg-618	346	137	the	the	DET
fuelectenerg-618	346	138	local	local	ADJ
fuelectenerg-618	346	139	solutions	solution	NOUN
fuelectenerg-618	346	140	which	which	PRON
fuelectenerg-618	346	141	are	be	AUX
fuelectenerg-618	346	142	not	not	PART
fuelectenerg-618	346	143	sufficient	sufficient	ADJ
fuelectenerg-618	346	144	.	.	PUNCT
fuelectenerg-618	347	1	algorithm	algorithm	NOUN
fuelectenerg-618	347	2	1	1	NUM
fuelectenerg-618	347	3	describes	describe	VERB
fuelectenerg-618	347	4	the	the	DET
fuelectenerg-618	347	5	procedure	procedure	NOUN
fuelectenerg-618	347	6	to	to	PART
fuelectenerg-618	347	7	solve	solve	VERB
fuelectenerg-618	347	8	the	the	DET
fuelectenerg-618	347	9	bde	bde	PROPN
fuelectenerg-618	347	10	(	(	PUNCT
fuelectenerg-618	347	11	19	19	NUM
fuelectenerg-618	347	12	)	)	PUNCT
fuelectenerg-618	347	13	in	in	ADP
fuelectenerg-618	347	14	detail	detail	NOUN
fuelectenerg-618	347	15	.	.	PUNCT
fuelectenerg-618	348	1	the	the	DET
fuelectenerg-618	348	2	solution	solution	NOUN
fuelectenerg-618	348	3	vectors	vector	VERB
fuelectenerg-618	348	4	v	v	ADP
fuelectenerg-618	348	5	of	of	ADP
fuelectenerg-618	348	6	algorithm	algorithm	NOUN
fuelectenerg-618	348	7	1	1	NUM
fuelectenerg-618	348	8	specify	specify	VERB
fuelectenerg-618	348	9	,	,	PUNCT
fuelectenerg-618	348	10	substituted	substitute	VERB
fuelectenerg-618	348	11	into	into	ADP
fuelectenerg-618	348	12	(	(	PUNCT
fuelectenerg-618	348	13	28	28	NUM
fuelectenerg-618	348	14	)	)	PUNCT
fuelectenerg-618	348	15	,	,	PUNCT
fuelectenerg-618	348	16	all	all	DET
fuelectenerg-618	348	17	solution	solution	NOUN
fuelectenerg-618	348	18	functions	function	NOUN
fuelectenerg-618	348	19	of	of	ADP
fuelectenerg-618	348	20	the	the	DET
fuelectenerg-618	348	21	bde	bde	PROPN
fuelectenerg-618	348	22	(	(	PUNCT
fuelectenerg-618	348	23	19	19	NUM
fuelectenerg-618	348	24	)	)	PUNCT
fuelectenerg-618	348	25	.	.	PUNCT
fuelectenerg-618	349	1	f	f	PROPN
fuelectenerg-618	349	2	(	(	PUNCT
fuelectenerg-618	349	3	x1,x2	x1,x2	PROPN
fuelectenerg-618	349	4	,	,	PUNCT
fuelectenerg-618	349	5	.	.	PUNCT
fuelectenerg-618	349	6	.	.	PUNCT
fuelectenerg-618	349	7	.	.	PUNCT
fuelectenerg-618	350	1	,	,	PUNCT
fuelectenerg-618	350	2	xn	xn	X
fuelectenerg-618	350	3	)	)	PUNCT
fuelectenerg-618	351	1	=	=	SYM
fuelectenerg-618	352	1	x1	x1	NUM
fuelectenerg-618	353	1	x2	x2	INTJ
fuelectenerg-618	353	2	.	.	PUNCT
fuelectenerg-618	353	3	.	.	PUNCT
fuelectenerg-618	353	4	.	.	PUNCT
fuelectenerg-618	354	1	xn	xn	PROPN
fuelectenerg-618	355	1	∧	∧	PROPN
fuelectenerg-618	355	2	v0	v0	PROPN
fuelectenerg-618	355	3	∨	∨	NUM
fuelectenerg-618	355	4	x1	x1	PROPN
fuelectenerg-618	356	1	x2	x2	PROPN
fuelectenerg-618	356	2	.	.	PUNCT
fuelectenerg-618	356	3	.	.	PUNCT
fuelectenerg-618	356	4	.	.	PUNCT
fuelectenerg-618	357	1	xn	xn	PROPN
fuelectenerg-618	358	1	∧	∧	PROPN
fuelectenerg-618	358	2	v1	v1	PROPN
fuelectenerg-618	358	3	∨	∨	NOUN
fuelectenerg-618	358	4	.	.	PUNCT
fuelectenerg-618	358	5	.	.	PUNCT
fuelectenerg-618	359	1	.∨	.∨	PUNCT
fuelectenerg-618	360	1	(	(	PUNCT
fuelectenerg-618	360	2	28	28	NUM
fuelectenerg-618	360	3	)	)	PUNCT
fuelectenerg-618	360	4	x1	x1	PROPN
fuelectenerg-618	361	1	x2	x2	INTJ
fuelectenerg-618	361	2	.	.	PUNCT
fuelectenerg-618	361	3	.	.	PUNCT
fuelectenerg-618	361	4	.	.	PUNCT
fuelectenerg-618	362	1	xn	xn	PROPN
fuelectenerg-618	363	1	∧	∧	PROPN
fuelectenerg-618	363	2	v2n−1	v2n−1	PROPN
fuelectenerg-618	363	3	3.3	3.3	NUM
fuelectenerg-618	363	4	bdes	bde	NOUN
fuelectenerg-618	363	5	of	of	ADP
fuelectenerg-618	363	6	simple	simple	ADJ
fuelectenerg-618	363	7	and	and	CCONJ
fuelectenerg-618	363	8	vectorial	vectorial	ADJ
fuelectenerg-618	363	9	derivatives	derivative	NOUN
fuelectenerg-618	363	10	as	as	ADV
fuelectenerg-618	363	11	well	well	ADV
fuelectenerg-618	363	12	as	as	ADP
fuelectenerg-618	363	13	variables	variable	NOUN
fuelectenerg-618	363	14	separation	separation	NOUN
fuelectenerg-618	363	15	of	of	ADP
fuelectenerg-618	363	16	arbitrary	arbitrary	ADJ
fuelectenerg-618	363	17	function	function	NOUN
fuelectenerg-618	363	18	sets	set	VERB
fuelectenerg-618	363	19	the	the	DET
fuelectenerg-618	363	20	solution	solution	NOUN
fuelectenerg-618	363	21	of	of	ADP
fuelectenerg-618	363	22	a	a	DET
fuelectenerg-618	363	23	boolean	boolean	ADJ
fuelectenerg-618	363	24	differential	differential	ADJ
fuelectenerg-618	363	25	equation	equation	NOUN
fuelectenerg-618	363	26	of	of	ADP
fuelectenerg-618	363	27	the	the	DET
fuelectenerg-618	363	28	type	type	NOUN
fuelectenerg-618	363	29	(	(	PUNCT
fuelectenerg-618	363	30	18	18	NUM
fuelectenerg-618	363	31	)	)	PUNCT
fuelectenerg-618	363	32	is	be	AUX
fuelectenerg-618	363	33	a	a	DET
fuelectenerg-618	363	34	set	set	NOUN
fuelectenerg-618	363	35	of	of	ADP
fuelectenerg-618	363	36	function	function	NOUN
fuelectenerg-618	363	37	classes	class	NOUN
fuelectenerg-618	363	38	characterized	characterize	VERB
fuelectenerg-618	363	39	by	by	ADP
fuelectenerg-618	363	40	(	(	PUNCT
fuelectenerg-618	363	41	24	24	NUM
fuelectenerg-618	363	42	)	)	PUNCT
fuelectenerg-618	363	43	.	.	PUNCT
fuelectenerg-618	364	1	additional	additional	ADJ
fuelectenerg-618	364	2	boolean	boolean	ADJ
fuelectenerg-618	364	3	variables	variable	NOUN
fuelectenerg-618	364	4	x	x	VERB
fuelectenerg-618	364	5	in	in	ADP
fuelectenerg-618	364	6	a	a	DET
fuelectenerg-618	364	7	boolean	boolean	ADJ
fuelectenerg-618	364	8	differential	differential	ADJ
fuelectenerg-618	364	9	equation	equation	NOUN
fuelectenerg-618	364	10	of	of	ADP
fuelectenerg-618	364	11	the	the	DET
fuelectenerg-618	364	12	type	type	NOUN
fuelectenerg-618	364	13	(	(	PUNCT
fuelectenerg-618	364	14	29	29	NUM
fuelectenerg-618	364	15	)	)	PUNCT
fuelectenerg-618	364	16	restrict	restrict	VERB
fuelectenerg-618	364	17	the	the	DET
fuelectenerg-618	364	18	derivatives	derivative	NOUN
fuelectenerg-618	364	19	to	to	ADP
fuelectenerg-618	364	20	certain	certain	ADJ
fuelectenerg-618	364	21	points	point	NOUN
fuelectenerg-618	364	22	of	of	ADP
fuelectenerg-618	364	23	the	the	DET
fuelectenerg-618	364	24	60	60	NUM
fuelectenerg-618	364	25	b.	b.	PROPN
fuelectenerg-618	364	26	steinbach	steinbach	PROPN
fuelectenerg-618	364	27	,	,	PUNCT
fuelectenerg-618	364	28	c.	c.	PROPN
fuelectenerg-618	364	29	posthoff	posthoff	PROPN
fuelectenerg-618	364	30	boolean	boolean	ADJ
fuelectenerg-618	364	31	differential	differential	ADJ
fuelectenerg-618	364	32	equations	equation	NOUN
fuelectenerg-618	364	33	–	–	PUNCT
fuelectenerg-618	364	34	a	a	DET
fuelectenerg-618	364	35	common	common	ADJ
fuelectenerg-618	364	36	model	model	NOUN
fuelectenerg-618	364	37	for	for	ADP
fuelectenerg-618	364	38	classes	class	NOUN
fuelectenerg-618	364	39	,	,	PUNCT
fuelectenerg-618	364	40	lattices	lattice	NOUN
fuelectenerg-618	364	41	...	...	PUNCT
fuelectenerg-618	364	42	61	61	NUM
fuelectenerg-618	364	43	110	110	NUM
fuelectenerg-618	364	44	b.	b.	NOUN
fuelectenerg-618	364	45	steinbach	steinbach	PROPN
fuelectenerg-618	364	46	and	and	CCONJ
fuelectenerg-618	364	47	c.	c.	PROPN
fuelectenerg-618	364	48	posthoff	posthoff	PROPN
fuelectenerg-618	364	49	due	due	ADP
fuelectenerg-618	364	50	to	to	ADP
fuelectenerg-618	364	51	(	(	PUNCT
fuelectenerg-618	364	52	24	24	NUM
fuelectenerg-618	364	53	)	)	PUNCT
fuelectenerg-618	364	54	,	,	PUNCT
fuelectenerg-618	364	55	the	the	DET
fuelectenerg-618	364	56	exchange	exchange	NOUN
fuelectenerg-618	364	57	of	of	ADP
fuelectenerg-618	364	58	xi	xi	PROPN
fuelectenerg-618	364	59	and	and	CCONJ
fuelectenerg-618	364	60	xi	xi	X
fuelectenerg-618	364	61	does	do	AUX
fuelectenerg-618	364	62	not	not	PART
fuelectenerg-618	364	63	change	change	VERB
fuelectenerg-618	364	64	the	the	DET
fuelectenerg-618	364	65	set	set	NOUN
fuelectenerg-618	364	66	of	of	ADP
fuelectenerg-618	364	67	solution	solution	NOUN
fuelectenerg-618	364	68	functions	function	NOUN
fuelectenerg-618	364	69	.	.	PUNCT
fuelectenerg-618	365	1	the	the	DET
fuelectenerg-618	365	2	function	function	NOUN
fuelectenerg-618	365	3	epv	epv	NOUN
fuelectenerg-618	365	4	(	(	PUNCT
fuelectenerg-618	365	5	exchange	exchange	NOUN
fuelectenerg-618	365	6	of	of	ADP
fuelectenerg-618	365	7	pairs	pair	NOUN
fuelectenerg-618	365	8	of	of	ADP
fuelectenerg-618	365	9	values	value	NOUN
fuelectenerg-618	365	10	)	)	PUNCT
fuelectenerg-618	365	11	realizes	realize	VERB
fuelectenerg-618	365	12	this	this	DET
fuelectenerg-618	365	13	exchange	exchange	NOUN
fuelectenerg-618	365	14	:	:	PUNCT
fuelectenerg-618	365	15	slst	slst	NOUN
fuelectenerg-618	365	16	(	(	PUNCT
fuelectenerg-618	365	17	v	v	NOUN
fuelectenerg-618	365	18	)	)	PUNCT
fuelectenerg-618	365	19	=	=	SYM
fuelectenerg-618	365	20	epv(sls′(v	epv(sls′(v	NOUN
fuelectenerg-618	365	21	)	)	PUNCT
fuelectenerg-618	365	22	,	,	PUNCT
fuelectenerg-618	365	23	i	i	PROPN
fuelectenerg-618	365	24	)	)	PUNCT
fuelectenerg-618	365	25	.	.	PUNCT
fuelectenerg-618	366	1	(	(	PUNCT
fuelectenerg-618	366	2	26	26	NUM
fuelectenerg-618	366	3	)	)	PUNCT
fuelectenerg-618	366	4	applied	apply	VERB
fuelectenerg-618	366	5	to	to	ADP
fuelectenerg-618	366	6	variables	variable	NOUN
fuelectenerg-618	366	7	vi	vi	PROPN
fuelectenerg-618	366	8	this	this	DET
fuelectenerg-618	366	9	exchange	exchange	NOUN
fuelectenerg-618	366	10	is	be	AUX
fuelectenerg-618	366	11	described	describe	VERB
fuelectenerg-618	366	12	by	by	ADP
fuelectenerg-618	366	13	:	:	PUNCT
fuelectenerg-618	366	14	v(m+2k·2i−1	v(m+2k·2i−1	PROPN
fuelectenerg-618	366	15	)	)	PUNCT
fuelectenerg-618	366	16	⇐	⇐	ADJ
fuelectenerg-618	366	17	⇒	⇒	PROPN
fuelectenerg-618	366	18	v(m+(2k+1)·2i−1	v(m+(2k+1)·2i−1	PROPN
fuelectenerg-618	366	19	)	)	PUNCT
fuelectenerg-618	366	20	,	,	PUNCT
fuelectenerg-618	366	21	(	(	PUNCT
fuelectenerg-618	366	22	27	27	NUM
fuelectenerg-618	366	23	)	)	PUNCT
fuelectenerg-618	366	24	with	with	ADP
fuelectenerg-618	366	25	i	i	PROPN
fuelectenerg-618	366	26	=	=	SYM
fuelectenerg-618	366	27	1,2	1,2	NUM
fuelectenerg-618	366	28	,	,	PUNCT
fuelectenerg-618	366	29	...	...	PUNCT
fuelectenerg-618	366	30	,	,	PUNCT
fuelectenerg-618	366	31	n	n	X
fuelectenerg-618	366	32	,	,	PUNCT
fuelectenerg-618	366	33	m	m	VERB
fuelectenerg-618	366	34	=	=	SYM
fuelectenerg-618	366	35	0,1	0,1	NUM
fuelectenerg-618	366	36	,	,	PUNCT
fuelectenerg-618	366	37	...	...	PUNCT
fuelectenerg-618	366	38	,	,	PUNCT
fuelectenerg-618	366	39	2i−1	2i−1	NUM
fuelectenerg-618	366	40	−1	−1	NOUN
fuelectenerg-618	366	41	,	,	PUNCT
fuelectenerg-618	366	42	k	k	PROPN
fuelectenerg-618	366	43	=	=	SYM
fuelectenerg-618	366	44	0,1	0,1	NUM
fuelectenerg-618	366	45	,	,	PUNCT
fuelectenerg-618	366	46	...	...	PUNCT
fuelectenerg-618	366	47	,	,	PUNCT
fuelectenerg-618	366	48	2n−i	2n−i	NUM
fuelectenerg-618	366	49	−1	−1	NOUN
fuelectenerg-618	366	50	.	.	PUNCT
fuelectenerg-618	367	1	table	table	NOUN
fuelectenerg-618	367	2	3	3	NUM
fuelectenerg-618	367	3	enumerates	enumerate	VERB
fuelectenerg-618	367	4	the	the	DET
fuelectenerg-618	367	5	index	index	NOUN
fuelectenerg-618	367	6	pairs	pair	NOUN
fuelectenerg-618	367	7	which	which	PRON
fuelectenerg-618	367	8	are	be	AUX
fuelectenerg-618	367	9	used	use	VERB
fuelectenerg-618	367	10	in	in	ADP
fuelectenerg-618	367	11	the	the	DET
fuelectenerg-618	367	12	function	function	NOUN
fuelectenerg-618	367	13	epv	epv	NOUN
fuelectenerg-618	367	14	for	for	ADP
fuelectenerg-618	367	15	boolean	boolean	ADJ
fuelectenerg-618	367	16	spaces	space	NOUN
fuelectenerg-618	367	17	up	up	ADP
fuelectenerg-618	367	18	to	to	ADP
fuelectenerg-618	367	19	b	b	NOUN
fuelectenerg-618	367	20	4	4	NUM
fuelectenerg-618	367	21	.	.	PUNCT
fuelectenerg-618	367	22	tab	tab	NOUN
fuelectenerg-618	367	23	.	.	PUNCT
fuelectenerg-618	368	1	3	3	X
fuelectenerg-618	368	2	.	.	X
fuelectenerg-618	368	3	index	index	NOUN
fuelectenerg-618	368	4	pairs	pair	NOUN
fuelectenerg-618	368	5	defined	define	VERB
fuelectenerg-618	368	6	by	by	ADP
fuelectenerg-618	368	7	(	(	PUNCT
fuelectenerg-618	368	8	27	27	NUM
fuelectenerg-618	368	9	)	)	PUNCT
fuelectenerg-618	368	10	for	for	ADP
fuelectenerg-618	368	11	the	the	DET
fuelectenerg-618	368	12	exchange	exchange	NOUN
fuelectenerg-618	368	13	of	of	ADP
fuelectenerg-618	368	14	function	function	NOUN
fuelectenerg-618	368	15	values	value	NOUN
fuelectenerg-618	369	1	i	i	PRON
fuelectenerg-618	369	2	=	=	SYM
fuelectenerg-618	369	3	1	1	NUM
fuelectenerg-618	369	4	i	i	NOUN
fuelectenerg-618	369	5	=	=	NOUN
fuelectenerg-618	369	6	2	2	NUM
fuelectenerg-618	369	7	i	i	NOUN
fuelectenerg-618	369	8	=	=	NOUN
fuelectenerg-618	369	9	3	3	NUM
fuelectenerg-618	369	10	i	i	NOUN
fuelectenerg-618	369	11	=	=	NOUN
fuelectenerg-618	369	12	4	4	NUM
fuelectenerg-618	369	13	0	0	NUM
fuelectenerg-618	369	14	⇔	⇔	X
fuelectenerg-618	369	15	1	1	NUM
fuelectenerg-618	369	16	0	0	NUM
fuelectenerg-618	369	17	⇔	⇔	X
fuelectenerg-618	369	18	2	2	NUM
fuelectenerg-618	369	19	0	0	NUM
fuelectenerg-618	369	20	⇔	⇔	X
fuelectenerg-618	369	21	4	4	NUM
fuelectenerg-618	369	22	0	0	NUM
fuelectenerg-618	369	23	⇔	⇔	X
fuelectenerg-618	369	24	8	8	NUM
fuelectenerg-618	369	25	2	2	NUM
fuelectenerg-618	369	26	⇔	⇔	X
fuelectenerg-618	369	27	3	3	NUM
fuelectenerg-618	369	28	1	1	NUM
fuelectenerg-618	369	29	⇔	⇔	X
fuelectenerg-618	369	30	3	3	NUM
fuelectenerg-618	369	31	1	1	NUM
fuelectenerg-618	369	32	⇔	⇔	X
fuelectenerg-618	369	33	5	5	NUM
fuelectenerg-618	369	34	1	1	NUM
fuelectenerg-618	369	35	⇔	⇔	X
fuelectenerg-618	369	36	9	9	NUM
fuelectenerg-618	369	37	4	4	NUM
fuelectenerg-618	369	38	⇔	⇔	NUM
fuelectenerg-618	369	39	5	5	NUM
fuelectenerg-618	369	40	4	4	NUM
fuelectenerg-618	369	41	⇔	⇔	NUM
fuelectenerg-618	369	42	6	6	NUM
fuelectenerg-618	369	43	2	2	NUM
fuelectenerg-618	369	44	⇔	⇔	NUM
fuelectenerg-618	369	45	6	6	NUM
fuelectenerg-618	369	46	2	2	NUM
fuelectenerg-618	369	47	⇔	⇔	X
fuelectenerg-618	369	48	10	10	NUM
fuelectenerg-618	369	49	6	6	NUM
fuelectenerg-618	369	50	⇔	⇔	PROPN
fuelectenerg-618	369	51	7	7	NUM
fuelectenerg-618	369	52	5	5	NUM
fuelectenerg-618	369	53	⇔	⇔	PROPN
fuelectenerg-618	369	54	7	7	NUM
fuelectenerg-618	369	55	3	3	NUM
fuelectenerg-618	369	56	⇔	⇔	PROPN
fuelectenerg-618	369	57	7	7	NUM
fuelectenerg-618	369	58	3	3	NUM
fuelectenerg-618	369	59	⇔	⇔	X
fuelectenerg-618	369	60	11	11	NUM
fuelectenerg-618	369	61	8	8	NUM
fuelectenerg-618	369	62	⇔	⇔	X
fuelectenerg-618	369	63	9	9	NUM
fuelectenerg-618	369	64	8	8	NUM
fuelectenerg-618	369	65	⇔	⇔	X
fuelectenerg-618	369	66	10	10	NUM
fuelectenerg-618	369	67	8	8	NUM
fuelectenerg-618	369	68	⇔	⇔	X
fuelectenerg-618	369	69	12	12	NUM
fuelectenerg-618	369	70	4	4	NUM
fuelectenerg-618	369	71	⇔	⇔	NOUN
fuelectenerg-618	369	72	12	12	NUM
fuelectenerg-618	369	73	10	10	NUM
fuelectenerg-618	369	74	⇔	⇔	NUM
fuelectenerg-618	369	75	11	11	NUM
fuelectenerg-618	369	76	9	9	NUM
fuelectenerg-618	369	77	⇔	⇔	X
fuelectenerg-618	369	78	11	11	NUM
fuelectenerg-618	369	79	9	9	NUM
fuelectenerg-618	369	80	⇔	⇔	X
fuelectenerg-618	369	81	13	13	NUM
fuelectenerg-618	369	82	5	5	NUM
fuelectenerg-618	369	83	⇔	⇔	X
fuelectenerg-618	369	84	13	13	NUM
fuelectenerg-618	369	85	12	12	NUM
fuelectenerg-618	369	86	⇔	⇔	PROPN
fuelectenerg-618	369	87	13	13	NUM
fuelectenerg-618	369	88	12	12	NUM
fuelectenerg-618	369	89	⇔	⇔	NUM
fuelectenerg-618	369	90	14	14	NUM
fuelectenerg-618	369	91	10	10	NUM
fuelectenerg-618	369	92	⇔	⇔	NUM
fuelectenerg-618	369	93	14	14	NUM
fuelectenerg-618	369	94	6	6	NUM
fuelectenerg-618	369	95	⇔	⇔	NUM
fuelectenerg-618	369	96	14	14	NUM
fuelectenerg-618	369	97	14	14	NUM
fuelectenerg-618	369	98	⇔	⇔	NUM
fuelectenerg-618	369	99	15	15	NUM
fuelectenerg-618	369	100	13	13	NUM
fuelectenerg-618	369	101	⇔	⇔	NUM
fuelectenerg-618	369	102	15	15	NUM
fuelectenerg-618	369	103	11	11	NUM
fuelectenerg-618	369	104	⇔	⇔	NUM
fuelectenerg-618	369	105	15	15	NUM
fuelectenerg-618	369	106	7	7	NUM
fuelectenerg-618	369	107	⇔	⇔	X
fuelectenerg-618	369	108	15	15	NUM
fuelectenerg-618	369	109	the	the	DET
fuelectenerg-618	369	110	intersection	intersection	NOUN
fuelectenerg-618	369	111	of	of	ADP
fuelectenerg-618	369	112	the	the	DET
fuelectenerg-618	369	113	given	give	VERB
fuelectenerg-618	369	114	set	set	VERB
fuelectenerg-618	369	115	sls′(v	sls′(v	NOUN
fuelectenerg-618	369	116	)	)	PUNCT
fuelectenerg-618	369	117	with	with	ADP
fuelectenerg-618	369	118	the	the	DET
fuelectenerg-618	369	119	exchanged	exchange	VERB
fuelectenerg-618	369	120	set	set	VERB
fuelectenerg-618	369	121	slst	slst	NOUN
fuelectenerg-618	369	122	(	(	PUNCT
fuelectenerg-618	369	123	v	v	NOUN
fuelectenerg-618	369	124	)	)	PUNCT
fuelectenerg-618	369	125	for	for	ADP
fuelectenerg-618	369	126	all	all	DET
fuelectenerg-618	369	127	variables	variable	NOUN
fuelectenerg-618	369	128	xi	xi	X
fuelectenerg-618	369	129	separates	separate	VERB
fuelectenerg-618	369	130	the	the	DET
fuelectenerg-618	369	131	set	set	NOUN
fuelectenerg-618	369	132	of	of	ADP
fuelectenerg-618	369	133	global	global	ADJ
fuelectenerg-618	369	134	solution	solution	NOUN
fuelectenerg-618	369	135	functions	function	NOUN
fuelectenerg-618	369	136	from	from	ADP
fuelectenerg-618	369	137	the	the	DET
fuelectenerg-618	369	138	local	local	ADJ
fuelectenerg-618	369	139	solutions	solution	NOUN
fuelectenerg-618	369	140	which	which	PRON
fuelectenerg-618	369	141	are	be	AUX
fuelectenerg-618	369	142	not	not	PART
fuelectenerg-618	369	143	sufficient	sufficient	ADJ
fuelectenerg-618	369	144	.	.	PUNCT
fuelectenerg-618	370	1	algorithm	algorithm	NOUN
fuelectenerg-618	370	2	1	1	NUM
fuelectenerg-618	370	3	describes	describe	VERB
fuelectenerg-618	370	4	the	the	DET
fuelectenerg-618	370	5	procedure	procedure	NOUN
fuelectenerg-618	370	6	to	to	PART
fuelectenerg-618	370	7	solve	solve	VERB
fuelectenerg-618	370	8	the	the	DET
fuelectenerg-618	370	9	bde	bde	PROPN
fuelectenerg-618	370	10	(	(	PUNCT
fuelectenerg-618	370	11	19	19	NUM
fuelectenerg-618	370	12	)	)	PUNCT
fuelectenerg-618	370	13	in	in	ADP
fuelectenerg-618	370	14	detail	detail	NOUN
fuelectenerg-618	370	15	.	.	PUNCT
fuelectenerg-618	371	1	the	the	DET
fuelectenerg-618	371	2	solution	solution	NOUN
fuelectenerg-618	371	3	vectors	vector	VERB
fuelectenerg-618	371	4	v	v	ADP
fuelectenerg-618	371	5	of	of	ADP
fuelectenerg-618	371	6	algorithm	algorithm	NOUN
fuelectenerg-618	371	7	1	1	NUM
fuelectenerg-618	371	8	specify	specify	VERB
fuelectenerg-618	371	9	,	,	PUNCT
fuelectenerg-618	371	10	substituted	substitute	VERB
fuelectenerg-618	371	11	into	into	ADP
fuelectenerg-618	371	12	(	(	PUNCT
fuelectenerg-618	371	13	28	28	NUM
fuelectenerg-618	371	14	)	)	PUNCT
fuelectenerg-618	371	15	,	,	PUNCT
fuelectenerg-618	371	16	all	all	DET
fuelectenerg-618	371	17	solution	solution	NOUN
fuelectenerg-618	371	18	functions	function	NOUN
fuelectenerg-618	371	19	of	of	ADP
fuelectenerg-618	371	20	the	the	DET
fuelectenerg-618	371	21	bde	bde	PROPN
fuelectenerg-618	371	22	(	(	PUNCT
fuelectenerg-618	371	23	19	19	NUM
fuelectenerg-618	371	24	)	)	PUNCT
fuelectenerg-618	371	25	.	.	PUNCT
fuelectenerg-618	372	1	f	f	PROPN
fuelectenerg-618	372	2	(	(	PUNCT
fuelectenerg-618	372	3	x1,x2	x1,x2	PROPN
fuelectenerg-618	372	4	,	,	PUNCT
fuelectenerg-618	372	5	.	.	PUNCT
fuelectenerg-618	372	6	.	.	PUNCT
fuelectenerg-618	372	7	.	.	PUNCT
fuelectenerg-618	373	1	,	,	PUNCT
fuelectenerg-618	373	2	xn	xn	X
fuelectenerg-618	373	3	)	)	PUNCT
fuelectenerg-618	374	1	=	=	SYM
fuelectenerg-618	375	1	x1	x1	NUM
fuelectenerg-618	376	1	x2	x2	INTJ
fuelectenerg-618	376	2	.	.	PUNCT
fuelectenerg-618	376	3	.	.	PUNCT
fuelectenerg-618	376	4	.	.	PUNCT
fuelectenerg-618	377	1	xn	xn	PROPN
fuelectenerg-618	378	1	∧	∧	PROPN
fuelectenerg-618	378	2	v0	v0	PROPN
fuelectenerg-618	378	3	∨	∨	NUM
fuelectenerg-618	378	4	x1	x1	PROPN
fuelectenerg-618	379	1	x2	x2	PROPN
fuelectenerg-618	379	2	.	.	PUNCT
fuelectenerg-618	379	3	.	.	PUNCT
fuelectenerg-618	379	4	.	.	PUNCT
fuelectenerg-618	380	1	xn	xn	PROPN
fuelectenerg-618	381	1	∧	∧	PROPN
fuelectenerg-618	381	2	v1	v1	PROPN
fuelectenerg-618	381	3	∨	∨	NOUN
fuelectenerg-618	381	4	.	.	PUNCT
fuelectenerg-618	381	5	.	.	PUNCT
fuelectenerg-618	382	1	.∨	.∨	PUNCT
fuelectenerg-618	383	1	(	(	PUNCT
fuelectenerg-618	383	2	28	28	NUM
fuelectenerg-618	383	3	)	)	PUNCT
fuelectenerg-618	383	4	x1	x1	PROPN
fuelectenerg-618	384	1	x2	x2	INTJ
fuelectenerg-618	384	2	.	.	PUNCT
fuelectenerg-618	384	3	.	.	PUNCT
fuelectenerg-618	384	4	.	.	PUNCT
fuelectenerg-618	385	1	xn	xn	PROPN
fuelectenerg-618	386	1	∧	∧	PROPN
fuelectenerg-618	386	2	v2n−1	v2n−1	PROPN
fuelectenerg-618	386	3	3.3	3.3	NUM
fuelectenerg-618	386	4	bdes	bde	NOUN
fuelectenerg-618	386	5	of	of	ADP
fuelectenerg-618	386	6	simple	simple	ADJ
fuelectenerg-618	386	7	and	and	CCONJ
fuelectenerg-618	386	8	vectorial	vectorial	ADJ
fuelectenerg-618	386	9	derivatives	derivative	NOUN
fuelectenerg-618	386	10	as	as	ADV
fuelectenerg-618	386	11	well	well	ADV
fuelectenerg-618	386	12	as	as	ADP
fuelectenerg-618	386	13	variables	variable	NOUN
fuelectenerg-618	386	14	separation	separation	NOUN
fuelectenerg-618	386	15	of	of	ADP
fuelectenerg-618	386	16	arbitrary	arbitrary	ADJ
fuelectenerg-618	386	17	function	function	NOUN
fuelectenerg-618	386	18	sets	set	VERB
fuelectenerg-618	386	19	the	the	DET
fuelectenerg-618	386	20	solution	solution	NOUN
fuelectenerg-618	386	21	of	of	ADP
fuelectenerg-618	386	22	a	a	DET
fuelectenerg-618	386	23	boolean	boolean	ADJ
fuelectenerg-618	386	24	differential	differential	ADJ
fuelectenerg-618	386	25	equation	equation	NOUN
fuelectenerg-618	386	26	of	of	ADP
fuelectenerg-618	386	27	the	the	DET
fuelectenerg-618	386	28	type	type	NOUN
fuelectenerg-618	386	29	(	(	PUNCT
fuelectenerg-618	386	30	18	18	NUM
fuelectenerg-618	386	31	)	)	PUNCT
fuelectenerg-618	386	32	is	be	AUX
fuelectenerg-618	386	33	a	a	DET
fuelectenerg-618	386	34	set	set	NOUN
fuelectenerg-618	386	35	of	of	ADP
fuelectenerg-618	386	36	function	function	NOUN
fuelectenerg-618	386	37	classes	class	NOUN
fuelectenerg-618	386	38	characterized	characterize	VERB
fuelectenerg-618	386	39	by	by	ADP
fuelectenerg-618	386	40	(	(	PUNCT
fuelectenerg-618	386	41	24	24	NUM
fuelectenerg-618	386	42	)	)	PUNCT
fuelectenerg-618	386	43	.	.	PUNCT
fuelectenerg-618	387	1	additional	additional	ADJ
fuelectenerg-618	387	2	boolean	boolean	ADJ
fuelectenerg-618	387	3	variables	variable	NOUN
fuelectenerg-618	387	4	x	x	VERB
fuelectenerg-618	387	5	in	in	ADP
fuelectenerg-618	387	6	a	a	DET
fuelectenerg-618	387	7	boolean	boolean	ADJ
fuelectenerg-618	387	8	differential	differential	ADJ
fuelectenerg-618	387	9	equation	equation	NOUN
fuelectenerg-618	387	10	of	of	ADP
fuelectenerg-618	387	11	the	the	DET
fuelectenerg-618	387	12	type	type	NOUN
fuelectenerg-618	387	13	(	(	PUNCT
fuelectenerg-618	387	14	29	29	NUM
fuelectenerg-618	387	15	)	)	PUNCT
fuelectenerg-618	387	16	restrict	restrict	VERB
fuelectenerg-618	387	17	the	the	DET
fuelectenerg-618	387	18	derivatives	derivative	NOUN
fuelectenerg-618	387	19	to	to	ADP
fuelectenerg-618	387	20	certain	certain	ADJ
fuelectenerg-618	387	21	points	point	NOUN
fuelectenerg-618	387	22	of	of	ADP
fuelectenerg-618	387	23	the	the	DET
fuelectenerg-618	387	24	boolean	boolean	ADJ
fuelectenerg-618	387	25	differential	differential	ADJ
fuelectenerg-618	387	26	equations	equation	NOUN
fuelectenerg-618	387	27	a	a	DET
fuelectenerg-618	387	28	common	common	ADJ
fuelectenerg-618	387	29	model	model	NOUN
fuelectenerg-618	387	30	for	for	ADP
fuelectenerg-618	387	31	classes	class	NOUN
fuelectenerg-618	387	32	,	,	PUNCT
fuelectenerg-618	387	33	lattices	lattice	NOUN
fuelectenerg-618	387	34	,	,	PUNCT
fuelectenerg-618	387	35	...	...	PUNCT
fuelectenerg-618	387	36	111	111	NUM
fuelectenerg-618	387	37	algorithm	algorithm	NOUN
fuelectenerg-618	387	38	1	1	NUM
fuelectenerg-618	387	39	separation	separation	NOUN
fuelectenerg-618	387	40	of	of	ADP
fuelectenerg-618	387	41	function	function	NOUN
fuelectenerg-618	387	42	classes	class	NOUN
fuelectenerg-618	387	43	require	require	VERB
fuelectenerg-618	387	44	:	:	PUNCT
fuelectenerg-618	387	45	bde	bde	PROPN
fuelectenerg-618	387	46	(	(	PUNCT
fuelectenerg-618	387	47	19	19	NUM
fuelectenerg-618	387	48	)	)	PUNCT
fuelectenerg-618	387	49	with	with	ADP
fuelectenerg-618	387	50	function	function	NOUN
fuelectenerg-618	387	51	f	f	PROPN
fuelectenerg-618	387	52	(	(	PUNCT
fuelectenerg-618	387	53	x	x	X
fuelectenerg-618	387	54	)	)	PUNCT
fuelectenerg-618	387	55	containing	contain	VERB
fuelectenerg-618	387	56	n	n	DET
fuelectenerg-618	387	57	variables	variable	NOUN
fuelectenerg-618	387	58	ensure	ensure	VERB
fuelectenerg-618	387	59	:	:	PUNCT
fuelectenerg-618	387	60	set	set	NOUN
fuelectenerg-618	387	61	of	of	ADP
fuelectenerg-618	387	62	boolean	boolean	ADJ
fuelectenerg-618	387	63	vectors	vector	NOUN
fuelectenerg-618	387	64	v	v	NOUN
fuelectenerg-618	387	65	=	=	SYM
fuelectenerg-618	387	66	(	(	PUNCT
fuelectenerg-618	387	67	v0,v1	v0,v1	PROPN
fuelectenerg-618	387	68	,	,	PUNCT
fuelectenerg-618	387	69	.	.	PUNCT
fuelectenerg-618	387	70	.	.	PUNCT
fuelectenerg-618	387	71	.	.	PUNCT
fuelectenerg-618	388	1	,	,	PUNCT
fuelectenerg-618	388	2	v2n−1	v2n−1	PROPN
fuelectenerg-618	388	3	)	)	PUNCT
fuelectenerg-618	388	4	that	that	PRON
fuelectenerg-618	388	5	describe	describe	VERB
fuelectenerg-618	388	6	,	,	PUNCT
fuelectenerg-618	388	7	substituted	substitute	VERB
fuelectenerg-618	388	8	in	in	ADP
fuelectenerg-618	388	9	(	(	PUNCT
fuelectenerg-618	388	10	28	28	NUM
fuelectenerg-618	388	11	)	)	PUNCT
fuelectenerg-618	388	12	,	,	PUNCT
fuelectenerg-618	388	13	the	the	DET
fuelectenerg-618	388	14	set	set	NOUN
fuelectenerg-618	388	15	of	of	ADP
fuelectenerg-618	388	16	all	all	DET
fuelectenerg-618	388	17	solution	solution	NOUN
fuelectenerg-618	388	18	functions	function	NOUN
fuelectenerg-618	388	19	of	of	ADP
fuelectenerg-618	388	20	the	the	DET
fuelectenerg-618	388	21	bde	bde	PROPN
fuelectenerg-618	388	22	(	(	PUNCT
fuelectenerg-618	388	23	19	19	NUM
fuelectenerg-618	388	24	)	)	PUNCT
fuelectenerg-618	388	25	1	1	NUM
fuelectenerg-618	388	26	:	:	PUNCT
fuelectenerg-618	388	27	sls(u	sls(u	PROPN
fuelectenerg-618	388	28	)	)	PUNCT
fuelectenerg-618	388	29	←	←	PROPN
fuelectenerg-618	388	30	solution	solution	NOUN
fuelectenerg-618	388	31	of	of	ADP
fuelectenerg-618	388	32	be	be	AUX
fuelectenerg-618	388	33	(	(	PUNCT
fuelectenerg-618	388	34	21	21	NUM
fuelectenerg-618	388	35	)	)	PUNCT
fuelectenerg-618	388	36	associated	associate	VERB
fuelectenerg-618	388	37	with	with	ADP
fuelectenerg-618	388	38	bde	bde	PROPN
fuelectenerg-618	388	39	(	(	PUNCT
fuelectenerg-618	388	40	19	19	NUM
fuelectenerg-618	388	41	)	)	PUNCT
fuelectenerg-618	388	42	2	2	NUM
fuelectenerg-618	388	43	:	:	PUNCT
fuelectenerg-618	388	44	sls′(v	sls′(v	PROPN
fuelectenerg-618	388	45	)	)	PUNCT
fuelectenerg-618	388	46	←	←	PROPN
fuelectenerg-618	388	47	d2v(sls(u	d2v(sls(u	PROPN
fuelectenerg-618	388	48	)	)	PUNCT
fuelectenerg-618	388	49	)	)	PUNCT
fuelectenerg-618	389	1	3	3	NUM
fuelectenerg-618	389	2	:	:	PUNCT
fuelectenerg-618	389	3	for	for	ADP
fuelectenerg-618	389	4	i	i	PRON
fuelectenerg-618	389	5	←	←	PROPN
fuelectenerg-618	389	6	1	1	NUM
fuelectenerg-618	389	7	to	to	PART
fuelectenerg-618	389	8	n	n	PRON
fuelectenerg-618	389	9	do	do	VERB
fuelectenerg-618	389	10	4	4	NUM
fuelectenerg-618	389	11	:	:	PUNCT
fuelectenerg-618	389	12	slst	slst	NOUN
fuelectenerg-618	389	13	(	(	PUNCT
fuelectenerg-618	389	14	v	v	NOUN
fuelectenerg-618	389	15	)	)	PUNCT
fuelectenerg-618	389	16	←	←	PROPN
fuelectenerg-618	389	17	epv(sls′(v	epv(sls′(v	PROPN
fuelectenerg-618	389	18	)	)	PUNCT
fuelectenerg-618	389	19	,	,	PUNCT
fuelectenerg-618	389	20	i	i	NOUN
fuelectenerg-618	389	21	)	)	PUNCT
fuelectenerg-618	389	22	5	5	NUM
fuelectenerg-618	389	23	:	:	PUNCT
fuelectenerg-618	389	24	sls′(v	sls′(v	PROPN
fuelectenerg-618	389	25	)	)	PUNCT
fuelectenerg-618	389	26	←	←	PROPN
fuelectenerg-618	389	27	sls′(v)∩slst	sls′(v)∩slst	NOUN
fuelectenerg-618	389	28	(	(	PUNCT
fuelectenerg-618	389	29	v	v	NOUN
fuelectenerg-618	389	30	)	)	PUNCT
fuelectenerg-618	389	31	6	6	NUM
fuelectenerg-618	389	32	:	:	PUNCT
fuelectenerg-618	389	33	end	end	VERB
fuelectenerg-618	389	34	for	for	ADP
fuelectenerg-618	389	35	boolean	boolean	ADJ
fuelectenerg-618	389	36	space	space	NOUN
fuelectenerg-618	389	37	.	.	PUNCT
fuelectenerg-618	390	1	therefore	therefore	ADV
fuelectenerg-618	390	2	,	,	PUNCT
fuelectenerg-618	390	3	selected	select	VERB
fuelectenerg-618	390	4	functions	function	NOUN
fuelectenerg-618	390	5	of	of	ADP
fuelectenerg-618	390	6	the	the	DET
fuelectenerg-618	390	7	function	function	NOUN
fuelectenerg-618	390	8	classes	class	NOUN
fuelectenerg-618	390	9	can	can	AUX
fuelectenerg-618	390	10	belong	belong	VERB
fuelectenerg-618	390	11	to	to	ADP
fuelectenerg-618	390	12	the	the	DET
fuelectenerg-618	390	13	set	set	NOUN
fuelectenerg-618	390	14	of	of	ADP
fuelectenerg-618	390	15	solution	solution	NOUN
fuelectenerg-618	390	16	functions	function	NOUN
fuelectenerg-618	390	17	.	.	PUNCT
fuelectenerg-618	391	1	hence	hence	ADV
fuelectenerg-618	391	2	,	,	PUNCT
fuelectenerg-618	391	3	a	a	DET
fuelectenerg-618	391	4	bde	bde	PROPN
fuelectenerg-618	391	5	(	(	PUNCT
fuelectenerg-618	391	6	29	29	NUM
fuelectenerg-618	391	7	)	)	PUNCT
fuelectenerg-618	391	8	has	have	VERB
fuelectenerg-618	391	9	an	an	DET
fuelectenerg-618	391	10	arbitrary	arbitrary	ADJ
fuelectenerg-618	391	11	set	set	NOUN
fuelectenerg-618	391	12	of	of	ADP
fuelectenerg-618	391	13	boolean	boolean	ADJ
fuelectenerg-618	391	14	functions	function	NOUN
fuelectenerg-618	391	15	as	as	ADP
fuelectenerg-618	391	16	solution	solution	NOUN
fuelectenerg-618	391	17	.	.	PUNCT
fuelectenerg-618	392	1	dl	dl	PROPN
fuelectenerg-618	392	2	(	(	PUNCT
fuelectenerg-618	392	3	f	f	PROPN
fuelectenerg-618	392	4	(	(	PUNCT
fuelectenerg-618	392	5	x	x	NOUN
fuelectenerg-618	392	6	)	)	PUNCT
fuelectenerg-618	392	7	,	,	PUNCT
fuelectenerg-618	392	8	∂	∂	NUM
fuelectenerg-618	392	9	f	f	X
fuelectenerg-618	392	10	(	(	PUNCT
fuelectenerg-618	392	11	x	x	X
fuelectenerg-618	392	12	)	)	PUNCT
fuelectenerg-618	392	13	∂x1	∂x1	NOUN
fuelectenerg-618	392	14	,	,	PUNCT
fuelectenerg-618	392	15	∂	∂	NUM
fuelectenerg-618	392	16	f	f	NOUN
fuelectenerg-618	392	17	(	(	PUNCT
fuelectenerg-618	392	18	x	x	NOUN
fuelectenerg-618	392	19	)	)	PUNCT
fuelectenerg-618	392	20	∂x2	∂x2	NOUN
fuelectenerg-618	392	21	,	,	PUNCT
fuelectenerg-618	392	22	.	.	PUNCT
fuelectenerg-618	392	23	.	.	PUNCT
fuelectenerg-618	393	1	.	.	PUNCT
fuelectenerg-618	394	1	,	,	PUNCT
fuelectenerg-618	394	2	∂	∂	NUM
fuelectenerg-618	394	3	f	f	X
fuelectenerg-618	394	4	(	(	PUNCT
fuelectenerg-618	394	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	394	6	)	)	PUNCT
fuelectenerg-618	394	7	∂x0	∂x0	PROPN
fuelectenerg-618	394	8	.	.	PUNCT
fuelectenerg-618	394	9	.	.	PUNCT
fuelectenerg-618	395	1	.	.	PUNCT
fuelectenerg-618	396	1	,	,	PUNCT
fuelectenerg-618	396	2	∂	∂	NUM
fuelectenerg-618	396	3	f	f	X
fuelectenerg-618	396	4	(	(	PUNCT
fuelectenerg-618	396	5	x	x	X
fuelectenerg-618	396	6	)	)	PUNCT
fuelectenerg-618	396	7	∂x	∂x	PROPN
fuelectenerg-618	396	8	,	,	PUNCT
fuelectenerg-618	396	9	x	x	SYM
fuelectenerg-618	396	10	)	)	PUNCT
fuelectenerg-618	397	1	=	=	SYM
fuelectenerg-618	397	2	dr	dr	PROPN
fuelectenerg-618	397	3	(	(	PUNCT
fuelectenerg-618	397	4	f	f	PROPN
fuelectenerg-618	397	5	(	(	PUNCT
fuelectenerg-618	397	6	x	x	NOUN
fuelectenerg-618	397	7	)	)	PUNCT
fuelectenerg-618	397	8	,	,	PUNCT
fuelectenerg-618	397	9	∂	∂	NUM
fuelectenerg-618	397	10	f	f	X
fuelectenerg-618	397	11	(	(	PUNCT
fuelectenerg-618	397	12	x	x	X
fuelectenerg-618	397	13	)	)	PUNCT
fuelectenerg-618	397	14	∂x1	∂x1	NOUN
fuelectenerg-618	397	15	,	,	PUNCT
fuelectenerg-618	397	16	∂	∂	NUM
fuelectenerg-618	397	17	f	f	NOUN
fuelectenerg-618	397	18	(	(	PUNCT
fuelectenerg-618	397	19	x	x	NOUN
fuelectenerg-618	397	20	)	)	PUNCT
fuelectenerg-618	397	21	∂x2	∂x2	NOUN
fuelectenerg-618	397	22	,	,	PUNCT
fuelectenerg-618	397	23	.	.	PUNCT
fuelectenerg-618	397	24	.	.	PUNCT
fuelectenerg-618	397	25	.	.	PUNCT
fuelectenerg-618	398	1	,	,	PUNCT
fuelectenerg-618	398	2	∂	∂	NUM
fuelectenerg-618	398	3	f	f	X
fuelectenerg-618	398	4	(	(	PUNCT
fuelectenerg-618	398	5	x0,x1	x0,x1	PROPN
fuelectenerg-618	398	6	)	)	PUNCT
fuelectenerg-618	398	7	∂x0	∂x0	PROPN
fuelectenerg-618	398	8	.	.	PUNCT
fuelectenerg-618	398	9	.	.	PUNCT
fuelectenerg-618	399	1	.	.	PUNCT
fuelectenerg-618	400	1	,	,	PUNCT
fuelectenerg-618	400	2	∂	∂	NUM
fuelectenerg-618	400	3	f	f	X
fuelectenerg-618	400	4	(	(	PUNCT
fuelectenerg-618	400	5	x	x	X
fuelectenerg-618	400	6	)	)	PUNCT
fuelectenerg-618	400	7	∂x	∂x	PROPN
fuelectenerg-618	400	8	,	,	PUNCT
fuelectenerg-618	400	9	x	x	PROPN
fuelectenerg-618	400	10	)	)	PUNCT
fuelectenerg-618	400	11	.	.	PUNCT
fuelectenerg-618	401	1	(	(	PUNCT
fuelectenerg-618	401	2	29	29	NUM
fuelectenerg-618	401	3	)	)	PUNCT
fuelectenerg-618	401	4	a	a	DET
fuelectenerg-618	401	5	bde	bde	PROPN
fuelectenerg-618	401	6	(	(	PUNCT
fuelectenerg-618	401	7	29	29	NUM
fuelectenerg-618	401	8	)	)	PUNCT
fuelectenerg-618	401	9	can	can	AUX
fuelectenerg-618	401	10	be	be	AUX
fuelectenerg-618	401	11	solved	solve	VERB
fuelectenerg-618	401	12	using	use	VERB
fuelectenerg-618	401	13	a	a	DET
fuelectenerg-618	401	14	slightly	slightly	ADV
fuelectenerg-618	401	15	modified	modify	VERB
fuelectenerg-618	401	16	algorithm	algorithm	NOUN
fuelectenerg-618	401	17	.	.	PUNCT
fuelectenerg-618	402	1	the	the	DET
fuelectenerg-618	402	2	variables	variable	NOUN
fuelectenerg-618	402	3	x	x	PUNCT
fuelectenerg-618	402	4	remain	remain	VERB
fuelectenerg-618	402	5	in	in	ADP
fuelectenerg-618	402	6	the	the	DET
fuelectenerg-618	402	7	associated	associated	ADJ
fuelectenerg-618	402	8	boolean	boolean	ADJ
fuelectenerg-618	402	9	equation	equation	NOUN
fuelectenerg-618	402	10	(	(	PUNCT
fuelectenerg-618	402	11	30	30	NUM
fuelectenerg-618	402	12	)	)	PUNCT
fuelectenerg-618	402	13	associated	associate	VERB
fuelectenerg-618	402	14	to	to	ADP
fuelectenerg-618	402	15	(	(	PUNCT
fuelectenerg-618	402	16	29	29	NUM
fuelectenerg-618	402	17	):	):	PUNCT
fuelectenerg-618	402	18	dl(u0,u1	dl(u0,u1	NUM
fuelectenerg-618	402	19	,	,	PUNCT
fuelectenerg-618	402	20	.	.	PUNCT
fuelectenerg-618	402	21	.	.	PUNCT
fuelectenerg-618	402	22	.	.	PUNCT
fuelectenerg-618	403	1	,	,	PUNCT
fuelectenerg-618	403	2	u2n−1,x1,x2	u2n−1,x1,x2	PROPN
fuelectenerg-618	403	3	,	,	PUNCT
fuelectenerg-618	403	4	.	.	PUNCT
fuelectenerg-618	403	5	.	.	PUNCT
fuelectenerg-618	403	6	.	.	PUNCT
fuelectenerg-618	404	1	,	,	PUNCT
fuelectenerg-618	404	2	xn	xn	X
fuelectenerg-618	404	3	)	)	PUNCT
fuelectenerg-618	404	4	=	=	SYM
fuelectenerg-618	404	5	dr(u0,u1	dr(u0,u1	PROPN
fuelectenerg-618	404	6	,	,	PUNCT
fuelectenerg-618	404	7	.	.	PUNCT
fuelectenerg-618	404	8	.	.	PUNCT
fuelectenerg-618	404	9	.	.	PUNCT
fuelectenerg-618	405	1	,	,	PUNCT
fuelectenerg-618	405	2	u2n−1,x1,x2	u2n−1,x1,x2	PROPN
fuelectenerg-618	405	3	,	,	PUNCT
fuelectenerg-618	405	4	.	.	PUNCT
fuelectenerg-618	405	5	.	.	PUNCT
fuelectenerg-618	405	6	.	.	PUNCT
fuelectenerg-618	406	1	,	,	PUNCT
fuelectenerg-618	406	2	xn	xn	PROPN
fuelectenerg-618	406	3	)	)	PUNCT
fuelectenerg-618	406	4	.	.	PUNCT
fuelectenerg-618	407	1	(	(	PUNCT
fuelectenerg-618	407	2	30	30	NUM
fuelectenerg-618	407	3	)	)	PUNCT
fuelectenerg-618	407	4	a	a	DET
fuelectenerg-618	407	5	detailed	detailed	ADJ
fuelectenerg-618	407	6	analysis	analysis	NOUN
fuelectenerg-618	407	7	in	in	ADP
fuelectenerg-618	407	8	[	[	X
fuelectenerg-618	407	9	4	4	X
fuelectenerg-618	407	10	]	]	PUNCT
fuelectenerg-618	407	11	reveals	reveal	VERB
fuelectenerg-618	407	12	that	that	SCONJ
fuelectenerg-618	407	13	the	the	DET
fuelectenerg-618	407	14	local	local	ADJ
fuelectenerg-618	407	15	solutions	solution	NOUN
fuelectenerg-618	407	16	must	must	AUX
fuelectenerg-618	407	17	be	be	AUX
fuelectenerg-618	407	18	split	split	VERB
fuelectenerg-618	407	19	into	into	ADP
fuelectenerg-618	407	20	the	the	DET
fuelectenerg-618	407	21	cofactors	cofactor	NOUN
fuelectenerg-618	407	22	s0	s0	NOUN
fuelectenerg-618	407	23	for	for	ADP
fuelectenerg-618	407	24	xi	xi	PROPN
fuelectenerg-618	407	25	=	=	SYM
fuelectenerg-618	407	26	0	0	NUM
fuelectenerg-618	407	27	and	and	CCONJ
fuelectenerg-618	407	28	s1	s1	NOUN
fuelectenerg-618	407	29	for	for	ADP
fuelectenerg-618	407	30	xi	xi	PROPN
fuelectenerg-618	407	31	=	=	SYM
fuelectenerg-618	407	32	1	1	NUM
fuelectenerg-618	407	33	and	and	CCONJ
fuelectenerg-618	407	34	the	the	DET
fuelectenerg-618	407	35	exchange	exchange	NOUN
fuelectenerg-618	407	36	of	of	ADP
fuelectenerg-618	407	37	function	function	NOUN
fuelectenerg-618	407	38	pairs	pair	NOUN
fuelectenerg-618	407	39	must	must	AUX
fuelectenerg-618	407	40	be	be	AUX
fuelectenerg-618	407	41	restricted	restrict	VERB
fuelectenerg-618	407	42	to	to	ADP
fuelectenerg-618	407	43	s1	s1	PROPN
fuelectenerg-618	407	44	.	.	PUNCT
fuelectenerg-618	408	1	algorithm	algorithm	PROPN
fuelectenerg-618	408	2	2	2	NUM
fuelectenerg-618	408	3	describes	describe	VERB
fuelectenerg-618	408	4	the	the	DET
fuelectenerg-618	408	5	detailed	detailed	ADJ
fuelectenerg-618	408	6	steps	step	NOUN
fuelectenerg-618	408	7	to	to	PART
fuelectenerg-618	408	8	solve	solve	VERB
fuelectenerg-618	408	9	a	a	DET
fuelectenerg-618	408	10	bde	bde	NOUN
fuelectenerg-618	408	11	(	(	PUNCT
fuelectenerg-618	408	12	29	29	NUM
fuelectenerg-618	408	13	)	)	PUNCT
fuelectenerg-618	408	14	.	.	PUNCT
fuelectenerg-618	409	1	3.4	3.4	NUM
fuelectenerg-618	409	2	more	more	ADJ
fuelectenerg-618	409	3	general	general	ADJ
fuelectenerg-618	409	4	boolean	boolean	ADJ
fuelectenerg-618	409	5	differential	differential	ADJ
fuelectenerg-618	409	6	equations	equation	NOUN
fuelectenerg-618	409	7	in	in	ADP
fuelectenerg-618	409	8	addition	addition	NOUN
fuelectenerg-618	409	9	to	to	ADP
fuelectenerg-618	409	10	the	the	DET
fuelectenerg-618	409	11	simple	simple	ADJ
fuelectenerg-618	409	12	and	and	CCONJ
fuelectenerg-618	409	13	vectorial	vectorial	ADJ
fuelectenerg-618	409	14	derivatives	derivative	NOUN
fuelectenerg-618	409	15	all	all	DET
fuelectenerg-618	409	16	other	other	ADJ
fuelectenerg-618	409	17	derivative	derivative	ADJ
fuelectenerg-618	409	18	operations	operation	NOUN
fuelectenerg-618	409	19	can	can	AUX
fuelectenerg-618	409	20	be	be	AUX
fuelectenerg-618	409	21	used	use	VERB
fuelectenerg-618	409	22	within	within	ADP
fuelectenerg-618	409	23	a	a	DET
fuelectenerg-618	409	24	bde	bde	NOUN
fuelectenerg-618	409	25	.	.	PUNCT
fuelectenerg-618	410	1	we	we	PRON
fuelectenerg-618	410	2	do	do	AUX
fuelectenerg-618	410	3	not	not	PART
fuelectenerg-618	410	4	need	need	VERB
fuelectenerg-618	410	5	special	special	ADJ
fuelectenerg-618	410	6	solution	solution	NOUN
fuelectenerg-618	410	7	algorithms	algorithm	NOUN
fuelectenerg-618	410	8	for	for	ADP
fuelectenerg-618	410	9	such	such	ADJ
fuelectenerg-618	410	10	more	more	ADV
fuelectenerg-618	410	11	general	general	ADJ
fuelectenerg-618	410	12	boolean	boolean	ADJ
fuelectenerg-618	410	13	differential	differential	NOUN
fuelectenerg-618	410	14	equations	equation	NOUN
fuelectenerg-618	410	15	because	because	SCONJ
fuelectenerg-618	410	16	the	the	DET
fuelectenerg-618	410	17	theorems	theorem	NOUN
fuelectenerg-618	410	18	of	of	ADP
fuelectenerg-618	410	19	the	the	DET
fuelectenerg-618	410	20	bdc	bdc	PROPN
fuelectenerg-618	410	21	allow	allow	VERB
fuelectenerg-618	410	22	us	we	PRON
fuelectenerg-618	410	23	the	the	DET
fuelectenerg-618	410	24	transformation	transformation	NOUN
fuelectenerg-618	410	25	of	of	ADP
fuelectenerg-618	410	26	all	all	DET
fuelectenerg-618	410	27	types	type	NOUN
fuelectenerg-618	410	28	of	of	ADP
fuelectenerg-618	410	29	derivative	derivative	ADJ
fuelectenerg-618	410	30	operations	operation	NOUN
fuelectenerg-618	410	31	into	into	ADP
fuelectenerg-618	410	32	the	the	DET
fuelectenerg-618	410	33	elements	element	NOUN
fuelectenerg-618	410	34	of	of	ADP
fuelectenerg-618	410	35	∇	∇	X
fuelectenerg-618	410	36	f	f	X
fuelectenerg-618	410	37	(	(	PUNCT
fuelectenerg-618	410	38	x	x	X
fuelectenerg-618	410	39	)	)	PUNCT
fuelectenerg-618	410	40	60	60	NUM
fuelectenerg-618	410	41	b.	b.	PROPN
fuelectenerg-618	410	42	steinbach	steinbach	PROPN
fuelectenerg-618	410	43	,	,	PUNCT
fuelectenerg-618	410	44	c.	c.	PROPN
fuelectenerg-618	410	45	posthoff	posthoff	PROPN
fuelectenerg-618	410	46	boolean	boolean	ADJ
fuelectenerg-618	410	47	differential	differential	ADJ
fuelectenerg-618	410	48	equations	equation	NOUN
fuelectenerg-618	410	49	–	–	PUNCT
fuelectenerg-618	410	50	a	a	DET
fuelectenerg-618	410	51	common	common	ADJ
fuelectenerg-618	410	52	model	model	NOUN
fuelectenerg-618	410	53	for	for	ADP
fuelectenerg-618	410	54	classes	class	NOUN
fuelectenerg-618	410	55	,	,	PUNCT
fuelectenerg-618	410	56	lattices	lattice	NOUN
fuelectenerg-618	410	57	...	...	PUNCT
fuelectenerg-618	410	58	61	61	NUM
fuelectenerg-618	410	59	112	112	NUM
fuelectenerg-618	410	60	b.	b.	NOUN
fuelectenerg-618	410	61	steinbach	steinbach	PROPN
fuelectenerg-618	410	62	and	and	CCONJ
fuelectenerg-618	410	63	c.	c.	PROPN
fuelectenerg-618	410	64	posthoff	posthoff	PROPN
fuelectenerg-618	410	65	algorithm	algorithm	PROPN
fuelectenerg-618	410	66	2	2	NUM
fuelectenerg-618	410	67	separation	separation	NOUN
fuelectenerg-618	410	68	of	of	ADP
fuelectenerg-618	410	69	functions	function	NOUN
fuelectenerg-618	410	70	require	require	VERB
fuelectenerg-618	410	71	:	:	PUNCT
fuelectenerg-618	410	72	bde	bde	X
fuelectenerg-618	410	73	(	(	PUNCT
fuelectenerg-618	410	74	29	29	NUM
fuelectenerg-618	410	75	)	)	PUNCT
fuelectenerg-618	410	76	in	in	ADP
fuelectenerg-618	410	77	which	which	PRON
fuelectenerg-618	410	78	the	the	DET
fuelectenerg-618	410	79	function	function	NOUN
fuelectenerg-618	410	80	f	f	X
fuelectenerg-618	410	81	(	(	PUNCT
fuelectenerg-618	410	82	x	x	X
fuelectenerg-618	410	83	)	)	PUNCT
fuelectenerg-618	410	84	depends	depend	VERB
fuelectenerg-618	410	85	on	on	ADP
fuelectenerg-618	410	86	n	n	DET
fuelectenerg-618	410	87	variables	variable	NOUN
fuelectenerg-618	410	88	ensure	ensure	VERB
fuelectenerg-618	410	89	:	:	PUNCT
fuelectenerg-618	410	90	set	set	NOUN
fuelectenerg-618	410	91	s	s	PRON
fuelectenerg-618	410	92	of	of	ADP
fuelectenerg-618	410	93	boolean	boolean	ADJ
fuelectenerg-618	410	94	vectors	vector	NOUN
fuelectenerg-618	410	95	v	v	NOUN
fuelectenerg-618	410	96	=	=	SYM
fuelectenerg-618	410	97	(	(	PUNCT
fuelectenerg-618	410	98	v0,v1	v0,v1	PROPN
fuelectenerg-618	410	99	,	,	PUNCT
fuelectenerg-618	410	100	.	.	PUNCT
fuelectenerg-618	410	101	.	.	PUNCT
fuelectenerg-618	410	102	.	.	PUNCT
fuelectenerg-618	411	1	,	,	PUNCT
fuelectenerg-618	411	2	v2n−1	v2n−1	PROPN
fuelectenerg-618	411	3	)	)	PUNCT
fuelectenerg-618	411	4	that	that	PRON
fuelectenerg-618	411	5	describe	describe	VERB
fuelectenerg-618	411	6	,	,	PUNCT
fuelectenerg-618	411	7	substituted	substitute	VERB
fuelectenerg-618	411	8	in	in	ADP
fuelectenerg-618	411	9	(	(	PUNCT
fuelectenerg-618	411	10	28	28	NUM
fuelectenerg-618	411	11	)	)	PUNCT
fuelectenerg-618	411	12	,	,	PUNCT
fuelectenerg-618	411	13	the	the	DET
fuelectenerg-618	411	14	set	set	NOUN
fuelectenerg-618	411	15	of	of	ADP
fuelectenerg-618	411	16	all	all	DET
fuelectenerg-618	411	17	solution	solution	NOUN
fuelectenerg-618	411	18	functions	function	NOUN
fuelectenerg-618	411	19	of	of	ADP
fuelectenerg-618	411	20	the	the	DET
fuelectenerg-618	411	21	bde	bde	PROPN
fuelectenerg-618	411	22	(	(	PUNCT
fuelectenerg-618	411	23	29	29	NUM
fuelectenerg-618	411	24	)	)	PUNCT
fuelectenerg-618	411	25	1	1	NUM
fuelectenerg-618	411	26	:	:	PUNCT
fuelectenerg-618	411	27	sls(u	sls(u	PROPN
fuelectenerg-618	411	28	,	,	PUNCT
fuelectenerg-618	411	29	x	x	NOUN
fuelectenerg-618	411	30	)	)	PUNCT
fuelectenerg-618	411	31	←	←	PROPN
fuelectenerg-618	411	32	solution	solution	NOUN
fuelectenerg-618	411	33	of	of	ADP
fuelectenerg-618	411	34	the	the	DET
fuelectenerg-618	411	35	be	be	NOUN
fuelectenerg-618	411	36	(	(	PUNCT
fuelectenerg-618	411	37	30	30	NUM
fuelectenerg-618	411	38	)	)	PUNCT
fuelectenerg-618	411	39	associated	associate	VERB
fuelectenerg-618	411	40	with	with	ADP
fuelectenerg-618	411	41	bde	bde	PROPN
fuelectenerg-618	411	42	(	(	PUNCT
fuelectenerg-618	411	43	29	29	NUM
fuelectenerg-618	411	44	)	)	PUNCT
fuelectenerg-618	411	45	2	2	NUM
fuelectenerg-618	411	46	:	:	PUNCT
fuelectenerg-618	411	47	s(v	s(v	PROPN
fuelectenerg-618	411	48	,	,	PUNCT
fuelectenerg-618	411	49	x	x	X
fuelectenerg-618	411	50	)	)	PUNCT
fuelectenerg-618	411	51	←	←	PROPN
fuelectenerg-618	411	52	d2v(sls(u	d2v(sls(u	PROPN
fuelectenerg-618	411	53	,	,	PUNCT
fuelectenerg-618	411	54	x	x	NOUN
fuelectenerg-618	411	55	)	)	PUNCT
fuelectenerg-618	411	56	)	)	PUNCT
fuelectenerg-618	412	1	3	3	NUM
fuelectenerg-618	412	2	:	:	PUNCT
fuelectenerg-618	412	3	for	for	ADP
fuelectenerg-618	412	4	i	i	PRON
fuelectenerg-618	412	5	←	←	PROPN
fuelectenerg-618	412	6	1	1	NUM
fuelectenerg-618	412	7	to	to	PART
fuelectenerg-618	412	8	n	n	PRON
fuelectenerg-618	412	9	do	do	VERB
fuelectenerg-618	412	10	4	4	NUM
fuelectenerg-618	412	11	:	:	PUNCT
fuelectenerg-618	412	12	s0(v	s0(v	NUM
fuelectenerg-618	412	13	,	,	PUNCT
fuelectenerg-618	412	14	x\	x\	PROPN
fuelectenerg-618	412	15	(	(	PUNCT
fuelectenerg-618	412	16	x1	x1	PROPN
fuelectenerg-618	412	17	,	,	PUNCT
fuelectenerg-618	412	18	.	.	PUNCT
fuelectenerg-618	412	19	.	.	PUNCT
fuelectenerg-618	413	1	.	.	PUNCT
fuelectenerg-618	414	1	,	,	PUNCT
fuelectenerg-618	414	2	xi	xi	PROPN
fuelectenerg-618	414	3	)	)	PUNCT
fuelectenerg-618	414	4	)	)	PUNCT
fuelectenerg-618	415	1	←	←	PROPN
fuelectenerg-618	415	2	maxxi	maxxi	NOUN
fuelectenerg-618	416	1	[	[	X
fuelectenerg-618	416	2	xi	xi	X
fuelectenerg-618	416	3	∧s(v	∧s(v	PROPN
fuelectenerg-618	416	4	,	,	PUNCT
fuelectenerg-618	416	5	xi	xi	PROPN
fuelectenerg-618	416	6	,	,	PUNCT
fuelectenerg-618	416	7	.	.	PUNCT
fuelectenerg-618	416	8	.	.	PUNCT
fuelectenerg-618	417	1	.	.	PUNCT
fuelectenerg-618	418	1	,	,	PUNCT
fuelectenerg-618	418	2	xn	xn	PROPN
fuelectenerg-618	418	3	)	)	PUNCT
fuelectenerg-618	418	4	]	]	PUNCT
fuelectenerg-618	418	5	5	5	NUM
fuelectenerg-618	418	6	:	:	SYM
fuelectenerg-618	418	7	s1(v	s1(v	PROPN
fuelectenerg-618	418	8	,	,	PUNCT
fuelectenerg-618	418	9	x\	x\	PROPN
fuelectenerg-618	418	10	(	(	PUNCT
fuelectenerg-618	418	11	x1	x1	PROPN
fuelectenerg-618	418	12	,	,	PUNCT
fuelectenerg-618	418	13	.	.	PUNCT
fuelectenerg-618	418	14	.	.	PUNCT
fuelectenerg-618	418	15	.	.	PUNCT
fuelectenerg-618	419	1	,	,	PUNCT
fuelectenerg-618	419	2	xi	xi	PROPN
fuelectenerg-618	419	3	)	)	PUNCT
fuelectenerg-618	419	4	)	)	PUNCT
fuelectenerg-618	420	1	←	←	PROPN
fuelectenerg-618	420	2	maxxi	maxxi	NOUN
fuelectenerg-618	421	1	[	[	X
fuelectenerg-618	421	2	xi	xi	X
fuelectenerg-618	421	3	∧s(v	∧s(v	PROPN
fuelectenerg-618	421	4	,	,	PUNCT
fuelectenerg-618	421	5	xi	xi	PROPN
fuelectenerg-618	421	6	,	,	PUNCT
fuelectenerg-618	421	7	.	.	PUNCT
fuelectenerg-618	421	8	.	.	PUNCT
fuelectenerg-618	422	1	.	.	PUNCT
fuelectenerg-618	423	1	,	,	PUNCT
fuelectenerg-618	423	2	xn	xn	PROPN
fuelectenerg-618	423	3	)	)	PUNCT
fuelectenerg-618	423	4	]	]	PUNCT
fuelectenerg-618	424	1	6	6	NUM
fuelectenerg-618	424	2	:	:	PUNCT
fuelectenerg-618	424	3	st1(v	st1(v	NOUN
fuelectenerg-618	424	4	,	,	PUNCT
fuelectenerg-618	424	5	x\	x\	PROPN
fuelectenerg-618	424	6	(	(	PUNCT
fuelectenerg-618	424	7	x1	x1	PROPN
fuelectenerg-618	424	8	,	,	PUNCT
fuelectenerg-618	424	9	.	.	PUNCT
fuelectenerg-618	424	10	.	.	PUNCT
fuelectenerg-618	424	11	.	.	PUNCT
fuelectenerg-618	424	12	,	,	PUNCT
fuelectenerg-618	424	13	xi	xi	PROPN
fuelectenerg-618	424	14	)	)	PUNCT
fuelectenerg-618	424	15	)	)	PUNCT
fuelectenerg-618	424	16	←	←	PROPN
fuelectenerg-618	424	17	epv(s1(v	epv(s1(v	PROPN
fuelectenerg-618	424	18	,	,	PUNCT
fuelectenerg-618	424	19	x\	x\	PROPN
fuelectenerg-618	424	20	(	(	PUNCT
fuelectenerg-618	424	21	x1	x1	PROPN
fuelectenerg-618	424	22	,	,	PUNCT
fuelectenerg-618	424	23	.	.	PUNCT
fuelectenerg-618	424	24	.	.	PUNCT
fuelectenerg-618	424	25	.	.	PUNCT
fuelectenerg-618	424	26	,	,	PUNCT
fuelectenerg-618	424	27	xi	xi	PROPN
fuelectenerg-618	424	28	)	)	PUNCT
fuelectenerg-618	424	29	)	)	PUNCT
fuelectenerg-618	424	30	,	,	PUNCT
fuelectenerg-618	424	31	i	i	NOUN
fuelectenerg-618	424	32	)	)	PUNCT
fuelectenerg-618	424	33	7	7	NUM
fuelectenerg-618	424	34	:	:	PUNCT
fuelectenerg-618	424	35	s(v	s(v	PROPN
fuelectenerg-618	424	36	,	,	PUNCT
fuelectenerg-618	424	37	x\	x\	PROPN
fuelectenerg-618	424	38	(	(	PUNCT
fuelectenerg-618	424	39	x1	x1	PROPN
fuelectenerg-618	424	40	,	,	PUNCT
fuelectenerg-618	424	41	.	.	PUNCT
fuelectenerg-618	424	42	.	.	PUNCT
fuelectenerg-618	424	43	.	.	PUNCT
fuelectenerg-618	424	44	,	,	PUNCT
fuelectenerg-618	424	45	xi	xi	PROPN
fuelectenerg-618	424	46	)	)	PUNCT
fuelectenerg-618	424	47	)	)	PUNCT
fuelectenerg-618	425	1	←	←	PROPN
fuelectenerg-618	425	2	s0(v	s0(v	PROPN
fuelectenerg-618	425	3	,	,	PUNCT
fuelectenerg-618	425	4	x\	x\	PROPN
fuelectenerg-618	425	5	(	(	PUNCT
fuelectenerg-618	425	6	x1	x1	PROPN
fuelectenerg-618	425	7	,	,	PUNCT
fuelectenerg-618	425	8	.	.	PUNCT
fuelectenerg-618	425	9	.	.	PUNCT
fuelectenerg-618	425	10	.	.	PUNCT
fuelectenerg-618	426	1	,	,	PUNCT
fuelectenerg-618	426	2	xi))∩st1(v	xi))∩st1(v	PROPN
fuelectenerg-618	426	3	,	,	PUNCT
fuelectenerg-618	426	4	x\	x\	PROPN
fuelectenerg-618	426	5	(	(	PUNCT
fuelectenerg-618	426	6	x1	x1	PROPN
fuelectenerg-618	426	7	,	,	PUNCT
fuelectenerg-618	426	8	.	.	PUNCT
fuelectenerg-618	426	9	.	.	PUNCT
fuelectenerg-618	426	10	.	.	PUNCT
fuelectenerg-618	427	1	,	,	PUNCT
fuelectenerg-618	427	2	xi	xi	PROPN
fuelectenerg-618	427	3	)	)	PUNCT
fuelectenerg-618	427	4	)	)	PUNCT
fuelectenerg-618	428	1	8	8	NUM
fuelectenerg-618	428	2	:	:	PUNCT
fuelectenerg-618	428	3	end	end	VERB
fuelectenerg-618	428	4	for	for	ADP
fuelectenerg-618	428	5	(	(	PUNCT
fuelectenerg-618	428	6	22	22	NUM
fuelectenerg-618	428	7	)	)	PUNCT
fuelectenerg-618	428	8	.	.	PUNCT
fuelectenerg-618	429	1	min	min	PROPN
fuelectenerg-618	429	2	xi	xi	X
fuelectenerg-618	429	3	f	f	PROPN
fuelectenerg-618	429	4	(	(	PUNCT
fuelectenerg-618	429	5	x	x	X
fuelectenerg-618	429	6	)	)	PUNCT
fuelectenerg-618	429	7	=	=	SYM
fuelectenerg-618	429	8	f	f	PROPN
fuelectenerg-618	429	9	(	(	PUNCT
fuelectenerg-618	429	10	x)∧	x)∧	PROPN
fuelectenerg-618	429	11	∂	∂	X
fuelectenerg-618	429	12	f	f	X
fuelectenerg-618	429	13	(	(	PUNCT
fuelectenerg-618	429	14	x	x	X
fuelectenerg-618	429	15	)	)	PUNCT
fuelectenerg-618	429	16	∂xi	∂xi	NOUN
fuelectenerg-618	429	17	(	(	PUNCT
fuelectenerg-618	429	18	31	31	NUM
fuelectenerg-618	429	19	)	)	PUNCT
fuelectenerg-618	429	20	max	max	PROPN
fuelectenerg-618	429	21	xi	xi	X
fuelectenerg-618	429	22	f	f	PROPN
fuelectenerg-618	429	23	(	(	PUNCT
fuelectenerg-618	429	24	x	x	X
fuelectenerg-618	429	25	)	)	PUNCT
fuelectenerg-618	429	26	=	=	SYM
fuelectenerg-618	429	27	f	f	PROPN
fuelectenerg-618	429	28	(	(	PUNCT
fuelectenerg-618	429	29	x)∨	x)∨	PROPN
fuelectenerg-618	429	30	∂	∂	X
fuelectenerg-618	429	31	f	f	PROPN
fuelectenerg-618	429	32	(	(	PUNCT
fuelectenerg-618	429	33	x	x	X
fuelectenerg-618	429	34	)	)	PUNCT
fuelectenerg-618	429	35	∂xi	∂xi	NOUN
fuelectenerg-618	429	36	(	(	PUNCT
fuelectenerg-618	429	37	32	32	NUM
fuelectenerg-618	429	38	)	)	PUNCT
fuelectenerg-618	429	39	min	min	NOUN
fuelectenerg-618	430	1	x0	x0	PROPN
fuelectenerg-618	430	2	f	f	PROPN
fuelectenerg-618	430	3	(	(	PUNCT
fuelectenerg-618	430	4	x0,x1	x0,x1	PROPN
fuelectenerg-618	430	5	)	)	PUNCT
fuelectenerg-618	431	1	=	=	SYM
fuelectenerg-618	431	2	f	f	X
fuelectenerg-618	431	3	(	(	PUNCT
fuelectenerg-618	431	4	x0,x1)∧	x0,x1)∧	PROPN
fuelectenerg-618	431	5	∂	∂	NOUN
fuelectenerg-618	431	6	f	f	PROPN
fuelectenerg-618	431	7	(	(	PUNCT
fuelectenerg-618	431	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	431	9	)	)	PUNCT
fuelectenerg-618	431	10	∂x0	∂x0	PROPN
fuelectenerg-618	431	11	(	(	PUNCT
fuelectenerg-618	431	12	33	33	NUM
fuelectenerg-618	431	13	)	)	PUNCT
fuelectenerg-618	431	14	max	max	NOUN
fuelectenerg-618	431	15	x0	x0	PROPN
fuelectenerg-618	431	16	f	f	PROPN
fuelectenerg-618	431	17	(	(	PUNCT
fuelectenerg-618	431	18	x0,x1	x0,x1	PROPN
fuelectenerg-618	431	19	)	)	PUNCT
fuelectenerg-618	432	1	=	=	SYM
fuelectenerg-618	432	2	f	f	PROPN
fuelectenerg-618	432	3	(	(	PUNCT
fuelectenerg-618	432	4	x0,x1)∨	x0,x1)∨	PROPN
fuelectenerg-618	432	5	∂	∂	PROPN
fuelectenerg-618	432	6	f	f	PROPN
fuelectenerg-618	432	7	(	(	PUNCT
fuelectenerg-618	432	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	432	9	)	)	PUNCT
fuelectenerg-618	432	10	∂x0	∂x0	PROPN
fuelectenerg-618	432	11	(	(	PUNCT
fuelectenerg-618	432	12	34	34	NUM
fuelectenerg-618	432	13	)	)	PUNCT
fuelectenerg-618	432	14	min	min	NOUN
fuelectenerg-618	432	15	(	(	PUNCT
fuelectenerg-618	432	16	x1,x2	x1,x2	PROPN
fuelectenerg-618	432	17	)	)	PUNCT
fuelectenerg-618	432	18	2	2	NUM
fuelectenerg-618	432	19	f	f	NOUN
fuelectenerg-618	432	20	(	(	PUNCT
fuelectenerg-618	432	21	x	x	NOUN
fuelectenerg-618	432	22	)	)	PUNCT
fuelectenerg-618	432	23	=	=	SYM
fuelectenerg-618	432	24	f	f	PROPN
fuelectenerg-618	432	25	(	(	PUNCT
fuelectenerg-618	432	26	x)∧	x)∧	PROPN
fuelectenerg-618	432	27	∂	∂	X
fuelectenerg-618	432	28	f	f	X
fuelectenerg-618	432	29	(	(	PUNCT
fuelectenerg-618	432	30	x	x	X
fuelectenerg-618	432	31	)	)	PUNCT
fuelectenerg-618	432	32	∂x1	∂x1	VERB
fuelectenerg-618	433	1	∧	∧	PROPN
fuelectenerg-618	433	2	∂	∂	NUM
fuelectenerg-618	433	3	f	f	NOUN
fuelectenerg-618	433	4	(	(	PUNCT
fuelectenerg-618	433	5	x	x	X
fuelectenerg-618	433	6	)	)	PUNCT
fuelectenerg-618	433	7	∂x2	∂x2	NOUN
fuelectenerg-618	433	8	∧	∧	NOUN
fuelectenerg-618	433	9	∂	∂	NUM
fuelectenerg-618	433	10	f	f	NOUN
fuelectenerg-618	433	11	(	(	PUNCT
fuelectenerg-618	433	12	x	x	NOUN
fuelectenerg-618	433	13	)	)	PUNCT
fuelectenerg-618	433	14	∂	∂	NUM
fuelectenerg-618	433	15	(	(	PUNCT
fuelectenerg-618	433	16	x1,x2	x1,x2	PROPN
fuelectenerg-618	433	17	)	)	PUNCT
fuelectenerg-618	433	18	(	(	PUNCT
fuelectenerg-618	433	19	35	35	NUM
fuelectenerg-618	433	20	)	)	PUNCT
fuelectenerg-618	433	21	max	max	NOUN
fuelectenerg-618	433	22	(	(	PUNCT
fuelectenerg-618	433	23	x1,x2	x1,x2	PROPN
fuelectenerg-618	433	24	)	)	PUNCT
fuelectenerg-618	433	25	2	2	NUM
fuelectenerg-618	433	26	f	f	NOUN
fuelectenerg-618	433	27	(	(	PUNCT
fuelectenerg-618	433	28	x	x	NOUN
fuelectenerg-618	433	29	)	)	PUNCT
fuelectenerg-618	433	30	=	=	SYM
fuelectenerg-618	433	31	f	f	PROPN
fuelectenerg-618	433	32	(	(	PUNCT
fuelectenerg-618	433	33	x)∨	x)∨	PROPN
fuelectenerg-618	433	34	∂	∂	X
fuelectenerg-618	433	35	f	f	PROPN
fuelectenerg-618	433	36	(	(	PUNCT
fuelectenerg-618	433	37	x	x	X
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fuelectenerg-618	433	39	∂x1	∂x1	NOUN
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fuelectenerg-618	433	41	∂	∂	NUM
fuelectenerg-618	433	42	f	f	PROPN
fuelectenerg-618	433	43	(	(	PUNCT
fuelectenerg-618	433	44	x	x	X
fuelectenerg-618	433	45	)	)	PUNCT
fuelectenerg-618	433	46	∂x2	∂x2	NOUN
fuelectenerg-618	433	47	∨	∨	NOUN
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fuelectenerg-618	433	50	(	(	PUNCT
fuelectenerg-618	433	51	x	x	NOUN
fuelectenerg-618	433	52	)	)	PUNCT
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fuelectenerg-618	433	54	(	(	PUNCT
fuelectenerg-618	433	55	x1,x2	x1,x2	PROPN
fuelectenerg-618	433	56	)	)	PUNCT
fuelectenerg-618	433	57	(	(	PUNCT
fuelectenerg-618	433	58	36	36	NUM
fuelectenerg-618	433	59	)	)	PUNCT
fuelectenerg-618	433	60	∂	∂	NUM
fuelectenerg-618	433	61	2	2	NUM
fuelectenerg-618	433	62	f	f	X
fuelectenerg-618	433	63	(	(	PUNCT
fuelectenerg-618	433	64	x	x	NOUN
fuelectenerg-618	433	65	)	)	PUNCT
fuelectenerg-618	433	66	∂x1∂x2	∂x1∂x2	NOUN
fuelectenerg-618	433	67	=	=	SYM
fuelectenerg-618	433	68	∂	∂	NUM
fuelectenerg-618	433	69	f	f	NOUN
fuelectenerg-618	433	70	(	(	PUNCT
fuelectenerg-618	433	71	x	x	X
fuelectenerg-618	433	72	)	)	PUNCT
fuelectenerg-618	433	73	∂x1	∂x1	PROPN
fuelectenerg-618	433	74	⊕	⊕	PROPN
fuelectenerg-618	433	75	∂	∂	NUM
fuelectenerg-618	433	76	f	f	PROPN
fuelectenerg-618	433	77	(	(	PUNCT
fuelectenerg-618	433	78	x	x	X
fuelectenerg-618	433	79	)	)	PUNCT
fuelectenerg-618	433	80	∂x2	∂x2	NOUN
fuelectenerg-618	433	81	⊕	⊕	PROPN
fuelectenerg-618	433	82	∂	∂	NOUN
fuelectenerg-618	434	1	f	f	X
fuelectenerg-618	434	2	(	(	PUNCT
fuelectenerg-618	434	3	x	x	NOUN
fuelectenerg-618	434	4	)	)	PUNCT
fuelectenerg-618	434	5	∂	∂	NUM
fuelectenerg-618	434	6	(	(	PUNCT
fuelectenerg-618	434	7	x1,x2	x1,x2	PROPN
fuelectenerg-618	434	8	)	)	PUNCT
fuelectenerg-618	434	9	(	(	PUNCT
fuelectenerg-618	434	10	37	37	NUM
fuelectenerg-618	434	11	)	)	PUNCT
fuelectenerg-618	434	12	∆(x1,x2	∆(x1,x2	NOUN
fuelectenerg-618	434	13	)	)	PUNCT
fuelectenerg-618	435	1	f	f	NOUN
fuelectenerg-618	435	2	(	(	PUNCT
fuelectenerg-618	435	3	x	x	X
fuelectenerg-618	435	4	)	)	PUNCT
fuelectenerg-618	435	5	=	=	SYM
fuelectenerg-618	436	1	∂	∂	NUM
fuelectenerg-618	436	2	f	f	NOUN
fuelectenerg-618	436	3	(	(	PUNCT
fuelectenerg-618	436	4	x	x	X
fuelectenerg-618	436	5	)	)	PUNCT
fuelectenerg-618	436	6	∂x1	∂x1	NOUN
fuelectenerg-618	436	7	∨	∨	NUM
fuelectenerg-618	436	8	∂	∂	NUM
fuelectenerg-618	436	9	f	f	PROPN
fuelectenerg-618	436	10	(	(	PUNCT
fuelectenerg-618	436	11	x	x	X
fuelectenerg-618	436	12	)	)	PUNCT
fuelectenerg-618	436	13	∂x2	∂x2	NOUN
fuelectenerg-618	436	14	∨	∨	NOUN
fuelectenerg-618	436	15	∂	∂	NOUN
fuelectenerg-618	436	16	f	f	PROPN
fuelectenerg-618	436	17	(	(	PUNCT
fuelectenerg-618	436	18	x	x	NOUN
fuelectenerg-618	436	19	)	)	PUNCT
fuelectenerg-618	436	20	∂	∂	NUM
fuelectenerg-618	436	21	(	(	PUNCT
fuelectenerg-618	436	22	x1,x2	x1,x2	PROPN
fuelectenerg-618	436	23	)	)	PUNCT
fuelectenerg-618	436	24	(	(	PUNCT
fuelectenerg-618	436	25	38	38	NUM
fuelectenerg-618	436	26	)	)	PUNCT
fuelectenerg-618	436	27	general	general	ADJ
fuelectenerg-618	436	28	formulas	formula	NOUN
fuelectenerg-618	436	29	to	to	PART
fuelectenerg-618	436	30	express	express	VERB
fuelectenerg-618	436	31	the	the	DET
fuelectenerg-618	436	32	simple	simple	ADJ
fuelectenerg-618	436	33	or	or	CCONJ
fuelectenerg-618	436	34	vectorial	vectorial	ADJ
fuelectenerg-618	436	35	minimum	minimum	NOUN
fuelectenerg-618	436	36	or	or	CCONJ
fuelectenerg-618	436	37	maximum	maximum	ADJ
fuelectenerg-618	436	38	by	by	ADP
fuelectenerg-618	436	39	the	the	DET
fuelectenerg-618	436	40	function	function	NOUN
fuelectenerg-618	436	41	f	f	PROPN
fuelectenerg-618	436	42	(	(	PUNCT
fuelectenerg-618	436	43	x	x	NOUN
fuelectenerg-618	436	44	)	)	PUNCT
fuelectenerg-618	436	45	and	and	CCONJ
fuelectenerg-618	436	46	simple	simple	ADJ
fuelectenerg-618	436	47	or	or	CCONJ
fuelectenerg-618	436	48	vectorial	vectorial	ADJ
fuelectenerg-618	436	49	derivatives	derivative	NOUN
fuelectenerg-618	436	50	are	be	AUX
fuelectenerg-618	436	51	given	give	VERB
fuelectenerg-618	436	52	in	in	ADP
fuelectenerg-618	436	53	(	(	PUNCT
fuelectenerg-618	436	54	31	31	NUM
fuelectenerg-618	436	55	)	)	PUNCT
fuelectenerg-618	436	56	,	,	PUNCT
fuelectenerg-618	436	57	.	.	PUNCT
fuelectenerg-618	436	58	.	.	PUNCT
fuelectenerg-618	436	59	.	.	PUNCT
fuelectenerg-618	437	1	,	,	PUNCT
fuelectenerg-618	437	2	(	(	PUNCT
fuelectenerg-618	437	3	34	34	NUM
fuelectenerg-618	437	4	)	)	PUNCT
fuelectenerg-618	437	5	.	.	PUNCT
fuelectenerg-618	438	1	the	the	DET
fuelectenerg-618	438	2	equations	equation	NOUN
fuelectenerg-618	438	3	(	(	PUNCT
fuelectenerg-618	438	4	35	35	NUM
fuelectenerg-618	438	5	)	)	PUNCT
fuelectenerg-618	438	6	,	,	PUNCT
fuelectenerg-618	438	7	.	.	PUNCT
fuelectenerg-618	438	8	.	.	PUNCT
fuelectenerg-618	438	9	.	.	PUNCT
fuelectenerg-618	439	1	,	,	PUNCT
fuelectenerg-618	439	2	(	(	PUNCT
fuelectenerg-618	439	3	38	38	NUM
fuelectenerg-618	439	4	)	)	PUNCT
fuelectenerg-618	439	5	describe	describe	VERB
fuelectenerg-618	439	6	how	how	SCONJ
fuelectenerg-618	439	7	all	all	DET
fuelectenerg-618	439	8	2	2	NUM
fuelectenerg-618	439	9	-	-	ADJ
fuelectenerg-618	439	10	fold	fold	ADJ
fuelectenerg-618	439	11	derivative	derivative	ADJ
fuelectenerg-618	439	12	operations	operation	NOUN
fuelectenerg-618	439	13	can	can	AUX
fuelectenerg-618	439	14	be	be	AUX
fuelectenerg-618	439	15	transformed	transform	VERB
fuelectenerg-618	439	16	into	into	ADP
fuelectenerg-618	439	17	expressions	expression	NOUN
fuelectenerg-618	439	18	that	that	PRON
fuelectenerg-618	439	19	contain	contain	VERB
fuelectenerg-618	439	20	only	only	ADV
fuelectenerg-618	439	21	the	the	DET
fuelectenerg-618	439	22	function	function	NOUN
fuelectenerg-618	439	23	f	f	X
fuelectenerg-618	439	24	(	(	PUNCT
fuelectenerg-618	439	25	x	x	NOUN
fuelectenerg-618	439	26	)	)	PUNCT
fuelectenerg-618	439	27	and	and	CCONJ
fuelectenerg-618	439	28	simple	simple	ADJ
fuelectenerg-618	439	29	or	or	CCONJ
fuelectenerg-618	439	30	vectorial	vectorial	ADJ
fuelectenerg-618	439	31	derivatives	derivative	NOUN
fuelectenerg-618	439	32	.	.	PUNCT
fuelectenerg-618	440	1	these	these	DET
fuelectenerg-618	440	2	formulas	formula	NOUN
fuelectenerg-618	440	3	can	can	AUX
fuelectenerg-618	440	4	be	be	AUX
fuelectenerg-618	440	5	generalized	generalize	VERB
fuelectenerg-618	440	6	for	for	ADP
fuelectenerg-618	440	7	any	any	DET
fuelectenerg-618	440	8	m≤	m≤	NOUN
fuelectenerg-618	440	9	n	n	PROPN
fuelectenerg-618	440	10	of	of	ADP
fuelectenerg-618	440	11	functions	function	NOUN
fuelectenerg-618	440	12	in	in	ADP
fuelectenerg-618	440	13	b	b	PROPN
fuelectenerg-618	440	14	n	n	CCONJ
fuelectenerg-618	440	15	[	[	X
fuelectenerg-618	440	16	6	6	NUM
fuelectenerg-618	440	17	]	]	PUNCT
fuelectenerg-618	440	18	.	.	PUNCT
fuelectenerg-618	441	1	using	use	VERB
fuelectenerg-618	441	2	these	these	DET
fuelectenerg-618	441	3	transformations	transformation	NOUN
fuelectenerg-618	441	4	each	each	DET
fuelectenerg-618	441	5	more	more	ADV
fuelectenerg-618	441	6	general	general	ADJ
fuelectenerg-618	441	7	bde	bde	PROPN
fuelectenerg-618	441	8	results	result	NOUN
fuelectenerg-618	441	9	either	either	CCONJ
fuelectenerg-618	441	10	in	in	ADP
fuelectenerg-618	441	11	the	the	DET
fuelectenerg-618	441	12	bde	bde	PROPN
fuelectenerg-618	441	13	62	62	NUM
fuelectenerg-618	441	14	b.	b.	PROPN
fuelectenerg-618	441	15	steinbach	steinbach	PROPN
fuelectenerg-618	441	16	,	,	PUNCT
fuelectenerg-618	441	17	c.	c.	PROPN
fuelectenerg-618	441	18	posthoff	posthoff	PROPN
fuelectenerg-618	441	19	boolean	boolean	ADJ
fuelectenerg-618	441	20	differential	differential	ADJ
fuelectenerg-618	441	21	equations	equation	NOUN
fuelectenerg-618	441	22	–	–	PUNCT
fuelectenerg-618	441	23	a	a	DET
fuelectenerg-618	441	24	common	common	ADJ
fuelectenerg-618	441	25	model	model	NOUN
fuelectenerg-618	441	26	for	for	ADP
fuelectenerg-618	441	27	classes	class	NOUN
fuelectenerg-618	441	28	,	,	PUNCT
fuelectenerg-618	441	29	lattices	lattice	NOUN
fuelectenerg-618	441	30	...	...	PUNCT
fuelectenerg-618	441	31	63	63	NUM
fuelectenerg-618	441	32	112	112	NUM
fuelectenerg-618	441	33	b.	b.	NOUN
fuelectenerg-618	441	34	steinbach	steinbach	PROPN
fuelectenerg-618	441	35	and	and	CCONJ
fuelectenerg-618	441	36	c.	c.	PROPN
fuelectenerg-618	441	37	posthoff	posthoff	PROPN
fuelectenerg-618	441	38	algorithm	algorithm	PROPN
fuelectenerg-618	441	39	2	2	NUM
fuelectenerg-618	441	40	separation	separation	NOUN
fuelectenerg-618	441	41	of	of	ADP
fuelectenerg-618	441	42	functions	function	NOUN
fuelectenerg-618	441	43	require	require	VERB
fuelectenerg-618	441	44	:	:	PUNCT
fuelectenerg-618	441	45	bde	bde	X
fuelectenerg-618	441	46	(	(	PUNCT
fuelectenerg-618	441	47	29	29	NUM
fuelectenerg-618	441	48	)	)	PUNCT
fuelectenerg-618	441	49	in	in	ADP
fuelectenerg-618	441	50	which	which	PRON
fuelectenerg-618	441	51	the	the	DET
fuelectenerg-618	441	52	function	function	NOUN
fuelectenerg-618	441	53	f	f	X
fuelectenerg-618	441	54	(	(	PUNCT
fuelectenerg-618	441	55	x	x	X
fuelectenerg-618	441	56	)	)	PUNCT
fuelectenerg-618	441	57	depends	depend	VERB
fuelectenerg-618	441	58	on	on	ADP
fuelectenerg-618	441	59	n	n	DET
fuelectenerg-618	441	60	variables	variable	NOUN
fuelectenerg-618	441	61	ensure	ensure	VERB
fuelectenerg-618	441	62	:	:	PUNCT
fuelectenerg-618	441	63	set	set	NOUN
fuelectenerg-618	441	64	s	s	PRON
fuelectenerg-618	441	65	of	of	ADP
fuelectenerg-618	441	66	boolean	boolean	ADJ
fuelectenerg-618	441	67	vectors	vector	NOUN
fuelectenerg-618	441	68	v	v	NOUN
fuelectenerg-618	441	69	=	=	SYM
fuelectenerg-618	441	70	(	(	PUNCT
fuelectenerg-618	441	71	v0,v1	v0,v1	PROPN
fuelectenerg-618	441	72	,	,	PUNCT
fuelectenerg-618	441	73	.	.	PUNCT
fuelectenerg-618	441	74	.	.	PUNCT
fuelectenerg-618	441	75	.	.	PUNCT
fuelectenerg-618	442	1	,	,	PUNCT
fuelectenerg-618	442	2	v2n−1	v2n−1	PROPN
fuelectenerg-618	442	3	)	)	PUNCT
fuelectenerg-618	442	4	that	that	PRON
fuelectenerg-618	442	5	describe	describe	VERB
fuelectenerg-618	442	6	,	,	PUNCT
fuelectenerg-618	442	7	substituted	substitute	VERB
fuelectenerg-618	442	8	in	in	ADP
fuelectenerg-618	442	9	(	(	PUNCT
fuelectenerg-618	442	10	28	28	NUM
fuelectenerg-618	442	11	)	)	PUNCT
fuelectenerg-618	442	12	,	,	PUNCT
fuelectenerg-618	442	13	the	the	DET
fuelectenerg-618	442	14	set	set	NOUN
fuelectenerg-618	442	15	of	of	ADP
fuelectenerg-618	442	16	all	all	DET
fuelectenerg-618	442	17	solution	solution	NOUN
fuelectenerg-618	442	18	functions	function	NOUN
fuelectenerg-618	442	19	of	of	ADP
fuelectenerg-618	442	20	the	the	DET
fuelectenerg-618	442	21	bde	bde	PROPN
fuelectenerg-618	442	22	(	(	PUNCT
fuelectenerg-618	442	23	29	29	NUM
fuelectenerg-618	442	24	)	)	PUNCT
fuelectenerg-618	442	25	1	1	NUM
fuelectenerg-618	442	26	:	:	PUNCT
fuelectenerg-618	442	27	sls(u	sls(u	PROPN
fuelectenerg-618	442	28	,	,	PUNCT
fuelectenerg-618	442	29	x	x	NOUN
fuelectenerg-618	442	30	)	)	PUNCT
fuelectenerg-618	442	31	←	←	PROPN
fuelectenerg-618	442	32	solution	solution	NOUN
fuelectenerg-618	442	33	of	of	ADP
fuelectenerg-618	442	34	the	the	DET
fuelectenerg-618	442	35	be	be	NOUN
fuelectenerg-618	442	36	(	(	PUNCT
fuelectenerg-618	442	37	30	30	NUM
fuelectenerg-618	442	38	)	)	PUNCT
fuelectenerg-618	442	39	associated	associate	VERB
fuelectenerg-618	442	40	with	with	ADP
fuelectenerg-618	442	41	bde	bde	PROPN
fuelectenerg-618	442	42	(	(	PUNCT
fuelectenerg-618	442	43	29	29	NUM
fuelectenerg-618	442	44	)	)	PUNCT
fuelectenerg-618	442	45	2	2	NUM
fuelectenerg-618	442	46	:	:	PUNCT
fuelectenerg-618	442	47	s(v	s(v	PROPN
fuelectenerg-618	442	48	,	,	PUNCT
fuelectenerg-618	442	49	x	x	X
fuelectenerg-618	442	50	)	)	PUNCT
fuelectenerg-618	442	51	←	←	PROPN
fuelectenerg-618	442	52	d2v(sls(u	d2v(sls(u	PROPN
fuelectenerg-618	442	53	,	,	PUNCT
fuelectenerg-618	442	54	x	x	NOUN
fuelectenerg-618	442	55	)	)	PUNCT
fuelectenerg-618	442	56	)	)	PUNCT
fuelectenerg-618	443	1	3	3	NUM
fuelectenerg-618	443	2	:	:	PUNCT
fuelectenerg-618	443	3	for	for	ADP
fuelectenerg-618	443	4	i	i	PRON
fuelectenerg-618	443	5	←	←	PROPN
fuelectenerg-618	443	6	1	1	NUM
fuelectenerg-618	443	7	to	to	PART
fuelectenerg-618	443	8	n	n	PRON
fuelectenerg-618	443	9	do	do	VERB
fuelectenerg-618	443	10	4	4	NUM
fuelectenerg-618	443	11	:	:	PUNCT
fuelectenerg-618	443	12	s0(v	s0(v	NUM
fuelectenerg-618	443	13	,	,	PUNCT
fuelectenerg-618	443	14	x\	x\	PROPN
fuelectenerg-618	443	15	(	(	PUNCT
fuelectenerg-618	443	16	x1	x1	PROPN
fuelectenerg-618	443	17	,	,	PUNCT
fuelectenerg-618	443	18	.	.	PUNCT
fuelectenerg-618	443	19	.	.	PUNCT
fuelectenerg-618	444	1	.	.	PUNCT
fuelectenerg-618	445	1	,	,	PUNCT
fuelectenerg-618	445	2	xi	xi	PROPN
fuelectenerg-618	445	3	)	)	PUNCT
fuelectenerg-618	445	4	)	)	PUNCT
fuelectenerg-618	446	1	←	←	PROPN
fuelectenerg-618	446	2	maxxi	maxxi	NOUN
fuelectenerg-618	447	1	[	[	X
fuelectenerg-618	447	2	xi	xi	X
fuelectenerg-618	447	3	∧s(v	∧s(v	PROPN
fuelectenerg-618	447	4	,	,	PUNCT
fuelectenerg-618	447	5	xi	xi	PROPN
fuelectenerg-618	447	6	,	,	PUNCT
fuelectenerg-618	447	7	.	.	PUNCT
fuelectenerg-618	447	8	.	.	PUNCT
fuelectenerg-618	448	1	.	.	PUNCT
fuelectenerg-618	449	1	,	,	PUNCT
fuelectenerg-618	449	2	xn	xn	PROPN
fuelectenerg-618	449	3	)	)	PUNCT
fuelectenerg-618	449	4	]	]	PUNCT
fuelectenerg-618	449	5	5	5	NUM
fuelectenerg-618	449	6	:	:	SYM
fuelectenerg-618	449	7	s1(v	s1(v	PROPN
fuelectenerg-618	449	8	,	,	PUNCT
fuelectenerg-618	449	9	x\	x\	PROPN
fuelectenerg-618	449	10	(	(	PUNCT
fuelectenerg-618	449	11	x1	x1	PROPN
fuelectenerg-618	449	12	,	,	PUNCT
fuelectenerg-618	449	13	.	.	PUNCT
fuelectenerg-618	449	14	.	.	PUNCT
fuelectenerg-618	449	15	.	.	PUNCT
fuelectenerg-618	450	1	,	,	PUNCT
fuelectenerg-618	450	2	xi	xi	PROPN
fuelectenerg-618	450	3	)	)	PUNCT
fuelectenerg-618	450	4	)	)	PUNCT
fuelectenerg-618	451	1	←	←	PROPN
fuelectenerg-618	451	2	maxxi	maxxi	NOUN
fuelectenerg-618	452	1	[	[	X
fuelectenerg-618	452	2	xi	xi	X
fuelectenerg-618	452	3	∧s(v	∧s(v	PROPN
fuelectenerg-618	452	4	,	,	PUNCT
fuelectenerg-618	452	5	xi	xi	PROPN
fuelectenerg-618	452	6	,	,	PUNCT
fuelectenerg-618	452	7	.	.	PUNCT
fuelectenerg-618	452	8	.	.	PUNCT
fuelectenerg-618	453	1	.	.	PUNCT
fuelectenerg-618	454	1	,	,	PUNCT
fuelectenerg-618	454	2	xn	xn	PROPN
fuelectenerg-618	454	3	)	)	PUNCT
fuelectenerg-618	454	4	]	]	PUNCT
fuelectenerg-618	455	1	6	6	NUM
fuelectenerg-618	455	2	:	:	PUNCT
fuelectenerg-618	455	3	st1(v	st1(v	NOUN
fuelectenerg-618	455	4	,	,	PUNCT
fuelectenerg-618	455	5	x\	x\	PROPN
fuelectenerg-618	455	6	(	(	PUNCT
fuelectenerg-618	455	7	x1	x1	PROPN
fuelectenerg-618	455	8	,	,	PUNCT
fuelectenerg-618	455	9	.	.	PUNCT
fuelectenerg-618	455	10	.	.	PUNCT
fuelectenerg-618	455	11	.	.	PUNCT
fuelectenerg-618	455	12	,	,	PUNCT
fuelectenerg-618	455	13	xi	xi	PROPN
fuelectenerg-618	455	14	)	)	PUNCT
fuelectenerg-618	455	15	)	)	PUNCT
fuelectenerg-618	455	16	←	←	PROPN
fuelectenerg-618	455	17	epv(s1(v	epv(s1(v	PROPN
fuelectenerg-618	455	18	,	,	PUNCT
fuelectenerg-618	455	19	x\	x\	PROPN
fuelectenerg-618	455	20	(	(	PUNCT
fuelectenerg-618	455	21	x1	x1	PROPN
fuelectenerg-618	455	22	,	,	PUNCT
fuelectenerg-618	455	23	.	.	PUNCT
fuelectenerg-618	455	24	.	.	PUNCT
fuelectenerg-618	455	25	.	.	PUNCT
fuelectenerg-618	455	26	,	,	PUNCT
fuelectenerg-618	455	27	xi	xi	PROPN
fuelectenerg-618	455	28	)	)	PUNCT
fuelectenerg-618	455	29	)	)	PUNCT
fuelectenerg-618	455	30	,	,	PUNCT
fuelectenerg-618	455	31	i	i	NOUN
fuelectenerg-618	455	32	)	)	PUNCT
fuelectenerg-618	455	33	7	7	NUM
fuelectenerg-618	455	34	:	:	PUNCT
fuelectenerg-618	455	35	s(v	s(v	PROPN
fuelectenerg-618	455	36	,	,	PUNCT
fuelectenerg-618	455	37	x\	x\	PROPN
fuelectenerg-618	455	38	(	(	PUNCT
fuelectenerg-618	455	39	x1	x1	PROPN
fuelectenerg-618	455	40	,	,	PUNCT
fuelectenerg-618	455	41	.	.	PUNCT
fuelectenerg-618	455	42	.	.	PUNCT
fuelectenerg-618	455	43	.	.	PUNCT
fuelectenerg-618	455	44	,	,	PUNCT
fuelectenerg-618	455	45	xi	xi	PROPN
fuelectenerg-618	455	46	)	)	PUNCT
fuelectenerg-618	455	47	)	)	PUNCT
fuelectenerg-618	456	1	←	←	PROPN
fuelectenerg-618	456	2	s0(v	s0(v	PROPN
fuelectenerg-618	456	3	,	,	PUNCT
fuelectenerg-618	456	4	x\	x\	PROPN
fuelectenerg-618	456	5	(	(	PUNCT
fuelectenerg-618	456	6	x1	x1	PROPN
fuelectenerg-618	456	7	,	,	PUNCT
fuelectenerg-618	456	8	.	.	PUNCT
fuelectenerg-618	456	9	.	.	PUNCT
fuelectenerg-618	456	10	.	.	PUNCT
fuelectenerg-618	457	1	,	,	PUNCT
fuelectenerg-618	457	2	xi))∩st1(v	xi))∩st1(v	PROPN
fuelectenerg-618	457	3	,	,	PUNCT
fuelectenerg-618	457	4	x\	x\	PROPN
fuelectenerg-618	457	5	(	(	PUNCT
fuelectenerg-618	457	6	x1	x1	PROPN
fuelectenerg-618	457	7	,	,	PUNCT
fuelectenerg-618	457	8	.	.	PUNCT
fuelectenerg-618	457	9	.	.	PUNCT
fuelectenerg-618	457	10	.	.	PUNCT
fuelectenerg-618	458	1	,	,	PUNCT
fuelectenerg-618	458	2	xi	xi	PROPN
fuelectenerg-618	458	3	)	)	PUNCT
fuelectenerg-618	458	4	)	)	PUNCT
fuelectenerg-618	459	1	8	8	NUM
fuelectenerg-618	459	2	:	:	PUNCT
fuelectenerg-618	459	3	end	end	VERB
fuelectenerg-618	459	4	for	for	ADP
fuelectenerg-618	459	5	(	(	PUNCT
fuelectenerg-618	459	6	22	22	NUM
fuelectenerg-618	459	7	)	)	PUNCT
fuelectenerg-618	459	8	.	.	PUNCT
fuelectenerg-618	460	1	min	min	PROPN
fuelectenerg-618	460	2	xi	xi	X
fuelectenerg-618	460	3	f	f	PROPN
fuelectenerg-618	460	4	(	(	PUNCT
fuelectenerg-618	460	5	x	x	X
fuelectenerg-618	460	6	)	)	PUNCT
fuelectenerg-618	460	7	=	=	SYM
fuelectenerg-618	460	8	f	f	PROPN
fuelectenerg-618	460	9	(	(	PUNCT
fuelectenerg-618	460	10	x)∧	x)∧	PROPN
fuelectenerg-618	460	11	∂	∂	X
fuelectenerg-618	460	12	f	f	X
fuelectenerg-618	460	13	(	(	PUNCT
fuelectenerg-618	460	14	x	x	X
fuelectenerg-618	460	15	)	)	PUNCT
fuelectenerg-618	460	16	∂xi	∂xi	NOUN
fuelectenerg-618	460	17	(	(	PUNCT
fuelectenerg-618	460	18	31	31	NUM
fuelectenerg-618	460	19	)	)	PUNCT
fuelectenerg-618	460	20	max	max	PROPN
fuelectenerg-618	460	21	xi	xi	X
fuelectenerg-618	460	22	f	f	PROPN
fuelectenerg-618	460	23	(	(	PUNCT
fuelectenerg-618	460	24	x	x	X
fuelectenerg-618	460	25	)	)	PUNCT
fuelectenerg-618	460	26	=	=	SYM
fuelectenerg-618	460	27	f	f	PROPN
fuelectenerg-618	460	28	(	(	PUNCT
fuelectenerg-618	460	29	x)∨	x)∨	PROPN
fuelectenerg-618	460	30	∂	∂	X
fuelectenerg-618	460	31	f	f	PROPN
fuelectenerg-618	460	32	(	(	PUNCT
fuelectenerg-618	460	33	x	x	X
fuelectenerg-618	460	34	)	)	PUNCT
fuelectenerg-618	460	35	∂xi	∂xi	NOUN
fuelectenerg-618	460	36	(	(	PUNCT
fuelectenerg-618	460	37	32	32	NUM
fuelectenerg-618	460	38	)	)	PUNCT
fuelectenerg-618	460	39	min	min	NOUN
fuelectenerg-618	461	1	x0	x0	PROPN
fuelectenerg-618	461	2	f	f	PROPN
fuelectenerg-618	461	3	(	(	PUNCT
fuelectenerg-618	461	4	x0,x1	x0,x1	PROPN
fuelectenerg-618	461	5	)	)	PUNCT
fuelectenerg-618	462	1	=	=	SYM
fuelectenerg-618	462	2	f	f	X
fuelectenerg-618	462	3	(	(	PUNCT
fuelectenerg-618	462	4	x0,x1)∧	x0,x1)∧	PROPN
fuelectenerg-618	462	5	∂	∂	NOUN
fuelectenerg-618	462	6	f	f	PROPN
fuelectenerg-618	462	7	(	(	PUNCT
fuelectenerg-618	462	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	462	9	)	)	PUNCT
fuelectenerg-618	462	10	∂x0	∂x0	PROPN
fuelectenerg-618	462	11	(	(	PUNCT
fuelectenerg-618	462	12	33	33	NUM
fuelectenerg-618	462	13	)	)	PUNCT
fuelectenerg-618	462	14	max	max	NOUN
fuelectenerg-618	462	15	x0	x0	PROPN
fuelectenerg-618	462	16	f	f	PROPN
fuelectenerg-618	462	17	(	(	PUNCT
fuelectenerg-618	462	18	x0,x1	x0,x1	PROPN
fuelectenerg-618	462	19	)	)	PUNCT
fuelectenerg-618	463	1	=	=	SYM
fuelectenerg-618	463	2	f	f	PROPN
fuelectenerg-618	463	3	(	(	PUNCT
fuelectenerg-618	463	4	x0,x1)∨	x0,x1)∨	PROPN
fuelectenerg-618	463	5	∂	∂	PROPN
fuelectenerg-618	463	6	f	f	PROPN
fuelectenerg-618	463	7	(	(	PUNCT
fuelectenerg-618	463	8	x0,x1	x0,x1	PROPN
fuelectenerg-618	463	9	)	)	PUNCT
fuelectenerg-618	463	10	∂x0	∂x0	PROPN
fuelectenerg-618	463	11	(	(	PUNCT
fuelectenerg-618	463	12	34	34	NUM
fuelectenerg-618	463	13	)	)	PUNCT
fuelectenerg-618	463	14	min	min	NOUN
fuelectenerg-618	463	15	(	(	PUNCT
fuelectenerg-618	463	16	x1,x2	x1,x2	PROPN
fuelectenerg-618	463	17	)	)	PUNCT
fuelectenerg-618	463	18	2	2	NUM
fuelectenerg-618	463	19	f	f	NOUN
fuelectenerg-618	463	20	(	(	PUNCT
fuelectenerg-618	463	21	x	x	NOUN
fuelectenerg-618	463	22	)	)	PUNCT
fuelectenerg-618	463	23	=	=	SYM
fuelectenerg-618	463	24	f	f	PROPN
fuelectenerg-618	463	25	(	(	PUNCT
fuelectenerg-618	463	26	x)∧	x)∧	PROPN
fuelectenerg-618	463	27	∂	∂	X
fuelectenerg-618	463	28	f	f	X
fuelectenerg-618	463	29	(	(	PUNCT
fuelectenerg-618	463	30	x	x	X
fuelectenerg-618	463	31	)	)	PUNCT
fuelectenerg-618	463	32	∂x1	∂x1	VERB
fuelectenerg-618	464	1	∧	∧	PROPN
fuelectenerg-618	464	2	∂	∂	NUM
fuelectenerg-618	464	3	f	f	NOUN
fuelectenerg-618	464	4	(	(	PUNCT
fuelectenerg-618	464	5	x	x	X
fuelectenerg-618	464	6	)	)	PUNCT
fuelectenerg-618	464	7	∂x2	∂x2	NOUN
fuelectenerg-618	464	8	∧	∧	NOUN
fuelectenerg-618	464	9	∂	∂	NUM
fuelectenerg-618	464	10	f	f	NOUN
fuelectenerg-618	464	11	(	(	PUNCT
fuelectenerg-618	464	12	x	x	NOUN
fuelectenerg-618	464	13	)	)	PUNCT
fuelectenerg-618	464	14	∂	∂	NUM
fuelectenerg-618	464	15	(	(	PUNCT
fuelectenerg-618	464	16	x1,x2	x1,x2	PROPN
fuelectenerg-618	464	17	)	)	PUNCT
fuelectenerg-618	464	18	(	(	PUNCT
fuelectenerg-618	464	19	35	35	NUM
fuelectenerg-618	464	20	)	)	PUNCT
fuelectenerg-618	464	21	max	max	NOUN
fuelectenerg-618	464	22	(	(	PUNCT
fuelectenerg-618	464	23	x1,x2	x1,x2	PROPN
fuelectenerg-618	464	24	)	)	PUNCT
fuelectenerg-618	464	25	2	2	NUM
fuelectenerg-618	464	26	f	f	NOUN
fuelectenerg-618	464	27	(	(	PUNCT
fuelectenerg-618	464	28	x	x	NOUN
fuelectenerg-618	464	29	)	)	PUNCT
fuelectenerg-618	464	30	=	=	SYM
fuelectenerg-618	464	31	f	f	PROPN
fuelectenerg-618	464	32	(	(	PUNCT
fuelectenerg-618	464	33	x)∨	x)∨	PROPN
fuelectenerg-618	464	34	∂	∂	X
fuelectenerg-618	464	35	f	f	PROPN
fuelectenerg-618	464	36	(	(	PUNCT
fuelectenerg-618	464	37	x	x	X
fuelectenerg-618	464	38	)	)	PUNCT
fuelectenerg-618	464	39	∂x1	∂x1	NOUN
fuelectenerg-618	464	40	∨	∨	NUM
fuelectenerg-618	464	41	∂	∂	NUM
fuelectenerg-618	464	42	f	f	PROPN
fuelectenerg-618	464	43	(	(	PUNCT
fuelectenerg-618	464	44	x	x	X
fuelectenerg-618	464	45	)	)	PUNCT
fuelectenerg-618	464	46	∂x2	∂x2	NOUN
fuelectenerg-618	464	47	∨	∨	NOUN
fuelectenerg-618	464	48	∂	∂	NOUN
fuelectenerg-618	464	49	f	f	PROPN
fuelectenerg-618	464	50	(	(	PUNCT
fuelectenerg-618	464	51	x	x	NOUN
fuelectenerg-618	464	52	)	)	PUNCT
fuelectenerg-618	464	53	∂	∂	NUM
fuelectenerg-618	464	54	(	(	PUNCT
fuelectenerg-618	464	55	x1,x2	x1,x2	PROPN
fuelectenerg-618	464	56	)	)	PUNCT
fuelectenerg-618	464	57	(	(	PUNCT
fuelectenerg-618	464	58	36	36	NUM
fuelectenerg-618	464	59	)	)	PUNCT
fuelectenerg-618	464	60	∂	∂	NUM
fuelectenerg-618	464	61	2	2	NUM
fuelectenerg-618	464	62	f	f	X
fuelectenerg-618	464	63	(	(	PUNCT
fuelectenerg-618	464	64	x	x	NOUN
fuelectenerg-618	464	65	)	)	PUNCT
fuelectenerg-618	464	66	∂x1∂x2	∂x1∂x2	NOUN
fuelectenerg-618	464	67	=	=	SYM
fuelectenerg-618	464	68	∂	∂	NUM
fuelectenerg-618	464	69	f	f	NOUN
fuelectenerg-618	464	70	(	(	PUNCT
fuelectenerg-618	464	71	x	x	X
fuelectenerg-618	464	72	)	)	PUNCT
fuelectenerg-618	464	73	∂x1	∂x1	PROPN
fuelectenerg-618	464	74	⊕	⊕	PROPN
fuelectenerg-618	464	75	∂	∂	NUM
fuelectenerg-618	464	76	f	f	PROPN
fuelectenerg-618	464	77	(	(	PUNCT
fuelectenerg-618	464	78	x	x	X
fuelectenerg-618	464	79	)	)	PUNCT
fuelectenerg-618	464	80	∂x2	∂x2	NOUN
fuelectenerg-618	464	81	⊕	⊕	PROPN
fuelectenerg-618	464	82	∂	∂	NOUN
fuelectenerg-618	465	1	f	f	X
fuelectenerg-618	465	2	(	(	PUNCT
fuelectenerg-618	465	3	x	x	NOUN
fuelectenerg-618	465	4	)	)	PUNCT
fuelectenerg-618	465	5	∂	∂	NUM
fuelectenerg-618	465	6	(	(	PUNCT
fuelectenerg-618	465	7	x1,x2	x1,x2	PROPN
fuelectenerg-618	465	8	)	)	PUNCT
fuelectenerg-618	465	9	(	(	PUNCT
fuelectenerg-618	465	10	37	37	NUM
fuelectenerg-618	465	11	)	)	PUNCT
fuelectenerg-618	465	12	∆(x1,x2	∆(x1,x2	NOUN
fuelectenerg-618	465	13	)	)	PUNCT
fuelectenerg-618	466	1	f	f	NOUN
fuelectenerg-618	466	2	(	(	PUNCT
fuelectenerg-618	466	3	x	x	X
fuelectenerg-618	466	4	)	)	PUNCT
fuelectenerg-618	466	5	=	=	SYM
fuelectenerg-618	467	1	∂	∂	NUM
fuelectenerg-618	467	2	f	f	NOUN
fuelectenerg-618	467	3	(	(	PUNCT
fuelectenerg-618	467	4	x	x	X
fuelectenerg-618	467	5	)	)	PUNCT
fuelectenerg-618	467	6	∂x1	∂x1	NOUN
fuelectenerg-618	467	7	∨	∨	NUM
fuelectenerg-618	467	8	∂	∂	NUM
fuelectenerg-618	467	9	f	f	PROPN
fuelectenerg-618	467	10	(	(	PUNCT
fuelectenerg-618	467	11	x	x	X
fuelectenerg-618	467	12	)	)	PUNCT
fuelectenerg-618	467	13	∂x2	∂x2	NOUN
fuelectenerg-618	467	14	∨	∨	NOUN
fuelectenerg-618	467	15	∂	∂	NOUN
fuelectenerg-618	467	16	f	f	PROPN
fuelectenerg-618	467	17	(	(	PUNCT
fuelectenerg-618	467	18	x	x	NOUN
fuelectenerg-618	467	19	)	)	PUNCT
fuelectenerg-618	467	20	∂	∂	NUM
fuelectenerg-618	467	21	(	(	PUNCT
fuelectenerg-618	467	22	x1,x2	x1,x2	PROPN
fuelectenerg-618	467	23	)	)	PUNCT
fuelectenerg-618	467	24	(	(	PUNCT
fuelectenerg-618	467	25	38	38	NUM
fuelectenerg-618	467	26	)	)	PUNCT
fuelectenerg-618	467	27	general	general	ADJ
fuelectenerg-618	467	28	formulas	formula	NOUN
fuelectenerg-618	467	29	to	to	PART
fuelectenerg-618	467	30	express	express	VERB
fuelectenerg-618	467	31	the	the	DET
fuelectenerg-618	467	32	simple	simple	ADJ
fuelectenerg-618	467	33	or	or	CCONJ
fuelectenerg-618	467	34	vectorial	vectorial	ADJ
fuelectenerg-618	467	35	minimum	minimum	NOUN
fuelectenerg-618	467	36	or	or	CCONJ
fuelectenerg-618	467	37	maximum	maximum	ADJ
fuelectenerg-618	467	38	by	by	ADP
fuelectenerg-618	467	39	the	the	DET
fuelectenerg-618	467	40	function	function	NOUN
fuelectenerg-618	467	41	f	f	PROPN
fuelectenerg-618	467	42	(	(	PUNCT
fuelectenerg-618	467	43	x	x	NOUN
fuelectenerg-618	467	44	)	)	PUNCT
fuelectenerg-618	467	45	and	and	CCONJ
fuelectenerg-618	467	46	simple	simple	ADJ
fuelectenerg-618	467	47	or	or	CCONJ
fuelectenerg-618	467	48	vectorial	vectorial	ADJ
fuelectenerg-618	467	49	derivatives	derivative	NOUN
fuelectenerg-618	467	50	are	be	AUX
fuelectenerg-618	467	51	given	give	VERB
fuelectenerg-618	467	52	in	in	ADP
fuelectenerg-618	467	53	(	(	PUNCT
fuelectenerg-618	467	54	31	31	NUM
fuelectenerg-618	467	55	)	)	PUNCT
fuelectenerg-618	467	56	,	,	PUNCT
fuelectenerg-618	467	57	.	.	PUNCT
fuelectenerg-618	467	58	.	.	PUNCT
fuelectenerg-618	467	59	.	.	PUNCT
fuelectenerg-618	468	1	,	,	PUNCT
fuelectenerg-618	468	2	(	(	PUNCT
fuelectenerg-618	468	3	34	34	NUM
fuelectenerg-618	468	4	)	)	PUNCT
fuelectenerg-618	468	5	.	.	PUNCT
fuelectenerg-618	469	1	the	the	DET
fuelectenerg-618	469	2	equations	equation	NOUN
fuelectenerg-618	469	3	(	(	PUNCT
fuelectenerg-618	469	4	35	35	NUM
fuelectenerg-618	469	5	)	)	PUNCT
fuelectenerg-618	469	6	,	,	PUNCT
fuelectenerg-618	469	7	.	.	PUNCT
fuelectenerg-618	469	8	.	.	PUNCT
fuelectenerg-618	469	9	.	.	PUNCT
fuelectenerg-618	470	1	,	,	PUNCT
fuelectenerg-618	470	2	(	(	PUNCT
fuelectenerg-618	470	3	38	38	NUM
fuelectenerg-618	470	4	)	)	PUNCT
fuelectenerg-618	470	5	describe	describe	VERB
fuelectenerg-618	470	6	how	how	SCONJ
fuelectenerg-618	470	7	all	all	DET
fuelectenerg-618	470	8	2	2	NUM
fuelectenerg-618	470	9	-	-	ADJ
fuelectenerg-618	470	10	fold	fold	ADJ
fuelectenerg-618	470	11	derivative	derivative	ADJ
fuelectenerg-618	470	12	operations	operation	NOUN
fuelectenerg-618	470	13	can	can	AUX
fuelectenerg-618	470	14	be	be	AUX
fuelectenerg-618	470	15	transformed	transform	VERB
fuelectenerg-618	470	16	into	into	ADP
fuelectenerg-618	470	17	expressions	expression	NOUN
fuelectenerg-618	470	18	that	that	PRON
fuelectenerg-618	470	19	contain	contain	VERB
fuelectenerg-618	470	20	only	only	ADV
fuelectenerg-618	470	21	the	the	DET
fuelectenerg-618	470	22	function	function	NOUN
fuelectenerg-618	470	23	f	f	X
fuelectenerg-618	470	24	(	(	PUNCT
fuelectenerg-618	470	25	x	x	NOUN
fuelectenerg-618	470	26	)	)	PUNCT
fuelectenerg-618	470	27	and	and	CCONJ
fuelectenerg-618	470	28	simple	simple	ADJ
fuelectenerg-618	470	29	or	or	CCONJ
fuelectenerg-618	470	30	vectorial	vectorial	ADJ
fuelectenerg-618	470	31	derivatives	derivative	NOUN
fuelectenerg-618	470	32	.	.	PUNCT
fuelectenerg-618	471	1	these	these	DET
fuelectenerg-618	471	2	formulas	formula	NOUN
fuelectenerg-618	471	3	can	can	AUX
fuelectenerg-618	471	4	be	be	AUX
fuelectenerg-618	471	5	generalized	generalize	VERB
fuelectenerg-618	471	6	for	for	ADP
fuelectenerg-618	471	7	any	any	DET
fuelectenerg-618	471	8	m≤	m≤	NOUN
fuelectenerg-618	471	9	n	n	PROPN
fuelectenerg-618	471	10	of	of	ADP
fuelectenerg-618	471	11	functions	function	NOUN
fuelectenerg-618	471	12	in	in	ADP
fuelectenerg-618	471	13	b	b	PROPN
fuelectenerg-618	471	14	n	n	CCONJ
fuelectenerg-618	471	15	[	[	X
fuelectenerg-618	471	16	6	6	NUM
fuelectenerg-618	471	17	]	]	PUNCT
fuelectenerg-618	471	18	.	.	PUNCT
fuelectenerg-618	472	1	using	use	VERB
fuelectenerg-618	472	2	these	these	DET
fuelectenerg-618	472	3	transformations	transformation	NOUN
fuelectenerg-618	472	4	each	each	DET
fuelectenerg-618	472	5	more	more	ADV
fuelectenerg-618	472	6	general	general	ADJ
fuelectenerg-618	472	7	bde	bde	PROPN
fuelectenerg-618	472	8	results	result	NOUN
fuelectenerg-618	472	9	either	either	CCONJ
fuelectenerg-618	472	10	in	in	ADP
fuelectenerg-618	472	11	the	the	DET
fuelectenerg-618	472	12	bde	bde	PROPN
fuelectenerg-618	472	13	boolean	boolean	PROPN
fuelectenerg-618	472	14	differential	differential	NOUN
fuelectenerg-618	472	15	equations	equation	NOUN
fuelectenerg-618	472	16	a	a	DET
fuelectenerg-618	472	17	common	common	ADJ
fuelectenerg-618	472	18	model	model	NOUN
fuelectenerg-618	472	19	for	for	ADP
fuelectenerg-618	472	20	classes	class	NOUN
fuelectenerg-618	472	21	,	,	PUNCT
fuelectenerg-618	472	22	lattices	lattice	NOUN
fuelectenerg-618	472	23	,	,	PUNCT
fuelectenerg-618	472	24	...	...	PUNCT
fuelectenerg-618	472	25	113	113	NUM
fuelectenerg-618	472	26	(	(	PUNCT
fuelectenerg-618	472	27	18	18	NUM
fuelectenerg-618	472	28	)	)	PUNCT
fuelectenerg-618	472	29	for	for	ADP
fuelectenerg-618	472	30	which	which	PRON
fuelectenerg-618	472	31	the	the	DET
fuelectenerg-618	472	32	solution	solution	NOUN
fuelectenerg-618	472	33	classes	class	NOUN
fuelectenerg-618	472	34	can	can	AUX
fuelectenerg-618	472	35	be	be	AUX
fuelectenerg-618	472	36	calculated	calculate	VERB
fuelectenerg-618	472	37	using	use	VERB
fuelectenerg-618	472	38	algorithm	algorithm	NOUN
fuelectenerg-618	472	39	1	1	NUM
fuelectenerg-618	472	40	,	,	PUNCT
fuelectenerg-618	472	41	or	or	CCONJ
fuelectenerg-618	472	42	it	it	PRON
fuelectenerg-618	472	43	results	result	VERB
fuelectenerg-618	472	44	in	in	ADP
fuelectenerg-618	472	45	the	the	DET
fuelectenerg-618	472	46	bde	bde	PROPN
fuelectenerg-618	472	47	(	(	PUNCT
fuelectenerg-618	472	48	29	29	NUM
fuelectenerg-618	472	49	)	)	PUNCT
fuelectenerg-618	472	50	so	so	SCONJ
fuelectenerg-618	472	51	that	that	SCONJ
fuelectenerg-618	472	52	the	the	DET
fuelectenerg-618	472	53	arbitrary	arbitrary	ADJ
fuelectenerg-618	472	54	solution	solution	NOUN
fuelectenerg-618	472	55	set	set	NOUN
fuelectenerg-618	472	56	is	be	AUX
fuelectenerg-618	472	57	found	find	VERB
fuelectenerg-618	472	58	using	use	VERB
fuelectenerg-618	472	59	algorithm	algorithm	NOUN
fuelectenerg-618	472	60	2	2	NUM
fuelectenerg-618	472	61	.	.	NOUN
fuelectenerg-618	472	62	3.5	3.5	NUM
fuelectenerg-618	472	63	solving	solve	VERB
fuelectenerg-618	472	64	a	a	DET
fuelectenerg-618	472	65	boolean	boolean	ADJ
fuelectenerg-618	472	66	differential	differential	ADJ
fuelectenerg-618	472	67	equations	equation	NOUN
fuelectenerg-618	472	68	using	use	VERB
fuelectenerg-618	472	69	a	a	DET
fuelectenerg-618	472	70	xboole	xboole	NOUN
fuelectenerg-618	472	71	prp	prp	NOUN
fuelectenerg-618	472	72	the	the	DET
fuelectenerg-618	472	73	xboole	xboole	NOUN
fuelectenerg-618	472	74	-	-	PUNCT
fuelectenerg-618	472	75	monitor	monitor	NOUN
fuelectenerg-618	472	76	can	can	AUX
fuelectenerg-618	472	77	be	be	AUX
fuelectenerg-618	472	78	downloaded	download	VERB
fuelectenerg-618	472	79	(	(	PUNCT
fuelectenerg-618	472	80	for	for	ADP
fuelectenerg-618	472	81	free	free	ADJ
fuelectenerg-618	472	82	)	)	PUNCT
fuelectenerg-618	472	83	from	from	ADP
fuelectenerg-618	472	84	:	:	PUNCT
fuelectenerg-618	472	85	http://www.informatik.tu-freiberg.de/xboole/	http://www.informatik.tu-freiberg.de/xboole/	ADJ
fuelectenerg-618	472	86	and	and	CCONJ
fuelectenerg-618	472	87	provides	provide	VERB
fuelectenerg-618	472	88	many	many	ADJ
fuelectenerg-618	472	89	operations	operation	NOUN
fuelectenerg-618	472	90	which	which	PRON
fuelectenerg-618	472	91	can	can	AUX
fuelectenerg-618	472	92	be	be	AUX
fuelectenerg-618	472	93	applied	apply	VERB
fuelectenerg-618	472	94	to	to	ADP
fuelectenerg-618	472	95	sets	set	NOUN
fuelectenerg-618	472	96	of	of	ADP
fuelectenerg-618	472	97	boolean	boolean	ADJ
fuelectenerg-618	472	98	functions	function	NOUN
fuelectenerg-618	472	99	.	.	PUNCT
fuelectenerg-618	473	1	all	all	DET
fuelectenerg-618	473	2	xboole	xboole	NOUN
fuelectenerg-618	473	3	-	-	PUNCT
fuelectenerg-618	473	4	operations	operation	NOUN
fuelectenerg-618	473	5	are	be	AUX
fuelectenerg-618	473	6	explained	explain	VERB
fuelectenerg-618	473	7	in	in	ADP
fuelectenerg-618	473	8	the	the	DET
fuelectenerg-618	473	9	help	help	NOUN
fuelectenerg-618	473	10	-	-	PUNCT
fuelectenerg-618	473	11	system	system	NOUN
fuelectenerg-618	473	12	of	of	ADP
fuelectenerg-618	473	13	the	the	DET
fuelectenerg-618	473	14	xboole	xboole	NOUN
fuelectenerg-618	473	15	-	-	PUNCT
fuelectenerg-618	473	16	monitor	monitor	NOUN
fuelectenerg-618	473	17	.	.	PUNCT
fuelectenerg-618	474	1	we	we	PRON
fuelectenerg-618	474	2	summarize	summarize	VERB
fuelectenerg-618	474	3	here	here	ADV
fuelectenerg-618	474	4	some	some	DET
fuelectenerg-618	474	5	xboole	xboole	NOUN
fuelectenerg-618	474	6	-	-	PUNCT
fuelectenerg-618	474	7	operations	operation	NOUN
fuelectenerg-618	474	8	needed	need	VERB
fuelectenerg-618	474	9	to	to	PART
fuelectenerg-618	474	10	solve	solve	VERB
fuelectenerg-618	474	11	a	a	DET
fuelectenerg-618	474	12	bde	bde	NOUN
fuelectenerg-618	474	13	.	.	PUNCT
fuelectenerg-618	475	1	all	all	DET
fuelectenerg-618	475	2	xboole	xboole	NOUN
fuelectenerg-618	475	3	-	-	PUNCT
fuelectenerg-618	475	4	objects	object	NOUN
fuelectenerg-618	475	5	are	be	AUX
fuelectenerg-618	475	6	indicated	indicate	VERB
fuelectenerg-618	475	7	by	by	ADP
fuelectenerg-618	475	8	numbers	number	NOUN
fuelectenerg-618	475	9	.	.	PUNCT
fuelectenerg-618	476	1	the	the	DET
fuelectenerg-618	476	2	xboole	xboole	PROPN
fuelectenerg-618	476	3	-	-	PUNCT
fuelectenerg-618	476	4	operations	operation	NOUN
fuelectenerg-618	476	5	can	can	AUX
fuelectenerg-618	476	6	be	be	AUX
fuelectenerg-618	476	7	executed	execute	VERB
fuelectenerg-618	476	8	in	in	ADP
fuelectenerg-618	476	9	the	the	DET
fuelectenerg-618	476	10	xboole	xboole	NOUN
fuelectenerg-618	476	11	-	-	PUNCT
fuelectenerg-618	476	12	monitor	monitor	NOUN
fuelectenerg-618	476	13	by	by	ADP
fuelectenerg-618	476	14	means	mean	NOUN
fuelectenerg-618	476	15	of	of	ADP
fuelectenerg-618	476	16	1	1	NUM
fuelectenerg-618	476	17	.	.	PUNCT
fuelectenerg-618	477	1	a	a	DET
fuelectenerg-618	477	2	selected	select	VERB
fuelectenerg-618	477	3	and	and	CCONJ
fuelectenerg-618	477	4	parametrized	parametrized	ADJ
fuelectenerg-618	477	5	menu	menu	NOUN
fuelectenerg-618	477	6	item	item	NOUN
fuelectenerg-618	477	7	,	,	PUNCT
fuelectenerg-618	477	8	2	2	NUM
fuelectenerg-618	477	9	.	.	X
fuelectenerg-618	477	10	a	a	DET
fuelectenerg-618	477	11	tool	tool	NOUN
fuelectenerg-618	477	12	-	-	PUNCT
fuelectenerg-618	477	13	bar	bar	NOUN
fuelectenerg-618	477	14	button	button	NOUN
fuelectenerg-618	477	15	followed	follow	VERB
fuelectenerg-618	477	16	by	by	ADP
fuelectenerg-618	477	17	the	the	DET
fuelectenerg-618	477	18	same	same	ADJ
fuelectenerg-618	477	19	dialog	dialog	NOUN
fuelectenerg-618	477	20	to	to	PART
fuelectenerg-618	477	21	specify	specify	VERB
fuelectenerg-618	477	22	the	the	DET
fuelectenerg-618	477	23	parameters	parameter	NOUN
fuelectenerg-618	477	24	,	,	PUNCT
fuelectenerg-618	477	25	3	3	X
fuelectenerg-618	477	26	.	.	X
fuelectenerg-618	478	1	a	a	DET
fuelectenerg-618	478	2	xboole	xboole	NOUN
fuelectenerg-618	478	3	-	-	PUNCT
fuelectenerg-618	478	4	command	command	NOUN
fuelectenerg-618	478	5	that	that	PRON
fuelectenerg-618	478	6	specifies	specify	VERB
fuelectenerg-618	478	7	both	both	CCONJ
fuelectenerg-618	478	8	the	the	DET
fuelectenerg-618	478	9	operation	operation	NOUN
fuelectenerg-618	478	10	and	and	CCONJ
fuelectenerg-618	478	11	the	the	DET
fuelectenerg-618	478	12	objects	object	NOUN
fuelectenerg-618	478	13	,	,	PUNCT
fuelectenerg-618	478	14	and	and	CCONJ
fuelectenerg-618	478	15	4	4	NUM
fuelectenerg-618	478	16	.	.	X
fuelectenerg-618	478	17	a	a	DET
fuelectenerg-618	478	18	xboole	xboole	NOUN
fuelectenerg-618	478	19	-	-	PUNCT
fuelectenerg-618	478	20	problem	problem	NOUN
fuelectenerg-618	478	21	program	program	NOUN
fuelectenerg-618	478	22	(	(	PUNCT
fuelectenerg-618	478	23	prp	prp	PROPN
fuelectenerg-618	478	24	)	)	PUNCT
fuelectenerg-618	478	25	that	that	PRON
fuelectenerg-618	478	26	contains	contain	VERB
fuelectenerg-618	478	27	a	a	DET
fuelectenerg-618	478	28	sequence	sequence	NOUN
fuelectenerg-618	478	29	of	of	ADP
fuelectenerg-618	478	30	commands	command	NOUN
fuelectenerg-618	478	31	.	.	PUNCT
fuelectenerg-618	479	1	the	the	DET
fuelectenerg-618	479	2	main	main	ADJ
fuelectenerg-618	479	3	data	data	NOUN
fuelectenerg-618	479	4	structure	structure	NOUN
fuelectenerg-618	479	5	is	be	AUX
fuelectenerg-618	479	6	the	the	DET
fuelectenerg-618	479	7	ternary	ternary	ADJ
fuelectenerg-618	479	8	vector	vector	NOUN
fuelectenerg-618	479	9	list	list	NOUN
fuelectenerg-618	479	10	(	(	PUNCT
fuelectenerg-618	479	11	tvl	tvl	PROPN
fuelectenerg-618	479	12	)	)	PUNCT
fuelectenerg-618	479	13	.	.	PUNCT
fuelectenerg-618	480	1	all	all	DET
fuelectenerg-618	480	2	xboole	xboole	NOUN
fuelectenerg-618	480	3	-	-	PUNCT
fuelectenerg-618	480	4	operations	operation	NOUN
fuelectenerg-618	480	5	are	be	AUX
fuelectenerg-618	480	6	executed	execute	VERB
fuelectenerg-618	480	7	in	in	ADP
fuelectenerg-618	480	8	a	a	DET
fuelectenerg-618	480	9	boolean	boolean	ADJ
fuelectenerg-618	480	10	space	space	NOUN
fuelectenerg-618	480	11	.	.	PUNCT
fuelectenerg-618	481	1	the	the	DET
fuelectenerg-618	481	2	user	user	NOUN
fuelectenerg-618	481	3	must	must	AUX
fuelectenerg-618	481	4	specify	specify	VERB
fuelectenerg-618	481	5	the	the	DET
fuelectenerg-618	481	6	number	number	NOUN
fuelectenerg-618	481	7	of	of	ADP
fuelectenerg-618	481	8	boolean	boolean	ADJ
fuelectenerg-618	481	9	variables	variable	NOUN
fuelectenerg-618	481	10	which	which	PRON
fuelectenerg-618	481	11	can	can	AUX
fuelectenerg-618	481	12	be	be	AUX
fuelectenerg-618	481	13	used	use	VERB
fuelectenerg-618	481	14	in	in	ADP
fuelectenerg-618	481	15	a	a	DET
fuelectenerg-618	481	16	boolean	boolean	ADJ
fuelectenerg-618	481	17	space	space	NOUN
fuelectenerg-618	481	18	using	use	VERB
fuelectenerg-618	481	19	the	the	DET
fuelectenerg-618	481	20	xboole	xboole	NOUN
fuelectenerg-618	481	21	-	-	PUNCT
fuelectenerg-618	481	22	command	command	NOUN
fuelectenerg-618	481	23	:	:	PUNCT
fuelectenerg-618	481	24	space	space	NOUN
fuelectenerg-618	481	25	vmax	vmax	PROPN
fuelectenerg-618	481	26	sno	sno	PROPN
fuelectenerg-618	481	27	where	where	SCONJ
fuelectenerg-618	481	28	vmax	vmax	PROPN
fuelectenerg-618	481	29	is	be	AUX
fuelectenerg-618	481	30	the	the	DET
fuelectenerg-618	481	31	number	number	NOUN
fuelectenerg-618	481	32	of	of	ADP
fuelectenerg-618	481	33	variables	variable	NOUN
fuelectenerg-618	481	34	and	and	CCONJ
fuelectenerg-618	481	35	sno	sno	NOUN
fuelectenerg-618	481	36	is	be	AUX
fuelectenerg-618	481	37	the	the	DET
fuelectenerg-618	481	38	number	number	NOUN
fuelectenerg-618	481	39	of	of	ADP
fuelectenerg-618	481	40	the	the	DET
fuelectenerg-618	481	41	space	space	NOUN
fuelectenerg-618	481	42	.	.	PUNCT
fuelectenerg-618	482	1	variables	variable	NOUN
fuelectenerg-618	482	2	in	in	ADP
fuelectenerg-618	482	3	a	a	DET
fuelectenerg-618	482	4	wanted	want	VERB
fuelectenerg-618	482	5	order	order	NOUN
fuelectenerg-618	482	6	can	can	AUX
fuelectenerg-618	482	7	be	be	AUX
fuelectenerg-618	482	8	attached	attach	VERB
fuelectenerg-618	482	9	to	to	ADP
fuelectenerg-618	482	10	an	an	DET
fuelectenerg-618	482	11	xboole	xboole	NOUN
fuelectenerg-618	482	12	-	-	PUNCT
fuelectenerg-618	482	13	space	space	NOUN
fuelectenerg-618	482	14	using	using	NOUN
fuelectenerg-618	482	15	:	:	PUNCT
fuelectenerg-618	482	16	avar	avar	PROPN
fuelectenerg-618	482	17	sni	sni	PROPN
fuelectenerg-618	482	18	where	where	SCONJ
fuelectenerg-618	482	19	on	on	ADP
fuelectenerg-618	482	20	the	the	DET
fuelectenerg-618	482	21	next	next	ADJ
fuelectenerg-618	482	22	lines	line	NOUN
fuelectenerg-618	482	23	the	the	DET
fuelectenerg-618	482	24	names	name	NOUN
fuelectenerg-618	482	25	of	of	ADP
fuelectenerg-618	482	26	the	the	DET
fuelectenerg-618	482	27	variables	variable	NOUN
fuelectenerg-618	482	28	separated	separate	VERB
fuelectenerg-618	482	29	by	by	ADP
fuelectenerg-618	482	30	a	a	DET
fuelectenerg-618	482	31	space	space	NOUN
fuelectenerg-618	482	32	and	and	CCONJ
fuelectenerg-618	482	33	finished	finish	VERB
fuelectenerg-618	482	34	by	by	ADP
fuelectenerg-618	482	35	a	a	DET
fuelectenerg-618	482	36	point	point	NOUN
fuelectenerg-618	482	37	(	(	PUNCT
fuelectenerg-618	482	38	.	.	PUNCT
fuelectenerg-618	482	39	)	)	PUNCT
fuelectenerg-618	482	40	are	be	AUX
fuelectenerg-618	482	41	declared	declare	VERB
fuelectenerg-618	482	42	.	.	PUNCT
fuelectenerg-618	483	1	a	a	DET
fuelectenerg-618	483	2	boolean	boolean	ADJ
fuelectenerg-618	483	3	equation	equation	NOUN
fuelectenerg-618	483	4	or	or	CCONJ
fuelectenerg-618	483	5	a	a	DET
fuelectenerg-618	483	6	system	system	NOUN
fuelectenerg-618	483	7	of	of	ADP
fuelectenerg-618	483	8	boolean	boolean	ADJ
fuelectenerg-618	483	9	equations	equation	NOUN
fuelectenerg-618	483	10	is	be	AUX
fuelectenerg-618	483	11	solved	solve	VERB
fuelectenerg-618	483	12	using	use	VERB
fuelectenerg-618	483	13	:	:	PUNCT
fuelectenerg-618	483	14	sbe	sbe	PROPN
fuelectenerg-618	483	15	sni	sni	PROPN
fuelectenerg-618	483	16	tno	tno	PROPN
fuelectenerg-618	483	17	where	where	SCONJ
fuelectenerg-618	483	18	tno	tno	PROPN
fuelectenerg-618	483	19	is	be	AUX
fuelectenerg-618	483	20	the	the	DET
fuelectenerg-618	483	21	object	object	NOUN
fuelectenerg-618	483	22	number	number	NOUN
fuelectenerg-618	483	23	of	of	ADP
fuelectenerg-618	483	24	the	the	DET
fuelectenerg-618	483	25	result	result	NOUN
fuelectenerg-618	483	26	tvl	tvl	PROPN
fuelectenerg-618	483	27	and	and	CCONJ
fuelectenerg-618	483	28	the	the	DET
fuelectenerg-618	483	29	boolean	boolean	ADJ
fuelectenerg-618	483	30	equation	equation	NOUN
fuelectenerg-618	483	31	is	be	AUX
fuelectenerg-618	483	32	given	give	VERB
fuelectenerg-618	483	33	on	on	ADP
fuelectenerg-618	483	34	the	the	DET
fuelectenerg-618	483	35	following	follow	VERB
fuelectenerg-618	483	36	lines	line	NOUN
fuelectenerg-618	483	37	finished	finish	VERB
fuelectenerg-618	483	38	by	by	ADP
fuelectenerg-618	483	39	a	a	DET
fuelectenerg-618	483	40	point	point	NOUN
fuelectenerg-618	483	41	(	(	PUNCT
fuelectenerg-618	483	42	.	.	PUNCT
fuelectenerg-618	483	43	)	)	PUNCT
fuelectenerg-618	483	44	using	use	VERB
fuelectenerg-618	483	45	the	the	DET
fuelectenerg-618	483	46	operation	operation	NOUN
fuelectenerg-618	483	47	signs	sign	NOUN
fuelectenerg-618	483	48	‘	'	PUNCT
fuelectenerg-618	483	49	/	/	SYM
fuelectenerg-618	483	50	’	'	PUNCT
fuelectenerg-618	483	51	for	for	ADP
fuelectenerg-618	483	52	the	the	DET
fuelectenerg-618	483	53	negation	negation	NOUN
fuelectenerg-618	483	54	,	,	PUNCT
fuelectenerg-618	483	55	‘	'	PUNCT
fuelectenerg-618	483	56	&	&	CCONJ
fuelectenerg-618	483	57	’	'	PUNCT
fuelectenerg-618	483	58	for	for	ADP
fuelectenerg-618	483	59	the	the	DET
fuelectenerg-618	483	60	conjunction	conjunction	NOUN
fuelectenerg-618	483	61	∧	∧	PROPN
fuelectenerg-618	483	62	,	,	PUNCT
fuelectenerg-618	483	63	‘	'	PUNCT
fuelectenerg-618	483	64	+	+	NOUN
fuelectenerg-618	483	65	’	'	PUNCT
fuelectenerg-618	483	66	for	for	ADP
fuelectenerg-618	483	67	the	the	DET
fuelectenerg-618	483	68	disjunction	disjunction	NOUN
fuelectenerg-618	483	69	∨	∨	NOUN
fuelectenerg-618	483	70	,	,	PUNCT
fuelectenerg-618	483	71	‘	'	PUNCT
fuelectenerg-618	483	72	#	#	NOUN
fuelectenerg-618	483	73	’	'	PUNCT
fuelectenerg-618	483	74	for	for	ADP
fuelectenerg-618	483	75	the	the	DET
fuelectenerg-618	483	76	antivalence	antivalence	NOUN
fuelectenerg-618	483	77	⊕	⊕	PROPN
fuelectenerg-618	483	78	,	,	PUNCT
fuelectenerg-618	483	79	‘	'	PUNCT
fuelectenerg-618	483	80	=	=	NOUN
fuelectenerg-618	483	81	’	'	PUNCT
fuelectenerg-618	483	82	for	for	ADP
fuelectenerg-618	483	83	the	the	DET
fuelectenerg-618	483	84	equivalence	equivalence	NOUN
fuelectenerg-618	483	85	⊙	⊙	NOUN
fuelectenerg-618	483	86	as	as	ADV
fuelectenerg-618	483	87	well	well	ADV
fuelectenerg-618	483	88	as	as	ADP
fuelectenerg-618	483	89	for	for	ADP
fuelectenerg-618	483	90	separating	separate	VERB
fuelectenerg-618	483	91	both	both	DET
fuelectenerg-618	483	92	sides	side	NOUN
fuelectenerg-618	483	93	of	of	ADP
fuelectenerg-618	483	94	the	the	DET
fuelectenerg-618	483	95	equation	equation	NOUN
fuelectenerg-618	483	96	,	,	PUNCT
fuelectenerg-618	483	97	and	and	CCONJ
fuelectenerg-618	483	98	‘	'	PUNCT
fuelectenerg-618	483	99	,	,	PUNCT
fuelectenerg-618	483	100	’	'	PUNCT
fuelectenerg-618	483	101	to	to	PART
fuelectenerg-618	483	102	separate	separate	VERB
fuelectenerg-618	483	103	the	the	DET
fuelectenerg-618	483	104	equations	equation	NOUN
fuelectenerg-618	483	105	within	within	ADP
fuelectenerg-618	483	106	a	a	DET
fuelectenerg-618	483	107	system	system	NOUN
fuelectenerg-618	483	108	of	of	ADP
fuelectenerg-618	483	109	boolean	boolean	ADJ
fuelectenerg-618	483	110	equations	equation	NOUN
fuelectenerg-618	483	111	.	.	PUNCT
fuelectenerg-618	484	1	logic	logic	NOUN
fuelectenerg-618	484	2	operations	operation	NOUN
fuelectenerg-618	484	3	for	for	ADP
fuelectenerg-618	484	4	the	the	DET
fuelectenerg-618	484	5	input	input	NOUN
fuelectenerg-618	484	6	tvl	tvl	PROPN
fuelectenerg-618	484	7	(	(	PUNCT
fuelectenerg-618	484	8	tni	tni	NOUN
fuelectenerg-618	484	9	,	,	PUNCT
fuelectenerg-618	484	10	tni1	tni1	PROPN
fuelectenerg-618	484	11	,	,	PUNCT
fuelectenerg-618	484	12	tni2	tni2	PROPN
fuelectenerg-618	484	13	)	)	PUNCT
fuelectenerg-618	484	14	and	and	CCONJ
fuelectenerg-618	484	15	the	the	DET
fuelectenerg-618	484	16	calculation	calculation	NOUN
fuelectenerg-618	484	17	of	of	ADP
fuelectenerg-618	484	18	the	the	DET
fuelectenerg-618	484	19	output	output	NOUN
fuelectenerg-618	484	20	tvl	tvl	PROPN
fuelectenerg-618	484	21	(	(	PUNCT
fuelectenerg-618	484	22	tno	tno	PROPN
fuelectenerg-618	484	23	)	)	PUNCT
fuelectenerg-618	484	24	are	be	AUX
fuelectenerg-618	484	25	given	give	VERB
fuelectenerg-618	484	26	by	by	ADP
fuelectenerg-618	484	27	:	:	PUNCT
fuelectenerg-618	484	28	•	•	NUM
fuelectenerg-618	484	29	negation	negation	NOUN
fuelectenerg-618	484	30	fo	fo	ADP
fuelectenerg-618	484	31	=	=	SYM
fuelectenerg-618	484	32	f	f	PROPN
fuelectenerg-618	484	33	(	(	PUNCT
fuelectenerg-618	484	34	complement	complement	NOUN
fuelectenerg-618	484	35	):	):	PUNCT
fuelectenerg-618	484	36	cpl	cpl	PROPN
fuelectenerg-618	484	37	tni	tni	PROPN
fuelectenerg-618	484	38	tno	tno	PROPN
fuelectenerg-618	484	39	62	62	NUM
fuelectenerg-618	484	40	b.	b.	PROPN
fuelectenerg-618	484	41	steinbach	steinbach	PROPN
fuelectenerg-618	484	42	,	,	PUNCT
fuelectenerg-618	484	43	c.	c.	PROPN
fuelectenerg-618	484	44	posthoff	posthoff	PROPN
fuelectenerg-618	484	45	boolean	boolean	ADJ
fuelectenerg-618	484	46	differential	differential	ADJ
fuelectenerg-618	484	47	equations	equation	NOUN
fuelectenerg-618	484	48	–	–	PUNCT
fuelectenerg-618	484	49	a	a	DET
fuelectenerg-618	484	50	common	common	ADJ
fuelectenerg-618	484	51	model	model	NOUN
fuelectenerg-618	484	52	for	for	ADP
fuelectenerg-618	484	53	classes	class	NOUN
fuelectenerg-618	484	54	,	,	PUNCT
fuelectenerg-618	484	55	lattices	lattice	NOUN
fuelectenerg-618	484	56	...	...	PUNCT
fuelectenerg-618	484	57	63	63	NUM
fuelectenerg-618	484	58	114	114	NUM
fuelectenerg-618	484	59	b.	b.	NOUN
fuelectenerg-618	484	60	steinbach	steinbach	PROPN
fuelectenerg-618	484	61	and	and	CCONJ
fuelectenerg-618	484	62	c.	c.	PROPN
fuelectenerg-618	484	63	posthoff	posthoff	VERB
fuelectenerg-618	484	64	•	•	ADJ
fuelectenerg-618	484	65	conjunction	conjunction	NOUN
fuelectenerg-618	484	66	fo	fo	INTJ
fuelectenerg-618	484	67	=	=	SYM
fuelectenerg-618	484	68	f1	f1	NOUN
fuelectenerg-618	484	69	∧	∧	PROPN
fuelectenerg-618	484	70	f2	f2	PROPN
fuelectenerg-618	484	71	(	(	PUNCT
fuelectenerg-618	484	72	intersection	intersection	NOUN
fuelectenerg-618	484	73	):	):	PUNCT
fuelectenerg-618	485	1	isc	isc	PROPN
fuelectenerg-618	485	2	tni1	tni1	PROPN
fuelectenerg-618	485	3	tni2	tni2	PROPN
fuelectenerg-618	485	4	tno	tno	PROPN
fuelectenerg-618	485	5	•	•	NUM
fuelectenerg-618	485	6	disjunction	disjunction	NOUN
fuelectenerg-618	485	7	fo	fo	ADP
fuelectenerg-618	485	8	=	=	SYM
fuelectenerg-618	485	9	f1	f1	PROPN
fuelectenerg-618	485	10	∨	∨	NUM
fuelectenerg-618	485	11	f2	f2	PROPN
fuelectenerg-618	485	12	(	(	PUNCT
fuelectenerg-618	485	13	union	union	NOUN
fuelectenerg-618	485	14	):	):	PUNCT
fuelectenerg-618	485	15	uni	uni	PROPN
fuelectenerg-618	485	16	tni1	tni1	PROPN
fuelectenerg-618	485	17	tni2	tni2	PROPN
fuelectenerg-618	485	18	tno	tno	PROPN
fuelectenerg-618	485	19	•	•	ADJ
fuelectenerg-618	485	20	antivalence	antivalence	NOUN
fuelectenerg-618	485	21	fo	fo	ADP
fuelectenerg-618	485	22	=	=	SYM
fuelectenerg-618	485	23	f1	f1	PROPN
fuelectenerg-618	485	24	⊕	⊕	PROPN
fuelectenerg-618	485	25	f2	f2	PROPN
fuelectenerg-618	485	26	(	(	PUNCT
fuelectenerg-618	485	27	symmetric	symmetric	ADJ
fuelectenerg-618	485	28	difference	difference	NOUN
fuelectenerg-618	485	29	):	):	PUNCT
fuelectenerg-618	485	30	syd	syd	PROPN
fuelectenerg-618	485	31	tni1	tni1	PROPN
fuelectenerg-618	485	32	tni2	tni2	PROPN
fuelectenerg-618	485	33	tno	tno	PROPN
fuelectenerg-618	485	34	•	•	NOUN
fuelectenerg-618	485	35	equivalence	equivalence	NOUN
fuelectenerg-618	485	36	fo	fo	ADP
fuelectenerg-618	485	37	=	=	SYM
fuelectenerg-618	485	38	f1	f1	PROPN
fuelectenerg-618	485	39	⊙	⊙	PROPN
fuelectenerg-618	485	40	f2	f2	PROPN
fuelectenerg-618	485	41	(	(	PUNCT
fuelectenerg-618	485	42	complement	complement	NOUN
fuelectenerg-618	485	43	of	of	ADP
fuelectenerg-618	485	44	the	the	DET
fuelectenerg-618	485	45	symmetric	symmetric	ADJ
fuelectenerg-618	485	46	difference	difference	NOUN
fuelectenerg-618	485	47	):	):	PUNCT
fuelectenerg-618	485	48	csd	csd	PROPN
fuelectenerg-618	485	49	tni1	tni1	PROPN
fuelectenerg-618	485	50	tni2	tni2	PROPN
fuelectenerg-618	485	51	tno	tno	PROPN
fuelectenerg-618	485	52	an	an	DET
fuelectenerg-618	485	53	ordered	ordered	ADJ
fuelectenerg-618	485	54	set	set	NOUN
fuelectenerg-618	485	55	of	of	ADP
fuelectenerg-618	485	56	variables	variable	NOUN
fuelectenerg-618	485	57	can	can	AUX
fuelectenerg-618	485	58	be	be	AUX
fuelectenerg-618	485	59	defined	define	VERB
fuelectenerg-618	485	60	as	as	ADP
fuelectenerg-618	485	61	a	a	DET
fuelectenerg-618	485	62	xboole	xboole	NOUN
fuelectenerg-618	485	63	-	-	PUNCT
fuelectenerg-618	485	64	object	object	NOUN
fuelectenerg-618	485	65	called	call	VERB
fuelectenerg-618	485	66	variables	variable	NOUN
fuelectenerg-618	485	67	tuple	tuple	PROPN
fuelectenerg-618	485	68	(	(	PUNCT
fuelectenerg-618	485	69	vt	vt	PROPN
fuelectenerg-618	485	70	)	)	PUNCT
fuelectenerg-618	485	71	using	use	VERB
fuelectenerg-618	485	72	:	:	PUNCT
fuelectenerg-618	485	73	vtin	vtin	PROPN
fuelectenerg-618	485	74	sni	sni	PROPN
fuelectenerg-618	485	75	vtno	vtno	PROPN
fuelectenerg-618	485	76	followed	follow	VERB
fuelectenerg-618	485	77	by	by	ADP
fuelectenerg-618	485	78	the	the	DET
fuelectenerg-618	485	79	variable	variable	NOUN
fuelectenerg-618	485	80	in	in	ADP
fuelectenerg-618	485	81	the	the	DET
fuelectenerg-618	485	82	needed	need	VERB
fuelectenerg-618	485	83	order	order	NOUN
fuelectenerg-618	485	84	as	as	ADP
fuelectenerg-618	485	85	in	in	ADP
fuelectenerg-618	485	86	the	the	DET
fuelectenerg-618	485	87	case	case	NOUN
fuelectenerg-618	485	88	of	of	ADP
fuelectenerg-618	485	89	the	the	DET
fuelectenerg-618	485	90	command	command	NOUN
fuelectenerg-618	485	91	avar	avar	PROPN
fuelectenerg-618	485	92	.	.	PUNCT
fuelectenerg-618	486	1	two	two	NUM
fuelectenerg-618	486	2	such	such	ADJ
fuelectenerg-618	486	3	vts	vts	NOUN
fuelectenerg-618	486	4	define	define	NOUN
fuelectenerg-618	486	5	ordered	order	VERB
fuelectenerg-618	486	6	pairs	pair	NOUN
fuelectenerg-618	486	7	of	of	ADP
fuelectenerg-618	486	8	variables	variable	NOUN
fuelectenerg-618	486	9	which	which	PRON
fuelectenerg-618	486	10	can	can	AUX
fuelectenerg-618	486	11	be	be	AUX
fuelectenerg-618	486	12	changed	change	VERB
fuelectenerg-618	486	13	using	use	VERB
fuelectenerg-618	486	14	:	:	PUNCT
fuelectenerg-618	486	15	cco	cco	PROPN
fuelectenerg-618	486	16	tni	tni	PROPN
fuelectenerg-618	486	17	vtni1	vtni1	PROPN
fuelectenerg-618	486	18	vtni2	vtni2	PUNCT
fuelectenerg-618	487	1	tno	tno	NOUN
fuelectenerg-618	487	2	where	where	SCONJ
fuelectenerg-618	487	3	the	the	DET
fuelectenerg-618	487	4	exchange	exchange	NOUN
fuelectenerg-618	487	5	of	of	ADP
fuelectenerg-618	487	6	columns	column	NOUN
fuelectenerg-618	487	7	of	of	ADP
fuelectenerg-618	487	8	tni	tni	NOUN
fuelectenerg-618	487	9	is	be	AUX
fuelectenerg-618	487	10	realized	realize	VERB
fuelectenerg-618	487	11	for	for	ADP
fuelectenerg-618	487	12	all	all	DET
fuelectenerg-618	487	13	defined	define	VERB
fuelectenerg-618	487	14	pair	pair	NOUN
fuelectenerg-618	487	15	of	of	ADP
fuelectenerg-618	487	16	variables	variable	NOUN
fuelectenerg-618	487	17	.	.	PUNCT
fuelectenerg-618	488	1	alternatively	alternatively	ADV
fuelectenerg-618	488	2	the	the	DET
fuelectenerg-618	488	3	vts	vts	NOUN
fuelectenerg-618	488	4	can	can	AUX
fuelectenerg-618	488	5	be	be	AUX
fuelectenerg-618	488	6	directly	directly	ADV
fuelectenerg-618	488	7	specified	specify	VERB
fuelectenerg-618	488	8	within	within	ADP
fuelectenerg-618	488	9	a	a	DET
fuelectenerg-618	488	10	special	special	ADJ
fuelectenerg-618	488	11	xboolecommand	xboolecommand	NOUN
fuelectenerg-618	488	12	:	:	PUNCT
fuelectenerg-618	489	1	cco	cco	PROPN
fuelectenerg-618	489	2	tni	tni	NOUN
fuelectenerg-618	489	3	<	<	X
fuelectenerg-618	489	4	x1	x1	PROPN
fuelectenerg-618	489	5	x2	x2	PROPN
fuelectenerg-618	489	6	>	>	X
fuelectenerg-618	489	7	<	<	X
fuelectenerg-618	489	8	x8	x8	PROPN
fuelectenerg-618	489	9	x9	x9	PROPN
fuelectenerg-618	489	10	>	>	X
fuelectenerg-618	489	11	tno	tno	PROPN
fuelectenerg-618	489	12	which	which	PRON
fuelectenerg-618	489	13	exchanges	exchange	NOUN
fuelectenerg-618	489	14	,	,	PUNCT
fuelectenerg-618	489	15	e.g.	e.g.	ADV
fuelectenerg-618	489	16	,	,	PUNCT
fuelectenerg-618	489	17	column	column	NOUN
fuelectenerg-618	489	18	x1	x1	NUM
fuelectenerg-618	489	19	with	with	ADP
fuelectenerg-618	489	20	column	column	NOUN
fuelectenerg-618	489	21	x8	x8	PROPN
fuelectenerg-618	489	22	and	and	CCONJ
fuelectenerg-618	489	23	column	column	NOUN
fuelectenerg-618	489	24	x2	x2	PROPN
fuelectenerg-618	489	25	with	with	ADP
fuelectenerg-618	489	26	column	column	NOUN
fuelectenerg-618	489	27	x9	x9	PROPN
fuelectenerg-618	489	28	.	.	PUNCT
fuelectenerg-618	490	1	a	a	DET
fuelectenerg-618	490	2	single	single	ADJ
fuelectenerg-618	490	3	vt	vt	NOUN
fuelectenerg-618	490	4	is	be	AUX
fuelectenerg-618	490	5	used	use	VERB
fuelectenerg-618	490	6	to	to	PART
fuelectenerg-618	490	7	specify	specify	VERB
fuelectenerg-618	490	8	the	the	DET
fuelectenerg-618	490	9	variables	variable	NOUN
fuelectenerg-618	490	10	for	for	ADP
fuelectenerg-618	490	11	a	a	DET
fuelectenerg-618	490	12	vectorial	vectorial	ADJ
fuelectenerg-618	490	13	or	or	CCONJ
fuelectenerg-618	490	14	m	m	ADJ
fuelectenerg-618	490	15	-	-	ADJ
fuelectenerg-618	490	16	fold	fold	ADJ
fuelectenerg-618	490	17	derivative	derivative	ADJ
fuelectenerg-618	490	18	operation	operation	NOUN
fuelectenerg-618	490	19	;	;	PUNCT
fuelectenerg-618	490	20	e.g.	e.g.	ADV
fuelectenerg-618	490	21	:	:	PUNCT
fuelectenerg-618	490	22	maxk	maxk	NOUN
fuelectenerg-618	490	23	tni	tni	NOUN
fuelectenerg-618	490	24	vtni	vtni	NOUN
fuelectenerg-618	490	25	tno	tno	PROPN
fuelectenerg-618	490	26	calculates	calculate	VERB
fuelectenerg-618	490	27	the	the	DET
fuelectenerg-618	490	28	k	k	ADJ
fuelectenerg-618	490	29	-	-	ADJ
fuelectenerg-618	490	30	fold	fold	ADJ
fuelectenerg-618	490	31	maximum	maximum	NOUN
fuelectenerg-618	490	32	with	with	ADP
fuelectenerg-618	490	33	regard	regard	NOUN
fuelectenerg-618	490	34	to	to	ADP
fuelectenerg-618	490	35	all	all	DET
fuelectenerg-618	490	36	variables	variable	NOUN
fuelectenerg-618	490	37	specified	specify	VERB
fuelectenerg-618	490	38	in	in	ADP
fuelectenerg-618	490	39	vt	vt	PROPN
fuelectenerg-618	490	40	vtni	vtni	PROPN
fuelectenerg-618	490	41	and	and	CCONJ
fuelectenerg-618	490	42	maxk	maxk	PROPN
fuelectenerg-618	490	43	tni	tni	NOUN
fuelectenerg-618	490	44	<	<	X
fuelectenerg-618	490	45	xi	xi	X
fuelectenerg-618	490	46	x2	x2	PROPN
fuelectenerg-618	490	47	>	>	X
fuelectenerg-618	490	48	tno	tno	PROPN
fuelectenerg-618	490	49	calculates	calculate	VERB
fuelectenerg-618	490	50	the	the	DET
fuelectenerg-618	490	51	2	2	NUM
fuelectenerg-618	490	52	-	-	ADJ
fuelectenerg-618	490	53	fold	fold	ADJ
fuelectenerg-618	490	54	maximum	maximum	NOUN
fuelectenerg-618	490	55	with	with	ADP
fuelectenerg-618	490	56	regard	regard	NOUN
fuelectenerg-618	490	57	to	to	ADP
fuelectenerg-618	490	58	(	(	PUNCT
fuelectenerg-618	490	59	x1,x2	x1,x2	PROPN
fuelectenerg-618	490	60	)	)	PUNCT
fuelectenerg-618	490	61	.	.	PUNCT
fuelectenerg-618	491	1	example	example	NOUN
fuelectenerg-618	492	1	3	3	NUM
fuelectenerg-618	492	2	.	.	PUNCT
fuelectenerg-618	492	3	bent	bent	ADJ
fuelectenerg-618	492	4	functions	function	NOUN
fuelectenerg-618	492	5	[	[	X
fuelectenerg-618	492	6	7–9	7–9	X
fuelectenerg-618	492	7	]	]	X
fuelectenerg-618	492	8	are	be	AUX
fuelectenerg-618	492	9	the	the	DET
fuelectenerg-618	492	10	most	most	ADV
fuelectenerg-618	492	11	non	non	ADJ
fuelectenerg-618	492	12	-	-	ADJ
fuelectenerg-618	492	13	linear	linear	ADJ
fuelectenerg-618	492	14	functions	function	NOUN
fuelectenerg-618	492	15	which	which	PRON
fuelectenerg-618	492	16	are	be	AUX
fuelectenerg-618	492	17	needed	need	VERB
fuelectenerg-618	492	18	in	in	ADP
fuelectenerg-618	492	19	cryptography	cryptography	NOUN
fuelectenerg-618	492	20	.	.	PUNCT
fuelectenerg-618	493	1	the	the	DET
fuelectenerg-618	493	2	simplest	simple	ADJ
fuelectenerg-618	493	3	bent	bent	ADJ
fuelectenerg-618	493	4	functions	function	NOUN
fuelectenerg-618	493	5	are	be	AUX
fuelectenerg-618	493	6	specified	specify	VERB
fuelectenerg-618	493	7	by	by	ADP
fuelectenerg-618	493	8	the	the	DET
fuelectenerg-618	493	9	bde	bde	PROPN
fuelectenerg-618	493	10	:	:	PUNCT
fuelectenerg-618	493	11	∂	∂	NUM
fuelectenerg-618	493	12	2	2	NUM
fuelectenerg-618	493	13	f	f	NOUN
fuelectenerg-618	493	14	(	(	PUNCT
fuelectenerg-618	493	15	x1,x2	x1,x2	PROPN
fuelectenerg-618	493	16	)	)	PUNCT
fuelectenerg-618	493	17	∂x1∂x2	∂x1∂x2	NOUN
fuelectenerg-618	494	1	=	=	NOUN
fuelectenerg-618	494	2	1	1	X
fuelectenerg-618	494	3	.	.	PUNCT
fuelectenerg-618	495	1	(	(	PUNCT
fuelectenerg-618	495	2	39	39	NUM
fuelectenerg-618	495	3	)	)	PUNCT
fuelectenerg-618	495	4	using	use	VERB
fuelectenerg-618	495	5	(	(	PUNCT
fuelectenerg-618	495	6	37	37	NUM
fuelectenerg-618	495	7	)	)	PUNCT
fuelectenerg-618	495	8	we	we	PRON
fuelectenerg-618	495	9	get	get	VERB
fuelectenerg-618	495	10	the	the	DET
fuelectenerg-618	495	11	equivalent	equivalent	ADJ
fuelectenerg-618	495	12	bde	bde	NOUN
fuelectenerg-618	495	13	:	:	PUNCT
fuelectenerg-618	495	14	∂	∂	NUM
fuelectenerg-618	495	15	f	f	X
fuelectenerg-618	495	16	(	(	PUNCT
fuelectenerg-618	495	17	x1,x2	x1,x2	PROPN
fuelectenerg-618	495	18	)	)	PUNCT
fuelectenerg-618	496	1	∂x1	∂x1	PROPN
fuelectenerg-618	496	2	⊕	⊕	PROPN
fuelectenerg-618	496	3	∂	∂	NUM
fuelectenerg-618	496	4	f	f	PROPN
fuelectenerg-618	496	5	(	(	PUNCT
fuelectenerg-618	496	6	x1,x2	x1,x2	PROPN
fuelectenerg-618	496	7	)	)	PUNCT
fuelectenerg-618	496	8	∂x2	∂x2	PROPN
fuelectenerg-618	496	9	⊕	⊕	PROPN
fuelectenerg-618	496	10	∂	∂	NOUN
fuelectenerg-618	497	1	f	f	X
fuelectenerg-618	497	2	(	(	PUNCT
fuelectenerg-618	497	3	x1,x2	x1,x2	PROPN
fuelectenerg-618	497	4	)	)	PUNCT
fuelectenerg-618	497	5	∂	∂	NUM
fuelectenerg-618	497	6	(	(	PUNCT
fuelectenerg-618	497	7	x1,x2	x1,x2	PROPN
fuelectenerg-618	497	8	)	)	PUNCT
fuelectenerg-618	497	9	=	=	SYM
fuelectenerg-618	497	10	1	1	X
fuelectenerg-618	497	11	.	.	PUNCT
fuelectenerg-618	498	1	(	(	PUNCT
fuelectenerg-618	498	2	40	40	NUM
fuelectenerg-618	498	3	)	)	PUNCT
fuelectenerg-618	498	4	64	64	NUM
fuelectenerg-618	498	5	b.	b.	NOUN
fuelectenerg-618	498	6	steinbach	steinbach	PROPN
fuelectenerg-618	498	7	,	,	PUNCT
fuelectenerg-618	498	8	c.	c.	PROPN
fuelectenerg-618	498	9	posthoff	posthoff	PROPN
fuelectenerg-618	498	10	boolean	boolean	ADJ
fuelectenerg-618	498	11	differential	differential	ADJ
fuelectenerg-618	498	12	equations	equation	NOUN
fuelectenerg-618	498	13	–	–	PUNCT
fuelectenerg-618	498	14	a	a	DET
fuelectenerg-618	498	15	common	common	ADJ
fuelectenerg-618	498	16	model	model	NOUN
fuelectenerg-618	498	17	for	for	ADP
fuelectenerg-618	498	18	classes	class	NOUN
fuelectenerg-618	498	19	,	,	PUNCT
fuelectenerg-618	498	20	lattices	lattice	NOUN
fuelectenerg-618	498	21	...	...	PUNCT
fuelectenerg-618	498	22	65	65	NUM
fuelectenerg-618	498	23	114	114	NUM
fuelectenerg-618	498	24	b.	b.	NOUN
fuelectenerg-618	498	25	steinbach	steinbach	PROPN
fuelectenerg-618	498	26	and	and	CCONJ
fuelectenerg-618	498	27	c.	c.	PROPN
fuelectenerg-618	498	28	posthoff	posthoff	VERB
fuelectenerg-618	498	29	•	•	ADJ
fuelectenerg-618	498	30	conjunction	conjunction	NOUN
fuelectenerg-618	498	31	fo	fo	INTJ
fuelectenerg-618	498	32	=	=	SYM
fuelectenerg-618	498	33	f1	f1	NOUN
fuelectenerg-618	498	34	∧	∧	PROPN
fuelectenerg-618	498	35	f2	f2	PROPN
fuelectenerg-618	498	36	(	(	PUNCT
fuelectenerg-618	498	37	intersection	intersection	NOUN
fuelectenerg-618	498	38	):	):	PUNCT
fuelectenerg-618	499	1	isc	isc	PROPN
fuelectenerg-618	499	2	tni1	tni1	PROPN
fuelectenerg-618	499	3	tni2	tni2	PROPN
fuelectenerg-618	499	4	tno	tno	PROPN
fuelectenerg-618	499	5	•	•	NUM
fuelectenerg-618	499	6	disjunction	disjunction	NOUN
fuelectenerg-618	499	7	fo	fo	ADP
fuelectenerg-618	499	8	=	=	SYM
fuelectenerg-618	499	9	f1	f1	PROPN
fuelectenerg-618	499	10	∨	∨	NUM
fuelectenerg-618	499	11	f2	f2	PROPN
fuelectenerg-618	499	12	(	(	PUNCT
fuelectenerg-618	499	13	union	union	NOUN
fuelectenerg-618	499	14	):	):	PUNCT
fuelectenerg-618	499	15	uni	uni	PROPN
fuelectenerg-618	499	16	tni1	tni1	PROPN
fuelectenerg-618	499	17	tni2	tni2	PROPN
fuelectenerg-618	499	18	tno	tno	PROPN
fuelectenerg-618	499	19	•	•	ADJ
fuelectenerg-618	499	20	antivalence	antivalence	NOUN
fuelectenerg-618	499	21	fo	fo	ADP
fuelectenerg-618	499	22	=	=	SYM
fuelectenerg-618	499	23	f1	f1	PROPN
fuelectenerg-618	499	24	⊕	⊕	PROPN
fuelectenerg-618	499	25	f2	f2	PROPN
fuelectenerg-618	499	26	(	(	PUNCT
fuelectenerg-618	499	27	symmetric	symmetric	ADJ
fuelectenerg-618	499	28	difference	difference	NOUN
fuelectenerg-618	499	29	):	):	PUNCT
fuelectenerg-618	499	30	syd	syd	PROPN
fuelectenerg-618	499	31	tni1	tni1	PROPN
fuelectenerg-618	499	32	tni2	tni2	PROPN
fuelectenerg-618	499	33	tno	tno	PROPN
fuelectenerg-618	499	34	•	•	NOUN
fuelectenerg-618	499	35	equivalence	equivalence	NOUN
fuelectenerg-618	499	36	fo	fo	ADP
fuelectenerg-618	499	37	=	=	SYM
fuelectenerg-618	499	38	f1	f1	PROPN
fuelectenerg-618	499	39	⊙	⊙	PROPN
fuelectenerg-618	499	40	f2	f2	PROPN
fuelectenerg-618	499	41	(	(	PUNCT
fuelectenerg-618	499	42	complement	complement	NOUN
fuelectenerg-618	499	43	of	of	ADP
fuelectenerg-618	499	44	the	the	DET
fuelectenerg-618	499	45	symmetric	symmetric	ADJ
fuelectenerg-618	499	46	difference	difference	NOUN
fuelectenerg-618	499	47	):	):	PUNCT
fuelectenerg-618	499	48	csd	csd	PROPN
fuelectenerg-618	499	49	tni1	tni1	PROPN
fuelectenerg-618	499	50	tni2	tni2	PROPN
fuelectenerg-618	499	51	tno	tno	PROPN
fuelectenerg-618	499	52	an	an	DET
fuelectenerg-618	499	53	ordered	ordered	ADJ
fuelectenerg-618	499	54	set	set	NOUN
fuelectenerg-618	499	55	of	of	ADP
fuelectenerg-618	499	56	variables	variable	NOUN
fuelectenerg-618	499	57	can	can	AUX
fuelectenerg-618	499	58	be	be	AUX
fuelectenerg-618	499	59	defined	define	VERB
fuelectenerg-618	499	60	as	as	ADP
fuelectenerg-618	499	61	a	a	DET
fuelectenerg-618	499	62	xboole	xboole	NOUN
fuelectenerg-618	499	63	-	-	PUNCT
fuelectenerg-618	499	64	object	object	NOUN
fuelectenerg-618	499	65	called	call	VERB
fuelectenerg-618	499	66	variables	variable	NOUN
fuelectenerg-618	499	67	tuple	tuple	PROPN
fuelectenerg-618	499	68	(	(	PUNCT
fuelectenerg-618	499	69	vt	vt	PROPN
fuelectenerg-618	499	70	)	)	PUNCT
fuelectenerg-618	499	71	using	use	VERB
fuelectenerg-618	499	72	:	:	PUNCT
fuelectenerg-618	499	73	vtin	vtin	PROPN
fuelectenerg-618	499	74	sni	sni	PROPN
fuelectenerg-618	499	75	vtno	vtno	PROPN
fuelectenerg-618	499	76	followed	follow	VERB
fuelectenerg-618	499	77	by	by	ADP
fuelectenerg-618	499	78	the	the	DET
fuelectenerg-618	499	79	variable	variable	NOUN
fuelectenerg-618	499	80	in	in	ADP
fuelectenerg-618	499	81	the	the	DET
fuelectenerg-618	499	82	needed	need	VERB
fuelectenerg-618	499	83	order	order	NOUN
fuelectenerg-618	499	84	as	as	ADP
fuelectenerg-618	499	85	in	in	ADP
fuelectenerg-618	499	86	the	the	DET
fuelectenerg-618	499	87	case	case	NOUN
fuelectenerg-618	499	88	of	of	ADP
fuelectenerg-618	499	89	the	the	DET
fuelectenerg-618	499	90	command	command	NOUN
fuelectenerg-618	499	91	avar	avar	PROPN
fuelectenerg-618	499	92	.	.	PUNCT
fuelectenerg-618	500	1	two	two	NUM
fuelectenerg-618	500	2	such	such	ADJ
fuelectenerg-618	500	3	vts	vts	NOUN
fuelectenerg-618	500	4	define	define	NOUN
fuelectenerg-618	500	5	ordered	order	VERB
fuelectenerg-618	500	6	pairs	pair	NOUN
fuelectenerg-618	500	7	of	of	ADP
fuelectenerg-618	500	8	variables	variable	NOUN
fuelectenerg-618	500	9	which	which	PRON
fuelectenerg-618	500	10	can	can	AUX
fuelectenerg-618	500	11	be	be	AUX
fuelectenerg-618	500	12	changed	change	VERB
fuelectenerg-618	500	13	using	use	VERB
fuelectenerg-618	500	14	:	:	PUNCT
fuelectenerg-618	500	15	cco	cco	PROPN
fuelectenerg-618	500	16	tni	tni	PROPN
fuelectenerg-618	500	17	vtni1	vtni1	PROPN
fuelectenerg-618	500	18	vtni2	vtni2	PUNCT
fuelectenerg-618	501	1	tno	tno	NOUN
fuelectenerg-618	501	2	where	where	SCONJ
fuelectenerg-618	501	3	the	the	DET
fuelectenerg-618	501	4	exchange	exchange	NOUN
fuelectenerg-618	501	5	of	of	ADP
fuelectenerg-618	501	6	columns	column	NOUN
fuelectenerg-618	501	7	of	of	ADP
fuelectenerg-618	501	8	tni	tni	NOUN
fuelectenerg-618	501	9	is	be	AUX
fuelectenerg-618	501	10	realized	realize	VERB
fuelectenerg-618	501	11	for	for	ADP
fuelectenerg-618	501	12	all	all	DET
fuelectenerg-618	501	13	defined	define	VERB
fuelectenerg-618	501	14	pair	pair	NOUN
fuelectenerg-618	501	15	of	of	ADP
fuelectenerg-618	501	16	variables	variable	NOUN
fuelectenerg-618	501	17	.	.	PUNCT
fuelectenerg-618	502	1	alternatively	alternatively	ADV
fuelectenerg-618	502	2	the	the	DET
fuelectenerg-618	502	3	vts	vts	NOUN
fuelectenerg-618	502	4	can	can	AUX
fuelectenerg-618	502	5	be	be	AUX
fuelectenerg-618	502	6	directly	directly	ADV
fuelectenerg-618	502	7	specified	specify	VERB
fuelectenerg-618	502	8	within	within	ADP
fuelectenerg-618	502	9	a	a	DET
fuelectenerg-618	502	10	special	special	ADJ
fuelectenerg-618	502	11	xboolecommand	xboolecommand	NOUN
fuelectenerg-618	502	12	:	:	PUNCT
fuelectenerg-618	503	1	cco	cco	PROPN
fuelectenerg-618	503	2	tni	tni	NOUN
fuelectenerg-618	503	3	<	<	X
fuelectenerg-618	503	4	x1	x1	PROPN
fuelectenerg-618	503	5	x2	x2	PROPN
fuelectenerg-618	503	6	>	>	X
fuelectenerg-618	503	7	<	<	X
fuelectenerg-618	503	8	x8	x8	PROPN
fuelectenerg-618	503	9	x9	x9	PROPN
fuelectenerg-618	503	10	>	>	X
fuelectenerg-618	503	11	tno	tno	PROPN
fuelectenerg-618	503	12	which	which	PRON
fuelectenerg-618	503	13	exchanges	exchange	NOUN
fuelectenerg-618	503	14	,	,	PUNCT
fuelectenerg-618	503	15	e.g.	e.g.	ADV
fuelectenerg-618	503	16	,	,	PUNCT
fuelectenerg-618	503	17	column	column	NOUN
fuelectenerg-618	503	18	x1	x1	NUM
fuelectenerg-618	503	19	with	with	ADP
fuelectenerg-618	503	20	column	column	NOUN
fuelectenerg-618	503	21	x8	x8	PROPN
fuelectenerg-618	503	22	and	and	CCONJ
fuelectenerg-618	503	23	column	column	NOUN
fuelectenerg-618	503	24	x2	x2	PROPN
fuelectenerg-618	503	25	with	with	ADP
fuelectenerg-618	503	26	column	column	NOUN
fuelectenerg-618	503	27	x9	x9	PROPN
fuelectenerg-618	503	28	.	.	PUNCT
fuelectenerg-618	504	1	a	a	DET
fuelectenerg-618	504	2	single	single	ADJ
fuelectenerg-618	504	3	vt	vt	NOUN
fuelectenerg-618	504	4	is	be	AUX
fuelectenerg-618	504	5	used	use	VERB
fuelectenerg-618	504	6	to	to	PART
fuelectenerg-618	504	7	specify	specify	VERB
fuelectenerg-618	504	8	the	the	DET
fuelectenerg-618	504	9	variables	variable	NOUN
fuelectenerg-618	504	10	for	for	ADP
fuelectenerg-618	504	11	a	a	DET
fuelectenerg-618	504	12	vectorial	vectorial	ADJ
fuelectenerg-618	504	13	or	or	CCONJ
fuelectenerg-618	504	14	m	m	ADJ
fuelectenerg-618	504	15	-	-	ADJ
fuelectenerg-618	504	16	fold	fold	ADJ
fuelectenerg-618	504	17	derivative	derivative	ADJ
fuelectenerg-618	504	18	operation	operation	NOUN
fuelectenerg-618	504	19	;	;	PUNCT
fuelectenerg-618	504	20	e.g.	e.g.	ADV
fuelectenerg-618	504	21	:	:	PUNCT
fuelectenerg-618	504	22	maxk	maxk	NOUN
fuelectenerg-618	504	23	tni	tni	NOUN
fuelectenerg-618	504	24	vtni	vtni	NOUN
fuelectenerg-618	504	25	tno	tno	PROPN
fuelectenerg-618	504	26	calculates	calculate	VERB
fuelectenerg-618	504	27	the	the	DET
fuelectenerg-618	504	28	k	k	ADJ
fuelectenerg-618	504	29	-	-	ADJ
fuelectenerg-618	504	30	fold	fold	ADJ
fuelectenerg-618	504	31	maximum	maximum	NOUN
fuelectenerg-618	504	32	with	with	ADP
fuelectenerg-618	504	33	regard	regard	NOUN
fuelectenerg-618	504	34	to	to	ADP
fuelectenerg-618	504	35	all	all	DET
fuelectenerg-618	504	36	variables	variable	NOUN
fuelectenerg-618	504	37	specified	specify	VERB
fuelectenerg-618	504	38	in	in	ADP
fuelectenerg-618	504	39	vt	vt	PROPN
fuelectenerg-618	504	40	vtni	vtni	PROPN
fuelectenerg-618	504	41	and	and	CCONJ
fuelectenerg-618	504	42	maxk	maxk	PROPN
fuelectenerg-618	504	43	tni	tni	NOUN
fuelectenerg-618	504	44	<	<	X
fuelectenerg-618	504	45	xi	xi	X
fuelectenerg-618	504	46	x2	x2	PROPN
fuelectenerg-618	504	47	>	>	X
fuelectenerg-618	504	48	tno	tno	PROPN
fuelectenerg-618	504	49	calculates	calculate	VERB
fuelectenerg-618	504	50	the	the	DET
fuelectenerg-618	504	51	2	2	NUM
fuelectenerg-618	504	52	-	-	ADJ
fuelectenerg-618	504	53	fold	fold	ADJ
fuelectenerg-618	504	54	maximum	maximum	NOUN
fuelectenerg-618	504	55	with	with	ADP
fuelectenerg-618	504	56	regard	regard	NOUN
fuelectenerg-618	504	57	to	to	ADP
fuelectenerg-618	504	58	(	(	PUNCT
fuelectenerg-618	504	59	x1,x2	x1,x2	PROPN
fuelectenerg-618	504	60	)	)	PUNCT
fuelectenerg-618	504	61	.	.	PUNCT
fuelectenerg-618	505	1	example	example	NOUN
fuelectenerg-618	506	1	3	3	NUM
fuelectenerg-618	506	2	.	.	PUNCT
fuelectenerg-618	506	3	bent	bent	ADJ
fuelectenerg-618	506	4	functions	function	NOUN
fuelectenerg-618	506	5	[	[	X
fuelectenerg-618	506	6	7–9	7–9	X
fuelectenerg-618	506	7	]	]	X
fuelectenerg-618	506	8	are	be	AUX
fuelectenerg-618	506	9	the	the	DET
fuelectenerg-618	506	10	most	most	ADV
fuelectenerg-618	506	11	non	non	ADJ
fuelectenerg-618	506	12	-	-	ADJ
fuelectenerg-618	506	13	linear	linear	ADJ
fuelectenerg-618	506	14	functions	function	NOUN
fuelectenerg-618	506	15	which	which	PRON
fuelectenerg-618	506	16	are	be	AUX
fuelectenerg-618	506	17	needed	need	VERB
fuelectenerg-618	506	18	in	in	ADP
fuelectenerg-618	506	19	cryptography	cryptography	NOUN
fuelectenerg-618	506	20	.	.	PUNCT
fuelectenerg-618	507	1	the	the	DET
fuelectenerg-618	507	2	simplest	simple	ADJ
fuelectenerg-618	507	3	bent	bent	ADJ
fuelectenerg-618	507	4	functions	function	NOUN
fuelectenerg-618	507	5	are	be	AUX
fuelectenerg-618	507	6	specified	specify	VERB
fuelectenerg-618	507	7	by	by	ADP
fuelectenerg-618	507	8	the	the	DET
fuelectenerg-618	507	9	bde	bde	PROPN
fuelectenerg-618	507	10	:	:	PUNCT
fuelectenerg-618	507	11	∂	∂	NUM
fuelectenerg-618	507	12	2	2	NUM
fuelectenerg-618	507	13	f	f	NOUN
fuelectenerg-618	507	14	(	(	PUNCT
fuelectenerg-618	507	15	x1,x2	x1,x2	PROPN
fuelectenerg-618	507	16	)	)	PUNCT
fuelectenerg-618	507	17	∂x1∂x2	∂x1∂x2	NOUN
fuelectenerg-618	508	1	=	=	NOUN
fuelectenerg-618	508	2	1	1	X
fuelectenerg-618	508	3	.	.	PUNCT
fuelectenerg-618	509	1	(	(	PUNCT
fuelectenerg-618	509	2	39	39	NUM
fuelectenerg-618	509	3	)	)	PUNCT
fuelectenerg-618	509	4	using	use	VERB
fuelectenerg-618	509	5	(	(	PUNCT
fuelectenerg-618	509	6	37	37	NUM
fuelectenerg-618	509	7	)	)	PUNCT
fuelectenerg-618	509	8	we	we	PRON
fuelectenerg-618	509	9	get	get	VERB
fuelectenerg-618	509	10	the	the	DET
fuelectenerg-618	509	11	equivalent	equivalent	ADJ
fuelectenerg-618	509	12	bde	bde	NOUN
fuelectenerg-618	509	13	:	:	PUNCT
fuelectenerg-618	509	14	∂	∂	NUM
fuelectenerg-618	509	15	f	f	X
fuelectenerg-618	509	16	(	(	PUNCT
fuelectenerg-618	509	17	x1,x2	x1,x2	PROPN
fuelectenerg-618	509	18	)	)	PUNCT
fuelectenerg-618	510	1	∂x1	∂x1	PROPN
fuelectenerg-618	510	2	⊕	⊕	PROPN
fuelectenerg-618	510	3	∂	∂	NUM
fuelectenerg-618	510	4	f	f	PROPN
fuelectenerg-618	510	5	(	(	PUNCT
fuelectenerg-618	510	6	x1,x2	x1,x2	PROPN
fuelectenerg-618	510	7	)	)	PUNCT
fuelectenerg-618	510	8	∂x2	∂x2	PROPN
fuelectenerg-618	510	9	⊕	⊕	PROPN
fuelectenerg-618	510	10	∂	∂	NOUN
fuelectenerg-618	511	1	f	f	X
fuelectenerg-618	511	2	(	(	PUNCT
fuelectenerg-618	511	3	x1,x2	x1,x2	PROPN
fuelectenerg-618	511	4	)	)	PUNCT
fuelectenerg-618	511	5	∂	∂	NUM
fuelectenerg-618	511	6	(	(	PUNCT
fuelectenerg-618	511	7	x1,x2	x1,x2	PROPN
fuelectenerg-618	511	8	)	)	PUNCT
fuelectenerg-618	511	9	=	=	SYM
fuelectenerg-618	511	10	1	1	X
fuelectenerg-618	511	11	.	.	PUNCT
fuelectenerg-618	512	1	(	(	PUNCT
fuelectenerg-618	512	2	40	40	NUM
fuelectenerg-618	512	3	)	)	PUNCT
fuelectenerg-618	512	4	boolean	boolean	ADJ
fuelectenerg-618	512	5	differential	differential	NOUN
fuelectenerg-618	512	6	equations	equation	NOUN
fuelectenerg-618	512	7	a	a	DET
fuelectenerg-618	512	8	common	common	ADJ
fuelectenerg-618	512	9	model	model	NOUN
fuelectenerg-618	512	10	for	for	ADP
fuelectenerg-618	512	11	classes	class	NOUN
fuelectenerg-618	512	12	,	,	PUNCT
fuelectenerg-618	512	13	lattices	lattice	NOUN
fuelectenerg-618	512	14	,	,	PUNCT
fuelectenerg-618	512	15	...	...	PUNCT
fuelectenerg-618	512	16	115	115	NUM
fuelectenerg-618	513	1	this	this	DET
fuelectenerg-618	513	2	bde	bde	PROPN
fuelectenerg-618	513	3	contains	contain	VERB
fuelectenerg-618	513	4	two	two	NUM
fuelectenerg-618	513	5	simple	simple	ADJ
fuelectenerg-618	513	6	and	and	CCONJ
fuelectenerg-618	513	7	and	and	CCONJ
fuelectenerg-618	513	8	one	one	NUM
fuelectenerg-618	513	9	vectorial	vectorial	ADJ
fuelectenerg-618	513	10	derivative	derivative	NOUN
fuelectenerg-618	513	11	.	.	PUNCT
fuelectenerg-618	514	1	hence	hence	ADV
fuelectenerg-618	514	2	,	,	PUNCT
fuelectenerg-618	514	3	it	it	PRON
fuelectenerg-618	514	4	can	can	AUX
fuelectenerg-618	514	5	be	be	AUX
fuelectenerg-618	514	6	solved	solve	VERB
fuelectenerg-618	514	7	using	use	VERB
fuelectenerg-618	514	8	algorithm	algorithm	NOUN
fuelectenerg-618	514	9	1	1	NUM
fuelectenerg-618	514	10	.	.	PUNCT
fuelectenerg-618	515	1	the	the	DET
fuelectenerg-618	515	2	associated	associated	ADJ
fuelectenerg-618	515	3	boolean	boolean	ADJ
fuelectenerg-618	515	4	equation	equation	NOUN
fuelectenerg-618	515	5	of	of	ADP
fuelectenerg-618	515	6	(	(	PUNCT
fuelectenerg-618	515	7	40	40	NUM
fuelectenerg-618	515	8	)	)	PUNCT
fuelectenerg-618	515	9	is	be	AUX
fuelectenerg-618	515	10	u1	u1	NOUN
fuelectenerg-618	515	11	⊕u2	⊕u2	X
fuelectenerg-618	515	12	⊕u3	⊕u3	PROPN
fuelectenerg-618	515	13	=	=	SYM
fuelectenerg-618	515	14	1	1	X
fuelectenerg-618	515	15	.	.	PUNCT
fuelectenerg-618	516	1	(	(	PUNCT
fuelectenerg-618	516	2	41	41	NUM
fuelectenerg-618	516	3	)	)	PUNCT
fuelectenerg-618	516	4	1	1	NUM
fuelectenerg-618	516	5	s	s	NOUN
fuelectenerg-618	516	6	p	p	NOUN
fuelectenerg-618	516	7	a	a	PRON
fuelectenerg-618	516	8	c	c	NOUN
fuelectenerg-618	516	9	e	e	NOUN
fuelectenerg-618	516	10	32	32	NUM
fuelectenerg-618	516	11	1	1	NUM
fuelectenerg-618	516	12	2	2	NUM
fuelectenerg-618	516	13	a	a	DET
fuelectenerg-618	516	14	v	v	NOUN
fuelectenerg-618	516	15	a	a	DET
fuelectenerg-618	516	16	r	r	NOUN
fuelectenerg-618	516	17	1	1	NUM
fuelectenerg-618	516	18	3	3	NUM
fuelectenerg-618	516	19	u0	u0	ADJ
fuelectenerg-618	516	20	u1	u1	NOUN
fuelectenerg-618	516	21	u2	u2	PROPN
fuelectenerg-618	516	22	u3	u3	PROPN
fuelectenerg-618	516	23	v0	v0	NOUN
fuelectenerg-618	516	24	v1	v1	PROPN
fuelectenerg-618	516	25	v2	v2	PROPN
fuelectenerg-618	516	26	v3	v3	PROPN
fuelectenerg-618	516	27	.	.	PUNCT
fuelectenerg-618	517	1	4	4	NUM
fuelectenerg-618	517	2	sbe	sbe	VERB
fuelectenerg-618	517	3	1	1	NUM
fuelectenerg-618	517	4	1	1	NUM
fuelectenerg-618	517	5	5	5	NUM
fuelectenerg-618	517	6	u1#u2#u3	u1#u2#u3	PROPN
fuelectenerg-618	517	7	=	=	NOUN
fuelectenerg-618	517	8	1	1	NUM
fuelectenerg-618	517	9	.	.	PUNCT
fuelectenerg-618	517	10	6	6	NUM
fuelectenerg-618	517	11	sbe	sbe	NOUN
fuelectenerg-618	517	12	1	1	NUM
fuelectenerg-618	517	13	2	2	NUM
fuelectenerg-618	517	14	7	7	NUM
fuelectenerg-618	517	15	v0	v0	NOUN
fuelectenerg-618	517	16	=	=	SYM
fuelectenerg-618	517	17	u0	u0	ADJ
fuelectenerg-618	517	18	,	,	PUNCT
fuelectenerg-618	517	19	8	8	NUM
fuelectenerg-618	517	20	v1	v1	NOUN
fuelectenerg-618	517	21	=	=	NOUN
fuelectenerg-618	517	22	u0#u1	u0#u1	ADJ
fuelectenerg-618	517	23	,	,	PUNCT
fuelectenerg-618	517	24	9	9	NUM
fuelectenerg-618	517	25	v2	v2	NOUN
fuelectenerg-618	517	26	=	=	SYM
fuelectenerg-618	517	27	u0#u2	u0#u2	ADJ
fuelectenerg-618	517	28	,	,	PUNCT
fuelectenerg-618	517	29	10	10	NUM
fuelectenerg-618	517	30	v3	v3	NOUN
fuelectenerg-618	517	31	=	=	NOUN
fuelectenerg-618	517	32	u0#u3	u0#u3	NUM
fuelectenerg-618	517	33	.	.	PUNCT
fuelectenerg-618	518	1	11	11	NUM
fuelectenerg-618	519	1	i	i	PRON
fuelectenerg-618	519	2	s	s	VERB
fuelectenerg-618	519	3	c	c	NOUN
fuelectenerg-618	519	4	1	1	NUM
fuelectenerg-618	519	5	2	2	NUM
fuelectenerg-618	519	6	3	3	NUM
fuelectenerg-618	519	7	12	12	NUM
fuelectenerg-618	519	8	v	v	NOUN
fuelectenerg-618	519	9	t	t	NOUN
fuelectenerg-618	520	1	i	i	PRON
fuelectenerg-618	520	2	n	n	PROPN
fuelectenerg-618	520	3	1	1	NUM
fuelectenerg-618	520	4	4	4	NUM
fuelectenerg-618	520	5	13	13	NUM
fuelectenerg-618	520	6	u0	u0	ADJ
fuelectenerg-618	520	7	u1	u1	NOUN
fuelectenerg-618	520	8	u2	u2	NOUN
fuelectenerg-618	520	9	u3	u3	PROPN
fuelectenerg-618	520	10	.	.	PUNCT
fuelectenerg-618	521	1	14	14	NUM
fuelectenerg-618	521	2	maxk	maxk	NOUN
fuelectenerg-618	521	3	3	3	NUM
fuelectenerg-618	521	4	4	4	NUM
fuelectenerg-618	521	5	5	5	NUM
fuelectenerg-618	521	6	15	15	NUM
fuelectenerg-618	521	7	v	v	NOUN
fuelectenerg-618	521	8	t	t	NOUN
fuelectenerg-618	522	1	i	i	PRON
fuelectenerg-618	523	1	n	n	PROPN
fuelectenerg-618	524	1	1	1	NUM
fuelectenerg-618	524	2	6	6	NUM
fuelectenerg-618	524	3	16	16	NUM
fuelectenerg-618	524	4	v0	v0	NOUN
fuelectenerg-618	524	5	v2	v2	NOUN
fuelectenerg-618	524	6	.	.	PUNCT
fuelectenerg-618	525	1	17	17	NUM
fuelectenerg-618	525	2	v	v	NUM
fuelectenerg-618	525	3	t	t	NOUN
fuelectenerg-618	526	1	i	i	PRON
fuelectenerg-618	526	2	n	n	PROPN
fuelectenerg-618	526	3	1	1	NUM
fuelectenerg-618	526	4	7	7	NUM
fuelectenerg-618	526	5	18	18	NUM
fuelectenerg-618	526	6	v1	v1	NOUN
fuelectenerg-618	526	7	v3	v3	PROPN
fuelectenerg-618	526	8	.	.	PUNCT
fuelectenerg-618	527	1	19	19	NUM
fuelectenerg-618	527	2	cco	cco	PROPN
fuelectenerg-618	527	3	5	5	NUM
fuelectenerg-618	527	4	6	6	NUM
fuelectenerg-618	527	5	7	7	NUM
fuelectenerg-618	527	6	8	8	NUM
fuelectenerg-618	527	7	20	20	NUM
fuelectenerg-618	527	8	i	i	PRON
fuelectenerg-618	527	9	s	s	VERB
fuelectenerg-618	527	10	c	c	NOUN
fuelectenerg-618	527	11	5	5	NUM
fuelectenerg-618	527	12	8	8	NUM
fuelectenerg-618	527	13	9	9	NUM
fuelectenerg-618	527	14	21	21	NUM
fuelectenerg-618	527	15	v	v	NOUN
fuelectenerg-618	527	16	t	t	NOUN
fuelectenerg-618	528	1	i	i	PRON
fuelectenerg-618	528	2	n	n	PROPN
fuelectenerg-618	528	3	1	1	NUM
fuelectenerg-618	528	4	10	10	NUM
fuelectenerg-618	528	5	22	22	NUM
fuelectenerg-618	528	6	v0	v0	NOUN
fuelectenerg-618	528	7	v1	v1	NOUN
fuelectenerg-618	528	8	.	.	PUNCT
fuelectenerg-618	529	1	23	23	NUM
fuelectenerg-618	529	2	v	v	NUM
fuelectenerg-618	529	3	t	t	X
fuelectenerg-618	530	1	i	i	PRON
fuelectenerg-618	530	2	n	n	NOUN
fuelectenerg-618	530	3	1	1	NUM
fuelectenerg-618	530	4	11	11	NUM
fuelectenerg-618	530	5	24	24	NUM
fuelectenerg-618	530	6	v2	v2	PROPN
fuelectenerg-618	530	7	v3	v3	PROPN
fuelectenerg-618	530	8	.	.	PUNCT
fuelectenerg-618	531	1	25	25	NUM
fuelectenerg-618	531	2	cco	cco	PROPN
fuelectenerg-618	531	3	9	9	NUM
fuelectenerg-618	531	4	10	10	NUM
fuelectenerg-618	531	5	11	11	NUM
fuelectenerg-618	531	6	12	12	NUM
fuelectenerg-618	531	7	26	26	NUM
fuelectenerg-618	532	1	i	i	PRON
fuelectenerg-618	532	2	s	s	NOUN
fuelectenerg-618	532	3	c	c	NOUN
fuelectenerg-618	532	4	9	9	NUM
fuelectenerg-618	532	5	12	12	NUM
fuelectenerg-618	532	6	13	13	NUM
fuelectenerg-618	532	7	fig	fig	NOUN
fuelectenerg-618	532	8	.	.	PUNCT
fuelectenerg-618	533	1	4	4	X
fuelectenerg-618	533	2	.	.	X
fuelectenerg-618	533	3	listing	list	VERB
fuelectenerg-618	533	4	of	of	ADP
fuelectenerg-618	533	5	the	the	DET
fuelectenerg-618	533	6	prp	prp	NOUN
fuelectenerg-618	533	7	to	to	PART
fuelectenerg-618	533	8	solve	solve	VERB
fuelectenerg-618	533	9	the	the	DET
fuelectenerg-618	533	10	bde	bde	PROPN
fuelectenerg-618	533	11	(	(	PUNCT
fuelectenerg-618	533	12	40	40	NUM
fuelectenerg-618	533	13	)	)	PUNCT
fuelectenerg-618	533	14	.	.	PUNCT
fuelectenerg-618	534	1	figure	figure	VERB
fuelectenerg-618	534	2	4	4	NUM
fuelectenerg-618	534	3	show	show	VERB
fuelectenerg-618	534	4	the	the	DET
fuelectenerg-618	534	5	prp	prp	NOUN
fuelectenerg-618	534	6	that	that	PRON
fuelectenerg-618	534	7	can	can	AUX
fuelectenerg-618	534	8	be	be	AUX
fuelectenerg-618	534	9	used	use	VERB
fuelectenerg-618	534	10	by	by	ADP
fuelectenerg-618	534	11	the	the	DET
fuelectenerg-618	534	12	xboole	xboole	NOUN
fuelectenerg-618	534	13	-	-	PUNCT
fuelectenerg-618	534	14	monitor	monitor	NOUN
fuelectenerg-618	534	15	to	to	PART
fuelectenerg-618	534	16	solve	solve	VERB
fuelectenerg-618	534	17	bde	bde	PROPN
fuelectenerg-618	534	18	(	(	PUNCT
fuelectenerg-618	534	19	40	40	NUM
fuelectenerg-618	534	20	)	)	PUNCT
fuelectenerg-618	534	21	.	.	PUNCT
fuelectenerg-618	535	1	the	the	DET
fuelectenerg-618	535	2	solution	solution	NOUN
fuelectenerg-618	535	3	of	of	ADP
fuelectenerg-618	535	4	(	(	PUNCT
fuelectenerg-618	535	5	41	41	NUM
fuelectenerg-618	535	6	)	)	PUNCT
fuelectenerg-618	535	7	is	be	AUX
fuelectenerg-618	535	8	stored	store	VERB
fuelectenerg-618	535	9	as	as	ADP
fuelectenerg-618	535	10	xboole	xboole	NOUN
fuelectenerg-618	535	11	-	-	PUNCT
fuelectenerg-618	535	12	object	object	NOUN
fuelectenerg-618	535	13	1	1	NUM
fuelectenerg-618	535	14	.	.	PUNCT
fuelectenerg-618	536	1	the	the	DET
fuelectenerg-618	536	2	lines	line	NOUN
fuelectenerg-618	536	3	6	6	NUM
fuelectenerg-618	536	4	to	to	PART
fuelectenerg-618	536	5	14	14	NUM
fuelectenerg-618	536	6	in	in	ADP
fuelectenerg-618	536	7	figure	figure	NOUN
fuelectenerg-618	536	8	4	4	NUM
fuelectenerg-618	536	9	realize	realize	VERB
fuelectenerg-618	536	10	the	the	DET
fuelectenerg-618	536	11	d2v	d2v	NOUN
fuelectenerg-618	536	12	-	-	NOUN
fuelectenerg-618	536	13	transformation	transformation	NOUN
fuelectenerg-618	536	14	of	of	ADP
fuelectenerg-618	536	15	line	line	NOUN
fuelectenerg-618	536	16	2	2	NUM
fuelectenerg-618	536	17	of	of	ADP
fuelectenerg-618	536	18	algorithm	algorithm	NOUN
fuelectenerg-618	536	19	1	1	NUM
fuelectenerg-618	536	20	so	so	SCONJ
fuelectenerg-618	536	21	that	that	SCONJ
fuelectenerg-618	536	22	the	the	DET
fuelectenerg-618	536	23	xboole	xboole	NOUN
fuelectenerg-618	536	24	-	-	PUNCT
fuelectenerg-618	536	25	object	object	NOUN
fuelectenerg-618	536	26	5	5	NUM
fuelectenerg-618	536	27	stores	store	NOUN
fuelectenerg-618	536	28	sls′(v	sls′(v	VERB
fuelectenerg-618	536	29	)	)	PUNCT
fuelectenerg-618	536	30	.	.	PUNCT
fuelectenerg-618	537	1	the	the	DET
fuelectenerg-618	537	2	first	first	ADJ
fuelectenerg-618	537	3	sweep	sweep	NOUN
fuelectenerg-618	537	4	of	of	ADP
fuelectenerg-618	537	5	the	the	DET
fuelectenerg-618	537	6	loop	loop	NOUN
fuelectenerg-618	537	7	in	in	ADP
fuelectenerg-618	537	8	lines	line	NOUN
fuelectenerg-618	537	9	3	3	NUM
fuelectenerg-618	537	10	to	to	PART
fuelectenerg-618	537	11	6	6	NUM
fuelectenerg-618	537	12	of	of	ADP
fuelectenerg-618	537	13	algorithm	algorithm	NOUN
fuelectenerg-618	537	14	1	1	NUM
fuelectenerg-618	537	15	is	be	AUX
fuelectenerg-618	537	16	executed	execute	VERB
fuelectenerg-618	537	17	in	in	ADP
fuelectenerg-618	537	18	lines	line	NOUN
fuelectenerg-618	537	19	15	15	NUM
fuelectenerg-618	537	20	to	to	PART
fuelectenerg-618	537	21	20	20	NUM
fuelectenerg-618	537	22	and	and	CCONJ
fuelectenerg-618	537	23	the	the	DET
fuelectenerg-618	537	24	second	second	ADJ
fuelectenerg-618	537	25	sweep	sweep	NOUN
fuelectenerg-618	537	26	of	of	ADP
fuelectenerg-618	537	27	this	this	DET
fuelectenerg-618	537	28	loop	loop	NOUN
fuelectenerg-618	537	29	leads	lead	VERB
fuelectenerg-618	537	30	to	to	ADP
fuelectenerg-618	537	31	the	the	DET
fuelectenerg-618	537	32	xboole	xboole	NOUN
fuelectenerg-618	537	33	-	-	PUNCT
fuelectenerg-618	537	34	object	object	NOUN
fuelectenerg-618	537	35	13	13	NUM
fuelectenerg-618	537	36	as	as	ADP
fuelectenerg-618	537	37	final	final	ADJ
fuelectenerg-618	537	38	result	result	NOUN
fuelectenerg-618	537	39	in	in	ADP
fuelectenerg-618	537	40	lines	line	NOUN
fuelectenerg-618	537	41	21	21	NUM
fuelectenerg-618	537	42	to	to	PART
fuelectenerg-618	537	43	26	26	NUM
fuelectenerg-618	537	44	of	of	ADP
fuelectenerg-618	537	45	figure	figure	NOUN
fuelectenerg-618	537	46	4	4	NUM
fuelectenerg-618	537	47	.	.	PUNCT
fuelectenerg-618	537	48	table	table	NOUN
fuelectenerg-618	537	49	4	4	NUM
fuelectenerg-618	537	50	shows	show	NOUN
fuelectenerg-618	537	51	in	in	ADP
fuelectenerg-618	537	52	the	the	DET
fuelectenerg-618	537	53	left	left	ADJ
fuelectenerg-618	537	54	part	part	NOUN
fuelectenerg-618	537	55	the	the	DET
fuelectenerg-618	537	56	solution	solution	NOUN
fuelectenerg-618	537	57	tvl	tvl	PROPN
fuelectenerg-618	537	58	of	of	ADP
fuelectenerg-618	537	59	bde	bde	PROPN
fuelectenerg-618	537	60	(	(	PUNCT
fuelectenerg-618	537	61	40	40	NUM
fuelectenerg-618	537	62	)	)	PUNCT
fuelectenerg-618	537	63	.	.	PUNCT
fuelectenerg-618	538	1	the	the	DET
fuelectenerg-618	538	2	eight	eight	NUM
fuelectenerg-618	538	3	v	v	NOUN
fuelectenerg-618	538	4	-	-	PUNCT
fuelectenerg-618	538	5	vectors	vector	NOUN
fuelectenerg-618	538	6	describe	describe	VERB
fuelectenerg-618	538	7	two	two	NUM
fuelectenerg-618	538	8	classes	class	NOUN
fuelectenerg-618	538	9	of	of	ADP
fuelectenerg-618	538	10	boolean	boolean	ADJ
fuelectenerg-618	538	11	functions	function	NOUN
fuelectenerg-618	538	12	.	.	PUNCT
fuelectenerg-618	539	1	the	the	DET
fuelectenerg-618	539	2	expressions	expression	NOUN
fuelectenerg-618	539	3	of	of	ADP
fuelectenerg-618	539	4	these	these	DET
fuelectenerg-618	539	5	functions	function	NOUN
fuelectenerg-618	539	6	are	be	AUX
fuelectenerg-618	539	7	built	build	VERB
fuelectenerg-618	539	8	by	by	ADP
fuelectenerg-618	539	9	the	the	DET
fuelectenerg-618	539	10	substitution	substitution	NOUN
fuelectenerg-618	539	11	of	of	ADP
fuelectenerg-618	539	12	the	the	DET
fuelectenerg-618	539	13	v	v	NOUN
fuelectenerg-618	539	14	-	-	PUNCT
fuelectenerg-618	539	15	vectors	vector	NOUN
fuelectenerg-618	539	16	of	of	ADP
fuelectenerg-618	539	17	the	the	DET
fuelectenerg-618	539	18	solution	solution	NOUN
fuelectenerg-618	539	19	into	into	ADP
fuelectenerg-618	539	20	(	(	PUNCT
fuelectenerg-618	539	21	28	28	NUM
fuelectenerg-618	539	22	)	)	PUNCT
fuelectenerg-618	539	23	.	.	PUNCT
fuelectenerg-618	540	1	table	table	NOUN
fuelectenerg-618	540	2	4	4	NUM
fuelectenerg-618	540	3	shows	show	VERB
fuelectenerg-618	540	4	these	these	DET
fuelectenerg-618	540	5	functions	function	NOUN
fuelectenerg-618	540	6	in	in	ADP
fuelectenerg-618	540	7	the	the	DET
fuelectenerg-618	540	8	right	right	ADJ
fuelectenerg-618	540	9	part	part	NOUN
fuelectenerg-618	540	10	associated	associate	VERB
fuelectenerg-618	540	11	to	to	ADP
fuelectenerg-618	540	12	the	the	DET
fuelectenerg-618	540	13	classes	class	NOUN
fuelectenerg-618	540	14	1	1	NUM
fuelectenerg-618	540	15	and	and	CCONJ
fuelectenerg-618	540	16	2	2	NUM
fuelectenerg-618	540	17	.	.	NOUN
fuelectenerg-618	540	18	4	4	NUM
fuelectenerg-618	540	19	boolean	boolean	ADJ
fuelectenerg-618	540	20	differential	differential	ADJ
fuelectenerg-618	540	21	equations	equation	NOUN
fuelectenerg-618	540	22	for	for	ADP
fuelectenerg-618	540	23	lattices	lattice	NOUN
fuelectenerg-618	540	24	of	of	ADP
fuelectenerg-618	540	25	boolean	boolean	ADJ
fuelectenerg-618	540	26	functions	function	NOUN
fuelectenerg-618	540	27	4.1	4.1	NUM
fuelectenerg-618	540	28	lattices	lattice	NOUN
fuelectenerg-618	540	29	of	of	ADP
fuelectenerg-618	540	30	incompletely	incompletely	ADV
fuelectenerg-618	540	31	specified	specify	VERB
fuelectenerg-618	540	32	boolean	boolean	ADJ
fuelectenerg-618	540	33	functions	function	NOUN
fuelectenerg-618	540	34	a	a	DET
fuelectenerg-618	540	35	lattice	lattice	NOUN
fuelectenerg-618	540	36	of	of	ADP
fuelectenerg-618	540	37	boolean	boolean	ADJ
fuelectenerg-618	540	38	function	function	NOUN
fuelectenerg-618	540	39	is	be	AUX
fuelectenerg-618	540	40	a	a	DET
fuelectenerg-618	540	41	special	special	ADJ
fuelectenerg-618	540	42	set	set	NOUN
fuelectenerg-618	540	43	of	of	ADP
fuelectenerg-618	540	44	functions	function	NOUN
fuelectenerg-618	540	45	that	that	PRON
fuelectenerg-618	540	46	has	have	VERB
fuelectenerg-618	540	47	the	the	DET
fuelectenerg-618	540	48	following	follow	VERB
fuelectenerg-618	540	49	properties	property	NOUN
fuelectenerg-618	540	50	:	:	PUNCT
fuelectenerg-618	540	51	•	•	ADP
fuelectenerg-618	540	52	if	if	SCONJ
fuelectenerg-618	540	53	both	both	PRON
fuelectenerg-618	540	54	f1(x	f1(x	NUM
fuelectenerg-618	540	55	)	)	PUNCT
fuelectenerg-618	540	56	and	and	CCONJ
fuelectenerg-618	540	57	f2(x	f2(x	NUM
fuelectenerg-618	540	58	)	)	PUNCT
fuelectenerg-618	540	59	belong	belong	VERB
fuelectenerg-618	540	60	to	to	ADP
fuelectenerg-618	540	61	the	the	DET
fuelectenerg-618	540	62	lattice	lattice	NOUN
fuelectenerg-618	541	1	then	then	ADV
fuelectenerg-618	541	2	f	f	PROPN
fuelectenerg-618	541	3	(	(	PUNCT
fuelectenerg-618	541	4	x	x	X
fuelectenerg-618	541	5	)	)	PUNCT
fuelectenerg-618	541	6	=	=	NOUN
fuelectenerg-618	541	7	f1(x)∧	f1(x)∧	NOUN
fuelectenerg-618	541	8	f2(x	f2(x	NOUN
fuelectenerg-618	541	9	)	)	PUNCT
fuelectenerg-618	541	10	belongs	belong	VERB
fuelectenerg-618	541	11	also	also	ADV
fuelectenerg-618	541	12	to	to	ADP
fuelectenerg-618	541	13	this	this	DET
fuelectenerg-618	541	14	lattice	lattice	NOUN
fuelectenerg-618	541	15	of	of	ADP
fuelectenerg-618	541	16	boolean	boolean	ADJ
fuelectenerg-618	541	17	functions	function	NOUN
fuelectenerg-618	541	18	,	,	PUNCT
fuelectenerg-618	541	19	and	and	CCONJ
fuelectenerg-618	541	20	64	64	NUM
fuelectenerg-618	541	21	b.	b.	NOUN
fuelectenerg-618	541	22	steinbach	steinbach	PROPN
fuelectenerg-618	541	23	,	,	PUNCT
fuelectenerg-618	541	24	c.	c.	PROPN
fuelectenerg-618	541	25	posthoff	posthoff	PROPN
fuelectenerg-618	541	26	boolean	boolean	ADJ
fuelectenerg-618	541	27	differential	differential	ADJ
fuelectenerg-618	541	28	equations	equation	NOUN
fuelectenerg-618	541	29	–	–	PUNCT
fuelectenerg-618	541	30	a	a	DET
fuelectenerg-618	541	31	common	common	ADJ
fuelectenerg-618	541	32	model	model	NOUN
fuelectenerg-618	541	33	for	for	ADP
fuelectenerg-618	541	34	classes	class	NOUN
fuelectenerg-618	541	35	,	,	PUNCT
fuelectenerg-618	541	36	lattices	lattice	NOUN
fuelectenerg-618	541	37	...	...	PUNCT
fuelectenerg-618	541	38	65	65	NUM
fuelectenerg-618	541	39	116	116	NUM
fuelectenerg-618	541	40	b.	b.	PROPN
fuelectenerg-618	541	41	steinbach	steinbach	PROPN
fuelectenerg-618	541	42	and	and	CCONJ
fuelectenerg-618	541	43	c.	c.	PROPN
fuelectenerg-618	541	44	posthoff	posthoff	PROPN
fuelectenerg-618	541	45	tab	tab	PROPN
fuelectenerg-618	541	46	.	.	PUNCT
fuelectenerg-618	542	1	4	4	NUM
fuelectenerg-618	542	2	.	.	NOUN
fuelectenerg-618	542	3	solution	solution	NOUN
fuelectenerg-618	542	4	functions	function	NOUN
fuelectenerg-618	542	5	of	of	ADP
fuelectenerg-618	542	6	bde	bde	PROPN
fuelectenerg-618	542	7	(	(	PUNCT
fuelectenerg-618	542	8	40	40	NUM
fuelectenerg-618	542	9	)	)	PUNCT
fuelectenerg-618	542	10	v0	v0	NOUN
fuelectenerg-618	542	11	v1	v1	NOUN
fuelectenerg-618	542	12	v2	v2	PROPN
fuelectenerg-618	542	13	v3	v3	PROPN
fuelectenerg-618	542	14	class	class	NOUN
fuelectenerg-618	542	15	1	1	NUM
fuelectenerg-618	542	16	class	class	NOUN
fuelectenerg-618	542	17	2	2	NUM
fuelectenerg-618	542	18	0	0	NUM
fuelectenerg-618	542	19	1	1	NUM
fuelectenerg-618	542	20	1	1	NUM
fuelectenerg-618	542	21	1	1	NUM
fuelectenerg-618	542	22	x1	x1	NUM
fuelectenerg-618	542	23	∨	∨	NUM
fuelectenerg-618	542	24	x2	x2	PROPN
fuelectenerg-618	543	1	1	1	NUM
fuelectenerg-618	543	2	0	0	NUM
fuelectenerg-618	543	3	0	0	NUM
fuelectenerg-618	543	4	0	0	NUM
fuelectenerg-618	544	1	x1	x1	NUM
fuelectenerg-618	544	2	∧	∧	NOUN
fuelectenerg-618	544	3	x2	x2	NOUN
fuelectenerg-618	544	4	1	1	NUM
fuelectenerg-618	544	5	0	0	NUM
fuelectenerg-618	544	6	1	1	NUM
fuelectenerg-618	544	7	1	1	NUM
fuelectenerg-618	544	8	x1	x1	NUM
fuelectenerg-618	544	9	∨	∨	NUM
fuelectenerg-618	544	10	x2	x2	NOUN
fuelectenerg-618	544	11	0	0	NUM
fuelectenerg-618	544	12	1	1	NUM
fuelectenerg-618	544	13	0	0	NUM
fuelectenerg-618	544	14	0	0	NUM
fuelectenerg-618	545	1	x1	x1	NUM
fuelectenerg-618	545	2	∧	∧	PROPN
fuelectenerg-618	545	3	x2	x2	NOUN
fuelectenerg-618	545	4	0	0	NUM
fuelectenerg-618	545	5	0	0	NUM
fuelectenerg-618	545	6	0	0	NUM
fuelectenerg-618	545	7	1	1	NUM
fuelectenerg-618	545	8	x1	x1	NOUN
fuelectenerg-618	545	9	∧	∧	NOUN
fuelectenerg-618	545	10	x2	x2	NOUN
fuelectenerg-618	546	1	1	1	NUM
fuelectenerg-618	546	2	1	1	NUM
fuelectenerg-618	546	3	1	1	NUM
fuelectenerg-618	546	4	0	0	NUM
fuelectenerg-618	546	5	x1	x1	NUM
fuelectenerg-618	546	6	∨	∨	NUM
fuelectenerg-618	546	7	x2	x2	NOUN
fuelectenerg-618	546	8	1	1	NUM
fuelectenerg-618	546	9	1	1	NUM
fuelectenerg-618	546	10	0	0	NUM
fuelectenerg-618	546	11	1	1	NUM
fuelectenerg-618	546	12	x1	x1	NUM
fuelectenerg-618	546	13	∨	∨	NUM
fuelectenerg-618	546	14	x2	x2	NOUN
fuelectenerg-618	546	15	0	0	NUM
fuelectenerg-618	546	16	0	0	NUM
fuelectenerg-618	546	17	1	1	NUM
fuelectenerg-618	546	18	0	0	NUM
fuelectenerg-618	547	1	x1	x1	NOUN
fuelectenerg-618	547	2	∧	∧	NOUN
fuelectenerg-618	547	3	x2	x2	NOUN
fuelectenerg-618	547	4	•	•	INTJ
fuelectenerg-618	547	5	if	if	SCONJ
fuelectenerg-618	547	6	both	both	PRON
fuelectenerg-618	547	7	f1(x	f1(x	NUM
fuelectenerg-618	547	8	)	)	PUNCT
fuelectenerg-618	547	9	and	and	CCONJ
fuelectenerg-618	547	10	f2(x	f2(x	NUM
fuelectenerg-618	547	11	)	)	PUNCT
fuelectenerg-618	547	12	belong	belong	VERB
fuelectenerg-618	547	13	to	to	ADP
fuelectenerg-618	547	14	the	the	DET
fuelectenerg-618	547	15	lattice	lattice	NOUN
fuelectenerg-618	547	16	then	then	ADV
fuelectenerg-618	547	17	f	f	PROPN
fuelectenerg-618	547	18	(	(	PUNCT
fuelectenerg-618	547	19	x	x	X
fuelectenerg-618	547	20	)	)	PUNCT
fuelectenerg-618	547	21	=	=	SYM
fuelectenerg-618	548	1	f1(x)∨	f1(x)∨	DET
fuelectenerg-618	548	2	f2(x	f2(x	NOUN
fuelectenerg-618	548	3	)	)	PUNCT
fuelectenerg-618	548	4	belongs	belong	VERB
fuelectenerg-618	548	5	also	also	ADV
fuelectenerg-618	548	6	to	to	ADP
fuelectenerg-618	548	7	this	this	DET
fuelectenerg-618	548	8	lattice	lattice	NOUN
fuelectenerg-618	548	9	of	of	ADP
fuelectenerg-618	548	10	boolean	boolean	ADJ
fuelectenerg-618	548	11	functions	function	NOUN
fuelectenerg-618	548	12	.	.	PUNCT
fuelectenerg-618	549	1	a	a	DET
fuelectenerg-618	549	2	lattice	lattice	NOUN
fuelectenerg-618	549	3	of	of	ADP
fuelectenerg-618	549	4	boolean	boolean	ADJ
fuelectenerg-618	549	5	function	function	NOUN
fuelectenerg-618	549	6	is	be	AUX
fuelectenerg-618	549	7	very	very	ADV
fuelectenerg-618	549	8	often	often	ADV
fuelectenerg-618	549	9	used	use	VERB
fuelectenerg-618	549	10	for	for	ADP
fuelectenerg-618	549	11	the	the	DET
fuelectenerg-618	549	12	design	design	NOUN
fuelectenerg-618	549	13	of	of	ADP
fuelectenerg-618	549	14	a	a	DET
fuelectenerg-618	549	15	digital	digital	ADJ
fuelectenerg-618	549	16	circuit	circuit	NOUN
fuelectenerg-618	549	17	.	.	PUNCT
fuelectenerg-618	550	1	based	base	VERB
fuelectenerg-618	550	2	on	on	ADP
fuelectenerg-618	550	3	another	another	DET
fuelectenerg-618	550	4	point	point	NOUN
fuelectenerg-618	550	5	of	of	ADP
fuelectenerg-618	550	6	view	view	NOUN
fuelectenerg-618	550	7	,	,	PUNCT
fuelectenerg-618	550	8	such	such	DET
fuelectenerg-618	550	9	a	a	DET
fuelectenerg-618	550	10	lattice	lattice	NOUN
fuelectenerg-618	550	11	is	be	AUX
fuelectenerg-618	550	12	sometimes	sometimes	ADV
fuelectenerg-618	550	13	called	call	VERB
fuelectenerg-618	550	14	incompletely	incompletely	ADV
fuelectenerg-618	550	15	specified	specify	VERB
fuelectenerg-618	550	16	function	function	NOUN
fuelectenerg-618	550	17	(	(	PUNCT
fuelectenerg-618	550	18	isf	isf	PROPN
fuelectenerg-618	550	19	)	)	PUNCT
fuelectenerg-618	550	20	.	.	PUNCT
fuelectenerg-618	551	1	one	one	NUM
fuelectenerg-618	551	2	method	method	NOUN
fuelectenerg-618	551	3	to	to	PART
fuelectenerg-618	551	4	describe	describe	VERB
fuelectenerg-618	551	5	the	the	DET
fuelectenerg-618	551	6	lattice	lattice	NOUN
fuelectenerg-618	551	7	of	of	ADP
fuelectenerg-618	551	8	functions	function	NOUN
fuelectenerg-618	551	9	of	of	ADP
fuelectenerg-618	551	10	an	an	DET
fuelectenerg-618	551	11	isf	isf	PROPN
fuelectenerg-618	551	12	uses	use	VERB
fuelectenerg-618	551	13	two	two	NUM
fuelectenerg-618	551	14	mark	mark	NOUN
fuelectenerg-618	551	15	functions	function	NOUN
fuelectenerg-618	551	16	called	call	VERB
fuelectenerg-618	551	17	:	:	PUNCT
fuelectenerg-618	551	18	1	1	X
fuelectenerg-618	551	19	.	.	X
fuelectenerg-618	551	20	on	on	ADP
fuelectenerg-618	551	21	-	-	PUNCT
fuelectenerg-618	551	22	set	set	VERB
fuelectenerg-618	551	23	q(x	q(x	NOUN
fuelectenerg-618	551	24	):	):	PUNCT
fuelectenerg-618	551	25	all	all	DET
fuelectenerg-618	551	26	functions	function	NOUN
fuelectenerg-618	551	27	of	of	ADP
fuelectenerg-618	551	28	the	the	DET
fuelectenerg-618	551	29	lattice	lattice	NOUN
fuelectenerg-618	551	30	must	must	AUX
fuelectenerg-618	551	31	be	be	AUX
fuelectenerg-618	551	32	equal	equal	ADJ
fuelectenerg-618	551	33	to	to	ADP
fuelectenerg-618	551	34	one	one	NUM
fuelectenerg-618	551	35	for	for	ADP
fuelectenerg-618	551	36	q(x	q(x	NOUN
fuelectenerg-618	551	37	)	)	PUNCT
fuelectenerg-618	551	38	=	=	SYM
fuelectenerg-618	551	39	1	1	NUM
fuelectenerg-618	551	40	,	,	PUNCT
fuelectenerg-618	551	41	and	and	CCONJ
fuelectenerg-618	551	42	2	2	NUM
fuelectenerg-618	551	43	.	.	X
fuelectenerg-618	551	44	off	off	ADV
fuelectenerg-618	551	45	-	-	PUNCT
fuelectenerg-618	551	46	set	set	VERB
fuelectenerg-618	551	47	r(x	r(x	NOUN
fuelectenerg-618	551	48	):	):	PUNCT
fuelectenerg-618	551	49	all	all	DET
fuelectenerg-618	551	50	functions	function	NOUN
fuelectenerg-618	551	51	of	of	ADP
fuelectenerg-618	551	52	the	the	DET
fuelectenerg-618	551	53	lattice	lattice	NOUN
fuelectenerg-618	551	54	must	must	AUX
fuelectenerg-618	551	55	be	be	AUX
fuelectenerg-618	551	56	equal	equal	ADJ
fuelectenerg-618	551	57	to	to	ADP
fuelectenerg-618	551	58	zero	zero	NUM
fuelectenerg-618	551	59	for	for	ADP
fuelectenerg-618	551	60	r(x	r(x	PROPN
fuelectenerg-618	551	61	)	)	PUNCT
fuelectenerg-618	551	62	=	=	SYM
fuelectenerg-618	552	1	1	1	X
fuelectenerg-618	552	2	.	.	PUNCT
fuelectenerg-618	552	3	using	use	VERB
fuelectenerg-618	552	4	these	these	DET
fuelectenerg-618	552	5	known	know	VERB
fuelectenerg-618	552	6	mark	mark	NOUN
fuelectenerg-618	552	7	functions	function	NOUN
fuelectenerg-618	552	8	each	each	DET
fuelectenerg-618	552	9	function	function	NOUN
fuelectenerg-618	552	10	f	f	PROPN
fuelectenerg-618	552	11	(	(	PUNCT
fuelectenerg-618	552	12	x	x	NOUN
fuelectenerg-618	552	13	)	)	PUNCT
fuelectenerg-618	552	14	of	of	ADP
fuelectenerg-618	552	15	the	the	DET
fuelectenerg-618	552	16	set	set	NOUN
fuelectenerg-618	552	17	of	of	ADP
fuelectenerg-618	552	18	functions	function	NOUN
fuelectenerg-618	552	19	{	{	PUNCT
fuelectenerg-618	552	20	fi(x	fi(x	NUM
fuelectenerg-618	552	21	)	)	PUNCT
fuelectenerg-618	552	22	}	}	PUNCT
fuelectenerg-618	552	23	must	must	AUX
fuelectenerg-618	552	24	hold	hold	VERB
fuelectenerg-618	552	25	the	the	DET
fuelectenerg-618	552	26	inequalities	inequality	NOUN
fuelectenerg-618	552	27	:	:	PUNCT
fuelectenerg-618	552	28	f	f	PROPN
fuelectenerg-618	552	29	(	(	PUNCT
fuelectenerg-618	552	30	x	x	NOUN
fuelectenerg-618	552	31	)	)	PUNCT
fuelectenerg-618	552	32	≥	≥	X
fuelectenerg-618	552	33	q(x	q(x	PROPN
fuelectenerg-618	552	34	)	)	PUNCT
fuelectenerg-618	552	35	,	,	PUNCT
fuelectenerg-618	552	36	(	(	PUNCT
fuelectenerg-618	552	37	42	42	X
fuelectenerg-618	552	38	)	)	PUNCT
fuelectenerg-618	552	39	f	f	NOUN
fuelectenerg-618	552	40	(	(	PUNCT
fuelectenerg-618	552	41	x	x	NOUN
fuelectenerg-618	552	42	)	)	PUNCT
fuelectenerg-618	552	43	≤	≤	NOUN
fuelectenerg-618	552	44	r(x	r(x	PROPN
fuelectenerg-618	552	45	)	)	PUNCT
fuelectenerg-618	552	46	,	,	PUNCT
fuelectenerg-618	552	47	(	(	PUNCT
fuelectenerg-618	552	48	43	43	NUM
fuelectenerg-618	552	49	)	)	PUNCT
fuelectenerg-618	552	50	which	which	PRON
fuelectenerg-618	552	51	can	can	AUX
fuelectenerg-618	552	52	be	be	AUX
fuelectenerg-618	552	53	transformed	transform	VERB
fuelectenerg-618	552	54	into	into	ADP
fuelectenerg-618	552	55	the	the	DET
fuelectenerg-618	552	56	equivalent	equivalent	ADJ
fuelectenerg-618	552	57	restrictions	restriction	NOUN
fuelectenerg-618	552	58	:	:	PUNCT
fuelectenerg-618	552	59	f	f	PROPN
fuelectenerg-618	552	60	(	(	PUNCT
fuelectenerg-618	552	61	x)∧q(x	x)∧q(x	PROPN
fuelectenerg-618	552	62	)	)	PUNCT
fuelectenerg-618	553	1	=	=	SYM
fuelectenerg-618	553	2	0	0	NUM
fuelectenerg-618	553	3	,	,	PUNCT
fuelectenerg-618	553	4	(	(	PUNCT
fuelectenerg-618	553	5	44	44	NUM
fuelectenerg-618	553	6	)	)	PUNCT
fuelectenerg-618	553	7	f	f	PROPN
fuelectenerg-618	553	8	(	(	PUNCT
fuelectenerg-618	553	9	x)∧	x)∧	X
fuelectenerg-618	553	10	r(x	r(x	PROPN
fuelectenerg-618	553	11	)	)	PUNCT
fuelectenerg-618	553	12	=	=	SYM
fuelectenerg-618	553	13	0	0	PROPN
fuelectenerg-618	553	14	.	.	PUNCT
fuelectenerg-618	554	1	(	(	PUNCT
fuelectenerg-618	554	2	45	45	NUM
fuelectenerg-618	554	3	)	)	PUNCT
fuelectenerg-618	554	4	the	the	DET
fuelectenerg-618	554	5	system	system	NOUN
fuelectenerg-618	554	6	of	of	ADP
fuelectenerg-618	554	7	equations	equation	NOUN
fuelectenerg-618	554	8	(	(	PUNCT
fuelectenerg-618	554	9	44	44	NUM
fuelectenerg-618	554	10	)	)	PUNCT
fuelectenerg-618	554	11	and	and	CCONJ
fuelectenerg-618	554	12	(	(	PUNCT
fuelectenerg-618	554	13	45	45	NUM
fuelectenerg-618	554	14	)	)	PUNCT
fuelectenerg-618	554	15	can	can	AUX
fuelectenerg-618	554	16	be	be	AUX
fuelectenerg-618	554	17	merged	merge	VERB
fuelectenerg-618	554	18	into	into	ADP
fuelectenerg-618	554	19	a	a	DET
fuelectenerg-618	554	20	single	single	ADJ
fuelectenerg-618	554	21	boolean	boolean	ADJ
fuelectenerg-618	554	22	equation	equation	NOUN
fuelectenerg-618	554	23	:	:	PUNCT
fuelectenerg-618	554	24	f	f	PROPN
fuelectenerg-618	554	25	(	(	PUNCT
fuelectenerg-618	554	26	x)∧q(x)∨	x)∧q(x)∨	PROPN
fuelectenerg-618	554	27	f	f	PROPN
fuelectenerg-618	554	28	(	(	PUNCT
fuelectenerg-618	554	29	x)∧	x)∧	PROPN
fuelectenerg-618	554	30	r(x	r(x	PROPN
fuelectenerg-618	554	31	)	)	PUNCT
fuelectenerg-618	554	32	=	=	SYM
fuelectenerg-618	554	33	0	0	PROPN
fuelectenerg-618	554	34	.	.	PUNCT
fuelectenerg-618	555	1	(	(	PUNCT
fuelectenerg-618	555	2	46	46	NUM
fuelectenerg-618	555	3	)	)	PUNCT
fuelectenerg-618	555	4	66	66	NUM
fuelectenerg-618	555	5	b.	b.	PROPN
fuelectenerg-618	555	6	steinbach	steinbach	PROPN
fuelectenerg-618	555	7	,	,	PUNCT
fuelectenerg-618	555	8	c.	c.	PROPN
fuelectenerg-618	555	9	posthoff	posthoff	PROPN
fuelectenerg-618	555	10	boolean	boolean	ADJ
fuelectenerg-618	555	11	differential	differential	ADJ
fuelectenerg-618	555	12	equations	equation	NOUN
fuelectenerg-618	555	13	–	–	PUNCT
fuelectenerg-618	555	14	a	a	DET
fuelectenerg-618	555	15	common	common	ADJ
fuelectenerg-618	555	16	model	model	NOUN
fuelectenerg-618	555	17	for	for	ADP
fuelectenerg-618	555	18	classes	class	NOUN
fuelectenerg-618	555	19	,	,	PUNCT
fuelectenerg-618	555	20	lattices	lattice	NOUN
fuelectenerg-618	555	21	...	...	PUNCT
fuelectenerg-618	555	22	67	67	NUM
fuelectenerg-618	555	23	116	116	NUM
fuelectenerg-618	555	24	b.	b.	PROPN
fuelectenerg-618	555	25	steinbach	steinbach	PROPN
fuelectenerg-618	555	26	and	and	CCONJ
fuelectenerg-618	555	27	c.	c.	PROPN
fuelectenerg-618	555	28	posthoff	posthoff	PROPN
fuelectenerg-618	555	29	tab	tab	PROPN
fuelectenerg-618	555	30	.	.	PUNCT
fuelectenerg-618	556	1	4	4	NUM
fuelectenerg-618	556	2	.	.	NOUN
fuelectenerg-618	556	3	solution	solution	NOUN
fuelectenerg-618	556	4	functions	function	NOUN
fuelectenerg-618	556	5	of	of	ADP
fuelectenerg-618	556	6	bde	bde	PROPN
fuelectenerg-618	556	7	(	(	PUNCT
fuelectenerg-618	556	8	40	40	NUM
fuelectenerg-618	556	9	)	)	PUNCT
fuelectenerg-618	556	10	v0	v0	NOUN
fuelectenerg-618	556	11	v1	v1	NOUN
fuelectenerg-618	556	12	v2	v2	PROPN
fuelectenerg-618	556	13	v3	v3	PROPN
fuelectenerg-618	556	14	class	class	NOUN
fuelectenerg-618	556	15	1	1	NUM
fuelectenerg-618	556	16	class	class	NOUN
fuelectenerg-618	556	17	2	2	NUM
fuelectenerg-618	556	18	0	0	NUM
fuelectenerg-618	556	19	1	1	NUM
fuelectenerg-618	556	20	1	1	NUM
fuelectenerg-618	556	21	1	1	NUM
fuelectenerg-618	556	22	x1	x1	NUM
fuelectenerg-618	556	23	∨	∨	NUM
fuelectenerg-618	556	24	x2	x2	PROPN
fuelectenerg-618	557	1	1	1	NUM
fuelectenerg-618	557	2	0	0	NUM
fuelectenerg-618	557	3	0	0	NUM
fuelectenerg-618	557	4	0	0	NUM
fuelectenerg-618	558	1	x1	x1	NUM
fuelectenerg-618	558	2	∧	∧	NOUN
fuelectenerg-618	558	3	x2	x2	NOUN
fuelectenerg-618	558	4	1	1	NUM
fuelectenerg-618	558	5	0	0	NUM
fuelectenerg-618	558	6	1	1	NUM
fuelectenerg-618	558	7	1	1	NUM
fuelectenerg-618	558	8	x1	x1	NUM
fuelectenerg-618	558	9	∨	∨	NUM
fuelectenerg-618	558	10	x2	x2	NOUN
fuelectenerg-618	558	11	0	0	NUM
fuelectenerg-618	558	12	1	1	NUM
fuelectenerg-618	558	13	0	0	NUM
fuelectenerg-618	558	14	0	0	NUM
fuelectenerg-618	559	1	x1	x1	NUM
fuelectenerg-618	559	2	∧	∧	PROPN
fuelectenerg-618	559	3	x2	x2	NOUN
fuelectenerg-618	559	4	0	0	NUM
fuelectenerg-618	559	5	0	0	NUM
fuelectenerg-618	559	6	0	0	NUM
fuelectenerg-618	559	7	1	1	NUM
fuelectenerg-618	559	8	x1	x1	NOUN
fuelectenerg-618	559	9	∧	∧	NOUN
fuelectenerg-618	559	10	x2	x2	NOUN
fuelectenerg-618	560	1	1	1	NUM
fuelectenerg-618	560	2	1	1	NUM
fuelectenerg-618	560	3	1	1	NUM
fuelectenerg-618	560	4	0	0	NUM
fuelectenerg-618	560	5	x1	x1	NUM
fuelectenerg-618	560	6	∨	∨	NUM
fuelectenerg-618	560	7	x2	x2	NOUN
fuelectenerg-618	560	8	1	1	NUM
fuelectenerg-618	560	9	1	1	NUM
fuelectenerg-618	560	10	0	0	NUM
fuelectenerg-618	560	11	1	1	NUM
fuelectenerg-618	560	12	x1	x1	NUM
fuelectenerg-618	560	13	∨	∨	NUM
fuelectenerg-618	560	14	x2	x2	NOUN
fuelectenerg-618	560	15	0	0	NUM
fuelectenerg-618	560	16	0	0	NUM
fuelectenerg-618	560	17	1	1	NUM
fuelectenerg-618	560	18	0	0	NUM
fuelectenerg-618	561	1	x1	x1	NOUN
fuelectenerg-618	561	2	∧	∧	NOUN
fuelectenerg-618	561	3	x2	x2	NOUN
fuelectenerg-618	561	4	•	•	INTJ
fuelectenerg-618	561	5	if	if	SCONJ
fuelectenerg-618	561	6	both	both	PRON
fuelectenerg-618	561	7	f1(x	f1(x	NUM
fuelectenerg-618	561	8	)	)	PUNCT
fuelectenerg-618	561	9	and	and	CCONJ
fuelectenerg-618	561	10	f2(x	f2(x	NUM
fuelectenerg-618	561	11	)	)	PUNCT
fuelectenerg-618	561	12	belong	belong	VERB
fuelectenerg-618	561	13	to	to	ADP
fuelectenerg-618	561	14	the	the	DET
fuelectenerg-618	561	15	lattice	lattice	NOUN
fuelectenerg-618	561	16	then	then	ADV
fuelectenerg-618	561	17	f	f	PROPN
fuelectenerg-618	561	18	(	(	PUNCT
fuelectenerg-618	561	19	x	x	X
fuelectenerg-618	561	20	)	)	PUNCT
fuelectenerg-618	561	21	=	=	SYM
fuelectenerg-618	562	1	f1(x)∨	f1(x)∨	DET
fuelectenerg-618	562	2	f2(x	f2(x	NOUN
fuelectenerg-618	562	3	)	)	PUNCT
fuelectenerg-618	562	4	belongs	belong	VERB
fuelectenerg-618	562	5	also	also	ADV
fuelectenerg-618	562	6	to	to	ADP
fuelectenerg-618	562	7	this	this	DET
fuelectenerg-618	562	8	lattice	lattice	NOUN
fuelectenerg-618	562	9	of	of	ADP
fuelectenerg-618	562	10	boolean	boolean	ADJ
fuelectenerg-618	562	11	functions	function	NOUN
fuelectenerg-618	562	12	.	.	PUNCT
fuelectenerg-618	563	1	a	a	DET
fuelectenerg-618	563	2	lattice	lattice	NOUN
fuelectenerg-618	563	3	of	of	ADP
fuelectenerg-618	563	4	boolean	boolean	ADJ
fuelectenerg-618	563	5	function	function	NOUN
fuelectenerg-618	563	6	is	be	AUX
fuelectenerg-618	563	7	very	very	ADV
fuelectenerg-618	563	8	often	often	ADV
fuelectenerg-618	563	9	used	use	VERB
fuelectenerg-618	563	10	for	for	ADP
fuelectenerg-618	563	11	the	the	DET
fuelectenerg-618	563	12	design	design	NOUN
fuelectenerg-618	563	13	of	of	ADP
fuelectenerg-618	563	14	a	a	DET
fuelectenerg-618	563	15	digital	digital	ADJ
fuelectenerg-618	563	16	circuit	circuit	NOUN
fuelectenerg-618	563	17	.	.	PUNCT
fuelectenerg-618	564	1	based	base	VERB
fuelectenerg-618	564	2	on	on	ADP
fuelectenerg-618	564	3	another	another	DET
fuelectenerg-618	564	4	point	point	NOUN
fuelectenerg-618	564	5	of	of	ADP
fuelectenerg-618	564	6	view	view	NOUN
fuelectenerg-618	564	7	,	,	PUNCT
fuelectenerg-618	564	8	such	such	DET
fuelectenerg-618	564	9	a	a	DET
fuelectenerg-618	564	10	lattice	lattice	NOUN
fuelectenerg-618	564	11	is	be	AUX
fuelectenerg-618	564	12	sometimes	sometimes	ADV
fuelectenerg-618	564	13	called	call	VERB
fuelectenerg-618	564	14	incompletely	incompletely	ADV
fuelectenerg-618	564	15	specified	specify	VERB
fuelectenerg-618	564	16	function	function	NOUN
fuelectenerg-618	564	17	(	(	PUNCT
fuelectenerg-618	564	18	isf	isf	PROPN
fuelectenerg-618	564	19	)	)	PUNCT
fuelectenerg-618	564	20	.	.	PUNCT
fuelectenerg-618	565	1	one	one	NUM
fuelectenerg-618	565	2	method	method	NOUN
fuelectenerg-618	565	3	to	to	PART
fuelectenerg-618	565	4	describe	describe	VERB
fuelectenerg-618	565	5	the	the	DET
fuelectenerg-618	565	6	lattice	lattice	NOUN
fuelectenerg-618	565	7	of	of	ADP
fuelectenerg-618	565	8	functions	function	NOUN
fuelectenerg-618	565	9	of	of	ADP
fuelectenerg-618	565	10	an	an	DET
fuelectenerg-618	565	11	isf	isf	PROPN
fuelectenerg-618	565	12	uses	use	VERB
fuelectenerg-618	565	13	two	two	NUM
fuelectenerg-618	565	14	mark	mark	NOUN
fuelectenerg-618	565	15	functions	function	NOUN
fuelectenerg-618	565	16	called	call	VERB
fuelectenerg-618	565	17	:	:	PUNCT
fuelectenerg-618	565	18	1	1	X
fuelectenerg-618	565	19	.	.	X
fuelectenerg-618	565	20	on	on	ADP
fuelectenerg-618	565	21	-	-	PUNCT
fuelectenerg-618	565	22	set	set	VERB
fuelectenerg-618	565	23	q(x	q(x	NOUN
fuelectenerg-618	565	24	):	):	PUNCT
fuelectenerg-618	565	25	all	all	DET
fuelectenerg-618	565	26	functions	function	NOUN
fuelectenerg-618	565	27	of	of	ADP
fuelectenerg-618	565	28	the	the	DET
fuelectenerg-618	565	29	lattice	lattice	NOUN
fuelectenerg-618	565	30	must	must	AUX
fuelectenerg-618	565	31	be	be	AUX
fuelectenerg-618	565	32	equal	equal	ADJ
fuelectenerg-618	565	33	to	to	ADP
fuelectenerg-618	565	34	one	one	NUM
fuelectenerg-618	565	35	for	for	ADP
fuelectenerg-618	565	36	q(x	q(x	NOUN
fuelectenerg-618	565	37	)	)	PUNCT
fuelectenerg-618	565	38	=	=	SYM
fuelectenerg-618	565	39	1	1	NUM
fuelectenerg-618	565	40	,	,	PUNCT
fuelectenerg-618	565	41	and	and	CCONJ
fuelectenerg-618	565	42	2	2	NUM
fuelectenerg-618	565	43	.	.	X
fuelectenerg-618	565	44	off	off	ADV
fuelectenerg-618	565	45	-	-	PUNCT
fuelectenerg-618	565	46	set	set	VERB
fuelectenerg-618	565	47	r(x	r(x	NOUN
fuelectenerg-618	565	48	):	):	PUNCT
fuelectenerg-618	565	49	all	all	DET
fuelectenerg-618	565	50	functions	function	NOUN
fuelectenerg-618	565	51	of	of	ADP
fuelectenerg-618	565	52	the	the	DET
fuelectenerg-618	565	53	lattice	lattice	NOUN
fuelectenerg-618	565	54	must	must	AUX
fuelectenerg-618	565	55	be	be	AUX
fuelectenerg-618	565	56	equal	equal	ADJ
fuelectenerg-618	565	57	to	to	ADP
fuelectenerg-618	565	58	zero	zero	NUM
fuelectenerg-618	565	59	for	for	ADP
fuelectenerg-618	565	60	r(x	r(x	PROPN
fuelectenerg-618	565	61	)	)	PUNCT
fuelectenerg-618	565	62	=	=	SYM
fuelectenerg-618	566	1	1	1	X
fuelectenerg-618	566	2	.	.	PUNCT
fuelectenerg-618	566	3	using	use	VERB
fuelectenerg-618	566	4	these	these	DET
fuelectenerg-618	566	5	known	know	VERB
fuelectenerg-618	566	6	mark	mark	NOUN
fuelectenerg-618	566	7	functions	function	NOUN
fuelectenerg-618	566	8	each	each	DET
fuelectenerg-618	566	9	function	function	NOUN
fuelectenerg-618	566	10	f	f	PROPN
fuelectenerg-618	566	11	(	(	PUNCT
fuelectenerg-618	566	12	x	x	NOUN
fuelectenerg-618	566	13	)	)	PUNCT
fuelectenerg-618	566	14	of	of	ADP
fuelectenerg-618	566	15	the	the	DET
fuelectenerg-618	566	16	set	set	NOUN
fuelectenerg-618	566	17	of	of	ADP
fuelectenerg-618	566	18	functions	function	NOUN
fuelectenerg-618	566	19	{	{	PUNCT
fuelectenerg-618	566	20	fi(x	fi(x	NUM
fuelectenerg-618	566	21	)	)	PUNCT
fuelectenerg-618	566	22	}	}	PUNCT
fuelectenerg-618	566	23	must	must	AUX
fuelectenerg-618	566	24	hold	hold	VERB
fuelectenerg-618	566	25	the	the	DET
fuelectenerg-618	566	26	inequalities	inequality	NOUN
fuelectenerg-618	566	27	:	:	PUNCT
fuelectenerg-618	566	28	f	f	PROPN
fuelectenerg-618	566	29	(	(	PUNCT
fuelectenerg-618	566	30	x	x	NOUN
fuelectenerg-618	566	31	)	)	PUNCT
fuelectenerg-618	566	32	≥	≥	X
fuelectenerg-618	566	33	q(x	q(x	PROPN
fuelectenerg-618	566	34	)	)	PUNCT
fuelectenerg-618	566	35	,	,	PUNCT
fuelectenerg-618	566	36	(	(	PUNCT
fuelectenerg-618	566	37	42	42	X
fuelectenerg-618	566	38	)	)	PUNCT
fuelectenerg-618	566	39	f	f	NOUN
fuelectenerg-618	566	40	(	(	PUNCT
fuelectenerg-618	566	41	x	x	NOUN
fuelectenerg-618	566	42	)	)	PUNCT
fuelectenerg-618	566	43	≤	≤	NOUN
fuelectenerg-618	566	44	r(x	r(x	PROPN
fuelectenerg-618	566	45	)	)	PUNCT
fuelectenerg-618	566	46	,	,	PUNCT
fuelectenerg-618	566	47	(	(	PUNCT
fuelectenerg-618	566	48	43	43	NUM
fuelectenerg-618	566	49	)	)	PUNCT
fuelectenerg-618	566	50	which	which	PRON
fuelectenerg-618	566	51	can	can	AUX
fuelectenerg-618	566	52	be	be	AUX
fuelectenerg-618	566	53	transformed	transform	VERB
fuelectenerg-618	566	54	into	into	ADP
fuelectenerg-618	566	55	the	the	DET
fuelectenerg-618	566	56	equivalent	equivalent	ADJ
fuelectenerg-618	566	57	restrictions	restriction	NOUN
fuelectenerg-618	566	58	:	:	PUNCT
fuelectenerg-618	566	59	f	f	PROPN
fuelectenerg-618	566	60	(	(	PUNCT
fuelectenerg-618	566	61	x)∧q(x	x)∧q(x	PROPN
fuelectenerg-618	566	62	)	)	PUNCT
fuelectenerg-618	567	1	=	=	SYM
fuelectenerg-618	567	2	0	0	NUM
fuelectenerg-618	567	3	,	,	PUNCT
fuelectenerg-618	567	4	(	(	PUNCT
fuelectenerg-618	567	5	44	44	NUM
fuelectenerg-618	567	6	)	)	PUNCT
fuelectenerg-618	567	7	f	f	PROPN
fuelectenerg-618	567	8	(	(	PUNCT
fuelectenerg-618	567	9	x)∧	x)∧	X
fuelectenerg-618	567	10	r(x	r(x	PROPN
fuelectenerg-618	567	11	)	)	PUNCT
fuelectenerg-618	567	12	=	=	SYM
fuelectenerg-618	567	13	0	0	PROPN
fuelectenerg-618	567	14	.	.	PUNCT
fuelectenerg-618	568	1	(	(	PUNCT
fuelectenerg-618	568	2	45	45	NUM
fuelectenerg-618	568	3	)	)	PUNCT
fuelectenerg-618	568	4	the	the	DET
fuelectenerg-618	568	5	system	system	NOUN
fuelectenerg-618	568	6	of	of	ADP
fuelectenerg-618	568	7	equations	equation	NOUN
fuelectenerg-618	568	8	(	(	PUNCT
fuelectenerg-618	568	9	44	44	NUM
fuelectenerg-618	568	10	)	)	PUNCT
fuelectenerg-618	568	11	and	and	CCONJ
fuelectenerg-618	568	12	(	(	PUNCT
fuelectenerg-618	568	13	45	45	NUM
fuelectenerg-618	568	14	)	)	PUNCT
fuelectenerg-618	568	15	can	can	AUX
fuelectenerg-618	568	16	be	be	AUX
fuelectenerg-618	568	17	merged	merge	VERB
fuelectenerg-618	568	18	into	into	ADP
fuelectenerg-618	568	19	a	a	DET
fuelectenerg-618	568	20	single	single	ADJ
fuelectenerg-618	568	21	boolean	boolean	ADJ
fuelectenerg-618	568	22	equation	equation	NOUN
fuelectenerg-618	568	23	:	:	PUNCT
fuelectenerg-618	568	24	f	f	PROPN
fuelectenerg-618	568	25	(	(	PUNCT
fuelectenerg-618	568	26	x)∧q(x)∨	x)∧q(x)∨	PROPN
fuelectenerg-618	568	27	f	f	PROPN
fuelectenerg-618	568	28	(	(	PUNCT
fuelectenerg-618	568	29	x)∧	x)∧	PROPN
fuelectenerg-618	568	30	r(x	r(x	PROPN
fuelectenerg-618	568	31	)	)	PUNCT
fuelectenerg-618	568	32	=	=	SYM
fuelectenerg-618	568	33	0	0	PROPN
fuelectenerg-618	568	34	.	.	PUNCT
fuelectenerg-618	569	1	(	(	PUNCT
fuelectenerg-618	569	2	46	46	NUM
fuelectenerg-618	569	3	)	)	PUNCT
fuelectenerg-618	569	4	boolean	boolean	ADJ
fuelectenerg-618	569	5	differential	differential	ADJ
fuelectenerg-618	569	6	equations	equation	NOUN
fuelectenerg-618	569	7	a	a	DET
fuelectenerg-618	569	8	common	common	ADJ
fuelectenerg-618	569	9	model	model	NOUN
fuelectenerg-618	569	10	for	for	ADP
fuelectenerg-618	569	11	classes	class	NOUN
fuelectenerg-618	569	12	,	,	PUNCT
fuelectenerg-618	569	13	lattices	lattice	NOUN
fuelectenerg-618	569	14	,	,	PUNCT
fuelectenerg-618	569	15	...	...	PUNCT
fuelectenerg-618	569	16	117	117	NUM
fuelectenerg-618	569	17	the	the	DET
fuelectenerg-618	569	18	functions	function	NOUN
fuelectenerg-618	569	19	q(x	q(x	NOUN
fuelectenerg-618	569	20	)	)	PUNCT
fuelectenerg-618	569	21	and	and	CCONJ
fuelectenerg-618	569	22	r(x	r(x	PROPN
fuelectenerg-618	569	23	)	)	PUNCT
fuelectenerg-618	569	24	in	in	ADP
fuelectenerg-618	569	25	(	(	PUNCT
fuelectenerg-618	569	26	46	46	NUM
fuelectenerg-618	569	27	)	)	PUNCT
fuelectenerg-618	569	28	are	be	AUX
fuelectenerg-618	569	29	known	know	VERB
fuelectenerg-618	569	30	and	and	CCONJ
fuelectenerg-618	569	31	can	can	AUX
fuelectenerg-618	569	32	be	be	AUX
fuelectenerg-618	569	33	represent	represent	VERB
fuelectenerg-618	569	34	by	by	ADP
fuelectenerg-618	569	35	expressions	expression	NOUN
fuelectenerg-618	569	36	of	of	ADP
fuelectenerg-618	569	37	boolean	boolean	ADJ
fuelectenerg-618	569	38	variables	variable	NOUN
fuelectenerg-618	569	39	connected	connect	VERB
fuelectenerg-618	569	40	by	by	ADP
fuelectenerg-618	569	41	boolean	boolean	ADJ
fuelectenerg-618	569	42	operations	operation	NOUN
fuelectenerg-618	569	43	.	.	PUNCT
fuelectenerg-618	570	1	the	the	DET
fuelectenerg-618	570	2	term	term	NOUN
fuelectenerg-618	570	3	f	f	PROPN
fuelectenerg-618	570	4	(	(	PUNCT
fuelectenerg-618	570	5	x	x	X
fuelectenerg-618	570	6	)	)	PUNCT
fuelectenerg-618	570	7	in	in	ADP
fuelectenerg-618	570	8	(	(	PUNCT
fuelectenerg-618	570	9	46	46	NUM
fuelectenerg-618	570	10	)	)	PUNCT
fuelectenerg-618	570	11	describes	describe	VERB
fuelectenerg-618	570	12	the	the	DET
fuelectenerg-618	570	13	unknown	unknown	ADJ
fuelectenerg-618	570	14	functions	function	NOUN
fuelectenerg-618	570	15	of	of	ADP
fuelectenerg-618	570	16	the	the	DET
fuelectenerg-618	570	17	lattice	lattice	NOUN
fuelectenerg-618	570	18	.	.	PUNCT
fuelectenerg-618	571	1	hence	hence	ADV
fuelectenerg-618	571	2	,	,	PUNCT
fuelectenerg-618	571	3	the	the	DET
fuelectenerg-618	571	4	equation	equation	NOUN
fuelectenerg-618	571	5	(	(	PUNCT
fuelectenerg-618	571	6	46	46	NUM
fuelectenerg-618	571	7	)	)	PUNCT
fuelectenerg-618	571	8	fits	fit	VERB
fuelectenerg-618	571	9	to	to	ADP
fuelectenerg-618	571	10	the	the	DET
fuelectenerg-618	571	11	type	type	NOUN
fuelectenerg-618	571	12	of	of	ADP
fuelectenerg-618	571	13	boolean	boolean	ADJ
fuelectenerg-618	571	14	differential	differential	ADJ
fuelectenerg-618	571	15	equations	equation	NOUN
fuelectenerg-618	571	16	(	(	PUNCT
fuelectenerg-618	571	17	29	29	NUM
fuelectenerg-618	571	18	)	)	PUNCT
fuelectenerg-618	571	19	,	,	PUNCT
fuelectenerg-618	571	20	where	where	SCONJ
fuelectenerg-618	571	21	only	only	ADV
fuelectenerg-618	571	22	f	f	X
fuelectenerg-618	571	23	(	(	PUNCT
fuelectenerg-618	571	24	x	x	NOUN
fuelectenerg-618	571	25	)	)	PUNCT
fuelectenerg-618	571	26	and	and	CCONJ
fuelectenerg-618	571	27	variables	variable	NOUN
fuelectenerg-618	571	28	xi	xi	INTJ
fuelectenerg-618	572	1	but	but	CCONJ
fuelectenerg-618	572	2	no	no	DET
fuelectenerg-618	572	3	simple	simple	ADJ
fuelectenerg-618	572	4	or	or	CCONJ
fuelectenerg-618	572	5	vectorial	vectorial	ADJ
fuelectenerg-618	572	6	derivatives	derivative	NOUN
fuelectenerg-618	572	7	occur	occur	VERB
fuelectenerg-618	572	8	.	.	PUNCT
fuelectenerg-618	573	1	all	all	DET
fuelectenerg-618	573	2	functions	function	NOUN
fuelectenerg-618	573	3	of	of	ADP
fuelectenerg-618	573	4	a	a	DET
fuelectenerg-618	573	5	lattice	lattice	NOUN
fuelectenerg-618	573	6	which	which	PRON
fuelectenerg-618	573	7	is	be	AUX
fuelectenerg-618	573	8	specified	specify	VERB
fuelectenerg-618	573	9	by	by	ADP
fuelectenerg-618	573	10	the	the	DET
fuelectenerg-618	573	11	bde	bde	PROPN
fuelectenerg-618	573	12	(	(	PUNCT
fuelectenerg-618	573	13	46	46	NUM
fuelectenerg-618	573	14	)	)	PUNCT
fuelectenerg-618	573	15	can	can	AUX
fuelectenerg-618	573	16	be	be	AUX
fuelectenerg-618	573	17	calculated	calculate	VERB
fuelectenerg-618	573	18	using	use	VERB
fuelectenerg-618	573	19	algorithm	algorithm	NOUN
fuelectenerg-618	573	20	2	2	NUM
fuelectenerg-618	573	21	.	.	PUNCT
fuelectenerg-618	573	22	example	example	NOUN
fuelectenerg-618	573	23	4	4	NUM
fuelectenerg-618	573	24	.	.	PUNCT
fuelectenerg-618	573	25	let	let	VERB
fuelectenerg-618	573	26	q(x	q(x	NOUN
fuelectenerg-618	573	27	)	)	PUNCT
fuelectenerg-618	574	1	=	=	PUNCT
fuelectenerg-618	575	1	x1	x1	NUM
fuelectenerg-618	575	2	x3	x3	PROPN
fuelectenerg-618	575	3	∨	∨	NUM
fuelectenerg-618	576	1	x2	x2	NOUN
fuelectenerg-618	576	2	x3	x3	ADJ
fuelectenerg-618	576	3	and	and	CCONJ
fuelectenerg-618	576	4	r(x	r(x	NOUN
fuelectenerg-618	576	5	)	)	PUNCT
fuelectenerg-618	577	1	=	=	PUNCT
fuelectenerg-618	578	1	x1	x1	NUM
fuelectenerg-618	579	1	x2	x2	PROPN
fuelectenerg-618	579	2	be	be	VERB
fuelectenerg-618	579	3	the	the	DET
fuelectenerg-618	579	4	given	give	VERB
fuelectenerg-618	579	5	mark	mark	NOUN
fuelectenerg-618	579	6	functions	function	NOUN
fuelectenerg-618	579	7	of	of	ADP
fuelectenerg-618	579	8	a	a	DET
fuelectenerg-618	579	9	lattice	lattice	NOUN
fuelectenerg-618	579	10	of	of	ADP
fuelectenerg-618	579	11	boolean	boolean	ADJ
fuelectenerg-618	579	12	functions	function	NOUN
fuelectenerg-618	579	13	f	f	X
fuelectenerg-618	579	14	(	(	PUNCT
fuelectenerg-618	579	15	x	x	NOUN
fuelectenerg-618	579	16	)	)	PUNCT
fuelectenerg-618	579	17	.	.	PUNCT
fuelectenerg-618	580	1	using	use	VERB
fuelectenerg-618	580	2	(	(	PUNCT
fuelectenerg-618	580	3	46	46	NUM
fuelectenerg-618	580	4	)	)	PUNCT
fuelectenerg-618	580	5	,	,	PUNCT
fuelectenerg-618	580	6	we	we	PRON
fuelectenerg-618	580	7	get	get	VERB
fuelectenerg-618	580	8	the	the	DET
fuelectenerg-618	580	9	bde	bde	NOUN
fuelectenerg-618	580	10	of	of	ADP
fuelectenerg-618	580	11	this	this	DET
fuelectenerg-618	580	12	lattice	lattice	NOUN
fuelectenerg-618	580	13	:	:	PUNCT
fuelectenerg-618	580	14	f	f	X
fuelectenerg-618	580	15	(	(	PUNCT
fuelectenerg-618	580	16	x)∧	x)∧	PROPN
fuelectenerg-618	580	17	(	(	PUNCT
fuelectenerg-618	580	18	x1	x1	PROPN
fuelectenerg-618	580	19	x3	x3	PROPN
fuelectenerg-618	580	20	∨	∨	NUM
fuelectenerg-618	581	1	x2	x2	PROPN
fuelectenerg-618	582	1	x3)∨	x3)∨	PROPN
fuelectenerg-618	582	2	f	f	PROPN
fuelectenerg-618	582	3	(	(	PUNCT
fuelectenerg-618	582	4	x)∧	x)∧	PROPN
fuelectenerg-618	582	5	x1	x1	NUM
fuelectenerg-618	582	6	x2	x2	NOUN
fuelectenerg-618	583	1	=	=	SYM
fuelectenerg-618	583	2	0	0	PUNCT
fuelectenerg-618	583	3	(	(	PUNCT
fuelectenerg-618	583	4	47	47	NUM
fuelectenerg-618	583	5	)	)	PUNCT
fuelectenerg-618	583	6	and	and	CCONJ
fuelectenerg-618	583	7	the	the	DET
fuelectenerg-618	583	8	associated	associated	ADJ
fuelectenerg-618	583	9	boolean	boolean	ADJ
fuelectenerg-618	583	10	equation	equation	NOUN
fuelectenerg-618	583	11	:	:	PUNCT
fuelectenerg-618	583	12	u0	u0	PROPN
fuelectenerg-618	583	13	∧	∧	PROPN
fuelectenerg-618	583	14	(	(	PUNCT
fuelectenerg-618	583	15	x1	x1	PROPN
fuelectenerg-618	583	16	x3	x3	PROPN
fuelectenerg-618	583	17	∨	∨	PROPN
fuelectenerg-618	584	1	x2	x2	PROPN
fuelectenerg-618	584	2	x3)∨u0	x3)∨u0	PROPN
fuelectenerg-618	585	1	∧	∧	NOUN
fuelectenerg-618	585	2	x1	x1	NUM
fuelectenerg-618	585	3	x2	x2	NOUN
fuelectenerg-618	586	1	=	=	NOUN
fuelectenerg-618	586	2	0	0	PROPN
fuelectenerg-618	586	3	.	.	PUNCT
fuelectenerg-618	587	1	(	(	PUNCT
fuelectenerg-618	587	2	48	48	NUM
fuelectenerg-618	587	3	)	)	PUNCT
fuelectenerg-618	587	4	figure	figure	NOUN
fuelectenerg-618	587	5	5	5	NUM
fuelectenerg-618	587	6	shows	show	VERB
fuelectenerg-618	587	7	the	the	DET
fuelectenerg-618	587	8	prp	prp	NOUN
fuelectenerg-618	587	9	that	that	PRON
fuelectenerg-618	587	10	is	be	AUX
fuelectenerg-618	587	11	used	use	VERB
fuelectenerg-618	587	12	in	in	ADP
fuelectenerg-618	587	13	the	the	DET
fuelectenerg-618	587	14	xboole	xboole	NOUN
fuelectenerg-618	587	15	-	-	PUNCT
fuelectenerg-618	587	16	monitor	monitor	NOUN
fuelectenerg-618	587	17	to	to	PART
fuelectenerg-618	587	18	solve	solve	VERB
fuelectenerg-618	587	19	the	the	DET
fuelectenerg-618	587	20	bde	bde	PROPN
fuelectenerg-618	587	21	(	(	PUNCT
fuelectenerg-618	587	22	47	47	NUM
fuelectenerg-618	587	23	)	)	PUNCT
fuelectenerg-618	587	24	.	.	PUNCT
fuelectenerg-618	588	1	after	after	ADP
fuelectenerg-618	588	2	the	the	DET
fuelectenerg-618	588	3	definition	definition	NOUN
fuelectenerg-618	588	4	of	of	ADP
fuelectenerg-618	588	5	the	the	DET
fuelectenerg-618	588	6	boolean	boolean	ADJ
fuelectenerg-618	588	7	space	space	NOUN
fuelectenerg-618	588	8	b	b	PROPN
fuelectenerg-618	588	9	32	32	NUM
fuelectenerg-618	588	10	in	in	ADP
fuelectenerg-618	588	11	line	line	NOUN
fuelectenerg-618	588	12	1	1	NUM
fuelectenerg-618	588	13	;	;	PUNCT
fuelectenerg-618	588	14	the	the	DET
fuelectenerg-618	588	15	used	use	VERB
fuelectenerg-618	588	16	variables	variable	NOUN
fuelectenerg-618	588	17	are	be	AUX
fuelectenerg-618	588	18	defined	define	VERB
fuelectenerg-618	588	19	in	in	ADP
fuelectenerg-618	588	20	lines	line	NOUN
fuelectenerg-618	588	21	2	2	NUM
fuelectenerg-618	588	22	to	to	ADP
fuelectenerg-618	588	23	5	5	NUM
fuelectenerg-618	588	24	,	,	PUNCT
fuelectenerg-618	588	25	and	and	CCONJ
fuelectenerg-618	588	26	the	the	DET
fuelectenerg-618	588	27	associated	associated	ADJ
fuelectenerg-618	588	28	boolean	boolean	ADJ
fuelectenerg-618	588	29	equation	equation	NOUN
fuelectenerg-618	588	30	is	be	AUX
fuelectenerg-618	588	31	solved	solve	VERB
fuelectenerg-618	588	32	in	in	ADP
fuelectenerg-618	588	33	lines	line	NOUN
fuelectenerg-618	588	34	6	6	NUM
fuelectenerg-618	588	35	to	to	PART
fuelectenerg-618	588	36	8	8	NUM
fuelectenerg-618	588	37	.	.	PUNCT
fuelectenerg-618	589	1	the	the	DET
fuelectenerg-618	589	2	bde	bde	PROPN
fuelectenerg-618	589	3	(	(	PUNCT
fuelectenerg-618	589	4	47	47	NUM
fuelectenerg-618	589	5	)	)	PUNCT
fuelectenerg-618	589	6	contains	contain	VERB
fuelectenerg-618	589	7	only	only	ADV
fuelectenerg-618	589	8	f	f	PROPN
fuelectenerg-618	589	9	(	(	PUNCT
fuelectenerg-618	589	10	x	x	X
fuelectenerg-618	589	11	)	)	PUNCT
fuelectenerg-618	589	12	out	out	ADP
fuelectenerg-618	589	13	of	of	ADP
fuelectenerg-618	589	14	the	the	DET
fuelectenerg-618	589	15	vector	vector	NOUN
fuelectenerg-618	589	16	∇	∇	X
fuelectenerg-618	589	17	f	f	X
fuelectenerg-618	589	18	(	(	PUNCT
fuelectenerg-618	589	19	x	x	X
fuelectenerg-618	589	20	)	)	PUNCT
fuelectenerg-618	589	21	so	so	SCONJ
fuelectenerg-618	589	22	that	that	SCONJ
fuelectenerg-618	589	23	the	the	DET
fuelectenerg-618	589	24	transformation	transformation	NOUN
fuelectenerg-618	589	25	d2v	d2v	PROPN
fuelectenerg-618	589	26	can	can	AUX
fuelectenerg-618	589	27	be	be	AUX
fuelectenerg-618	589	28	restricted	restrict	VERB
fuelectenerg-618	589	29	to	to	ADP
fuelectenerg-618	589	30	the	the	DET
fuelectenerg-618	589	31	mapping	mapping	NOUN
fuelectenerg-618	589	32	of	of	ADP
fuelectenerg-618	589	33	u0	u0	ADJ
fuelectenerg-618	589	34	to	to	PART
fuelectenerg-618	589	35	v0	v0	VERB
fuelectenerg-618	589	36	in	in	ADP
fuelectenerg-618	589	37	lines	line	NOUN
fuelectenerg-618	589	38	9	9	NUM
fuelectenerg-618	589	39	to	to	ADP
fuelectenerg-618	589	40	14	14	NUM
fuelectenerg-618	589	41	.	.	PUNCT
fuelectenerg-618	590	1	due	due	ADP
fuelectenerg-618	590	2	to	to	ADP
fuelectenerg-618	590	3	the	the	DET
fuelectenerg-618	590	4	existing	exist	VERB
fuelectenerg-618	590	5	variables	variable	NOUN
fuelectenerg-618	590	6	xi	xi	ADP
fuelectenerg-618	590	7	algorithm	algorithm	PROPN
fuelectenerg-618	590	8	2	2	NUM
fuelectenerg-618	590	9	must	must	AUX
fuelectenerg-618	590	10	be	be	AUX
fuelectenerg-618	590	11	used	use	VERB
fuelectenerg-618	590	12	to	to	PART
fuelectenerg-618	590	13	separate	separate	VERB
fuelectenerg-618	590	14	the	the	DET
fuelectenerg-618	590	15	set	set	NOUN
fuelectenerg-618	590	16	of	of	ADP
fuelectenerg-618	590	17	solution	solution	NOUN
fuelectenerg-618	590	18	functions	function	NOUN
fuelectenerg-618	590	19	.	.	PUNCT
fuelectenerg-618	591	1	all	all	DET
fuelectenerg-618	591	2	steps	step	NOUN
fuelectenerg-618	591	3	of	of	ADP
fuelectenerg-618	591	4	the	the	DET
fuelectenerg-618	591	5	loop	loop	NOUN
fuelectenerg-618	591	6	of	of	ADP
fuelectenerg-618	591	7	lines	line	NOUN
fuelectenerg-618	591	8	3	3	NUM
fuelectenerg-618	591	9	to	to	PART
fuelectenerg-618	591	10	8	8	NUM
fuelectenerg-618	591	11	of	of	ADP
fuelectenerg-618	591	12	algorithm	algorithm	NOUN
fuelectenerg-618	591	13	2	2	NUM
fuelectenerg-618	591	14	are	be	AUX
fuelectenerg-618	591	15	realized	realize	VERB
fuelectenerg-618	591	16	in	in	ADP
fuelectenerg-618	591	17	lines	line	NOUN
fuelectenerg-618	591	18	15	15	NUM
fuelectenerg-618	591	19	to	to	PART
fuelectenerg-618	591	20	53	53	NUM
fuelectenerg-618	591	21	of	of	ADP
fuelectenerg-618	591	22	the	the	DET
fuelectenerg-618	591	23	prp	prp	NOUN
fuelectenerg-618	591	24	in	in	ADP
fuelectenerg-618	591	25	figure	figure	NOUN
fuelectenerg-618	591	26	5	5	NUM
fuelectenerg-618	591	27	.	.	PUNCT
fuelectenerg-618	592	1	the	the	DET
fuelectenerg-618	592	2	lines	line	NOUN
fuelectenerg-618	592	3	15	15	NUM
fuelectenerg-618	592	4	to	to	PART
fuelectenerg-618	592	5	27	27	NUM
fuelectenerg-618	592	6	of	of	ADP
fuelectenerg-618	592	7	the	the	DET
fuelectenerg-618	592	8	prp	prp	NOUN
fuelectenerg-618	592	9	describe	describe	VERB
fuelectenerg-618	592	10	the	the	DET
fuelectenerg-618	592	11	first	first	ADJ
fuelectenerg-618	592	12	sweep	sweep	NOUN
fuelectenerg-618	592	13	of	of	ADP
fuelectenerg-618	592	14	this	this	DET
fuelectenerg-618	592	15	loop	loop	NOUN
fuelectenerg-618	592	16	for	for	ADP
fuelectenerg-618	592	17	x1	x1	PROPN
fuelectenerg-618	592	18	.	.	PUNCT
fuelectenerg-618	593	1	the	the	DET
fuelectenerg-618	593	2	indices	index	NOUN
fuelectenerg-618	593	3	of	of	ADP
fuelectenerg-618	593	4	the	the	DET
fuelectenerg-618	593	5	variables	variable	NOUN
fuelectenerg-618	593	6	vi	vi	PROPN
fuelectenerg-618	593	7	are	be	AUX
fuelectenerg-618	593	8	taken	take	VERB
fuelectenerg-618	593	9	from	from	ADP
fuelectenerg-618	593	10	the	the	DET
fuelectenerg-618	593	11	first	first	ADJ
fuelectenerg-618	593	12	four	four	NUM
fuelectenerg-618	593	13	rows	row	NOUN
fuelectenerg-618	593	14	of	of	ADP
fuelectenerg-618	593	15	column	column	NOUN
fuelectenerg-618	593	16	i=	i=	PROPN
fuelectenerg-618	593	17	1	1	NUM
fuelectenerg-618	593	18	of	of	ADP
fuelectenerg-618	593	19	table	table	NOUN
fuelectenerg-618	593	20	3	3	NUM
fuelectenerg-618	593	21	where	where	SCONJ
fuelectenerg-618	593	22	the	the	DET
fuelectenerg-618	593	23	vt	vt	PROPN
fuelectenerg-618	593	24	11	11	NUM
fuelectenerg-618	593	25	uses	use	VERB
fuelectenerg-618	593	26	the	the	DET
fuelectenerg-618	593	27	left	left	ADJ
fuelectenerg-618	593	28	values	value	NOUN
fuelectenerg-618	593	29	and	and	CCONJ
fuelectenerg-618	593	30	the	the	DET
fuelectenerg-618	593	31	vt	vt	PROPN
fuelectenerg-618	593	32	12	12	NUM
fuelectenerg-618	593	33	the	the	DET
fuelectenerg-618	593	34	right	right	ADJ
fuelectenerg-618	593	35	values	value	NOUN
fuelectenerg-618	593	36	.	.	PUNCT
fuelectenerg-618	594	1	the	the	DET
fuelectenerg-618	594	2	intermediate	intermediate	ADJ
fuelectenerg-618	594	3	solution	solution	NOUN
fuelectenerg-618	594	4	of	of	ADP
fuelectenerg-618	594	5	this	this	DET
fuelectenerg-618	594	6	sweep	sweep	NOUN
fuelectenerg-618	594	7	is	be	AUX
fuelectenerg-618	594	8	stored	store	VERB
fuelectenerg-618	594	9	into	into	ADP
fuelectenerg-618	594	10	the	the	DET
fuelectenerg-618	594	11	same	same	ADJ
fuelectenerg-618	594	12	xboole	xboole	NOUN
fuelectenerg-618	594	13	-	-	PUNCT
fuelectenerg-618	594	14	object	object	NOUN
fuelectenerg-618	594	15	5	5	NUM
fuelectenerg-618	594	16	that	that	PRON
fuelectenerg-618	594	17	represent	represent	VERB
fuelectenerg-618	594	18	the	the	DET
fuelectenerg-618	594	19	function	function	NOUN
fuelectenerg-618	594	20	s	s	PROPN
fuelectenerg-618	594	21	of	of	ADP
fuelectenerg-618	594	22	algorithm	algorithm	NOUN
fuelectenerg-618	594	23	2	2	NUM
fuelectenerg-618	594	24	.	.	PUNCT
fuelectenerg-618	595	1	hence	hence	ADV
fuelectenerg-618	595	2	,	,	PUNCT
fuelectenerg-618	595	3	the	the	DET
fuelectenerg-618	595	4	fragment	fragment	NOUN
fuelectenerg-618	595	5	of	of	ADP
fuelectenerg-618	595	6	lines	line	NOUN
fuelectenerg-618	595	7	15	15	NUM
fuelectenerg-618	595	8	to	to	PART
fuelectenerg-618	595	9	27	27	NUM
fuelectenerg-618	595	10	of	of	ADP
fuelectenerg-618	595	11	the	the	DET
fuelectenerg-618	595	12	first	first	ADJ
fuelectenerg-618	595	13	sweep	sweep	NOUN
fuelectenerg-618	595	14	of	of	ADP
fuelectenerg-618	595	15	the	the	DET
fuelectenerg-618	595	16	loop	loop	NOUN
fuelectenerg-618	595	17	can	can	AUX
fuelectenerg-618	595	18	be	be	AUX
fuelectenerg-618	595	19	reused	reuse	VERB
fuelectenerg-618	595	20	in	in	ADP
fuelectenerg-618	595	21	lines	line	NOUN
fuelectenerg-618	595	22	28	28	NUM
fuelectenerg-618	595	23	to	to	PART
fuelectenerg-618	595	24	40	40	NUM
fuelectenerg-618	595	25	for	for	ADP
fuelectenerg-618	595	26	the	the	DET
fuelectenerg-618	595	27	second	second	ADJ
fuelectenerg-618	595	28	sweep	sweep	NOUN
fuelectenerg-618	595	29	with	with	ADP
fuelectenerg-618	595	30	x2	x2	PROPN
fuelectenerg-618	595	31	and	and	CCONJ
fuelectenerg-618	595	32	the	the	DET
fuelectenerg-618	595	33	vts	vts	NOUN
fuelectenerg-618	595	34	specified	specify	VERB
fuelectenerg-618	595	35	by	by	ADP
fuelectenerg-618	595	36	column	column	NOUN
fuelectenerg-618	595	37	i	i	NOUN
fuelectenerg-618	595	38	=	=	NOUN
fuelectenerg-618	595	39	2	2	NUM
fuelectenerg-618	595	40	of	of	ADP
fuelectenerg-618	595	41	table	table	NOUN
fuelectenerg-618	595	42	3	3	NUM
fuelectenerg-618	595	43	and	and	CCONJ
fuelectenerg-618	595	44	in	in	ADP
fuelectenerg-618	595	45	lines	line	NOUN
fuelectenerg-618	595	46	41	41	NUM
fuelectenerg-618	595	47	to	to	ADP
fuelectenerg-618	595	48	53	53	NUM
fuelectenerg-618	595	49	for	for	ADP
fuelectenerg-618	595	50	the	the	DET
fuelectenerg-618	595	51	third	third	ADJ
fuelectenerg-618	595	52	sweep	sweep	NOUN
fuelectenerg-618	595	53	with	with	ADP
fuelectenerg-618	595	54	x3	x3	ADJ
fuelectenerg-618	595	55	and	and	CCONJ
fuelectenerg-618	595	56	the	the	DET
fuelectenerg-618	595	57	vts	vts	NOUN
fuelectenerg-618	595	58	specified	specify	VERB
fuelectenerg-618	595	59	by	by	ADP
fuelectenerg-618	595	60	column	column	NOUN
fuelectenerg-618	595	61	i	i	NOUN
fuelectenerg-618	595	62	=	=	NOUN
fuelectenerg-618	595	63	3	3	NUM
fuelectenerg-618	595	64	of	of	ADP
fuelectenerg-618	595	65	table	table	NOUN
fuelectenerg-618	595	66	3	3	NUM
fuelectenerg-618	595	67	,	,	PUNCT
fuelectenerg-618	595	68	respectively	respectively	ADV
fuelectenerg-618	595	69	.	.	PUNCT
fuelectenerg-618	596	1	tab	tab	NOUN
fuelectenerg-618	596	2	.	.	PUNCT
fuelectenerg-618	597	1	5	5	NUM
fuelectenerg-618	597	2	.	.	NOUN
fuelectenerg-618	597	3	solution	solution	NOUN
fuelectenerg-618	597	4	functions	function	NOUN
fuelectenerg-618	597	5	of	of	ADP
fuelectenerg-618	597	6	bde	bde	PROPN
fuelectenerg-618	597	7	(	(	PUNCT
fuelectenerg-618	597	8	47	47	NUM
fuelectenerg-618	597	9	)	)	PUNCT
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fuelectenerg-618	597	14	v4	v4	PROPN
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fuelectenerg-618	598	8	0	0	NUM
fuelectenerg-618	598	9	1	1	NUM
fuelectenerg-618	598	10	1	1	NUM
fuelectenerg-618	598	11	1	1	NUM
fuelectenerg-618	598	12	0	0	NUM
fuelectenerg-618	598	13	1	1	NUM
fuelectenerg-618	598	14	f1(x	f1(x	NUM
fuelectenerg-618	598	15	)	)	PUNCT
fuelectenerg-618	598	16	=	=	SYM
fuelectenerg-618	599	1	x1	x1	PROPN
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fuelectenerg-618	599	3	x2	x2	PROPN
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fuelectenerg-618	599	5	1	1	NUM
fuelectenerg-618	599	6	0	0	NUM
fuelectenerg-618	599	7	1	1	NUM
fuelectenerg-618	599	8	0	0	NUM
fuelectenerg-618	599	9	1	1	NUM
fuelectenerg-618	599	10	0	0	NUM
fuelectenerg-618	599	11	1	1	NUM
fuelectenerg-618	599	12	f2(x	f2(x	NOUN
fuelectenerg-618	599	13	)	)	PUNCT
fuelectenerg-618	599	14	=	=	SYM
fuelectenerg-618	600	1	x1	x1	PROPN
fuelectenerg-618	600	2	∨	∨	NUM
fuelectenerg-618	600	3	x2	x2	NOUN
fuelectenerg-618	600	4	x3	x3	ADJ
fuelectenerg-618	600	5	1	1	NUM
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fuelectenerg-618	600	7	0	0	NUM
fuelectenerg-618	600	8	0	0	NUM
fuelectenerg-618	600	9	1	1	NUM
fuelectenerg-618	600	10	1	1	NUM
fuelectenerg-618	600	11	0	0	NUM
fuelectenerg-618	600	12	1	1	NUM
fuelectenerg-618	600	13	f3(x	f3(x	PROPN
fuelectenerg-618	600	14	)	)	PUNCT
fuelectenerg-618	600	15	=	=	SYM
fuelectenerg-618	601	1	x1	x1	NUM
fuelectenerg-618	601	2	x3	x3	PROPN
fuelectenerg-618	601	3	∨	∨	NUM
fuelectenerg-618	601	4	x2	x2	PROPN
fuelectenerg-618	601	5	1	1	NUM
fuelectenerg-618	601	6	1	1	NUM
fuelectenerg-618	601	7	0	0	NUM
fuelectenerg-618	601	8	0	0	NUM
fuelectenerg-618	601	9	0	0	NUM
fuelectenerg-618	601	10	1	1	NUM
fuelectenerg-618	601	11	0	0	NUM
fuelectenerg-618	601	12	1	1	NUM
fuelectenerg-618	601	13	f4(x	f4(x	NUM
fuelectenerg-618	601	14	)	)	PUNCT
fuelectenerg-618	601	15	=	=	SYM
fuelectenerg-618	602	1	x1	x1	NUM
fuelectenerg-618	602	2	x3	x3	PROPN
fuelectenerg-618	602	3	∨	∨	NUM
fuelectenerg-618	602	4	x2	x2	NOUN
fuelectenerg-618	602	5	x3	x3	PROPN
fuelectenerg-618	602	6	66	66	NUM
fuelectenerg-618	602	7	b.	b.	PROPN
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fuelectenerg-618	602	9	,	,	PUNCT
fuelectenerg-618	602	10	c.	c.	PROPN
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fuelectenerg-618	602	15	–	–	PUNCT
fuelectenerg-618	602	16	a	a	DET
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fuelectenerg-618	602	20	classes	class	NOUN
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fuelectenerg-618	602	22	lattices	lattice	NOUN
fuelectenerg-618	602	23	...	...	PUNCT
fuelectenerg-618	602	24	67	67	NUM
fuelectenerg-618	602	25	118	118	NUM
fuelectenerg-618	602	26	b.	b.	NOUN
fuelectenerg-618	602	27	steinbach	steinbach	PROPN
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fuelectenerg-618	602	29	c.	c.	PROPN
fuelectenerg-618	602	30	posthoff	posthoff	VERB
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fuelectenerg-618	602	32	s	s	VERB
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fuelectenerg-618	602	38	1	1	NUM
fuelectenerg-618	602	39	2	2	NUM
fuelectenerg-618	602	40	a	a	DET
fuelectenerg-618	602	41	v	v	NOUN
fuelectenerg-618	602	42	a	a	DET
fuelectenerg-618	602	43	r	r	NOUN
fuelectenerg-618	602	44	1	1	NUM
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fuelectenerg-618	602	46	u0	u0	NOUN
fuelectenerg-618	602	47	4	4	NUM
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fuelectenerg-618	602	49	v1	v1	NOUN
fuelectenerg-618	602	50	v2	v2	PROPN
fuelectenerg-618	602	51	v3	v3	PROPN
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fuelectenerg-618	603	1	x1	x1	NOUN
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fuelectenerg-618	604	3	.	.	PUNCT
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fuelectenerg-618	605	3	1	1	NUM
fuelectenerg-618	605	4	1	1	NUM
fuelectenerg-618	605	5	7	7	NUM
fuelectenerg-618	605	6	/	/	SYM
fuelectenerg-618	605	7	u0&(x1&x3	u0&(x1&x3	ADJ
fuelectenerg-618	605	8	+	+	PROPN
fuelectenerg-618	605	9	/	/	SYM
fuelectenerg-618	605	10	x2&/x3	x2&/x3	NUM
fuelectenerg-618	605	11	)	)	PUNCT
fuelectenerg-618	606	1	+	+	CCONJ
fuelectenerg-618	606	2	8	8	NUM
fuelectenerg-618	606	3	u0	u0	NOUN
fuelectenerg-618	606	4	&	&	CCONJ
fuelectenerg-618	606	5	(	(	PUNCT
fuelectenerg-618	606	6	/	/	SYM
fuelectenerg-618	606	7	x1&x2	x1&x2	PROPN
fuelectenerg-618	606	8	)	)	PUNCT
fuelectenerg-618	607	1	=	=	PUNCT
fuelectenerg-618	607	2	0	0	NUM
fuelectenerg-618	607	3	.	.	PUNCT
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fuelectenerg-618	608	3	1	1	NUM
fuelectenerg-618	608	4	2	2	NUM
fuelectenerg-618	608	5	10	10	NUM
fuelectenerg-618	608	6	v0	v0	NOUN
fuelectenerg-618	608	7	=	=	NOUN
fuelectenerg-618	608	8	u0	u0	ADJ
fuelectenerg-618	608	9	.	.	PUNCT
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fuelectenerg-618	610	3	c	c	NOUN
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fuelectenerg-618	610	8	v	v	NOUN
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fuelectenerg-618	611	6	u0	u0	NOUN
fuelectenerg-618	611	7	.	.	PUNCT
fuelectenerg-618	612	1	14	14	NUM
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fuelectenerg-618	612	4	4	4	NUM
fuelectenerg-618	612	5	5	5	NUM
fuelectenerg-618	612	6	15	15	NUM
fuelectenerg-618	612	7	sbe	sbe	NOUN
fuelectenerg-618	612	8	1	1	NUM
fuelectenerg-618	612	9	6	6	NUM
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fuelectenerg-618	612	11	x1	x1	NOUN
fuelectenerg-618	613	1	=	=	NOUN
fuelectenerg-618	613	2	0	0	NUM
fuelectenerg-618	613	3	.	.	PUNCT
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fuelectenerg-618	615	2	s	s	VERB
fuelectenerg-618	615	3	c	c	NOUN
fuelectenerg-618	615	4	5	5	NUM
fuelectenerg-618	615	5	6	6	NUM
fuelectenerg-618	615	6	7	7	NUM
fuelectenerg-618	615	7	18	18	NUM
fuelectenerg-618	615	8	maxk	maxk	NOUN
fuelectenerg-618	615	9	7	7	NUM
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fuelectenerg-618	615	11	8	8	NUM
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fuelectenerg-618	615	18	20	20	NUM
fuelectenerg-618	616	1	i	i	PRON
fuelectenerg-618	616	2	s	s	VERB
fuelectenerg-618	616	3	c	c	NOUN
fuelectenerg-618	616	4	5	5	NUM
fuelectenerg-618	616	5	6	6	NUM
fuelectenerg-618	616	6	9	9	NUM
fuelectenerg-618	616	7	21	21	NUM
fuelectenerg-618	616	8	maxk	maxk	NOUN
fuelectenerg-618	616	9	9	9	NUM
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fuelectenerg-618	616	11	10	10	NUM
fuelectenerg-618	616	12	22	22	NUM
fuelectenerg-618	616	13	v	v	ADP
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fuelectenerg-618	617	3	1	1	NUM
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fuelectenerg-618	617	5	23	23	NUM
fuelectenerg-618	617	6	v0	v0	NOUN
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fuelectenerg-618	617	8	v4	v4	PROPN
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fuelectenerg-618	617	10	.	.	PUNCT
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fuelectenerg-618	619	2	n	n	NOUN
fuelectenerg-618	619	3	1	1	NUM
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fuelectenerg-618	619	5	25	25	NUM
fuelectenerg-618	619	6	v1	v1	NOUN
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fuelectenerg-618	619	10	.	.	PUNCT
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fuelectenerg-618	621	1	i	i	PRON
fuelectenerg-618	621	2	s	s	AUX
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fuelectenerg-618	621	6	5	5	NUM
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fuelectenerg-618	621	9	1	1	NUM
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fuelectenerg-618	621	12	x2	x2	NOUN
fuelectenerg-618	621	13	=	=	NOUN
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fuelectenerg-618	621	15	.	.	PUNCT
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fuelectenerg-618	623	4	5	5	NUM
fuelectenerg-618	623	5	6	6	NUM
fuelectenerg-618	623	6	7	7	NUM
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fuelectenerg-618	623	8	maxk	maxk	NOUN
fuelectenerg-618	623	9	7	7	NUM
fuelectenerg-618	623	10	6	6	NUM
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fuelectenerg-618	623	13	c	c	NOUN
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fuelectenerg-618	624	3	c	c	NOUN
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fuelectenerg-618	625	7	v1	v1	NOUN
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fuelectenerg-618	625	10	.	.	PUNCT
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fuelectenerg-618	627	10	.	.	PUNCT
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fuelectenerg-618	629	1	i	i	PRON
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fuelectenerg-618	629	12	x3	x3	ADJ
fuelectenerg-618	629	13	=	=	NOUN
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fuelectenerg-618	629	15	.	.	PUNCT
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fuelectenerg-618	631	8	maxk	maxk	NOUN
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fuelectenerg-618	632	8	maxk	maxk	NOUN
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fuelectenerg-618	633	10	.	.	PUNCT
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fuelectenerg-618	635	10	.	.	PUNCT
fuelectenerg-618	636	1	52	52	NUM
fuelectenerg-618	636	2	cco	cco	PROPN
fuelectenerg-618	636	3	10	10	NUM
fuelectenerg-618	636	4	11	11	NUM
fuelectenerg-618	636	5	12	12	NUM
fuelectenerg-618	636	6	13	13	NUM
fuelectenerg-618	636	7	53	53	NUM
fuelectenerg-618	637	1	i	i	PRON
fuelectenerg-618	637	2	s	s	NOUN
fuelectenerg-618	637	3	c	c	NOUN
fuelectenerg-618	637	4	8	8	NUM
fuelectenerg-618	637	5	13	13	NUM
fuelectenerg-618	637	6	5	5	NUM
fuelectenerg-618	637	7	fig	fig	NOUN
fuelectenerg-618	637	8	.	.	PUNCT
fuelectenerg-618	638	1	5	5	X
fuelectenerg-618	638	2	.	.	X
fuelectenerg-618	638	3	listing	list	VERB
fuelectenerg-618	638	4	of	of	ADP
fuelectenerg-618	638	5	the	the	DET
fuelectenerg-618	638	6	prp	prp	NOUN
fuelectenerg-618	638	7	to	to	PART
fuelectenerg-618	638	8	solve	solve	VERB
fuelectenerg-618	638	9	the	the	DET
fuelectenerg-618	638	10	bde	bde	PROPN
fuelectenerg-618	638	11	(	(	PUNCT
fuelectenerg-618	638	12	47	47	NUM
fuelectenerg-618	638	13	)	)	PUNCT
fuelectenerg-618	638	14	.	.	PUNCT
fuelectenerg-618	639	1	table	table	NOUN
fuelectenerg-618	639	2	5	5	NUM
fuelectenerg-618	639	3	enumerates	enumerate	VERB
fuelectenerg-618	639	4	the	the	DET
fuelectenerg-618	639	5	four	four	NUM
fuelectenerg-618	639	6	solution	solution	NOUN
fuelectenerg-618	639	7	functions	function	NOUN
fuelectenerg-618	639	8	of	of	ADP
fuelectenerg-618	639	9	the	the	DET
fuelectenerg-618	639	10	bde	bde	PROPN
fuelectenerg-618	639	11	(	(	PUNCT
fuelectenerg-618	639	12	47	47	NUM
fuelectenerg-618	639	13	)	)	PUNCT
fuelectenerg-618	639	14	calculated	calculate	VERB
fuelectenerg-618	639	15	by	by	ADP
fuelectenerg-618	639	16	the	the	DET
fuelectenerg-618	639	17	xboole	xboole	NOUN
fuelectenerg-618	639	18	-	-	PUNCT
fuelectenerg-618	639	19	monitor	monitor	NOUN
fuelectenerg-618	639	20	using	use	VERB
fuelectenerg-618	639	21	the	the	DET
fuelectenerg-618	639	22	prp	prp	NOUN
fuelectenerg-618	639	23	of	of	ADP
fuelectenerg-618	639	24	figure	figure	NOUN
fuelectenerg-618	639	25	5	5	NUM
fuelectenerg-618	639	26	.	.	PUNCT
fuelectenerg-618	640	1	the	the	DET
fuelectenerg-618	640	2	columns	column	NOUN
fuelectenerg-618	640	3	v3	v3	PROPN
fuelectenerg-618	640	4	and	and	CCONJ
fuelectenerg-618	640	5	v4	v4	PROPN
fuelectenerg-618	640	6	show	show	VERB
fuelectenerg-618	640	7	that	that	SCONJ
fuelectenerg-618	640	8	this	this	DET
fuelectenerg-618	640	9	lattice	lattice	NOUN
fuelectenerg-618	640	10	contains	contain	VERB
fuelectenerg-618	640	11	all	all	DET
fuelectenerg-618	640	12	functions	function	NOUN
fuelectenerg-618	640	13	which	which	PRON
fuelectenerg-618	640	14	are	be	AUX
fuelectenerg-618	640	15	smaller	small	ADJ
fuelectenerg-618	640	16	or	or	CCONJ
fuelectenerg-618	640	17	equal	equal	ADJ
fuelectenerg-618	640	18	to	to	ADP
fuelectenerg-618	640	19	the	the	DET
fuelectenerg-618	640	20	supremum	supremum	ADJ
fuelectenerg-618	640	21	function	function	NOUN
fuelectenerg-618	640	22	f1(x	f1(x	NOUN
fuelectenerg-618	640	23	)	)	PUNCT
fuelectenerg-618	640	24	and	and	CCONJ
fuelectenerg-618	640	25	greater	great	ADJ
fuelectenerg-618	640	26	or	or	CCONJ
fuelectenerg-618	640	27	equal	equal	ADJ
fuelectenerg-618	640	28	to	to	ADP
fuelectenerg-618	640	29	the	the	DET
fuelectenerg-618	640	30	infimum	infimum	ADJ
fuelectenerg-618	640	31	function	function	NOUN
fuelectenerg-618	640	32	f4(x	f4(x	NUM
fuelectenerg-618	640	33	)	)	PUNCT
fuelectenerg-618	640	34	.	.	PUNCT
fuelectenerg-618	641	1	4.2	4.2	NUM
fuelectenerg-618	641	2	generalized	generalize	VERB
fuelectenerg-618	641	3	lattices	lattice	NOUN
fuelectenerg-618	641	4	of	of	ADP
fuelectenerg-618	641	5	boolean	boolean	ADJ
fuelectenerg-618	641	6	functions	function	NOUN
fuelectenerg-618	641	7	each	each	DET
fuelectenerg-618	641	8	derivative	derivative	ADJ
fuelectenerg-618	641	9	operation	operation	NOUN
fuelectenerg-618	641	10	transforms	transform	VERB
fuelectenerg-618	641	11	a	a	DET
fuelectenerg-618	641	12	given	give	VERB
fuelectenerg-618	641	13	lattice	lattice	NOUN
fuelectenerg-618	641	14	of	of	ADP
fuelectenerg-618	641	15	boolean	boolean	ADJ
fuelectenerg-618	641	16	functions	function	NOUN
fuelectenerg-618	641	17	into	into	ADP
fuelectenerg-618	641	18	another	another	DET
fuelectenerg-618	641	19	lattice	lattice	NOUN
fuelectenerg-618	641	20	of	of	ADP
fuelectenerg-618	641	21	boolean	boolean	ADJ
fuelectenerg-618	641	22	functions	function	NOUN
fuelectenerg-618	641	23	.	.	PUNCT
fuelectenerg-618	642	1	the	the	DET
fuelectenerg-618	642	2	resulting	result	VERB
fuelectenerg-618	642	3	lattices	lattice	NOUN
fuelectenerg-618	642	4	are	be	AUX
fuelectenerg-618	642	5	more	more	ADV
fuelectenerg-618	642	6	general	general	ADJ
fuelectenerg-618	642	7	because	because	SCONJ
fuelectenerg-618	642	8	the	the	DET
fuelectenerg-618	642	9	function	function	NOUN
fuelectenerg-618	642	10	values	value	VERB
fuelectenerg-618	642	11	0	0	NUM
fuelectenerg-618	642	12	and	and	CCONJ
fuelectenerg-618	642	13	1	1	NUM
fuelectenerg-618	642	14	can	can	AUX
fuelectenerg-618	642	15	not	not	PART
fuelectenerg-618	642	16	only	only	ADV
fuelectenerg-618	642	17	be	be	AUX
fuelectenerg-618	642	18	chosen	choose	VERB
fuelectenerg-618	642	19	for	for	ADP
fuelectenerg-618	642	20	a	a	DET
fuelectenerg-618	642	21	single	single	ADJ
fuelectenerg-618	642	22	x	x	NOUN
fuelectenerg-618	642	23	-	-	NOUN
fuelectenerg-618	642	24	pattern	pattern	NOUN
fuelectenerg-618	642	25	,	,	PUNCT
fuelectenerg-618	642	26	but	but	CCONJ
fuelectenerg-618	642	27	also	also	ADV
fuelectenerg-618	642	28	for	for	ADP
fuelectenerg-618	642	29	68	68	NUM
fuelectenerg-618	642	30	b.	b.	PROPN
fuelectenerg-618	642	31	steinbach	steinbach	PROPN
fuelectenerg-618	642	32	,	,	PUNCT
fuelectenerg-618	643	1	c.	c.	PROPN
fuelectenerg-618	643	2	posthoff	posthoff	PROPN
fuelectenerg-618	643	3	boolean	boolean	ADJ
fuelectenerg-618	643	4	differential	differential	ADJ
fuelectenerg-618	643	5	equations	equation	NOUN
fuelectenerg-618	643	6	–	–	PUNCT
fuelectenerg-618	643	7	a	a	DET
fuelectenerg-618	643	8	common	common	ADJ
fuelectenerg-618	643	9	model	model	NOUN
fuelectenerg-618	643	10	for	for	ADP
fuelectenerg-618	643	11	classes	class	NOUN
fuelectenerg-618	643	12	,	,	PUNCT
fuelectenerg-618	643	13	lattices	lattice	NOUN
fuelectenerg-618	643	14	...	...	PUNCT
fuelectenerg-618	643	15	69	69	NUM
fuelectenerg-618	643	16	118	118	NUM
fuelectenerg-618	643	17	b.	b.	NOUN
fuelectenerg-618	643	18	steinbach	steinbach	PROPN
fuelectenerg-618	643	19	and	and	CCONJ
fuelectenerg-618	643	20	c.	c.	PROPN
fuelectenerg-618	643	21	posthoff	posthoff	VERB
fuelectenerg-618	643	22	1	1	NUM
fuelectenerg-618	643	23	s	s	VERB
fuelectenerg-618	643	24	p	p	NOUN
fuelectenerg-618	643	25	a	a	PRON
fuelectenerg-618	643	26	c	c	NOUN
fuelectenerg-618	643	27	e	e	NOUN
fuelectenerg-618	643	28	32	32	NUM
fuelectenerg-618	643	29	1	1	NUM
fuelectenerg-618	643	30	2	2	NUM
fuelectenerg-618	643	31	a	a	DET
fuelectenerg-618	643	32	v	v	NOUN
fuelectenerg-618	643	33	a	a	DET
fuelectenerg-618	643	34	r	r	NOUN
fuelectenerg-618	643	35	1	1	NUM
fuelectenerg-618	643	36	3	3	NUM
fuelectenerg-618	643	37	u0	u0	NOUN
fuelectenerg-618	643	38	4	4	NUM
fuelectenerg-618	643	39	v0	v0	NOUN
fuelectenerg-618	643	40	v1	v1	NOUN
fuelectenerg-618	643	41	v2	v2	PROPN
fuelectenerg-618	643	42	v3	v3	PROPN
fuelectenerg-618	643	43	v4	v4	PROPN
fuelectenerg-618	643	44	v5	v5	PROPN
fuelectenerg-618	643	45	v6	v6	NOUN
fuelectenerg-618	643	46	v7	v7	VERB
fuelectenerg-618	644	1	5	5	NUM
fuelectenerg-618	644	2	x1	x1	NOUN
fuelectenerg-618	645	1	x2	x2	NOUN
fuelectenerg-618	645	2	x3	x3	ADJ
fuelectenerg-618	645	3	.	.	PUNCT
fuelectenerg-618	646	1	6	6	NUM
fuelectenerg-618	646	2	sbe	sbe	NOUN
fuelectenerg-618	646	3	1	1	NUM
fuelectenerg-618	646	4	1	1	NUM
fuelectenerg-618	646	5	7	7	NUM
fuelectenerg-618	646	6	/	/	SYM
fuelectenerg-618	646	7	u0&(x1&x3	u0&(x1&x3	ADJ
fuelectenerg-618	646	8	+	+	PROPN
fuelectenerg-618	646	9	/	/	SYM
fuelectenerg-618	646	10	x2&/x3	x2&/x3	NUM
fuelectenerg-618	646	11	)	)	PUNCT
fuelectenerg-618	647	1	+	+	CCONJ
fuelectenerg-618	647	2	8	8	NUM
fuelectenerg-618	647	3	u0	u0	NOUN
fuelectenerg-618	647	4	&	&	CCONJ
fuelectenerg-618	647	5	(	(	PUNCT
fuelectenerg-618	647	6	/	/	SYM
fuelectenerg-618	647	7	x1&x2	x1&x2	PROPN
fuelectenerg-618	647	8	)	)	PUNCT
fuelectenerg-618	648	1	=	=	PUNCT
fuelectenerg-618	648	2	0	0	NUM
fuelectenerg-618	648	3	.	.	PUNCT
fuelectenerg-618	649	1	9	9	NUM
fuelectenerg-618	649	2	sbe	sbe	VERB
fuelectenerg-618	649	3	1	1	NUM
fuelectenerg-618	649	4	2	2	NUM
fuelectenerg-618	649	5	10	10	NUM
fuelectenerg-618	649	6	v0	v0	NOUN
fuelectenerg-618	649	7	=	=	NOUN
fuelectenerg-618	649	8	u0	u0	ADJ
fuelectenerg-618	649	9	.	.	PUNCT
fuelectenerg-618	650	1	11	11	NUM
fuelectenerg-618	651	1	i	i	PRON
fuelectenerg-618	651	2	s	s	VERB
fuelectenerg-618	651	3	c	c	NOUN
fuelectenerg-618	651	4	1	1	NUM
fuelectenerg-618	651	5	2	2	NUM
fuelectenerg-618	651	6	3	3	NUM
fuelectenerg-618	651	7	12	12	NUM
fuelectenerg-618	651	8	v	v	NOUN
fuelectenerg-618	651	9	t	t	NOUN
fuelectenerg-618	652	1	i	i	PRON
fuelectenerg-618	652	2	n	n	PROPN
fuelectenerg-618	652	3	1	1	NUM
fuelectenerg-618	652	4	4	4	NUM
fuelectenerg-618	652	5	13	13	NUM
fuelectenerg-618	652	6	u0	u0	NOUN
fuelectenerg-618	652	7	.	.	PUNCT
fuelectenerg-618	653	1	14	14	NUM
fuelectenerg-618	653	2	maxk	maxk	NOUN
fuelectenerg-618	653	3	3	3	NUM
fuelectenerg-618	653	4	4	4	NUM
fuelectenerg-618	653	5	5	5	NUM
fuelectenerg-618	653	6	15	15	NUM
fuelectenerg-618	653	7	sbe	sbe	NOUN
fuelectenerg-618	653	8	1	1	NUM
fuelectenerg-618	653	9	6	6	NUM
fuelectenerg-618	653	10	16	16	NUM
fuelectenerg-618	653	11	x1	x1	NOUN
fuelectenerg-618	654	1	=	=	NOUN
fuelectenerg-618	654	2	0	0	NUM
fuelectenerg-618	654	3	.	.	PUNCT
fuelectenerg-618	655	1	17	17	NUM
fuelectenerg-618	656	1	i	i	PRON
fuelectenerg-618	656	2	s	s	VERB
fuelectenerg-618	656	3	c	c	NOUN
fuelectenerg-618	656	4	5	5	NUM
fuelectenerg-618	656	5	6	6	NUM
fuelectenerg-618	656	6	7	7	NUM
fuelectenerg-618	656	7	18	18	NUM
fuelectenerg-618	656	8	maxk	maxk	NOUN
fuelectenerg-618	656	9	7	7	NUM
fuelectenerg-618	656	10	6	6	NUM
fuelectenerg-618	656	11	8	8	NUM
fuelectenerg-618	656	12	19	19	NUM
fuelectenerg-618	656	13	c	c	NOUN
fuelectenerg-618	656	14	p	p	PROPN
fuelectenerg-618	656	15	l	l	NOUN
fuelectenerg-618	656	16	6	6	NUM
fuelectenerg-618	656	17	6	6	NUM
fuelectenerg-618	656	18	20	20	NUM
fuelectenerg-618	657	1	i	i	PRON
fuelectenerg-618	657	2	s	s	VERB
fuelectenerg-618	657	3	c	c	NOUN
fuelectenerg-618	657	4	5	5	NUM
fuelectenerg-618	657	5	6	6	NUM
fuelectenerg-618	657	6	9	9	NUM
fuelectenerg-618	657	7	21	21	NUM
fuelectenerg-618	657	8	maxk	maxk	NOUN
fuelectenerg-618	657	9	9	9	NUM
fuelectenerg-618	657	10	6	6	NUM
fuelectenerg-618	657	11	10	10	NUM
fuelectenerg-618	657	12	22	22	NUM
fuelectenerg-618	657	13	v	v	ADP
fuelectenerg-618	657	14	t	t	NOUN
fuelectenerg-618	658	1	i	i	PRON
fuelectenerg-618	658	2	n	n	NOUN
fuelectenerg-618	658	3	1	1	NUM
fuelectenerg-618	658	4	11	11	NUM
fuelectenerg-618	658	5	23	23	NUM
fuelectenerg-618	658	6	v0	v0	NOUN
fuelectenerg-618	658	7	v2	v2	NOUN
fuelectenerg-618	658	8	v4	v4	PROPN
fuelectenerg-618	658	9	v6	v6	NOUN
fuelectenerg-618	658	10	.	.	PUNCT
fuelectenerg-618	659	1	24	24	NUM
fuelectenerg-618	659	2	v	v	NUM
fuelectenerg-618	659	3	t	t	NOUN
fuelectenerg-618	660	1	i	i	PRON
fuelectenerg-618	660	2	n	n	NOUN
fuelectenerg-618	660	3	1	1	NUM
fuelectenerg-618	660	4	12	12	NUM
fuelectenerg-618	660	5	25	25	NUM
fuelectenerg-618	660	6	v1	v1	NOUN
fuelectenerg-618	660	7	v3	v3	PROPN
fuelectenerg-618	660	8	v5	v5	PROPN
fuelectenerg-618	660	9	v7	v7	NOUN
fuelectenerg-618	660	10	.	.	PUNCT
fuelectenerg-618	661	1	26	26	NUM
fuelectenerg-618	661	2	cco	cco	PROPN
fuelectenerg-618	661	3	10	10	NUM
fuelectenerg-618	661	4	11	11	NUM
fuelectenerg-618	661	5	12	12	NUM
fuelectenerg-618	661	6	13	13	NUM
fuelectenerg-618	661	7	27	27	NUM
fuelectenerg-618	662	1	i	i	PRON
fuelectenerg-618	662	2	s	s	AUX
fuelectenerg-618	662	3	c	c	NOUN
fuelectenerg-618	662	4	8	8	NUM
fuelectenerg-618	662	5	13	13	NUM
fuelectenerg-618	662	6	5	5	NUM
fuelectenerg-618	662	7	28	28	NUM
fuelectenerg-618	662	8	sbe	sbe	NOUN
fuelectenerg-618	662	9	1	1	NUM
fuelectenerg-618	662	10	6	6	NUM
fuelectenerg-618	662	11	29	29	NUM
fuelectenerg-618	662	12	x2	x2	NOUN
fuelectenerg-618	662	13	=	=	NOUN
fuelectenerg-618	662	14	0	0	NUM
fuelectenerg-618	662	15	.	.	PUNCT
fuelectenerg-618	663	1	30	30	NUM
fuelectenerg-618	664	1	i	i	PRON
fuelectenerg-618	664	2	s	s	VERB
fuelectenerg-618	664	3	c	c	NOUN
fuelectenerg-618	664	4	5	5	NUM
fuelectenerg-618	664	5	6	6	NUM
fuelectenerg-618	664	6	7	7	NUM
fuelectenerg-618	664	7	31	31	NUM
fuelectenerg-618	664	8	maxk	maxk	NOUN
fuelectenerg-618	664	9	7	7	NUM
fuelectenerg-618	664	10	6	6	NUM
fuelectenerg-618	664	11	8	8	NUM
fuelectenerg-618	664	12	32	32	NUM
fuelectenerg-618	664	13	c	c	NOUN
fuelectenerg-618	664	14	p	p	PROPN
fuelectenerg-618	664	15	l	l	NOUN
fuelectenerg-618	664	16	6	6	NUM
fuelectenerg-618	664	17	6	6	NUM
fuelectenerg-618	664	18	33	33	NUM
fuelectenerg-618	665	1	i	i	PRON
fuelectenerg-618	665	2	s	s	VERB
fuelectenerg-618	665	3	c	c	NOUN
fuelectenerg-618	665	4	5	5	NUM
fuelectenerg-618	665	5	6	6	NUM
fuelectenerg-618	665	6	9	9	NUM
fuelectenerg-618	665	7	34	34	NUM
fuelectenerg-618	665	8	maxk	maxk	NOUN
fuelectenerg-618	665	9	9	9	NUM
fuelectenerg-618	665	10	6	6	NUM
fuelectenerg-618	665	11	10	10	NUM
fuelectenerg-618	665	12	35	35	NUM
fuelectenerg-618	665	13	v	v	NOUN
fuelectenerg-618	665	14	t	t	NOUN
fuelectenerg-618	666	1	i	i	PRON
fuelectenerg-618	666	2	n	n	NOUN
fuelectenerg-618	666	3	1	1	NUM
fuelectenerg-618	666	4	11	11	NUM
fuelectenerg-618	666	5	36	36	NUM
fuelectenerg-618	666	6	v0	v0	NOUN
fuelectenerg-618	666	7	v1	v1	NOUN
fuelectenerg-618	666	8	v4	v4	NOUN
fuelectenerg-618	666	9	v5	v5	NOUN
fuelectenerg-618	666	10	.	.	PUNCT
fuelectenerg-618	667	1	37	37	NUM
fuelectenerg-618	667	2	v	v	NOUN
fuelectenerg-618	667	3	t	t	X
fuelectenerg-618	668	1	i	i	PRON
fuelectenerg-618	668	2	n	n	PROPN
fuelectenerg-618	668	3	1	1	NUM
fuelectenerg-618	668	4	12	12	NUM
fuelectenerg-618	668	5	38	38	NUM
fuelectenerg-618	668	6	v2	v2	PROPN
fuelectenerg-618	668	7	v3	v3	PROPN
fuelectenerg-618	668	8	v6	v6	PROPN
fuelectenerg-618	668	9	v7	v7	NOUN
fuelectenerg-618	668	10	.	.	PUNCT
fuelectenerg-618	669	1	39	39	NUM
fuelectenerg-618	669	2	cco	cco	PROPN
fuelectenerg-618	669	3	10	10	NUM
fuelectenerg-618	669	4	11	11	NUM
fuelectenerg-618	669	5	12	12	NUM
fuelectenerg-618	669	6	13	13	NUM
fuelectenerg-618	669	7	40	40	NUM
fuelectenerg-618	670	1	i	i	PRON
fuelectenerg-618	670	2	s	s	VERB
fuelectenerg-618	670	3	c	c	NOUN
fuelectenerg-618	670	4	8	8	NUM
fuelectenerg-618	670	5	13	13	NUM
fuelectenerg-618	670	6	5	5	NUM
fuelectenerg-618	670	7	41	41	NUM
fuelectenerg-618	670	8	sbe	sbe	NOUN
fuelectenerg-618	670	9	1	1	NUM
fuelectenerg-618	670	10	6	6	NUM
fuelectenerg-618	670	11	42	42	NUM
fuelectenerg-618	670	12	x3	x3	ADJ
fuelectenerg-618	670	13	=	=	NOUN
fuelectenerg-618	670	14	0	0	NUM
fuelectenerg-618	670	15	.	.	PUNCT
fuelectenerg-618	671	1	43	43	NUM
fuelectenerg-618	672	1	i	i	PRON
fuelectenerg-618	672	2	s	s	VERB
fuelectenerg-618	672	3	c	c	NOUN
fuelectenerg-618	672	4	5	5	NUM
fuelectenerg-618	672	5	6	6	NUM
fuelectenerg-618	672	6	7	7	NUM
fuelectenerg-618	672	7	44	44	NUM
fuelectenerg-618	672	8	maxk	maxk	NOUN
fuelectenerg-618	672	9	7	7	NUM
fuelectenerg-618	672	10	6	6	NUM
fuelectenerg-618	672	11	8	8	NUM
fuelectenerg-618	672	12	45	45	NUM
fuelectenerg-618	672	13	c	c	NOUN
fuelectenerg-618	672	14	p	p	PROPN
fuelectenerg-618	672	15	l	l	NOUN
fuelectenerg-618	672	16	6	6	NUM
fuelectenerg-618	672	17	6	6	NUM
fuelectenerg-618	672	18	46	46	NUM
fuelectenerg-618	673	1	i	i	PRON
fuelectenerg-618	673	2	s	s	VERB
fuelectenerg-618	673	3	c	c	NOUN
fuelectenerg-618	673	4	5	5	NUM
fuelectenerg-618	673	5	6	6	NUM
fuelectenerg-618	673	6	9	9	NUM
fuelectenerg-618	673	7	47	47	NUM
fuelectenerg-618	673	8	maxk	maxk	NOUN
fuelectenerg-618	673	9	9	9	NUM
fuelectenerg-618	673	10	6	6	NUM
fuelectenerg-618	673	11	10	10	NUM
fuelectenerg-618	673	12	48	48	NUM
fuelectenerg-618	673	13	v	v	NOUN
fuelectenerg-618	673	14	t	t	NOUN
fuelectenerg-618	674	1	i	i	PRON
fuelectenerg-618	674	2	n	n	NOUN
fuelectenerg-618	674	3	1	1	NUM
fuelectenerg-618	674	4	11	11	NUM
fuelectenerg-618	674	5	49	49	NUM
fuelectenerg-618	674	6	v0	v0	NOUN
fuelectenerg-618	674	7	v1	v1	NOUN
fuelectenerg-618	674	8	v2	v2	PROPN
fuelectenerg-618	674	9	v3	v3	PROPN
fuelectenerg-618	674	10	.	.	PUNCT
fuelectenerg-618	675	1	50	50	NUM
fuelectenerg-618	675	2	v	v	NOUN
fuelectenerg-618	675	3	t	t	X
fuelectenerg-618	676	1	i	i	PRON
fuelectenerg-618	676	2	n	n	NOUN
fuelectenerg-618	676	3	1	1	NUM
fuelectenerg-618	676	4	12	12	NUM
fuelectenerg-618	676	5	51	51	NUM
fuelectenerg-618	676	6	v4	v4	NOUN
fuelectenerg-618	676	7	v5	v5	PROPN
fuelectenerg-618	676	8	v6	v6	NOUN
fuelectenerg-618	676	9	v7	v7	NOUN
fuelectenerg-618	676	10	.	.	PUNCT
fuelectenerg-618	677	1	52	52	NUM
fuelectenerg-618	677	2	cco	cco	PROPN
fuelectenerg-618	677	3	10	10	NUM
fuelectenerg-618	677	4	11	11	NUM
fuelectenerg-618	677	5	12	12	NUM
fuelectenerg-618	677	6	13	13	NUM
fuelectenerg-618	677	7	53	53	NUM
fuelectenerg-618	678	1	i	i	PRON
fuelectenerg-618	678	2	s	s	NOUN
fuelectenerg-618	678	3	c	c	NOUN
fuelectenerg-618	678	4	8	8	NUM
fuelectenerg-618	678	5	13	13	NUM
fuelectenerg-618	678	6	5	5	NUM
fuelectenerg-618	678	7	fig	fig	NOUN
fuelectenerg-618	678	8	.	.	PUNCT
fuelectenerg-618	679	1	5	5	X
fuelectenerg-618	679	2	.	.	X
fuelectenerg-618	679	3	listing	list	VERB
fuelectenerg-618	679	4	of	of	ADP
fuelectenerg-618	679	5	the	the	DET
fuelectenerg-618	679	6	prp	prp	NOUN
fuelectenerg-618	679	7	to	to	PART
fuelectenerg-618	679	8	solve	solve	VERB
fuelectenerg-618	679	9	the	the	DET
fuelectenerg-618	679	10	bde	bde	PROPN
fuelectenerg-618	679	11	(	(	PUNCT
fuelectenerg-618	679	12	47	47	NUM
fuelectenerg-618	679	13	)	)	PUNCT
fuelectenerg-618	679	14	.	.	PUNCT
fuelectenerg-618	680	1	table	table	NOUN
fuelectenerg-618	680	2	5	5	NUM
fuelectenerg-618	680	3	enumerates	enumerate	VERB
fuelectenerg-618	680	4	the	the	DET
fuelectenerg-618	680	5	four	four	NUM
fuelectenerg-618	680	6	solution	solution	NOUN
fuelectenerg-618	680	7	functions	function	NOUN
fuelectenerg-618	680	8	of	of	ADP
fuelectenerg-618	680	9	the	the	DET
fuelectenerg-618	680	10	bde	bde	PROPN
fuelectenerg-618	680	11	(	(	PUNCT
fuelectenerg-618	680	12	47	47	NUM
fuelectenerg-618	680	13	)	)	PUNCT
fuelectenerg-618	680	14	calculated	calculate	VERB
fuelectenerg-618	680	15	by	by	ADP
fuelectenerg-618	680	16	the	the	DET
fuelectenerg-618	680	17	xboole	xboole	NOUN
fuelectenerg-618	680	18	-	-	PUNCT
fuelectenerg-618	680	19	monitor	monitor	NOUN
fuelectenerg-618	680	20	using	use	VERB
fuelectenerg-618	680	21	the	the	DET
fuelectenerg-618	680	22	prp	prp	NOUN
fuelectenerg-618	680	23	of	of	ADP
fuelectenerg-618	680	24	figure	figure	NOUN
fuelectenerg-618	680	25	5	5	NUM
fuelectenerg-618	680	26	.	.	PUNCT
fuelectenerg-618	681	1	the	the	DET
fuelectenerg-618	681	2	columns	column	NOUN
fuelectenerg-618	681	3	v3	v3	PROPN
fuelectenerg-618	681	4	and	and	CCONJ
fuelectenerg-618	681	5	v4	v4	PROPN
fuelectenerg-618	681	6	show	show	VERB
fuelectenerg-618	681	7	that	that	SCONJ
fuelectenerg-618	681	8	this	this	DET
fuelectenerg-618	681	9	lattice	lattice	NOUN
fuelectenerg-618	681	10	contains	contain	VERB
fuelectenerg-618	681	11	all	all	DET
fuelectenerg-618	681	12	functions	function	NOUN
fuelectenerg-618	681	13	which	which	PRON
fuelectenerg-618	681	14	are	be	AUX
fuelectenerg-618	681	15	smaller	small	ADJ
fuelectenerg-618	681	16	or	or	CCONJ
fuelectenerg-618	681	17	equal	equal	ADJ
fuelectenerg-618	681	18	to	to	ADP
fuelectenerg-618	681	19	the	the	DET
fuelectenerg-618	681	20	supremum	supremum	ADJ
fuelectenerg-618	681	21	function	function	NOUN
fuelectenerg-618	681	22	f1(x	f1(x	NOUN
fuelectenerg-618	681	23	)	)	PUNCT
fuelectenerg-618	681	24	and	and	CCONJ
fuelectenerg-618	681	25	greater	great	ADJ
fuelectenerg-618	681	26	or	or	CCONJ
fuelectenerg-618	681	27	equal	equal	ADJ
fuelectenerg-618	681	28	to	to	ADP
fuelectenerg-618	681	29	the	the	DET
fuelectenerg-618	681	30	infimum	infimum	ADJ
fuelectenerg-618	681	31	function	function	NOUN
fuelectenerg-618	681	32	f4(x	f4(x	NUM
fuelectenerg-618	681	33	)	)	PUNCT
fuelectenerg-618	681	34	.	.	PUNCT
fuelectenerg-618	682	1	4.2	4.2	NUM
fuelectenerg-618	682	2	generalized	generalize	VERB
fuelectenerg-618	682	3	lattices	lattice	NOUN
fuelectenerg-618	682	4	of	of	ADP
fuelectenerg-618	682	5	boolean	boolean	ADJ
fuelectenerg-618	682	6	functions	function	NOUN
fuelectenerg-618	682	7	each	each	DET
fuelectenerg-618	682	8	derivative	derivative	ADJ
fuelectenerg-618	682	9	operation	operation	NOUN
fuelectenerg-618	682	10	transforms	transform	VERB
fuelectenerg-618	682	11	a	a	DET
fuelectenerg-618	682	12	given	give	VERB
fuelectenerg-618	682	13	lattice	lattice	NOUN
fuelectenerg-618	682	14	of	of	ADP
fuelectenerg-618	682	15	boolean	boolean	ADJ
fuelectenerg-618	682	16	functions	function	NOUN
fuelectenerg-618	682	17	into	into	ADP
fuelectenerg-618	682	18	another	another	DET
fuelectenerg-618	682	19	lattice	lattice	NOUN
fuelectenerg-618	682	20	of	of	ADP
fuelectenerg-618	682	21	boolean	boolean	ADJ
fuelectenerg-618	682	22	functions	function	NOUN
fuelectenerg-618	682	23	.	.	PUNCT
fuelectenerg-618	683	1	the	the	DET
fuelectenerg-618	683	2	resulting	result	VERB
fuelectenerg-618	683	3	lattices	lattice	NOUN
fuelectenerg-618	683	4	are	be	AUX
fuelectenerg-618	683	5	more	more	ADV
fuelectenerg-618	683	6	general	general	ADJ
fuelectenerg-618	683	7	because	because	SCONJ
fuelectenerg-618	683	8	the	the	DET
fuelectenerg-618	683	9	function	function	NOUN
fuelectenerg-618	683	10	values	value	VERB
fuelectenerg-618	683	11	0	0	NUM
fuelectenerg-618	683	12	and	and	CCONJ
fuelectenerg-618	683	13	1	1	NUM
fuelectenerg-618	683	14	can	can	AUX
fuelectenerg-618	683	15	not	not	PART
fuelectenerg-618	683	16	only	only	ADV
fuelectenerg-618	683	17	be	be	AUX
fuelectenerg-618	683	18	chosen	choose	VERB
fuelectenerg-618	683	19	for	for	ADP
fuelectenerg-618	683	20	a	a	DET
fuelectenerg-618	683	21	single	single	ADJ
fuelectenerg-618	683	22	x	x	NOUN
fuelectenerg-618	683	23	-	-	NOUN
fuelectenerg-618	683	24	pattern	pattern	NOUN
fuelectenerg-618	683	25	,	,	PUNCT
fuelectenerg-618	683	26	but	but	CCONJ
fuelectenerg-618	683	27	also	also	ADV
fuelectenerg-618	683	28	for	for	ADP
fuelectenerg-618	683	29	boolean	boolean	ADJ
fuelectenerg-618	683	30	differential	differential	ADJ
fuelectenerg-618	683	31	equations	equation	NOUN
fuelectenerg-618	683	32	a	a	DET
fuelectenerg-618	683	33	common	common	ADJ
fuelectenerg-618	683	34	model	model	NOUN
fuelectenerg-618	683	35	for	for	ADP
fuelectenerg-618	683	36	classes	class	NOUN
fuelectenerg-618	683	37	,	,	PUNCT
fuelectenerg-618	683	38	lattices	lattice	NOUN
fuelectenerg-618	683	39	,	,	PUNCT
fuelectenerg-618	683	40	...	...	PUNCT
fuelectenerg-618	683	41	119	119	NUM
fuelectenerg-618	683	42	pairs	pair	NOUN
fuelectenerg-618	683	43	of	of	ADP
fuelectenerg-618	683	44	x	x	NOUN
fuelectenerg-618	683	45	-	-	NOUN
fuelectenerg-618	683	46	patterns	pattern	NOUN
fuelectenerg-618	683	47	.	.	PUNCT
fuelectenerg-618	684	1	the	the	DET
fuelectenerg-618	684	2	proof	proof	NOUN
fuelectenerg-618	684	3	that	that	SCONJ
fuelectenerg-618	684	4	all	all	DET
fuelectenerg-618	684	5	derivative	derivative	ADJ
fuelectenerg-618	684	6	operations	operation	NOUN
fuelectenerg-618	684	7	of	of	ADP
fuelectenerg-618	684	8	any	any	DET
fuelectenerg-618	684	9	lattice	lattice	NOUN
fuelectenerg-618	684	10	result	result	NOUN
fuelectenerg-618	684	11	in	in	ADP
fuelectenerg-618	684	12	such	such	DET
fuelectenerg-618	684	13	a	a	DET
fuelectenerg-618	684	14	generalized	generalized	ADJ
fuelectenerg-618	684	15	lattice	lattice	NOUN
fuelectenerg-618	684	16	is	be	AUX
fuelectenerg-618	684	17	given	give	VERB
fuelectenerg-618	684	18	for	for	ADP
fuelectenerg-618	684	19	the	the	DET
fuelectenerg-618	684	20	first	first	ADJ
fuelectenerg-618	684	21	time	time	NOUN
fuelectenerg-618	684	22	in	in	ADP
fuelectenerg-618	684	23	[	[	X
fuelectenerg-618	684	24	10	10	NUM
fuelectenerg-618	684	25	]	]	PUNCT
fuelectenerg-618	684	26	.	.	PUNCT
fuelectenerg-618	685	1	the	the	DET
fuelectenerg-618	685	2	generalized	generalize	VERB
fuelectenerg-618	685	3	lattices	lattice	NOUN
fuelectenerg-618	685	4	are	be	AUX
fuelectenerg-618	685	5	described	describe	VERB
fuelectenerg-618	685	6	in	in	ADP
fuelectenerg-618	685	7	[	[	X
fuelectenerg-618	685	8	10	10	NUM
fuelectenerg-618	685	9	]	]	PUNCT
fuelectenerg-618	685	10	by	by	ADP
fuelectenerg-618	685	11	the	the	DET
fuelectenerg-618	685	12	mark	mark	PROPN
fuelectenerg-618	685	13	function	function	PROPN
fuelectenerg-618	685	14	q(x	q(x	PROPN
fuelectenerg-618	685	15	)	)	PUNCT
fuelectenerg-618	685	16	and	and	CCONJ
fuelectenerg-618	685	17	r(x	r(x	PROPN
fuelectenerg-618	685	18	)	)	PUNCT
fuelectenerg-618	685	19	as	as	ADV
fuelectenerg-618	685	20	well	well	ADV
fuelectenerg-618	685	21	as	as	ADP
fuelectenerg-618	685	22	an	an	DET
fuelectenerg-618	685	23	independence	independence	NOUN
fuelectenerg-618	685	24	matrix	matrix	NOUN
fuelectenerg-618	685	25	(	(	PUNCT
fuelectenerg-618	685	26	idm	idm	NOUN
fuelectenerg-618	685	27	)	)	PUNCT
fuelectenerg-618	685	28	that	that	PRON
fuelectenerg-618	685	29	have	have	VERB
fuelectenerg-618	685	30	the	the	DET
fuelectenerg-618	685	31	shape	shape	NOUN
fuelectenerg-618	685	32	of	of	ADP
fuelectenerg-618	685	33	an	an	DET
fuelectenerg-618	685	34	echelon	echelon	NOUN
fuelectenerg-618	685	35	and	and	CCONJ
fuelectenerg-618	685	36	elements	element	NOUN
fuelectenerg-618	685	37	below	below	ADP
fuelectenerg-618	685	38	the	the	DET
fuelectenerg-618	685	39	main	main	ADJ
fuelectenerg-618	685	40	diagonal	diagonal	NOUN
fuelectenerg-618	685	41	are	be	AUX
fuelectenerg-618	685	42	equal	equal	ADJ
fuelectenerg-618	685	43	to	to	ADP
fuelectenerg-618	685	44	0	0	NUM
fuelectenerg-618	685	45	.	.	PUNCT
fuelectenerg-618	686	1	the	the	DET
fuelectenerg-618	686	2	idm	idm	NOUN
fuelectenerg-618	686	3	describes	describe	VERB
fuelectenerg-618	686	4	all	all	DET
fuelectenerg-618	686	5	independent	independent	ADJ
fuelectenerg-618	686	6	directions	direction	NOUN
fuelectenerg-618	686	7	of	of	ADP
fuelectenerg-618	686	8	change	change	NOUN
fuelectenerg-618	686	9	where	where	SCONJ
fuelectenerg-618	686	10	no	no	DET
fuelectenerg-618	686	11	function	function	NOUN
fuelectenerg-618	686	12	of	of	ADP
fuelectenerg-618	686	13	the	the	DET
fuelectenerg-618	686	14	lattice	lattice	NOUN
fuelectenerg-618	686	15	changes	change	VERB
fuelectenerg-618	686	16	its	its	PRON
fuelectenerg-618	686	17	values	value	NOUN
fuelectenerg-618	686	18	.	.	PUNCT
fuelectenerg-618	687	1	associated	associate	VERB
fuelectenerg-618	687	2	to	to	ADP
fuelectenerg-618	687	3	the	the	DET
fuelectenerg-618	687	4	independence	independence	NOUN
fuelectenerg-618	687	5	matrix	matrix	NOUN
fuelectenerg-618	687	6	idm	idm	NOUN
fuelectenerg-618	687	7	an	an	DET
fuelectenerg-618	687	8	independence	independence	NOUN
fuelectenerg-618	687	9	function	function	NOUN
fuelectenerg-618	687	10	f	f	PROPN
fuelectenerg-618	687	11	id(x	id(x	ADV
fuelectenerg-618	687	12	)	)	PUNCT
fuelectenerg-618	687	13	is	be	AUX
fuelectenerg-618	687	14	defined	define	VERB
fuelectenerg-618	687	15	in	in	ADP
fuelectenerg-618	687	16	[	[	X
fuelectenerg-618	687	17	10	10	NUM
fuelectenerg-618	687	18	]	]	PUNCT
fuelectenerg-618	687	19	.	.	PUNCT
fuelectenerg-618	688	1	knowing	know	VERB
fuelectenerg-618	688	2	the	the	DET
fuelectenerg-618	688	3	mark	mark	PROPN
fuelectenerg-618	688	4	functions	function	NOUN
fuelectenerg-618	688	5	q(x	q(x	NOUN
fuelectenerg-618	688	6	)	)	PUNCT
fuelectenerg-618	688	7	and	and	CCONJ
fuelectenerg-618	688	8	r(x	r(x	PROPN
fuelectenerg-618	688	9	)	)	PUNCT
fuelectenerg-618	688	10	and	and	CCONJ
fuelectenerg-618	688	11	the	the	DET
fuelectenerg-618	688	12	independence	independence	NOUN
fuelectenerg-618	688	13	function	function	VERB
fuelectenerg-618	688	14	f	f	PROPN
fuelectenerg-618	688	15	id(x	id(x	ADV
fuelectenerg-618	688	16	)	)	PUNCT
fuelectenerg-618	688	17	,	,	PUNCT
fuelectenerg-618	688	18	a	a	DET
fuelectenerg-618	688	19	boolean	boolean	ADJ
fuelectenerg-618	688	20	equation	equation	NOUN
fuelectenerg-618	688	21	given	give	VERB
fuelectenerg-618	688	22	in	in	ADP
fuelectenerg-618	688	23	[	[	NOUN
fuelectenerg-618	688	24	10	10	NUM
fuelectenerg-618	688	25	]	]	PUNCT
fuelectenerg-618	688	26	allows	allow	VERB
fuelectenerg-618	688	27	us	we	PRON
fuelectenerg-618	688	28	to	to	PART
fuelectenerg-618	688	29	check	check	VERB
fuelectenerg-618	688	30	for	for	ADP
fuelectenerg-618	688	31	each	each	DET
fuelectenerg-618	688	32	function	function	NOUN
fuelectenerg-618	688	33	f	f	PROPN
fuelectenerg-618	688	34	(	(	PUNCT
fuelectenerg-618	688	35	x	x	X
fuelectenerg-618	688	36	)	)	PUNCT
fuelectenerg-618	688	37	whether	whether	SCONJ
fuelectenerg-618	688	38	it	it	PRON
fuelectenerg-618	688	39	belongs	belong	VERB
fuelectenerg-618	688	40	to	to	ADP
fuelectenerg-618	688	41	the	the	DET
fuelectenerg-618	688	42	generalized	generalized	ADJ
fuelectenerg-618	688	43	lattice	lattice	NOUN
fuelectenerg-618	688	44	or	or	CCONJ
fuelectenerg-618	688	45	not	not	PART
fuelectenerg-618	688	46	.	.	PUNCT
fuelectenerg-618	689	1	instead	instead	ADV
fuelectenerg-618	689	2	of	of	ADP
fuelectenerg-618	689	3	the	the	DET
fuelectenerg-618	689	4	two	two	NUM
fuelectenerg-618	689	5	mark	mark	NOUN
fuelectenerg-618	689	6	functions	function	NOUN
fuelectenerg-618	689	7	and	and	CCONJ
fuelectenerg-618	689	8	the	the	DET
fuelectenerg-618	689	9	independence	independence	NOUN
fuelectenerg-618	689	10	matrix	matrix	NOUN
fuelectenerg-618	689	11	we	we	PRON
fuelectenerg-618	689	12	suggest	suggest	VERB
fuelectenerg-618	689	13	here	here	ADV
fuelectenerg-618	689	14	a	a	DET
fuelectenerg-618	689	15	single	single	ADJ
fuelectenerg-618	689	16	boolean	boolean	ADJ
fuelectenerg-618	689	17	differential	differential	NOUN
fuelectenerg-618	689	18	equation	equation	NOUN
fuelectenerg-618	689	19	to	to	PART
fuelectenerg-618	689	20	describe	describe	VERB
fuelectenerg-618	689	21	a	a	DET
fuelectenerg-618	689	22	generalized	generalized	ADJ
fuelectenerg-618	689	23	lattice	lattice	NOUN
fuelectenerg-618	689	24	of	of	ADP
fuelectenerg-618	689	25	boolean	boolean	ADJ
fuelectenerg-618	689	26	functions	function	NOUN
fuelectenerg-618	689	27	.	.	PUNCT
fuelectenerg-618	690	1	the	the	DET
fuelectenerg-618	690	2	directions	direction	NOUN
fuelectenerg-618	690	3	,	,	PUNCT
fuelectenerg-618	690	4	in	in	ADP
fuelectenerg-618	690	5	which	which	PRON
fuelectenerg-618	690	6	no	no	DET
fuelectenerg-618	690	7	function	function	NOUN
fuelectenerg-618	690	8	of	of	ADP
fuelectenerg-618	690	9	the	the	DET
fuelectenerg-618	690	10	lattice	lattice	NOUN
fuelectenerg-618	690	11	changes	change	VERB
fuelectenerg-618	690	12	its	its	PRON
fuelectenerg-618	690	13	values	value	NOUN
fuelectenerg-618	690	14	,	,	PUNCT
fuelectenerg-618	690	15	are	be	AUX
fuelectenerg-618	690	16	described	describe	VERB
fuelectenerg-618	690	17	in	in	ADP
fuelectenerg-618	690	18	a	a	DET
fuelectenerg-618	690	19	restrictive	restrictive	ADJ
fuelectenerg-618	690	20	bde	bde	NOUN
fuelectenerg-618	690	21	by	by	ADP
fuelectenerg-618	690	22	simple	simple	ADJ
fuelectenerg-618	690	23	and	and	CCONJ
fuelectenerg-618	690	24	vectorial	vectorial	ADJ
fuelectenerg-618	690	25	derivatives	derivative	NOUN
fuelectenerg-618	690	26	which	which	PRON
fuelectenerg-618	690	27	are	be	AUX
fuelectenerg-618	690	28	connected	connect	VERB
fuelectenerg-618	690	29	by	by	ADP
fuelectenerg-618	690	30	disjunctions	disjunction	NOUN
fuelectenerg-618	690	31	(	(	PUNCT
fuelectenerg-618	690	32	∨	∨	NOUN
fuelectenerg-618	690	33	):	):	PUNCT
fuelectenerg-618	690	34	n	n	PRON
fuelectenerg-618	690	35	∨	∨	NUM
fuelectenerg-618	690	36	i=1	i=1	PROPN
fuelectenerg-618	690	37	∂	∂	X
fuelectenerg-618	690	38	f	f	NOUN
fuelectenerg-618	690	39	(	(	PUNCT
fuelectenerg-618	690	40	x	x	X
fuelectenerg-618	690	41	)	)	PUNCT
fuelectenerg-618	690	42	∂x0i	∂x0i	NOUN
fuelectenerg-618	691	1	=	=	SYM
fuelectenerg-618	691	2	0	0	NUM
fuelectenerg-618	691	3	,	,	PUNCT
fuelectenerg-618	691	4	(	(	PUNCT
fuelectenerg-618	691	5	49	49	NUM
fuelectenerg-618	691	6	)	)	PUNCT
fuelectenerg-618	691	7	where	where	SCONJ
fuelectenerg-618	691	8	•	•	NOUN
fuelectenerg-618	691	9	i	i	PRON
fuelectenerg-618	691	10	is	be	AUX
fuelectenerg-618	691	11	the	the	DET
fuelectenerg-618	691	12	row	row	NOUN
fuelectenerg-618	691	13	index	index	NOUN
fuelectenerg-618	691	14	of	of	ADP
fuelectenerg-618	691	15	the	the	DET
fuelectenerg-618	691	16	idm	idm	NOUN
fuelectenerg-618	691	17	,	,	PUNCT
fuelectenerg-618	691	18	•	•	ADJ
fuelectenerg-618	691	19	values	value	NOUN
fuelectenerg-618	691	20	1	1	NUM
fuelectenerg-618	691	21	in	in	ADP
fuelectenerg-618	691	22	the	the	DET
fuelectenerg-618	691	23	row	row	NOUN
fuelectenerg-618	691	24	of	of	ADP
fuelectenerg-618	691	25	idm	idm	NOUN
fuelectenerg-618	691	26	specify	specify	VERB
fuelectenerg-618	691	27	the	the	DET
fuelectenerg-618	691	28	variables	variable	NOUN
fuelectenerg-618	691	29	of	of	ADP
fuelectenerg-618	691	30	x0i	x0i	PROPN
fuelectenerg-618	691	31	,	,	PUNCT
fuelectenerg-618	691	32	and	and	CCONJ
fuelectenerg-618	691	33	•	•	NUM
fuelectenerg-618	691	34	∂	∂	NUM
fuelectenerg-618	691	35	f	f	PROPN
fuelectenerg-618	691	36	(	(	PUNCT
fuelectenerg-618	691	37	x	x	X
fuelectenerg-618	691	38	)	)	PUNCT
fuelectenerg-618	691	39	∂x0i	∂x0i	NOUN
fuelectenerg-618	691	40	=	=	SYM
fuelectenerg-618	691	41	0	0	PUNCT
fuelectenerg-618	691	42	if	if	SCONJ
fuelectenerg-618	691	43	all	all	DET
fuelectenerg-618	691	44	elements	element	NOUN
fuelectenerg-618	691	45	of	of	ADP
fuelectenerg-618	691	46	the	the	DET
fuelectenerg-618	691	47	i	i	PROPN
fuelectenerg-618	691	48	-	-	PUNCT
fuelectenerg-618	691	49	th	th	VERB
fuelectenerg-618	691	50	row	row	NOUN
fuelectenerg-618	691	51	in	in	ADP
fuelectenerg-618	691	52	idm(f	idm(f	PROPN
fuelectenerg-618	691	53	)	)	PUNCT
fuelectenerg-618	691	54	are	be	AUX
fuelectenerg-618	691	55	equal	equal	ADJ
fuelectenerg-618	691	56	to	to	ADP
fuelectenerg-618	691	57	0	0	NUM
fuelectenerg-618	691	58	.	.	PUNCT
fuelectenerg-618	692	1	a	a	DET
fuelectenerg-618	692	2	bde	bde	PROPN
fuelectenerg-618	692	3	(	(	PUNCT
fuelectenerg-618	692	4	50	50	NUM
fuelectenerg-618	692	5	)	)	PUNCT
fuelectenerg-618	692	6	can	can	AUX
fuelectenerg-618	692	7	be	be	AUX
fuelectenerg-618	692	8	solved	solve	VERB
fuelectenerg-618	692	9	by	by	ADP
fuelectenerg-618	692	10	algorithm	algorithm	NOUN
fuelectenerg-618	692	11	1	1	NUM
fuelectenerg-618	692	12	,	,	PUNCT
fuelectenerg-618	692	13	and	and	CCONJ
fuelectenerg-618	692	14	the	the	DET
fuelectenerg-618	692	15	special	special	ADJ
fuelectenerg-618	692	16	structure	structure	NOUN
fuelectenerg-618	692	17	of	of	ADP
fuelectenerg-618	692	18	the	the	DET
fuelectenerg-618	692	19	bde	bde	PROPN
fuelectenerg-618	692	20	ensures	ensure	VERB
fuelectenerg-618	692	21	that	that	SCONJ
fuelectenerg-618	692	22	the	the	DET
fuelectenerg-618	692	23	set	set	NOUN
fuelectenerg-618	692	24	of	of	ADP
fuelectenerg-618	692	25	classes	class	NOUN
fuelectenerg-618	692	26	of	of	ADP
fuelectenerg-618	692	27	solution	solution	NOUN
fuelectenerg-618	692	28	function	function	NOUN
fuelectenerg-618	692	29	describes	describe	VERB
fuelectenerg-618	692	30	a	a	DET
fuelectenerg-618	692	31	lattice	lattice	NOUN
fuelectenerg-618	692	32	of	of	ADP
fuelectenerg-618	692	33	boolean	boolean	ADJ
fuelectenerg-618	692	34	functions	function	NOUN
fuelectenerg-618	692	35	.	.	PUNCT
fuelectenerg-618	693	1	example	example	NOUN
fuelectenerg-618	693	2	5	5	NUM
fuelectenerg-618	693	3	.	.	PUNCT
fuelectenerg-618	694	1	the	the	DET
fuelectenerg-618	694	2	generalized	generalized	ADJ
fuelectenerg-618	694	3	lattice	lattice	NOUN
fuelectenerg-618	694	4	of	of	ADP
fuelectenerg-618	694	5	the	the	DET
fuelectenerg-618	694	6	boolean	boolean	ADJ
fuelectenerg-618	694	7	function	function	NOUN
fuelectenerg-618	694	8	f	f	PROPN
fuelectenerg-618	694	9	(	(	PUNCT
fuelectenerg-618	694	10	x1,x2,x3	x1,x2,x3	PROPN
fuelectenerg-618	694	11	)	)	PUNCT
fuelectenerg-618	694	12	in	in	ADP
fuelectenerg-618	694	13	which	which	PRON
fuelectenerg-618	694	14	all	all	DET
fuelectenerg-618	694	15	functions	function	NOUN
fuelectenerg-618	694	16	do	do	AUX
fuelectenerg-618	694	17	not	not	PART
fuelectenerg-618	694	18	change	change	VERB
fuelectenerg-618	694	19	their	their	PRON
fuelectenerg-618	694	20	function	function	NOUN
fuelectenerg-618	694	21	values	value	NOUN
fuelectenerg-618	694	22	if	if	SCONJ
fuelectenerg-618	694	23	either	either	CCONJ
fuelectenerg-618	694	24	x1	x1	PROPN
fuelectenerg-618	694	25	and	and	CCONJ
fuelectenerg-618	694	26	x3	x3	ADJ
fuelectenerg-618	694	27	or	or	CCONJ
fuelectenerg-618	694	28	x2	x2	PROPN
fuelectenerg-618	694	29	and	and	CCONJ
fuelectenerg-618	694	30	x3	x3	PROPN
fuelectenerg-618	694	31	are	be	AUX
fuelectenerg-618	694	32	commonly	commonly	ADV
fuelectenerg-618	694	33	changed	change	VERB
fuelectenerg-618	694	34	at	at	ADP
fuelectenerg-618	694	35	the	the	DET
fuelectenerg-618	694	36	same	same	ADJ
fuelectenerg-618	694	37	point	point	NOUN
fuelectenerg-618	694	38	in	in	ADP
fuelectenerg-618	694	39	time	time	NOUN
fuelectenerg-618	694	40	can	can	AUX
fuelectenerg-618	694	41	be	be	AUX
fuelectenerg-618	694	42	described	describe	VERB
fuelectenerg-618	694	43	by	by	ADP
fuelectenerg-618	694	44	the	the	DET
fuelectenerg-618	694	45	bde	bde	PROPN
fuelectenerg-618	694	46	:	:	PUNCT
fuelectenerg-618	694	47	∂	∂	NUM
fuelectenerg-618	694	48	f	f	X
fuelectenerg-618	694	49	(	(	PUNCT
fuelectenerg-618	694	50	x	x	NOUN
fuelectenerg-618	694	51	)	)	PUNCT
fuelectenerg-618	694	52	∂	∂	NOUN
fuelectenerg-618	694	53	(	(	PUNCT
fuelectenerg-618	694	54	x1,x3	x1,x3	PROPN
fuelectenerg-618	694	55	)	)	PUNCT
fuelectenerg-618	694	56	∨	∨	PROPN
fuelectenerg-618	694	57	∂	∂	NUM
fuelectenerg-618	694	58	f	f	PROPN
fuelectenerg-618	694	59	(	(	PUNCT
fuelectenerg-618	694	60	x	x	NOUN
fuelectenerg-618	694	61	)	)	PUNCT
fuelectenerg-618	694	62	∂	∂	NOUN
fuelectenerg-618	694	63	(	(	PUNCT
fuelectenerg-618	694	64	x2,x3	x2,x3	PROPN
fuelectenerg-618	694	65	)	)	PUNCT
fuelectenerg-618	694	66	=	=	SYM
fuelectenerg-618	694	67	0	0	PUNCT
fuelectenerg-618	694	68	(	(	PUNCT
fuelectenerg-618	694	69	50	50	NUM
fuelectenerg-618	694	70	)	)	PUNCT
fuelectenerg-618	694	71	and	and	CCONJ
fuelectenerg-618	694	72	the	the	DET
fuelectenerg-618	694	73	associated	associated	ADJ
fuelectenerg-618	694	74	boolean	boolean	ADJ
fuelectenerg-618	694	75	equation	equation	NOUN
fuelectenerg-618	694	76	:	:	PUNCT
fuelectenerg-618	694	77	u5	u5	PROPN
fuelectenerg-618	694	78	∨u6	∨u6	PROPN
fuelectenerg-618	694	79	=	=	SYM
fuelectenerg-618	694	80	0	0	NUM
fuelectenerg-618	694	81	.	.	PUNCT
fuelectenerg-618	695	1	(	(	PUNCT
fuelectenerg-618	695	2	51	51	NUM
fuelectenerg-618	695	3	)	)	PUNCT
fuelectenerg-618	695	4	figure	figure	NOUN
fuelectenerg-618	695	5	6	6	NUM
fuelectenerg-618	695	6	shows	show	VERB
fuelectenerg-618	695	7	the	the	DET
fuelectenerg-618	695	8	prp	prp	NOUN
fuelectenerg-618	695	9	that	that	PRON
fuelectenerg-618	695	10	is	be	AUX
fuelectenerg-618	695	11	used	use	VERB
fuelectenerg-618	695	12	in	in	ADP
fuelectenerg-618	695	13	the	the	DET
fuelectenerg-618	695	14	xboole	xboole	NOUN
fuelectenerg-618	695	15	-	-	PUNCT
fuelectenerg-618	695	16	monitor	monitor	NOUN
fuelectenerg-618	695	17	to	to	PART
fuelectenerg-618	695	18	solve	solve	VERB
fuelectenerg-618	695	19	the	the	DET
fuelectenerg-618	695	20	bde	bde	PROPN
fuelectenerg-618	695	21	(	(	PUNCT
fuelectenerg-618	695	22	50	50	NUM
fuelectenerg-618	695	23	)	)	PUNCT
fuelectenerg-618	695	24	.	.	PUNCT
fuelectenerg-618	696	1	after	after	ADP
fuelectenerg-618	696	2	the	the	DET
fuelectenerg-618	696	3	definition	definition	NOUN
fuelectenerg-618	696	4	of	of	ADP
fuelectenerg-618	696	5	the	the	DET
fuelectenerg-618	696	6	boolean	boolean	ADJ
fuelectenerg-618	696	7	space	space	NOUN
fuelectenerg-618	696	8	b	b	PROPN
fuelectenerg-618	696	9	32	32	NUM
fuelectenerg-618	696	10	in	in	ADP
fuelectenerg-618	696	11	line	line	NOUN
fuelectenerg-618	696	12	1	1	NUM
fuelectenerg-618	696	13	;	;	PUNCT
fuelectenerg-618	696	14	the	the	DET
fuelectenerg-618	696	15	used	use	VERB
fuelectenerg-618	696	16	variables	variable	NOUN
fuelectenerg-618	696	17	are	be	AUX
fuelectenerg-618	696	18	68	68	NUM
fuelectenerg-618	696	19	b.	b.	NOUN
fuelectenerg-618	696	20	steinbach	steinbach	PROPN
fuelectenerg-618	696	21	,	,	PUNCT
fuelectenerg-618	696	22	c.	c.	PROPN
fuelectenerg-618	696	23	posthoff	posthoff	PROPN
fuelectenerg-618	696	24	boolean	boolean	ADJ
fuelectenerg-618	696	25	differential	differential	ADJ
fuelectenerg-618	696	26	equations	equation	NOUN
fuelectenerg-618	696	27	–	–	PUNCT
fuelectenerg-618	696	28	a	a	DET
fuelectenerg-618	696	29	common	common	ADJ
fuelectenerg-618	696	30	model	model	NOUN
fuelectenerg-618	696	31	for	for	ADP
fuelectenerg-618	696	32	classes	class	NOUN
fuelectenerg-618	696	33	,	,	PUNCT
fuelectenerg-618	696	34	lattices	lattice	NOUN
fuelectenerg-618	696	35	...	...	PUNCT
fuelectenerg-618	696	36	69	69	NUM
fuelectenerg-618	696	37	120	120	NUM
fuelectenerg-618	696	38	b.	b.	PROPN
fuelectenerg-618	696	39	steinbach	steinbach	PROPN
fuelectenerg-618	696	40	and	and	CCONJ
fuelectenerg-618	696	41	c.	c.	PROPN
fuelectenerg-618	696	42	posthoff	posthoff	VERB
fuelectenerg-618	696	43	1	1	NUM
fuelectenerg-618	696	44	s	s	VERB
fuelectenerg-618	696	45	p	p	NOUN
fuelectenerg-618	696	46	a	a	PRON
fuelectenerg-618	696	47	c	c	NOUN
fuelectenerg-618	696	48	e	e	NOUN
fuelectenerg-618	696	49	32	32	NUM
fuelectenerg-618	696	50	1	1	NUM
fuelectenerg-618	696	51	2	2	NUM
fuelectenerg-618	696	52	a	a	DET
fuelectenerg-618	696	53	v	v	NOUN
fuelectenerg-618	696	54	a	a	DET
fuelectenerg-618	696	55	r	r	NOUN
fuelectenerg-618	696	56	1	1	NUM
fuelectenerg-618	696	57	3	3	NUM
fuelectenerg-618	696	58	u0	u0	ADJ
fuelectenerg-618	696	59	u5	u5	PROPN
fuelectenerg-618	696	60	u6	u6	PROPN
fuelectenerg-618	696	61	4	4	NUM
fuelectenerg-618	696	62	v0	v0	NOUN
fuelectenerg-618	696	63	v1	v1	NOUN
fuelectenerg-618	696	64	v2	v2	PROPN
fuelectenerg-618	696	65	v3	v3	PROPN
fuelectenerg-618	696	66	v4	v4	PROPN
fuelectenerg-618	696	67	v5	v5	PROPN
fuelectenerg-618	696	68	v6	v6	NOUN
fuelectenerg-618	696	69	v7	v7	NOUN
fuelectenerg-618	696	70	.	.	PUNCT
fuelectenerg-618	697	1	5	5	NUM
fuelectenerg-618	697	2	sbe	sbe	VERB
fuelectenerg-618	697	3	1	1	NUM
fuelectenerg-618	697	4	1	1	NUM
fuelectenerg-618	697	5	6	6	NUM
fuelectenerg-618	697	6	u5+u6	u5+u6	NOUN
fuelectenerg-618	697	7	=	=	NOUN
fuelectenerg-618	697	8	0	0	NUM
fuelectenerg-618	697	9	.	.	PUNCT
fuelectenerg-618	697	10	7	7	NUM
fuelectenerg-618	697	11	sbe	sbe	NOUN
fuelectenerg-618	697	12	1	1	NUM
fuelectenerg-618	697	13	2	2	NUM
fuelectenerg-618	697	14	8	8	NUM
fuelectenerg-618	697	15	v0	v0	NOUN
fuelectenerg-618	697	16	=	=	SYM
fuelectenerg-618	697	17	u0	u0	ADJ
fuelectenerg-618	697	18	,	,	PUNCT
fuelectenerg-618	697	19	9	9	NUM
fuelectenerg-618	697	20	v5	v5	NOUN
fuelectenerg-618	697	21	=	=	NOUN
fuelectenerg-618	697	22	u0#u5	u0#u5	NOUN
fuelectenerg-618	697	23	,	,	PUNCT
fuelectenerg-618	697	24	10	10	NUM
fuelectenerg-618	697	25	v6	v6	NOUN
fuelectenerg-618	697	26	=	=	NOUN
fuelectenerg-618	697	27	u0#u6	u0#u6	NOUN
fuelectenerg-618	697	28	.	.	PUNCT
fuelectenerg-618	698	1	11	11	NUM
fuelectenerg-618	699	1	i	i	PRON
fuelectenerg-618	699	2	s	s	VERB
fuelectenerg-618	699	3	c	c	NOUN
fuelectenerg-618	699	4	1	1	NUM
fuelectenerg-618	699	5	2	2	NUM
fuelectenerg-618	699	6	3	3	NUM
fuelectenerg-618	699	7	12	12	NUM
fuelectenerg-618	699	8	v	v	NOUN
fuelectenerg-618	699	9	t	t	NOUN
fuelectenerg-618	700	1	i	i	PRON
fuelectenerg-618	700	2	n	n	PROPN
fuelectenerg-618	700	3	1	1	NUM
fuelectenerg-618	700	4	4	4	NUM
fuelectenerg-618	700	5	13	13	NUM
fuelectenerg-618	700	6	u0	u0	ADJ
fuelectenerg-618	700	7	u5	u5	PROPN
fuelectenerg-618	700	8	u6	u6	NOUN
fuelectenerg-618	700	9	.	.	PUNCT
fuelectenerg-618	701	1	14	14	NUM
fuelectenerg-618	701	2	maxk	maxk	NOUN
fuelectenerg-618	701	3	3	3	NUM
fuelectenerg-618	701	4	4	4	NUM
fuelectenerg-618	701	5	5	5	NUM
fuelectenerg-618	701	6	15	15	NUM
fuelectenerg-618	701	7	v	v	NOUN
fuelectenerg-618	701	8	t	t	NOUN
fuelectenerg-618	702	1	i	i	PRON
fuelectenerg-618	703	1	n	n	PROPN
fuelectenerg-618	704	1	1	1	NUM
fuelectenerg-618	704	2	6	6	NUM
fuelectenerg-618	704	3	16	16	NUM
fuelectenerg-618	704	4	v0	v0	NOUN
fuelectenerg-618	704	5	v2	v2	PROPN
fuelectenerg-618	704	6	v4	v4	PROPN
fuelectenerg-618	704	7	v6	v6	NOUN
fuelectenerg-618	704	8	.	.	PUNCT
fuelectenerg-618	705	1	17	17	NUM
fuelectenerg-618	705	2	v	v	NUM
fuelectenerg-618	705	3	t	t	NOUN
fuelectenerg-618	706	1	i	i	PRON
fuelectenerg-618	706	2	n	n	PROPN
fuelectenerg-618	706	3	1	1	NUM
fuelectenerg-618	706	4	7	7	NUM
fuelectenerg-618	706	5	18	18	NUM
fuelectenerg-618	706	6	v1	v1	NOUN
fuelectenerg-618	706	7	v3	v3	PROPN
fuelectenerg-618	706	8	v5	v5	PROPN
fuelectenerg-618	706	9	v7	v7	NOUN
fuelectenerg-618	706	10	.	.	PUNCT
fuelectenerg-618	707	1	19	19	NUM
fuelectenerg-618	707	2	cco	cco	PROPN
fuelectenerg-618	707	3	5	5	NUM
fuelectenerg-618	707	4	6	6	NUM
fuelectenerg-618	707	5	7	7	NUM
fuelectenerg-618	707	6	8	8	NUM
fuelectenerg-618	707	7	20	20	NUM
fuelectenerg-618	707	8	i	i	PRON
fuelectenerg-618	707	9	s	s	VERB
fuelectenerg-618	707	10	c	c	NOUN
fuelectenerg-618	707	11	5	5	NUM
fuelectenerg-618	707	12	8	8	NUM
fuelectenerg-618	707	13	5	5	NUM
fuelectenerg-618	707	14	21	21	NUM
fuelectenerg-618	707	15	v	v	NOUN
fuelectenerg-618	707	16	t	t	NOUN
fuelectenerg-618	708	1	i	i	PRON
fuelectenerg-618	708	2	n	n	PROPN
fuelectenerg-618	708	3	1	1	NUM
fuelectenerg-618	708	4	6	6	NUM
fuelectenerg-618	708	5	22	22	NUM
fuelectenerg-618	708	6	v0	v0	NOUN
fuelectenerg-618	708	7	v1	v1	NOUN
fuelectenerg-618	708	8	v4	v4	NOUN
fuelectenerg-618	708	9	v5	v5	PROPN
fuelectenerg-618	708	10	.	.	PUNCT
fuelectenerg-618	709	1	23	23	NUM
fuelectenerg-618	709	2	v	v	NUM
fuelectenerg-618	709	3	t	t	X
fuelectenerg-618	710	1	i	i	PRON
fuelectenerg-618	710	2	n	n	PROPN
fuelectenerg-618	710	3	1	1	NUM
fuelectenerg-618	710	4	7	7	NUM
fuelectenerg-618	710	5	24	24	NUM
fuelectenerg-618	710	6	v2	v2	PROPN
fuelectenerg-618	710	7	v3	v3	PROPN
fuelectenerg-618	710	8	v6	v6	PROPN
fuelectenerg-618	710	9	v7	v7	NOUN
fuelectenerg-618	710	10	.	.	PUNCT
fuelectenerg-618	711	1	25	25	NUM
fuelectenerg-618	711	2	cco	cco	PROPN
fuelectenerg-618	711	3	5	5	NUM
fuelectenerg-618	711	4	6	6	NUM
fuelectenerg-618	711	5	7	7	NUM
fuelectenerg-618	711	6	8	8	NUM
fuelectenerg-618	711	7	26	26	NUM
fuelectenerg-618	711	8	i	i	PRON
fuelectenerg-618	711	9	s	s	NOUN
fuelectenerg-618	711	10	c	c	NOUN
fuelectenerg-618	711	11	5	5	NUM
fuelectenerg-618	711	12	8	8	NUM
fuelectenerg-618	711	13	5	5	NUM
fuelectenerg-618	711	14	27	27	NUM
fuelectenerg-618	711	15	v	v	NOUN
fuelectenerg-618	711	16	t	t	NOUN
fuelectenerg-618	712	1	i	i	PRON
fuelectenerg-618	712	2	n	n	PROPN
fuelectenerg-618	712	3	1	1	NUM
fuelectenerg-618	712	4	6	6	NUM
fuelectenerg-618	712	5	28	28	NUM
fuelectenerg-618	712	6	v0	v0	NOUN
fuelectenerg-618	712	7	v1	v1	NOUN
fuelectenerg-618	712	8	v2	v2	PROPN
fuelectenerg-618	712	9	v3	v3	PROPN
fuelectenerg-618	712	10	.	.	PUNCT
fuelectenerg-618	713	1	29	29	NUM
fuelectenerg-618	713	2	v	v	NUM
fuelectenerg-618	713	3	t	t	NOUN
fuelectenerg-618	714	1	i	i	PRON
fuelectenerg-618	715	1	n	n	PROPN
fuelectenerg-618	716	1	1	1	NUM
fuelectenerg-618	716	2	7	7	NUM
fuelectenerg-618	716	3	30	30	NUM
fuelectenerg-618	716	4	v4	v4	NOUN
fuelectenerg-618	716	5	v5	v5	PROPN
fuelectenerg-618	716	6	v6	v6	NOUN
fuelectenerg-618	716	7	v7	v7	NOUN
fuelectenerg-618	716	8	.	.	PUNCT
fuelectenerg-618	717	1	31	31	NUM
fuelectenerg-618	717	2	cco	cco	PROPN
fuelectenerg-618	717	3	5	5	NUM
fuelectenerg-618	717	4	6	6	NUM
fuelectenerg-618	717	5	7	7	NUM
fuelectenerg-618	717	6	8	8	NUM
fuelectenerg-618	717	7	32	32	NUM
fuelectenerg-618	717	8	i	i	PRON
fuelectenerg-618	717	9	s	s	VERB
fuelectenerg-618	717	10	c	c	NOUN
fuelectenerg-618	717	11	5	5	NUM
fuelectenerg-618	717	12	8	8	NUM
fuelectenerg-618	717	13	5	5	NUM
fuelectenerg-618	717	14	fig	fig	NOUN
fuelectenerg-618	717	15	.	.	PUNCT
fuelectenerg-618	718	1	6	6	X
fuelectenerg-618	718	2	.	.	X
fuelectenerg-618	718	3	listing	list	VERB
fuelectenerg-618	718	4	of	of	ADP
fuelectenerg-618	718	5	the	the	DET
fuelectenerg-618	718	6	prp	prp	NOUN
fuelectenerg-618	718	7	to	to	PART
fuelectenerg-618	718	8	solve	solve	VERB
fuelectenerg-618	718	9	the	the	DET
fuelectenerg-618	718	10	bde	bde	PROPN
fuelectenerg-618	718	11	(	(	PUNCT
fuelectenerg-618	718	12	50	50	NUM
fuelectenerg-618	718	13	)	)	PUNCT
fuelectenerg-618	718	14	.	.	PUNCT
fuelectenerg-618	719	1	tab	tab	NOUN
fuelectenerg-618	719	2	.	.	PUNCT
fuelectenerg-618	720	1	6	6	NUM
fuelectenerg-618	720	2	.	.	PUNCT
fuelectenerg-618	720	3	solution	solution	NOUN
fuelectenerg-618	720	4	functions	function	NOUN
fuelectenerg-618	720	5	of	of	ADP
fuelectenerg-618	720	6	bde	bde	PROPN
fuelectenerg-618	720	7	(	(	PUNCT
fuelectenerg-618	720	8	50	50	NUM
fuelectenerg-618	720	9	)	)	PUNCT
fuelectenerg-618	720	10	v0	v0	NOUN
fuelectenerg-618	720	11	v1	v1	NOUN
fuelectenerg-618	720	12	v2	v2	PROPN
fuelectenerg-618	720	13	v3	v3	PROPN
fuelectenerg-618	720	14	v4	v4	PROPN
fuelectenerg-618	720	15	v5	v5	PROPN
fuelectenerg-618	720	16	v6	v6	NOUN
fuelectenerg-618	720	17	v7	v7	VERB
fuelectenerg-618	720	18	class	class	NOUN
fuelectenerg-618	720	19	1	1	NUM
fuelectenerg-618	720	20	class	class	NOUN
fuelectenerg-618	720	21	2	2	NUM
fuelectenerg-618	720	22	class	class	NOUN
fuelectenerg-618	720	23	3	3	NUM
fuelectenerg-618	720	24	1	1	NUM
fuelectenerg-618	720	25	1	1	NUM
fuelectenerg-618	720	26	1	1	NUM
fuelectenerg-618	720	27	1	1	NUM
fuelectenerg-618	720	28	1	1	NUM
fuelectenerg-618	720	29	1	1	NUM
fuelectenerg-618	720	30	1	1	NUM
fuelectenerg-618	720	31	1	1	NUM
fuelectenerg-618	720	32	f1(x	f1(x	NUM
fuelectenerg-618	720	33	)	)	PUNCT
fuelectenerg-618	720	34	=	=	SYM
fuelectenerg-618	721	1	1	1	NUM
fuelectenerg-618	721	2	1	1	NUM
fuelectenerg-618	721	3	0	0	NUM
fuelectenerg-618	721	4	0	0	NUM
fuelectenerg-618	721	5	1	1	NUM
fuelectenerg-618	721	6	0	0	NUM
fuelectenerg-618	721	7	1	1	NUM
fuelectenerg-618	721	8	1	1	NUM
fuelectenerg-618	721	9	0	0	NUM
fuelectenerg-618	721	10	f2(x	f2(x	NOUN
fuelectenerg-618	721	11	)	)	PUNCT
fuelectenerg-618	721	12	=	=	SYM
fuelectenerg-618	722	1	x1	x1	PROPN
fuelectenerg-618	722	2	⊕	⊕	PROPN
fuelectenerg-618	722	3	x2	x2	PROPN
fuelectenerg-618	722	4	⊕	⊕	PROPN
fuelectenerg-618	722	5	x3	x3	VERB
fuelectenerg-618	722	6	0	0	NUM
fuelectenerg-618	722	7	1	1	NUM
fuelectenerg-618	722	8	1	1	NUM
fuelectenerg-618	722	9	0	0	NUM
fuelectenerg-618	722	10	1	1	NUM
fuelectenerg-618	722	11	0	0	NUM
fuelectenerg-618	722	12	0	0	NUM
fuelectenerg-618	722	13	1	1	NUM
fuelectenerg-618	722	14	f3(x	f3(x	PROPN
fuelectenerg-618	722	15	)	)	PUNCT
fuelectenerg-618	722	16	=	=	SYM
fuelectenerg-618	723	1	x1	x1	PROPN
fuelectenerg-618	723	2	⊕	⊕	PROPN
fuelectenerg-618	723	3	x2	x2	PROPN
fuelectenerg-618	723	4	⊕	⊕	PROPN
fuelectenerg-618	723	5	x3	x3	VERB
fuelectenerg-618	723	6	0	0	NUM
fuelectenerg-618	723	7	0	0	NUM
fuelectenerg-618	723	8	0	0	NUM
fuelectenerg-618	723	9	0	0	NUM
fuelectenerg-618	723	10	0	0	NUM
fuelectenerg-618	723	11	0	0	NUM
fuelectenerg-618	723	12	0	0	NUM
fuelectenerg-618	723	13	0	0	NUM
fuelectenerg-618	723	14	f4(x	f4(x	NUM
fuelectenerg-618	723	15	)	)	PUNCT
fuelectenerg-618	723	16	=	=	SYM
fuelectenerg-618	723	17	0	0	NUM
fuelectenerg-618	724	1	defined	define	VERB
fuelectenerg-618	724	2	in	in	ADP
fuelectenerg-618	724	3	lines	line	NOUN
fuelectenerg-618	724	4	2	2	NUM
fuelectenerg-618	724	5	to	to	ADP
fuelectenerg-618	724	6	4	4	NUM
fuelectenerg-618	724	7	,	,	PUNCT
fuelectenerg-618	724	8	and	and	CCONJ
fuelectenerg-618	724	9	the	the	DET
fuelectenerg-618	724	10	associated	associated	ADJ
fuelectenerg-618	724	11	boolean	boolean	ADJ
fuelectenerg-618	724	12	equation	equation	NOUN
fuelectenerg-618	724	13	is	be	AUX
fuelectenerg-618	724	14	solved	solve	VERB
fuelectenerg-618	724	15	in	in	ADP
fuelectenerg-618	724	16	lines	line	NOUN
fuelectenerg-618	724	17	5	5	NUM
fuelectenerg-618	724	18	to	to	PART
fuelectenerg-618	724	19	6	6	NUM
fuelectenerg-618	724	20	.	.	PUNCT
fuelectenerg-618	725	1	the	the	DET
fuelectenerg-618	725	2	bde	bde	PROPN
fuelectenerg-618	725	3	(	(	PUNCT
fuelectenerg-618	725	4	50	50	NUM
fuelectenerg-618	725	5	)	)	PUNCT
fuelectenerg-618	725	6	contains	contain	VERB
fuelectenerg-618	725	7	only	only	ADV
fuelectenerg-618	725	8	two	two	NUM
fuelectenerg-618	725	9	vectorial	vectorial	ADJ
fuelectenerg-618	725	10	derivatives	derivative	NOUN
fuelectenerg-618	725	11	out	out	ADP
fuelectenerg-618	725	12	of	of	ADP
fuelectenerg-618	725	13	the	the	DET
fuelectenerg-618	725	14	vector	vector	NOUN
fuelectenerg-618	725	15	∇	∇	X
fuelectenerg-618	725	16	f	f	X
fuelectenerg-618	725	17	(	(	PUNCT
fuelectenerg-618	725	18	x	x	X
fuelectenerg-618	725	19	)	)	PUNCT
fuelectenerg-618	725	20	so	so	SCONJ
fuelectenerg-618	725	21	that	that	SCONJ
fuelectenerg-618	725	22	the	the	DET
fuelectenerg-618	725	23	transformation	transformation	NOUN
fuelectenerg-618	725	24	d2v	d2v	PROPN
fuelectenerg-618	725	25	can	can	AUX
fuelectenerg-618	725	26	be	be	AUX
fuelectenerg-618	725	27	restricted	restrict	VERB
fuelectenerg-618	725	28	to	to	ADP
fuelectenerg-618	725	29	the	the	DET
fuelectenerg-618	725	30	mapping	mapping	NOUN
fuelectenerg-618	725	31	of	of	ADP
fuelectenerg-618	725	32	u5	u5	PROPN
fuelectenerg-618	725	33	to	to	PART
fuelectenerg-618	725	34	v5	v5	PROPN
fuelectenerg-618	725	35	and	and	CCONJ
fuelectenerg-618	725	36	u6	u6	NOUN
fuelectenerg-618	725	37	to	to	PART
fuelectenerg-618	725	38	v6	v6	VERB
fuelectenerg-618	725	39	in	in	ADP
fuelectenerg-618	725	40	lines	line	NOUN
fuelectenerg-618	725	41	7	7	NUM
fuelectenerg-618	725	42	to	to	ADP
fuelectenerg-618	725	43	14	14	NUM
fuelectenerg-618	725	44	,	,	PUNCT
fuelectenerg-618	725	45	where	where	SCONJ
fuelectenerg-618	725	46	u0	u0	ADJ
fuelectenerg-618	725	47	is	be	AUX
fuelectenerg-618	725	48	needed	need	VERB
fuelectenerg-618	725	49	as	as	ADP
fuelectenerg-618	725	50	counterpart	counterpart	NOUN
fuelectenerg-618	725	51	to	to	ADP
fuelectenerg-618	725	52	v0	v0	PROPN
fuelectenerg-618	725	53	.	.	PUNCT
fuelectenerg-618	726	1	due	due	ADP
fuelectenerg-618	726	2	to	to	ADP
fuelectenerg-618	726	3	missing	miss	VERB
fuelectenerg-618	726	4	variables	variable	NOUN
fuelectenerg-618	726	5	xi	xi	ADP
fuelectenerg-618	726	6	algorithm	algorithm	PROPN
fuelectenerg-618	726	7	1	1	NUM
fuelectenerg-618	726	8	can	can	AUX
fuelectenerg-618	726	9	be	be	AUX
fuelectenerg-618	726	10	used	use	VERB
fuelectenerg-618	726	11	to	to	PART
fuelectenerg-618	726	12	separate	separate	VERB
fuelectenerg-618	726	13	the	the	DET
fuelectenerg-618	726	14	classes	class	NOUN
fuelectenerg-618	726	15	of	of	ADP
fuelectenerg-618	726	16	solution	solution	NOUN
fuelectenerg-618	726	17	functions	function	NOUN
fuelectenerg-618	726	18	.	.	PUNCT
fuelectenerg-618	727	1	all	all	DET
fuelectenerg-618	727	2	steps	step	NOUN
fuelectenerg-618	727	3	of	of	ADP
fuelectenerg-618	727	4	the	the	DET
fuelectenerg-618	727	5	loop	loop	NOUN
fuelectenerg-618	727	6	of	of	ADP
fuelectenerg-618	727	7	lines	line	NOUN
fuelectenerg-618	727	8	3	3	NUM
fuelectenerg-618	727	9	to	to	PART
fuelectenerg-618	727	10	6	6	NUM
fuelectenerg-618	727	11	of	of	ADP
fuelectenerg-618	727	12	algorithm	algorithm	NOUN
fuelectenerg-618	727	13	1	1	NUM
fuelectenerg-618	727	14	are	be	AUX
fuelectenerg-618	727	15	realized	realize	VERB
fuelectenerg-618	727	16	in	in	ADP
fuelectenerg-618	727	17	lines	line	NOUN
fuelectenerg-618	727	18	15	15	NUM
fuelectenerg-618	727	19	to	to	PART
fuelectenerg-618	727	20	32	32	NUM
fuelectenerg-618	727	21	of	of	ADP
fuelectenerg-618	727	22	the	the	DET
fuelectenerg-618	727	23	prp	prp	NOUN
fuelectenerg-618	727	24	in	in	ADP
fuelectenerg-618	727	25	figure	figure	NOUN
fuelectenerg-618	727	26	6	6	NUM
fuelectenerg-618	727	27	.	.	PUNCT
fuelectenerg-618	728	1	the	the	DET
fuelectenerg-618	728	2	lines	line	NOUN
fuelectenerg-618	728	3	15	15	NUM
fuelectenerg-618	728	4	to	to	PART
fuelectenerg-618	728	5	20	20	NUM
fuelectenerg-618	728	6	of	of	ADP
fuelectenerg-618	728	7	the	the	DET
fuelectenerg-618	728	8	prp	prp	NOUN
fuelectenerg-618	728	9	describe	describe	VERB
fuelectenerg-618	728	10	the	the	DET
fuelectenerg-618	728	11	first	first	ADJ
fuelectenerg-618	728	12	sweep	sweep	NOUN
fuelectenerg-618	728	13	of	of	ADP
fuelectenerg-618	728	14	this	this	DET
fuelectenerg-618	728	15	loop	loop	NOUN
fuelectenerg-618	728	16	for	for	ADP
fuelectenerg-618	728	17	the	the	DET
fuelectenerg-618	728	18	exchange	exchange	NOUN
fuelectenerg-618	728	19	of	of	ADP
fuelectenerg-618	728	20	x1	x1	PROPN
fuelectenerg-618	728	21	.	.	PUNCT
fuelectenerg-618	729	1	the	the	DET
fuelectenerg-618	729	2	indices	index	NOUN
fuelectenerg-618	729	3	of	of	ADP
fuelectenerg-618	729	4	the	the	DET
fuelectenerg-618	729	5	variables	variable	NOUN
fuelectenerg-618	729	6	vi	vi	PROPN
fuelectenerg-618	729	7	are	be	AUX
fuelectenerg-618	729	8	taken	take	VERB
fuelectenerg-618	729	9	from	from	ADP
fuelectenerg-618	729	10	the	the	DET
fuelectenerg-618	729	11	first	first	ADJ
fuelectenerg-618	729	12	four	four	NUM
fuelectenerg-618	729	13	rows	row	NOUN
fuelectenerg-618	729	14	of	of	ADP
fuelectenerg-618	729	15	column	column	NOUN
fuelectenerg-618	729	16	i	i	NOUN
fuelectenerg-618	729	17	=	=	NOUN
fuelectenerg-618	729	18	1	1	NUM
fuelectenerg-618	729	19	of	of	ADP
fuelectenerg-618	729	20	table	table	NOUN
fuelectenerg-618	729	21	3	3	NUM
fuelectenerg-618	729	22	where	where	SCONJ
fuelectenerg-618	729	23	the	the	DET
fuelectenerg-618	729	24	vt	vt	PROPN
fuelectenerg-618	729	25	6	6	NUM
fuelectenerg-618	729	26	uses	use	VERB
fuelectenerg-618	729	27	the	the	DET
fuelectenerg-618	729	28	left	left	ADJ
fuelectenerg-618	729	29	values	value	NOUN
fuelectenerg-618	729	30	and	and	CCONJ
fuelectenerg-618	729	31	the	the	DET
fuelectenerg-618	729	32	vt	vt	PROPN
fuelectenerg-618	729	33	7	7	NUM
fuelectenerg-618	729	34	the	the	DET
fuelectenerg-618	729	35	right	right	ADJ
fuelectenerg-618	729	36	values	value	NOUN
fuelectenerg-618	729	37	.	.	PUNCT
fuelectenerg-618	730	1	the	the	DET
fuelectenerg-618	730	2	intermediate	intermediate	ADJ
fuelectenerg-618	730	3	solution	solution	NOUN
fuelectenerg-618	730	4	of	of	ADP
fuelectenerg-618	730	5	this	this	DET
fuelectenerg-618	730	6	sweep	sweep	NOUN
fuelectenerg-618	730	7	is	be	AUX
fuelectenerg-618	730	8	stored	store	VERB
fuelectenerg-618	730	9	into	into	ADP
fuelectenerg-618	730	10	the	the	DET
fuelectenerg-618	730	11	same	same	ADJ
fuelectenerg-618	730	12	xboole	xboole	NOUN
fuelectenerg-618	730	13	-	-	PUNCT
fuelectenerg-618	730	14	object	object	NOUN
fuelectenerg-618	730	15	5	5	NUM
fuelectenerg-618	730	16	that	that	PRON
fuelectenerg-618	730	17	represents	represent	VERB
fuelectenerg-618	730	18	the	the	DET
fuelectenerg-618	730	19	function	function	NOUN
fuelectenerg-618	730	20	sls′	sls′	NOUN
fuelectenerg-618	730	21	of	of	ADP
fuelectenerg-618	730	22	algorithm	algorithm	NOUN
fuelectenerg-618	730	23	1	1	NUM
fuelectenerg-618	730	24	.	.	PUNCT
fuelectenerg-618	731	1	hence	hence	ADV
fuelectenerg-618	731	2	,	,	PUNCT
fuelectenerg-618	731	3	the	the	DET
fuelectenerg-618	731	4	fragment	fragment	NOUN
fuelectenerg-618	731	5	of	of	ADP
fuelectenerg-618	731	6	lines	line	NOUN
fuelectenerg-618	731	7	15	15	NUM
fuelectenerg-618	731	8	to	to	PART
fuelectenerg-618	731	9	20	20	NUM
fuelectenerg-618	731	10	of	of	ADP
fuelectenerg-618	731	11	the	the	DET
fuelectenerg-618	731	12	first	first	ADJ
fuelectenerg-618	731	13	sweep	sweep	NOUN
fuelectenerg-618	731	14	of	of	ADP
fuelectenerg-618	731	15	the	the	DET
fuelectenerg-618	731	16	loop	loop	NOUN
fuelectenerg-618	731	17	can	can	AUX
fuelectenerg-618	731	18	be	be	AUX
fuelectenerg-618	731	19	reused	reuse	VERB
fuelectenerg-618	731	20	in	in	ADP
fuelectenerg-618	731	21	lines	line	NOUN
fuelectenerg-618	731	22	21	21	NUM
fuelectenerg-618	731	23	to	to	PART
fuelectenerg-618	731	24	26	26	NUM
fuelectenerg-618	731	25	for	for	ADP
fuelectenerg-618	731	26	the	the	DET
fuelectenerg-618	731	27	second	second	ADJ
fuelectenerg-618	731	28	sweep	sweep	NOUN
fuelectenerg-618	731	29	with	with	ADP
fuelectenerg-618	731	30	regard	regard	NOUN
fuelectenerg-618	731	31	to	to	ADP
fuelectenerg-618	731	32	x2	x2	PROPN
fuelectenerg-618	731	33	and	and	CCONJ
fuelectenerg-618	731	34	the	the	DET
fuelectenerg-618	731	35	vts	vts	NOUN
fuelectenerg-618	731	36	specified	specify	VERB
fuelectenerg-618	731	37	by	by	ADP
fuelectenerg-618	731	38	column	column	NOUN
fuelectenerg-618	731	39	i=	i=	PROPN
fuelectenerg-618	731	40	2	2	NUM
fuelectenerg-618	731	41	of	of	ADP
fuelectenerg-618	731	42	table	table	NOUN
fuelectenerg-618	731	43	3	3	NUM
fuelectenerg-618	731	44	and	and	CCONJ
fuelectenerg-618	731	45	in	in	ADP
fuelectenerg-618	731	46	lines	line	NOUN
fuelectenerg-618	731	47	27	27	NUM
fuelectenerg-618	731	48	to	to	PART
fuelectenerg-618	731	49	32	32	NUM
fuelectenerg-618	731	50	for	for	ADP
fuelectenerg-618	731	51	the	the	DET
fuelectenerg-618	731	52	third	third	ADJ
fuelectenerg-618	731	53	sweep	sweep	NOUN
fuelectenerg-618	731	54	with	with	ADP
fuelectenerg-618	731	55	regard	regard	NOUN
fuelectenerg-618	731	56	to	to	ADP
fuelectenerg-618	731	57	x3	x3	VERB
fuelectenerg-618	731	58	and	and	CCONJ
fuelectenerg-618	731	59	the	the	DET
fuelectenerg-618	731	60	vts	vts	NOUN
fuelectenerg-618	731	61	specified	specify	VERB
fuelectenerg-618	731	62	by	by	ADP
fuelectenerg-618	731	63	column	column	NOUN
fuelectenerg-618	731	64	i=	i=	PROPN
fuelectenerg-618	731	65	3	3	NUM
fuelectenerg-618	731	66	of	of	ADP
fuelectenerg-618	731	67	table	table	NOUN
fuelectenerg-618	731	68	3	3	NUM
fuelectenerg-618	731	69	,	,	PUNCT
fuelectenerg-618	731	70	respectively	respectively	ADV
fuelectenerg-618	731	71	.	.	PUNCT
fuelectenerg-618	732	1	70	70	NUM
fuelectenerg-618	732	2	b.	b.	PROPN
fuelectenerg-618	732	3	steinbach	steinbach	PROPN
fuelectenerg-618	732	4	,	,	PUNCT
fuelectenerg-618	732	5	c.	c.	PROPN
fuelectenerg-618	732	6	posthoff	posthoff	PROPN
fuelectenerg-618	732	7	boolean	boolean	ADJ
fuelectenerg-618	732	8	differential	differential	ADJ
fuelectenerg-618	732	9	equations	equation	NOUN
fuelectenerg-618	732	10	–	–	PUNCT
fuelectenerg-618	732	11	a	a	DET
fuelectenerg-618	732	12	common	common	ADJ
fuelectenerg-618	732	13	model	model	NOUN
fuelectenerg-618	732	14	for	for	ADP
fuelectenerg-618	732	15	classes	class	NOUN
fuelectenerg-618	732	16	,	,	PUNCT
fuelectenerg-618	732	17	lattices	lattice	NOUN
fuelectenerg-618	732	18	...	...	PUNCT
fuelectenerg-618	732	19	71	71	NUM
fuelectenerg-618	732	20	120	120	NUM
fuelectenerg-618	732	21	b.	b.	NOUN
fuelectenerg-618	732	22	steinbach	steinbach	PROPN
fuelectenerg-618	732	23	and	and	CCONJ
fuelectenerg-618	732	24	c.	c.	PROPN
fuelectenerg-618	732	25	posthoff	posthoff	VERB
fuelectenerg-618	732	26	1	1	NUM
fuelectenerg-618	732	27	s	s	VERB
fuelectenerg-618	732	28	p	p	NOUN
fuelectenerg-618	732	29	a	a	PRON
fuelectenerg-618	732	30	c	c	NOUN
fuelectenerg-618	732	31	e	e	NOUN
fuelectenerg-618	732	32	32	32	NUM
fuelectenerg-618	732	33	1	1	NUM
fuelectenerg-618	732	34	2	2	NUM
fuelectenerg-618	732	35	a	a	DET
fuelectenerg-618	732	36	v	v	NOUN
fuelectenerg-618	732	37	a	a	DET
fuelectenerg-618	732	38	r	r	NOUN
fuelectenerg-618	732	39	1	1	NUM
fuelectenerg-618	732	40	3	3	NUM
fuelectenerg-618	732	41	u0	u0	ADJ
fuelectenerg-618	732	42	u5	u5	PROPN
fuelectenerg-618	732	43	u6	u6	PROPN
fuelectenerg-618	732	44	4	4	NUM
fuelectenerg-618	732	45	v0	v0	NOUN
fuelectenerg-618	732	46	v1	v1	NOUN
fuelectenerg-618	732	47	v2	v2	PROPN
fuelectenerg-618	732	48	v3	v3	PROPN
fuelectenerg-618	732	49	v4	v4	PROPN
fuelectenerg-618	732	50	v5	v5	PROPN
fuelectenerg-618	732	51	v6	v6	NOUN
fuelectenerg-618	732	52	v7	v7	NOUN
fuelectenerg-618	732	53	.	.	PUNCT
fuelectenerg-618	733	1	5	5	NUM
fuelectenerg-618	733	2	sbe	sbe	VERB
fuelectenerg-618	733	3	1	1	NUM
fuelectenerg-618	733	4	1	1	NUM
fuelectenerg-618	733	5	6	6	NUM
fuelectenerg-618	733	6	u5+u6	u5+u6	NOUN
fuelectenerg-618	733	7	=	=	NOUN
fuelectenerg-618	733	8	0	0	NUM
fuelectenerg-618	733	9	.	.	PUNCT
fuelectenerg-618	733	10	7	7	NUM
fuelectenerg-618	733	11	sbe	sbe	NOUN
fuelectenerg-618	733	12	1	1	NUM
fuelectenerg-618	733	13	2	2	NUM
fuelectenerg-618	733	14	8	8	NUM
fuelectenerg-618	733	15	v0	v0	NOUN
fuelectenerg-618	733	16	=	=	SYM
fuelectenerg-618	733	17	u0	u0	ADJ
fuelectenerg-618	733	18	,	,	PUNCT
fuelectenerg-618	733	19	9	9	NUM
fuelectenerg-618	733	20	v5	v5	NOUN
fuelectenerg-618	733	21	=	=	NOUN
fuelectenerg-618	733	22	u0#u5	u0#u5	NOUN
fuelectenerg-618	733	23	,	,	PUNCT
fuelectenerg-618	733	24	10	10	NUM
fuelectenerg-618	733	25	v6	v6	NOUN
fuelectenerg-618	733	26	=	=	NOUN
fuelectenerg-618	733	27	u0#u6	u0#u6	NOUN
fuelectenerg-618	733	28	.	.	PUNCT
fuelectenerg-618	734	1	11	11	NUM
fuelectenerg-618	735	1	i	i	PRON
fuelectenerg-618	735	2	s	s	VERB
fuelectenerg-618	735	3	c	c	NOUN
fuelectenerg-618	735	4	1	1	NUM
fuelectenerg-618	735	5	2	2	NUM
fuelectenerg-618	735	6	3	3	NUM
fuelectenerg-618	735	7	12	12	NUM
fuelectenerg-618	735	8	v	v	NOUN
fuelectenerg-618	735	9	t	t	NOUN
fuelectenerg-618	736	1	i	i	PRON
fuelectenerg-618	736	2	n	n	PROPN
fuelectenerg-618	736	3	1	1	NUM
fuelectenerg-618	736	4	4	4	NUM
fuelectenerg-618	736	5	13	13	NUM
fuelectenerg-618	736	6	u0	u0	ADJ
fuelectenerg-618	736	7	u5	u5	PROPN
fuelectenerg-618	736	8	u6	u6	NOUN
fuelectenerg-618	736	9	.	.	PUNCT
fuelectenerg-618	737	1	14	14	NUM
fuelectenerg-618	737	2	maxk	maxk	NOUN
fuelectenerg-618	737	3	3	3	NUM
fuelectenerg-618	737	4	4	4	NUM
fuelectenerg-618	737	5	5	5	NUM
fuelectenerg-618	737	6	15	15	NUM
fuelectenerg-618	737	7	v	v	NOUN
fuelectenerg-618	737	8	t	t	NOUN
fuelectenerg-618	738	1	i	i	PRON
fuelectenerg-618	739	1	n	n	PROPN
fuelectenerg-618	740	1	1	1	NUM
fuelectenerg-618	740	2	6	6	NUM
fuelectenerg-618	740	3	16	16	NUM
fuelectenerg-618	740	4	v0	v0	NOUN
fuelectenerg-618	740	5	v2	v2	PROPN
fuelectenerg-618	740	6	v4	v4	PROPN
fuelectenerg-618	740	7	v6	v6	NOUN
fuelectenerg-618	740	8	.	.	PUNCT
fuelectenerg-618	741	1	17	17	NUM
fuelectenerg-618	741	2	v	v	NUM
fuelectenerg-618	741	3	t	t	NOUN
fuelectenerg-618	742	1	i	i	PRON
fuelectenerg-618	742	2	n	n	PROPN
fuelectenerg-618	742	3	1	1	NUM
fuelectenerg-618	742	4	7	7	NUM
fuelectenerg-618	742	5	18	18	NUM
fuelectenerg-618	742	6	v1	v1	NOUN
fuelectenerg-618	742	7	v3	v3	PROPN
fuelectenerg-618	742	8	v5	v5	PROPN
fuelectenerg-618	742	9	v7	v7	NOUN
fuelectenerg-618	742	10	.	.	PUNCT
fuelectenerg-618	743	1	19	19	NUM
fuelectenerg-618	743	2	cco	cco	PROPN
fuelectenerg-618	743	3	5	5	NUM
fuelectenerg-618	743	4	6	6	NUM
fuelectenerg-618	743	5	7	7	NUM
fuelectenerg-618	743	6	8	8	NUM
fuelectenerg-618	743	7	20	20	NUM
fuelectenerg-618	743	8	i	i	PRON
fuelectenerg-618	743	9	s	s	VERB
fuelectenerg-618	743	10	c	c	NOUN
fuelectenerg-618	743	11	5	5	NUM
fuelectenerg-618	743	12	8	8	NUM
fuelectenerg-618	743	13	5	5	NUM
fuelectenerg-618	743	14	21	21	NUM
fuelectenerg-618	743	15	v	v	NOUN
fuelectenerg-618	743	16	t	t	NOUN
fuelectenerg-618	744	1	i	i	PRON
fuelectenerg-618	744	2	n	n	PROPN
fuelectenerg-618	744	3	1	1	NUM
fuelectenerg-618	744	4	6	6	NUM
fuelectenerg-618	744	5	22	22	NUM
fuelectenerg-618	744	6	v0	v0	NOUN
fuelectenerg-618	744	7	v1	v1	NOUN
fuelectenerg-618	744	8	v4	v4	NOUN
fuelectenerg-618	744	9	v5	v5	PROPN
fuelectenerg-618	744	10	.	.	PUNCT
fuelectenerg-618	745	1	23	23	NUM
fuelectenerg-618	745	2	v	v	NUM
fuelectenerg-618	745	3	t	t	X
fuelectenerg-618	746	1	i	i	PRON
fuelectenerg-618	746	2	n	n	PROPN
fuelectenerg-618	746	3	1	1	NUM
fuelectenerg-618	746	4	7	7	NUM
fuelectenerg-618	746	5	24	24	NUM
fuelectenerg-618	746	6	v2	v2	PROPN
fuelectenerg-618	746	7	v3	v3	PROPN
fuelectenerg-618	746	8	v6	v6	PROPN
fuelectenerg-618	746	9	v7	v7	NOUN
fuelectenerg-618	746	10	.	.	PUNCT
fuelectenerg-618	747	1	25	25	NUM
fuelectenerg-618	747	2	cco	cco	PROPN
fuelectenerg-618	747	3	5	5	NUM
fuelectenerg-618	747	4	6	6	NUM
fuelectenerg-618	747	5	7	7	NUM
fuelectenerg-618	747	6	8	8	NUM
fuelectenerg-618	747	7	26	26	NUM
fuelectenerg-618	747	8	i	i	PRON
fuelectenerg-618	747	9	s	s	NOUN
fuelectenerg-618	747	10	c	c	NOUN
fuelectenerg-618	747	11	5	5	NUM
fuelectenerg-618	747	12	8	8	NUM
fuelectenerg-618	747	13	5	5	NUM
fuelectenerg-618	747	14	27	27	NUM
fuelectenerg-618	747	15	v	v	NOUN
fuelectenerg-618	747	16	t	t	NOUN
fuelectenerg-618	748	1	i	i	PRON
fuelectenerg-618	748	2	n	n	PROPN
fuelectenerg-618	748	3	1	1	NUM
fuelectenerg-618	748	4	6	6	NUM
fuelectenerg-618	748	5	28	28	NUM
fuelectenerg-618	748	6	v0	v0	NOUN
fuelectenerg-618	748	7	v1	v1	NOUN
fuelectenerg-618	748	8	v2	v2	PROPN
fuelectenerg-618	748	9	v3	v3	PROPN
fuelectenerg-618	748	10	.	.	PUNCT
fuelectenerg-618	749	1	29	29	NUM
fuelectenerg-618	749	2	v	v	NUM
fuelectenerg-618	749	3	t	t	NOUN
fuelectenerg-618	750	1	i	i	PRON
fuelectenerg-618	751	1	n	n	PROPN
fuelectenerg-618	752	1	1	1	NUM
fuelectenerg-618	752	2	7	7	NUM
fuelectenerg-618	752	3	30	30	NUM
fuelectenerg-618	752	4	v4	v4	NOUN
fuelectenerg-618	752	5	v5	v5	PROPN
fuelectenerg-618	752	6	v6	v6	NOUN
fuelectenerg-618	752	7	v7	v7	NOUN
fuelectenerg-618	752	8	.	.	PUNCT
fuelectenerg-618	753	1	31	31	NUM
fuelectenerg-618	753	2	cco	cco	PROPN
fuelectenerg-618	753	3	5	5	NUM
fuelectenerg-618	753	4	6	6	NUM
fuelectenerg-618	753	5	7	7	NUM
fuelectenerg-618	753	6	8	8	NUM
fuelectenerg-618	753	7	32	32	NUM
fuelectenerg-618	753	8	i	i	PRON
fuelectenerg-618	753	9	s	s	VERB
fuelectenerg-618	753	10	c	c	NOUN
fuelectenerg-618	753	11	5	5	NUM
fuelectenerg-618	753	12	8	8	NUM
fuelectenerg-618	753	13	5	5	NUM
fuelectenerg-618	753	14	fig	fig	NOUN
fuelectenerg-618	753	15	.	.	PUNCT
fuelectenerg-618	754	1	6	6	X
fuelectenerg-618	754	2	.	.	X
fuelectenerg-618	754	3	listing	list	VERB
fuelectenerg-618	754	4	of	of	ADP
fuelectenerg-618	754	5	the	the	DET
fuelectenerg-618	754	6	prp	prp	NOUN
fuelectenerg-618	754	7	to	to	PART
fuelectenerg-618	754	8	solve	solve	VERB
fuelectenerg-618	754	9	the	the	DET
fuelectenerg-618	754	10	bde	bde	PROPN
fuelectenerg-618	754	11	(	(	PUNCT
fuelectenerg-618	754	12	50	50	NUM
fuelectenerg-618	754	13	)	)	PUNCT
fuelectenerg-618	754	14	.	.	PUNCT
fuelectenerg-618	755	1	tab	tab	NOUN
fuelectenerg-618	755	2	.	.	PUNCT
fuelectenerg-618	756	1	6	6	NUM
fuelectenerg-618	756	2	.	.	PUNCT
fuelectenerg-618	756	3	solution	solution	NOUN
fuelectenerg-618	756	4	functions	function	NOUN
fuelectenerg-618	756	5	of	of	ADP
fuelectenerg-618	756	6	bde	bde	PROPN
fuelectenerg-618	756	7	(	(	PUNCT
fuelectenerg-618	756	8	50	50	NUM
fuelectenerg-618	756	9	)	)	PUNCT
fuelectenerg-618	756	10	v0	v0	NOUN
fuelectenerg-618	756	11	v1	v1	NOUN
fuelectenerg-618	756	12	v2	v2	PROPN
fuelectenerg-618	756	13	v3	v3	PROPN
fuelectenerg-618	756	14	v4	v4	PROPN
fuelectenerg-618	756	15	v5	v5	PROPN
fuelectenerg-618	756	16	v6	v6	NOUN
fuelectenerg-618	756	17	v7	v7	VERB
fuelectenerg-618	756	18	class	class	NOUN
fuelectenerg-618	756	19	1	1	NUM
fuelectenerg-618	756	20	class	class	NOUN
fuelectenerg-618	756	21	2	2	NUM
fuelectenerg-618	756	22	class	class	NOUN
fuelectenerg-618	756	23	3	3	NUM
fuelectenerg-618	756	24	1	1	NUM
fuelectenerg-618	756	25	1	1	NUM
fuelectenerg-618	756	26	1	1	NUM
fuelectenerg-618	756	27	1	1	NUM
fuelectenerg-618	756	28	1	1	NUM
fuelectenerg-618	756	29	1	1	NUM
fuelectenerg-618	756	30	1	1	NUM
fuelectenerg-618	756	31	1	1	NUM
fuelectenerg-618	756	32	f1(x	f1(x	NUM
fuelectenerg-618	756	33	)	)	PUNCT
fuelectenerg-618	756	34	=	=	SYM
fuelectenerg-618	757	1	1	1	NUM
fuelectenerg-618	757	2	1	1	NUM
fuelectenerg-618	757	3	0	0	NUM
fuelectenerg-618	757	4	0	0	NUM
fuelectenerg-618	757	5	1	1	NUM
fuelectenerg-618	757	6	0	0	NUM
fuelectenerg-618	757	7	1	1	NUM
fuelectenerg-618	757	8	1	1	NUM
fuelectenerg-618	757	9	0	0	NUM
fuelectenerg-618	757	10	f2(x	f2(x	NOUN
fuelectenerg-618	757	11	)	)	PUNCT
fuelectenerg-618	757	12	=	=	SYM
fuelectenerg-618	758	1	x1	x1	PROPN
fuelectenerg-618	758	2	⊕	⊕	PROPN
fuelectenerg-618	758	3	x2	x2	PROPN
fuelectenerg-618	758	4	⊕	⊕	PROPN
fuelectenerg-618	758	5	x3	x3	VERB
fuelectenerg-618	758	6	0	0	NUM
fuelectenerg-618	758	7	1	1	NUM
fuelectenerg-618	758	8	1	1	NUM
fuelectenerg-618	758	9	0	0	NUM
fuelectenerg-618	758	10	1	1	NUM
fuelectenerg-618	758	11	0	0	NUM
fuelectenerg-618	758	12	0	0	NUM
fuelectenerg-618	758	13	1	1	NUM
fuelectenerg-618	758	14	f3(x	f3(x	PROPN
fuelectenerg-618	758	15	)	)	PUNCT
fuelectenerg-618	758	16	=	=	SYM
fuelectenerg-618	759	1	x1	x1	PROPN
fuelectenerg-618	759	2	⊕	⊕	PROPN
fuelectenerg-618	759	3	x2	x2	PROPN
fuelectenerg-618	759	4	⊕	⊕	PROPN
fuelectenerg-618	759	5	x3	x3	VERB
fuelectenerg-618	759	6	0	0	NUM
fuelectenerg-618	759	7	0	0	NUM
fuelectenerg-618	759	8	0	0	NUM
fuelectenerg-618	759	9	0	0	NUM
fuelectenerg-618	759	10	0	0	NUM
fuelectenerg-618	759	11	0	0	NUM
fuelectenerg-618	759	12	0	0	NUM
fuelectenerg-618	759	13	0	0	NUM
fuelectenerg-618	759	14	f4(x	f4(x	NUM
fuelectenerg-618	759	15	)	)	PUNCT
fuelectenerg-618	759	16	=	=	SYM
fuelectenerg-618	759	17	0	0	NUM
fuelectenerg-618	760	1	defined	define	VERB
fuelectenerg-618	760	2	in	in	ADP
fuelectenerg-618	760	3	lines	line	NOUN
fuelectenerg-618	760	4	2	2	NUM
fuelectenerg-618	760	5	to	to	ADP
fuelectenerg-618	760	6	4	4	NUM
fuelectenerg-618	760	7	,	,	PUNCT
fuelectenerg-618	760	8	and	and	CCONJ
fuelectenerg-618	760	9	the	the	DET
fuelectenerg-618	760	10	associated	associated	ADJ
fuelectenerg-618	760	11	boolean	boolean	ADJ
fuelectenerg-618	760	12	equation	equation	NOUN
fuelectenerg-618	760	13	is	be	AUX
fuelectenerg-618	760	14	solved	solve	VERB
fuelectenerg-618	760	15	in	in	ADP
fuelectenerg-618	760	16	lines	line	NOUN
fuelectenerg-618	760	17	5	5	NUM
fuelectenerg-618	760	18	to	to	PART
fuelectenerg-618	760	19	6	6	NUM
fuelectenerg-618	760	20	.	.	PUNCT
fuelectenerg-618	761	1	the	the	DET
fuelectenerg-618	761	2	bde	bde	PROPN
fuelectenerg-618	761	3	(	(	PUNCT
fuelectenerg-618	761	4	50	50	NUM
fuelectenerg-618	761	5	)	)	PUNCT
fuelectenerg-618	761	6	contains	contain	VERB
fuelectenerg-618	761	7	only	only	ADV
fuelectenerg-618	761	8	two	two	NUM
fuelectenerg-618	761	9	vectorial	vectorial	ADJ
fuelectenerg-618	761	10	derivatives	derivative	NOUN
fuelectenerg-618	761	11	out	out	ADP
fuelectenerg-618	761	12	of	of	ADP
fuelectenerg-618	761	13	the	the	DET
fuelectenerg-618	761	14	vector	vector	NOUN
fuelectenerg-618	761	15	∇	∇	X
fuelectenerg-618	761	16	f	f	X
fuelectenerg-618	761	17	(	(	PUNCT
fuelectenerg-618	761	18	x	x	X
fuelectenerg-618	761	19	)	)	PUNCT
fuelectenerg-618	761	20	so	so	SCONJ
fuelectenerg-618	761	21	that	that	SCONJ
fuelectenerg-618	761	22	the	the	DET
fuelectenerg-618	761	23	transformation	transformation	NOUN
fuelectenerg-618	761	24	d2v	d2v	PROPN
fuelectenerg-618	761	25	can	can	AUX
fuelectenerg-618	761	26	be	be	AUX
fuelectenerg-618	761	27	restricted	restrict	VERB
fuelectenerg-618	761	28	to	to	ADP
fuelectenerg-618	761	29	the	the	DET
fuelectenerg-618	761	30	mapping	mapping	NOUN
fuelectenerg-618	761	31	of	of	ADP
fuelectenerg-618	761	32	u5	u5	PROPN
fuelectenerg-618	761	33	to	to	PART
fuelectenerg-618	761	34	v5	v5	PROPN
fuelectenerg-618	761	35	and	and	CCONJ
fuelectenerg-618	761	36	u6	u6	NOUN
fuelectenerg-618	761	37	to	to	PART
fuelectenerg-618	761	38	v6	v6	VERB
fuelectenerg-618	761	39	in	in	ADP
fuelectenerg-618	761	40	lines	line	NOUN
fuelectenerg-618	761	41	7	7	NUM
fuelectenerg-618	761	42	to	to	ADP
fuelectenerg-618	761	43	14	14	NUM
fuelectenerg-618	761	44	,	,	PUNCT
fuelectenerg-618	761	45	where	where	SCONJ
fuelectenerg-618	761	46	u0	u0	ADJ
fuelectenerg-618	761	47	is	be	AUX
fuelectenerg-618	761	48	needed	need	VERB
fuelectenerg-618	761	49	as	as	ADP
fuelectenerg-618	761	50	counterpart	counterpart	NOUN
fuelectenerg-618	761	51	to	to	ADP
fuelectenerg-618	761	52	v0	v0	PROPN
fuelectenerg-618	761	53	.	.	PUNCT
fuelectenerg-618	762	1	due	due	ADP
fuelectenerg-618	762	2	to	to	ADP
fuelectenerg-618	762	3	missing	miss	VERB
fuelectenerg-618	762	4	variables	variable	NOUN
fuelectenerg-618	762	5	xi	xi	ADP
fuelectenerg-618	762	6	algorithm	algorithm	PROPN
fuelectenerg-618	762	7	1	1	NUM
fuelectenerg-618	762	8	can	can	AUX
fuelectenerg-618	762	9	be	be	AUX
fuelectenerg-618	762	10	used	use	VERB
fuelectenerg-618	762	11	to	to	PART
fuelectenerg-618	762	12	separate	separate	VERB
fuelectenerg-618	762	13	the	the	DET
fuelectenerg-618	762	14	classes	class	NOUN
fuelectenerg-618	762	15	of	of	ADP
fuelectenerg-618	762	16	solution	solution	NOUN
fuelectenerg-618	762	17	functions	function	NOUN
fuelectenerg-618	762	18	.	.	PUNCT
fuelectenerg-618	763	1	all	all	DET
fuelectenerg-618	763	2	steps	step	NOUN
fuelectenerg-618	763	3	of	of	ADP
fuelectenerg-618	763	4	the	the	DET
fuelectenerg-618	763	5	loop	loop	NOUN
fuelectenerg-618	763	6	of	of	ADP
fuelectenerg-618	763	7	lines	line	NOUN
fuelectenerg-618	763	8	3	3	NUM
fuelectenerg-618	763	9	to	to	PART
fuelectenerg-618	763	10	6	6	NUM
fuelectenerg-618	763	11	of	of	ADP
fuelectenerg-618	763	12	algorithm	algorithm	NOUN
fuelectenerg-618	763	13	1	1	NUM
fuelectenerg-618	763	14	are	be	AUX
fuelectenerg-618	763	15	realized	realize	VERB
fuelectenerg-618	763	16	in	in	ADP
fuelectenerg-618	763	17	lines	line	NOUN
fuelectenerg-618	763	18	15	15	NUM
fuelectenerg-618	763	19	to	to	PART
fuelectenerg-618	763	20	32	32	NUM
fuelectenerg-618	763	21	of	of	ADP
fuelectenerg-618	763	22	the	the	DET
fuelectenerg-618	763	23	prp	prp	NOUN
fuelectenerg-618	763	24	in	in	ADP
fuelectenerg-618	763	25	figure	figure	NOUN
fuelectenerg-618	763	26	6	6	NUM
fuelectenerg-618	763	27	.	.	PUNCT
fuelectenerg-618	764	1	the	the	DET
fuelectenerg-618	764	2	lines	line	NOUN
fuelectenerg-618	764	3	15	15	NUM
fuelectenerg-618	764	4	to	to	PART
fuelectenerg-618	764	5	20	20	NUM
fuelectenerg-618	764	6	of	of	ADP
fuelectenerg-618	764	7	the	the	DET
fuelectenerg-618	764	8	prp	prp	NOUN
fuelectenerg-618	764	9	describe	describe	VERB
fuelectenerg-618	764	10	the	the	DET
fuelectenerg-618	764	11	first	first	ADJ
fuelectenerg-618	764	12	sweep	sweep	NOUN
fuelectenerg-618	764	13	of	of	ADP
fuelectenerg-618	764	14	this	this	DET
fuelectenerg-618	764	15	loop	loop	NOUN
fuelectenerg-618	764	16	for	for	ADP
fuelectenerg-618	764	17	the	the	DET
fuelectenerg-618	764	18	exchange	exchange	NOUN
fuelectenerg-618	764	19	of	of	ADP
fuelectenerg-618	764	20	x1	x1	PROPN
fuelectenerg-618	764	21	.	.	PUNCT
fuelectenerg-618	765	1	the	the	DET
fuelectenerg-618	765	2	indices	index	NOUN
fuelectenerg-618	765	3	of	of	ADP
fuelectenerg-618	765	4	the	the	DET
fuelectenerg-618	765	5	variables	variable	NOUN
fuelectenerg-618	765	6	vi	vi	PROPN
fuelectenerg-618	765	7	are	be	AUX
fuelectenerg-618	765	8	taken	take	VERB
fuelectenerg-618	765	9	from	from	ADP
fuelectenerg-618	765	10	the	the	DET
fuelectenerg-618	765	11	first	first	ADJ
fuelectenerg-618	765	12	four	four	NUM
fuelectenerg-618	765	13	rows	row	NOUN
fuelectenerg-618	765	14	of	of	ADP
fuelectenerg-618	765	15	column	column	NOUN
fuelectenerg-618	765	16	i	i	NOUN
fuelectenerg-618	765	17	=	=	NOUN
fuelectenerg-618	765	18	1	1	NUM
fuelectenerg-618	765	19	of	of	ADP
fuelectenerg-618	765	20	table	table	NOUN
fuelectenerg-618	765	21	3	3	NUM
fuelectenerg-618	765	22	where	where	SCONJ
fuelectenerg-618	765	23	the	the	DET
fuelectenerg-618	765	24	vt	vt	PROPN
fuelectenerg-618	765	25	6	6	NUM
fuelectenerg-618	765	26	uses	use	VERB
fuelectenerg-618	765	27	the	the	DET
fuelectenerg-618	765	28	left	left	ADJ
fuelectenerg-618	765	29	values	value	NOUN
fuelectenerg-618	765	30	and	and	CCONJ
fuelectenerg-618	765	31	the	the	DET
fuelectenerg-618	765	32	vt	vt	PROPN
fuelectenerg-618	765	33	7	7	NUM
fuelectenerg-618	765	34	the	the	DET
fuelectenerg-618	765	35	right	right	ADJ
fuelectenerg-618	765	36	values	value	NOUN
fuelectenerg-618	765	37	.	.	PUNCT
fuelectenerg-618	766	1	the	the	DET
fuelectenerg-618	766	2	intermediate	intermediate	ADJ
fuelectenerg-618	766	3	solution	solution	NOUN
fuelectenerg-618	766	4	of	of	ADP
fuelectenerg-618	766	5	this	this	DET
fuelectenerg-618	766	6	sweep	sweep	NOUN
fuelectenerg-618	766	7	is	be	AUX
fuelectenerg-618	766	8	stored	store	VERB
fuelectenerg-618	766	9	into	into	ADP
fuelectenerg-618	766	10	the	the	DET
fuelectenerg-618	766	11	same	same	ADJ
fuelectenerg-618	766	12	xboole	xboole	NOUN
fuelectenerg-618	766	13	-	-	PUNCT
fuelectenerg-618	766	14	object	object	NOUN
fuelectenerg-618	766	15	5	5	NUM
fuelectenerg-618	766	16	that	that	PRON
fuelectenerg-618	766	17	represents	represent	VERB
fuelectenerg-618	766	18	the	the	DET
fuelectenerg-618	766	19	function	function	NOUN
fuelectenerg-618	766	20	sls′	sls′	NOUN
fuelectenerg-618	766	21	of	of	ADP
fuelectenerg-618	766	22	algorithm	algorithm	NOUN
fuelectenerg-618	766	23	1	1	NUM
fuelectenerg-618	766	24	.	.	PUNCT
fuelectenerg-618	767	1	hence	hence	ADV
fuelectenerg-618	767	2	,	,	PUNCT
fuelectenerg-618	767	3	the	the	DET
fuelectenerg-618	767	4	fragment	fragment	NOUN
fuelectenerg-618	767	5	of	of	ADP
fuelectenerg-618	767	6	lines	line	NOUN
fuelectenerg-618	767	7	15	15	NUM
fuelectenerg-618	767	8	to	to	PART
fuelectenerg-618	767	9	20	20	NUM
fuelectenerg-618	767	10	of	of	ADP
fuelectenerg-618	767	11	the	the	DET
fuelectenerg-618	767	12	first	first	ADJ
fuelectenerg-618	767	13	sweep	sweep	NOUN
fuelectenerg-618	767	14	of	of	ADP
fuelectenerg-618	767	15	the	the	DET
fuelectenerg-618	767	16	loop	loop	NOUN
fuelectenerg-618	767	17	can	can	AUX
fuelectenerg-618	767	18	be	be	AUX
fuelectenerg-618	767	19	reused	reuse	VERB
fuelectenerg-618	767	20	in	in	ADP
fuelectenerg-618	767	21	lines	line	NOUN
fuelectenerg-618	767	22	21	21	NUM
fuelectenerg-618	767	23	to	to	PART
fuelectenerg-618	767	24	26	26	NUM
fuelectenerg-618	767	25	for	for	ADP
fuelectenerg-618	767	26	the	the	DET
fuelectenerg-618	767	27	second	second	ADJ
fuelectenerg-618	767	28	sweep	sweep	NOUN
fuelectenerg-618	767	29	with	with	ADP
fuelectenerg-618	767	30	regard	regard	NOUN
fuelectenerg-618	767	31	to	to	ADP
fuelectenerg-618	767	32	x2	x2	PROPN
fuelectenerg-618	767	33	and	and	CCONJ
fuelectenerg-618	767	34	the	the	DET
fuelectenerg-618	767	35	vts	vts	NOUN
fuelectenerg-618	767	36	specified	specify	VERB
fuelectenerg-618	767	37	by	by	ADP
fuelectenerg-618	767	38	column	column	NOUN
fuelectenerg-618	767	39	i=	i=	PROPN
fuelectenerg-618	767	40	2	2	NUM
fuelectenerg-618	767	41	of	of	ADP
fuelectenerg-618	767	42	table	table	NOUN
fuelectenerg-618	767	43	3	3	NUM
fuelectenerg-618	767	44	and	and	CCONJ
fuelectenerg-618	767	45	in	in	ADP
fuelectenerg-618	767	46	lines	line	NOUN
fuelectenerg-618	767	47	27	27	NUM
fuelectenerg-618	767	48	to	to	PART
fuelectenerg-618	767	49	32	32	NUM
fuelectenerg-618	767	50	for	for	ADP
fuelectenerg-618	767	51	the	the	DET
fuelectenerg-618	767	52	third	third	ADJ
fuelectenerg-618	767	53	sweep	sweep	NOUN
fuelectenerg-618	767	54	with	with	ADP
fuelectenerg-618	767	55	regard	regard	NOUN
fuelectenerg-618	767	56	to	to	ADP
fuelectenerg-618	767	57	x3	x3	VERB
fuelectenerg-618	767	58	and	and	CCONJ
fuelectenerg-618	767	59	the	the	DET
fuelectenerg-618	767	60	vts	vts	NOUN
fuelectenerg-618	767	61	specified	specify	VERB
fuelectenerg-618	767	62	by	by	ADP
fuelectenerg-618	767	63	column	column	NOUN
fuelectenerg-618	767	64	i=	i=	PROPN
fuelectenerg-618	767	65	3	3	NUM
fuelectenerg-618	767	66	of	of	ADP
fuelectenerg-618	767	67	table	table	NOUN
fuelectenerg-618	767	68	3	3	NUM
fuelectenerg-618	767	69	,	,	PUNCT
fuelectenerg-618	767	70	respectively	respectively	ADV
fuelectenerg-618	767	71	.	.	PUNCT
fuelectenerg-618	768	1	boolean	boolean	ADJ
fuelectenerg-618	768	2	differential	differential	ADJ
fuelectenerg-618	768	3	equations	equation	NOUN
fuelectenerg-618	768	4	a	a	DET
fuelectenerg-618	768	5	common	common	ADJ
fuelectenerg-618	768	6	model	model	NOUN
fuelectenerg-618	768	7	for	for	ADP
fuelectenerg-618	768	8	classes	class	NOUN
fuelectenerg-618	768	9	,	,	PUNCT
fuelectenerg-618	768	10	lattices	lattice	NOUN
fuelectenerg-618	768	11	,	,	PUNCT
fuelectenerg-618	768	12	...	...	PUNCT
fuelectenerg-618	768	13	121	121	NUM
fuelectenerg-618	768	14	table	table	NOUN
fuelectenerg-618	768	15	6	6	NUM
fuelectenerg-618	768	16	enumerates	enumerate	VERB
fuelectenerg-618	768	17	the	the	DET
fuelectenerg-618	768	18	four	four	NUM
fuelectenerg-618	768	19	solution	solution	NOUN
fuelectenerg-618	768	20	functions	function	NOUN
fuelectenerg-618	768	21	of	of	ADP
fuelectenerg-618	768	22	the	the	DET
fuelectenerg-618	768	23	bde	bde	PROPN
fuelectenerg-618	768	24	(	(	PUNCT
fuelectenerg-618	768	25	50	50	NUM
fuelectenerg-618	768	26	)	)	PUNCT
fuelectenerg-618	768	27	calculated	calculate	VERB
fuelectenerg-618	768	28	by	by	ADP
fuelectenerg-618	768	29	the	the	DET
fuelectenerg-618	768	30	xboole	xboole	NOUN
fuelectenerg-618	768	31	-	-	PUNCT
fuelectenerg-618	768	32	monitor	monitor	NOUN
fuelectenerg-618	768	33	using	use	VERB
fuelectenerg-618	768	34	the	the	DET
fuelectenerg-618	768	35	prp	prp	NOUN
fuelectenerg-618	768	36	of	of	ADP
fuelectenerg-618	768	37	figure	figure	NOUN
fuelectenerg-618	768	38	6	6	NUM
fuelectenerg-618	768	39	.	.	PUNCT
fuelectenerg-618	769	1	the	the	DET
fuelectenerg-618	769	2	solution	solution	NOUN
fuelectenerg-618	769	3	of	of	ADP
fuelectenerg-618	769	4	the	the	DET
fuelectenerg-618	769	5	bde	bde	PROPN
fuelectenerg-618	769	6	(	(	PUNCT
fuelectenerg-618	769	7	50	50	NUM
fuelectenerg-618	769	8	)	)	PUNCT
fuelectenerg-618	769	9	consists	consist	VERB
fuelectenerg-618	769	10	of	of	ADP
fuelectenerg-618	769	11	three	three	NUM
fuelectenerg-618	769	12	classes	class	NOUN
fuelectenerg-618	769	13	of	of	ADP
fuelectenerg-618	769	14	boolean	boolean	ADJ
fuelectenerg-618	769	15	functions	function	NOUN
fuelectenerg-618	769	16	.	.	PUNCT
fuelectenerg-618	770	1	the	the	DET
fuelectenerg-618	770	2	class	class	NOUN
fuelectenerg-618	770	3	1	1	NUM
fuelectenerg-618	770	4	only	only	ADV
fuelectenerg-618	770	5	contains	contain	VERB
fuelectenerg-618	770	6	the	the	DET
fuelectenerg-618	770	7	function	function	NOUN
fuelectenerg-618	770	8	f1(x	f1(x	NOUN
fuelectenerg-618	770	9	)	)	PUNCT
fuelectenerg-618	770	10	=	=	SYM
fuelectenerg-618	770	11	1	1	NUM
fuelectenerg-618	770	12	that	that	PRON
fuelectenerg-618	770	13	is	be	AUX
fuelectenerg-618	770	14	the	the	DET
fuelectenerg-618	770	15	supremum	supremum	ADJ
fuelectenerg-618	770	16	r(x	r(x	NOUN
fuelectenerg-618	770	17	)	)	PUNCT
fuelectenerg-618	770	18	of	of	ADP
fuelectenerg-618	770	19	the	the	DET
fuelectenerg-618	770	20	lattice	lattice	NOUN
fuelectenerg-618	770	21	.	.	PUNCT
fuelectenerg-618	771	1	due	due	ADP
fuelectenerg-618	771	2	to	to	ADP
fuelectenerg-618	771	3	(	(	PUNCT
fuelectenerg-618	771	4	24	24	NUM
fuelectenerg-618	771	5	)	)	PUNCT
fuelectenerg-618	771	6	a	a	DET
fuelectenerg-618	771	7	solution	solution	NOUN
fuelectenerg-618	771	8	class	class	NOUN
fuelectenerg-618	771	9	in	in	ADP
fuelectenerg-618	771	10	b	b	NOUN
fuelectenerg-618	771	11	3	3	NUM
fuelectenerg-618	771	12	generally	generally	ADV
fuelectenerg-618	771	13	contains	contain	VERB
fuelectenerg-618	771	14	23	23	NUM
fuelectenerg-618	771	15	=	=	SYM
fuelectenerg-618	771	16	8	8	NUM
fuelectenerg-618	771	17	functions	function	NOUN
fuelectenerg-618	771	18	.	.	PUNCT
fuelectenerg-618	772	1	two	two	NUM
fuelectenerg-618	772	2	times	time	NOUN
fuelectenerg-618	772	3	four	four	NUM
fuelectenerg-618	772	4	of	of	ADP
fuelectenerg-618	772	5	these	these	DET
fuelectenerg-618	772	6	functions	function	NOUN
fuelectenerg-618	772	7	are	be	AUX
fuelectenerg-618	772	8	identical	identical	ADJ
fuelectenerg-618	772	9	in	in	ADP
fuelectenerg-618	772	10	case	case	NOUN
fuelectenerg-618	772	11	of	of	ADP
fuelectenerg-618	772	12	class	class	NOUN
fuelectenerg-618	772	13	2	2	NUM
fuelectenerg-618	772	14	:	:	PUNCT
fuelectenerg-618	772	15	f2(x	f2(x	NUM
fuelectenerg-618	772	16	)	)	PUNCT
fuelectenerg-618	772	17	=	=	SYM
fuelectenerg-618	773	1	x1	x1	PROPN
fuelectenerg-618	773	2	⊕	⊕	PROPN
fuelectenerg-618	773	3	x2	x2	PROPN
fuelectenerg-618	773	4	⊕	⊕	PROPN
fuelectenerg-618	773	5	x3	x3	PROPN
fuelectenerg-618	774	1	=	=	SYM
fuelectenerg-618	775	1	x1	x1	PROPN
fuelectenerg-618	775	2	⊕	⊕	PROPN
fuelectenerg-618	775	3	x2	x2	PROPN
fuelectenerg-618	775	4	⊕	⊕	PROPN
fuelectenerg-618	775	5	x3	x3	PROPN
fuelectenerg-618	776	1	=	=	SYM
fuelectenerg-618	777	1	x1	x1	PROPN
fuelectenerg-618	777	2	⊕	⊕	PROPN
fuelectenerg-618	777	3	x2	x2	PROPN
fuelectenerg-618	777	4	⊕	⊕	PROPN
fuelectenerg-618	777	5	x3	x3	PROPN
fuelectenerg-618	778	1	=	=	SYM
fuelectenerg-618	779	1	x1	x1	PROPN
fuelectenerg-618	779	2	⊕	⊕	PROPN
fuelectenerg-618	779	3	x2	x2	PROPN
fuelectenerg-618	779	4	⊕	⊕	PROPN
fuelectenerg-618	779	5	x3	x3	VERB
fuelectenerg-618	779	6	,	,	PUNCT
fuelectenerg-618	779	7	f3(x	f3(x	X
fuelectenerg-618	779	8	)	)	PUNCT
fuelectenerg-618	779	9	=	=	SYM
fuelectenerg-618	780	1	x1	x1	PROPN
fuelectenerg-618	780	2	⊕	⊕	PROPN
fuelectenerg-618	780	3	x2	x2	PROPN
fuelectenerg-618	780	4	⊕	⊕	PROPN
fuelectenerg-618	780	5	x3	x3	PROPN
fuelectenerg-618	781	1	=	=	SYM
fuelectenerg-618	782	1	x1	x1	PROPN
fuelectenerg-618	782	2	⊕	⊕	PROPN
fuelectenerg-618	782	3	x2	x2	PROPN
fuelectenerg-618	782	4	⊕	⊕	PROPN
fuelectenerg-618	782	5	x3	x3	PROPN
fuelectenerg-618	783	1	=	=	SYM
fuelectenerg-618	784	1	x1	x1	PROPN
fuelectenerg-618	784	2	⊕	⊕	PROPN
fuelectenerg-618	784	3	x2	x2	PROPN
fuelectenerg-618	784	4	⊕	⊕	PROPN
fuelectenerg-618	784	5	x3	x3	PROPN
fuelectenerg-618	785	1	=	=	SYM
fuelectenerg-618	786	1	x1	x1	PROPN
fuelectenerg-618	786	2	⊕	⊕	PROPN
fuelectenerg-618	786	3	x2	x2	PROPN
fuelectenerg-618	786	4	⊕	⊕	PROPN
fuelectenerg-618	786	5	x3	x3	VERB
fuelectenerg-618	786	6	.	.	PUNCT
fuelectenerg-618	787	1	the	the	DET
fuelectenerg-618	787	2	class	class	NOUN
fuelectenerg-618	787	3	3	3	NUM
fuelectenerg-618	787	4	only	only	ADV
fuelectenerg-618	787	5	contains	contain	VERB
fuelectenerg-618	787	6	the	the	DET
fuelectenerg-618	787	7	function	function	NOUN
fuelectenerg-618	787	8	f4(x	f4(x	NOUN
fuelectenerg-618	787	9	)	)	PUNCT
fuelectenerg-618	787	10	=	=	SYM
fuelectenerg-618	787	11	0	0	NUM
fuelectenerg-618	788	1	that	that	PRON
fuelectenerg-618	788	2	is	be	AUX
fuelectenerg-618	788	3	the	the	DET
fuelectenerg-618	788	4	infimum	infimum	ADJ
fuelectenerg-618	788	5	q(x	q(x	NOUN
fuelectenerg-618	788	6	)	)	PUNCT
fuelectenerg-618	788	7	of	of	ADP
fuelectenerg-618	788	8	the	the	DET
fuelectenerg-618	788	9	lattice	lattice	NOUN
fuelectenerg-618	788	10	.	.	PUNCT
fuelectenerg-618	789	1	the	the	DET
fuelectenerg-618	789	2	solution	solution	NOUN
fuelectenerg-618	789	3	lattice	lattice	NOUN
fuelectenerg-618	789	4	contains	contain	VERB
fuelectenerg-618	789	5	only	only	ADV
fuelectenerg-618	789	6	two	two	NUM
fuelectenerg-618	789	7	of	of	ADP
fuelectenerg-618	789	8	28	28	NUM
fuelectenerg-618	789	9	−	−	NUM
fuelectenerg-618	789	10	2	2	NUM
fuelectenerg-618	789	11	=	=	SYM
fuelectenerg-618	789	12	254	254	NUM
fuelectenerg-618	789	13	functions	function	NOUN
fuelectenerg-618	789	14	of	of	ADP
fuelectenerg-618	789	15	b	b	NOUN
fuelectenerg-618	789	16	3	3	NUM
fuelectenerg-618	789	17	which	which	PRON
fuelectenerg-618	789	18	are	be	AUX
fuelectenerg-618	789	19	greater	great	ADJ
fuelectenerg-618	789	20	than	than	ADP
fuelectenerg-618	789	21	q(x	q(x	NOUN
fuelectenerg-618	789	22	)	)	PUNCT
fuelectenerg-618	789	23	=	=	SYM
fuelectenerg-618	789	24	0	0	NUM
fuelectenerg-618	789	25	and	and	CCONJ
fuelectenerg-618	789	26	smaller	small	ADJ
fuelectenerg-618	789	27	than	than	ADP
fuelectenerg-618	789	28	r(x	r(x	PROPN
fuelectenerg-618	789	29	)	)	PUNCT
fuelectenerg-618	789	30	=	=	SYM
fuelectenerg-618	790	1	1	1	X
fuelectenerg-618	790	2	.	.	PUNCT
fuelectenerg-618	791	1	nevertheless	nevertheless	ADV
fuelectenerg-618	791	2	,	,	PUNCT
fuelectenerg-618	791	3	the	the	DET
fuelectenerg-618	791	4	four	four	NUM
fuelectenerg-618	791	5	function	function	NOUN
fuelectenerg-618	791	6	of	of	ADP
fuelectenerg-618	791	7	table	table	NOUN
fuelectenerg-618	791	8	6	6	NUM
fuelectenerg-618	791	9	constitute	constitute	VERB
fuelectenerg-618	791	10	a	a	DET
fuelectenerg-618	791	11	lattice	lattice	NOUN
fuelectenerg-618	791	12	—	—	PUNCT
fuelectenerg-618	791	13	both	both	CCONJ
fuelectenerg-618	791	14	the	the	DET
fuelectenerg-618	791	15	conjunction	conjunction	NOUN
fuelectenerg-618	791	16	and	and	CCONJ
fuelectenerg-618	791	17	the	the	DET
fuelectenerg-618	791	18	disjunction	disjunction	NOUN
fuelectenerg-618	791	19	of	of	ADP
fuelectenerg-618	791	20	any	any	DET
fuelectenerg-618	791	21	pair	pair	NOUN
fuelectenerg-618	791	22	of	of	ADP
fuelectenerg-618	791	23	these	these	DET
fuelectenerg-618	791	24	function	function	NOUN
fuelectenerg-618	791	25	result	result	NOUN
fuelectenerg-618	791	26	in	in	ADP
fuelectenerg-618	791	27	one	one	NUM
fuelectenerg-618	791	28	of	of	ADP
fuelectenerg-618	791	29	these	these	DET
fuelectenerg-618	791	30	functions	function	NOUN
fuelectenerg-618	791	31	.	.	PUNCT
fuelectenerg-618	792	1	it	it	PRON
fuelectenerg-618	792	2	should	should	AUX
fuelectenerg-618	792	3	be	be	AUX
fuelectenerg-618	792	4	mentioned	mention	VERB
fuelectenerg-618	792	5	that	that	SCONJ
fuelectenerg-618	792	6	there	there	PRON
fuelectenerg-618	792	7	are	be	VERB
fuelectenerg-618	792	8	four	four	NUM
fuelectenerg-618	792	9	different	different	ADJ
fuelectenerg-618	792	10	bde	bde	NOUN
fuelectenerg-618	792	11	having	have	VERB
fuelectenerg-618	792	12	the	the	DET
fuelectenerg-618	792	13	same	same	ADJ
fuelectenerg-618	792	14	lattice	lattice	NOUN
fuelectenerg-618	792	15	of	of	ADP
fuelectenerg-618	792	16	solutions	solution	NOUN
fuelectenerg-618	792	17	shown	show	VERB
fuelectenerg-618	792	18	in	in	ADP
fuelectenerg-618	792	19	table	table	NOUN
fuelectenerg-618	792	20	6	6	NUM
fuelectenerg-618	792	21	.	.	PUNCT
fuelectenerg-618	793	1	the	the	DET
fuelectenerg-618	793	2	most	most	ADV
fuelectenerg-618	793	3	extended	extended	ADJ
fuelectenerg-618	793	4	bde	bde	NOUN
fuelectenerg-618	793	5	with	with	ADP
fuelectenerg-618	793	6	this	this	DET
fuelectenerg-618	793	7	solution	solution	NOUN
fuelectenerg-618	793	8	lattice	lattice	NOUN
fuelectenerg-618	793	9	is	be	AUX
fuelectenerg-618	793	10	:	:	PUNCT
fuelectenerg-618	793	11	∂	∂	NUM
fuelectenerg-618	793	12	f	f	X
fuelectenerg-618	793	13	(	(	PUNCT
fuelectenerg-618	793	14	x	x	NOUN
fuelectenerg-618	793	15	)	)	PUNCT
fuelectenerg-618	793	16	∂	∂	NUM
fuelectenerg-618	793	17	(	(	PUNCT
fuelectenerg-618	793	18	x1,x2	x1,x2	PROPN
fuelectenerg-618	793	19	)	)	PUNCT
fuelectenerg-618	793	20	∨	∨	PROPN
fuelectenerg-618	793	21	∂	∂	NOUN
fuelectenerg-618	793	22	f	f	PROPN
fuelectenerg-618	793	23	(	(	PUNCT
fuelectenerg-618	793	24	x	x	NOUN
fuelectenerg-618	793	25	)	)	PUNCT
fuelectenerg-618	793	26	∂	∂	NOUN
fuelectenerg-618	793	27	(	(	PUNCT
fuelectenerg-618	793	28	x1,x3	x1,x3	PROPN
fuelectenerg-618	793	29	)	)	PUNCT
fuelectenerg-618	793	30	∨	∨	PROPN
fuelectenerg-618	793	31	∂	∂	NUM
fuelectenerg-618	793	32	f	f	PROPN
fuelectenerg-618	793	33	(	(	PUNCT
fuelectenerg-618	793	34	x	x	NOUN
fuelectenerg-618	793	35	)	)	PUNCT
fuelectenerg-618	793	36	∂	∂	NOUN
fuelectenerg-618	793	37	(	(	PUNCT
fuelectenerg-618	793	38	x2,x3	x2,x3	PROPN
fuelectenerg-618	793	39	)	)	PUNCT
fuelectenerg-618	793	40	=	=	SYM
fuelectenerg-618	793	41	0	0	X
fuelectenerg-618	793	42	.	.	PUNCT
fuelectenerg-618	794	1	(	(	PUNCT
fuelectenerg-618	794	2	52	52	NUM
fuelectenerg-618	794	3	)	)	PUNCT
fuelectenerg-618	794	4	the	the	DET
fuelectenerg-618	794	5	equivalent	equivalent	ADJ
fuelectenerg-618	794	6	other	other	ADJ
fuelectenerg-618	794	7	three	three	NUM
fuelectenerg-618	794	8	bde	bde	NOUN
fuelectenerg-618	794	9	with	with	ADP
fuelectenerg-618	794	10	the	the	DET
fuelectenerg-618	794	11	same	same	ADJ
fuelectenerg-618	794	12	solution	solution	NOUN
fuelectenerg-618	794	13	are	be	AUX
fuelectenerg-618	794	14	built	build	VERB
fuelectenerg-618	794	15	by	by	ADP
fuelectenerg-618	794	16	omitting	omit	VERB
fuelectenerg-618	794	17	one	one	NUM
fuelectenerg-618	794	18	of	of	ADP
fuelectenerg-618	794	19	the	the	DET
fuelectenerg-618	794	20	three	three	NUM
fuelectenerg-618	794	21	vectorial	vectorial	ADJ
fuelectenerg-618	794	22	derivatives	derivative	NOUN
fuelectenerg-618	794	23	:	:	PUNCT
fuelectenerg-618	794	24	∂	∂	NUM
fuelectenerg-618	794	25	f	f	X
fuelectenerg-618	794	26	(	(	PUNCT
fuelectenerg-618	794	27	x	x	NOUN
fuelectenerg-618	794	28	)	)	PUNCT
fuelectenerg-618	794	29	∂	∂	NOUN
fuelectenerg-618	794	30	(	(	PUNCT
fuelectenerg-618	794	31	x1,x3	x1,x3	PROPN
fuelectenerg-618	794	32	)	)	PUNCT
fuelectenerg-618	794	33	∨	∨	PROPN
fuelectenerg-618	794	34	∂	∂	NUM
fuelectenerg-618	794	35	f	f	PROPN
fuelectenerg-618	794	36	(	(	PUNCT
fuelectenerg-618	794	37	x	x	NOUN
fuelectenerg-618	794	38	)	)	PUNCT
fuelectenerg-618	794	39	∂	∂	NOUN
fuelectenerg-618	794	40	(	(	PUNCT
fuelectenerg-618	794	41	x2,x3	x2,x3	PROPN
fuelectenerg-618	794	42	)	)	PUNCT
fuelectenerg-618	794	43	=	=	SYM
fuelectenerg-618	794	44	0	0	NUM
fuelectenerg-618	794	45	,	,	PUNCT
fuelectenerg-618	794	46	(	(	PUNCT
fuelectenerg-618	794	47	53	53	NUM
fuelectenerg-618	794	48	)	)	PUNCT
fuelectenerg-618	794	49	∂	∂	NOUN
fuelectenerg-618	794	50	f	f	NOUN
fuelectenerg-618	794	51	(	(	PUNCT
fuelectenerg-618	794	52	x	x	NOUN
fuelectenerg-618	794	53	)	)	PUNCT
fuelectenerg-618	794	54	∂	∂	NUM
fuelectenerg-618	794	55	(	(	PUNCT
fuelectenerg-618	794	56	x1,x2	x1,x2	PROPN
fuelectenerg-618	794	57	)	)	PUNCT
fuelectenerg-618	795	1	∨	∨	PROPN
fuelectenerg-618	795	2	∂	∂	NOUN
fuelectenerg-618	795	3	f	f	PROPN
fuelectenerg-618	795	4	(	(	PUNCT
fuelectenerg-618	795	5	x	x	NOUN
fuelectenerg-618	795	6	)	)	PUNCT
fuelectenerg-618	795	7	∂	∂	NOUN
fuelectenerg-618	795	8	(	(	PUNCT
fuelectenerg-618	795	9	x2,x3	x2,x3	PROPN
fuelectenerg-618	795	10	)	)	PUNCT
fuelectenerg-618	795	11	=	=	SYM
fuelectenerg-618	795	12	0	0	NUM
fuelectenerg-618	795	13	,	,	PUNCT
fuelectenerg-618	795	14	(	(	PUNCT
fuelectenerg-618	795	15	54	54	NUM
fuelectenerg-618	795	16	)	)	PUNCT
fuelectenerg-618	795	17	∂	∂	NUM
fuelectenerg-618	795	18	f	f	NOUN
fuelectenerg-618	795	19	(	(	PUNCT
fuelectenerg-618	795	20	x	x	NOUN
fuelectenerg-618	795	21	)	)	PUNCT
fuelectenerg-618	795	22	∂	∂	NUM
fuelectenerg-618	795	23	(	(	PUNCT
fuelectenerg-618	795	24	x1,x2	x1,x2	PROPN
fuelectenerg-618	795	25	)	)	PUNCT
fuelectenerg-618	795	26	∨	∨	PROPN
fuelectenerg-618	795	27	∂	∂	NOUN
fuelectenerg-618	795	28	f	f	PROPN
fuelectenerg-618	795	29	(	(	PUNCT
fuelectenerg-618	795	30	x	x	NOUN
fuelectenerg-618	795	31	)	)	PUNCT
fuelectenerg-618	795	32	∂	∂	NUM
fuelectenerg-618	795	33	(	(	PUNCT
fuelectenerg-618	795	34	x1,x3	x1,x3	PROPN
fuelectenerg-618	795	35	)	)	PUNCT
fuelectenerg-618	795	36	=	=	SYM
fuelectenerg-618	795	37	0	0	NUM
fuelectenerg-618	795	38	,	,	PUNCT
fuelectenerg-618	795	39	(	(	PUNCT
fuelectenerg-618	795	40	55	55	NUM
fuelectenerg-618	795	41	)	)	PUNCT
fuelectenerg-618	795	42	where	where	SCONJ
fuelectenerg-618	795	43	(	(	PUNCT
fuelectenerg-618	795	44	53	53	NUM
fuelectenerg-618	795	45	)	)	PUNCT
fuelectenerg-618	795	46	is	be	AUX
fuelectenerg-618	795	47	identical	identical	ADJ
fuelectenerg-618	795	48	with	with	ADP
fuelectenerg-618	795	49	(	(	PUNCT
fuelectenerg-618	795	50	50	50	NUM
fuelectenerg-618	795	51	)	)	PUNCT
fuelectenerg-618	795	52	and	and	CCONJ
fuelectenerg-618	795	53	used	use	VERB
fuelectenerg-618	795	54	in	in	ADP
fuelectenerg-618	795	55	example	example	NOUN
fuelectenerg-618	795	56	5	5	NUM
fuelectenerg-618	795	57	.	.	PUNCT
fuelectenerg-618	796	1	the	the	DET
fuelectenerg-618	796	2	reason	reason	NOUN
fuelectenerg-618	796	3	for	for	ADP
fuelectenerg-618	796	4	these	these	DET
fuelectenerg-618	796	5	alternative	alternative	ADJ
fuelectenerg-618	796	6	bde	bde	NOUN
fuelectenerg-618	796	7	with	with	ADP
fuelectenerg-618	796	8	the	the	DET
fuelectenerg-618	796	9	same	same	ADJ
fuelectenerg-618	796	10	solution	solution	NOUN
fuelectenerg-618	796	11	lattice	lattice	NOUN
fuelectenerg-618	796	12	is	be	AUX
fuelectenerg-618	796	13	that	that	SCONJ
fuelectenerg-618	796	14	only	only	ADV
fuelectenerg-618	796	15	two	two	NUM
fuelectenerg-618	796	16	of	of	ADP
fuelectenerg-618	796	17	the	the	DET
fuelectenerg-618	796	18	three	three	NUM
fuelectenerg-618	796	19	directions	direction	NOUN
fuelectenerg-618	796	20	of	of	ADP
fuelectenerg-618	796	21	change	change	NOUN
fuelectenerg-618	796	22	in	in	ADP
fuelectenerg-618	796	23	(	(	PUNCT
fuelectenerg-618	796	24	52	52	NUM
fuelectenerg-618	796	25	)	)	PUNCT
fuelectenerg-618	796	26	of	of	ADP
fuelectenerg-618	796	27	the	the	DET
fuelectenerg-618	796	28	vectorial	vectorial	ADJ
fuelectenerg-618	796	29	derivatives	derivative	NOUN
fuelectenerg-618	796	30	are	be	AUX
fuelectenerg-618	796	31	linearly	linearly	ADV
fuelectenerg-618	796	32	independent	independent	ADJ
fuelectenerg-618	796	33	.	.	PUNCT
fuelectenerg-618	797	1	two	two	NUM
fuelectenerg-618	797	2	algorithms	algorithm	NOUN
fuelectenerg-618	797	3	in	in	ADP
fuelectenerg-618	797	4	[	[	X
fuelectenerg-618	797	5	10	10	NUM
fuelectenerg-618	797	6	]	]	PUNCT
fuelectenerg-618	797	7	describe	describe	VERB
fuelectenerg-618	797	8	how	how	SCONJ
fuelectenerg-618	797	9	the	the	DET
fuelectenerg-618	797	10	unique	unique	ADJ
fuelectenerg-618	797	11	independent	independent	ADJ
fuelectenerg-618	797	12	directions	direction	NOUN
fuelectenerg-618	797	13	of	of	ADP
fuelectenerg-618	797	14	change	change	NOUN
fuelectenerg-618	797	15	can	can	AUX
fuelectenerg-618	797	16	be	be	AUX
fuelectenerg-618	797	17	found	find	VERB
fuelectenerg-618	797	18	.	.	PUNCT
fuelectenerg-618	798	1	the	the	DET
fuelectenerg-618	798	2	bde	bde	PROPN
fuelectenerg-618	798	3	(	(	PUNCT
fuelectenerg-618	798	4	53	53	NUM
fuelectenerg-618	798	5	)	)	PUNCT
fuelectenerg-618	798	6	is	be	AUX
fuelectenerg-618	798	7	the	the	DET
fuelectenerg-618	798	8	unique	unique	ADJ
fuelectenerg-618	798	9	representative	representative	ADJ
fuelectenerg-618	798	10	bde	bde	NOUN
fuelectenerg-618	798	11	for	for	ADP
fuelectenerg-618	798	12	the	the	DET
fuelectenerg-618	798	13	solution	solution	NOUN
fuelectenerg-618	798	14	lattice	lattice	NOUN
fuelectenerg-618	798	15	of	of	ADP
fuelectenerg-618	798	16	table	table	NOUN
fuelectenerg-618	798	17	6	6	NUM
fuelectenerg-618	798	18	.	.	PUNCT
fuelectenerg-618	798	19	example	example	NOUN
fuelectenerg-618	798	20	5	5	NUM
fuelectenerg-618	798	21	explores	explore	VERB
fuelectenerg-618	798	22	a	a	DET
fuelectenerg-618	798	23	generalized	generalized	ADJ
fuelectenerg-618	798	24	lattice	lattice	NOUN
fuelectenerg-618	798	25	with	with	ADP
fuelectenerg-618	798	26	the	the	DET
fuelectenerg-618	798	27	special	special	ADJ
fuelectenerg-618	798	28	mark	mark	NOUN
fuelectenerg-618	798	29	functions	function	NOUN
fuelectenerg-618	798	30	q(x	q(x	PROPN
fuelectenerg-618	798	31	)	)	PUNCT
fuelectenerg-618	798	32	=	=	SYM
fuelectenerg-618	798	33	0	0	NUM
fuelectenerg-618	798	34	and	and	CCONJ
fuelectenerg-618	798	35	r(x	r(x	PROPN
fuelectenerg-618	798	36	)	)	PUNCT
fuelectenerg-618	798	37	=	=	SYM
fuelectenerg-618	798	38	0	0	NUM
fuelectenerg-618	798	39	,	,	PUNCT
fuelectenerg-618	798	40	in	in	ADP
fuelectenerg-618	798	41	order	order	NOUN
fuelectenerg-618	798	42	to	to	PART
fuelectenerg-618	798	43	emphasize	emphasize	VERB
fuelectenerg-618	798	44	that	that	SCONJ
fuelectenerg-618	798	45	only	only	ADV
fuelectenerg-618	798	46	a	a	DET
fuelectenerg-618	798	47	special	special	ADJ
fuelectenerg-618	798	48	subset	subset	NOUN
fuelectenerg-618	798	49	of	of	ADP
fuelectenerg-618	798	50	functions	function	NOUN
fuelectenerg-618	798	51	between	between	ADP
fuelectenerg-618	798	52	these	these	DET
fuelectenerg-618	798	53	two	two	NUM
fuelectenerg-618	798	54	mark	mark	NOUN
fuelectenerg-618	798	55	function	function	NOUN
fuelectenerg-618	798	56	belong	belong	VERB
fuelectenerg-618	798	57	to	to	ADP
fuelectenerg-618	798	58	the	the	DET
fuelectenerg-618	798	59	lattice	lattice	NOUN
fuelectenerg-618	798	60	.	.	PUNCT
fuelectenerg-618	799	1	however	however	ADV
fuelectenerg-618	799	2	,	,	PUNCT
fuelectenerg-618	799	3	this	this	DET
fuelectenerg-618	799	4	restriction	restriction	NOUN
fuelectenerg-618	799	5	is	be	AUX
fuelectenerg-618	799	6	not	not	PART
fuelectenerg-618	799	7	necessary	necessary	ADJ
fuelectenerg-618	799	8	.	.	PUNCT
fuelectenerg-618	800	1	the	the	DET
fuelectenerg-618	800	2	bde	bde	PROPN
fuelectenerg-618	800	3	(	(	PUNCT
fuelectenerg-618	800	4	46	46	NUM
fuelectenerg-618	800	5	)	)	PUNCT
fuelectenerg-618	800	6	can	can	AUX
fuelectenerg-618	800	7	be	be	AUX
fuelectenerg-618	800	8	combined	combine	VERB
fuelectenerg-618	800	9	with	with	ADP
fuelectenerg-618	800	10	the	the	DET
fuelectenerg-618	800	11	bde	bde	PROPN
fuelectenerg-618	800	12	(	(	PUNCT
fuelectenerg-618	800	13	49	49	NUM
fuelectenerg-618	800	14	)	)	PUNCT
fuelectenerg-618	800	15	to	to	ADP
fuelectenerg-618	800	16	the	the	DET
fuelectenerg-618	800	17	bde	bde	PROPN
fuelectenerg-618	800	18	of	of	ADP
fuelectenerg-618	800	19	a	a	DET
fuelectenerg-618	800	20	most	most	ADV
fuelectenerg-618	800	21	70	70	NUM
fuelectenerg-618	800	22	b.	b.	NOUN
fuelectenerg-618	800	23	steinbach	steinbach	PROPN
fuelectenerg-618	800	24	,	,	PUNCT
fuelectenerg-618	800	25	c.	c.	PROPN
fuelectenerg-618	800	26	posthoff	posthoff	PROPN
fuelectenerg-618	800	27	boolean	boolean	ADJ
fuelectenerg-618	800	28	differential	differential	ADJ
fuelectenerg-618	800	29	equations	equation	NOUN
fuelectenerg-618	800	30	–	–	PUNCT
fuelectenerg-618	800	31	a	a	DET
fuelectenerg-618	800	32	common	common	ADJ
fuelectenerg-618	800	33	model	model	NOUN
fuelectenerg-618	800	34	for	for	ADP
fuelectenerg-618	800	35	classes	class	NOUN
fuelectenerg-618	800	36	,	,	PUNCT
fuelectenerg-618	800	37	lattices	lattice	NOUN
fuelectenerg-618	800	38	...	...	PUNCT
fuelectenerg-618	800	39	71	71	NUM
fuelectenerg-618	800	40	122	122	NUM
fuelectenerg-618	800	41	b.	b.	PROPN
fuelectenerg-618	800	42	steinbach	steinbach	PROPN
fuelectenerg-618	800	43	and	and	CCONJ
fuelectenerg-618	800	44	c.	c.	PROPN
fuelectenerg-618	800	45	posthoff	posthoff	PROPN
fuelectenerg-618	800	46	general	general	PROPN
fuelectenerg-618	800	47	lattice	lattice	NOUN
fuelectenerg-618	800	48	:	:	PUNCT
fuelectenerg-618	800	49	f	f	PROPN
fuelectenerg-618	800	50	(	(	PUNCT
fuelectenerg-618	800	51	x)∧q(x)∨	x)∧q(x)∨	PROPN
fuelectenerg-618	800	52	f	f	PROPN
fuelectenerg-618	800	53	(	(	PUNCT
fuelectenerg-618	800	54	x)∧	x)∧	PROPN
fuelectenerg-618	800	55	r(x)∨	r(x)∨	NOUN
fuelectenerg-618	800	56	n	n	PRON
fuelectenerg-618	800	57	∨	∨	NUM
fuelectenerg-618	800	58	i=1	i=1	PROPN
fuelectenerg-618	800	59	∂	∂	X
fuelectenerg-618	800	60	f	f	NOUN
fuelectenerg-618	800	61	(	(	PUNCT
fuelectenerg-618	800	62	x	x	X
fuelectenerg-618	800	63	)	)	PUNCT
fuelectenerg-618	800	64	∂x0i	∂x0i	NOUN
fuelectenerg-618	801	1	=	=	SYM
fuelectenerg-618	801	2	0	0	PROPN
fuelectenerg-618	801	3	.	.	PUNCT
fuelectenerg-618	802	1	(	(	PUNCT
fuelectenerg-618	802	2	56	56	NUM
fuelectenerg-618	802	3	)	)	PUNCT
fuelectenerg-618	802	4	example	example	NOUN
fuelectenerg-618	802	5	6	6	NUM
fuelectenerg-618	802	6	.	.	PUNCT
fuelectenerg-618	803	1	we	we	PRON
fuelectenerg-618	803	2	assume	assume	VERB
fuelectenerg-618	803	3	that	that	SCONJ
fuelectenerg-618	803	4	a	a	DET
fuelectenerg-618	803	5	generalized	generalized	ADJ
fuelectenerg-618	803	6	lattice	lattice	NOUN
fuelectenerg-618	803	7	of	of	ADP
fuelectenerg-618	803	8	the	the	DET
fuelectenerg-618	803	9	boolean	boolean	ADJ
fuelectenerg-618	803	10	function	function	NOUN
fuelectenerg-618	803	11	f	f	PROPN
fuelectenerg-618	803	12	(	(	PUNCT
fuelectenerg-618	803	13	x	x	X
fuelectenerg-618	803	14	)	)	PUNCT
fuelectenerg-618	803	15	is	be	AUX
fuelectenerg-618	803	16	described	describe	VERB
fuelectenerg-618	803	17	by	by	ADP
fuelectenerg-618	803	18	the	the	DET
fuelectenerg-618	803	19	bde	bde	PROPN
fuelectenerg-618	803	20	:	:	PUNCT
fuelectenerg-618	803	21	f	f	PROPN
fuelectenerg-618	803	22	(	(	PUNCT
fuelectenerg-618	803	23	x)∧	x)∧	X
fuelectenerg-618	803	24	(	(	PUNCT
fuelectenerg-618	803	25	(	(	PUNCT
fuelectenerg-618	803	26	x1	x1	PROPN
fuelectenerg-618	803	27	⊕	⊕	PROPN
fuelectenerg-618	803	28	x3)∧	x3)∧	PROPN
fuelectenerg-618	804	1	(	(	PUNCT
fuelectenerg-618	804	2	x2	x2	PROPN
fuelectenerg-618	804	3	⊕	⊕	PROPN
fuelectenerg-618	804	4	x4))∨	x4))∨	PROPN
fuelectenerg-618	805	1	f	f	PROPN
fuelectenerg-618	805	2	(	(	PUNCT
fuelectenerg-618	805	3	x)∧	x)∧	X
fuelectenerg-618	805	4	(	(	PUNCT
fuelectenerg-618	805	5	(	(	PUNCT
fuelectenerg-618	805	6	x1	x1	PROPN
fuelectenerg-618	805	7	⊕	⊕	PROPN
fuelectenerg-618	805	8	x3)∧	x3)∧	PROPN
fuelectenerg-618	806	1	(	(	PUNCT
fuelectenerg-618	806	2	x2	x2	PROPN
fuelectenerg-618	806	3	⊕	⊕	PROPN
fuelectenerg-618	806	4	x4))∨	x4))∨	PROPN
fuelectenerg-618	806	5	∂	∂	NUM
fuelectenerg-618	806	6	f	f	X
fuelectenerg-618	806	7	(	(	PUNCT
fuelectenerg-618	806	8	x	x	NOUN
fuelectenerg-618	806	9	)	)	PUNCT
fuelectenerg-618	806	10	∂	∂	NOUN
fuelectenerg-618	806	11	(	(	PUNCT
fuelectenerg-618	806	12	x1,x3	x1,x3	PROPN
fuelectenerg-618	806	13	)	)	PUNCT
fuelectenerg-618	806	14	∨	∨	PROPN
fuelectenerg-618	806	15	∂	∂	NUM
fuelectenerg-618	806	16	f	f	PROPN
fuelectenerg-618	806	17	(	(	PUNCT
fuelectenerg-618	806	18	x	x	NOUN
fuelectenerg-618	806	19	)	)	PUNCT
fuelectenerg-618	806	20	∂	∂	NUM
fuelectenerg-618	806	21	(	(	PUNCT
fuelectenerg-618	806	22	x2,x4	x2,x4	PROPN
fuelectenerg-618	806	23	)	)	PUNCT
fuelectenerg-618	807	1	=	=	SYM
fuelectenerg-618	807	2	0	0	PUNCT
fuelectenerg-618	807	3	(	(	PUNCT
fuelectenerg-618	807	4	57	57	NUM
fuelectenerg-618	807	5	)	)	PUNCT
fuelectenerg-618	807	6	which	which	PRON
fuelectenerg-618	807	7	has	have	VERB
fuelectenerg-618	807	8	the	the	DET
fuelectenerg-618	807	9	associated	associated	ADJ
fuelectenerg-618	807	10	boolean	boolean	ADJ
fuelectenerg-618	807	11	equation	equation	NOUN
fuelectenerg-618	807	12	:	:	PUNCT
fuelectenerg-618	807	13	f	f	PROPN
fuelectenerg-618	807	14	(	(	PUNCT
fuelectenerg-618	807	15	x)∧	x)∧	X
fuelectenerg-618	807	16	(	(	PUNCT
fuelectenerg-618	807	17	(	(	PUNCT
fuelectenerg-618	807	18	x1	x1	PROPN
fuelectenerg-618	807	19	⊕	⊕	PROPN
fuelectenerg-618	807	20	x3)∧	x3)∧	PROPN
fuelectenerg-618	808	1	(	(	PUNCT
fuelectenerg-618	808	2	x2	x2	PROPN
fuelectenerg-618	808	3	⊕	⊕	PROPN
fuelectenerg-618	808	4	x4))∨	x4))∨	PROPN
fuelectenerg-618	809	1	f	f	PROPN
fuelectenerg-618	809	2	(	(	PUNCT
fuelectenerg-618	809	3	x)∧	x)∧	X
fuelectenerg-618	809	4	(	(	PUNCT
fuelectenerg-618	809	5	(	(	PUNCT
fuelectenerg-618	809	6	x1	x1	PROPN
fuelectenerg-618	809	7	⊕	⊕	PROPN
fuelectenerg-618	809	8	x3)∧	x3)∧	PROPN
fuelectenerg-618	810	1	(	(	PUNCT
fuelectenerg-618	810	2	x2	x2	PROPN
fuelectenerg-618	810	3	⊕	⊕	PROPN
fuelectenerg-618	810	4	x4))∨u5	x4))∨u5	PUNCT
fuelectenerg-618	810	5	∨u10	∨u10	PROPN
fuelectenerg-618	810	6	=	=	NOUN
fuelectenerg-618	810	7	0	0	NUM
fuelectenerg-618	810	8	.	.	PUNCT
fuelectenerg-618	811	1	(	(	PUNCT
fuelectenerg-618	811	2	58	58	X
fuelectenerg-618	811	3	)	)	PUNCT
fuelectenerg-618	811	4	figure	figure	NOUN
fuelectenerg-618	811	5	7	7	NUM
fuelectenerg-618	811	6	shows	show	VERB
fuelectenerg-618	811	7	the	the	DET
fuelectenerg-618	811	8	prp	prp	NOUN
fuelectenerg-618	811	9	that	that	PRON
fuelectenerg-618	811	10	is	be	AUX
fuelectenerg-618	811	11	used	use	VERB
fuelectenerg-618	811	12	to	to	PART
fuelectenerg-618	811	13	solve	solve	VERB
fuelectenerg-618	811	14	the	the	DET
fuelectenerg-618	811	15	bde	bde	PROPN
fuelectenerg-618	811	16	(	(	PUNCT
fuelectenerg-618	811	17	57	57	NUM
fuelectenerg-618	811	18	)	)	PUNCT
fuelectenerg-618	811	19	of	of	ADP
fuelectenerg-618	811	20	a	a	DET
fuelectenerg-618	811	21	most	most	ADV
fuelectenerg-618	811	22	general	general	ADJ
fuelectenerg-618	811	23	lattice	lattice	NOUN
fuelectenerg-618	811	24	of	of	ADP
fuelectenerg-618	811	25	boolean	boolean	ADJ
fuelectenerg-618	811	26	functions	function	NOUN
fuelectenerg-618	811	27	.	.	PUNCT
fuelectenerg-618	812	1	after	after	ADP
fuelectenerg-618	812	2	the	the	DET
fuelectenerg-618	812	3	definition	definition	NOUN
fuelectenerg-618	812	4	of	of	ADP
fuelectenerg-618	812	5	the	the	DET
fuelectenerg-618	812	6	boolean	boolean	ADJ
fuelectenerg-618	812	7	space	space	NOUN
fuelectenerg-618	812	8	b	b	PROPN
fuelectenerg-618	812	9	32	32	NUM
fuelectenerg-618	812	10	in	in	ADP
fuelectenerg-618	812	11	line	line	NOUN
fuelectenerg-618	812	12	1	1	NUM
fuelectenerg-618	812	13	;	;	PUNCT
fuelectenerg-618	812	14	the	the	DET
fuelectenerg-618	812	15	used	use	VERB
fuelectenerg-618	812	16	variables	variable	NOUN
fuelectenerg-618	812	17	are	be	AUX
fuelectenerg-618	812	18	defined	define	VERB
fuelectenerg-618	812	19	in	in	ADP
fuelectenerg-618	812	20	lines	line	NOUN
fuelectenerg-618	812	21	2	2	NUM
fuelectenerg-618	812	22	to	to	ADP
fuelectenerg-618	812	23	8	8	NUM
fuelectenerg-618	812	24	,	,	PUNCT
fuelectenerg-618	812	25	and	and	CCONJ
fuelectenerg-618	812	26	the	the	DET
fuelectenerg-618	812	27	associated	associated	ADJ
fuelectenerg-618	812	28	boolean	boolean	ADJ
fuelectenerg-618	812	29	equation	equation	NOUN
fuelectenerg-618	812	30	is	be	AUX
fuelectenerg-618	812	31	solved	solve	VERB
fuelectenerg-618	812	32	in	in	ADP
fuelectenerg-618	812	33	lines	line	NOUN
fuelectenerg-618	812	34	9	9	NUM
fuelectenerg-618	812	35	to	to	ADP
fuelectenerg-618	812	36	12	12	NUM
fuelectenerg-618	812	37	.	.	PUNCT
fuelectenerg-618	813	1	the	the	DET
fuelectenerg-618	813	2	bde	bde	PROPN
fuelectenerg-618	813	3	(	(	PUNCT
fuelectenerg-618	813	4	57	57	NUM
fuelectenerg-618	813	5	)	)	PUNCT
fuelectenerg-618	813	6	contains	contain	VERB
fuelectenerg-618	813	7	only	only	ADV
fuelectenerg-618	813	8	f	f	PROPN
fuelectenerg-618	813	9	(	(	PUNCT
fuelectenerg-618	813	10	x	x	NOUN
fuelectenerg-618	813	11	)	)	PUNCT
fuelectenerg-618	813	12	and	and	CCONJ
fuelectenerg-618	813	13	two	two	NUM
fuelectenerg-618	813	14	vectorial	vectorial	ADJ
fuelectenerg-618	813	15	derivatives	derivative	NOUN
fuelectenerg-618	813	16	out	out	ADP
fuelectenerg-618	813	17	of	of	ADP
fuelectenerg-618	813	18	the	the	DET
fuelectenerg-618	813	19	vector	vector	NOUN
fuelectenerg-618	813	20	∇	∇	X
fuelectenerg-618	813	21	f	f	X
fuelectenerg-618	813	22	(	(	PUNCT
fuelectenerg-618	813	23	x	x	X
fuelectenerg-618	813	24	)	)	PUNCT
fuelectenerg-618	813	25	so	so	SCONJ
fuelectenerg-618	813	26	that	that	SCONJ
fuelectenerg-618	813	27	the	the	DET
fuelectenerg-618	813	28	transformation	transformation	NOUN
fuelectenerg-618	813	29	d2v	d2v	PROPN
fuelectenerg-618	813	30	can	can	AUX
fuelectenerg-618	813	31	be	be	AUX
fuelectenerg-618	813	32	restricted	restrict	VERB
fuelectenerg-618	813	33	to	to	ADP
fuelectenerg-618	813	34	the	the	DET
fuelectenerg-618	813	35	mapping	mapping	NOUN
fuelectenerg-618	813	36	of	of	ADP
fuelectenerg-618	813	37	u0	u0	PROPN
fuelectenerg-618	813	38	to	to	ADP
fuelectenerg-618	813	39	v0	v0	PROPN
fuelectenerg-618	813	40	,	,	PUNCT
fuelectenerg-618	813	41	u5	u5	PROPN
fuelectenerg-618	813	42	to	to	PART
fuelectenerg-618	813	43	v5	v5	VERB
fuelectenerg-618	813	44	,	,	PUNCT
fuelectenerg-618	813	45	and	and	CCONJ
fuelectenerg-618	813	46	u10	u10	PROPN
fuelectenerg-618	813	47	to	to	ADP
fuelectenerg-618	813	48	v10	v10	NOUN
fuelectenerg-618	813	49	,	,	PUNCT
fuelectenerg-618	813	50	in	in	ADP
fuelectenerg-618	813	51	lines	line	NOUN
fuelectenerg-618	813	52	13	13	NUM
fuelectenerg-618	813	53	to	to	PART
fuelectenerg-618	813	54	20	20	NUM
fuelectenerg-618	813	55	.	.	PUNCT
fuelectenerg-618	814	1	due	due	ADP
fuelectenerg-618	814	2	to	to	ADP
fuelectenerg-618	814	3	the	the	DET
fuelectenerg-618	814	4	existing	exist	VERB
fuelectenerg-618	814	5	variables	variable	NOUN
fuelectenerg-618	814	6	xi	xi	ADP
fuelectenerg-618	814	7	algorithm	algorithm	PROPN
fuelectenerg-618	814	8	2	2	NUM
fuelectenerg-618	814	9	must	must	AUX
fuelectenerg-618	814	10	be	be	AUX
fuelectenerg-618	814	11	used	use	VERB
fuelectenerg-618	814	12	to	to	PART
fuelectenerg-618	814	13	separate	separate	VERB
fuelectenerg-618	814	14	the	the	DET
fuelectenerg-618	814	15	set	set	NOUN
fuelectenerg-618	814	16	of	of	ADP
fuelectenerg-618	814	17	solution	solution	NOUN
fuelectenerg-618	814	18	functions	function	NOUN
fuelectenerg-618	814	19	which	which	PRON
fuelectenerg-618	814	20	have	have	VERB
fuelectenerg-618	814	21	the	the	DET
fuelectenerg-618	814	22	structure	structure	NOUN
fuelectenerg-618	814	23	of	of	ADP
fuelectenerg-618	814	24	a	a	DET
fuelectenerg-618	814	25	lattice	lattice	NOUN
fuelectenerg-618	814	26	due	due	ADP
fuelectenerg-618	814	27	to	to	ADP
fuelectenerg-618	814	28	the	the	DET
fuelectenerg-618	814	29	structure	structure	NOUN
fuelectenerg-618	814	30	of	of	ADP
fuelectenerg-618	814	31	the	the	DET
fuelectenerg-618	814	32	bde	bde	PROPN
fuelectenerg-618	814	33	to	to	PART
fuelectenerg-618	814	34	be	be	AUX
fuelectenerg-618	814	35	solved	solve	VERB
fuelectenerg-618	814	36	.	.	PUNCT
fuelectenerg-618	815	1	all	all	DET
fuelectenerg-618	815	2	steps	step	NOUN
fuelectenerg-618	815	3	of	of	ADP
fuelectenerg-618	815	4	the	the	DET
fuelectenerg-618	815	5	loop	loop	NOUN
fuelectenerg-618	815	6	of	of	ADP
fuelectenerg-618	815	7	lines	line	NOUN
fuelectenerg-618	815	8	3	3	NUM
fuelectenerg-618	815	9	to	to	PART
fuelectenerg-618	815	10	8	8	NUM
fuelectenerg-618	815	11	of	of	ADP
fuelectenerg-618	815	12	algorithm	algorithm	NOUN
fuelectenerg-618	815	13	2	2	NUM
fuelectenerg-618	815	14	are	be	AUX
fuelectenerg-618	815	15	realized	realize	VERB
fuelectenerg-618	815	16	in	in	ADP
fuelectenerg-618	815	17	lines	line	NOUN
fuelectenerg-618	815	18	21	21	NUM
fuelectenerg-618	815	19	to	to	PART
fuelectenerg-618	815	20	80	80	NUM
fuelectenerg-618	815	21	of	of	ADP
fuelectenerg-618	815	22	the	the	DET
fuelectenerg-618	815	23	prp	prp	NOUN
fuelectenerg-618	815	24	in	in	ADP
fuelectenerg-618	815	25	figure	figure	NOUN
fuelectenerg-618	815	26	7	7	NUM
fuelectenerg-618	815	27	.	.	PUNCT
fuelectenerg-618	816	1	the	the	DET
fuelectenerg-618	816	2	lines	line	NOUN
fuelectenerg-618	816	3	21	21	NUM
fuelectenerg-618	816	4	to	to	PART
fuelectenerg-618	816	5	35	35	NUM
fuelectenerg-618	816	6	of	of	ADP
fuelectenerg-618	816	7	the	the	DET
fuelectenerg-618	816	8	prp	prp	NOUN
fuelectenerg-618	816	9	describe	describe	VERB
fuelectenerg-618	816	10	the	the	DET
fuelectenerg-618	816	11	first	first	ADJ
fuelectenerg-618	816	12	sweep	sweep	NOUN
fuelectenerg-618	816	13	of	of	ADP
fuelectenerg-618	816	14	this	this	DET
fuelectenerg-618	816	15	loop	loop	NOUN
fuelectenerg-618	816	16	for	for	ADP
fuelectenerg-618	816	17	x1	x1	PROPN
fuelectenerg-618	816	18	.	.	PUNCT
fuelectenerg-618	817	1	the	the	DET
fuelectenerg-618	817	2	indices	index	NOUN
fuelectenerg-618	817	3	of	of	ADP
fuelectenerg-618	817	4	the	the	DET
fuelectenerg-618	817	5	variables	variable	NOUN
fuelectenerg-618	817	6	vi	vi	PROPN
fuelectenerg-618	817	7	are	be	AUX
fuelectenerg-618	817	8	taken	take	VERB
fuelectenerg-618	817	9	from	from	ADP
fuelectenerg-618	817	10	the	the	DET
fuelectenerg-618	817	11	column	column	NOUN
fuelectenerg-618	817	12	i	i	NOUN
fuelectenerg-618	817	13	=	=	NOUN
fuelectenerg-618	817	14	1	1	NUM
fuelectenerg-618	817	15	of	of	ADP
fuelectenerg-618	817	16	table	table	NOUN
fuelectenerg-618	817	17	3	3	NUM
fuelectenerg-618	817	18	where	where	SCONJ
fuelectenerg-618	817	19	the	the	DET
fuelectenerg-618	817	20	vt	vt	PROPN
fuelectenerg-618	817	21	11	11	NUM
fuelectenerg-618	817	22	uses	use	VERB
fuelectenerg-618	817	23	the	the	DET
fuelectenerg-618	817	24	left	left	ADJ
fuelectenerg-618	817	25	values	value	NOUN
fuelectenerg-618	817	26	and	and	CCONJ
fuelectenerg-618	817	27	the	the	DET
fuelectenerg-618	817	28	vt	vt	PROPN
fuelectenerg-618	817	29	12	12	NUM
fuelectenerg-618	817	30	the	the	DET
fuelectenerg-618	817	31	right	right	ADJ
fuelectenerg-618	817	32	values	value	NOUN
fuelectenerg-618	817	33	.	.	PUNCT
fuelectenerg-618	818	1	the	the	DET
fuelectenerg-618	818	2	intermediate	intermediate	ADJ
fuelectenerg-618	818	3	solution	solution	NOUN
fuelectenerg-618	818	4	of	of	ADP
fuelectenerg-618	818	5	this	this	DET
fuelectenerg-618	818	6	sweep	sweep	NOUN
fuelectenerg-618	818	7	is	be	AUX
fuelectenerg-618	818	8	stored	store	VERB
fuelectenerg-618	818	9	to	to	ADP
fuelectenerg-618	818	10	the	the	DET
fuelectenerg-618	818	11	same	same	ADJ
fuelectenerg-618	818	12	xboole	xboole	NOUN
fuelectenerg-618	818	13	-	-	PUNCT
fuelectenerg-618	818	14	object	object	NOUN
fuelectenerg-618	818	15	5	5	NUM
fuelectenerg-618	818	16	that	that	PRON
fuelectenerg-618	818	17	represent	represent	VERB
fuelectenerg-618	818	18	the	the	DET
fuelectenerg-618	818	19	function	function	NOUN
fuelectenerg-618	818	20	s	s	PROPN
fuelectenerg-618	818	21	of	of	ADP
fuelectenerg-618	818	22	algorithm	algorithm	NOUN
fuelectenerg-618	818	23	2	2	NUM
fuelectenerg-618	818	24	.	.	PUNCT
fuelectenerg-618	819	1	hence	hence	ADV
fuelectenerg-618	819	2	,	,	PUNCT
fuelectenerg-618	819	3	the	the	DET
fuelectenerg-618	819	4	fragment	fragment	NOUN
fuelectenerg-618	819	5	of	of	ADP
fuelectenerg-618	819	6	lines	line	NOUN
fuelectenerg-618	819	7	21	21	NUM
fuelectenerg-618	819	8	to	to	PART
fuelectenerg-618	819	9	35	35	NUM
fuelectenerg-618	819	10	of	of	ADP
fuelectenerg-618	819	11	the	the	DET
fuelectenerg-618	819	12	first	first	ADJ
fuelectenerg-618	819	13	sweep	sweep	NOUN
fuelectenerg-618	819	14	of	of	ADP
fuelectenerg-618	819	15	the	the	DET
fuelectenerg-618	819	16	loop	loop	NOUN
fuelectenerg-618	819	17	can	can	AUX
fuelectenerg-618	819	18	be	be	AUX
fuelectenerg-618	819	19	reused	reuse	VERB
fuelectenerg-618	819	20	in	in	ADP
fuelectenerg-618	819	21	lines	line	NOUN
fuelectenerg-618	819	22	36	36	NUM
fuelectenerg-618	819	23	to	to	PART
fuelectenerg-618	819	24	50	50	NUM
fuelectenerg-618	819	25	for	for	ADP
fuelectenerg-618	819	26	the	the	DET
fuelectenerg-618	819	27	second	second	ADJ
fuelectenerg-618	819	28	sweep	sweep	NOUN
fuelectenerg-618	819	29	with	with	ADP
fuelectenerg-618	819	30	x2	x2	PROPN
fuelectenerg-618	819	31	and	and	CCONJ
fuelectenerg-618	819	32	the	the	DET
fuelectenerg-618	819	33	vts	vts	NOUN
fuelectenerg-618	819	34	specified	specify	VERB
fuelectenerg-618	819	35	by	by	ADP
fuelectenerg-618	819	36	column	column	NOUN
fuelectenerg-618	819	37	i	i	NOUN
fuelectenerg-618	819	38	=	=	NOUN
fuelectenerg-618	819	39	2	2	NUM
fuelectenerg-618	819	40	of	of	ADP
fuelectenerg-618	819	41	table	table	NOUN
fuelectenerg-618	819	42	3	3	NUM
fuelectenerg-618	819	43	,	,	PUNCT
fuelectenerg-618	819	44	in	in	ADP
fuelectenerg-618	819	45	lines	line	NOUN
fuelectenerg-618	819	46	51	51	NUM
fuelectenerg-618	819	47	to	to	PART
fuelectenerg-618	819	48	65	65	NUM
fuelectenerg-618	819	49	for	for	ADP
fuelectenerg-618	819	50	the	the	DET
fuelectenerg-618	819	51	third	third	ADJ
fuelectenerg-618	819	52	sweep	sweep	NOUN
fuelectenerg-618	819	53	with	with	ADP
fuelectenerg-618	819	54	x3	x3	ADJ
fuelectenerg-618	819	55	and	and	CCONJ
fuelectenerg-618	819	56	the	the	DET
fuelectenerg-618	819	57	vts	vts	NOUN
fuelectenerg-618	819	58	specified	specify	VERB
fuelectenerg-618	819	59	by	by	ADP
fuelectenerg-618	819	60	column	column	NOUN
fuelectenerg-618	819	61	i=	i=	PROPN
fuelectenerg-618	819	62	3	3	NUM
fuelectenerg-618	819	63	,	,	PUNCT
fuelectenerg-618	819	64	and	and	CCONJ
fuelectenerg-618	819	65	finally	finally	ADV
fuelectenerg-618	819	66	in	in	ADP
fuelectenerg-618	819	67	lines	line	NOUN
fuelectenerg-618	819	68	66	66	NUM
fuelectenerg-618	819	69	to	to	PART
fuelectenerg-618	819	70	80	80	NUM
fuelectenerg-618	819	71	for	for	ADP
fuelectenerg-618	819	72	the	the	DET
fuelectenerg-618	819	73	fourth	fourth	ADJ
fuelectenerg-618	819	74	sweep	sweep	NOUN
fuelectenerg-618	819	75	with	with	ADP
fuelectenerg-618	819	76	x4	x4	PROPN
fuelectenerg-618	819	77	and	and	CCONJ
fuelectenerg-618	819	78	the	the	DET
fuelectenerg-618	819	79	vts	vts	NOUN
fuelectenerg-618	819	80	specified	specify	VERB
fuelectenerg-618	819	81	by	by	ADP
fuelectenerg-618	819	82	column	column	NOUN
fuelectenerg-618	819	83	i	i	NOUN
fuelectenerg-618	819	84	=	=	NOUN
fuelectenerg-618	819	85	4	4	NUM
fuelectenerg-618	819	86	of	of	ADP
fuelectenerg-618	819	87	table	table	NOUN
fuelectenerg-618	819	88	3	3	NUM
fuelectenerg-618	819	89	,	,	PUNCT
fuelectenerg-618	819	90	respectively	respectively	ADV
fuelectenerg-618	819	91	.	.	PUNCT
fuelectenerg-618	820	1	table	table	NOUN
fuelectenerg-618	820	2	7	7	NUM
fuelectenerg-618	820	3	enumerates	enumerate	VERB
fuelectenerg-618	820	4	the	the	DET
fuelectenerg-618	820	5	four	four	NUM
fuelectenerg-618	820	6	solution	solution	NOUN
fuelectenerg-618	820	7	functions	function	NOUN
fuelectenerg-618	820	8	of	of	ADP
fuelectenerg-618	820	9	the	the	DET
fuelectenerg-618	820	10	bde	bde	PROPN
fuelectenerg-618	820	11	(	(	PUNCT
fuelectenerg-618	820	12	57	57	NUM
fuelectenerg-618	820	13	)	)	PUNCT
fuelectenerg-618	820	14	calculated	calculate	VERB
fuelectenerg-618	820	15	by	by	ADP
fuelectenerg-618	820	16	the	the	DET
fuelectenerg-618	820	17	xboole	xboole	NOUN
fuelectenerg-618	820	18	-	-	PUNCT
fuelectenerg-618	820	19	monitor	monitor	NOUN
fuelectenerg-618	820	20	using	use	VERB
fuelectenerg-618	820	21	the	the	DET
fuelectenerg-618	820	22	prp	prp	NOUN
fuelectenerg-618	820	23	of	of	ADP
fuelectenerg-618	820	24	figure	figure	NOUN
fuelectenerg-618	820	25	7	7	NUM
fuelectenerg-618	820	26	.	.	PUNCT
fuelectenerg-618	821	1	the	the	DET
fuelectenerg-618	821	2	function	function	NOUN
fuelectenerg-618	821	3	values	value	NOUN
fuelectenerg-618	821	4	in	in	ADP
fuelectenerg-618	821	5	the	the	DET
fuelectenerg-618	821	6	columns	column	NOUN
fuelectenerg-618	821	7	v0	v0	NOUN
fuelectenerg-618	821	8	,	,	PUNCT
fuelectenerg-618	821	9	.	.	PUNCT
fuelectenerg-618	821	10	.	.	PUNCT
fuelectenerg-618	821	11	.	.	PUNCT
fuelectenerg-618	822	1	,	,	PUNCT
fuelectenerg-618	822	2	v15	v15	NOUN
fuelectenerg-618	822	3	confirm	confirm	VERB
fuelectenerg-618	822	4	that	that	SCONJ
fuelectenerg-618	822	5	the	the	DET
fuelectenerg-618	822	6	calculated	calculated	ADJ
fuelectenerg-618	822	7	four	four	NUM
fuelectenerg-618	822	8	functions	function	NOUN
fuelectenerg-618	822	9	form	form	VERB
fuelectenerg-618	822	10	a	a	DET
fuelectenerg-618	822	11	lattice	lattice	NOUN
fuelectenerg-618	822	12	.	.	PUNCT
fuelectenerg-618	823	1	it	it	PRON
fuelectenerg-618	823	2	can	can	AUX
fuelectenerg-618	823	3	also	also	ADV
fuelectenerg-618	823	4	be	be	AUX
fuelectenerg-618	823	5	seen	see	VERB
fuelectenerg-618	823	6	in	in	ADP
fuelectenerg-618	823	7	these	these	DET
fuelectenerg-618	823	8	columns	column	NOUN
fuelectenerg-618	823	9	that	that	SCONJ
fuelectenerg-618	823	10	not	not	PART
fuelectenerg-618	823	11	all	all	DET
fuelectenerg-618	823	12	functions	function	NOUN
fuelectenerg-618	823	13	which	which	PRON
fuelectenerg-618	823	14	are	be	AUX
fuelectenerg-618	823	15	smaller	small	ADJ
fuelectenerg-618	823	16	than	than	ADP
fuelectenerg-618	823	17	the	the	DET
fuelectenerg-618	823	18	supremum	supremum	ADJ
fuelectenerg-618	823	19	f1	f1	NOUN
fuelectenerg-618	823	20	and	and	CCONJ
fuelectenerg-618	823	21	larger	large	ADJ
fuelectenerg-618	823	22	than	than	ADP
fuelectenerg-618	823	23	the	the	DET
fuelectenerg-618	823	24	infimum	infimum	ADJ
fuelectenerg-618	823	25	f4	f4	ADJ
fuelectenerg-618	823	26	belong	belong	NOUN
fuelectenerg-618	823	27	to	to	ADP
fuelectenerg-618	823	28	this	this	DET
fuelectenerg-618	823	29	generalized	generalized	ADJ
fuelectenerg-618	823	30	lattice	lattice	NOUN
fuelectenerg-618	823	31	of	of	ADP
fuelectenerg-618	823	32	boolean	boolean	ADJ
fuelectenerg-618	823	33	functions	function	NOUN
fuelectenerg-618	823	34	.	.	PUNCT
fuelectenerg-618	824	1	72	72	NUM
fuelectenerg-618	824	2	b.	b.	PROPN
fuelectenerg-618	824	3	steinbach	steinbach	PROPN
fuelectenerg-618	824	4	,	,	PUNCT
fuelectenerg-618	824	5	c.	c.	PROPN
fuelectenerg-618	824	6	posthoff	posthoff	PROPN
fuelectenerg-618	824	7	boolean	boolean	ADJ
fuelectenerg-618	824	8	differential	differential	ADJ
fuelectenerg-618	824	9	equations	equation	NOUN
fuelectenerg-618	824	10	–	–	PUNCT
fuelectenerg-618	824	11	a	a	DET
fuelectenerg-618	824	12	common	common	ADJ
fuelectenerg-618	824	13	model	model	NOUN
fuelectenerg-618	824	14	for	for	ADP
fuelectenerg-618	824	15	classes	class	NOUN
fuelectenerg-618	824	16	,	,	PUNCT
fuelectenerg-618	824	17	lattices	lattice	NOUN
fuelectenerg-618	824	18	...	...	PUNCT
fuelectenerg-618	824	19	73	73	NUM
fuelectenerg-618	824	20	122	122	NUM
fuelectenerg-618	824	21	b.	b.	PROPN
fuelectenerg-618	824	22	steinbach	steinbach	PROPN
fuelectenerg-618	824	23	and	and	CCONJ
fuelectenerg-618	824	24	c.	c.	PROPN
fuelectenerg-618	824	25	posthoff	posthoff	PROPN
fuelectenerg-618	824	26	general	general	PROPN
fuelectenerg-618	824	27	lattice	lattice	NOUN
fuelectenerg-618	824	28	:	:	PUNCT
fuelectenerg-618	824	29	f	f	PROPN
fuelectenerg-618	824	30	(	(	PUNCT
fuelectenerg-618	824	31	x)∧q(x)∨	x)∧q(x)∨	PROPN
fuelectenerg-618	824	32	f	f	PROPN
fuelectenerg-618	824	33	(	(	PUNCT
fuelectenerg-618	824	34	x)∧	x)∧	PROPN
fuelectenerg-618	824	35	r(x)∨	r(x)∨	NOUN
fuelectenerg-618	824	36	n	n	PRON
fuelectenerg-618	824	37	∨	∨	NUM
fuelectenerg-618	824	38	i=1	i=1	PROPN
fuelectenerg-618	824	39	∂	∂	X
fuelectenerg-618	824	40	f	f	NOUN
fuelectenerg-618	824	41	(	(	PUNCT
fuelectenerg-618	824	42	x	x	X
fuelectenerg-618	824	43	)	)	PUNCT
fuelectenerg-618	824	44	∂x0i	∂x0i	NOUN
fuelectenerg-618	824	45	=	=	SYM
fuelectenerg-618	824	46	0	0	PROPN
fuelectenerg-618	824	47	.	.	PUNCT
fuelectenerg-618	825	1	(	(	PUNCT
fuelectenerg-618	825	2	56	56	NUM
fuelectenerg-618	825	3	)	)	PUNCT
fuelectenerg-618	825	4	example	example	NOUN
fuelectenerg-618	825	5	6	6	NUM
fuelectenerg-618	825	6	.	.	PUNCT
fuelectenerg-618	826	1	we	we	PRON
fuelectenerg-618	826	2	assume	assume	VERB
fuelectenerg-618	826	3	that	that	SCONJ
fuelectenerg-618	826	4	a	a	DET
fuelectenerg-618	826	5	generalized	generalized	ADJ
fuelectenerg-618	826	6	lattice	lattice	NOUN
fuelectenerg-618	826	7	of	of	ADP
fuelectenerg-618	826	8	the	the	DET
fuelectenerg-618	826	9	boolean	boolean	ADJ
fuelectenerg-618	826	10	function	function	NOUN
fuelectenerg-618	826	11	f	f	PROPN
fuelectenerg-618	826	12	(	(	PUNCT
fuelectenerg-618	826	13	x	x	X
fuelectenerg-618	826	14	)	)	PUNCT
fuelectenerg-618	826	15	is	be	AUX
fuelectenerg-618	826	16	described	describe	VERB
fuelectenerg-618	826	17	by	by	ADP
fuelectenerg-618	826	18	the	the	DET
fuelectenerg-618	826	19	bde	bde	PROPN
fuelectenerg-618	826	20	:	:	PUNCT
fuelectenerg-618	826	21	f	f	PROPN
fuelectenerg-618	826	22	(	(	PUNCT
fuelectenerg-618	826	23	x)∧	x)∧	X
fuelectenerg-618	826	24	(	(	PUNCT
fuelectenerg-618	826	25	(	(	PUNCT
fuelectenerg-618	826	26	x1	x1	PROPN
fuelectenerg-618	826	27	⊕	⊕	PROPN
fuelectenerg-618	826	28	x3)∧	x3)∧	PROPN
fuelectenerg-618	827	1	(	(	PUNCT
fuelectenerg-618	827	2	x2	x2	PROPN
fuelectenerg-618	827	3	⊕	⊕	PROPN
fuelectenerg-618	827	4	x4))∨	x4))∨	PROPN
fuelectenerg-618	828	1	f	f	PROPN
fuelectenerg-618	828	2	(	(	PUNCT
fuelectenerg-618	828	3	x)∧	x)∧	X
fuelectenerg-618	828	4	(	(	PUNCT
fuelectenerg-618	828	5	(	(	PUNCT
fuelectenerg-618	828	6	x1	x1	PROPN
fuelectenerg-618	828	7	⊕	⊕	PROPN
fuelectenerg-618	828	8	x3)∧	x3)∧	PROPN
fuelectenerg-618	829	1	(	(	PUNCT
fuelectenerg-618	829	2	x2	x2	PROPN
fuelectenerg-618	829	3	⊕	⊕	PROPN
fuelectenerg-618	829	4	x4))∨	x4))∨	PROPN
fuelectenerg-618	829	5	∂	∂	NUM
fuelectenerg-618	829	6	f	f	X
fuelectenerg-618	829	7	(	(	PUNCT
fuelectenerg-618	829	8	x	x	NOUN
fuelectenerg-618	829	9	)	)	PUNCT
fuelectenerg-618	829	10	∂	∂	NOUN
fuelectenerg-618	829	11	(	(	PUNCT
fuelectenerg-618	829	12	x1,x3	x1,x3	PROPN
fuelectenerg-618	829	13	)	)	PUNCT
fuelectenerg-618	829	14	∨	∨	PROPN
fuelectenerg-618	829	15	∂	∂	NUM
fuelectenerg-618	829	16	f	f	PROPN
fuelectenerg-618	829	17	(	(	PUNCT
fuelectenerg-618	829	18	x	x	NOUN
fuelectenerg-618	829	19	)	)	PUNCT
fuelectenerg-618	829	20	∂	∂	NUM
fuelectenerg-618	829	21	(	(	PUNCT
fuelectenerg-618	829	22	x2,x4	x2,x4	PROPN
fuelectenerg-618	829	23	)	)	PUNCT
fuelectenerg-618	830	1	=	=	SYM
fuelectenerg-618	830	2	0	0	PUNCT
fuelectenerg-618	830	3	(	(	PUNCT
fuelectenerg-618	830	4	57	57	NUM
fuelectenerg-618	830	5	)	)	PUNCT
fuelectenerg-618	830	6	which	which	PRON
fuelectenerg-618	830	7	has	have	VERB
fuelectenerg-618	830	8	the	the	DET
fuelectenerg-618	830	9	associated	associated	ADJ
fuelectenerg-618	830	10	boolean	boolean	ADJ
fuelectenerg-618	830	11	equation	equation	NOUN
fuelectenerg-618	830	12	:	:	PUNCT
fuelectenerg-618	830	13	f	f	PROPN
fuelectenerg-618	830	14	(	(	PUNCT
fuelectenerg-618	830	15	x)∧	x)∧	X
fuelectenerg-618	830	16	(	(	PUNCT
fuelectenerg-618	830	17	(	(	PUNCT
fuelectenerg-618	830	18	x1	x1	PROPN
fuelectenerg-618	830	19	⊕	⊕	PROPN
fuelectenerg-618	830	20	x3)∧	x3)∧	PROPN
fuelectenerg-618	831	1	(	(	PUNCT
fuelectenerg-618	831	2	x2	x2	PROPN
fuelectenerg-618	831	3	⊕	⊕	PROPN
fuelectenerg-618	831	4	x4))∨	x4))∨	PROPN
fuelectenerg-618	832	1	f	f	PROPN
fuelectenerg-618	832	2	(	(	PUNCT
fuelectenerg-618	832	3	x)∧	x)∧	X
fuelectenerg-618	832	4	(	(	PUNCT
fuelectenerg-618	832	5	(	(	PUNCT
fuelectenerg-618	832	6	x1	x1	PROPN
fuelectenerg-618	832	7	⊕	⊕	PROPN
fuelectenerg-618	832	8	x3)∧	x3)∧	PROPN
fuelectenerg-618	833	1	(	(	PUNCT
fuelectenerg-618	833	2	x2	x2	PROPN
fuelectenerg-618	833	3	⊕	⊕	PROPN
fuelectenerg-618	833	4	x4))∨u5	x4))∨u5	PUNCT
fuelectenerg-618	833	5	∨u10	∨u10	PROPN
fuelectenerg-618	833	6	=	=	NOUN
fuelectenerg-618	833	7	0	0	NUM
fuelectenerg-618	833	8	.	.	PUNCT
fuelectenerg-618	834	1	(	(	PUNCT
fuelectenerg-618	834	2	58	58	X
fuelectenerg-618	834	3	)	)	PUNCT
fuelectenerg-618	834	4	figure	figure	NOUN
fuelectenerg-618	834	5	7	7	NUM
fuelectenerg-618	834	6	shows	show	VERB
fuelectenerg-618	834	7	the	the	DET
fuelectenerg-618	834	8	prp	prp	NOUN
fuelectenerg-618	834	9	that	that	PRON
fuelectenerg-618	834	10	is	be	AUX
fuelectenerg-618	834	11	used	use	VERB
fuelectenerg-618	834	12	to	to	PART
fuelectenerg-618	834	13	solve	solve	VERB
fuelectenerg-618	834	14	the	the	DET
fuelectenerg-618	834	15	bde	bde	PROPN
fuelectenerg-618	834	16	(	(	PUNCT
fuelectenerg-618	834	17	57	57	NUM
fuelectenerg-618	834	18	)	)	PUNCT
fuelectenerg-618	834	19	of	of	ADP
fuelectenerg-618	834	20	a	a	DET
fuelectenerg-618	834	21	most	most	ADV
fuelectenerg-618	834	22	general	general	ADJ
fuelectenerg-618	834	23	lattice	lattice	NOUN
fuelectenerg-618	834	24	of	of	ADP
fuelectenerg-618	834	25	boolean	boolean	ADJ
fuelectenerg-618	834	26	functions	function	NOUN
fuelectenerg-618	834	27	.	.	PUNCT
fuelectenerg-618	835	1	after	after	ADP
fuelectenerg-618	835	2	the	the	DET
fuelectenerg-618	835	3	definition	definition	NOUN
fuelectenerg-618	835	4	of	of	ADP
fuelectenerg-618	835	5	the	the	DET
fuelectenerg-618	835	6	boolean	boolean	ADJ
fuelectenerg-618	835	7	space	space	NOUN
fuelectenerg-618	835	8	b	b	PROPN
fuelectenerg-618	835	9	32	32	NUM
fuelectenerg-618	835	10	in	in	ADP
fuelectenerg-618	835	11	line	line	NOUN
fuelectenerg-618	835	12	1	1	NUM
fuelectenerg-618	835	13	;	;	PUNCT
fuelectenerg-618	835	14	the	the	DET
fuelectenerg-618	835	15	used	use	VERB
fuelectenerg-618	835	16	variables	variable	NOUN
fuelectenerg-618	835	17	are	be	AUX
fuelectenerg-618	835	18	defined	define	VERB
fuelectenerg-618	835	19	in	in	ADP
fuelectenerg-618	835	20	lines	line	NOUN
fuelectenerg-618	835	21	2	2	NUM
fuelectenerg-618	835	22	to	to	ADP
fuelectenerg-618	835	23	8	8	NUM
fuelectenerg-618	835	24	,	,	PUNCT
fuelectenerg-618	835	25	and	and	CCONJ
fuelectenerg-618	835	26	the	the	DET
fuelectenerg-618	835	27	associated	associated	ADJ
fuelectenerg-618	835	28	boolean	boolean	ADJ
fuelectenerg-618	835	29	equation	equation	NOUN
fuelectenerg-618	835	30	is	be	AUX
fuelectenerg-618	835	31	solved	solve	VERB
fuelectenerg-618	835	32	in	in	ADP
fuelectenerg-618	835	33	lines	line	NOUN
fuelectenerg-618	835	34	9	9	NUM
fuelectenerg-618	835	35	to	to	ADP
fuelectenerg-618	835	36	12	12	NUM
fuelectenerg-618	835	37	.	.	PUNCT
fuelectenerg-618	836	1	the	the	DET
fuelectenerg-618	836	2	bde	bde	PROPN
fuelectenerg-618	836	3	(	(	PUNCT
fuelectenerg-618	836	4	57	57	NUM
fuelectenerg-618	836	5	)	)	PUNCT
fuelectenerg-618	836	6	contains	contain	VERB
fuelectenerg-618	836	7	only	only	ADV
fuelectenerg-618	836	8	f	f	PROPN
fuelectenerg-618	836	9	(	(	PUNCT
fuelectenerg-618	836	10	x	x	NOUN
fuelectenerg-618	836	11	)	)	PUNCT
fuelectenerg-618	836	12	and	and	CCONJ
fuelectenerg-618	836	13	two	two	NUM
fuelectenerg-618	836	14	vectorial	vectorial	ADJ
fuelectenerg-618	836	15	derivatives	derivative	NOUN
fuelectenerg-618	836	16	out	out	ADP
fuelectenerg-618	836	17	of	of	ADP
fuelectenerg-618	836	18	the	the	DET
fuelectenerg-618	836	19	vector	vector	NOUN
fuelectenerg-618	836	20	∇	∇	X
fuelectenerg-618	836	21	f	f	X
fuelectenerg-618	836	22	(	(	PUNCT
fuelectenerg-618	836	23	x	x	X
fuelectenerg-618	836	24	)	)	PUNCT
fuelectenerg-618	836	25	so	so	SCONJ
fuelectenerg-618	836	26	that	that	SCONJ
fuelectenerg-618	836	27	the	the	DET
fuelectenerg-618	836	28	transformation	transformation	NOUN
fuelectenerg-618	836	29	d2v	d2v	PROPN
fuelectenerg-618	836	30	can	can	AUX
fuelectenerg-618	836	31	be	be	AUX
fuelectenerg-618	836	32	restricted	restrict	VERB
fuelectenerg-618	836	33	to	to	ADP
fuelectenerg-618	836	34	the	the	DET
fuelectenerg-618	836	35	mapping	mapping	NOUN
fuelectenerg-618	836	36	of	of	ADP
fuelectenerg-618	836	37	u0	u0	PROPN
fuelectenerg-618	836	38	to	to	ADP
fuelectenerg-618	836	39	v0	v0	PROPN
fuelectenerg-618	836	40	,	,	PUNCT
fuelectenerg-618	836	41	u5	u5	PROPN
fuelectenerg-618	836	42	to	to	PART
fuelectenerg-618	836	43	v5	v5	VERB
fuelectenerg-618	836	44	,	,	PUNCT
fuelectenerg-618	836	45	and	and	CCONJ
fuelectenerg-618	836	46	u10	u10	PROPN
fuelectenerg-618	836	47	to	to	ADP
fuelectenerg-618	836	48	v10	v10	NOUN
fuelectenerg-618	836	49	,	,	PUNCT
fuelectenerg-618	836	50	in	in	ADP
fuelectenerg-618	836	51	lines	line	NOUN
fuelectenerg-618	836	52	13	13	NUM
fuelectenerg-618	836	53	to	to	PART
fuelectenerg-618	836	54	20	20	NUM
fuelectenerg-618	836	55	.	.	PUNCT
fuelectenerg-618	837	1	due	due	ADP
fuelectenerg-618	837	2	to	to	ADP
fuelectenerg-618	837	3	the	the	DET
fuelectenerg-618	837	4	existing	exist	VERB
fuelectenerg-618	837	5	variables	variable	NOUN
fuelectenerg-618	837	6	xi	xi	ADP
fuelectenerg-618	837	7	algorithm	algorithm	PROPN
fuelectenerg-618	837	8	2	2	NUM
fuelectenerg-618	837	9	must	must	AUX
fuelectenerg-618	837	10	be	be	AUX
fuelectenerg-618	837	11	used	use	VERB
fuelectenerg-618	837	12	to	to	PART
fuelectenerg-618	837	13	separate	separate	VERB
fuelectenerg-618	837	14	the	the	DET
fuelectenerg-618	837	15	set	set	NOUN
fuelectenerg-618	837	16	of	of	ADP
fuelectenerg-618	837	17	solution	solution	NOUN
fuelectenerg-618	837	18	functions	function	NOUN
fuelectenerg-618	837	19	which	which	PRON
fuelectenerg-618	837	20	have	have	VERB
fuelectenerg-618	837	21	the	the	DET
fuelectenerg-618	837	22	structure	structure	NOUN
fuelectenerg-618	837	23	of	of	ADP
fuelectenerg-618	837	24	a	a	DET
fuelectenerg-618	837	25	lattice	lattice	NOUN
fuelectenerg-618	837	26	due	due	ADP
fuelectenerg-618	837	27	to	to	ADP
fuelectenerg-618	837	28	the	the	DET
fuelectenerg-618	837	29	structure	structure	NOUN
fuelectenerg-618	837	30	of	of	ADP
fuelectenerg-618	837	31	the	the	DET
fuelectenerg-618	837	32	bde	bde	PROPN
fuelectenerg-618	837	33	to	to	PART
fuelectenerg-618	837	34	be	be	AUX
fuelectenerg-618	837	35	solved	solve	VERB
fuelectenerg-618	837	36	.	.	PUNCT
fuelectenerg-618	838	1	all	all	DET
fuelectenerg-618	838	2	steps	step	NOUN
fuelectenerg-618	838	3	of	of	ADP
fuelectenerg-618	838	4	the	the	DET
fuelectenerg-618	838	5	loop	loop	NOUN
fuelectenerg-618	838	6	of	of	ADP
fuelectenerg-618	838	7	lines	line	NOUN
fuelectenerg-618	838	8	3	3	NUM
fuelectenerg-618	838	9	to	to	PART
fuelectenerg-618	838	10	8	8	NUM
fuelectenerg-618	838	11	of	of	ADP
fuelectenerg-618	838	12	algorithm	algorithm	NOUN
fuelectenerg-618	838	13	2	2	NUM
fuelectenerg-618	838	14	are	be	AUX
fuelectenerg-618	838	15	realized	realize	VERB
fuelectenerg-618	838	16	in	in	ADP
fuelectenerg-618	838	17	lines	line	NOUN
fuelectenerg-618	838	18	21	21	NUM
fuelectenerg-618	838	19	to	to	PART
fuelectenerg-618	838	20	80	80	NUM
fuelectenerg-618	838	21	of	of	ADP
fuelectenerg-618	838	22	the	the	DET
fuelectenerg-618	838	23	prp	prp	NOUN
fuelectenerg-618	838	24	in	in	ADP
fuelectenerg-618	838	25	figure	figure	NOUN
fuelectenerg-618	838	26	7	7	NUM
fuelectenerg-618	838	27	.	.	PUNCT
fuelectenerg-618	839	1	the	the	DET
fuelectenerg-618	839	2	lines	line	NOUN
fuelectenerg-618	839	3	21	21	NUM
fuelectenerg-618	839	4	to	to	PART
fuelectenerg-618	839	5	35	35	NUM
fuelectenerg-618	839	6	of	of	ADP
fuelectenerg-618	839	7	the	the	DET
fuelectenerg-618	839	8	prp	prp	NOUN
fuelectenerg-618	839	9	describe	describe	VERB
fuelectenerg-618	839	10	the	the	DET
fuelectenerg-618	839	11	first	first	ADJ
fuelectenerg-618	839	12	sweep	sweep	NOUN
fuelectenerg-618	839	13	of	of	ADP
fuelectenerg-618	839	14	this	this	DET
fuelectenerg-618	839	15	loop	loop	NOUN
fuelectenerg-618	839	16	for	for	ADP
fuelectenerg-618	839	17	x1	x1	PROPN
fuelectenerg-618	839	18	.	.	PUNCT
fuelectenerg-618	840	1	the	the	DET
fuelectenerg-618	840	2	indices	index	NOUN
fuelectenerg-618	840	3	of	of	ADP
fuelectenerg-618	840	4	the	the	DET
fuelectenerg-618	840	5	variables	variable	NOUN
fuelectenerg-618	840	6	vi	vi	PROPN
fuelectenerg-618	840	7	are	be	AUX
fuelectenerg-618	840	8	taken	take	VERB
fuelectenerg-618	840	9	from	from	ADP
fuelectenerg-618	840	10	the	the	DET
fuelectenerg-618	840	11	column	column	NOUN
fuelectenerg-618	840	12	i	i	NOUN
fuelectenerg-618	840	13	=	=	NOUN
fuelectenerg-618	840	14	1	1	NUM
fuelectenerg-618	840	15	of	of	ADP
fuelectenerg-618	840	16	table	table	NOUN
fuelectenerg-618	840	17	3	3	NUM
fuelectenerg-618	840	18	where	where	SCONJ
fuelectenerg-618	840	19	the	the	DET
fuelectenerg-618	840	20	vt	vt	PROPN
fuelectenerg-618	840	21	11	11	NUM
fuelectenerg-618	840	22	uses	use	VERB
fuelectenerg-618	840	23	the	the	DET
fuelectenerg-618	840	24	left	left	ADJ
fuelectenerg-618	840	25	values	value	NOUN
fuelectenerg-618	840	26	and	and	CCONJ
fuelectenerg-618	840	27	the	the	DET
fuelectenerg-618	840	28	vt	vt	PROPN
fuelectenerg-618	840	29	12	12	NUM
fuelectenerg-618	840	30	the	the	DET
fuelectenerg-618	840	31	right	right	ADJ
fuelectenerg-618	840	32	values	value	NOUN
fuelectenerg-618	840	33	.	.	PUNCT
fuelectenerg-618	841	1	the	the	DET
fuelectenerg-618	841	2	intermediate	intermediate	ADJ
fuelectenerg-618	841	3	solution	solution	NOUN
fuelectenerg-618	841	4	of	of	ADP
fuelectenerg-618	841	5	this	this	DET
fuelectenerg-618	841	6	sweep	sweep	NOUN
fuelectenerg-618	841	7	is	be	AUX
fuelectenerg-618	841	8	stored	store	VERB
fuelectenerg-618	841	9	to	to	ADP
fuelectenerg-618	841	10	the	the	DET
fuelectenerg-618	841	11	same	same	ADJ
fuelectenerg-618	841	12	xboole	xboole	NOUN
fuelectenerg-618	841	13	-	-	PUNCT
fuelectenerg-618	841	14	object	object	NOUN
fuelectenerg-618	841	15	5	5	NUM
fuelectenerg-618	841	16	that	that	PRON
fuelectenerg-618	841	17	represent	represent	VERB
fuelectenerg-618	841	18	the	the	DET
fuelectenerg-618	841	19	function	function	NOUN
fuelectenerg-618	841	20	s	s	PROPN
fuelectenerg-618	841	21	of	of	ADP
fuelectenerg-618	841	22	algorithm	algorithm	NOUN
fuelectenerg-618	841	23	2	2	NUM
fuelectenerg-618	841	24	.	.	PUNCT
fuelectenerg-618	842	1	hence	hence	ADV
fuelectenerg-618	842	2	,	,	PUNCT
fuelectenerg-618	842	3	the	the	DET
fuelectenerg-618	842	4	fragment	fragment	NOUN
fuelectenerg-618	842	5	of	of	ADP
fuelectenerg-618	842	6	lines	line	NOUN
fuelectenerg-618	842	7	21	21	NUM
fuelectenerg-618	842	8	to	to	PART
fuelectenerg-618	842	9	35	35	NUM
fuelectenerg-618	842	10	of	of	ADP
fuelectenerg-618	842	11	the	the	DET
fuelectenerg-618	842	12	first	first	ADJ
fuelectenerg-618	842	13	sweep	sweep	NOUN
fuelectenerg-618	842	14	of	of	ADP
fuelectenerg-618	842	15	the	the	DET
fuelectenerg-618	842	16	loop	loop	NOUN
fuelectenerg-618	842	17	can	can	AUX
fuelectenerg-618	842	18	be	be	AUX
fuelectenerg-618	842	19	reused	reuse	VERB
fuelectenerg-618	842	20	in	in	ADP
fuelectenerg-618	842	21	lines	line	NOUN
fuelectenerg-618	842	22	36	36	NUM
fuelectenerg-618	842	23	to	to	PART
fuelectenerg-618	842	24	50	50	NUM
fuelectenerg-618	842	25	for	for	ADP
fuelectenerg-618	842	26	the	the	DET
fuelectenerg-618	842	27	second	second	ADJ
fuelectenerg-618	842	28	sweep	sweep	NOUN
fuelectenerg-618	842	29	with	with	ADP
fuelectenerg-618	842	30	x2	x2	PROPN
fuelectenerg-618	842	31	and	and	CCONJ
fuelectenerg-618	842	32	the	the	DET
fuelectenerg-618	842	33	vts	vts	NOUN
fuelectenerg-618	842	34	specified	specify	VERB
fuelectenerg-618	842	35	by	by	ADP
fuelectenerg-618	842	36	column	column	NOUN
fuelectenerg-618	842	37	i	i	NOUN
fuelectenerg-618	842	38	=	=	NOUN
fuelectenerg-618	842	39	2	2	NUM
fuelectenerg-618	842	40	of	of	ADP
fuelectenerg-618	842	41	table	table	NOUN
fuelectenerg-618	842	42	3	3	NUM
fuelectenerg-618	842	43	,	,	PUNCT
fuelectenerg-618	842	44	in	in	ADP
fuelectenerg-618	842	45	lines	line	NOUN
fuelectenerg-618	842	46	51	51	NUM
fuelectenerg-618	842	47	to	to	PART
fuelectenerg-618	842	48	65	65	NUM
fuelectenerg-618	842	49	for	for	ADP
fuelectenerg-618	842	50	the	the	DET
fuelectenerg-618	842	51	third	third	ADJ
fuelectenerg-618	842	52	sweep	sweep	NOUN
fuelectenerg-618	842	53	with	with	ADP
fuelectenerg-618	842	54	x3	x3	ADJ
fuelectenerg-618	842	55	and	and	CCONJ
fuelectenerg-618	842	56	the	the	DET
fuelectenerg-618	842	57	vts	vts	NOUN
fuelectenerg-618	842	58	specified	specify	VERB
fuelectenerg-618	842	59	by	by	ADP
fuelectenerg-618	842	60	column	column	NOUN
fuelectenerg-618	842	61	i=	i=	PROPN
fuelectenerg-618	842	62	3	3	NUM
fuelectenerg-618	842	63	,	,	PUNCT
fuelectenerg-618	842	64	and	and	CCONJ
fuelectenerg-618	842	65	finally	finally	ADV
fuelectenerg-618	842	66	in	in	ADP
fuelectenerg-618	842	67	lines	line	NOUN
fuelectenerg-618	842	68	66	66	NUM
fuelectenerg-618	842	69	to	to	PART
fuelectenerg-618	842	70	80	80	NUM
fuelectenerg-618	842	71	for	for	ADP
fuelectenerg-618	842	72	the	the	DET
fuelectenerg-618	842	73	fourth	fourth	ADJ
fuelectenerg-618	842	74	sweep	sweep	NOUN
fuelectenerg-618	842	75	with	with	ADP
fuelectenerg-618	842	76	x4	x4	PROPN
fuelectenerg-618	842	77	and	and	CCONJ
fuelectenerg-618	842	78	the	the	DET
fuelectenerg-618	842	79	vts	vts	NOUN
fuelectenerg-618	842	80	specified	specify	VERB
fuelectenerg-618	842	81	by	by	ADP
fuelectenerg-618	842	82	column	column	NOUN
fuelectenerg-618	842	83	i	i	NOUN
fuelectenerg-618	842	84	=	=	NOUN
fuelectenerg-618	842	85	4	4	NUM
fuelectenerg-618	842	86	of	of	ADP
fuelectenerg-618	842	87	table	table	NOUN
fuelectenerg-618	842	88	3	3	NUM
fuelectenerg-618	842	89	,	,	PUNCT
fuelectenerg-618	842	90	respectively	respectively	ADV
fuelectenerg-618	842	91	.	.	PUNCT
fuelectenerg-618	843	1	table	table	NOUN
fuelectenerg-618	843	2	7	7	NUM
fuelectenerg-618	843	3	enumerates	enumerate	VERB
fuelectenerg-618	843	4	the	the	DET
fuelectenerg-618	843	5	four	four	NUM
fuelectenerg-618	843	6	solution	solution	NOUN
fuelectenerg-618	843	7	functions	function	NOUN
fuelectenerg-618	843	8	of	of	ADP
fuelectenerg-618	843	9	the	the	DET
fuelectenerg-618	843	10	bde	bde	PROPN
fuelectenerg-618	843	11	(	(	PUNCT
fuelectenerg-618	843	12	57	57	NUM
fuelectenerg-618	843	13	)	)	PUNCT
fuelectenerg-618	843	14	calculated	calculate	VERB
fuelectenerg-618	843	15	by	by	ADP
fuelectenerg-618	843	16	the	the	DET
fuelectenerg-618	843	17	xboole	xboole	NOUN
fuelectenerg-618	843	18	-	-	PUNCT
fuelectenerg-618	843	19	monitor	monitor	NOUN
fuelectenerg-618	843	20	using	use	VERB
fuelectenerg-618	843	21	the	the	DET
fuelectenerg-618	843	22	prp	prp	NOUN
fuelectenerg-618	843	23	of	of	ADP
fuelectenerg-618	843	24	figure	figure	NOUN
fuelectenerg-618	843	25	7	7	NUM
fuelectenerg-618	843	26	.	.	PUNCT
fuelectenerg-618	844	1	the	the	DET
fuelectenerg-618	844	2	function	function	NOUN
fuelectenerg-618	844	3	values	value	NOUN
fuelectenerg-618	844	4	in	in	ADP
fuelectenerg-618	844	5	the	the	DET
fuelectenerg-618	844	6	columns	column	NOUN
fuelectenerg-618	844	7	v0	v0	NOUN
fuelectenerg-618	844	8	,	,	PUNCT
fuelectenerg-618	844	9	.	.	PUNCT
fuelectenerg-618	844	10	.	.	PUNCT
fuelectenerg-618	844	11	.	.	PUNCT
fuelectenerg-618	845	1	,	,	PUNCT
fuelectenerg-618	845	2	v15	v15	NOUN
fuelectenerg-618	845	3	confirm	confirm	VERB
fuelectenerg-618	845	4	that	that	SCONJ
fuelectenerg-618	845	5	the	the	DET
fuelectenerg-618	845	6	calculated	calculated	ADJ
fuelectenerg-618	845	7	four	four	NUM
fuelectenerg-618	845	8	functions	function	NOUN
fuelectenerg-618	845	9	form	form	VERB
fuelectenerg-618	845	10	a	a	DET
fuelectenerg-618	845	11	lattice	lattice	NOUN
fuelectenerg-618	845	12	.	.	PUNCT
fuelectenerg-618	846	1	it	it	PRON
fuelectenerg-618	846	2	can	can	AUX
fuelectenerg-618	846	3	also	also	ADV
fuelectenerg-618	846	4	be	be	AUX
fuelectenerg-618	846	5	seen	see	VERB
fuelectenerg-618	846	6	in	in	ADP
fuelectenerg-618	846	7	these	these	DET
fuelectenerg-618	846	8	columns	column	NOUN
fuelectenerg-618	846	9	that	that	SCONJ
fuelectenerg-618	846	10	not	not	PART
fuelectenerg-618	846	11	all	all	DET
fuelectenerg-618	846	12	functions	function	NOUN
fuelectenerg-618	846	13	which	which	PRON
fuelectenerg-618	846	14	are	be	AUX
fuelectenerg-618	846	15	smaller	small	ADJ
fuelectenerg-618	846	16	than	than	ADP
fuelectenerg-618	846	17	the	the	DET
fuelectenerg-618	846	18	supremum	supremum	ADJ
fuelectenerg-618	846	19	f1	f1	NOUN
fuelectenerg-618	846	20	and	and	CCONJ
fuelectenerg-618	846	21	larger	large	ADJ
fuelectenerg-618	846	22	than	than	ADP
fuelectenerg-618	846	23	the	the	DET
fuelectenerg-618	846	24	infimum	infimum	ADJ
fuelectenerg-618	846	25	f4	f4	ADJ
fuelectenerg-618	846	26	belong	belong	NOUN
fuelectenerg-618	846	27	to	to	ADP
fuelectenerg-618	846	28	this	this	DET
fuelectenerg-618	846	29	generalized	generalized	ADJ
fuelectenerg-618	846	30	lattice	lattice	NOUN
fuelectenerg-618	846	31	of	of	ADP
fuelectenerg-618	846	32	boolean	boolean	ADJ
fuelectenerg-618	846	33	functions	function	NOUN
fuelectenerg-618	846	34	.	.	PUNCT
fuelectenerg-618	847	1	boolean	boolean	ADJ
fuelectenerg-618	847	2	differential	differential	ADJ
fuelectenerg-618	847	3	equations	equation	NOUN
fuelectenerg-618	847	4	a	a	DET
fuelectenerg-618	847	5	common	common	ADJ
fuelectenerg-618	847	6	model	model	NOUN
fuelectenerg-618	847	7	for	for	ADP
fuelectenerg-618	847	8	classes	class	NOUN
fuelectenerg-618	847	9	,	,	PUNCT
fuelectenerg-618	847	10	lattices	lattice	NOUN
fuelectenerg-618	847	11	,	,	PUNCT
fuelectenerg-618	847	12	...	...	PUNCT
fuelectenerg-618	847	13	123	123	NUM
fuelectenerg-618	847	14	1	1	NUM
fuelectenerg-618	847	15	s	s	VERB
fuelectenerg-618	847	16	p	p	NOUN
fuelectenerg-618	847	17	a	a	PRON
fuelectenerg-618	847	18	c	c	NOUN
fuelectenerg-618	847	19	e	e	NOUN
fuelectenerg-618	847	20	32	32	NUM
fuelectenerg-618	847	21	1	1	NUM
fuelectenerg-618	847	22	2	2	NUM
fuelectenerg-618	847	23	a	a	DET
fuelectenerg-618	847	24	v	v	NOUN
fuelectenerg-618	847	25	a	a	DET
fuelectenerg-618	847	26	r	r	NOUN
fuelectenerg-618	847	27	1	1	NUM
fuelectenerg-618	847	28	3	3	NUM
fuelectenerg-618	847	29	u0	u0	PROPN
fuelectenerg-618	847	30	u5	u5	PROPN
fuelectenerg-618	847	31	u10	u10	PROPN
fuelectenerg-618	847	32	4	4	NUM
fuelectenerg-618	847	33	v0	v0	NOUN
fuelectenerg-618	847	34	v1	v1	NOUN
fuelectenerg-618	847	35	v2	v2	PROPN
fuelectenerg-618	847	36	v3	v3	PROPN
fuelectenerg-618	847	37	5	5	NUM
fuelectenerg-618	847	38	v4	v4	PROPN
fuelectenerg-618	847	39	v5	v5	PROPN
fuelectenerg-618	847	40	v6	v6	NOUN
fuelectenerg-618	847	41	v7	v7	VERB
fuelectenerg-618	847	42	6	6	NUM
fuelectenerg-618	847	43	v8	v8	PROPN
fuelectenerg-618	847	44	v9	v9	PROPN
fuelectenerg-618	847	45	v10	v10	PROPN
fuelectenerg-618	847	46	v11	v11	NOUN
fuelectenerg-618	847	47	7	7	NUM
fuelectenerg-618	847	48	v12	v12	VERB
fuelectenerg-618	847	49	v13	v13	NOUN
fuelectenerg-618	847	50	v14	v14	NOUN
fuelectenerg-618	847	51	v15	v15	NOUN
fuelectenerg-618	847	52	8	8	NUM
fuelectenerg-618	847	53	x1	x1	NOUN
fuelectenerg-618	848	1	x2	x2	NOUN
fuelectenerg-618	848	2	x3	x3	PROPN
fuelectenerg-618	848	3	x4	x4	PROPN
fuelectenerg-618	848	4	.	.	PUNCT
fuelectenerg-618	849	1	9	9	NUM
fuelectenerg-618	849	2	sbe	sbe	VERB
fuelectenerg-618	849	3	1	1	NUM
fuelectenerg-618	849	4	1	1	NUM
fuelectenerg-618	849	5	10	10	NUM
fuelectenerg-618	849	6	/	/	SYM
fuelectenerg-618	849	7	u0	u0	PROPN
fuelectenerg-618	849	8	&	&	CCONJ
fuelectenerg-618	849	9	(	(	PUNCT
fuelectenerg-618	849	10	/	/	SYM
fuelectenerg-618	849	11	(	(	PUNCT
fuelectenerg-618	849	12	x1#x3	x1#x3	X
fuelectenerg-618	849	13	)	)	PUNCT
fuelectenerg-618	849	14	&	&	CCONJ
fuelectenerg-618	849	15	(	(	PUNCT
fuelectenerg-618	849	16	x2#x4	x2#x4	PROPN
fuelectenerg-618	849	17	)	)	PUNCT
fuelectenerg-618	849	18	)	)	PUNCT
fuelectenerg-618	850	1	+	+	CCONJ
fuelectenerg-618	850	2	11	11	NUM
fuelectenerg-618	850	3	u0	u0	NOUN
fuelectenerg-618	850	4	&	&	CCONJ
fuelectenerg-618	850	5	(	(	PUNCT
fuelectenerg-618	850	6	(	(	PUNCT
fuelectenerg-618	850	7	x1#x3	x1#x3	X
fuelectenerg-618	850	8	)	)	PUNCT
fuelectenerg-618	850	9	&	&	CCONJ
fuelectenerg-618	850	10	(	(	PUNCT
fuelectenerg-618	850	11	x2#x4	x2#x4	PROPN
fuelectenerg-618	850	12	)	)	PUNCT
fuelectenerg-618	850	13	)	)	PUNCT
fuelectenerg-618	851	1	+	+	CCONJ
fuelectenerg-618	851	2	12	12	NUM
fuelectenerg-618	851	3	u5+u10	u5+u10	PROPN
fuelectenerg-618	851	4	=	=	SYM
fuelectenerg-618	851	5	0	0	NUM
fuelectenerg-618	851	6	.	.	PUNCT
fuelectenerg-618	851	7	13	13	NUM
fuelectenerg-618	851	8	sbe	sbe	VERB
fuelectenerg-618	851	9	1	1	NUM
fuelectenerg-618	851	10	2	2	NUM
fuelectenerg-618	851	11	14	14	NUM
fuelectenerg-618	851	12	v0	v0	NOUN
fuelectenerg-618	851	13	=	=	SYM
fuelectenerg-618	851	14	u0	u0	ADJ
fuelectenerg-618	851	15	,	,	PUNCT
fuelectenerg-618	851	16	15	15	NUM
fuelectenerg-618	851	17	v5	v5	NOUN
fuelectenerg-618	851	18	=	=	NOUN
fuelectenerg-618	851	19	u0#u5	u0#u5	ADJ
fuelectenerg-618	851	20	,	,	PUNCT
fuelectenerg-618	851	21	16	16	NUM
fuelectenerg-618	851	22	v10	v10	NOUN
fuelectenerg-618	851	23	=	=	SYM
fuelectenerg-618	851	24	u0	u0	NOUN
fuelectenerg-618	851	25	#	#	NOUN
fuelectenerg-618	851	26	u10	u10	NOUN
fuelectenerg-618	851	27	.	.	PUNCT
fuelectenerg-618	852	1	17	17	NUM
fuelectenerg-618	853	1	i	i	PRON
fuelectenerg-618	853	2	s	s	VERB
fuelectenerg-618	853	3	c	c	NOUN
fuelectenerg-618	853	4	1	1	NUM
fuelectenerg-618	853	5	2	2	NUM
fuelectenerg-618	853	6	3	3	NUM
fuelectenerg-618	853	7	18	18	NUM
fuelectenerg-618	853	8	v	v	NOUN
fuelectenerg-618	853	9	t	t	NOUN
fuelectenerg-618	854	1	i	i	PRON
fuelectenerg-618	854	2	n	n	NOUN
fuelectenerg-618	854	3	1	1	NUM
fuelectenerg-618	854	4	4	4	NUM
fuelectenerg-618	854	5	19	19	NUM
fuelectenerg-618	854	6	u0	u0	PROPN
fuelectenerg-618	854	7	u5	u5	PROPN
fuelectenerg-618	854	8	u10	u10	PROPN
fuelectenerg-618	854	9	.	.	PUNCT
fuelectenerg-618	855	1	20	20	NUM
fuelectenerg-618	855	2	maxk	maxk	NOUN
fuelectenerg-618	855	3	3	3	NUM
fuelectenerg-618	855	4	4	4	NUM
fuelectenerg-618	855	5	5	5	NUM
fuelectenerg-618	855	6	21	21	NUM
fuelectenerg-618	855	7	sbe	sbe	NOUN
fuelectenerg-618	855	8	1	1	NUM
fuelectenerg-618	855	9	6	6	NUM
fuelectenerg-618	855	10	22	22	NUM
fuelectenerg-618	855	11	x1	x1	NOUN
fuelectenerg-618	856	1	=	=	NOUN
fuelectenerg-618	856	2	0	0	NUM
fuelectenerg-618	856	3	.	.	PUNCT
fuelectenerg-618	857	1	23	23	NUM
fuelectenerg-618	858	1	i	i	PRON
fuelectenerg-618	858	2	s	s	VERB
fuelectenerg-618	858	3	c	c	NOUN
fuelectenerg-618	858	4	5	5	NUM
fuelectenerg-618	858	5	6	6	NUM
fuelectenerg-618	858	6	7	7	NUM
fuelectenerg-618	858	7	24	24	NUM
fuelectenerg-618	858	8	maxk	maxk	NOUN
fuelectenerg-618	858	9	7	7	NUM
fuelectenerg-618	858	10	6	6	NUM
fuelectenerg-618	858	11	8	8	NUM
fuelectenerg-618	858	12	25	25	NUM
fuelectenerg-618	858	13	c	c	NOUN
fuelectenerg-618	858	14	p	p	PROPN
fuelectenerg-618	858	15	l	l	NOUN
fuelectenerg-618	858	16	6	6	NUM
fuelectenerg-618	858	17	6	6	NUM
fuelectenerg-618	858	18	26	26	NUM
fuelectenerg-618	859	1	i	i	PRON
fuelectenerg-618	859	2	s	s	NOUN
fuelectenerg-618	859	3	c	c	NOUN
fuelectenerg-618	859	4	5	5	NUM
fuelectenerg-618	859	5	6	6	NUM
fuelectenerg-618	859	6	9	9	NUM
fuelectenerg-618	859	7	27	27	NUM
fuelectenerg-618	859	8	maxk	maxk	NOUN
fuelectenerg-618	859	9	9	9	NUM
fuelectenerg-618	859	10	6	6	NUM
fuelectenerg-618	859	11	10	10	NUM
fuelectenerg-618	859	12	28	28	NUM
fuelectenerg-618	859	13	v	v	ADP
fuelectenerg-618	859	14	t	t	NOUN
fuelectenerg-618	860	1	i	i	PRON
fuelectenerg-618	860	2	n	n	NOUN
fuelectenerg-618	860	3	1	1	NUM
fuelectenerg-618	860	4	11	11	NUM
fuelectenerg-618	860	5	29	29	NUM
fuelectenerg-618	860	6	v0	v0	NOUN
fuelectenerg-618	860	7	v2	v2	PROPN
fuelectenerg-618	860	8	v4	v4	PROPN
fuelectenerg-618	860	9	v6	v6	NOUN
fuelectenerg-618	860	10	30	30	NUM
fuelectenerg-618	860	11	v8	v8	PROPN
fuelectenerg-618	860	12	v10	v10	NOUN
fuelectenerg-618	860	13	v12	v12	VERB
fuelectenerg-618	860	14	v14	v14	NOUN
fuelectenerg-618	860	15	.	.	PUNCT
fuelectenerg-618	861	1	31	31	NUM
fuelectenerg-618	862	1	v	v	ADP
fuelectenerg-618	862	2	t	t	X
fuelectenerg-618	863	1	i	i	PRON
fuelectenerg-618	863	2	n	n	NOUN
fuelectenerg-618	863	3	1	1	NUM
fuelectenerg-618	863	4	12	12	NUM
fuelectenerg-618	863	5	32	32	NUM
fuelectenerg-618	863	6	v1	v1	NOUN
fuelectenerg-618	863	7	v3	v3	PROPN
fuelectenerg-618	863	8	v5	v5	PROPN
fuelectenerg-618	863	9	v7	v7	VERB
fuelectenerg-618	863	10	33	33	NUM
fuelectenerg-618	863	11	v9	v9	NOUN
fuelectenerg-618	863	12	v11	v11	NOUN
fuelectenerg-618	863	13	v13	v13	NOUN
fuelectenerg-618	863	14	v15	v15	NOUN
fuelectenerg-618	863	15	.	.	PUNCT
fuelectenerg-618	864	1	34	34	NUM
fuelectenerg-618	864	2	cco	cco	PROPN
fuelectenerg-618	864	3	10	10	NUM
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fuelectenerg-618	864	5	12	12	NUM
fuelectenerg-618	864	6	13	13	NUM
fuelectenerg-618	864	7	35	35	NUM
fuelectenerg-618	865	1	i	i	PRON
fuelectenerg-618	865	2	s	s	NOUN
fuelectenerg-618	865	3	c	c	NOUN
fuelectenerg-618	865	4	8	8	NUM
fuelectenerg-618	865	5	13	13	NUM
fuelectenerg-618	865	6	5	5	NUM
fuelectenerg-618	865	7	36	36	NUM
fuelectenerg-618	865	8	sbe	sbe	NOUN
fuelectenerg-618	865	9	1	1	NUM
fuelectenerg-618	865	10	6	6	NUM
fuelectenerg-618	865	11	37	37	NUM
fuelectenerg-618	865	12	x2	x2	NOUN
fuelectenerg-618	866	1	=	=	NOUN
fuelectenerg-618	866	2	0	0	NUM
fuelectenerg-618	866	3	.	.	PUNCT
fuelectenerg-618	867	1	38	38	NUM
fuelectenerg-618	868	1	i	i	PRON
fuelectenerg-618	868	2	s	s	VERB
fuelectenerg-618	868	3	c	c	NOUN
fuelectenerg-618	868	4	5	5	NUM
fuelectenerg-618	868	5	6	6	NUM
fuelectenerg-618	868	6	7	7	NUM
fuelectenerg-618	868	7	39	39	NUM
fuelectenerg-618	868	8	maxk	maxk	NOUN
fuelectenerg-618	868	9	7	7	NUM
fuelectenerg-618	868	10	6	6	NUM
fuelectenerg-618	868	11	8	8	NUM
fuelectenerg-618	868	12	40	40	NUM
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fuelectenerg-618	868	15	l	l	NOUN
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fuelectenerg-618	868	17	6	6	NUM
fuelectenerg-618	868	18	41	41	NUM
fuelectenerg-618	869	1	i	i	PRON
fuelectenerg-618	869	2	s	s	NOUN
fuelectenerg-618	869	3	c	c	NOUN
fuelectenerg-618	869	4	5	5	NUM
fuelectenerg-618	869	5	6	6	NUM
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fuelectenerg-618	869	7	42	42	NUM
fuelectenerg-618	869	8	maxk	maxk	NOUN
fuelectenerg-618	869	9	9	9	NUM
fuelectenerg-618	869	10	6	6	NUM
fuelectenerg-618	869	11	10	10	NUM
fuelectenerg-618	869	12	43	43	NUM
fuelectenerg-618	869	13	v	v	ADP
fuelectenerg-618	869	14	t	t	X
fuelectenerg-618	870	1	i	i	PRON
fuelectenerg-618	870	2	n	n	NOUN
fuelectenerg-618	870	3	1	1	NUM
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fuelectenerg-618	870	6	v0	v0	NOUN
fuelectenerg-618	870	7	v1	v1	NOUN
fuelectenerg-618	870	8	v4	v4	NOUN
fuelectenerg-618	870	9	v5	v5	NOUN
fuelectenerg-618	870	10	45	45	NUM
fuelectenerg-618	870	11	v8	v8	PROPN
fuelectenerg-618	870	12	v9	v9	PROPN
fuelectenerg-618	870	13	v12	v12	VERB
fuelectenerg-618	870	14	v13	v13	NOUN
fuelectenerg-618	870	15	.	.	PUNCT
fuelectenerg-618	871	1	46	46	NUM
fuelectenerg-618	871	2	v	v	NUM
fuelectenerg-618	871	3	t	t	X
fuelectenerg-618	872	1	i	i	PRON
fuelectenerg-618	872	2	n	n	PROPN
fuelectenerg-618	872	3	1	1	NUM
fuelectenerg-618	872	4	12	12	NUM
fuelectenerg-618	872	5	47	47	NUM
fuelectenerg-618	872	6	v2	v2	PROPN
fuelectenerg-618	872	7	v3	v3	PROPN
fuelectenerg-618	872	8	v6	v6	NOUN
fuelectenerg-618	872	9	v7	v7	VERB
fuelectenerg-618	872	10	48	48	NUM
fuelectenerg-618	872	11	v10	v10	NOUN
fuelectenerg-618	872	12	v11	v11	NOUN
fuelectenerg-618	872	13	v14	v14	NOUN
fuelectenerg-618	872	14	v15	v15	NOUN
fuelectenerg-618	872	15	.	.	PUNCT
fuelectenerg-618	873	1	49	49	NUM
fuelectenerg-618	873	2	cco	cco	PROPN
fuelectenerg-618	873	3	10	10	NUM
fuelectenerg-618	873	4	11	11	NUM
fuelectenerg-618	873	5	12	12	NUM
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fuelectenerg-618	873	7	50	50	NUM
fuelectenerg-618	874	1	i	i	PRON
fuelectenerg-618	874	2	s	s	VERB
fuelectenerg-618	874	3	c	c	NOUN
fuelectenerg-618	874	4	8	8	NUM
fuelectenerg-618	874	5	13	13	NUM
fuelectenerg-618	874	6	5	5	NUM
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fuelectenerg-618	874	8	sbe	sbe	NOUN
fuelectenerg-618	874	9	1	1	NUM
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fuelectenerg-618	874	11	52	52	NUM
fuelectenerg-618	874	12	x3	x3	NOUN
fuelectenerg-618	874	13	=	=	NOUN
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fuelectenerg-618	874	15	.	.	PUNCT
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fuelectenerg-618	876	1	i	i	PRON
fuelectenerg-618	876	2	s	s	VERB
fuelectenerg-618	876	3	c	c	NOUN
fuelectenerg-618	876	4	5	5	NUM
fuelectenerg-618	876	5	6	6	NUM
fuelectenerg-618	876	6	7	7	NUM
fuelectenerg-618	876	7	54	54	NUM
fuelectenerg-618	876	8	maxk	maxk	NOUN
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fuelectenerg-618	876	15	l	l	NOUN
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fuelectenerg-618	876	17	6	6	NUM
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fuelectenerg-618	876	19	i	i	PRON
fuelectenerg-618	876	20	s	s	NOUN
fuelectenerg-618	876	21	c	c	NOUN
fuelectenerg-618	876	22	5	5	NUM
fuelectenerg-618	876	23	6	6	NUM
fuelectenerg-618	876	24	9	9	NUM
fuelectenerg-618	876	25	57	57	NUM
fuelectenerg-618	876	26	maxk	maxk	NOUN
fuelectenerg-618	876	27	9	9	NUM
fuelectenerg-618	876	28	6	6	NUM
fuelectenerg-618	876	29	10	10	NUM
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fuelectenerg-618	876	31	v	v	NOUN
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fuelectenerg-618	879	5	v1	v1	NOUN
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fuelectenerg-618	879	13	.	.	PUNCT
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fuelectenerg-618	880	3	t	t	X
fuelectenerg-618	881	1	i	i	PRON
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fuelectenerg-618	881	7	v5	v5	PROPN
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fuelectenerg-618	881	9	v7	v7	VERB
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fuelectenerg-618	881	13	v14	v14	NOUN
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fuelectenerg-618	881	15	.	.	PUNCT
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fuelectenerg-618	883	1	i	i	PRON
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fuelectenerg-618	883	6	5	5	NUM
fuelectenerg-618	883	7	66	66	NUM
fuelectenerg-618	883	8	sbe	sbe	NOUN
fuelectenerg-618	883	9	1	1	NUM
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fuelectenerg-618	883	12	x4	x4	PROPN
fuelectenerg-618	883	13	=	=	NOUN
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fuelectenerg-618	883	15	.	.	PUNCT
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fuelectenerg-618	885	1	i	i	PRON
fuelectenerg-618	885	2	s	s	VERB
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fuelectenerg-618	885	6	7	7	NUM
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fuelectenerg-618	885	8	maxk	maxk	NOUN
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fuelectenerg-618	886	1	i	i	PRON
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fuelectenerg-618	886	5	6	6	NUM
fuelectenerg-618	886	6	9	9	NUM
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fuelectenerg-618	886	8	maxk	maxk	NOUN
fuelectenerg-618	886	9	9	9	NUM
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fuelectenerg-618	886	13	v	v	ADP
fuelectenerg-618	886	14	t	t	X
fuelectenerg-618	887	1	i	i	PRON
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fuelectenerg-618	887	6	v0	v0	NOUN
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fuelectenerg-618	887	8	v2	v2	PROPN
fuelectenerg-618	887	9	v3	v3	PROPN
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fuelectenerg-618	887	11	v4	v4	PROPN
fuelectenerg-618	887	12	v5	v5	PROPN
fuelectenerg-618	887	13	v6	v6	NOUN
fuelectenerg-618	887	14	v7	v7	NOUN
fuelectenerg-618	887	15	.	.	PUNCT
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fuelectenerg-618	889	1	v	v	ADP
fuelectenerg-618	889	2	t	t	X
fuelectenerg-618	890	1	i	i	PRON
fuelectenerg-618	890	2	n	n	PROPN
fuelectenerg-618	890	3	1	1	NUM
fuelectenerg-618	890	4	12	12	NUM
fuelectenerg-618	890	5	77	77	NUM
fuelectenerg-618	890	6	v8	v8	PROPN
fuelectenerg-618	890	7	v9	v9	PROPN
fuelectenerg-618	890	8	v10	v10	PROPN
fuelectenerg-618	890	9	v11	v11	NOUN
fuelectenerg-618	890	10	78	78	NUM
fuelectenerg-618	890	11	v12	v12	VERB
fuelectenerg-618	890	12	v13	v13	NOUN
fuelectenerg-618	890	13	v14	v14	NOUN
fuelectenerg-618	890	14	v15	v15	NOUN
fuelectenerg-618	890	15	.	.	PUNCT
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fuelectenerg-618	891	2	cco	cco	PROPN
fuelectenerg-618	891	3	10	10	NUM
fuelectenerg-618	891	4	11	11	NUM
fuelectenerg-618	891	5	12	12	NUM
fuelectenerg-618	891	6	13	13	NUM
fuelectenerg-618	891	7	80	80	NUM
fuelectenerg-618	892	1	i	i	PRON
fuelectenerg-618	892	2	s	s	NOUN
fuelectenerg-618	892	3	c	c	NOUN
fuelectenerg-618	892	4	8	8	NUM
fuelectenerg-618	892	5	13	13	NUM
fuelectenerg-618	892	6	5	5	NUM
fuelectenerg-618	892	7	fig	fig	NOUN
fuelectenerg-618	892	8	.	.	PUNCT
fuelectenerg-618	893	1	7	7	X
fuelectenerg-618	893	2	.	.	X
fuelectenerg-618	893	3	listing	listing	NOUN
fuelectenerg-618	893	4	of	of	ADP
fuelectenerg-618	893	5	the	the	DET
fuelectenerg-618	893	6	prp	prp	NOUN
fuelectenerg-618	893	7	to	to	PART
fuelectenerg-618	893	8	solve	solve	VERB
fuelectenerg-618	893	9	the	the	DET
fuelectenerg-618	893	10	bde	bde	PROPN
fuelectenerg-618	893	11	(	(	PUNCT
fuelectenerg-618	893	12	57	57	NUM
fuelectenerg-618	893	13	)	)	PUNCT
fuelectenerg-618	893	14	.	.	PUNCT
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fuelectenerg-618	894	8	differential	differential	ADJ
fuelectenerg-618	894	9	equations	equation	NOUN
fuelectenerg-618	894	10	–	–	PUNCT
fuelectenerg-618	894	11	a	a	DET
fuelectenerg-618	894	12	common	common	ADJ
fuelectenerg-618	894	13	model	model	NOUN
fuelectenerg-618	894	14	for	for	ADP
fuelectenerg-618	894	15	classes	class	NOUN
fuelectenerg-618	894	16	,	,	PUNCT
fuelectenerg-618	894	17	lattices	lattice	NOUN
fuelectenerg-618	894	18	...	...	PUNCT
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fuelectenerg-618	894	21	b.	b.	PROPN
fuelectenerg-618	894	22	steinbach	steinbach	PROPN
fuelectenerg-618	894	23	and	and	CCONJ
fuelectenerg-618	894	24	c.	c.	PROPN
fuelectenerg-618	894	25	posthoff	posthoff	PROPN
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fuelectenerg-618	895	2	.	.	NOUN
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fuelectenerg-618	895	5	of	of	ADP
fuelectenerg-618	895	6	bde	bde	PROPN
fuelectenerg-618	895	7	(	(	PUNCT
fuelectenerg-618	895	8	57	57	NUM
fuelectenerg-618	895	9	)	)	PUNCT
fuelectenerg-618	895	10	v0	v0	NOUN
fuelectenerg-618	895	11	v1	v1	NOUN
fuelectenerg-618	895	12	v2	v2	PROPN
fuelectenerg-618	895	13	v3	v3	PROPN
fuelectenerg-618	895	14	v4	v4	PROPN
fuelectenerg-618	895	15	v5	v5	PROPN
fuelectenerg-618	895	16	v6	v6	NOUN
fuelectenerg-618	895	17	v7	v7	VERB
fuelectenerg-618	895	18	v8	v8	PROPN
fuelectenerg-618	895	19	v9	v9	PROPN
fuelectenerg-618	895	20	v10	v10	PROPN
fuelectenerg-618	895	21	v11	v11	NOUN
fuelectenerg-618	895	22	v12	v12	VERB
fuelectenerg-618	895	23	v13	v13	NOUN
fuelectenerg-618	895	24	v14	v14	NOUN
fuelectenerg-618	895	25	v15	v15	NOUN
fuelectenerg-618	895	26	solution	solution	NOUN
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fuelectenerg-618	895	30	1	1	NUM
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fuelectenerg-618	895	44	f1(x	f1(x	NUM
fuelectenerg-618	895	45	)	)	PUNCT
fuelectenerg-618	895	46	=	=	SYM
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fuelectenerg-618	896	4	x3)∨	x3)∨	PROPN
fuelectenerg-618	897	1	(	(	PUNCT
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fuelectenerg-618	897	3	⊕	⊕	PROPN
fuelectenerg-618	897	4	x4	x4	PROPN
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fuelectenerg-618	897	15	0	0	NUM
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fuelectenerg-618	897	19	1	1	NUM
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fuelectenerg-618	897	22	f2(x	f2(x	NOUN
fuelectenerg-618	897	23	)	)	PUNCT
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fuelectenerg-618	897	27	x3	x3	VERB
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fuelectenerg-618	897	30	1	1	NUM
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fuelectenerg-618	897	40	0	0	NUM
fuelectenerg-618	897	41	1	1	NUM
fuelectenerg-618	897	42	1	1	NUM
fuelectenerg-618	897	43	0	0	NUM
fuelectenerg-618	897	44	f3(x	f3(x	PROPN
fuelectenerg-618	897	45	)	)	PUNCT
fuelectenerg-618	897	46	=	=	SYM
fuelectenerg-618	898	1	x1	x1	PROPN
fuelectenerg-618	898	2	⊕	⊕	PROPN
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fuelectenerg-618	898	4	⊕	⊕	PROPN
fuelectenerg-618	898	5	x3	x3	PROPN
fuelectenerg-618	899	1	⊕	⊕	PROPN
fuelectenerg-618	899	2	x4	x4	PROPN
fuelectenerg-618	899	3	0	0	PUNCT
fuelectenerg-618	899	4	0	0	NUM
fuelectenerg-618	899	5	1	1	NUM
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fuelectenerg-618	899	9	0	0	NUM
fuelectenerg-618	899	10	1	1	NUM
fuelectenerg-618	899	11	1	1	NUM
fuelectenerg-618	899	12	0	0	NUM
fuelectenerg-618	899	13	0	0	NUM
fuelectenerg-618	899	14	0	0	NUM
fuelectenerg-618	899	15	0	0	NUM
fuelectenerg-618	899	16	1	1	NUM
fuelectenerg-618	899	17	0	0	NUM
fuelectenerg-618	899	18	0	0	NUM
fuelectenerg-618	899	19	f4(x	f4(x	NUM
fuelectenerg-618	899	20	)	)	PUNCT
fuelectenerg-618	899	21	=	=	SYM
fuelectenerg-618	899	22	(	(	PUNCT
fuelectenerg-618	899	23	x1	x1	PROPN
fuelectenerg-618	899	24	⊕	⊕	PROPN
fuelectenerg-618	899	25	x3)∧	x3)∧	PROPN
fuelectenerg-618	900	1	(	(	PUNCT
fuelectenerg-618	900	2	x2	x2	PROPN
fuelectenerg-618	900	3	⊕	⊕	PROPN
fuelectenerg-618	900	4	x4	x4	PROPN
fuelectenerg-618	900	5	)	)	PUNCT
fuelectenerg-618	900	6	5	5	NUM
fuelectenerg-618	900	7	conclusions	conclusion	NOUN
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fuelectenerg-618	900	9	boolean	boolean	ADJ
fuelectenerg-618	900	10	differential	differential	NOUN
fuelectenerg-618	900	11	calculus	calculus	NOUN
fuelectenerg-618	900	12	extends	extend	VERB
fuelectenerg-618	900	13	the	the	DET
fuelectenerg-618	900	14	field	field	NOUN
fuelectenerg-618	900	15	of	of	ADP
fuelectenerg-618	900	16	application	application	NOUN
fuelectenerg-618	900	17	of	of	ADP
fuelectenerg-618	900	18	the	the	DET
fuelectenerg-618	900	19	boolean	boolean	ADJ
fuelectenerg-618	900	20	algebra	algebra	NOUN
fuelectenerg-618	900	21	significantly	significantly	ADV
fuelectenerg-618	900	22	.	.	PUNCT
fuelectenerg-618	901	1	simple	simple	ADJ
fuelectenerg-618	901	2	and	and	CCONJ
fuelectenerg-618	901	3	vectorial	vectorial	ADJ
fuelectenerg-618	901	4	derivative	derivative	ADJ
fuelectenerg-618	901	5	operations	operation	NOUN
fuelectenerg-618	901	6	evaluate	evaluate	VERB
fuelectenerg-618	901	7	pairs	pair	NOUN
fuelectenerg-618	901	8	of	of	ADP
fuelectenerg-618	901	9	function	function	NOUN
fuelectenerg-618	901	10	values	value	NOUN
fuelectenerg-618	901	11	in	in	ADP
fuelectenerg-618	901	12	the	the	DET
fuelectenerg-618	901	13	selected	select	VERB
fuelectenerg-618	901	14	direction	direction	NOUN
fuelectenerg-618	901	15	of	of	ADP
fuelectenerg-618	901	16	change	change	NOUN
fuelectenerg-618	901	17	.	.	PUNCT
fuelectenerg-618	902	1	the	the	DET
fuelectenerg-618	902	2	values	value	NOUN
fuelectenerg-618	902	3	of	of	ADP
fuelectenerg-618	902	4	m	m	ADJ
fuelectenerg-618	902	5	-	-	ADJ
fuelectenerg-618	902	6	fold	fold	ADJ
fuelectenerg-618	902	7	derivative	derivative	ADJ
fuelectenerg-618	902	8	operations	operation	NOUN
fuelectenerg-618	902	9	depend	depend	VERB
fuelectenerg-618	902	10	on	on	ADP
fuelectenerg-618	902	11	values	value	NOUN
fuelectenerg-618	902	12	of	of	ADP
fuelectenerg-618	902	13	the	the	DET
fuelectenerg-618	902	14	given	give	VERB
fuelectenerg-618	902	15	function	function	NOUN
fuelectenerg-618	902	16	in	in	ADP
fuelectenerg-618	902	17	whole	whole	ADJ
fuelectenerg-618	902	18	subspaces	subspace	NOUN
fuelectenerg-618	902	19	.	.	PUNCT
fuelectenerg-618	903	1	an	an	DET
fuelectenerg-618	903	2	unknown	unknown	ADJ
fuelectenerg-618	903	3	function	function	NOUN
fuelectenerg-618	903	4	f	f	PROPN
fuelectenerg-618	903	5	(	(	PUNCT
fuelectenerg-618	903	6	x	x	NOUN
fuelectenerg-618	903	7	)	)	PUNCT
fuelectenerg-618	903	8	and	and	CCONJ
fuelectenerg-618	903	9	derivative	derivative	ADJ
fuelectenerg-618	903	10	operations	operation	NOUN
fuelectenerg-618	903	11	of	of	ADP
fuelectenerg-618	903	12	this	this	DET
fuelectenerg-618	903	13	function	function	NOUN
fuelectenerg-618	903	14	appear	appear	VERB
fuelectenerg-618	903	15	in	in	ADP
fuelectenerg-618	903	16	boolean	boolean	ADJ
fuelectenerg-618	903	17	expressions	expression	NOUN
fuelectenerg-618	903	18	on	on	ADP
fuelectenerg-618	903	19	both	both	DET
fuelectenerg-618	903	20	sides	side	NOUN
fuelectenerg-618	903	21	of	of	ADP
fuelectenerg-618	903	22	a	a	DET
fuelectenerg-618	903	23	boolean	boolean	ADJ
fuelectenerg-618	903	24	differential	differential	NOUN
fuelectenerg-618	903	25	equation	equation	NOUN
fuelectenerg-618	903	26	(	(	PUNCT
fuelectenerg-618	903	27	bde	bde	PROPN
fuelectenerg-618	903	28	)	)	PUNCT
fuelectenerg-618	903	29	.	.	PUNCT
fuelectenerg-618	904	1	the	the	DET
fuelectenerg-618	904	2	solution	solution	NOUN
fuelectenerg-618	904	3	of	of	ADP
fuelectenerg-618	904	4	each	each	DET
fuelectenerg-618	904	5	bde	bde	PROPN
fuelectenerg-618	904	6	is	be	AUX
fuelectenerg-618	904	7	a	a	DET
fuelectenerg-618	904	8	set	set	NOUN
fuelectenerg-618	904	9	of	of	ADP
fuelectenerg-618	904	10	boolean	boolean	ADJ
fuelectenerg-618	904	11	functions	function	NOUN
fuelectenerg-618	904	12	.	.	PUNCT
fuelectenerg-618	905	1	this	this	PRON
fuelectenerg-618	905	2	is	be	AUX
fuelectenerg-618	905	3	an	an	DET
fuelectenerg-618	905	4	important	important	ADJ
fuelectenerg-618	905	5	extension	extension	NOUN
fuelectenerg-618	905	6	to	to	ADP
fuelectenerg-618	905	7	a	a	DET
fuelectenerg-618	905	8	boolean	boolean	ADJ
fuelectenerg-618	905	9	equation	equation	NOUN
fuelectenerg-618	905	10	which	which	PRON
fuelectenerg-618	905	11	has	have	VERB
fuelectenerg-618	905	12	a	a	DET
fuelectenerg-618	905	13	set	set	NOUN
fuelectenerg-618	905	14	of	of	ADP
fuelectenerg-618	905	15	binary	binary	ADJ
fuelectenerg-618	905	16	vectors	vector	NOUN
fuelectenerg-618	905	17	as	as	ADP
fuelectenerg-618	905	18	solution	solution	NOUN
fuelectenerg-618	905	19	.	.	PUNCT
fuelectenerg-618	906	1	the	the	DET
fuelectenerg-618	906	2	explored	explore	VERB
fuelectenerg-618	906	3	algorithms	algorithm	NOUN
fuelectenerg-618	906	4	allow	allow	VERB
fuelectenerg-618	906	5	us	we	PRON
fuelectenerg-618	906	6	to	to	PART
fuelectenerg-618	906	7	solve	solve	VERB
fuelectenerg-618	906	8	bdes	bde	NOUN
fuelectenerg-618	906	9	which	which	PRON
fuelectenerg-618	906	10	describe	describe	VERB
fuelectenerg-618	906	11	either	either	DET
fuelectenerg-618	906	12	sets	set	NOUN
fuelectenerg-618	906	13	of	of	ADP
fuelectenerg-618	906	14	classes	class	NOUN
fuelectenerg-618	906	15	of	of	ADP
fuelectenerg-618	906	16	boolean	boolean	ADJ
fuelectenerg-618	906	17	functions	function	NOUN
fuelectenerg-618	906	18	or	or	CCONJ
fuelectenerg-618	906	19	arbitrary	arbitrary	ADJ
fuelectenerg-618	906	20	sets	set	NOUN
fuelectenerg-618	906	21	of	of	ADP
fuelectenerg-618	906	22	boolean	boolean	ADJ
fuelectenerg-618	906	23	functions	function	NOUN
fuelectenerg-618	906	24	.	.	PUNCT
fuelectenerg-618	907	1	we	we	PRON
fuelectenerg-618	907	2	demonstrated	demonstrate	VERB
fuelectenerg-618	907	3	that	that	SCONJ
fuelectenerg-618	907	4	these	these	DET
fuelectenerg-618	907	5	algorithms	algorithm	NOUN
fuelectenerg-618	907	6	can	can	AUX
fuelectenerg-618	907	7	easily	easily	ADV
fuelectenerg-618	907	8	be	be	AUX
fuelectenerg-618	907	9	implemented	implement	VERB
fuelectenerg-618	907	10	using	use	VERB
fuelectenerg-618	907	11	the	the	DET
fuelectenerg-618	907	12	xboole	xboole	NOUN
fuelectenerg-618	907	13	-	-	PUNCT
fuelectenerg-618	907	14	monitor	monitor	NOUN
fuelectenerg-618	907	15	.	.	PUNCT
fuelectenerg-618	908	1	the	the	DET
fuelectenerg-618	908	2	used	use	VERB
fuelectenerg-618	908	3	problem	problem	NOUN
fuelectenerg-618	908	4	programs	program	NOUN
fuelectenerg-618	908	5	(	(	PUNCT
fuelectenerg-618	908	6	prp	prp	PROPN
fuelectenerg-618	908	7	)	)	PUNCT
fuelectenerg-618	908	8	show	show	VERB
fuelectenerg-618	908	9	all	all	DET
fuelectenerg-618	908	10	details	detail	NOUN
fuelectenerg-618	908	11	of	of	ADP
fuelectenerg-618	908	12	the	the	DET
fuelectenerg-618	908	13	introduced	introduce	VERB
fuelectenerg-618	908	14	algorithms	algorithm	NOUN
fuelectenerg-618	908	15	to	to	PART
fuelectenerg-618	908	16	solve	solve	VERB
fuelectenerg-618	908	17	a	a	DET
fuelectenerg-618	908	18	bde	bde	NOUN
fuelectenerg-618	908	19	.	.	PUNCT
fuelectenerg-618	909	1	using	use	VERB
fuelectenerg-618	909	2	the	the	DET
fuelectenerg-618	909	3	xboole	xboole	NOUN
fuelectenerg-618	909	4	-	-	PUNCT
fuelectenerg-618	909	5	library	library	NOUN
fuelectenerg-618	909	6	all	all	DET
fuelectenerg-618	909	7	these	these	DET
fuelectenerg-618	909	8	steps	step	NOUN
fuelectenerg-618	909	9	can	can	AUX
fuelectenerg-618	909	10	be	be	AUX
fuelectenerg-618	909	11	wrapped	wrap	VERB
fuelectenerg-618	909	12	by	by	ADP
fuelectenerg-618	909	13	special	special	ADJ
fuelectenerg-618	909	14	programs	program	NOUN
fuelectenerg-618	909	15	such	such	ADJ
fuelectenerg-618	909	16	that	that	SCONJ
fuelectenerg-618	909	17	the	the	DET
fuelectenerg-618	909	18	set	set	NOUN
fuelectenerg-618	909	19	of	of	ADP
fuelectenerg-618	909	20	solution	solution	NOUN
fuelectenerg-618	909	21	functions	function	NOUN
fuelectenerg-618	909	22	of	of	ADP
fuelectenerg-618	909	23	a	a	DET
fuelectenerg-618	909	24	bde	bde	PROPN
fuelectenerg-618	909	25	is	be	AUX
fuelectenerg-618	909	26	automatically	automatically	ADV
fuelectenerg-618	909	27	created	create	VERB
fuelectenerg-618	909	28	.	.	PUNCT
fuelectenerg-618	910	1	the	the	DET
fuelectenerg-618	910	2	algorithms	algorithm	NOUN
fuelectenerg-618	910	3	known	know	VERB
fuelectenerg-618	910	4	from	from	ADP
fuelectenerg-618	910	5	[	[	X
fuelectenerg-618	910	6	4,5	4,5	NUM
fuelectenerg-618	910	7	]	]	PUNCT
fuelectenerg-618	910	8	are	be	AUX
fuelectenerg-618	910	9	able	able	ADJ
fuelectenerg-618	910	10	to	to	PART
fuelectenerg-618	910	11	separate	separate	VERB
fuelectenerg-618	910	12	(	(	PUNCT
fuelectenerg-618	910	13	depending	depend	VERB
fuelectenerg-618	910	14	on	on	ADP
fuelectenerg-618	910	15	the	the	DET
fuelectenerg-618	910	16	type	type	NOUN
fuelectenerg-618	910	17	of	of	ADP
fuelectenerg-618	910	18	the	the	DET
fuelectenerg-618	910	19	bde	bde	NOUN
fuelectenerg-618	910	20	)	)	PUNCT
fuelectenerg-618	910	21	either	either	CCONJ
fuelectenerg-618	910	22	classes	class	NOUN
fuelectenerg-618	910	23	of	of	ADP
fuelectenerg-618	910	24	solution	solution	NOUN
fuelectenerg-618	910	25	functions	function	NOUN
fuelectenerg-618	910	26	or	or	CCONJ
fuelectenerg-618	910	27	arbitrary	arbitrary	ADJ
fuelectenerg-618	910	28	sets	set	NOUN
fuelectenerg-618	910	29	of	of	ADP
fuelectenerg-618	910	30	solution	solution	NOUN
fuelectenerg-618	910	31	functions	function	NOUN
fuelectenerg-618	910	32	.	.	PUNCT
fuelectenerg-618	911	1	we	we	PRON
fuelectenerg-618	911	2	presented	present	VERB
fuelectenerg-618	911	3	in	in	ADP
fuelectenerg-618	911	4	this	this	DET
fuelectenerg-618	911	5	paper	paper	NOUN
fuelectenerg-618	911	6	special	special	ADJ
fuelectenerg-618	911	7	types	type	NOUN
fuelectenerg-618	911	8	of	of	ADP
fuelectenerg-618	911	9	bdes	bde	NOUN
fuelectenerg-618	911	10	which	which	PRON
fuelectenerg-618	911	11	either	either	CCONJ
fuelectenerg-618	911	12	combine	combine	VERB
fuelectenerg-618	911	13	certain	certain	ADJ
fuelectenerg-618	911	14	classes	class	NOUN
fuelectenerg-618	911	15	to	to	ADP
fuelectenerg-618	911	16	a	a	DET
fuelectenerg-618	911	17	lattice	lattice	NOUN
fuelectenerg-618	911	18	of	of	ADP
fuelectenerg-618	911	19	boolean	boolean	ADJ
fuelectenerg-618	911	20	functions	function	NOUN
fuelectenerg-618	911	21	or	or	CCONJ
fuelectenerg-618	911	22	restrict	restrict	VERB
fuelectenerg-618	911	23	the	the	DET
fuelectenerg-618	911	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	911	25	sets	set	NOUN
fuelectenerg-618	911	26	of	of	ADP
fuelectenerg-618	911	27	solutions	solution	NOUN
fuelectenerg-618	911	28	to	to	ADP
fuelectenerg-618	911	29	a	a	DET
fuelectenerg-618	911	30	lattice	lattice	NOUN
fuelectenerg-618	911	31	of	of	ADP
fuelectenerg-618	911	32	boolean	boolean	ADJ
fuelectenerg-618	911	33	functions	function	NOUN
fuelectenerg-618	911	34	.	.	PUNCT
fuelectenerg-618	912	1	there	there	PRON
fuelectenerg-618	912	2	is	be	VERB
fuelectenerg-618	912	3	a	a	DET
fuelectenerg-618	912	4	wide	wide	ADJ
fuelectenerg-618	912	5	field	field	NOUN
fuelectenerg-618	912	6	of	of	ADP
fuelectenerg-618	912	7	applications	application	NOUN
fuelectenerg-618	912	8	of	of	ADP
fuelectenerg-618	912	9	bdes	bde	NOUN
fuelectenerg-618	912	10	.	.	PUNCT
fuelectenerg-618	913	1	many	many	ADJ
fuelectenerg-618	913	2	examples	example	NOUN
fuelectenerg-618	913	3	are	be	AUX
fuelectenerg-618	913	4	explained	explain	VERB
fuelectenerg-618	913	5	in	in	ADP
fuelectenerg-618	913	6	[	[	X
fuelectenerg-618	913	7	4	4	NUM
fuelectenerg-618	913	8	]	]	PUNCT
fuelectenerg-618	913	9	.	.	PUNCT
fuelectenerg-618	914	1	here	here	ADV
fuelectenerg-618	914	2	,	,	PUNCT
fuelectenerg-618	914	3	we	we	PRON
fuelectenerg-618	914	4	introduced	introduce	VERB
fuelectenerg-618	914	5	three	three	NUM
fuelectenerg-618	914	6	new	new	ADJ
fuelectenerg-618	914	7	types	type	NOUN
fuelectenerg-618	914	8	of	of	ADP
fuelectenerg-618	914	9	bdes	bde	NOUN
fuelectenerg-618	914	10	.	.	PUNCT
fuelectenerg-618	915	1	all	all	PRON
fuelectenerg-618	915	2	of	of	ADP
fuelectenerg-618	915	3	them	they	PRON
fuelectenerg-618	915	4	describe	describe	VERB
fuelectenerg-618	915	5	lattices	lattice	NOUN
fuelectenerg-618	915	6	of	of	ADP
fuelectenerg-618	915	7	boolean	boolean	ADJ
fuelectenerg-618	915	8	functions	function	NOUN
fuelectenerg-618	915	9	.	.	PUNCT
fuelectenerg-618	916	1	1	1	X
fuelectenerg-618	916	2	.	.	X
fuelectenerg-618	916	3	a	a	DET
fuelectenerg-618	916	4	bde	bde	NOUN
fuelectenerg-618	916	5	of	of	ADP
fuelectenerg-618	916	6	the	the	DET
fuelectenerg-618	916	7	type	type	NOUN
fuelectenerg-618	916	8	(	(	PUNCT
fuelectenerg-618	916	9	46	46	NUM
fuelectenerg-618	916	10	)	)	PUNCT
fuelectenerg-618	916	11	describes	describe	VERB
fuelectenerg-618	916	12	a	a	DET
fuelectenerg-618	916	13	well	well	ADV
fuelectenerg-618	916	14	known	know	VERB
fuelectenerg-618	916	15	and	and	CCONJ
fuelectenerg-618	916	16	widely	widely	ADV
fuelectenerg-618	916	17	used	use	VERB
fuelectenerg-618	916	18	lattice	lattice	NOUN
fuelectenerg-618	916	19	of	of	ADP
fuelectenerg-618	916	20	boolean	boolean	ADJ
fuelectenerg-618	916	21	functions	function	NOUN
fuelectenerg-618	916	22	that	that	PRON
fuelectenerg-618	916	23	can	can	AUX
fuelectenerg-618	916	24	alternatively	alternatively	ADV
fuelectenerg-618	916	25	be	be	AUX
fuelectenerg-618	916	26	expressed	express	VERB
fuelectenerg-618	916	27	by	by	ADP
fuelectenerg-618	916	28	an	an	DET
fuelectenerg-618	916	29	incompletely	incompletely	ADV
fuelectenerg-618	916	30	specified	specify	VERB
fuelectenerg-618	916	31	function	function	NOUN
fuelectenerg-618	916	32	.	.	PUNCT
fuelectenerg-618	917	1	such	such	DET
fuelectenerg-618	917	2	a	a	DET
fuelectenerg-618	917	3	bde	bde	PROPN
fuelectenerg-618	917	4	can	can	AUX
fuelectenerg-618	917	5	be	be	AUX
fuelectenerg-618	917	6	solved	solve	VERB
fuelectenerg-618	917	7	using	use	VERB
fuelectenerg-618	917	8	algorithm	algorithm	NOUN
fuelectenerg-618	917	9	2	2	NUM
fuelectenerg-618	917	10	.	.	NOUN
fuelectenerg-618	917	11	2	2	NUM
fuelectenerg-618	917	12	.	.	X
fuelectenerg-618	917	13	a	a	DET
fuelectenerg-618	917	14	bde	bde	NOUN
fuelectenerg-618	917	15	of	of	ADP
fuelectenerg-618	917	16	the	the	DET
fuelectenerg-618	917	17	type	type	NOUN
fuelectenerg-618	917	18	(	(	PUNCT
fuelectenerg-618	917	19	49	49	NUM
fuelectenerg-618	917	20	)	)	PUNCT
fuelectenerg-618	917	21	describes	describe	VERB
fuelectenerg-618	917	22	a	a	DET
fuelectenerg-618	917	23	lattice	lattice	NOUN
fuelectenerg-618	917	24	with	with	ADP
fuelectenerg-618	917	25	the	the	DET
fuelectenerg-618	917	26	infimum	infimum	ADJ
fuelectenerg-618	917	27	function	function	NOUN
fuelectenerg-618	917	28	q(x	q(x	NOUN
fuelectenerg-618	917	29	)	)	PUNCT
fuelectenerg-618	918	1	=	=	SYM
fuelectenerg-618	918	2	0	0	NUM
fuelectenerg-618	918	3	and	and	CCONJ
fuelectenerg-618	918	4	the	the	DET
fuelectenerg-618	918	5	supremum	supremum	ADJ
fuelectenerg-618	918	6	function	function	NOUN
fuelectenerg-618	918	7	r(x	r(x	PROPN
fuelectenerg-618	918	8	)	)	PUNCT
fuelectenerg-618	919	1	=	=	SYM
fuelectenerg-618	919	2	1	1	NUM
fuelectenerg-618	919	3	and	and	CCONJ
fuelectenerg-618	919	4	can	can	AUX
fuelectenerg-618	919	5	be	be	AUX
fuelectenerg-618	919	6	solved	solve	VERB
fuelectenerg-618	919	7	using	use	VERB
fuelectenerg-618	919	8	algorithm	algorithm	PROPN
fuelectenerg-618	919	9	74	74	NUM
fuelectenerg-618	919	10	b.	b.	PROPN
fuelectenerg-618	919	11	steinbach	steinbach	PROPN
fuelectenerg-618	919	12	,	,	PUNCT
fuelectenerg-618	920	1	c.	c.	PROPN
fuelectenerg-618	920	2	posthoff	posthoff	PROPN
fuelectenerg-618	920	3	boolean	boolean	ADJ
fuelectenerg-618	920	4	differential	differential	ADJ
fuelectenerg-618	920	5	equations	equation	NOUN
fuelectenerg-618	920	6	–	–	PUNCT
fuelectenerg-618	920	7	a	a	DET
fuelectenerg-618	920	8	common	common	ADJ
fuelectenerg-618	920	9	model	model	NOUN
fuelectenerg-618	920	10	for	for	ADP
fuelectenerg-618	920	11	classes	class	NOUN
fuelectenerg-618	920	12	,	,	PUNCT
fuelectenerg-618	920	13	lattices	lattice	NOUN
fuelectenerg-618	920	14	...	...	PUNCT
fuelectenerg-618	920	15	75	75	NUM
fuelectenerg-618	920	16	124	124	NUM
fuelectenerg-618	920	17	b.	b.	PROPN
fuelectenerg-618	920	18	steinbach	steinbach	PROPN
fuelectenerg-618	920	19	and	and	CCONJ
fuelectenerg-618	920	20	c.	c.	PROPN
fuelectenerg-618	920	21	posthoff	posthoff	PROPN
fuelectenerg-618	920	22	tab	tab	PROPN
fuelectenerg-618	920	23	.	.	PUNCT
fuelectenerg-618	921	1	7	7	NUM
fuelectenerg-618	921	2	.	.	NOUN
fuelectenerg-618	921	3	solution	solution	NOUN
fuelectenerg-618	921	4	functions	function	NOUN
fuelectenerg-618	921	5	of	of	ADP
fuelectenerg-618	921	6	bde	bde	PROPN
fuelectenerg-618	921	7	(	(	PUNCT
fuelectenerg-618	921	8	57	57	NUM
fuelectenerg-618	921	9	)	)	PUNCT
fuelectenerg-618	921	10	v0	v0	NOUN
fuelectenerg-618	921	11	v1	v1	NOUN
fuelectenerg-618	921	12	v2	v2	PROPN
fuelectenerg-618	921	13	v3	v3	PROPN
fuelectenerg-618	921	14	v4	v4	PROPN
fuelectenerg-618	921	15	v5	v5	PROPN
fuelectenerg-618	921	16	v6	v6	NOUN
fuelectenerg-618	921	17	v7	v7	VERB
fuelectenerg-618	921	18	v8	v8	PROPN
fuelectenerg-618	921	19	v9	v9	PROPN
fuelectenerg-618	921	20	v10	v10	PROPN
fuelectenerg-618	921	21	v11	v11	NOUN
fuelectenerg-618	921	22	v12	v12	VERB
fuelectenerg-618	921	23	v13	v13	NOUN
fuelectenerg-618	921	24	v14	v14	NOUN
fuelectenerg-618	921	25	v15	v15	NOUN
fuelectenerg-618	921	26	solution	solution	NOUN
fuelectenerg-618	921	27	functions	function	NOUN
fuelectenerg-618	921	28	1	1	NUM
fuelectenerg-618	921	29	1	1	NUM
fuelectenerg-618	921	30	1	1	NUM
fuelectenerg-618	921	31	0	0	NUM
fuelectenerg-618	921	32	1	1	NUM
fuelectenerg-618	921	33	1	1	NUM
fuelectenerg-618	921	34	0	0	NUM
fuelectenerg-618	921	35	1	1	NUM
fuelectenerg-618	921	36	1	1	NUM
fuelectenerg-618	921	37	0	0	NUM
fuelectenerg-618	921	38	1	1	NUM
fuelectenerg-618	921	39	1	1	NUM
fuelectenerg-618	921	40	0	0	NUM
fuelectenerg-618	921	41	1	1	NUM
fuelectenerg-618	921	42	1	1	NUM
fuelectenerg-618	921	43	1	1	NUM
fuelectenerg-618	921	44	f1(x	f1(x	NUM
fuelectenerg-618	921	45	)	)	PUNCT
fuelectenerg-618	921	46	=	=	SYM
fuelectenerg-618	922	1	(	(	PUNCT
fuelectenerg-618	922	2	x1	x1	PROPN
fuelectenerg-618	922	3	⊕	⊕	PROPN
fuelectenerg-618	922	4	x3)∨	x3)∨	PROPN
fuelectenerg-618	923	1	(	(	PUNCT
fuelectenerg-618	923	2	x2	x2	PROPN
fuelectenerg-618	923	3	⊕	⊕	PROPN
fuelectenerg-618	923	4	x4	x4	PROPN
fuelectenerg-618	923	5	)	)	PUNCT
fuelectenerg-618	923	6	1	1	NUM
fuelectenerg-618	923	7	0	0	NUM
fuelectenerg-618	923	8	1	1	NUM
fuelectenerg-618	923	9	0	0	NUM
fuelectenerg-618	923	10	0	0	NUM
fuelectenerg-618	923	11	1	1	NUM
fuelectenerg-618	923	12	0	0	NUM
fuelectenerg-618	923	13	1	1	NUM
fuelectenerg-618	923	14	1	1	NUM
fuelectenerg-618	923	15	0	0	NUM
fuelectenerg-618	923	16	1	1	NUM
fuelectenerg-618	923	17	0	0	NUM
fuelectenerg-618	923	18	0	0	NUM
fuelectenerg-618	923	19	1	1	NUM
fuelectenerg-618	923	20	0	0	NUM
fuelectenerg-618	923	21	1	1	NUM
fuelectenerg-618	923	22	f2(x	f2(x	NOUN
fuelectenerg-618	923	23	)	)	PUNCT
fuelectenerg-618	923	24	=	=	SYM
fuelectenerg-618	923	25	x1	x1	PROPN
fuelectenerg-618	923	26	⊕	⊕	NOUN
fuelectenerg-618	923	27	x3	x3	VERB
fuelectenerg-618	923	28	0	0	NUM
fuelectenerg-618	923	29	1	1	NUM
fuelectenerg-618	923	30	1	1	NUM
fuelectenerg-618	923	31	0	0	NUM
fuelectenerg-618	923	32	1	1	NUM
fuelectenerg-618	923	33	0	0	NUM
fuelectenerg-618	923	34	0	0	NUM
fuelectenerg-618	923	35	1	1	NUM
fuelectenerg-618	923	36	1	1	NUM
fuelectenerg-618	923	37	0	0	NUM
fuelectenerg-618	923	38	0	0	NUM
fuelectenerg-618	923	39	1	1	NUM
fuelectenerg-618	923	40	0	0	NUM
fuelectenerg-618	923	41	1	1	NUM
fuelectenerg-618	923	42	1	1	NUM
fuelectenerg-618	923	43	0	0	NUM
fuelectenerg-618	923	44	f3(x	f3(x	PROPN
fuelectenerg-618	923	45	)	)	PUNCT
fuelectenerg-618	923	46	=	=	SYM
fuelectenerg-618	924	1	x1	x1	PROPN
fuelectenerg-618	924	2	⊕	⊕	PROPN
fuelectenerg-618	924	3	x2	x2	PROPN
fuelectenerg-618	924	4	⊕	⊕	PROPN
fuelectenerg-618	924	5	x3	x3	PROPN
fuelectenerg-618	925	1	⊕	⊕	PROPN
fuelectenerg-618	925	2	x4	x4	PROPN
fuelectenerg-618	925	3	0	0	PUNCT
fuelectenerg-618	925	4	0	0	NUM
fuelectenerg-618	925	5	1	1	NUM
fuelectenerg-618	925	6	0	0	NUM
fuelectenerg-618	925	7	0	0	NUM
fuelectenerg-618	925	8	0	0	NUM
fuelectenerg-618	925	9	0	0	NUM
fuelectenerg-618	925	10	1	1	NUM
fuelectenerg-618	925	11	1	1	NUM
fuelectenerg-618	925	12	0	0	NUM
fuelectenerg-618	925	13	0	0	NUM
fuelectenerg-618	925	14	0	0	NUM
fuelectenerg-618	925	15	0	0	NUM
fuelectenerg-618	925	16	1	1	NUM
fuelectenerg-618	925	17	0	0	NUM
fuelectenerg-618	925	18	0	0	NUM
fuelectenerg-618	925	19	f4(x	f4(x	NUM
fuelectenerg-618	925	20	)	)	PUNCT
fuelectenerg-618	925	21	=	=	SYM
fuelectenerg-618	925	22	(	(	PUNCT
fuelectenerg-618	925	23	x1	x1	PROPN
fuelectenerg-618	925	24	⊕	⊕	PROPN
fuelectenerg-618	925	25	x3)∧	x3)∧	PROPN
fuelectenerg-618	926	1	(	(	PUNCT
fuelectenerg-618	926	2	x2	x2	PROPN
fuelectenerg-618	926	3	⊕	⊕	PROPN
fuelectenerg-618	926	4	x4	x4	PROPN
fuelectenerg-618	926	5	)	)	PUNCT
fuelectenerg-618	926	6	5	5	NUM
fuelectenerg-618	926	7	conclusions	conclusion	NOUN
fuelectenerg-618	926	8	the	the	DET
fuelectenerg-618	926	9	boolean	boolean	ADJ
fuelectenerg-618	926	10	differential	differential	NOUN
fuelectenerg-618	926	11	calculus	calculus	NOUN
fuelectenerg-618	926	12	extends	extend	VERB
fuelectenerg-618	926	13	the	the	DET
fuelectenerg-618	926	14	field	field	NOUN
fuelectenerg-618	926	15	of	of	ADP
fuelectenerg-618	926	16	application	application	NOUN
fuelectenerg-618	926	17	of	of	ADP
fuelectenerg-618	926	18	the	the	DET
fuelectenerg-618	926	19	boolean	boolean	ADJ
fuelectenerg-618	926	20	algebra	algebra	NOUN
fuelectenerg-618	926	21	significantly	significantly	ADV
fuelectenerg-618	926	22	.	.	PUNCT
fuelectenerg-618	927	1	simple	simple	ADJ
fuelectenerg-618	927	2	and	and	CCONJ
fuelectenerg-618	927	3	vectorial	vectorial	ADJ
fuelectenerg-618	927	4	derivative	derivative	ADJ
fuelectenerg-618	927	5	operations	operation	NOUN
fuelectenerg-618	927	6	evaluate	evaluate	VERB
fuelectenerg-618	927	7	pairs	pair	NOUN
fuelectenerg-618	927	8	of	of	ADP
fuelectenerg-618	927	9	function	function	NOUN
fuelectenerg-618	927	10	values	value	NOUN
fuelectenerg-618	927	11	in	in	ADP
fuelectenerg-618	927	12	the	the	DET
fuelectenerg-618	927	13	selected	select	VERB
fuelectenerg-618	927	14	direction	direction	NOUN
fuelectenerg-618	927	15	of	of	ADP
fuelectenerg-618	927	16	change	change	NOUN
fuelectenerg-618	927	17	.	.	PUNCT
fuelectenerg-618	928	1	the	the	DET
fuelectenerg-618	928	2	values	value	NOUN
fuelectenerg-618	928	3	of	of	ADP
fuelectenerg-618	928	4	m	m	ADJ
fuelectenerg-618	928	5	-	-	ADJ
fuelectenerg-618	928	6	fold	fold	ADJ
fuelectenerg-618	928	7	derivative	derivative	ADJ
fuelectenerg-618	928	8	operations	operation	NOUN
fuelectenerg-618	928	9	depend	depend	VERB
fuelectenerg-618	928	10	on	on	ADP
fuelectenerg-618	928	11	values	value	NOUN
fuelectenerg-618	928	12	of	of	ADP
fuelectenerg-618	928	13	the	the	DET
fuelectenerg-618	928	14	given	give	VERB
fuelectenerg-618	928	15	function	function	NOUN
fuelectenerg-618	928	16	in	in	ADP
fuelectenerg-618	928	17	whole	whole	ADJ
fuelectenerg-618	928	18	subspaces	subspace	NOUN
fuelectenerg-618	928	19	.	.	PUNCT
fuelectenerg-618	929	1	an	an	DET
fuelectenerg-618	929	2	unknown	unknown	ADJ
fuelectenerg-618	929	3	function	function	NOUN
fuelectenerg-618	929	4	f	f	PROPN
fuelectenerg-618	929	5	(	(	PUNCT
fuelectenerg-618	929	6	x	x	NOUN
fuelectenerg-618	929	7	)	)	PUNCT
fuelectenerg-618	929	8	and	and	CCONJ
fuelectenerg-618	929	9	derivative	derivative	ADJ
fuelectenerg-618	929	10	operations	operation	NOUN
fuelectenerg-618	929	11	of	of	ADP
fuelectenerg-618	929	12	this	this	DET
fuelectenerg-618	929	13	function	function	NOUN
fuelectenerg-618	929	14	appear	appear	VERB
fuelectenerg-618	929	15	in	in	ADP
fuelectenerg-618	929	16	boolean	boolean	ADJ
fuelectenerg-618	929	17	expressions	expression	NOUN
fuelectenerg-618	929	18	on	on	ADP
fuelectenerg-618	929	19	both	both	DET
fuelectenerg-618	929	20	sides	side	NOUN
fuelectenerg-618	929	21	of	of	ADP
fuelectenerg-618	929	22	a	a	DET
fuelectenerg-618	929	23	boolean	boolean	ADJ
fuelectenerg-618	929	24	differential	differential	NOUN
fuelectenerg-618	929	25	equation	equation	NOUN
fuelectenerg-618	929	26	(	(	PUNCT
fuelectenerg-618	929	27	bde	bde	PROPN
fuelectenerg-618	929	28	)	)	PUNCT
fuelectenerg-618	929	29	.	.	PUNCT
fuelectenerg-618	930	1	the	the	DET
fuelectenerg-618	930	2	solution	solution	NOUN
fuelectenerg-618	930	3	of	of	ADP
fuelectenerg-618	930	4	each	each	DET
fuelectenerg-618	930	5	bde	bde	PROPN
fuelectenerg-618	930	6	is	be	AUX
fuelectenerg-618	930	7	a	a	DET
fuelectenerg-618	930	8	set	set	NOUN
fuelectenerg-618	930	9	of	of	ADP
fuelectenerg-618	930	10	boolean	boolean	ADJ
fuelectenerg-618	930	11	functions	function	NOUN
fuelectenerg-618	930	12	.	.	PUNCT
fuelectenerg-618	931	1	this	this	PRON
fuelectenerg-618	931	2	is	be	AUX
fuelectenerg-618	931	3	an	an	DET
fuelectenerg-618	931	4	important	important	ADJ
fuelectenerg-618	931	5	extension	extension	NOUN
fuelectenerg-618	931	6	to	to	ADP
fuelectenerg-618	931	7	a	a	DET
fuelectenerg-618	931	8	boolean	boolean	ADJ
fuelectenerg-618	931	9	equation	equation	NOUN
fuelectenerg-618	931	10	which	which	PRON
fuelectenerg-618	931	11	has	have	VERB
fuelectenerg-618	931	12	a	a	DET
fuelectenerg-618	931	13	set	set	NOUN
fuelectenerg-618	931	14	of	of	ADP
fuelectenerg-618	931	15	binary	binary	ADJ
fuelectenerg-618	931	16	vectors	vector	NOUN
fuelectenerg-618	931	17	as	as	ADP
fuelectenerg-618	931	18	solution	solution	NOUN
fuelectenerg-618	931	19	.	.	PUNCT
fuelectenerg-618	932	1	the	the	DET
fuelectenerg-618	932	2	explored	explore	VERB
fuelectenerg-618	932	3	algorithms	algorithm	NOUN
fuelectenerg-618	932	4	allow	allow	VERB
fuelectenerg-618	932	5	us	we	PRON
fuelectenerg-618	932	6	to	to	PART
fuelectenerg-618	932	7	solve	solve	VERB
fuelectenerg-618	932	8	bdes	bde	NOUN
fuelectenerg-618	932	9	which	which	PRON
fuelectenerg-618	932	10	describe	describe	VERB
fuelectenerg-618	932	11	either	either	DET
fuelectenerg-618	932	12	sets	set	NOUN
fuelectenerg-618	932	13	of	of	ADP
fuelectenerg-618	932	14	classes	class	NOUN
fuelectenerg-618	932	15	of	of	ADP
fuelectenerg-618	932	16	boolean	boolean	ADJ
fuelectenerg-618	932	17	functions	function	NOUN
fuelectenerg-618	932	18	or	or	CCONJ
fuelectenerg-618	932	19	arbitrary	arbitrary	ADJ
fuelectenerg-618	932	20	sets	set	NOUN
fuelectenerg-618	932	21	of	of	ADP
fuelectenerg-618	932	22	boolean	boolean	ADJ
fuelectenerg-618	932	23	functions	function	NOUN
fuelectenerg-618	932	24	.	.	PUNCT
fuelectenerg-618	933	1	we	we	PRON
fuelectenerg-618	933	2	demonstrated	demonstrate	VERB
fuelectenerg-618	933	3	that	that	SCONJ
fuelectenerg-618	933	4	these	these	DET
fuelectenerg-618	933	5	algorithms	algorithm	NOUN
fuelectenerg-618	933	6	can	can	AUX
fuelectenerg-618	933	7	easily	easily	ADV
fuelectenerg-618	933	8	be	be	AUX
fuelectenerg-618	933	9	implemented	implement	VERB
fuelectenerg-618	933	10	using	use	VERB
fuelectenerg-618	933	11	the	the	DET
fuelectenerg-618	933	12	xboole	xboole	NOUN
fuelectenerg-618	933	13	-	-	PUNCT
fuelectenerg-618	933	14	monitor	monitor	NOUN
fuelectenerg-618	933	15	.	.	PUNCT
fuelectenerg-618	934	1	the	the	DET
fuelectenerg-618	934	2	used	use	VERB
fuelectenerg-618	934	3	problem	problem	NOUN
fuelectenerg-618	934	4	programs	program	NOUN
fuelectenerg-618	934	5	(	(	PUNCT
fuelectenerg-618	934	6	prp	prp	PROPN
fuelectenerg-618	934	7	)	)	PUNCT
fuelectenerg-618	934	8	show	show	VERB
fuelectenerg-618	934	9	all	all	DET
fuelectenerg-618	934	10	details	detail	NOUN
fuelectenerg-618	934	11	of	of	ADP
fuelectenerg-618	934	12	the	the	DET
fuelectenerg-618	934	13	introduced	introduce	VERB
fuelectenerg-618	934	14	algorithms	algorithm	NOUN
fuelectenerg-618	934	15	to	to	PART
fuelectenerg-618	934	16	solve	solve	VERB
fuelectenerg-618	934	17	a	a	DET
fuelectenerg-618	934	18	bde	bde	NOUN
fuelectenerg-618	934	19	.	.	PUNCT
fuelectenerg-618	935	1	using	use	VERB
fuelectenerg-618	935	2	the	the	DET
fuelectenerg-618	935	3	xboole	xboole	NOUN
fuelectenerg-618	935	4	-	-	PUNCT
fuelectenerg-618	935	5	library	library	NOUN
fuelectenerg-618	935	6	all	all	DET
fuelectenerg-618	935	7	these	these	DET
fuelectenerg-618	935	8	steps	step	NOUN
fuelectenerg-618	935	9	can	can	AUX
fuelectenerg-618	935	10	be	be	AUX
fuelectenerg-618	935	11	wrapped	wrap	VERB
fuelectenerg-618	935	12	by	by	ADP
fuelectenerg-618	935	13	special	special	ADJ
fuelectenerg-618	935	14	programs	program	NOUN
fuelectenerg-618	935	15	such	such	ADJ
fuelectenerg-618	935	16	that	that	SCONJ
fuelectenerg-618	935	17	the	the	DET
fuelectenerg-618	935	18	set	set	NOUN
fuelectenerg-618	935	19	of	of	ADP
fuelectenerg-618	935	20	solution	solution	NOUN
fuelectenerg-618	935	21	functions	function	NOUN
fuelectenerg-618	935	22	of	of	ADP
fuelectenerg-618	935	23	a	a	DET
fuelectenerg-618	935	24	bde	bde	PROPN
fuelectenerg-618	935	25	is	be	AUX
fuelectenerg-618	935	26	automatically	automatically	ADV
fuelectenerg-618	935	27	created	create	VERB
fuelectenerg-618	935	28	.	.	PUNCT
fuelectenerg-618	936	1	the	the	DET
fuelectenerg-618	936	2	algorithms	algorithm	NOUN
fuelectenerg-618	936	3	known	know	VERB
fuelectenerg-618	936	4	from	from	ADP
fuelectenerg-618	936	5	[	[	X
fuelectenerg-618	936	6	4,5	4,5	NUM
fuelectenerg-618	936	7	]	]	PUNCT
fuelectenerg-618	936	8	are	be	AUX
fuelectenerg-618	936	9	able	able	ADJ
fuelectenerg-618	936	10	to	to	PART
fuelectenerg-618	936	11	separate	separate	VERB
fuelectenerg-618	936	12	(	(	PUNCT
fuelectenerg-618	936	13	depending	depend	VERB
fuelectenerg-618	936	14	on	on	ADP
fuelectenerg-618	936	15	the	the	DET
fuelectenerg-618	936	16	type	type	NOUN
fuelectenerg-618	936	17	of	of	ADP
fuelectenerg-618	936	18	the	the	DET
fuelectenerg-618	936	19	bde	bde	NOUN
fuelectenerg-618	936	20	)	)	PUNCT
fuelectenerg-618	936	21	either	either	CCONJ
fuelectenerg-618	936	22	classes	class	NOUN
fuelectenerg-618	936	23	of	of	ADP
fuelectenerg-618	936	24	solution	solution	NOUN
fuelectenerg-618	936	25	functions	function	NOUN
fuelectenerg-618	936	26	or	or	CCONJ
fuelectenerg-618	936	27	arbitrary	arbitrary	ADJ
fuelectenerg-618	936	28	sets	set	NOUN
fuelectenerg-618	936	29	of	of	ADP
fuelectenerg-618	936	30	solution	solution	NOUN
fuelectenerg-618	936	31	functions	function	NOUN
fuelectenerg-618	936	32	.	.	PUNCT
fuelectenerg-618	937	1	we	we	PRON
fuelectenerg-618	937	2	presented	present	VERB
fuelectenerg-618	937	3	in	in	ADP
fuelectenerg-618	937	4	this	this	DET
fuelectenerg-618	937	5	paper	paper	NOUN
fuelectenerg-618	937	6	special	special	ADJ
fuelectenerg-618	937	7	types	type	NOUN
fuelectenerg-618	937	8	of	of	ADP
fuelectenerg-618	937	9	bdes	bde	NOUN
fuelectenerg-618	937	10	which	which	PRON
fuelectenerg-618	937	11	either	either	CCONJ
fuelectenerg-618	937	12	combine	combine	VERB
fuelectenerg-618	937	13	certain	certain	ADJ
fuelectenerg-618	937	14	classes	class	NOUN
fuelectenerg-618	937	15	to	to	ADP
fuelectenerg-618	937	16	a	a	DET
fuelectenerg-618	937	17	lattice	lattice	NOUN
fuelectenerg-618	937	18	of	of	ADP
fuelectenerg-618	937	19	boolean	boolean	ADJ
fuelectenerg-618	937	20	functions	function	NOUN
fuelectenerg-618	937	21	or	or	CCONJ
fuelectenerg-618	937	22	restrict	restrict	VERB
fuelectenerg-618	937	23	the	the	DET
fuelectenerg-618	937	24	arbitrary	arbitrary	ADJ
fuelectenerg-618	937	25	sets	set	NOUN
fuelectenerg-618	937	26	of	of	ADP
fuelectenerg-618	937	27	solutions	solution	NOUN
fuelectenerg-618	937	28	to	to	ADP
fuelectenerg-618	937	29	a	a	DET
fuelectenerg-618	937	30	lattice	lattice	NOUN
fuelectenerg-618	937	31	of	of	ADP
fuelectenerg-618	937	32	boolean	boolean	ADJ
fuelectenerg-618	937	33	functions	function	NOUN
fuelectenerg-618	937	34	.	.	PUNCT
fuelectenerg-618	938	1	there	there	PRON
fuelectenerg-618	938	2	is	be	VERB
fuelectenerg-618	938	3	a	a	DET
fuelectenerg-618	938	4	wide	wide	ADJ
fuelectenerg-618	938	5	field	field	NOUN
fuelectenerg-618	938	6	of	of	ADP
fuelectenerg-618	938	7	applications	application	NOUN
fuelectenerg-618	938	8	of	of	ADP
fuelectenerg-618	938	9	bdes	bde	NOUN
fuelectenerg-618	938	10	.	.	PUNCT
fuelectenerg-618	939	1	many	many	ADJ
fuelectenerg-618	939	2	examples	example	NOUN
fuelectenerg-618	939	3	are	be	AUX
fuelectenerg-618	939	4	explained	explain	VERB
fuelectenerg-618	939	5	in	in	ADP
fuelectenerg-618	939	6	[	[	X
fuelectenerg-618	939	7	4	4	NUM
fuelectenerg-618	939	8	]	]	PUNCT
fuelectenerg-618	939	9	.	.	PUNCT
fuelectenerg-618	940	1	here	here	ADV
fuelectenerg-618	940	2	,	,	PUNCT
fuelectenerg-618	940	3	we	we	PRON
fuelectenerg-618	940	4	introduced	introduce	VERB
fuelectenerg-618	940	5	three	three	NUM
fuelectenerg-618	940	6	new	new	ADJ
fuelectenerg-618	940	7	types	type	NOUN
fuelectenerg-618	940	8	of	of	ADP
fuelectenerg-618	940	9	bdes	bde	NOUN
fuelectenerg-618	940	10	.	.	PUNCT
fuelectenerg-618	941	1	all	all	PRON
fuelectenerg-618	941	2	of	of	ADP
fuelectenerg-618	941	3	them	they	PRON
fuelectenerg-618	941	4	describe	describe	VERB
fuelectenerg-618	941	5	lattices	lattice	NOUN
fuelectenerg-618	941	6	of	of	ADP
fuelectenerg-618	941	7	boolean	boolean	ADJ
fuelectenerg-618	941	8	functions	function	NOUN
fuelectenerg-618	941	9	.	.	PUNCT
fuelectenerg-618	942	1	1	1	X
fuelectenerg-618	942	2	.	.	X
fuelectenerg-618	942	3	a	a	DET
fuelectenerg-618	942	4	bde	bde	NOUN
fuelectenerg-618	942	5	of	of	ADP
fuelectenerg-618	942	6	the	the	DET
fuelectenerg-618	942	7	type	type	NOUN
fuelectenerg-618	942	8	(	(	PUNCT
fuelectenerg-618	942	9	46	46	NUM
fuelectenerg-618	942	10	)	)	PUNCT
fuelectenerg-618	942	11	describes	describe	VERB
fuelectenerg-618	942	12	a	a	DET
fuelectenerg-618	942	13	well	well	ADV
fuelectenerg-618	942	14	known	know	VERB
fuelectenerg-618	942	15	and	and	CCONJ
fuelectenerg-618	942	16	widely	widely	ADV
fuelectenerg-618	942	17	used	use	VERB
fuelectenerg-618	942	18	lattice	lattice	NOUN
fuelectenerg-618	942	19	of	of	ADP
fuelectenerg-618	942	20	boolean	boolean	ADJ
fuelectenerg-618	942	21	functions	function	NOUN
fuelectenerg-618	942	22	that	that	PRON
fuelectenerg-618	942	23	can	can	AUX
fuelectenerg-618	942	24	alternatively	alternatively	ADV
fuelectenerg-618	942	25	be	be	AUX
fuelectenerg-618	942	26	expressed	express	VERB
fuelectenerg-618	942	27	by	by	ADP
fuelectenerg-618	942	28	an	an	DET
fuelectenerg-618	942	29	incompletely	incompletely	ADV
fuelectenerg-618	942	30	specified	specify	VERB
fuelectenerg-618	942	31	function	function	NOUN
fuelectenerg-618	942	32	.	.	PUNCT
fuelectenerg-618	943	1	such	such	DET
fuelectenerg-618	943	2	a	a	DET
fuelectenerg-618	943	3	bde	bde	PROPN
fuelectenerg-618	943	4	can	can	AUX
fuelectenerg-618	943	5	be	be	AUX
fuelectenerg-618	943	6	solved	solve	VERB
fuelectenerg-618	943	7	using	use	VERB
fuelectenerg-618	943	8	algorithm	algorithm	NOUN
fuelectenerg-618	943	9	2	2	NUM
fuelectenerg-618	943	10	.	.	NOUN
fuelectenerg-618	943	11	2	2	NUM
fuelectenerg-618	943	12	.	.	X
fuelectenerg-618	943	13	a	a	DET
fuelectenerg-618	943	14	bde	bde	NOUN
fuelectenerg-618	943	15	of	of	ADP
fuelectenerg-618	943	16	the	the	DET
fuelectenerg-618	943	17	type	type	NOUN
fuelectenerg-618	943	18	(	(	PUNCT
fuelectenerg-618	943	19	49	49	NUM
fuelectenerg-618	943	20	)	)	PUNCT
fuelectenerg-618	943	21	describes	describe	VERB
fuelectenerg-618	943	22	a	a	DET
fuelectenerg-618	943	23	lattice	lattice	NOUN
fuelectenerg-618	943	24	with	with	ADP
fuelectenerg-618	943	25	the	the	DET
fuelectenerg-618	943	26	infimum	infimum	ADJ
fuelectenerg-618	943	27	function	function	NOUN
fuelectenerg-618	943	28	q(x	q(x	NOUN
fuelectenerg-618	943	29	)	)	PUNCT
fuelectenerg-618	944	1	=	=	SYM
fuelectenerg-618	944	2	0	0	NUM
fuelectenerg-618	944	3	and	and	CCONJ
fuelectenerg-618	944	4	the	the	DET
fuelectenerg-618	944	5	supremum	supremum	ADJ
fuelectenerg-618	944	6	function	function	NOUN
fuelectenerg-618	944	7	r(x	r(x	PROPN
fuelectenerg-618	944	8	)	)	PUNCT
fuelectenerg-618	945	1	=	=	SYM
fuelectenerg-618	945	2	1	1	NUM
fuelectenerg-618	945	3	and	and	CCONJ
fuelectenerg-618	945	4	can	can	AUX
fuelectenerg-618	945	5	be	be	AUX
fuelectenerg-618	945	6	solved	solve	VERB
fuelectenerg-618	945	7	using	use	VERB
fuelectenerg-618	945	8	algorithm	algorithm	NOUN
fuelectenerg-618	945	9	boolean	boolean	ADJ
fuelectenerg-618	945	10	differential	differential	ADJ
fuelectenerg-618	945	11	equations	equation	NOUN
fuelectenerg-618	945	12	a	a	DET
fuelectenerg-618	945	13	common	common	ADJ
fuelectenerg-618	945	14	model	model	NOUN
fuelectenerg-618	945	15	for	for	ADP
fuelectenerg-618	945	16	classes	class	NOUN
fuelectenerg-618	945	17	,	,	PUNCT
fuelectenerg-618	945	18	lattices	lattice	NOUN
fuelectenerg-618	945	19	,	,	PUNCT
fuelectenerg-618	945	20	...	...	PUNCT
fuelectenerg-618	945	21	125	125	NUM
fuelectenerg-618	945	22	1	1	NUM
fuelectenerg-618	945	23	.	.	PUNCT
fuelectenerg-618	946	1	such	such	DET
fuelectenerg-618	946	2	a	a	DET
fuelectenerg-618	946	3	lattice	lattice	NOUN
fuelectenerg-618	946	4	contains	contain	VERB
fuelectenerg-618	946	5	not	not	PART
fuelectenerg-618	946	6	all	all	DET
fuelectenerg-618	946	7	functions	function	NOUN
fuelectenerg-618	946	8	which	which	PRON
fuelectenerg-618	946	9	are	be	AUX
fuelectenerg-618	946	10	greater	great	ADJ
fuelectenerg-618	946	11	than	than	ADP
fuelectenerg-618	946	12	q(x	q(x	NOUN
fuelectenerg-618	946	13	)	)	PUNCT
fuelectenerg-618	946	14	and	and	CCONJ
fuelectenerg-618	946	15	smaller	small	ADJ
fuelectenerg-618	946	16	than	than	ADP
fuelectenerg-618	946	17	r(x	r(x	PROPN
fuelectenerg-618	946	18	)	)	PUNCT
fuelectenerg-618	946	19	.	.	PUNCT
fuelectenerg-618	947	1	3	3	X
fuelectenerg-618	947	2	.	.	X
fuelectenerg-618	947	3	a	a	DET
fuelectenerg-618	947	4	bde	bde	NOUN
fuelectenerg-618	947	5	of	of	ADP
fuelectenerg-618	947	6	the	the	DET
fuelectenerg-618	947	7	more	more	ADV
fuelectenerg-618	947	8	general	general	ADJ
fuelectenerg-618	947	9	type	type	NOUN
fuelectenerg-618	947	10	(	(	PUNCT
fuelectenerg-618	947	11	56	56	NUM
fuelectenerg-618	947	12	)	)	PUNCT
fuelectenerg-618	947	13	merges	merge	VERB
fuelectenerg-618	947	14	the	the	DET
fuelectenerg-618	947	15	bdes	bde	NOUN
fuelectenerg-618	947	16	of	of	ADP
fuelectenerg-618	947	17	the	the	DET
fuelectenerg-618	947	18	cases	case	NOUN
fuelectenerg-618	947	19	1	1	NUM
fuelectenerg-618	947	20	and	and	CCONJ
fuelectenerg-618	947	21	2	2	NUM
fuelectenerg-618	947	22	.	.	X
fuelectenerg-618	947	23	such	such	DET
fuelectenerg-618	947	24	a	a	DET
fuelectenerg-618	947	25	bde	bde	PROPN
fuelectenerg-618	947	26	must	must	AUX
fuelectenerg-618	947	27	be	be	AUX
fuelectenerg-618	947	28	solved	solve	VERB
fuelectenerg-618	947	29	using	use	VERB
fuelectenerg-618	947	30	algorithm	algorithm	NOUN
fuelectenerg-618	947	31	2	2	NUM
fuelectenerg-618	947	32	because	because	SCONJ
fuelectenerg-618	947	33	the	the	DET
fuelectenerg-618	947	34	mark	mark	NOUN
fuelectenerg-618	947	35	functions	function	NOUN
fuelectenerg-618	947	36	q(x	q(x	PROPN
fuelectenerg-618	947	37	)	)	PUNCT
fuelectenerg-618	947	38	and	and	CCONJ
fuelectenerg-618	947	39	r(x	r(x	PROPN
fuelectenerg-618	947	40	)	)	PUNCT
fuelectenerg-618	947	41	are	be	AUX
fuelectenerg-618	947	42	not	not	PART
fuelectenerg-618	947	43	limited	limit	VERB
fuelectenerg-618	947	44	to	to	ADP
fuelectenerg-618	947	45	the	the	DET
fuelectenerg-618	947	46	case	case	NOUN
fuelectenerg-618	947	47	2	2	X
fuelectenerg-618	947	48	.	.	PUNCT
fuelectenerg-618	948	1	it	it	PRON
fuelectenerg-618	948	2	can	can	AUX
fuelectenerg-618	948	3	be	be	AUX
fuelectenerg-618	948	4	very	very	ADV
fuelectenerg-618	948	5	difficult	difficult	ADJ
fuelectenerg-618	948	6	to	to	PART
fuelectenerg-618	948	7	find	find	VERB
fuelectenerg-618	948	8	a	a	DET
fuelectenerg-618	948	9	bde	bde	NOUN
fuelectenerg-618	948	10	for	for	ADP
fuelectenerg-618	948	11	a	a	DET
fuelectenerg-618	948	12	needed	need	VERB
fuelectenerg-618	948	13	set	set	NOUN
fuelectenerg-618	948	14	of	of	ADP
fuelectenerg-618	948	15	boolean	boolean	ADJ
fuelectenerg-618	948	16	functions	function	NOUN
fuelectenerg-618	948	17	.	.	PUNCT
fuelectenerg-618	949	1	however	however	ADV
fuelectenerg-618	949	2	,	,	PUNCT
fuelectenerg-618	949	3	it	it	PRON
fuelectenerg-618	949	4	is	be	AUX
fuelectenerg-618	949	5	an	an	DET
fuelectenerg-618	949	6	advantage	advantage	NOUN
fuelectenerg-618	949	7	that	that	PRON
fuelectenerg-618	949	8	bdes	bde	VERB
fuelectenerg-618	949	9	for	for	ADP
fuelectenerg-618	949	10	lattices	lattice	NOUN
fuelectenerg-618	949	11	can	can	AUX
fuelectenerg-618	949	12	be	be	AUX
fuelectenerg-618	949	13	built	build	VERB
fuelectenerg-618	949	14	in	in	ADP
fuelectenerg-618	949	15	a	a	DET
fuelectenerg-618	949	16	straight	straight	ADJ
fuelectenerg-618	949	17	manner	manner	NOUN
fuelectenerg-618	949	18	based	base	VERB
fuelectenerg-618	949	19	on	on	ADP
fuelectenerg-618	949	20	the	the	DET
fuelectenerg-618	949	21	mentioned	mention	VERB
fuelectenerg-618	949	22	types	type	NOUN
fuelectenerg-618	949	23	.	.	PUNCT
fuelectenerg-618	950	1	therefore	therefore	ADV
fuelectenerg-618	950	2	,	,	PUNCT
fuelectenerg-618	950	3	we	we	PRON
fuelectenerg-618	950	4	call	call	VERB
fuelectenerg-618	950	5	bdes	bde	NOUN
fuelectenerg-618	950	6	of	of	ADP
fuelectenerg-618	950	7	the	the	DET
fuelectenerg-618	950	8	types	type	NOUN
fuelectenerg-618	950	9	(	(	PUNCT
fuelectenerg-618	950	10	46	46	NUM
fuelectenerg-618	950	11	)	)	PUNCT
fuelectenerg-618	950	12	,	,	PUNCT
fuelectenerg-618	950	13	(	(	PUNCT
fuelectenerg-618	950	14	49	49	NUM
fuelectenerg-618	950	15	)	)	PUNCT
fuelectenerg-618	950	16	,	,	PUNCT
fuelectenerg-618	950	17	and	and	CCONJ
fuelectenerg-618	950	18	(	(	PUNCT
fuelectenerg-618	950	19	56	56	NUM
fuelectenerg-618	950	20	)	)	PUNCT
fuelectenerg-618	950	21	lattice	lattice	NOUN
fuelectenerg-618	950	22	-	-	PUNCT
fuelectenerg-618	950	23	bdes	bde	NOUN
fuelectenerg-618	950	24	.	.	PUNCT
fuelectenerg-618	951	1	the	the	DET
fuelectenerg-618	951	2	result	result	NOUN
fuelectenerg-618	951	3	of	of	ADP
fuelectenerg-618	951	4	a	a	DET
fuelectenerg-618	951	5	lattice	lattice	NOUN
fuelectenerg-618	951	6	-	-	PUNCT
fuelectenerg-618	951	7	bde	bde	NOUN
fuelectenerg-618	951	8	(	(	PUNCT
fuelectenerg-618	951	9	49	49	NUM
fuelectenerg-618	951	10	)	)	PUNCT
fuelectenerg-618	951	11	or	or	CCONJ
fuelectenerg-618	951	12	(	(	PUNCT
fuelectenerg-618	951	13	56	56	NUM
fuelectenerg-618	951	14	)	)	PUNCT
fuelectenerg-618	951	15	is	be	AUX
fuelectenerg-618	951	16	a	a	DET
fuelectenerg-618	951	17	generalized	generalized	ADJ
fuelectenerg-618	951	18	lattice	lattice	NOUN
fuelectenerg-618	951	19	of	of	ADP
fuelectenerg-618	951	20	boolean	boolean	ADJ
fuelectenerg-618	951	21	functions	function	NOUN
fuelectenerg-618	951	22	that	that	PRON
fuelectenerg-618	951	23	can	can	AUX
fuelectenerg-618	951	24	not	not	PART
fuelectenerg-618	951	25	be	be	AUX
fuelectenerg-618	951	26	expressed	express	VERB
fuelectenerg-618	951	27	by	by	ADP
fuelectenerg-618	951	28	an	an	DET
fuelectenerg-618	951	29	incompletely	incompletely	ADV
fuelectenerg-618	951	30	specified	specify	VERB
fuelectenerg-618	951	31	function	function	NOUN
fuelectenerg-618	951	32	.	.	PUNCT
fuelectenerg-618	952	1	in	in	ADP
fuelectenerg-618	952	2	this	this	DET
fuelectenerg-618	952	3	way	way	NOUN
fuelectenerg-618	952	4	these	these	DET
fuelectenerg-618	952	5	lattice	lattice	NOUN
fuelectenerg-618	952	6	-	-	PUNCT
fuelectenerg-618	952	7	bdes	bde	NOUN
fuelectenerg-618	952	8	opens	open	VERB
fuelectenerg-618	952	9	many	many	ADJ
fuelectenerg-618	952	10	new	new	ADJ
fuelectenerg-618	952	11	fields	field	NOUN
fuelectenerg-618	952	12	of	of	ADP
fuelectenerg-618	952	13	applications	application	NOUN
fuelectenerg-618	952	14	,	,	PUNCT
fuelectenerg-618	952	15	e.g.	e.g.	ADV
fuelectenerg-618	952	16	,	,	PUNCT
fuelectenerg-618	952	17	in	in	ADP
fuelectenerg-618	952	18	circuit	circuit	NOUN
fuelectenerg-618	952	19	design	design	NOUN
fuelectenerg-618	952	20	.	.	PUNCT
fuelectenerg-618	953	1	vice	vice	PROPN
fuelectenerg-618	953	2	versa	versa	ADV
fuelectenerg-618	953	3	,	,	PUNCT
fuelectenerg-618	953	4	the	the	DET
fuelectenerg-618	953	5	lattice	lattice	NOUN
fuelectenerg-618	953	6	-	-	PUNCT
fuelectenerg-618	953	7	bde	bde	PROPN
fuelectenerg-618	953	8	(	(	PUNCT
fuelectenerg-618	953	9	46	46	NUM
fuelectenerg-618	953	10	)	)	PUNCT
fuelectenerg-618	953	11	is	be	AUX
fuelectenerg-618	953	12	a	a	DET
fuelectenerg-618	953	13	sub	sub	NOUN
fuelectenerg-618	953	14	-	-	NOUN
fuelectenerg-618	953	15	type	type	NOUN
fuelectenerg-618	953	16	of	of	ADP
fuelectenerg-618	953	17	the	the	DET
fuelectenerg-618	953	18	most	most	ADV
fuelectenerg-618	953	19	general	general	ADJ
fuelectenerg-618	953	20	latticebde	latticebde	NOUN
fuelectenerg-618	953	21	(	(	PUNCT
fuelectenerg-618	953	22	56	56	NUM
fuelectenerg-618	953	23	)	)	PUNCT
fuelectenerg-618	953	24	so	so	SCONJ
fuelectenerg-618	953	25	that	that	SCONJ
fuelectenerg-618	953	26	the	the	DET
fuelectenerg-618	953	27	so	so	ADV
fuelectenerg-618	953	28	far	far	ADV
fuelectenerg-618	953	29	widely	widely	ADV
fuelectenerg-618	953	30	used	use	VERB
fuelectenerg-618	953	31	lattices	lattice	NOUN
fuelectenerg-618	953	32	of	of	ADP
fuelectenerg-618	953	33	boolean	boolean	ADJ
fuelectenerg-618	953	34	functions	function	NOUN
fuelectenerg-618	953	35	fitting	fit	VERB
fuelectenerg-618	953	36	to	to	ADP
fuelectenerg-618	953	37	an	an	DET
fuelectenerg-618	953	38	incompletely	incompletely	ADV
fuelectenerg-618	953	39	specified	specify	VERB
fuelectenerg-618	953	40	boolean	boolean	ADJ
fuelectenerg-618	953	41	function	function	NOUN
fuelectenerg-618	953	42	are	be	AUX
fuelectenerg-618	953	43	integrated	integrate	VERB
fuelectenerg-618	953	44	in	in	ADP
fuelectenerg-618	953	45	the	the	DET
fuelectenerg-618	953	46	new	new	ADJ
fuelectenerg-618	953	47	theory	theory	NOUN
fuelectenerg-618	953	48	in	in	ADP
fuelectenerg-618	953	49	a	a	DET
fuelectenerg-618	953	50	natural	natural	ADJ
fuelectenerg-618	953	51	manner	manner	NOUN
fuelectenerg-618	953	52	.	.	PUNCT
fuelectenerg-618	954	1	it	it	PRON
fuelectenerg-618	954	2	is	be	AUX
fuelectenerg-618	954	3	a	a	DET
fuelectenerg-618	954	4	challenge	challenge	NOUN
fuelectenerg-618	954	5	for	for	SCONJ
fuelectenerg-618	954	6	the	the	DET
fuelectenerg-618	954	7	future	future	NOUN
fuelectenerg-618	954	8	to	to	PART
fuelectenerg-618	954	9	utilize	utilize	VERB
fuelectenerg-618	954	10	lattice	lattice	NOUN
fuelectenerg-618	954	11	-	-	PUNCT
fuelectenerg-618	954	12	bdes	bde	NOUN
fuelectenerg-618	954	13	for	for	ADP
fuelectenerg-618	954	14	specific	specific	ADJ
fuelectenerg-618	954	15	applications	application	NOUN
fuelectenerg-618	954	16	.	.	PUNCT
fuelectenerg-618	955	1	references	reference	NOUN
fuelectenerg-618	955	2	[	[	X
fuelectenerg-618	955	3	1	1	NUM
fuelectenerg-618	955	4	]	]	PUNCT
fuelectenerg-618	955	5	c.	c.	NOUN
fuelectenerg-618	955	6	posthoff	posthoff	PROPN
fuelectenerg-618	955	7	and	and	CCONJ
fuelectenerg-618	955	8	b.	b.	PROPN
fuelectenerg-618	955	9	steinbach	steinbach	PROPN
fuelectenerg-618	955	10	,	,	PUNCT
fuelectenerg-618	955	11	logic	logic	NOUN
fuelectenerg-618	955	12	functions	function	NOUN
fuelectenerg-618	955	13	and	and	CCONJ
fuelectenerg-618	955	14	equations	equation	NOUN
fuelectenerg-618	955	15	binary	binary	NOUN
fuelectenerg-618	955	16	models	model	NOUN
fuelectenerg-618	955	17	for	for	ADP
fuelectenerg-618	955	18	computer	computer	NOUN
fuelectenerg-618	955	19	science	science	NOUN
fuelectenerg-618	955	20	.	.	PUNCT
fuelectenerg-618	956	1	dordrecht	dordrecht	PROPN
fuelectenerg-618	956	2	:	:	PUNCT
fuelectenerg-618	956	3	springer	springer	NOUN
fuelectenerg-618	956	4	,	,	PUNCT
fuelectenerg-618	956	5	2004	2004	NUM
fuelectenerg-618	956	6	.	.	PUNCT
fuelectenerg-618	957	1	[	[	X
fuelectenerg-618	957	2	2	2	NUM
fuelectenerg-618	957	3	]	]	PUNCT
fuelectenerg-618	957	4	b.	b.	PROPN
fuelectenerg-618	957	5	steinbach	steinbach	PROPN
fuelectenerg-618	957	6	and	and	CCONJ
fuelectenerg-618	957	7	c.	c.	PROPN
fuelectenerg-618	957	8	posthoff	posthoff	PROPN
fuelectenerg-618	957	9	,	,	PUNCT
fuelectenerg-618	957	10	“	"	PUNCT
fuelectenerg-618	957	11	boolean	boolean	ADJ
fuelectenerg-618	957	12	differential	differential	NOUN
fuelectenerg-618	957	13	calculus	calculus	NOUN
fuelectenerg-618	957	14	,	,	PUNCT
fuelectenerg-618	957	15	”	"	PUNCT
fuelectenerg-618	957	16	in	in	ADP
fuelectenerg-618	957	17	progress	progress	NOUN
fuelectenerg-618	957	18	in	in	ADP
fuelectenerg-618	957	19	applications	application	NOUN
fuelectenerg-618	957	20	of	of	ADP
fuelectenerg-618	957	21	boolean	boolean	ADJ
fuelectenerg-618	957	22	functions	function	NOUN
fuelectenerg-618	957	23	.	.	PUNCT
fuelectenerg-618	958	1	morgan	morgan	PROPN
fuelectenerg-618	958	2	&	&	CCONJ
fuelectenerg-618	958	3	claypool	claypool	PROPN
fuelectenerg-618	958	4	publishers	publisher	NOUN
fuelectenerg-618	958	5	,	,	PUNCT
fuelectenerg-618	958	6	san	san	PROPN
fuelectenerg-618	958	7	rafael	rafael	PROPN
fuelectenerg-618	958	8	,	,	PUNCT
fuelectenerg-618	958	9	ca	ca	PROPN
fuelectenerg-618	958	10	usa	usa	PROPN
fuelectenerg-618	958	11	,	,	PUNCT
fuelectenerg-618	958	12	2010	2010	NUM
fuelectenerg-618	958	13	,	,	PUNCT
fuelectenerg-618	958	14	pp	pp	ADJ
fuelectenerg-618	958	15	.	.	PUNCT
fuelectenerg-618	959	1	55–78	55–78	X
fuelectenerg-618	959	2	.	.	PUNCT
fuelectenerg-618	960	1	[	[	X
fuelectenerg-618	960	2	3	3	NUM
fuelectenerg-618	960	3	]	]	PUNCT
fuelectenerg-618	960	4	—	—	PUNCT
fuelectenerg-618	960	5	—	—	PUNCT
fuelectenerg-618	960	6	,	,	PUNCT
fuelectenerg-618	960	7	“	"	PUNCT
fuelectenerg-618	960	8	boolean	boolean	ADJ
fuelectenerg-618	960	9	differential	differential	ADJ
fuelectenerg-618	960	10	calculus	calculus	NOUN
fuelectenerg-618	960	11	theory	theory	NOUN
fuelectenerg-618	960	12	and	and	CCONJ
fuelectenerg-618	960	13	applications	application	NOUN
fuelectenerg-618	960	14	,	,	PUNCT
fuelectenerg-618	960	15	”	"	PUNCT
fuelectenerg-618	960	16	journal	journal	NOUN
fuelectenerg-618	960	17	of	of	ADP
fuelectenerg-618	960	18	computational	computational	ADJ
fuelectenerg-618	960	19	and	and	CCONJ
fuelectenerg-618	960	20	theoretical	theoretical	ADJ
fuelectenerg-618	960	21	nanoscience	nanoscience	NOUN
fuelectenerg-618	960	22	,	,	PUNCT
fuelectenerg-618	960	23	vol	vol	NOUN
fuelectenerg-618	960	24	.	.	PROPN
fuelectenerg-618	960	25	7	7	NUM
fuelectenerg-618	960	26	,	,	PUNCT
fuelectenerg-618	960	27	no	no	INTJ
fuelectenerg-618	960	28	.	.	NOUN
fuelectenerg-618	960	29	6	6	NUM
fuelectenerg-618	960	30	,	,	PUNCT
fuelectenerg-618	960	31	pp	pp	ADJ
fuelectenerg-618	960	32	.	.	PUNCT
fuelectenerg-618	961	1	933–981	933–981	NUM
fuelectenerg-618	961	2	,	,	PUNCT
fuelectenerg-618	961	3	2010	2010	NUM
fuelectenerg-618	961	4	.	.	PUNCT
fuelectenerg-618	962	1	[	[	X
fuelectenerg-618	962	2	4	4	NUM
fuelectenerg-618	962	3	]	]	PUNCT
fuelectenerg-618	962	4	—	—	PUNCT
fuelectenerg-618	962	5	—	—	PUNCT
fuelectenerg-618	962	6	,	,	PUNCT
fuelectenerg-618	962	7	boolean	boolean	ADJ
fuelectenerg-618	962	8	differential	differential	ADJ
fuelectenerg-618	962	9	equations	equation	NOUN
fuelectenerg-618	962	10	.	.	PUNCT
fuelectenerg-618	963	1	morgan	morgan	PROPN
fuelectenerg-618	963	2	&	&	CCONJ
fuelectenerg-618	963	3	claypool	claypool	PROPN
fuelectenerg-618	963	4	publishers	publisher	NOUN
fuelectenerg-618	963	5	,	,	PUNCT
fuelectenerg-618	963	6	2013	2013	NUM
fuelectenerg-618	963	7	.	.	PUNCT
fuelectenerg-618	964	1	[	[	X
fuelectenerg-618	964	2	5	5	X
fuelectenerg-618	964	3	]	]	PUNCT
fuelectenerg-618	964	4	b.	b.	PROPN
fuelectenerg-618	964	5	steinbach	steinbach	PROPN
fuelectenerg-618	964	6	,	,	PUNCT
fuelectenerg-618	964	7	“	"	PUNCT
fuelectenerg-618	964	8	lösung	lösung	NOUN
fuelectenerg-618	964	9	binärer	binärer	PROPN
fuelectenerg-618	964	10	differentialgleichungen	differentialgleichungen	PROPN
fuelectenerg-618	964	11	und	und	VERB
fuelectenerg-618	964	12	ihre	ihre	NOUN
fuelectenerg-618	964	13	anwendung	anwendung	PROPN
fuelectenerg-618	964	14	auf	auf	PROPN
fuelectenerg-618	964	15	binäre	binäre	PROPN
fuelectenerg-618	964	16	systeme	systeme	PROPN
fuelectenerg-618	964	17	,	,	PUNCT
fuelectenerg-618	964	18	”	"	PUNCT
fuelectenerg-618	964	19	ph.d	ph.d	PROPN
fuelectenerg-618	964	20	.	.	PUNCT
fuelectenerg-618	965	1	dissertation	dissertation	NOUN
fuelectenerg-618	965	2	,	,	PUNCT
fuelectenerg-618	965	3	th	th	PROPN
fuelectenerg-618	965	4	karl	karl	PROPN
fuelectenerg-618	965	5	-	-	PUNCT
fuelectenerg-618	965	6	marx	marx	PROPN
fuelectenerg-618	965	7	-	-	PUNCT
fuelectenerg-618	965	8	stadt	stadt	NOUN
fuelectenerg-618	965	9	(	(	PUNCT
fuelectenerg-618	965	10	germany	germany	PROPN
fuelectenerg-618	965	11	)	)	PUNCT
fuelectenerg-618	965	12	,	,	PUNCT
fuelectenerg-618	965	13	1981	1981	NUM
fuelectenerg-618	965	14	.	.	PUNCT
fuelectenerg-618	966	1	[	[	X
fuelectenerg-618	966	2	6	6	NUM
fuelectenerg-618	966	3	]	]	X
fuelectenerg-618	966	4	d.	d.	PROPN
fuelectenerg-618	966	5	bochmann	bochmann	PROPN
fuelectenerg-618	966	6	and	and	CCONJ
fuelectenerg-618	966	7	c.	c.	PROPN
fuelectenerg-618	966	8	posthoff	posthoff	PROPN
fuelectenerg-618	966	9	,	,	PUNCT
fuelectenerg-618	966	10	binre	binre	NOUN
fuelectenerg-618	966	11	dynamische	dynamische	PROPN
fuelectenerg-618	966	12	systeme	systeme	PROPN
fuelectenerg-618	966	13	.	.	PUNCT
fuelectenerg-618	967	1	munich	munich	PROPN
fuelectenerg-618	967	2	,	,	PUNCT
fuelectenerg-618	967	3	vienna	vienna	PROPN
fuelectenerg-618	967	4	:	:	PUNCT
fuelectenerg-618	967	5	oldenbourg	oldenbourg	NOUN
fuelectenerg-618	967	6	,	,	PUNCT
fuelectenerg-618	967	7	1981	1981	NUM
fuelectenerg-618	967	8	.	.	PUNCT
fuelectenerg-618	968	1	[	[	X
fuelectenerg-618	968	2	7	7	X
fuelectenerg-618	968	3	]	]	X
fuelectenerg-618	968	4	o.	o.	PROPN
fuelectenerg-618	968	5	s.	s.	PROPN
fuelectenerg-618	968	6	rothaus	rothaus	PROPN
fuelectenerg-618	968	7	,	,	PUNCT
fuelectenerg-618	968	8	“	"	PUNCT
fuelectenerg-618	968	9	on	on	ADP
fuelectenerg-618	968	10	”	"	PUNCT
fuelectenerg-618	968	11	bent	bent	ADJ
fuelectenerg-618	968	12	”	"	PUNCT
fuelectenerg-618	968	13	functions	function	NOUN
fuelectenerg-618	968	14	,	,	PUNCT
fuelectenerg-618	968	15	”	"	PUNCT
fuelectenerg-618	968	16	j.	j.	PROPN
fuelectenerg-618	968	17	combinatorial	combinatorial	PROPN
fuelectenerg-618	968	18	theory	theory	NOUN
fuelectenerg-618	968	19	,	,	PUNCT
fuelectenerg-618	968	20	vol	vol	NOUN
fuelectenerg-618	968	21	.	.	PROPN
fuelectenerg-618	968	22	20	20	NUM
fuelectenerg-618	968	23	,	,	PUNCT
fuelectenerg-618	968	24	pp	pp	ADJ
fuelectenerg-618	968	25	.	.	PUNCT
fuelectenerg-618	969	1	300–305	300–305	NUM
fuelectenerg-618	969	2	,	,	PUNCT
fuelectenerg-618	969	3	1976	1976	NUM
fuelectenerg-618	969	4	.	.	PUNCT
fuelectenerg-618	970	1	[	[	X
fuelectenerg-618	970	2	8	8	NUM
fuelectenerg-618	970	3	]	]	PUNCT
fuelectenerg-618	970	4	b.	b.	PROPN
fuelectenerg-618	970	5	steinbach	steinbach	PROPN
fuelectenerg-618	970	6	and	and	CCONJ
fuelectenerg-618	970	7	c.	c.	PROPN
fuelectenerg-618	970	8	posthoff	posthoff	PROPN
fuelectenerg-618	970	9	,	,	PUNCT
fuelectenerg-618	970	10	“	"	PUNCT
fuelectenerg-618	970	11	classification	classification	NOUN
fuelectenerg-618	970	12	and	and	CCONJ
fuelectenerg-618	970	13	generation	generation	NOUN
fuelectenerg-618	970	14	of	of	ADP
fuelectenerg-618	970	15	bent	bent	ADJ
fuelectenerg-618	970	16	functions	function	NOUN
fuelectenerg-618	970	17	,	,	PUNCT
fuelectenerg-618	970	18	”	"	PUNCT
fuelectenerg-618	970	19	in	in	ADP
fuelectenerg-618	970	20	proceedings	proceeding	NOUN
fuelectenerg-618	970	21	reed	reed	NOUN
fuelectenerg-618	970	22	-	-	PUNCT
fuelectenerg-618	970	23	muller	muller	NOUN
fuelectenerg-618	970	24	2011	2011	NUM
fuelectenerg-618	970	25	workshop	workshop	NOUN
fuelectenerg-618	970	26	,	,	PUNCT
fuelectenerg-618	970	27	gustavelund	gustavelund	NOUN
fuelectenerg-618	970	28	conference	conference	NOUN
fuelectenerg-618	970	29	centre	centre	NOUN
fuelectenerg-618	970	30	,	,	PUNCT
fuelectenerg-618	970	31	tuusula	tuusula	PROPN
fuelectenerg-618	970	32	,	,	PUNCT
fuelectenerg-618	970	33	finnland	finnland	PROPN
fuelectenerg-618	970	34	,	,	PUNCT
fuelectenerg-618	970	35	2011	2011	NUM
fuelectenerg-618	970	36	,	,	PUNCT
fuelectenerg-618	970	37	pp	pp	ADV
fuelectenerg-618	970	38	.	.	PUNCT
fuelectenerg-618	971	1	81–91	81–91	NUM
fuelectenerg-618	971	2	.	.	PUNCT
fuelectenerg-618	972	1	74	74	NUM
fuelectenerg-618	972	2	b.	b.	PROPN
fuelectenerg-618	972	3	steinbach	steinbach	PROPN
fuelectenerg-618	972	4	,	,	PUNCT
fuelectenerg-618	972	5	c.	c.	PROPN
fuelectenerg-618	972	6	posthoff	posthoff	PROPN
fuelectenerg-618	972	7	boolean	boolean	ADJ
fuelectenerg-618	972	8	differential	differential	ADJ
fuelectenerg-618	972	9	equations	equation	NOUN
fuelectenerg-618	972	10	–	–	PUNCT
fuelectenerg-618	972	11	a	a	DET
fuelectenerg-618	972	12	common	common	ADJ
fuelectenerg-618	972	13	model	model	NOUN
fuelectenerg-618	972	14	for	for	ADP
fuelectenerg-618	972	15	classes	class	NOUN
fuelectenerg-618	972	16	,	,	PUNCT
fuelectenerg-618	972	17	lattices	lattice	NOUN
fuelectenerg-618	972	18	...	...	PUNCT
fuelectenerg-618	972	19	75	75	NUM
fuelectenerg-618	972	20	126	126	NUM
fuelectenerg-618	972	21	b.	b.	NOUN
fuelectenerg-618	972	22	steinbach	steinbach	PROPN
fuelectenerg-618	972	23	and	and	CCONJ
fuelectenerg-618	972	24	c.	c.	PROPN
fuelectenerg-618	972	25	posthoff	posthoff	PROPN
fuelectenerg-618	973	1	[	[	X
fuelectenerg-618	973	2	9	9	NUM
fuelectenerg-618	973	3	]	]	PUNCT
fuelectenerg-618	973	4	—	—	PUNCT
fuelectenerg-618	973	5	—	—	PUNCT
fuelectenerg-618	973	6	,	,	PUNCT
fuelectenerg-618	973	7	“	"	PUNCT
fuelectenerg-618	973	8	classes	class	NOUN
fuelectenerg-618	973	9	of	of	ADP
fuelectenerg-618	973	10	bent	bent	ADJ
fuelectenerg-618	973	11	functions	function	NOUN
fuelectenerg-618	973	12	identified	identify	VERB
fuelectenerg-618	973	13	by	by	ADP
fuelectenerg-618	973	14	specific	specific	ADJ
fuelectenerg-618	973	15	normal	normal	ADJ
fuelectenerg-618	973	16	forms	form	NOUN
fuelectenerg-618	973	17	and	and	CCONJ
fuelectenerg-618	973	18	generated	generate	VERB
fuelectenerg-618	973	19	using	use	VERB
fuelectenerg-618	973	20	boolean	boolean	ADJ
fuelectenerg-618	973	21	differential	differential	ADJ
fuelectenerg-618	973	22	equations	equation	NOUN
fuelectenerg-618	973	23	,	,	PUNCT
fuelectenerg-618	973	24	”	"	PUNCT
fuelectenerg-618	973	25	facta	facta	PROPN
fuelectenerg-618	973	26	universitatis	universitatis	PROPN
fuelectenerg-618	973	27	(	(	PUNCT
fuelectenerg-618	973	28	niš	niš	NOUN
fuelectenerg-618	973	29	)	)	PUNCT
fuelectenerg-618	973	30	,	,	PUNCT
fuelectenerg-618	973	31	vol	vol	NOUN
fuelectenerg-618	973	32	.	.	PROPN
fuelectenerg-618	973	33	24	24	NUM
fuelectenerg-618	973	34	,	,	PUNCT
fuelectenerg-618	973	35	no	no	INTJ
fuelectenerg-618	973	36	.	.	NOUN
fuelectenerg-618	973	37	3	3	NUM
fuelectenerg-618	973	38	,	,	PUNCT
fuelectenerg-618	973	39	pp	pp	ADJ
fuelectenerg-618	973	40	.	.	PUNCT
fuelectenerg-618	974	1	357–383	357–383	NUM
fuelectenerg-618	974	2	,	,	PUNCT
fuelectenerg-618	974	3	2011	2011	NUM
fuelectenerg-618	974	4	.	.	PUNCT
fuelectenerg-618	975	1	[	[	X
fuelectenerg-618	975	2	10	10	NUM
fuelectenerg-618	975	3	]	]	X
fuelectenerg-618	975	4	b.	b.	PROPN
fuelectenerg-618	975	5	steinbach	steinbach	PROPN
fuelectenerg-618	975	6	,	,	PUNCT
fuelectenerg-618	975	7	“	"	PUNCT
fuelectenerg-618	975	8	generalized	generalized	ADJ
fuelectenerg-618	975	9	lattices	lattice	NOUN
fuelectenerg-618	975	10	of	of	ADP
fuelectenerg-618	975	11	boolean	boolean	ADJ
fuelectenerg-618	975	12	functions	function	NOUN
fuelectenerg-618	975	13	utilized	utilize	VERB
fuelectenerg-618	975	14	for	for	ADP
fuelectenerg-618	975	15	derivative	derivative	ADJ
fuelectenerg-618	975	16	operations	operation	NOUN
fuelectenerg-618	975	17	,	,	PUNCT
fuelectenerg-618	975	18	”	"	PUNCT
fuelectenerg-618	975	19	in	in	ADP
fuelectenerg-618	975	20	materiały	materiały	NOUN
fuelectenerg-618	975	21	konferencyjne	konferencyjne	PROPN
fuelectenerg-618	975	22	knws’13	knws’13	PROPN
fuelectenerg-618	975	23	,	,	PUNCT
fuelectenerg-618	975	24	łagów	łagów	NOUN
fuelectenerg-618	975	25	,	,	PUNCT
fuelectenerg-618	975	26	poland	poland	PROPN
fuelectenerg-618	975	27	,	,	PUNCT
fuelectenerg-618	975	28	2013	2013	NUM
fuelectenerg-618	975	29	,	,	PUNCT
fuelectenerg-618	975	30	pp	pp	ADJ
fuelectenerg-618	975	31	.	.	PUNCT
fuelectenerg-618	976	1	1–17	1–17	NOUN
fuelectenerg-618	976	2	.	.	PUNCT
fuelectenerg-618	977	1	76	76	NUM
fuelectenerg-618	977	2	b.	b.	PROPN
fuelectenerg-618	977	3	steinbach	steinbach	PROPN
fuelectenerg-618	977	4	,	,	PUNCT
fuelectenerg-618	977	5	c.	c.	PROPN
fuelectenerg-618	977	6	posthoff	posthoff	PROPN
fuelectenerg-618	977	7	boolean	boolean	ADJ
fuelectenerg-618	977	8	differential	differential	ADJ
fuelectenerg-618	977	9	equations	equation	NOUN
fuelectenerg-618	977	10	–	–	PUNCT
fuelectenerg-618	977	11	a	a	DET
fuelectenerg-618	977	12	common	common	ADJ
fuelectenerg-618	977	13	model	model	NOUN
fuelectenerg-618	977	14	for	for	ADP
fuelectenerg-618	977	15	classes	class	NOUN
fuelectenerg-618	977	16	,	,	PUNCT
fuelectenerg-618	977	17	lattices	lattice	NOUN
fuelectenerg-618	977	18	...	...	PUNCT
fuelectenerg-618	977	19	pb	pb	ADP