Uses of Class
edu.jas.ps.MultiVarPowerSeries

Packages that use MultiVarPowerSeries

Package	Description
edu.jas.ps	Generic coefficients power series package.

Uses of MultiVarPowerSeries in edu.jas.ps

Classes in edu.jas.ps that implement interfaces with type arguments of type MultiVarPowerSeries

Modifier and Type	Class	Description
class	MultiVarPowerSeries<C extends RingElem<C>>	Multivariate power series implementation.
class	MultiVarPowerSeriesRing<C extends RingElem<C>>	Multivariate power series ring implementation.

Fields in edu.jas.ps declared as MultiVarPowerSeries

Modifier and Type	Field	Description
final MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.ONE	The constant power series 1 for this ring.
final MultiVarPowerSeries<C>	Pair.pi
final MultiVarPowerSeries<C>	Pair.pj
final MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.ZERO	The constant power series 0 for this ring.

Fields in edu.jas.ps with type parameters of type MultiVarPowerSeries

Modifier and Type	Field	Description
protected final ArrayList<MultiVarPowerSeries<C>>	OrderedPairlist.P

Methods in edu.jas.ps that return MultiVarPowerSeries

Modifier and Type	Method	Description
MultiVarPowerSeries<C>	MultiVarPowerSeries.abs()	Absolute value.
MultiVarPowerSeries<C>	MultiVarPowerSeries.copy()	Clone this power series.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.copy(MultiVarPowerSeries<C> c)	Copy power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.differentiate(int r)	Differentiate with respect to variable r.
MultiVarPowerSeries<C>	MultiVarPowerSeries.divide(MultiVarPowerSeries<C> ps)	Divide by another power series.
MultiVarPowerSeries<C>[]	MultiVarPowerSeries.egcd(MultiVarPowerSeries<C> S)	Power series extended greatest common divisor.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.fixPoint(MultiVarPowerSeriesMap<C> map)	Fixed point construction.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.fromInteger(long a)	Get a (constant) MultiVarPowerSeries<C> from a long value.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.fromInteger(BigInteger a)	Get a (constant) MultiVarPowerSeries<C> from a java.math.BigInteger.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.fromPolynomial(GenPolynomial<C> a)	Get a MultiVarPowerSeries<C> from a GenPolynomial<C>.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.fromPowerSeries(UnivPowerSeries<C> ps, int r)	Get a MultiVarPowerSeries<C> from a univariate power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.gcd(MultiVarPowerSeries<C> ps)	Power series greatest common divisor.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.generate(Function<ExpVector, C> gener)	Generate a power series via lambda expression.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.getCOS(int r)	Get the power series of the cosinus function.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.getEXP(int r)	Get the power series of the exponential function.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.getONE()	Get the one element.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.getSIN(int r)	Get the power series of the sinus function.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.getTAN(int r)	Get the power series of the tangens function.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.getZERO()	Get the zero element.
MultiVarPowerSeries<C>	MultiVarPowerSeries.integrate(C c, int r)	Integrate with respect to variable r and with given constant.
MultiVarPowerSeries<C>	MultiVarPowerSeries.inverse()	Inverse power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.map(UnaryFunctor<? super C, C> f)	Map a unary function to this power series.
MultiVarPowerSeries<C>	MultiVarPowerSeriesMap.map(MultiVarPowerSeries<C> ps)	Map.
MultiVarPowerSeries<C>	MultiVarPowerSeries.monic()	Monic.
MultiVarPowerSeries<C>	MultiVarPowerSeries.multiply(C a)	Multiply by coefficient.
MultiVarPowerSeries<C>	MultiVarPowerSeries.multiply(C c, ExpVector k)	Multiply by exponent vector and coefficient.
MultiVarPowerSeries<C>	MultiVarPowerSeries.multiply(MultiVarPowerSeries<C> ps)	Multiply by another power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.negate()	Negate.
MultiVarPowerSeries<C>	ReductionSeq.normalform(List<MultiVarPowerSeries<C>> Pp, MultiVarPowerSeries<C> Ap)	Top normal-form with Mora's algorithm.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.parse(Reader r)	Parse a power series.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.parse(String s)	Parse a power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.prepend(C h, int r)	Prepend a new leading coefficient.
MultiVarPowerSeries<C>[]	MultiVarPowerSeries.quotientRemainder(MultiVarPowerSeries<C> S)	Quotient and remainder by division of this by S.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.random()	Generate a random power series with k = 5, d = 0.7.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.random(int k)	Generate a random power series with d = 0.7.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.random(int k, float d)	Generate a random power series.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.random(int k, float d, Random rnd)	Generate a random power series.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.random(int k, Random rnd)	Generate a random power series with d = 0.7.
MultiVarPowerSeries<C>	MultiVarPowerSeries.reductum()	Reductum.
MultiVarPowerSeries<C>	MultiVarPowerSeries.reductum(int r)	Reductum.
MultiVarPowerSeries<C>	MultiVarPowerSeries.remainder(MultiVarPowerSeries<C> ps)	Power series remainder.
MultiVarPowerSeries<C>	MultiVarPowerSeries.select(Selector<? super C> sel)	Select coefficients.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.seriesOfTaylor(TaylorFunction<C> f, List<C> a)	Taylor power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.shift(int k, int r)	Shift coefficients.
MultiVarPowerSeries<C>	MultiVarPowerSeries.shift(ExpVector k)	Shift coefficients.
MultiVarPowerSeries<C>	MultiVarPowerSeries.shiftSelect(Selector<? super C> sel)	Shift select coefficients.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.solvePDE(MultiVarPowerSeries<C> f, C c, int r)	Solve an partial differential equation.
MultiVarPowerSeries<C>	ReductionSeq.SPolynomial(MultiVarPowerSeries<C> A, MultiVarPowerSeries<C> B)	S-Power-series, S-polynomial.
MultiVarPowerSeries<C>	MultiVarPowerSeries.subtract(C c, ExpVector k)	Subtract exponent vector and coefficient.
MultiVarPowerSeries<C>	MultiVarPowerSeries.subtract(MultiVarPowerSeries<C> ps)	Subtract a another power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.subtractZip(MultiVarPowerSeries<C> ps)	Subtraction of two power series, using zip().
MultiVarPowerSeries<C>	MultiVarPowerSeries.sum(C c, ExpVector k)	Sum exponent vector and coefficient.
MultiVarPowerSeries<C>	MultiVarPowerSeries.sum(MultiVarCoefficients<C> mvc)	Sum exponent vector and coefficient.
MultiVarPowerSeries<C>	MultiVarPowerSeries.sum(MultiVarPowerSeries<C> ps)	Sum a another power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.sum(Map.Entry<ExpVector, C> m)	Sum monomial.
MultiVarPowerSeries<C>	MultiVarPowerSeries.sumZip(MultiVarPowerSeries<C> ps)	Sum of two power series, using zip().
MultiVarPowerSeries<C>	ReductionSeq.totalNormalform(List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)	Total reduced normal-form with Mora's algorithm.
MultiVarPowerSeries<C>	MultiVarPowerSeries.zip(BinaryFunctor<? super C, ? super C, C> f, MultiVarPowerSeries<C> ps)	Map a binary function to this and another power series.

Methods in edu.jas.ps that return types with arguments of type MultiVarPowerSeries

Modifier and Type	Method	Description
List<MultiVarPowerSeries<C>>	MultiVarPowerSeriesRing.fromPolynomial(List<GenPolynomial<C>> A)	Get a list of MultiVarPowerSeries<C> from a list of GenPolynomial<C>.
List<MultiVarPowerSeries<C>>	MultiVarPowerSeriesRing.generators()	Get a list of the generating elements.
List<MultiVarPowerSeries<C>>	OrderedPairlist.getList()	Get the list of power series.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.minimalSTD(List<MultiVarPowerSeries<C>> Gp)	Minimal ordered Standard basis.
static <C extends RingElem<C>> List<MultiVarPowerSeries<C>>	PSUtil.monic(List<MultiVarPowerSeries<C>> L)	Power series list monic.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.normalizeZerosOnes(List<MultiVarPowerSeries<C>> A)	Normalize power series list.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.STD(int modv, List<MultiVarPowerSeries<C>> F)	Standard base using pairlist class.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.STD(List<MultiVarPowerSeries<C>> F)	Standard base using pairlist class.
List<MultiVarPowerSeries<C>>	ReductionSeq.totalNormalform(List<MultiVarPowerSeries<C>> P)	Total reduced normalform with Mora's algorithm.

Methods in edu.jas.ps with parameters of type MultiVarPowerSeries

Modifier and Type	Method	Description
int	MultiVarPowerSeries.compareTo(MultiVarPowerSeries<C> ps)	Compare to.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.copy(MultiVarPowerSeries<C> c)	Copy power series.
boolean	ReductionSeq.criterion4(MultiVarPowerSeries<C> A, MultiVarPowerSeries<C> B, ExpVector e)	GB criterion 4.
MultiVarPowerSeries<C>	MultiVarPowerSeries.divide(MultiVarPowerSeries<C> ps)	Divide by another power series.
MultiVarPowerSeries<C>[]	MultiVarPowerSeries.egcd(MultiVarPowerSeries<C> S)	Power series extended greatest common divisor.
MultiVarPowerSeries<C>	MultiVarPowerSeries.gcd(MultiVarPowerSeries<C> ps)	Power series greatest common divisor.
boolean	ReductionSeq.isTopReducible(List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)	Is top reducible.
MultiVarPowerSeries<C>	MultiVarPowerSeriesMap.map(MultiVarPowerSeries<C> ps)	Map.
boolean	ReductionSeq.moduleCriterion(int modv, MultiVarPowerSeries<C> A, MultiVarPowerSeries<C> B)	Module criterium.
MultiVarPowerSeries<C>	MultiVarPowerSeries.multiply(MultiVarPowerSeries<C> ps)	Multiply by another power series.
MultiVarPowerSeries<C>	ReductionSeq.normalform(List<MultiVarPowerSeries<C>> Pp, MultiVarPowerSeries<C> Ap)	Top normal-form with Mora's algorithm.
int	OrderedPairlist.put(MultiVarPowerSeries<C> p)	Put one power Series to the pairlist and reduction matrix.
int	OrderedPairlist.putOne(MultiVarPowerSeries<C> one)	Put to ONE-power-series to the pairlist.
MultiVarPowerSeries<C>[]	MultiVarPowerSeries.quotientRemainder(MultiVarPowerSeries<C> S)	Quotient and remainder by division of this by S.
MultiVarPowerSeries<C>	MultiVarPowerSeries.remainder(MultiVarPowerSeries<C> ps)	Power series remainder.
MultiVarPowerSeries<C>	MultiVarPowerSeriesRing.solvePDE(MultiVarPowerSeries<C> f, C c, int r)	Solve an partial differential equation.
MultiVarPowerSeries<C>	ReductionSeq.SPolynomial(MultiVarPowerSeries<C> A, MultiVarPowerSeries<C> B)	S-Power-series, S-polynomial.
MultiVarPowerSeries<C>	MultiVarPowerSeries.subtract(MultiVarPowerSeries<C> ps)	Subtract a another power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.subtractZip(MultiVarPowerSeries<C> ps)	Subtraction of two power series, using zip().
MultiVarPowerSeries<C>	MultiVarPowerSeries.sum(MultiVarPowerSeries<C> ps)	Sum a another power series.
MultiVarPowerSeries<C>	MultiVarPowerSeries.sumZip(MultiVarPowerSeries<C> ps)	Sum of two power series, using zip().
MultiVarPowerSeries<C>	ReductionSeq.totalNormalform(List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)	Total reduced normal-form with Mora's algorithm.
MultiVarPowerSeries<C>	MultiVarPowerSeries.zip(BinaryFunctor<? super C, ? super C, C> f, MultiVarPowerSeries<C> ps)	Map a binary function to this and another power series.

Method parameters in edu.jas.ps with type arguments of type MultiVarPowerSeries

Modifier and Type	Method	Description
boolean	ReductionSeq.contains(List<MultiVarPowerSeries<C>> S, List<MultiVarPowerSeries<C>> B)	Ideal containment.
boolean	StandardBaseSeq.isSTD(int modv, List<MultiVarPowerSeries<C>> F)	Standard base test.
boolean	StandardBaseSeq.isSTD(List<MultiVarPowerSeries<C>> F)	Standard base test.
boolean	ReductionSeq.isTopReducible(List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)	Is top reducible.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.minimalSTD(List<MultiVarPowerSeries<C>> Gp)	Minimal ordered Standard basis.
static <C extends RingElem<C>> List<MultiVarPowerSeries<C>>	PSUtil.monic(List<MultiVarPowerSeries<C>> L)	Power series list monic.
MultiVarPowerSeries<C>	ReductionSeq.normalform(List<MultiVarPowerSeries<C>> Pp, MultiVarPowerSeries<C> Ap)	Top normal-form with Mora's algorithm.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.normalizeZerosOnes(List<MultiVarPowerSeries<C>> A)	Normalize power series list.
int	OrderedPairlist.put(List<MultiVarPowerSeries<C>> F)	Put all power series in F to the pairlist and reduction matrix.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.STD(int modv, List<MultiVarPowerSeries<C>> F)	Standard base using pairlist class.
List<MultiVarPowerSeries<C>>	StandardBaseSeq.STD(List<MultiVarPowerSeries<C>> F)	Standard base using pairlist class.
List<MultiVarPowerSeries<C>>	ReductionSeq.totalNormalform(List<MultiVarPowerSeries<C>> P)	Total reduced normalform with Mora's algorithm.
MultiVarPowerSeries<C>	ReductionSeq.totalNormalform(List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)	Total reduced normal-form with Mora's algorithm.

Constructors in edu.jas.ps with parameters of type MultiVarPowerSeries

Modifier	Constructor	Description
	Pair(MultiVarPowerSeries<C> a, MultiVarPowerSeries<C> b, int i, int j)	Pair constructor.