Uses of Class
edu.jas.ps.MultiVarPowerSeries
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Packages that use MultiVarPowerSeries Package Description edu.jas.ps Generic coefficients power series package. -
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Uses of MultiVarPowerSeries in edu.jas.ps
Fields in edu.jas.ps declared as MultiVarPowerSeries Modifier and Type Field Description MultiVarPowerSeries<C>MultiVarPowerSeriesRing. ONEThe constant power series 1 for this ring.MultiVarPowerSeries<C>Pair. piMultiVarPowerSeries<C>Pair. pjMultiVarPowerSeries<C>MultiVarPowerSeriesRing. ZEROThe constant power series 0 for this ring.Fields in edu.jas.ps with type parameters of type MultiVarPowerSeries Modifier and Type Field Description protected java.util.ArrayList<MultiVarPowerSeries<C>>OrderedPairlist. PMethods 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(java.math.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(java.util.function.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(java.util.List<MultiVarPowerSeries<C>> Pp, MultiVarPowerSeries<C> Ap)Top normal-form with Mora's algorithm.MultiVarPowerSeries<C>MultiVarPowerSeriesRing. parse(java.io.Reader r)Parse a power series.MultiVarPowerSeries<C>MultiVarPowerSeriesRing. parse(java.lang.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, java.util.Random rnd)Generate a random power series.MultiVarPowerSeries<C>MultiVarPowerSeriesRing. random(int k, java.util.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, java.util.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(java.util.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(java.util.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 java.util.List<MultiVarPowerSeries<C>>MultiVarPowerSeriesRing. fromPolynomial(java.util.List<GenPolynomial<C>> A)Get a list of MultiVarPowerSeries<C> from a list of GenPolynomial<C>.java.util.List<MultiVarPowerSeries<C>>MultiVarPowerSeriesRing. generators()Get a list of the generating elements.java.util.List<MultiVarPowerSeries<C>>OrderedPairlist. getList()Get the list of power series.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. minimalSTD(java.util.List<MultiVarPowerSeries<C>> Gp)Minimal ordered Standard basis.static <C extends RingElem<C>>
java.util.List<MultiVarPowerSeries<C>>PSUtil. monic(java.util.List<MultiVarPowerSeries<C>> L)Power series list monic.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. normalizeZerosOnes(java.util.List<MultiVarPowerSeries<C>> A)Normalize power series list.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. STD(int modv, java.util.List<MultiVarPowerSeries<C>> F)Standard base using pairlist class.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. STD(java.util.List<MultiVarPowerSeries<C>> F)Standard base using pairlist class.java.util.List<MultiVarPowerSeries<C>>ReductionSeq. totalNormalform(java.util.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 intMultiVarPowerSeries. compareTo(MultiVarPowerSeries<C> ps)Compare to.MultiVarPowerSeries<C>MultiVarPowerSeriesRing. copy(MultiVarPowerSeries<C> c)Copy power series.booleanReductionSeq. 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.booleanReductionSeq. isTopReducible(java.util.List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)Is top reducible.MultiVarPowerSeries<C>MultiVarPowerSeriesMap. map(MultiVarPowerSeries<C> ps)Map.booleanReductionSeq. 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(java.util.List<MultiVarPowerSeries<C>> Pp, MultiVarPowerSeries<C> Ap)Top normal-form with Mora's algorithm.intOrderedPairlist. put(MultiVarPowerSeries<C> p)Put one power Series to the pairlist and reduction matrix.intOrderedPairlist. 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(java.util.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 booleanReductionSeq. contains(java.util.List<MultiVarPowerSeries<C>> S, java.util.List<MultiVarPowerSeries<C>> B)Ideal containment.booleanStandardBaseSeq. isSTD(int modv, java.util.List<MultiVarPowerSeries<C>> F)Standard base test.booleanStandardBaseSeq. isSTD(java.util.List<MultiVarPowerSeries<C>> F)Standard base test.booleanReductionSeq. isTopReducible(java.util.List<MultiVarPowerSeries<C>> P, MultiVarPowerSeries<C> A)Is top reducible.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. minimalSTD(java.util.List<MultiVarPowerSeries<C>> Gp)Minimal ordered Standard basis.static <C extends RingElem<C>>
java.util.List<MultiVarPowerSeries<C>>PSUtil. monic(java.util.List<MultiVarPowerSeries<C>> L)Power series list monic.MultiVarPowerSeries<C>ReductionSeq. normalform(java.util.List<MultiVarPowerSeries<C>> Pp, MultiVarPowerSeries<C> Ap)Top normal-form with Mora's algorithm.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. normalizeZerosOnes(java.util.List<MultiVarPowerSeries<C>> A)Normalize power series list.intOrderedPairlist. put(java.util.List<MultiVarPowerSeries<C>> F)Put all power series in F to the pairlist and reduction matrix.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. STD(int modv, java.util.List<MultiVarPowerSeries<C>> F)Standard base using pairlist class.java.util.List<MultiVarPowerSeries<C>>StandardBaseSeq. STD(java.util.List<MultiVarPowerSeries<C>> F)Standard base using pairlist class.java.util.List<MultiVarPowerSeries<C>>ReductionSeq. totalNormalform(java.util.List<MultiVarPowerSeries<C>> P)Total reduced normalform with Mora's algorithm.MultiVarPowerSeries<C>ReductionSeq. totalNormalform(java.util.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 Constructor Description Pair(MultiVarPowerSeries<C> a, MultiVarPowerSeries<C> b, int i, int j)Pair constructor.
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