Class MultiSeriesRing

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Represents a JAS power series ring: MultiVarPowerSeriesRing.

Methods for multivariate power series arithmetic.

Instance Methods

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__init__(self, ringstr="", truncate=None, ring=None, cofac=None, names=None)
Ring constructor.

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__str__(self)
Create a string representation.

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gens(self)
Get the generators of the power series ring.

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inject_variables(self)
Inject generators as variables into the main global namespace

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one(self)
Get the one of the power series ring.

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zero(self)
Get the zero of the power series ring.

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random(self, n)
Get a random power series.

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exp(self, r)
Get the exponential power series, var r.

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sin(self, r)
Get the sinus power series, var r.

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cos(self, r)
Get the cosinus power series, var r.

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tan(self, r)
Get the tangens power series, var r.

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create(self, ifunc=None, jfunc=None, clazz=None)
Create a power series with given generating function.

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fixPoint(self, psmap)
Create a power series as fixed point of the given mapping.

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gcd(self, a, b)
Compute the greatest common divisor of a and b.

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fromPoly(self, a)
Convert a GenPolynomial to a power series.

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Method Details

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create(self, ifunc=None, jfunc=None, clazz=None)

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Create a power series with given generating function.

ifunc(int i) must return a value which is used in RingFactory.fromInteger(). jfunc(int i) must return a value of type ring.coFac. clazz must implement the Coefficients abstract class.

fixPoint(self, psmap)

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Create a power series as fixed point of the given mapping.

psmap must implement the UnivPowerSeriesMap interface.