Represents a JAS polynomial ring: GenPolynomialRing.
Methods to create ideals and ideals with parametric coefficients.
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variable_generators(self)
Define instance variables for generators. |
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__str__(self)
Create a string representation. |
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__eq__(self,
other)
Test if two rings are equal. |
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ideal(self,
ringstr="",
list=None)
Create an ideal. |
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paramideal(self,
ringstr="",
list=None,
gbsys=None)
Create an ideal in a polynomial ring with parameter coefficients. |
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powerseriesRing(self)
Get a power series ring from this ring. |
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gens(self)
Get list of generators of the polynomial 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 polynomial ring. |
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zero(self)
Get the zero of the polynomial ring. |
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random(self,
k=5,
l=7,
d=3,
q=0.3)
Get a random polynomial. |
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element(self,
poly)
Create an element from a string or object. |
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gcd(self,
a,
b)
Compute the greatest common divisor of a and b. |
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squarefreeFactors(self,
a)
Compute squarefree factors of polynomial. |
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factors(self,
a)
Compute irreducible factorization for modular, integer, rational
number and algebriac number coefficients. |
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factorsAbsolute(self,
a)
Compute absolute irreducible factorization for (modular,) rational
number coefficients. |
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realRoots(self,
a,
eps=None)
Compute real roots of univariate polynomial. |
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complexRoots(self,
a,
eps=None)
Compute complex roots of univariate polynomial. |
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algebraicRoots(self,
a,
eps=None)
Algebraic real and Compute complex roots of univariate polynomial. |
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rootRefine(self,
a,
eps=None)
Compute algebraic roots refinement. |
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decimalRoots(self,
a,
eps=None)
Compute decimal approximation of real and complex roots of univariate
polynomial. |
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rootsOfUnity(self,
a)
Roots of unity of real and complex algebraic numbers. |
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integrate(self,
a)
Integrate rational function or power series. |
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