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Package sage :: Package rings :: Module power_series_ring :: Class PowerSeriesRing |
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Gens
--+ |Ring
--+ |object
--+ | | |_uniqPolynomialRing
--+ |PolynomialRing
--+ |object
--+ | | |_uniqPowerSeriesRing
--+ | PowerSeriesRing
LaurentSeriesRing
Method Summary | |
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__init__(self,
base_ring,
variable)
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__call__(self,
x)
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__cmp__(self,
other)
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__repr__(self)
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Return a random polynomial. | |
Inherited from PolynomialRing | |
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The nth cyclotomic polynomial, which is irreducible and has a primitive nth root of unity as root. | |
If this is R[x], this intrinsic returns x. | |
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Returns the string which is used to print the generator of the polynomial ring. | |
Inherited from object | |
x.__delattr__('name') <==> del x.name | |
x.__getattribute__('name') <==> x.name | |
x.__hash__() <==> hash(x) | |
helper for pickle | |
helper for pickle | |
x.__setattr__('name', value) <==> x.name = value | |
x.__str__() <==> str(x) | |
Inherited from Ring | |
True if the elements have atomic string representations, in the sense that they print if they print at s, then -s means the negative of s. | |
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Inherited from Gens | |
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Instance Method Details |
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random(self, degree, bound=10)Return a random polynomial. INPUT: degree -- an int bound -- an int OUTPUT: Polynomial A polynomial whose coefficients of x^i, for i up to degree, are coercisions to the base ring of random integers between -bound and bound.
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