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Package sage :: Package rings :: Module multi_polynomial_ring :: Class MPolynomialRing |
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object
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MPolynomialRing
Multivariate polynomial ring.
EXAMPLES:>>> R = MPolynomialRing(RationalField(), 3) >>> x0,x1,x2 = R.gens() >>> x0 + x1 + x2 1x_0 + 1x_1 + 1x_2 >>> (x0 + x1 + x2)**2 1x_0^2 + 2x_0x_1 + 2x_0x_2 + 1x_1^2 + 2x_1x_2 + 1x_2^2 >>> (x0 + x1 + x2)**3 1x_0^3 + 3x_0^2x_1 + 3x_0^2x_2 + 3x_0x_1^2 + 6x_0x_1x_2 + 3x_0x_2^2 + 1x_1^3 + 3x_1^2x_2 + 3x_1x_2^2 + 1x_2^3 >>> 2*x0 + x1**2 + 3*x2**2 2x_0 + 1x_1^2 + 3x_2^2
Method Summary | |
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__init__(self,
*args,
**kwds)
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__new__(cls,
*args,
**kwds)
(Static method) | |
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.__repr__() <==> repr(x) | |
x.__setattr__('name', value) <==> x.name = value | |
x.__str__() <==> str(x) |
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