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numpy.polynomial.legendre.leggrid3d(x, y, z, c)
[source] -
Evaluate a 3-D Legendre series on the Cartesian product of x, y, and z.
This function returns the values:
where the points
(a, b, c)
consist of all triples formed by takinga
fromx
,b
fromy
, andc
fromz
. The resulting points form a grid withx
in the first dimension,y
in the second, andz
in the third.The parameters
x
,y
, andz
are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars. In either case, eitherx
,y
, andz
or their elements must support multiplication and addition both with themselves and with the elements ofc
.If
c
has fewer than three dimensions, ones are implicitly appended to its shape to make it 3-D. The shape of the result will be c.shape[3:] + x.shape + y.shape + z.shape.Parameters: x, y, z : array_like, compatible objects
The three dimensional series is evaluated at the points in the Cartesian product of
x
,y
, andz
. Ifx
,`y`, orz
is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and, if it isn?t an ndarray, it is treated as a scalar.c : array_like
Array of coefficients ordered so that the coefficients for terms of degree i,j are contained in
c[i,j]
. Ifc
has dimension greater than two the remaining indices enumerate multiple sets of coefficients.Returns: values : ndarray, compatible object
The values of the two dimensional polynomial at points in the Cartesian product of
x
andy
.Notes
numpy.polynomial.legendre.leggrid3d()
2017-01-10 18:17:32
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