leggrid2d(x, y, c)
This function returns the values:
$$p(a,b) = \sum_{i,j} c_{i,j} * L_i(a) * L_j(b)$$where the points :None:None:`(a, b)`
consist of all pairs formed by taking a
from x
and :None:None:`b`
from y
. The resulting points form a grid with x
in the first dimension and y
in the second.
The parameters x
and y
are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars. In either case, either x
and y
or their elements must support multiplication and addition both with themselves and with the elements of c
.
If c
has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape + y.shape.
The two dimensional series is evaluated at the points in the Cartesian product of x
and y
. If x
or y
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.
Array of coefficients ordered so that the coefficient of the term of multi-degree i,j is contained in :None:None:`c[i,j]`
. If c
has dimension greater than two the remaining indices enumerate multiple sets of coefficients.
The values of the two dimensional Chebyshev series at points in the Cartesian product of x
and y
.
Evaluate a 2-D Legendre series on the Cartesian product of x and y.
The following pages refer to to this document either explicitly or contain code examples using this.
numpy.polynomial.legendre.legval3d
numpy.polynomial.legendre.legval2d
numpy.polynomial.legendre.leggrid3d
numpy.polynomial.legendre.legval
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