Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g. Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...

ListConvolve[ker, list] forms the convolution of the kernel ker with list. ListConvolve[ker, list, k] forms the cyclic convolution in which the k\[Null]^th element of ker is ...

ImageConvolve[image, ker] gives the convolution of image with kernel ker.

DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.

CUDABoxFilter[img, r] gives the box filter of img with radius r. CUDABoxFilter[list, r] gives the box filter of list with radius r. CUDABoxFilter[mem, r] gives the box filter ...

CUDAImageConvolve[img, kern] gives the convolution of img with kern. CUDAImageConvolve[list, kern] gives the convolution of list with kern. CUDAImageConvolve[mem, kern] gives ...

Mathematica's symbolic character allows it to handle generalized functions or "distributions" as a direct extension of classical mathematical functions, and to represent ...

Mathematica routinely handles huge arrays of numeric, symbolic, textual, or any other data, with any dimension or structure. Arrays are fully integrated into Mathematica's ...

DiracComb[x] represents the Dirac comb function giving a delta function at every integer point. DiracComb[x_1, x_2, ...] represents the multidimensional Dirac comb function.

Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...