CoefficientRules[poly, {x_1, x_2, ...}] gives the list {{e_11, e_12, ...} -> c_1, {e_21, ...} -> c_2, ...} of exponent vectors and coefficients for the monomials in poly with ...

ConstantArray[c, n] generates a list of n copies of the element c.ConstantArray[c, {n_1, n_2, ...}] generates an n_1*n_2*... array of nested lists containing copies of the ...

HankelMatrix[n] gives the n*n Hankel matrix with first row and first column being successive integers.HankelMatrix[{c_1, c_2, ..., c_n}] gives the Hankel matrix whose first ...

Inverse[m] gives the inverse of a square matrix m.

x + y + z represents a sum of terms.

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

CUDAFourier[list] finds the discrete Fourier transform of a list of complex numbers.CUDAFourier[mem] finds the discrete Fourier transform of a CUDAMemory.

CUDATranspose[mat] transposes input matrix mat.CUDATranspose[mem] transposes input CUDAMemory mem.

BooleanAlgebra[n] gives a Hasse diagram for the Boolean algebra on n elements. The function takes two options: Type and VertexLabel, with default values Undirected and False, ...

Each version of Mathematica comes with a variety of standard extra packages that provide specific additional functionality. The specific code of these packages can be ...