MathieuCPrime[a, q, z] gives the derivative with respect to z of the even Mathieu function with characteristic value a and parameter q.
MathieuSPrime[a, q, z] gives the derivative with respect to z of the odd Mathieu function with characteristic value a and parameter q.
NumberOfPermutationsByCycles[n, m] gives the number of permutations of length n with exactly m cycles.
NumberOfPermutationsByTypes[l] gives the number of permutations of type l.
Exp
(Built-in Mathematica Symbol) Exp[z] gives the exponential of z.
Sign
(Built-in Mathematica Symbol) Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.
Erfc
(Built-in Mathematica Symbol) Erfc[z] gives the complementary error function erfc(z).
Erf
(Built-in Mathematica Symbol) Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).
LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...
Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...