There are a number of important interactions in Mathematica between evaluation and pattern matching. The first observation is that pattern matching is usually done on ...

Sometimes you may want to set up functions where certain arguments, if omitted, are given "default values". The pattern x_:v stands for an object that can be omitted, and if ...

SphericalPlot3D[r, \[Theta], \[Phi]] generates a 3D plot with a spherical radius r as a function of spherical coordinates \[Theta] and \[Phi].SphericalPlot3D[r, {\[Theta], ...

The built-in function Reduce provides the functionality previously found in Algebra`InequalitySolve`.

Just as normal and stable distributions are natural limit distributions when considering linear combinations such as means of independent variables, extreme value ...

If you have special-purpose programs written in C or Fortran, you may want to take formulas you have generated in Mathematica and insert them into the source code of your ...

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

VonMisesDistribution[\[Mu], \[Kappa]] represents a von Mises distribution with mean \[Mu] and concentration \[Kappa].

You can define wavelets to plug into the wavelet analysis framework by using the correct template. A wavelet wave is of the form wfam[args], where wfam is the symbol that ...

ArcCoth[z] gives the inverse hyperbolic cotangent coth -1 (z) of the complex number z.