Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

Most modern computer systems provide ways to collect code into libraries. These libraries are said to be dynamic if they can be loaded into an application at runtime rather ...

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.

Mathematica provides functions that allow users to write their own file format converters and integrate them with the Mathematica Import and Export framework. You can ...

Prime[n] gives the n\[Null]^th prime number.

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).

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 ...

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

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