On most computer systems, you can execute external programs or commands from within Mathematica. Often you will want to take expressions you have generated in Mathematica, ...

WignerSemicircleDistribution[r] represents a Wigner semicircle distribution with radius r centered at the origin.WignerSemicircleDistribution[a, r] represents a Wigner ...

If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...

When you give a list of equations to Solve, it assumes that you want all the equations to be satisfied simultaneously. It is also possible to give Solve more complicated ...

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

Mathematica offers great flexibility for adding text to graphics; you can add text interactively using the Drawing Tools palette or programmatically using various graphics ...

x *= c multiplies x by c and returns the new value of x.

Permutations are basic elements in algebra. They have a natural non-commutative product (as matrices do as well), and hence can encode highly nontrivial structures in a ...

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...