RandomGraph[n, p] constructs a random labeled graph on n vertices with an edge probability of p.

The Experimental Functions Package contains functions that are being considered for official inclusion in future versions of Mathematica.

FieldExp[f, n] gives the value of the discrete exponential of n associated with the field f.

ButcherTreeSimplify[p, \[Eta], \[Xi]] gives the set of trees through order p that are not reduced by Butcher's quadrature conditions through order p, row-simplifying ...

For many applications, high-level constructs like Manipulate and TabView will immediately give you the dynamic interactivity you need. Mathematica also allows you to create ...

Automatically selecting between hundreds of powerful and in many cases original algorithms, Mathematica provides both numerical and symbolic solving of differential equations ...

Graphs provide great information visualization. Highlighting graph elements will let information stand out. By using algorithmic graph layouts, much of the structure in a ...

Mathematica not only includes highly optimized implementations of standard image processing filters, but also uses its general symbolic architecture to allow arbitrarily ...

Manipulate is an extremely powerful function that immediately creates complete dynamic interfaces, automatically optimized for usability and appearance. For specific ...

Mathematica 's differential equation solving functions can be applied to many classes of differential equations, automatically selecting the appropriate algorithms without ...