Many algorithms and procedures require graphs with certain properties. These can be basic properties, such as being undirected, or deeper topology properties, such as being ...

Matrix representations of graphs go back a long time and are still in some areas the only way to represent graphs. Adjacency matrices represent adjacent vertices and ...

Hundreds of thousands of mathematical results derived at Wolfram Research give Mathematica unprecedented strength in the transformation and simplification of hypergeometric ...

The symbolic character of Mathematica makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and ...

Based on original algorithms developed at Wolfram Research, Mathematica's core randomness generation is both highly efficient and of exceptional quality. Mathematica can ...

Hyphenation is an option for Cell that specifies whether to allow hyphenation for words of text.

You can enter complex numbers in Mathematica just by including the constant I, equal to Sqrt[-1]. Make sure that you type a capital I. If you are using notebooks, you can ...

Chini equations are a generalization of Abel and Riccati equations. This solves a Chini equation.

A Clairaut equation is a first-order equation of the form A remarkable feature of this nonlinear equation is that its general solution has a very simple form. This is an ...

A linear second-order ordinary differential equation is said to be exact if An exact linear second-order ODE is solved by reduction to a linear first-order ODE.