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

Mathematica provides many mechanisms for interfacing with the web —from exporting graphics and structured active documents to interacting with web services, importing web ...

Mathematica options starts the full Mathematica system including notebook interface on Windows and Mac.

Identity[expr] gives expr (the identity operation).

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 ...

Work with Variables and Functions Work with Lists Work with Rules

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.

Solving linear first-order ODEs is straightforward and only requires the use of a suitable integrating factor. In sharp contrast, there are a large number of methods ...