Differentiating a known function gives an explicit result. Differentiating an unknown function f gives a result in terms of f'. Mathematica applies the chain rule for ...

With the default option setting Lighting->Automatic, Mathematica uses a simulated lighting model to determine how to color polygons in three-dimensional graphics. Mathematica ...

Mathematica expressions provide a very general way to handle all kinds of data, and you may sometimes want to use such expressions inside your external programs. A language ...

Typical command-line options for Mathematica executables. If the Mathematica front end is called with a notebook file as a command-line argument, then this notebook will be ...

"Graphics and Sound" discusses how to use functions like Plot and ListPlot to plot graphs of functions and data. This tutorial discusses how Mathematica represents such ...

BattleLemarieWavelet[] represents the Battle-Lemarié wavelet of order 3.BattleLemarieWavelet[n] represents the Battle-Lemarié wavelet of order n evaluated on equally spaced ...

Polygon[{pt_1, pt_2, ...}] is a graphics primitive that represents a filled polygon. Polygon[{{pt_11, pt_12, ...}, {pt_21, ...}, ...}] represents a collection of polygons.

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).

Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...

The Mathematica compiler can run computations in parallel. It does this by threading a compiled function over lists of data in parallel. A first step is to create a compiled ...