Mathematica usually keeps the elements of a list in exactly the order you originally entered them. If you want to treat a Mathematica list like a mathematical set, however, ...

Simplifying with assumptions. Mathematica does not automatically simplify this, since it is only true for some values of x. Sqrt[x^2] is equal to x for x≥0, but not otherwise.

EntropyFilter[image, r] filters image by replacing every value by the information entropy of the values in its range r neighborhood. EntropyFilter[data, r] applies entropy ...

TraceOn is an option for Trace and related functions which specifies when tracing should be switched on.

Mathematica allows convenient automated selection of plotting and image regions using a family of specially developed robust algorithms, as well as allowing detailed manual ...

SetAccuracy[expr, a] yields a version of expr in which all numbers have been set to have accuracy a.

Graphics3D[primitives, options] represents a three-dimensional graphical image.

PolarPlot[r, {\[Theta], \[Theta]_min, \[Theta]_max}] generates a polar plot of a curve with radius r as a function of angle \[Theta].PolarPlot[{f_1, f_2, ...}, {\[Theta], ...

The single function Manipulate gives immediate access to a huge range of powerful interactive capabilities. For any expression with symbolic parameters, Manipulate ...

Mathematica's sophisticated notebook paradigm provides a uniquely powerful way to manage, organize, document and present computations—from a few input and output lines, to ...