Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...

Starting in Version 7, Mathematica includes expression-to-speech functionality. In principle, any Mathematica expression can be translated in this way.

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

RectangleChart3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] makes a 3D rectangle chart with bars of width x_i, depth y_i and height z_i. RectangleChart3D[{..., w_i[{x_i, y_i, ...

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

Functions like Read and Find are most often used for processing text and data from external files. In some cases, however, you may find it convenient to use these same ...

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...

Building on its broad strengths in mathematics in general, and in special functions in particular, Mathematica provides a unique level of support for analytic number theory, ...