If you type in an expression like 0/0, Mathematica prints a message, and returns the result Indeterminate. An expression like 0/0 is an example of an indeterminate numerical ...

One of the most common uses of MathLink is to allow you to call functions in an external program from within Mathematica. Once the external program has been set up, all you ...

The following sequence shows how to change the aspect ratio of a plot. Using the Selection tool, click to select the graphic. Shift+drag a handle to change the aspect ratio.

In this tutorial, the following topics are discussed: The following sequence explains how to use the Reshape tool ( GraphicsBox[RasterBox[CompressedData[ ], {Offset[{0.5, ...

Mathematica normally assumes that all your variables are global. This means that every time you use a name like x, Mathematica normally assumes that you are referring to the ...

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...

The Lotka–Volterra system arises in mathematical biology and models the growth of animal species. Consider two species where Y_1(T) denotes the number of predators and Y_2(T) ...

While most built-in Mathematica functions follow the standard evaluation procedure, some important ones do not. For example, most of the Mathematica functions associated with ...

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

You will encounter nested lists if you use matrices or generate multidimensional arrays and tables. Mathematica provides many functions for handling such lists. A few ...