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 ...

When you execute a command like NotebookWrite[obj,data] the actual operation of inserting data into your notebook is performed in the front end. Normally, however, the kernel ...

Here is an expression in full form. TreeForm prints out expressions to show their "tree" structure. You can think of any Mathematica expression as a tree. In the expression ...

This gives a result for the integral of x^n that is valid for almost all values of n. For the special case of x^-1, however, the correct result is different. The overall goal ...

Functions for grouping together elements of lists. Here is a list. This groups the elements of the list in pairs, throwing away the single element left at the end.

Mathematica allows you not only to export graphics and sounds, but also to import them. With Import you can read graphics and sounds in a wide variety of formats, and bring ...

You can rotate 3D graphics with your mouse. Move the pointer over the 3D graphic. The pointer changes to the 3D rotate pointer GraphicsBox[RasterBox[CompressedData[ ]], ...

An image is equivalent to its symbolic expression. You can operate on an image as you would on a symbolic expression. This input produces some disks. Type // InputForm after ...

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.

The following graph represents an impulse response of an ideal Low Pass Filter (LPF). This graph illustrates some of the ways of interacting with graphics. Details on each ...