Expressions as Trees (Mathematica Tutorial)

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 ...

Generic and Non-Generic Cases (Mathematica Tutorial)

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 ...

Grouping and Combining Elements of Lists (Mathematica Tutorial)

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.

Importing Graphics and Sounds (Mathematica Tutorial)

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 ...

Interacting with 3D Graphics (Mathematica Tutorial)

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[ ]], ...

Graphics as Input (Mathematica Tutorial)

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 ...

Resizing, Cropping, and Adding Margins ... (Mathematica Tutorial)

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.

Introduction to Editing Mathematica ... (Mathematica Tutorial)

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 ...

Introduction to Numerical Sums, ... (Mathematica Tutorial)

Numerical sums, products and integrals. Here is a numerical approximation to ∑_(i=1)^∞((1)/(i^3)). NIntegrate can handle singularities in the integration region.

Lists as Sets (Mathematica Tutorial)

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, ...