DSolve can be used for finding the general solution to a differential equation or system of differential equations. The general solution gives information about the structure ...

When you see a two-dimensional expression on the screen, you can edit it much as you would edit text. You can for example place your cursor somewhere and start typing. Or you ...

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 ...

When you create or use Mathematica packages, you will often want to refer to files in a system-independent way. You can use contexts to do this. The basic idea is that on ...

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.

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.