Repeated patterns. Multiple blanks such as x__ allow you to give patterns in which sequences of arbitrary expressions can occur. The Mathematica pattern repetition operators ...

Simplifying expressions. Mathematica does not automatically simplify an algebraic expression like this. Simplify performs the simplification.

In addition to the ordinary characters that appear on a standard keyboard, you can include in Mathematica strings any of the special characters that are supported by ...

Specifying output styles. The second x^2 is here shown in boldface. This shows the word text in font sizes from 10 to 20 points.

Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

A symmetric polynomial in variables x_1,…,x_n is a polynomial that is invariant under arbitrary permutations of x_1,…,x_n. Polynomials are called elementary symmetric ...

If you have installed Mathematica in a location where multiple users can run it (for example, on a file server or multi-user machine), then you can set up systemwide defaults ...

The following simple commands allow you to test the installation of Mathematica. Running these commands does not guarantee that the installation was successful, but a failed ...

"Values for Symbols" discussed how you can use transformation rules of the form x->value to replace symbols by values. The notion of transformation rules in Mathematica is, ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.