When you give a list of equations to Solve, it assumes that you want all the equations to be satisfied simultaneously. It is also possible to give Solve more complicated ...

Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...

The complete collection of Greek letters in Mathematica. You can use Greek letters as the names of symbols. The only Greek letter with a built-in meaning in StandardForm is ...

Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.

The user interface for Mathematica provides many options for formatting input and output.

"Manipulating Elements of Lists" shows how you can pick out elements of lists based on their positions. Often, however, you will need to select elements based not on where ...

expr /. rules applies a rule or list of rules in an attempt to transform each subpart of an expression expr.

Mathematica can represent bit vectors of arbitrary length as integers, and uses highly optimized algorithms—including several original to Wolfram Research—to perform bitwise ...

Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses ...

Mathematica's uniform representation of vectors and matrices as lists automatically extends to tensors of any rank, allowing Mathematica's powerful list manipulation ...