RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

StringReplace["string", s -> sp] or StringReplace["string", {s_1 -> sp_1, s_2 -> sp_2, ...}] replaces the string expressions s_i by sp_i whenever they appear as substrings of ...

Definitions such as f[x_]=x^2 specify values for functions. Sometimes, however, you need to specify general properties of functions, without necessarily giving explicit ...

The functions described here are among the most commonly used discrete univariate statistical distributions. You can compute their densities, means, variances, and other ...

Although Mathematica matches patterns in a purely structural fashion, its notion of structural equivalence is quite sophisticated. In particular, it takes account of ...

The way modules work in Mathematica is basically very simple. Every time any module is used, a new symbol is created to represent each of its local variables. The new symbol ...

You may have noticed that there are two different ways to make assignments in Mathematica: lhs=rhs and lhs:=rhs. The basic difference between these forms is when the ...

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

A full Mathematica installation consists of thousands of separate files, arranged in several hundred directories under the main installation directory. The location of the ...

Output formats for numbers. These numbers are given in the default output format. Large numbers are given in scientific notation. This gives all numbers in scientific ...