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 ...

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 C Compiler Driver package allows you to use a C compiler from within Mathematica. This section summarizes the functionality. This section summarizes the functions used to ...

Ordinary mathematical functions in Mathematica are always "listable", so that they are immediately applied in parallel across lists. Mathematica provides a wide variety of ...

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

E is the exponential constant E (base of natural logarithms), with numerical value \[TildeEqual] 2.71828.

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 ...

EuclideanDistance[u, v] gives the Euclidean distance between vectors u and v.

When you make a definition in the form f[args]=rhs or f[args]:=rhs, Mathematica associates your definition with the object f. This means, for example, that such definitions ...

Ways to change the overall options for a notebook. This creates a notebook displayed in a 40×30 window with a thin frame. Style options for a notebook.