A very common batch processing task is to reduce the dimensions of a set of images in one or more system folders, in effect constructing thumbnail images. Mathematica 's file ...

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

The hierarchy of levels at which options can be set. Here is a notebook containing three cells. This is what happens when the setting CellFrame->True is made specifically for ...

In addition to the interfaces of Import and Export, Mathematica 8 comes with an autoloading mechanism that simplifies the registration of formats used by the Import and ...

Normalize[v] gives the normalized form of a vector v. Normalize[z] gives the normalized form of a complex number z.Normalize[expr, f] normalizes with respect to the norm ...

You can tell a lot about what "type" of expression something is by looking at its head. Thus, for example, an integer has head Integer, while a list has head List. In a ...

Ways to get pieces of matrices. Matrices in Mathematica are represented as lists of lists. You can use all the standard Mathematica list-manipulation operations on matrices. ...

Mathematica by default interprets any sequence of letters or letter-like forms as the name of a symbol. All these are treated by Mathematica as symbols. Symbols with built-in ...

The MathLink library contains an extensive collection of C functions that allow arbitrary data and structure to be exchanged with Mathematica, and provide detailed control of ...

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...