Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...

Now that we have introduced the basic features of patterns in Mathematica, we can use them to give a more or less complete example. We will show how you could define your own ...

MeshShading is an option for plotting functions that gives lists of colors to use for regions between mesh divisions.

Mod[m, n] gives the remainder on division of m by n. Mod[m, n, d] uses an offset d.

As the basis for many other special functions, Mathematica supports efficient arbitrary-precision evaluation of gamma functions, as well as an extensive web of relations and ...

 

Mathematica not only allows you to mix arbitrary graphics into text, but also provides convenient font characters for some common shapes and icons.

RSolve[eqn, a[n], n] solves a recurrence equation for a[n]. RSolve[{eqn_1, eqn_2, ...}, {a_1[n], a_2[n], ...}, n] solves a system of recurrence equations. RSolve[eqn, a[n_1, ...

Statistical visualization is used to understand how data is distributed and how that compares to other datasets and distributions. Histograms and smooth histograms both ...

Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...