Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

Many of the most powerful list manipulation operations in Mathematica treat whole lists as single objects. Sometimes, however, you need to pick out or set individual elements ...

Building on the concept of symbolic data description, Mathematica 6.0 introduced the major new "elements" framework for handling import and export of data, in nearly a ...

Mathematica 7 delivers the latest fruits of Wolfram Research's major long-term Computable Data Initiative, providing immediate access to curated static and dynamic data in ...

Building on Mathematica's unified symbolic architecture, Mathematica 7 introduces several major new integrated forms of data manipulation—including large-scale support for ...

PairedBarChart[{y_1, y_2, ...}, {z_1, z_2, ...}] makes a paired bar chart with bar lengths y_1, y_2, ... and z_1, z_2, ..., respectively.PairedBarChart[{..., w_i[y_i, ...], ...

ListLogLogPlot[{{x_1, y_1}, {x_2, y_2}, ...}] makes a log-log plot of the specified list of x and y values.ListLogLogPlot[{list_1, list_2, ...}] plots several lists of values.

RangeFilter[image, r] filters image by replacing every pixel by the difference of the maximum and minimum in its range r neighborhood. RangeFilter[data, r] applies a range ...

Lists are very important and general structures in Mathematica. They allow you to treat collections of all kinds of objects as a single entity. There are many ways to ...