If you have a list of elements, it is often important to be able to apply a function separately to each of the elements. You can do this in Mathematica using Map. This ...

Here is one way to get multiple minima: call NMinimize multiple times with different random seeds, which will cause different optimization paths to be taken. This defines a ...

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

The symbolic architecture of Mathematica notebooks allows immediate interoperability with a wide range of document, web, graphics and other formats. Mathematica automatically ...

BubbleChart[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] makes a bubble chart with bubbles at positions {x_i, y_i} with sizes z_i.BubbleChart[{..., w_i[{x_i, y_i, z_i}, ...], ...

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...

Placed[expr, pos] represents an expression expr placed at relative position pos in a chart or other display. Placed[{e_1, e_2, ...}, pos] places each of the e_i at a relative ...

Apply[f, expr] or f @@ expr replaces the head of expr by f. Apply[f, expr, {1}] or f @@@ expr replaces heads at level 1 of expr by f.Apply[f, expr, levelspec] replaces heads ...

Map[f, expr] or f /@ expr applies f to each element on the first level in expr. Map[f, expr, levelspec] applies f to parts of expr specified by levelspec.

The single command Manipulate lets you create an astonishing range of interactive applications with just a few lines of input. Manipulate is designed to be used by anyone who ...