ContourPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a contour plot of f as a function of x and y. ContourPlot[f == g, {x, x_min, x_max}, {y, y_min, y_max}] plots ...
Histogram[{x_1, x_2, ...}] plots a histogram of the values x_i.Histogram[{x_1, x_2, ...}, bspec] plots a histogram with bin width specification bspec.Histogram[{x_1, x_2, ...
NDSolve
(Built-in Mathematica Symbol) NDSolve[eqns, y, {x, x_min, x_max}] finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range ...
RectangleChart3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] makes a 3D rectangle chart with bars of width x_i, depth y_i and height z_i. RectangleChart3D[{..., w_i[{x_i, y_i, ...
RectangleChart[{{x_1, y_1}, {x_2, y_2}, ...}] makes a rectangle chart with bars of width x_i and height y_i. RectangleChart[{..., w_i[{x_i, y_i}, ...], ..., w_j[{x_i, y_j}, ...
Reduce
(Built-in Mathematica Symbol) Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...
SectorChart3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] makes a 3D sector chart with sector angle proportional to x_i, radius y_i, and height z_i.SectorChart3D[{..., w_i[{x_i, ...
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 ...
Groups admit many different representations. In particular, all finite groups can be represented as permutation groups, that is, they are always isomorphic to a subgroup of ...
The ability to generate pseudorandom numbers is important for simulating events, estimating probabilities and other quantities, making randomized assignments or selections, ...