One of the most powerful aspects of graphics in Mathematica is the availability of three-dimensional as well as two-dimensional graphics primitives. By combining ...

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

An important subset of optimization problems is constrained nonlinear optimization, where the function is not linear and the parameter values are constrained to certain ...

Converting from strings or boxes to expressions. This takes a string and interprets it as an expression. Here is the box structure corresponding to the textual form of an ...

Floor[x] gives the greatest integer less than or equal to x. Floor[x, a] gives the greatest multiple of a less than or equal to x.

There are many situations where one wants to find a formula that best fits a given set of data. One way to do this in Mathematica is to use Fit. Basic linear fitting. Here is ...

CentralMoment[list, r] gives the r\[Null]^th central moment of the elements in list with respect to their mean.CentralMoment[dist, r] gives the r\[Null]^th central moment of ...

LineIntegralConvolutionPlot[{{v_x, v_y}, image}, {x, x_min, x_max}, {y, y_min, y_max}] generates a line integral convolution plot of image convolved with the vector field ...

LogLogPlot[f, {x, x_min, x_max}] generates a log-log plot of f as function of x from x_min to x_max. LogLogPlot[{f_1, f_2, ...}, {x, x_min, x_max}] generates log-log plots of ...

Animate[expr, {u, u_min, u_max}] generates an animation of expr in which u varies continuously from u_min to u_max. Animate[expr, {u, u_min, u_max, du}] takes u to vary in ...