MedianFilter[image, r] filters image by replacing every value by the median in its range r neighborhood. MedianFilter[data, r] applies median filtering to an array of data.

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

Mathematica usually goes about its work silently, giving output only when it has finished doing the calculations you asked for. However, if it looks as if Mathematica is ...

I represents the imaginary unit Sqrt[-1].

Tan[z] gives the tangent of z.

TreePlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a tree plot of the graph in which vertex v_ik is connected to vertex v_jk.TreePlot[{{v i 1 -> v j 1, lbl_1}, ...}] ...

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...

MaxValue[f, x] gives the maximum value of f with respect to x.MaxValue[f, {x, y, ...}] gives the maximum value of f with respect to x, y, .... MaxValue[{f, cons}, {x, y, ...

StandardDeviation[list] gives the sample standard deviation of the elements in list. StandardDeviation[dist] gives the standard deviation of the symbolic distribution dist.