Map a Function over a List (Mathematica How To)

Mathematica includes many powerful operations for working with lists. It is often desirable to map a function onto each individual element in a list. While listable functions ...

NeighborhoodGraph (Built-in Mathematica Symbol)

NeighborhoodGraph[g, v] gives the graph neighborhood vertex v in the graph g. NeighborhoodGraph[g, {a_1, a_2, ...}] gives the graph neighborhood of the a_i that can be ...

Thickness (Built-in Mathematica Symbol)

Thickness[r] is a graphics directive which specifies that lines which follow are to be drawn with thickness r. The thickness r is given as a fraction of the horizontal plot ...

Local Constants (Mathematica Tutorial)

Defining local constants. Module allows you to set up local variables, to which you can assign values and then change them. Often, however, all you really need are local ...

Optional and Default Arguments (Mathematica Tutorial)

Sometimes you may want to set up functions where certain arguments, if omitted, are given "default values". The pattern x_:v stands for an object that can be omitted, and if ...

Two-Way Communication with External ... (Mathematica Tutorial)

When you install a MathLink-compatible external program using Install, the program is set up to behave somewhat like a simplified Mathematica kernel. Every time you call a ...

Complex Polynomial Systems (Mathematica Tutorial)

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...

WatershedComponents (Built-in Mathematica Symbol)

WatershedComponents[image] computes the watershed transform of image, returning the result as a matrix in which positive integers label the catchment ...

Orthogonalize (Built-in Mathematica Symbol)

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

Column (Built-in Mathematica Symbol)

Column[{expr_1, expr_2, ...}] is an object that formats with the expr_i arranged in a column, with expr_1 above expr_2, etc. Column[list, alignment] aligns each element ...