A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

PadLeft[list, n] makes a list of length n by padding list with zeros on the left. PadLeft[list, n, x] pads by repeating the element x. PadLeft[list, n, {x_1, x_2, ...}] pads ...

Graph[e, v, opts] represents a graph object where e is the list of edges annotated with graphics options, v is a list of vertices annotated with graphics options, and opts is ...

Converting between strings, boxes, and expressions. Here is a simple expression. This gives the InputForm of the expression as a string.

This tutorial describes the principles behind Dynamic, DynamicModule, and related functions, and goes into detail about how they interact with each other and with the rest of ...

On most computer systems, you can execute external programs or commands from within Mathematica. Often you will want to take expressions you have generated in Mathematica, ...

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.

WignerSemicircleDistribution[r] represents a Wigner semicircle distribution with radius r centered at the origin.WignerSemicircleDistribution[a, r] represents a Wigner ...

Mathematica includes comprehensive support for XML, the meta-markup language developed by the World Wide Web Consortium (W3C) for describing structured documents and data. ...

SingularValueDecomposition[m] gives the singular value decomposition for a numerical matrix m as a list of matrices {u, w, v}, where w is a diagonal matrix and m can be ...