VariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a}, {b}, ...] finds values of the parameters a, b, ... of a trial function u_t that extremize the functional ...

Mathematica provides a simple and consistent method for accessing and using files. In addition to inserting a file path that is specific to your operating system, Mathematica ...

Tally[list] tallies the elements in list, listing all distinct elements together with their multiplicities.Tally[list, test] uses test to determine whether pairs of elements ...

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

The Part function allows you to access specific parts of Mathematica expressions. But particularly when your expressions have fairly uniform structure, it is often convenient ...

Recall that connections to remote kernels, as opened by LaunchKernels, are represented as kernel objects. See the chapter Connection Methods for details. The commands in this ...

As of Mathematica 8, the functionality of the Wavelet Explorer add-on has been integrated into the Mathematica kernel.

Parallelize[expr] evaluates expr using automatic parallelization.

RootLocusPlot[g, {k, k_min, k_max}] generates the root locus plot of a rational function g of k ranging from k_min to k_max.RootLocusPlot[sys, ...] plots the root loci of a ...

This document describes how to compile and run MathLink programs written in the C language on Mac OS X systems. ("MathLink and External Program Communication" describes how ...