ParametricPlot (Built-in Mathematica Symbol)

ParametricPlot[{f_x, f_y}, {u, u_min, u_max}] generates a parametric plot of a curve with x and y coordinates f_x and f_y as a function of u. ParametricPlot[{{f_x, f_y}, ...

Formatted Output (Mathematica Tutorial)

Ever since Version 3 of Mathematica, there has been rich support for arbitrary mathematical typesetting and layout. Underlying all that power was a so-called box language, ...

Delay Differential Equations (Mathematica Tutorial)

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...

Some Notes on Internal Implementation (Mathematica Tutorial)

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

Writing Java Programs That Use ... (JLink Tutorial)

The first part of this User Guide describes using J/Link to allow you to call from Mathematica into Java, thereby extending the Mathematica environment to include the ...

ListWaveform (Audio Package Symbol)

ListWaveform[{{f_1, a_1}, {f_2, a_2}, ...}, freq, dur] creates a Sound object with fundamental frequency of freq hertz, lasting for dur seconds, with a spectrum in which ...

PairedHistogram (Built-in Mathematica Symbol)

PairedHistogram[{x_1, x_2, ...}, {y_1, y_2, ...}] plots a paired histogram of the values x_i and y_i.PairedHistogram[{x_1, x_2, ...}, {y_1, y_2, ...}, bspec] plots a paired ...

Real Polynomial Systems (Mathematica Tutorial)

A real polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers and

Combinatorica (Combinatorica Package Tutorial)

Combinatorica extends Mathematica by over 450 functions in combinatorics and graph theory. It includes functions for constructing graphs and other combinatorial objects, ...

Concurrency: Managing Parallel Processes (Parallel Package Tutorial)

A process is simply a Mathematica expression being evaluated. A processor is a parallel kernel that performs such evaluations. The command ParallelEvaluate discussed in the ...