Equivalent[e_1, e_2, ...] represents the logical equivalence e_1 \[DoubleLeftRightArrow] e_2 \[DoubleLeftRightArrow] ..., giving True when all of the e_i are the same.

FourierParameters is an option to Fourier and related functions that specifies the conventions to use in computing Fourier transforms.

RayleighDistribution[\[Sigma]] represents the Rayleigh distribution with scale parameter \[Sigma].

SeedRandom[n] resets the pseudorandom generator, using n as a seed. SeedRandom[] resets the generator, using as a seed the time of day and certain attributes of the current ...

The general solution to a differential equation contains undetermined coefficients that are labeled C[1], C[2], and so on. This example has one undetermined parameter, C[1]. ...

There are four major areas in the study of ordinary differential equations that are of interest in pure and applied science. Of these four areas, the study of exact solutions ...

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

Important points to remember in Mathematica. If you have used other computer systems before, you will probably notice some similarities and some differences. Often you will ...

Introduction ODE Integration Methods Partial Differential Equations

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...