Linear Systems of ODEs (Mathematica Tutorial)

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

Input Syntax (Mathematica Tutorial)

Typical ways to enter characters. All printable ASCII characters can be entered directly. Those that are not alphanumeric are assigned explicit names in Mathematica, allowing ...

Summary of New Features in 6.0 (Mathematica Guide)

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...

HistogramDistribution (Built-in Mathematica Symbol)

HistogramDistribution[{x_1, x_2, ...}] represents the probability distribution corresponding to a histogram of the data values x_i.HistogramDistribution[{{x_1, y_1, ...}, ...

RegionPlot3D (Built-in Mathematica Symbol)

RegionPlot3D[pred, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] makes a plot showing the three-dimensional region in which pred is True.

Data Formats in Wolfram|Alpha (Mathematica Tutorial)

In addition to its graphical results, Wolfram|Alpha can provide alternative representations that contain additional information or are well suited to particular tasks. These ...

Introduction (Compiled Function Tools Tutorial)

The Mathematica compiler provides an important way both to speed up and also to work with Mathematica computations. It does this by taking assumptions about the computations ...

PoissonDistribution (Built-in Mathematica Symbol)

PoissonDistribution[\[Mu]] represents a Poisson distribution with mean \[Mu].

StateResponse (Built-in Mathematica Symbol)

StateResponse[ss, u, t] gives the state response of the StateSpaceModel object ss to the input u as a function of time t.StateResponse[ss, u, {t, t_min, t_max}] gives the ...

NDSolve Method Plugin Framework (Mathematica Tutorial)

The control mechanisms set up for NDSolve enable you to define your own numerical integration algorithms and use them as specifications for the Method option of NDSolve. ...