Eigenvalues and Eigenvectors (Mathematica Tutorial)

Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...

Solving Recurrence Equations (Mathematica Tutorial)

If you represent the n^th term in a sequence as a[n], you can use a recurrence equation to specify how it is related to other terms in the sequence. RSolve takes recurrence ...

FourierSeries` (Mathematica Compatibility Information)

FourierSeries, FourierTrigSeries, and FourierCoefficient are part of the Mathematica kernel. FourierSinCoefficient and FourierCosCoefficient are now in the built-in ...

BetaDistribution (Built-in Mathematica Symbol)

BetaDistribution[\[Alpha], \[Beta]] represents a continuous beta distribution with shape parameters \[Alpha] and \[Beta].

BrownForsytheTest (Built-in Mathematica Symbol)

BrownForsytheTest[data] tests whether the variance of data is 1. BrownForsytheTest[{data_1, data_2}] tests whether the variances of data_1 and data_2 are ...

ChiSquareDistribution (Built-in Mathematica Symbol)

ChiSquareDistribution[\[Nu]] represents a \[Chi]^2 distribution with \[Nu] degrees of freedom.

ColorData (Built-in Mathematica Symbol)

ColorData["scheme"] gives a function that generates colors in the named color scheme when applied to parameter values. ColorData["scheme", " property"] gives the specified ...

GeometricDistribution (Built-in Mathematica Symbol)

GeometricDistribution[p] represents a geometric distribution with probability parameter p.

OutputResponse (Built-in Mathematica Symbol)

OutputResponse[sys, u, t] gives the output response of a TransferFunctionModel or StateSpaceModel object sys to the input u as a function of time t.OutputResponse[sys, u, {t, ...

Numerical Solution of Differential ... (Mathematica Tutorial)

The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...