WaveletExplorer (Mathematica Compatibility Information)

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

ProbabilityDistribution (Built-in Mathematica Symbol)

ProbabilityDistribution[pdf, {x, x_min, x_max}] represents the continuous distribution with PDF pdf in the variable x where the pdf is taken to be zero for x < x_min and x > ...

Extrapolation Method for NDSolve (Mathematica Tutorial)

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

Blend (Built-in Mathematica Symbol)

Blend[{col_1, col_2}, x] gives a color obtained by blending a fraction 1 - x of color col_1 and x of color col_2.Blend[{col_1, col_2, col_3, ...}, x] linearly interpolates ...

Convolve (Built-in Mathematica Symbol)

Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g.Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...

LyapunovSolve (Built-in Mathematica Symbol)

LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...

RankedMax (Built-in Mathematica Symbol)

RankedMax[list, n] gives the n\[Null]^th largest element in list.

RankedMin (Built-in Mathematica Symbol)

RankedMin[list, n] gives the n\[Null]^th smallest element in list.

PDF (Built-in Mathematica Symbol)

PDF[dist, x] gives the probability density function for the symbolic distribution dist evaluated at x.PDF[dist, {x_1, x_2, ...}] gives the multivariate probability density ...

CarmichaelLambda (Built-in Mathematica Symbol)

CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.