MIDI (Mathematica Import/Export Format)

MIME type: audio/midi Standard MIDI file format. Audio format. Used for controlling electronic musical instruments, computer sound cards, and sequencers. Stores a sequence of ...

Linear Second-Order ODEs with Rational ... (Mathematica Tutorial)

The hypergeometric functions play a unifying role in mathematical analysis since many important functions, such as the Bessel functions and Legendre functions, are special ...

SpringEmbedding (Combinatorica Package Symbol)

SpringEmbedding[g] beautifies the embedding of graph g by modeling the embedding as a system of springs. SpringEmbedding[g, step, increment] can be used to refine the ...

PlotFlag (Function Approximations Package Symbol)

PlotFlag is an option to MiniMaxApproximation and GeneralMiniMaxApproximation that specifies whether plots of the relative error of successive iterates in the approximation ...

StationaryWaveletTransform (Built-in Mathematica Symbol)

StationaryWaveletTransform[data] gives the stationary wavelet transform (SWT) of an array of data.StationaryWaveletTransform[data, wave] gives the stationary wavelet ...

WatershedComponents (Built-in Mathematica Symbol)

WatershedComponents[image] computes the watershed transform of image, returning the result as a matrix in which positive integers label the catchment ...

SymplecticPartitionedRungeKutta Method ... (Mathematica Tutorial)

When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

Principal Axis Method (Mathematica Tutorial)

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

ConstructTableau (Combinatorica Package Symbol)

ConstructTableau[p] performs the bumping algorithm repeatedly on each element of permutation p, resulting in a distinct Young tableau.

ImageRotate (Built-in Mathematica Symbol)

ImageRotate[image] rotates image counterclockwise by 90\[Degree].ImageRotate[image, side] rotates image to make the top of the image be on the specified ...