Composition and Splitting Methods for ... (Mathematica Tutorial)

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

Constructing Graphs (Combinatorica Package Guide)

DiscreteWaveletPacketTransform (Built-in Mathematica Symbol)

DiscreteWaveletPacketTransform[data] gives the discrete wavelet packet transform (DWPT) of an array of data.DiscreteWaveletPacketTransform[data, wave] gives the discrete ...

BooleanCountingFunction (Built-in Mathematica Symbol)

BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...

New in 8.0: Alphabetical Listing (Mathematica Guide)

ExtentMarkers (Built-in Mathematica Symbol)

ExtentMarkers is an option to DiscretePlot and DiscretePlot3D that specifies markers to draw at extent boundaries.

SparseArray (Built-in Mathematica Symbol)

SparseArray[{pos_1 -> val_1, pos_2 -> val_2, ...}] yields a sparse array in which values val_i appear at positions pos_i. SparseArray[{pos_1, pos_2, ...} -> {val_1, val_2, ...

Numerical Nonlinear Local Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

MatrixExp (Built-in Mathematica Symbol)

MatrixExp[m] gives the matrix exponential of m. MatrixExp[m, v] gives the matrix exponential of m applied to the vector v.

BetaBinomialDistribution (Built-in Mathematica Symbol)

BetaBinomialDistribution[\[Alpha], \[Beta], n] represents a beta binomial mixture distribution with beta distribution parameters \[Alpha] and \[Beta], and n binomial trials.