SingularValueDecomposition (Built-in Mathematica Symbol)

SingularValueDecomposition[m] gives the singular value decomposition for a numerical matrix m as a list of matrices {u, w, v}, where w is a diagonal matrix and m can be ...

Histogram (Built-in Mathematica Symbol)

Histogram[{x_1, x_2, ...}] plots a histogram of the values x_i.Histogram[{x_1, x_2, ...}, bspec] plots a histogram with bin width specification bspec.Histogram[{x_1, x_2, ...

Probability (Built-in Mathematica Symbol)

Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...

MaxValue (Built-in Mathematica Symbol)

MaxValue[f, x] gives the maximum value of f with respect to x.MaxValue[f, {x, y, ...}] gives the maximum value of f with respect to x, y, .... MaxValue[{f, cons}, {x, y, ...

Nonlinear Conjugate Gradient Methods (Mathematica Tutorial)

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...

Trust Region Methods (Mathematica Tutorial)

A trust region method has a region around the current search point, where the quadratic model for "local minimization" is "trusted" to be correct and steps are chosen to stay ...

Histogram3D (Built-in Mathematica Symbol)

Histogram3D[{{x_1, y_1}, {x_2, y_2}, ...}] plots a 3D histogram of the values {x_i, y_i}.Histogram3D[{{x_1, y_1}, {x_2, y_2}, ...}, bspec] plots a 3D histogram with bins ...

NIntegrate (Built-in Mathematica Symbol)

NIntegrate[f, {x, x_min, x_max}] gives a numerical approximation to the integral \[Integral]_x_min^x_max\ f\ d \ x. NIntegrate[f, {x, x_min, x_max}, {y, y_min, y_max}, ...] ...

PairedHistogram (Built-in Mathematica Symbol)

PairedHistogram[{x_1, x_2, ...}, {y_1, y_2, ...}] plots a paired histogram of the values x_i and y_i.PairedHistogram[{x_1, x_2, ...}, {y_1, y_2, ...}, bspec] plots a paired ...

StepMonitor (Built-in Mathematica Symbol)

StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used.