SmoothHistogram (Built-in Mathematica Symbol)

SmoothHistogram[{x_1, x_2, ...}] plots a smooth kernel histogram of the values x_i.SmoothHistogram[{x_1, x_2, ...}, espec] plots a smooth kernel histogram with estimator ...

StudentTDistribution (Built-in Mathematica Symbol)

StudentTDistribution[\[Nu]] represents a Student t distribution with \[Nu] degrees of freedom.StudentTDistribution[\[Mu], \[Sigma], \[Nu]] represents a Student t distribution ...

ZTransform (Built-in Mathematica Symbol)

ZTransform[expr, n, z] gives the Z transform of expr. ZTransform[expr, {n_1, n_2, ...}, {z_1, z_2, ...}] gives the multidimensional Z transform of expr.

Algebraic Number Fields (Mathematica Tutorial)

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...

Numerical Solution of Boundary Value ... (Mathematica Tutorial)

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...

Advanced Numerical Differential ... (Mathematica Tutorial)

[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...

Introduction (OpenCLLink Tutorial)

OpenCLLink allows you to use the Mathematica language to query OpenCL system information and execute OpenCL programs using Mathematica. In this section, an overview is ...

Numerical Differential Equation ... (Numerical Differential Equation Analysis Package Tutorial)

The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...

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 ...

Parallel Computation (Compiled Function Tools Tutorial)

The Mathematica compiler can run computations in parallel. It does this by threading a compiled function over lists of data in parallel. A first step is to create a compiled ...