Diophantine Polynomial Systems (Mathematica Tutorial)

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

NIntegrate Integration Rules (Mathematica Tutorial)

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Numerical Examples (Library Link Tutorial)

The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

Examples (C Code Generator Tutorial)

The C code generator can be used to create standalone executables that link to the Wolfram runtime library. This example creates a standalone C executable for a low-pass ...

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

MinimumBandwidthOrdering (Graph Utilities Package Symbol)

MinimumBandwidthOrdering[g] attempts to find a vertex ordering that minimizes the bandwidth of the undirected graph g.MinimumBandwidthOrdering[m] attempts to find row and ...

DiscreteRiccatiSolve (Built-in Mathematica Symbol)

DiscreteRiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the discrete algebraic Riccati equation ConjugateTranspose[a].x.a - x - ...

EllipticE (Built-in Mathematica Symbol)

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).

FindIntegerNullVector (Built-in Mathematica Symbol)

FindIntegerNullVector[{x_1, x_2, ..., x_n}] finds a list of integers a_i such that a_1 x_1 + a_2 x_2 + \[CenterEllipsis] + a_n x_n == 0. FindIntegerNullVector[{x_1, x_2, ..., ...

KalmanEstimator (Built-in Mathematica Symbol)

KalmanEstimator[ss, {w, v}] constructs the Kalman estimator for the StateSpaceModel object ss with process and measurement noise covariance matrices w and v. ...