GPX (Mathematica Import/Export Format)

GPX global positioning data. Standard format for exchanging GPS location data. Stores GIS data recorded with GPS devices. GPX is an acronym for GPS Exchange Format. XML ...

Rigid Body Solvers (Mathematica Tutorial)

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

Nearest (Built-in Mathematica Symbol)

Nearest[{elem_1, elem_2, ...}, x] gives the list of elem_i to which x is nearest. Nearest[{elem_1 -> v_1, elem_2 -> v_2, ...}, x] gives the v_i corresponding to the elem_i to ...

Statistical Model Analysis (Mathematica Tutorial)

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

Fourier (Built-in Mathematica Symbol)

Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

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 ...

EffectiveInterest (Built-in Mathematica Symbol)

EffectiveInterest[r, q] gives the effective interest rate corresponding to interest specification r, compounded at time intervals q.

RiccatiSolve (Built-in Mathematica Symbol)

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

InverseFourier (Built-in Mathematica Symbol)

InverseFourier[list] finds the discrete inverse Fourier transform of a list of complex numbers.

DirichletCharacter (Built-in Mathematica Symbol)

DirichletCharacter[k, j, n] gives the Dirichlet character \[Chi] {k, j} (n) with modulus k and index j.