IDA Method for NDSolve (Mathematica Tutorial)

The IDA package is part of the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) developed at the Center for Applied Scientific Computing of Lawrence ...

Application Structure (TetGenLink Tutorial)

TetGenLink is a Mathematica application that makes the functions of TetGen available to Mathematica. This is done with Wolfram LibraryLink, which allows TetGen to be used in ...

Matrix Inversion (Mathematica Tutorial)

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

CholeskyDecomposition (Built-in Mathematica Symbol)

CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.

RegionPlot3D (Built-in Mathematica Symbol)

RegionPlot3D[pred, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] makes a plot showing the three-dimensional region in which pred is True.

Character Codes (Mathematica Tutorial)

Converting to and from character codes. Mathematica assigns every character that can appear in a string a unique character code. This code is used internally as a way to ...

The Representation of Derivatives (Mathematica Tutorial)

Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

RegionPlot (Built-in Mathematica Symbol)

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

ProbabilityDistribution (Built-in Mathematica Symbol)

ProbabilityDistribution[pdf, {x, x_min, x_max}] represents the continuous distribution with PDF pdf in the variable x where the pdf is taken to be zero for x < x_min and x > ...

Image (Built-in Mathematica Symbol)

Image[data] represents a raster image with pixel values given by the array data.Image[graphics] creates a raster image from a graphics object. Image[obj, options] gives an ...