Norms in NDSolve (Mathematica Tutorial)

NDSolve uses norms of error estimates to determine when solutions satisfy error tolerances. In nearly all cases the norm has been weighted, or scaled, such that it is less ...

Non-Standard Evaluation (Mathematica Tutorial)

While most built-in Mathematica functions follow the standard evaluation procedure, some important ones do not. For example, most of the Mathematica functions associated with ...

Putting Expressions into Different Forms (Mathematica Tutorial)

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

Symbolic Evaluation (Mathematica Tutorial)

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

Solving Equations (Mathematica Tutorial)

An expression like x^2+2x-7==0 represents an equation in Mathematica. You will often need to solve equations like this, to find out for what values of x they are true. This ...

VTK (Mathematica Import/Export Format)

Visualization Toolkit format. Used for storage of 3D models. Native format of the open-source Visualization Toolkit software. ASCII or binary format. VTK is an acronym ...

CompilationOptions (Built-in Mathematica Symbol)

CompilationOptions is an option for Compile that specifies settings for the compilation process.

DatePlus (Built-in Mathematica Symbol)

DatePlus[date, n] gives the date n days after date.DatePlus[date, {n, " unit"}] gives the date n units after date.DatePlus[date, {{n_1, "unit_1"}, {n_2, "unit_2"}, ...}] ...

Filling (Built-in Mathematica Symbol)

Filling is an option for ListPlot, Plot, Plot3D, and related functions that specifies what filling to add under points, curves, and surfaces.

Radon (Built-in Mathematica Symbol)

Radon[image] gives an image representing the discrete Radon transform of image.Radon[image, {w, h}] specifies the width w and the height h of the resulting image.Radon[image, ...