How Modules Work (Mathematica Tutorial)

The way modules work in Mathematica is basically very simple. Every time any module is used, a new symbol is created to represent each of its local variables. The new symbol ...

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 ...

The C Preprocessor (SymbolicC Tutorial)

SymbolicC has a number of functions for working with the C preprocessor. These allow you to set up including header files, defining macros, as well as setting up conditional ...

STL (Mathematica Import/Export Format)

MIME type: application/sla STL computer-aided design and manufacturing format. 3D geometry format. Commonly used for representing solid models in rapid prototyping systems. ...

FixedPointList (Built-in Mathematica Symbol)

FixedPointList[f, expr] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.

StandardDeviation (Built-in Mathematica Symbol)

StandardDeviation[list] gives the sample standard deviation of the elements in list. StandardDeviation[dist] gives the standard deviation of the symbolic distribution dist.

StringPosition (Built-in Mathematica Symbol)

StringPosition["string", " sub"] gives a list of the starting and ending character positions at which " sub" appears as a substring of " string". StringPosition["string", ...

Basic Internal Architecture (Mathematica Tutorial)

Internal representations used by Mathematica. When you type input into Mathematica, a data structure is created in the memory of your computer to represent the expression you ...

Short and Shallow Output (Mathematica Tutorial)

When you generate a very large output expression in Mathematica, you often do not want to see the whole expression at once. Rather, you would first like to get an idea of the ...

Brent's Method (Mathematica Tutorial)

When searching for a real simple root of a real valued function, it is possible to take advantage of the special geometry of the problem, where the function crosses the axis ...