$SyntaxHandler (Built-in Mathematica Symbol)

$SyntaxHandler is a global variable which, if set, is applied to any input string that is found to contain a syntax error.

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 ...

Minimization and Maximization (Mathematica Tutorial)

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

GeneralMiniMaxApproximation (Function Approximations Package Symbol)

GeneralMiniMaxApproximation[{f_x, f_y}, {t, {t_0, t_1}, m, n}, x] finds the rational polynomial function of x, with numerator order m and denominator order n, that gives a ...

SDTS (Mathematica Import/Export Format)

SDTS GIS format. Geographic information standard used by the U.S. Geological Survey. Used for archiving and exchanging maps and map data. SDTS is an acronym for Spatial Data ...

ArcTan (Built-in Mathematica Symbol)

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

Sound (Built-in Mathematica Symbol)

Sound[primitives] represents a sound. Sound[primitives, t] specifies that the sound should have duration t.Sound[primitives, {t_min, t_max}] specifies that the sound should ...

Calling Subsidiary Mathematica Processes (Mathematica Tutorial)

Connecting to a subsidiary program via MathLink. This starts a subsidiary Mathematica process on the computer system used here. Here is a packet representing the first input ...

Nonlinear Second-Order ODEs (Mathematica Tutorial)

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

Manipulating Notebooks from the Kernel (Mathematica Tutorial)

If you want to do simple operations on Mathematica notebooks, then you will usually find it convenient just to use the interactive capabilities of the standard Mathematica ...