RotationMatrix (Built-in Mathematica Symbol)

RotationMatrix[\[Theta]] gives the 2D rotation matrix that rotates 2D vectors counterclockwise by \[Theta] radians.RotationMatrix[\[Theta], w] gives the 3D rotation matrix ...

Fourier Analysis (Mathematica Guide)

Mathematica provides broad coverage of both numeric and symbolic Fourier analysis, supporting all standard forms of Fourier transforms on data, functions, and sequences, in ...

Basic Modeling (Mathematica Guide)

Mathematica provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. ...

Flatten (Built-in Mathematica Symbol)

Flatten[list] flattens out nested lists. Flatten[list, n] flattens to level n. Flatten[list, n, h] flattens subexpressions with head h. Flatten[list, {{s_11, s_12, ...}, ...

GeoDirection (Built-in Mathematica Symbol)

GeoDirection[{lat_1, long_1}, {lat_2, long_2}] gives the azimuthal direction from one latitude-longitude position on the Earth to another.GeoDirection[pos_1, pos_2] gives the ...

GeoDistance (Built-in Mathematica Symbol)

GeoDistance[{lat_1, long_1}, {lat_2, long_2}] gives the geodesic distance in meters between latitude-longitude positions on the Earth.GeoDistance[pos_1, pos_2] gives the ...

Reverse (Built-in Mathematica Symbol)

Reverse[expr] reverses the order of the elements in expr. Reverse[expr, n] reverses elements at level n in expr.Reverse[expr, {n_1, n_2, ...}] reverses elements at levels ...

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

TranslationTransform (Built-in Mathematica Symbol)

TranslationTransform[v] gives a TransformationFunction that represents translation of points by a vector v.

Indefinite Integrals (Mathematica Tutorial)

The Mathematica function Integrate[f,x] gives you the indefinite integral ∫f dx. You can think of the operation of indefinite integration as being an inverse of ...