Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

Animate (Built-in Mathematica Symbol)

Animate[expr, {u, u_min, u_max}] generates an animation of expr in which u varies continuously from u_min to u_max. Animate[expr, {u, u_min, u_max, du}] takes u to vary in ...

Numerical Examples (Library Link Tutorial)

The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

Apply (Built-in Mathematica Symbol)

Apply[f, expr] or f @@ expr replaces the head of expr by f. Apply[f, expr, {1}] or f @@@ expr replaces heads at level 1 of expr by f.Apply[f, expr, levelspec] replaces heads ...

Map (Built-in Mathematica Symbol)

Map[f, expr] or f /@ expr applies f to each element on the first level in expr. Map[f, expr, levelspec] applies f to parts of expr specified by levelspec.

Refine (Built-in Mathematica Symbol)

Refine[expr, assum] gives the form of expr that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions assum. ...

Rotate (Built-in Mathematica Symbol)

Rotate[g, \[Theta]] represents 2D graphics primitives or any other objects g rotated counterclockwise by \[Theta] radians about the center of their bounding box. Rotate[g, ...

SingularValueList (Built-in Mathematica Symbol)

SingularValueList[m] gives a list of the nonzero singular values of a matrix m. SingularValueList[{m, a}] gives the generalized singular values of m with respect to a. ...

StandardForm (Built-in Mathematica Symbol)

StandardForm[expr] prints as the standard Mathematica two-dimensional representation of expr.

TraditionalForm (Built-in Mathematica Symbol)

TraditionalForm[expr] prints as an approximation to the traditional mathematical notation for expr.