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. ...

Limit (Built-in Mathematica Symbol)

Limit[expr, x -> x_0] finds the limiting value of expr when x approaches x_0.

GoldenRatio (Built-in Mathematica Symbol)

GoldenRatio is the golden ratio \[Phi] = 1/2 (Sqrt[5] + 1), with numerical value \[TildeEqual] 1.61803.

Piecewise (Built-in Mathematica Symbol)

Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

NumericFunction (Built-in Mathematica Symbol)

NumericFunction is an attribute that can be assigned to a symbol f to indicate that f[arg_1, arg_2, ...] should be considered a numeric quantity whenever all the arg_i are ...

DiscreteShift (Built-in Mathematica Symbol)

DiscreteShift[f, i] gives the discrete shift DiscreteShift[f(i), i] == f(i + 1). DiscreteShift[f, {i, n}] gives the multiple shift \[DiscreteShift]_i^n\ f.DiscreteShift[f, ...

ContinuedFraction (Built-in Mathematica Symbol)

ContinuedFraction[x, n] generates a list of the first n terms in the continued fraction representation of x. ContinuedFraction[x] generates a list of all terms that can be ...

PiecewiseExpand (Built-in Mathematica Symbol)

PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. PiecewiseExpand[expr, assum] expands piecewise functions using ...

ImageTransformation (Built-in Mathematica Symbol)

ImageTransformation[image, function] gives an image in which each pixel at position {x, y} corresponds to the position function[{x, y}] in image.ImageTransformation[image, ...

Play (Built-in Mathematica Symbol)

Play[f, {t, t_min, t_max}] creates an object that plays as a sound whose amplitude is given by f as a function of time t in seconds between t_min and t_max.