Converting power series to normal expressions. Power series in Mathematica are represented in a special internal form, which keeps track of such attributes as their expansion ...

Catch[expr] returns the argument of the first Throw generated in the evaluation of expr. Catch[expr, form] returns value from the first Throw[value, tag] for which form ...

StationaryWaveletTransform[data] gives the stationary wavelet transform (SWT) of an array of data.StationaryWaveletTransform[data, wave] gives the stationary wavelet ...

Throw[value] stops evaluation and returns value as the value of the nearest enclosing Catch. Throw[value, tag] is caught only by Catch[expr, form] where form is a pattern ...

VertexNormals is an option for graphics primitives which specifies the normal directions to assign to 3D vertices.

When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...

SeriesCoefficient[series, n] finds the coefficient of the n\[Null]\[Null]^th-order term in a power series in the form generated by Series. SeriesCoefficient[f, {x, x_0, n}] ...

FractionalPart[x] gives the fractional part of x.

Here is one way to get multiple minima: call NMinimize multiple times with different random seeds, which will cause different optimization paths to be taken. This defines a ...

ColorRules is an option for ArrayPlot which specifies how colors of cells should be determined from values.