ImageFilter[f, image, r] applies the function f to the range r neighborhood of each pixel in each channel of image.

StringReplacePart["string", " snew", {m, n}] replaces the characters at positions m through n in " string" by " snew". StringReplacePart["string", " snew", {{m_1, n_1}, {m_2, ...

Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting ...

ToContinuousTimeModel[sys] gives the continuous-time approximation of the discrete-time TransferFunctionModel or StateSpaceModel object sys.ToContinuousTimeModel[tf, s] gives ...

Converting to and from character codes. Mathematica assigns every character that can appear in a string a unique character code. This code is used internally as a way to ...

Listable is an attribute that can be assigned to a symbol f to indicate that the function f should automatically be threaded over lists that appear as its arguments.

QRDecomposition[m] yields the QR decomposition for a numerical matrix m. The result is a list {q, r}, where q is an orthogonal matrix and r is an upper-triangular matrix.

Gather[list] gathers the elements of list into sublists of identical elements.Gather[list, test] applies test to pairs of elements to determine if they should be considered ...

LengthWhile[list, crit] gives the number of continuous elements e_i starting at the beginning of list for which crit[e_i] is True.

SplitBy[list, f] splits list into sublists consisting of runs of successive elements that give the same value when f is applied.SplitBy[list, {f_1, f_2, ...}] recursively ...