Internal representations used by Mathematica. When you type input into Mathematica, a data structure is created in the memory of your computer to represent the expression you ...

ForAll[x, expr] represents the statement that expr is True for all values of x. ForAll[x, cond, expr] states that expr is True for all x satisfying the condition cond. ...

GegenbauerC[n, m, x] gives the Gegenbauer polynomial C_n^(m)(x). GegenbauerC[n, x] gives the renormalized form lim_(m->0) C_n^(m)(x)/m.

FactorInteger[n] gives a list of the prime factors of the integer n, together with their exponents. FactorInteger[n, k] does partial factorization, pulling out at most k ...

WalleniusHypergeometricDistribution[n, n_succ, n_tot, w] represents a Wallenius noncentral hypergeometric distribution.

Mathematica's symbolic string patterns provide a compact yet readable basis for sophisticated string operations. Included directly in programs, or symbolically generated on ...

GaussianMatrix[r] gives a matrix that corresponds to a Gaussian kernel of radius r. GaussianMatrix[{r, \[Sigma]}] gives a matrix corresponding to a Gaussian kernel with ...

Mathematica gives convenient machine-independent programmatic access to a broad range of information about your computer system.

File system directory hierarchy. Can contain files and subdirectories.

Raw raster image data. Used as an intermediate format by imaging devices. Stores images as RGB or grayscale bitmaps at a resolution of 8 bits per channel. Binary format. Does ...