$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number.

Timing[expr] evaluates expr, and returns a list of the time in seconds used, together with the result obtained.

Mathematica provides an extensive, straightforward set of tools to control the appearance of your charts. Whether you are creating chart legends with the symbolic wrapper ...

Functions like Factor usually assume that all coefficients in the polynomials they produce must involve only rational numbers. But by setting the option Extension you can ...

StringTake["string", n] gives a string containing the first n characters in " string". StringTake["string", -n] gives the last n characters in " string". StringTake["string", ...

BellY[n, k, {x_1, ..., x n - k + 1}] gives the partial Bell polynomial Y n, k (x_1, ..., x n - k + 1). BellY[n, k, m] gives the generalized partial Bell polynomial of a ...

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

BetaNegativeBinomialDistribution[\[Alpha], \[Beta], n] represents a beta negative binomial mixture distribution with beta distribution parameters \[Alpha] and \[Beta], and n ...

patt /; test is a pattern which matches only if the evaluation of test yields True. lhs :> rhs /; test represents a rule which applies only if the evaluation of test yields ...

Offset[{dx, dy}, position] gives the position of a graphical object obtained by starting at the specified position and then moving by absolute offset {dx, dy}.