GeometricDistribution[p] represents a geometric distribution with probability parameter p.
Simplifying with assumptions. Mathematica does not automatically simplify this, since it is only true for some values of x. Sqrt[x^2] is equal to x for x≥0, but not otherwise.
Length
(Built-in Mathematica Symbol) Length[expr] gives the number of elements in expr.
Accuracy[x] gives the effective number of digits to the right of the decimal point in the number x.
$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number.
Testing and searching for elements of lists. "Getting Pieces of Lists" discusses how to extract pieces of lists based on their positions or indices. Mathematica also has ...
LerchPhi[z, s, a] gives the Lerch transcendent \[CapitalPhi] (z, s, a).
FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...
Mathematica incorporates the latest algorithms—some original to Wolfram Research—for evaluating mathematical constants to any number of digits of precision. For basic ...
RuntimeOptions is an option for Compile that specifies runtime settings for the compiled function it creates.