Ceiling

Ceiling[x] gives the smallest integer greater than or equal to x.

Mathematical function (see Section A.3.10).

Examples: Ceiling[2.4] ; Ceiling[2.6] ; Ceiling[-2.4] ; Ceiling[-2.6] .

Ceiling[x] can be entered in StandardForm and InputForm as x , lc x rc or \[LeftCeiling] x \[RightCeiling].

Ceiling[x] returns an integer when x is any numeric quantity, whether or not it is an explicit number.

Example: Ceiling[Pi^2] .

For exact numeric quantities, Ceiling internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.

See The Mathematica Book: Section 3.2.2.



See also: Floor, IntegerPart, Round, Chop.