Ceiling

Usage

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

Notes

• 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

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 Section 3.2.2.

• Implementation notes: see Section A.9.4.

• See also: Floor, IntegerPart, Round, Chop.

• New in Version 1; modified in 3.