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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Numerical Functions  /
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.