This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

Ceiling (...)

Updated In 6 Graphic
gives the smallest integer greater than or equal to x.
Ceiling[x, a]
gives the smallest multiple of a greater than or equal to x.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Ceiling[x] returns an integer when x is any numeric quantity, whether or not it is an explicit number.
  • 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.
  • Ceiling applies separately to real and imaginary parts of complex numbers.
  • Ceiling automatically threads over lists.
New in 1 | Last modified in 6