ceiling
The ceiling of a real number is the smallest integer greater than or equal to the number. The ceiling of is usually denoted by .
Some examples:, , , , , .
Note that this function is not the integer part (), since and .
The notation for floor and ceiling was introduced by Iverson in 1962[1].
References
- 1 N. Higham, Handbook of writing for the mathematical sciences, Society for Industrial and Applied Mathematics, 1998.