In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor (x). Similarly, the ceiling function …

Jul 23, 2025 · The Ceiling Function is a mathematical function that returns the smallest integer greater than or equal to a given number. It is denoted as ⌈x⌉ or ceil (x).

The floor and ceiling functions give us the nearest integer up or down. The Floor of 2.31 is 2 The Ceiling of 2.31 is 3.

The floor function gives an integer number value which is a numeric value lesser than the value of the function, and a ceiling function gives an integer number value which is a numeric value greater than …

Dec 3, 2025 · The name and symbol for the ceiling function were coined by K. E. Iverson (Graham et al. 1994). The ceiling function is implemented in the Wolfram Language as Ceiling [z], where it is …

As with floor functions, the best strategy with integrals or sums involving the ceiling function is to break up the interval of integration (or summation) into pieces on which the ceiling function is constant.

In computer science, a ceiling function takes one numerical argument and returns the smallest integer that is greater than or equal to the argument’s numeric value.

For an integer, the ceiling function is equal to the floor function. For any other number, the ceiling function is the floor function plus one.

Ceiling function is a function in which the smallest successive integer is returned. In other words, the ceiling function of a real number x is the least integer that is greater than or equal to the given …

In mathematics, the ceiling function, denoted as f (x) = ⌈x⌉, is a function that takes a real number 'x' as input and gives the smallest integer that is greater than or equal to 'x'.