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 …

Jul 23, 2025 · The graph of a ceiling function is a step graph or a broken graph in which the plotted lines are parallel to the X-axis. On the graph, a line represents the range of inputs and …

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 …

Dec 22, 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 …

The ceiling function (also known as the least integer function) of a real number x, x, denoted ⌈ x ⌉, ⌈x⌉, is defined as the smallest integer that is not smaller than x x.

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.