Floor and ceiling functions
id:
floor-and-ceiling-functions-179-940482
title:
Floor and ceiling functions
text:
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 maps x to the smallest integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). For example, for floor: ⌊2.4⌋ = 2, ⌊−2.4⌋ = −3, and for ceiling: ⌈2.4⌉ = 3, and ⌈−2.4⌉ = −2. The floor of x is also called the integral part, integer part, greatest integer, or entier of x, and was historic
brand slug:
wiki
category slug:
encyclopedia
description:
Nearest integers from a number
original url:
https://en.wikipedia.org/wiki/Floor_and_ceiling_functions
date created:
2002-05-30T22:59:48Z
date modified:
2024-09-04T22:00:26Z
main entity:
{"identifier":"Q215193","url":"https://www.wikidata.org/entity/Q215193"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/e1/Floor_function.svg","width":1000,"height":1000}
fields total:
13
integrity:
16