The greatest integer function of a number is the greatest integer less than or equal to the number. i.e., the input of the function can be any real number whereas its output is always an integer. …

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 11, 2025 · The greatest Integer Function [X] indicates an integral part of the real number x x which is the nearest and smaller integer to x x . It is also known as the floor of X.

What Is the Greatest Integer Function? Quick Overview The Greatest Integer Function is also known as the Floor Function. It is written as $$f (x) = \lfloor x \rfloor$$. The value of $$\lfloor x …

Aug 3, 2023 · What is the greatest integer function explained with symbol, examples, and diagram. Learn how to graph it with its domain and range.

The greatest integer function, also called step function, is a piecewise function whose graph looks like the steps of a staircase. The greatest integer function is denoted by f (x) = [x] and is …

Oct 18, 2025 · In mathematics, the greatest integer function rounds a given number down to the nearest integer less than or equal to it. In this article, we will learn about the greatest integer …

Nov 27, 2025 · For any real number x, the greatest integer function (floor function) is written as: [x] or ⌊x⌋, and is defined by [x] = the unique integer n such that n ≤ x <n + 1. In other words, [x] …

Dec 22, 2025 · The floor function |_x_|, also called the greatest integer function or integer value (Spanier and Oldham 1987), gives the largest integer less than or equal to x. The name and …

What is the Greatest Integer Function? The greatest integer function is denoted by ⌊x⌋, for any real function. The function rounds – off the real number down to the integer less than the number. …