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. Thus, its …

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).

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.

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] equals the …

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 $$\lfloor x \rfloor$$ is the …

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 defined as the …

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.

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. This …

What Is Greatest Integer Function? A greatest integer function is defined as a function that gives the largest integer less than or equal to a given real number. It is commonly denoted as ⌊x⌋ (read as …

One of the most commonly used step functions is the greatest integer function. The greatest integer function has it’s own notation and tells us to round whatever decimal number it is given down to the …