The floor function is a mathematical function that takes a real number and rounds it down to the nearest integer. For example, the floor of 3.7 is 3, and the floor of -2.3 is -3. It is often denoted as ⌊x⌋, where x is the number being evaluated. This function is useful in various fields, including computer science and engineering, where whole numbers are required. In mathematical notation, the floor function can be expressed as ⌊x⌋ = n, where n is the largest integer less than or equal to x. The floor function is related to the ceiling function, which rounds numbers up to the nearest integer. Both functions are part of the broader study of real numbers and their properties in mathematics.