Web Reference: In mathematics, the floor function is the function that takes a real number x as input and returns the greatest integer less than or equal to x, written ⌊x⌋ or floor (x). Jul 23, 2025 · The floor function is a mathematical function that returns the greatest integer less than or equal to a given number. In other words, it rounds a real number down to the largest integer less than or equal to the given number. However, it is not so fortunate for researchers who research the number theory, the graph theory and the related subjects because they often have to face the floor function, which frequently occurs in the reasoning but does not have many citable formulas.
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