Sep 12, 2019 · What is the mathematical notation for rounding a given number to the nearest integer? So like a mix between the floor and the ceiling function.

Jun 8, 2013 · Is there a macro in latex to write ceil(x) and floor(x) in short form? The long form \\left \\lceil{x}\\right \\rceil is a bit lengthy to type every time it is used.

Aug 18, 2017 · The floor function takes in a real number x x (like 6.81) and returns the largest integer less than x x (like 6). Such a function is useful when you are dealing with quantities …

Jan 25, 2012 · Is there a convenient way to typeset the floor or ceiling of a number, without needing to separately code the left and right parts? For example, is there some way to do …

The correct answer is it depends how you define floor and ceil. You could define as shown here the more common way with always rounding downward or upward on the number line. OR …

The floor function turns continuous integration problems in to discrete problems, meaning that while you are still "looking for the area under a curve" all of the curves become rectangles.

The floor and ceil functions in a programming language might use a combination of truncation (rounding towards zero) and comparisons to actually achieve their result.

Solving equations involving the floor function Ask Question Asked 12 years, 4 months ago Modified 1 year, 7 months ago

The floor and ceiling functions are very very deep and have very interesting connections to analytic number theory and modular forms. You might be surprised to hear this, but they are …

I think that I have seen it in the "Concrete Mathematics" book by Graham, Knuth and Patashnik.Anyway that notation combines neatly the ceiling and floor function.