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.

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 …

Solving equations involving the floor function Ask Question Asked 12 years, 3 months ago Modified 1 year, 6 months ago

The floor function (also known as the entier function) is defined as having its value the largest integer which does not exceed its argument. When applied to any positive argument it …

4 I suspect that this question can be better articulated as: how can we compute the floor of a given number using real number field operations, rather than by exploiting the printed notation, …

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.

Jan 17, 2017 · When I write \\lfloor\\dfrac{1}{2}\\rfloor the floors come out too short to cover the fraction. How can I lengthen the floor symbols?