Aug 18, 2017 · I understand what a floor function does, and got a few explanations here, but none of them had a explanation, which is what i'm after. Can someone explain to me what is going …

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.

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.

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 …

It natively accepts fractions such as 1000/333 as input, and scientific notation such as 1.234e2; if you need even more general input involving infix operations, there is the floor function …

Mar 19, 2020 · floor is a built-in function (and you could use int instead). But the question is not too clear to me. Of course, if you use pgf functions, you shouldn't use backslashes, but e.g. …

Mar 20, 2013 · 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?

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 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 …

Jun 10, 2020 · By definition of floor, $\lfloor xy\rfloor$ must be the greatest such integer. Thus, we have $$\lfloor xy\rfloor \ge \lfloor x\rfloor\lfloor y\rfloor,$$ giving us the left inequality.