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.

25 Ean 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 $\\ceil{x}$ instead of …

8 Meith 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.

5 MFómh 2013 · What are some real life application of ceiling and floor functions? Googling this shows some trivial applications.

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 provided by …

17 Ean 2017 · A LaTeX-y way to handle this issue would be to define a macro called, say, \floor, using the \DeclarePairedDelimiter device of the mathtools package. With such a setup, you can pass an …

10 Meith 2013 · The PGFmath package includes a ceil and a floor function. The pgfplots offers a few options for Constant Plots (see manual v1.8, subsection 4.4.3, pp. 57ff.). The option jump mark left …

18 Lún 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 on behind …

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 represents the integer …

29 MFómh 2023 · The height of the floor symbol is inconsistent, it is smaller when the fraction contains a lowercase letter in the numerator and larger when the fraction contains numbers or uppercase …