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.

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.

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 $\\lce...

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 …

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

Mar 20, 2013 · 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 …

] {floor(3*x)+2}; \end{axis} \end{tikzpicture} \end{document} The sample points are marked. The number of samples is the number of lines plus one for an additional end point: It works only, …

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 …

Sep 29, 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 …

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, …