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...

Jan 17, 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 …

Nov 5, 2019 · Solving equations involving the floor function Ask Question Asked 12 years, 8 months ago Modified 1 year, 11 months ago

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

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 …

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 …

] {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, …

Jun 4, 2018 · The most natural way to specify the usual principal branch of the arctangent function basically uses the idea of the floor function anyway, so your formula "for" the floor …