'Floor' and 'ceiling' functions - TeX - LaTeX Stack Exchange
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...
number theory - how to prove that the ceiling (x) = floor (x) + 1 ...
Mar 30, 2015 · I was just wondering if someone could please explain how one would go about proving that the ceiling (x) = floor (x) + 1 ? I have never been very good with inequalities, and that seems to be the only way of proving this.
Minimum of sums of floor function over unit square
Jul 2, 2025 · Minimum of sums of floor function over unit square Ask Question Asked 1 month ago Modified 1 month ago
How do the floor and ceiling functions work on negative numbers?
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.
How to write ceil and floor in latex? - LaTeX Stack Exchange
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.
numerical methods - How do you mathematically round a number ...
What do you mean by “a more mathematical approach (rather than using a defined floor/ceil function)”? I don't see how having predefined modulo is more mathematical than having predefined floor or ceiling.
How to represent the floor function using mathematical notation?
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, which separates the real and fractional part, making nearby integers instantly identifiable. How about as Fourier series?
$\lfloor (2+\sqrt {3})^n \rfloor - Mathematics Stack Exchange
What do you mean by "integer part"? The floor function, or the first coordinate with respect to the basis $ (1,\sqrt 3)$ of the $\Bbb Z$-module $\Bbb Z [\sqrt3]$?
Adjusting the height of math floor symbol - TeX
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 uppercase letters in the numerator. Why is that the case? How can I produce floor symbols that are always the larger size shown in the picture?
How does summation formula work with floor function?
How does summation formula work with floor function? Ask Question Asked 14 years, 6 months ago Modified 14 years, 6 months ago