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...
18 There are some threads here, in which it is explained how to use \lceil \rceil \lfloor \rfloor. But generally, in math, there is a sign that looks like a combination of ceil and floor, which means round, aka nearest integer. Is there a way to draw this sign in Latex's math mode?
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.
When floor a number, you can think of it as replacing the Mantissa with $0$ $$\lfloor 2.31 \rfloor = 2 + 0 = 2$$ and ceil can be thought of as replacing the mantissa with $1$. $$\lceil 2.31 \rceil = 2 + 1 = 3$$ That's not a very popular way of thinking about it but it was the way I thought about it when I first started using it in programming.
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?
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 package xintexpr.
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 scenes ...
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 part of the argument obtained by suppressing the fractional part.
