2017年8月18日 · 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 ...

2013年6月8日 · 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.

2012年1月25日 · 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...

I'm still having trouble figuring the rest out. I understand what you have written so far, but I'm stuck at not knowing what operations I can perform when dealing with the floor function. The only thing I can see is to subtract 2n from both sides to get ⌊2a⌋ = n ⌊ 2 a ⌋ = n

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. OR Floor always rounding towards zero. Ceiling always rounding away from zero. E.g floor (x)=-floor (-x) if x<0, floor (x) otherwise If gravity were reversed, the …

The floor function turns continuous integration problems in to discrete problems, meaning that while you are still "looking for the area under a curve" all of the curves become rectangles.

I'm curious as to how the floor function can be defined using mathematical notation. What I mean by this, is, instead of a word-based explanation (i.e. "The closest integer that is not greater tha...

2019年9月12日 · What is the mathematical notation for rounding a given number to the nearest integer? So like a mix between the floor and the ceiling function.

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?

2014年12月2日 · I'm using a "programming language" that only allows basic operations: addition, subtraction, multiplication, and division. Is it possible to emulate a floor function (i.e. drop the decimals a number) by using only those operators? I'm only interested in positive numbers Edit: This is a mathematics forum so avoid answers that are specific to CSS, especially since it now has a native round ...