Interesting observation It's because an inequation f(x,y)=g(x,y) only renders the boundary. A boundary exists when/where there's a sign flip or when there's a change from the function being defined to undefined. Desmos expects the result of an inequation to be in the form of a line/curve and not a region that's to be shaded (which is true in most cases so it works pretty well). So that is why it sometimes messes it up when the actual output of f(x,y)=g(x,y) should be a region and not just a line/curve because desmos only renders the boundary instead. For such cases, to truly show the entire region (and not just the boundary) when f=g, there's a workaround: 0<{f(x,y)=g(x,y)} https://www.desmos.com/calculator/l63udqxalx I came across such things multiple times and was very confused by it. Have added an extra example in the graph of when it happened to me. I hope that explains it. Answer from MathEnthusiast314 on reddit.com
Reddit
reddit.com › r/desmos › what's up the ceil() ?
r/desmos on Reddit: what's up the ceil() ?
January 17, 2022 -
What's up with the ceiling function ceil() ?
ceil(y) = ceil(x)
ceil(x) = ceil(y)
yield different graphs.
I know it's not "equality"... but I need a little clarification on what is happening.
https://www.desmos.com/calculator/oksyuezeb7
Top answer 1 of 4
5
Interesting observation It's because an inequation f(x,y)=g(x,y) only renders the boundary. A boundary exists when/where there's a sign flip or when there's a change from the function being defined to undefined. Desmos expects the result of an inequation to be in the form of a line/curve and not a region that's to be shaded (which is true in most cases so it works pretty well). So that is why it sometimes messes it up when the actual output of f(x,y)=g(x,y) should be a region and not just a line/curve because desmos only renders the boundary instead. For such cases, to truly show the entire region (and not just the boundary) when f=g, there's a workaround: 0<{f(x,y)=g(x,y)} https://www.desmos.com/calculator/l63udqxalx I came across such things multiple times and was very confused by it. Have added an extra example in the graph of when it happened to me. I hope that explains it.
2 of 4
5
So the graph of ceil(x)=ceil(y) isn't actually a line/curve but a region, the one bounded by those two different curves you got. When Desmos is given an equation it tries to find the line or boundary where it's true, it doesn't even attempt to find a region like when you write an inequality. This is just a result of a choice by the programmes. You can see the area is you transform the equation into an inequality (with some room for numerical error): https://www.desmos.com/calculator/fecbgvq0ag
Desmos
desmos.com › calculator › uoe1rxcehf
Flooring and Ceiling Functions | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Videos
Desmos
desmos.com › calculator › unvuowump7
Floor (Greatest Integer) and Ceiling Functions | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
YouTube
youtube.com › watch
DESMOS Graphing Calculator - Graphing a Ceiling Function - YouTube
Please subscribe! https://www.youtube.com/channel/UCHKKyP6ezVQq5KunZVa-Mlg?sub_confirmation=1 Let’s use DESMOS to find graph a ceiling function on a coordina...
Published December 4, 2022
Desmos
cl.desmos.com › questions
Ceiling/Floor • Activity Builder by Desmos - Questions - Computation Layer Support Forum
January 6, 2021 - Hi everyone! I found this activity online and copied its first slide here. I am trying to edit the slide so that it shows Stage 0 (instead of Stage 1) when there is only one circle, then Stage 1 will be when there are 3 circles. It seems like its being controlled by a floor function built into a time variable.
Reddit
reddit.com › r/desmos › continuous approximations of the floor and ceiling functions
r/desmos on Reddit: Continuous approximations of the Floor and Ceiling functions
January 3, 2024 -
Inspired by the "absolute value of x without using absolute value" I thought I'd try to do the floor and ceiling function. Not an exact solution but it was fun!
Desmos
desmos.com › calculator › zhzbjvzjnt
Ceiling Function | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Math Vault
mathvault.ca › home › algebra › desmos: a definitive guide on graphing and computing
Desmos: A Definitive Guide on Graphing and Computing | Math Vault
August 5, 2022 - As for the factorial, we’ve got ... for you: Desmos can calculate the factorial of a number up to $170!$, which is easily more than double of what can be achieved using a TI-83 — or any of its variants for that matter! Actually, we are not quite done with the computational commands yet. Here’s five more interesting unary operations — for your pleasure: ceil(): The ceiling function...
Desmos Help Center
help.desmos.com › hc › en-us › articles › 212235786-Supported-Functions
Supported Functions – Desmos Help Center
Below you will find the list of functions supported in the 3D calculator.
Desmos
desmos.com › calculator › vqv5t0rz0d
STEP Functions 101: Ceiling Function | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Desmos
desmos.com › calculator › xxy7zmo8r7
Ceiling and Floor Step Functions | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Reddit
reddit.com › r/desmos › how to calculate ceiling and floor function lol
r/desmos on Reddit: How to calculate Ceiling and Floor function lol
March 31, 2024 - My collection of ~150 functions. ... A subreddit dedicated to sharing graphs created using the Desmos graphing calculator. Feel free to post demonstrations of interesting mathematical phenomena, questions about what is happening in a graph, or just cool things you've found while playing with the calculator. Reply to people with commands! For example, "!fp" explains what floating point arithmetic is.
TikTok
tiktok.com › mathematics proofs (@mathematics.proofs) | tiktok › how to create the elevator on desmos, using the floor and ceiling functions. follow for more tutorials! #desmos #mathtricks #mathtutorials #math #mathematics #graphing
DESMOS Graphing Calculator - Graphing a Ceiling Function
December 4, 2022 - TikTok video from Mathematics Proofs (@mathematics.proofs): “How to create the elevator on Desmos, using the floor and ceiling functions. Follow for more tutorials! #desmos #mathtricks #mathtutorials #math #mathematics #graphing”. SLEEPIN! - nobigdyl..
Stack Exchange
math.stackexchange.com › questions › 4686254 › a-possible-function-for-the-floor-function-ceiling-function-and-rounding-funct
summation - A possible function for the floor function, ceiling function, and rounding function - Mathematics Stack Exchange
April 25, 2023 - The same should be said for the ceiling function, except it gives the higher integer it is closest to. I would like to know your opinion on this, and other functions for this purpose that have been created. I would also be interested in knowing if there is any way to make this more efficient. I would also like to link the desmos graph I used to play around with it, so you can also check it out.
Desmos
desmos.com › calculator › ujhn1dchir
Variable Ceilings and Floors | Desmos
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Reddit
reddit.com › r/desmos › approximate circle using floor and ceiling functions
r/desmos on Reddit: Approximate Circle Using Floor and Ceiling Functions
May 24, 2025 -
Is it possible to use floor and ceiling functions to create a step function-like boundary around a circle (as shown in the image)?
I made an attempt by defining pieces of floor and ceiling functions around the circle parametrically:
Working Example | Desmos.
Reddit
reddit.com › r/desmos › desmos ceiling
r/desmos on Reddit: Desmos ceiling
February 25, 2022 - Manually entering the numbers into x azis and y axis doesnt work either. Im sure tho yall could have special ways to go up there. Here's what I was able to do, reach 10304: https://www.desmos.com/calculator/tvhdsr0zm6 Share
Top answer 1 of 2
2
It is an error (see my comment). You can graph
$$\lfloor x\rfloor=\lfloor y\rfloor$$
on Desmos.com by looking at the complement of
$$\{ (x,y) | \lfloor x\rfloor<\lfloor y\rfloor \} \cup \{ (x,y) | \lfloor x\rfloor>\lfloor y\rfloor \}$$
The Unshaded region below is the graph of your equation.
Alternatively, taking the complement of
$$\left|\lfloor x\rfloor-\lfloor y\rfloor\right|>0$$
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It is not difficult to show that $\lfloor x\rfloor=\lfloor y\rfloor$ if and only if $(x-\lfloor y\rfloor)(y-\lfloor x\rfloor)\ge0$.
Try graphing in Desmos
$$ (x-\lfloor y\rfloor)(y- \lfloor x\rfloor)\ge0$$
Desmos does not show it accurately on the boundaries, however.
It is also the case that $\lfloor y\rfloor=\lfloor x\rfloor$ if and only if $\vert \lfloor y\rfloor-\lfloor x\rfloor \vert <1$, but Desmos errs once again on the boundary.
Reddit
reddit.com › r/desmos › how do you type y=[[x]] in desmos?
r/desmos on Reddit: how do you type y=[[x]] in desmos?
August 24, 2020 -
i am looking to graph the integer-only line, but whenever i try to type [[]], it tells me that you cannot store a list of numbers in a list.
Top answer 1 of 5
14
Since the notation for lists in Desmos is [...], it thinks you’re trying to put a list in a list. If you want to preserve the integer of a number, such as [[2.5]]=2, use the floor function, which is just floor(x). Similarly, there is ceil(x) which rounds up and round(x) which rounds to the neeest integer. Hope this helps!
2 of 5
3
the function you might be looking for: https://www.desmos.com/calculator/qgerrhcjki
Brainly
brainly.com › computers and technology › high school › does this calculator support the ceil function in desmos?
[FREE] Does this calculator support the ceil function in Desmos? - brainly.com
February 15, 2024 - Here’s how to simulate the behavior ... smallest integer that is greater than or equal to the number x. For example, ⌈3.2⌉=4 and ⌈−1.5⌉=−1....