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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/list]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
Mar 2, 2025
0 replies
k i A Letter to MSM
Arr0w   23
N Sep 19, 2022 by scannose
Greetings.

I have seen many posts talking about commonly asked questions, such as finding the value of $0^0$, $\frac{1}{0}$,$\frac{0}{0}$, $\frac{\infty}{\infty}$, why $0.999...=1$ or even expressions of those terms combined as if that would make them defined. I have made this post to answer these questions once and for all, and I politely ask everyone to link this post to threads that are talking about this issue.
[list]
[*]Firstly, the case of $0^0$. It is usually regarded that $0^0=1$, not because this works numerically but because it is convenient to define it this way. You will see the convenience of defining other undefined things later on in this post.

[*]What about $\frac{\infty}{\infty}$? The issue here is that $\infty$ isn't even rigorously defined in this expression. What exactly do we mean by $\infty$? Unless the example in question is put in context in a formal manner, then we say that $\frac{\infty}{\infty}$ is meaningless.

[*]What about $\frac{1}{0}$? Suppose that $x=\frac{1}{0}$. Then we would have $x\cdot 0=0=1$, absurd. A more rigorous treatment of the idea is that $\lim_{x\to0}\frac{1}{x}$ does not exist in the first place, although you will see why in a calculus course. So the point is that $\frac{1}{0}$ is undefined.

[*]What about if $0.99999...=1$? An article from brilliant has a good explanation. Alternatively, you can just use a geometric series. Notice that
\begin{align*}
\sum_{n=1}^{\infty} \frac{9}{10^n}&=9\sum_{n=1}^{\infty}\frac{1}{10^n}=9\sum_{n=1}^{\infty}\biggr(\frac{1}{10}\biggr)^n=9\biggr(\frac{\frac{1}{10}}{1-\frac{1}{10}}\biggr)=9\biggr(\frac{\frac{1}{10}}{\frac{9}{10}}\biggr)=9\biggr(\frac{1}{9}\biggr)=\boxed{1}
\end{align*}
[*]What about $\frac{0}{0}$? Usually this is considered to be an indeterminate form, but I would also wager that this is also undefined.
[/list]
Hopefully all of these issues and their corollaries are finally put to rest. Cheers.

2nd EDIT (6/14/22): Since I originally posted this, it has since blown up so I will try to add additional information per the request of users in the thread below.

INDETERMINATE VS UNDEFINED

What makes something indeterminate? As you can see above, there are many things that are indeterminate. While definitions might vary slightly, it is the consensus that the following definition holds: A mathematical expression is be said to be indeterminate if it is not definitively or precisely determined. So how does this make, say, something like $0/0$ indeterminate? In analysis (the theory behind calculus and beyond), limits involving an algebraic combination of functions in an independent variable may often be evaluated by replacing these functions by their limits. However, if the expression obtained after this substitution does not provide sufficient information to determine the original limit, then the expression is called an indeterminate form. For example, we could say that $0/0$ is an indeterminate form.

But we need to more specific, this is still ambiguous. An indeterminate form is a mathematical expression involving at most two of $0$, $1$ or $\infty$, obtained by applying the algebraic limit theorem (a theorem in analysis, look this up for details) in the process of attempting to determine a limit, which fails to restrict that limit to one specific value or infinity, and thus does not determine the limit being calculated. This is why it is called indeterminate. Some examples of indeterminate forms are
\[0/0, \infty/\infty, \infty-\infty, \infty \times 0\]etc etc. So what makes something undefined? In the broader scope, something being undefined refers to an expression which is not assigned an interpretation or a value. A function is said to be undefined for points outside its domain. For example, the function $f:\mathbb{R}^{+}\cup\{0\}\rightarrow\mathbb{R}$ given by the mapping $x\mapsto \sqrt{x}$ is undefined for $x<0$. On the other hand, $1/0$ is undefined because dividing by $0$ is not defined in arithmetic by definition. In other words, something is undefined when it is not defined in some mathematical context.

WHEN THE WATERS GET MUDDIED

So with this notion of indeterminate and undefined, things get convoluted. First of all, just because something is indeterminate does not mean it is not undefined. For example $0/0$ is considered both indeterminate and undefined (but in the context of a limit then it is considered in indeterminate form). Additionally, this notion of something being undefined also means that we can define it in some way. To rephrase, this means that technically, we can make something that is undefined to something that is defined as long as we define it. I'll show you what I mean.

One example of making something undefined into something defined is the extended real number line, which we define as
\[\overline{\mathbb{R}}=\mathbb{R}\cup \{-\infty,+\infty\}.\]So instead of treating infinity as an idea, we define infinity (positively and negatively, mind you) as actual numbers in the reals. The advantage of doing this is for two reasons. The first is because we can turn this thing into a totally ordered set. Specifically, we can let $-\infty\le a\le \infty$ for each $a\in\overline{\mathbb{R}}$ which means that via this order topology each subset has an infimum and supremum and $\overline{\mathbb{R}}$ is therefore compact. While this is nice from an analytic standpoint, extending the reals in this way can allow for interesting arithmetic! In $\overline{\mathbb{R}}$ it is perfectly OK to say that,
\begin{align*}
a + \infty = \infty + a & = \infty, & a & \neq -\infty \\
a - \infty = -\infty + a & = -\infty, & a & \neq \infty \\
a \cdot (\pm\infty) = \pm\infty \cdot a & = \pm\infty, & a & \in (0, +\infty] \\
a \cdot (\pm\infty) = \pm\infty \cdot a & = \mp\infty, & a & \in [-\infty, 0) \\
\frac{a}{\pm\infty} & = 0, & a & \in \mathbb{R} \\
\frac{\pm\infty}{a} & = \pm\infty, & a & \in (0, +\infty) \\
\frac{\pm\infty}{a} & = \mp\infty, & a & \in (-\infty, 0).
\end{align*}So addition, multiplication, and division are all defined nicely. However, notice that we have some indeterminate forms here which are also undefined,
\[\infty-\infty,\frac{\pm\infty}{\pm\infty},\frac{\pm\infty}{0},0\cdot \pm\infty.\]So while we define certain things, we also left others undefined/indeterminate in the process! However, in the context of measure theory it is common to define $\infty \times 0=0$ as greenturtle3141 noted below. I encourage to reread what he wrote, it's great stuff! As you may notice, though, dividing by $0$ is undefined still! Is there a place where it isn't? Kind of. To do this, we can extend the complex numbers! More formally, we can define this extension as
\[\mathbb{C}^*=\mathbb{C}\cup\{\tilde{\infty}\}\]which we call the Riemann Sphere (it actually forms a sphere, pretty cool right?). As a note, $\tilde{\infty}$ means complex infinity, since we are in the complex plane now. Here's the catch: division by $0$ is allowed here! In fact, we have
\[\frac{z}{0}=\tilde{\infty},\frac{z}{\tilde{\infty}}=0.\]where $\tilde{\infty}/\tilde{\infty}$ and $0/0$ are left undefined. We also have
\begin{align*}
z+\tilde{\infty}=\tilde{\infty}, \forall z\ne -\infty\\
z\times \tilde{\infty}=\tilde{\infty}, \forall z\ne 0
\end{align*}Furthermore, we actually have some nice properties with multiplication that we didn't have before. In $\mathbb{C}^*$ it holds that
\[\tilde{\infty}\times \tilde{\infty}=\tilde{\infty}\]but $\tilde{\infty}-\tilde{\infty}$ and $0\times \tilde{\infty}$ are left as undefined (unless there is an explicit need to change that somehow). One could define the projectively extended reals as we did with $\mathbb{C}^*$, by defining them as
\[{\widehat {\mathbb {R} }}=\mathbb {R} \cup \{\infty \}.\]They behave in a similar way to the Riemann Sphere, with division by $0$ also being allowed with the same indeterminate forms (in addition to some other ones).
23 replies
Arr0w
Feb 11, 2022
scannose
Sep 19, 2022
k i Marathon Threads
LauraZed   0
Jul 2, 2019
Due to excessive spam and inappropriate posts, we have locked the Prealgebra and Beginning Algebra threads.

We will either unlock these threads once we've cleaned them up or start new ones, but for now, do not start new marathon threads for these subjects. Any new marathon threads started while this announcement is up will be immediately deleted.
0 replies
LauraZed
Jul 2, 2019
0 replies
k i Basic Forum Rules and Info (Read before posting)
jellymoop   368
N May 16, 2018 by harry1234
f (Reminder: Do not post Alcumus or class homework questions on this forum. Instructions below.) f
Welcome to the Middle School Math Forum! Please take a moment to familiarize yourself with the rules.

Overview:
[list]
[*] When you're posting a new topic with a math problem, give the topic a detailed title that includes the subject of the problem (not just "easy problem" or "nice problem")
[*] Stay on topic and be courteous.
[*] Hide solutions!
[*] If you see an inappropriate post in this forum, simply report the post and a moderator will deal with it. Don't make your own post telling people they're not following the rules - that usually just makes the issue worse.
[*] When you post a question that you need help solving, post what you've attempted so far and not just the question. We are here to learn from each other, not to do your homework. :P
[*] Avoid making posts just to thank someone - you can use the upvote function instead
[*] Don't make a new reply just to repeat yourself or comment on the quality of others' posts; instead, post when you have a new insight or question. You can also edit your post if it's the most recent and you want to add more information.
[*] Avoid bumping old posts.
[*] Use GameBot to post alcumus questions.
[*] If you need general MATHCOUNTS/math competition advice, check out the threads below.
[*] Don't post other users' real names.
[*] Advertisements are not allowed. You can advertise your forum on your profile with a link, on your blog, and on user-created forums that permit forum advertisements.
[/list]

Here are links to more detailed versions of the rules. These are from the older forums, so you can overlook "Classroom math/Competition math only" instructions.
Posting Guidelines
Update on Basic Forum Rules
What belongs on this forum?
How do I write a thorough solution?
How do I get a problem on the contest page?
How do I study for mathcounts?
Mathcounts FAQ and resources
Mathcounts and how to learn

As always, if you have any questions, you can PM me or any of the other Middle School Moderators. Once again, if you see spam, it would help a lot if you filed a report instead of responding :)

Marathons!
Relays might be a better way to describe it, but these threads definitely go the distance! One person starts off by posting a problem, and the next person comes up with a solution and a new problem for another user to solve. Here's some of the frequently active marathons running in this forum:
[list][*]Algebra
[*]Prealgebra
[*]Proofs
[*]Factoring
[*]Geometry
[*]Counting & Probability
[*]Number Theory[/list]
Some of these haven't received attention in a while, but these are the main ones for their respective subjects. Rather than starting a new marathon, please give the existing ones a shot first.

You can also view marathons via the Marathon tag.

Think this list is incomplete or needs changes? Let the mods know and we'll take a look.
368 replies
jellymoop
May 8, 2015
harry1234
May 16, 2018
Problem of the week
evt917   30
N an hour ago by evt917
Whenever possible, I will be posting problems twice a week! They will be roughly of AMC 8 difficulty. Have fun solving! Also, these problems are all written by myself!

First problem:

$20^{16}$ has how many digits?
30 replies
evt917
Mar 5, 2025
evt917
an hour ago
k How to report tags
Craftybutterfly   6
N 2 hours ago by Demetri
Not sure if this belongs in site support but how do you report tags for topics? I recently noticed in one of the topics I made on site support had really weird tags.
6 replies
Craftybutterfly
Today at 3:30 AM
Demetri
2 hours ago
How important is math "intuition"
Dream9   0
3 hours ago
When I see problems now, they usually fall under 3 categories: easy, annoying, and cannot solve. Over time, more problems become easy, but I don't think I'm learning anything "new" so is higher level math like AMC 10 more about practice, so you know what to do when you see a problem? Of course, there's formulas for some problems but when reading a lot of solutions I didn't see many weird formulas being used and it was just the way to solve the problem was "odd".
0 replies
Dream9
3 hours ago
0 replies
Math Question
somerandomkid32   2
N 3 hours ago by Dream9
I was looking to get better at math overall but don't know where to start. For context I am taking geometry as an 8th grader and have gotten a 18 on AMC 8. I have some background in Algebra 2 already such as factoring polynomials etc. reply if you need more info.
2 replies
somerandomkid32
Today at 12:31 AM
Dream9
3 hours ago
A twist on a classic
happypi31415   9
N Today at 5:30 AM by invisibleman
Rank from smallest to largest: $\sqrt[2]{2}$, $\sqrt[3]{3}$, and $\sqrt[5]{5}$.

Click to reveal hidden text
9 replies
happypi31415
Mar 17, 2025
invisibleman
Today at 5:30 AM
delete tag
o.k.oo   5
N Today at 4:27 AM by Zestra
The tag section for the question I shared is deleted after a while. What should not be done? Thanks.
5 replies
o.k.oo
Yesterday at 6:00 PM
Zestra
Today at 4:27 AM
Chances of mathcounts nats qual
stjwyl   79
N Today at 3:17 AM by DhruvJha
Info:
In 8th grade so I'm really hoping I can make nats now

I currently mock around 38 - 40 on nationals questions from 2015+
I mock anywhere from 37 - 42 on state questons from 2020+

For the sprint round I also have noticed that the difficulty jump from questions around 19 and 20 to questions around 22 and 23 has been really large (starting from 2023). I've also noticed that the last three questions (also from 2023 ->) are IMO impossible to do in the 40 minutes.

On target I can get 7/8 or even 8/8 if I'm lucky but it's possible for me to get 6/8

I'm in MA :sob: really hard state so do I have a chance

Edit: Just mocked the 2022 state round and got a 41 (29 sprint, 12 target :sob:)

Currently putting around 3 hrs or so a day and I have been for the past 2 months
States is 3/1 for me :sob:

so am i cooked
79 replies
stjwyl
Feb 21, 2025
DhruvJha
Today at 3:17 AM
state mathcounts colorado
aoh11   54
N Today at 3:14 AM by DhruvJha
I have state mathcounts tomorrow. What should I do to get prepared btw, and what are some tips for doing sprint and cdr?
54 replies
aoh11
Mar 15, 2025
DhruvJha
Today at 3:14 AM
Why was this poll blocked
jkim0656   5
N Today at 2:43 AM by MathRook7817
Hey AoPS ppl!
I made a poll about Pi vs Tau over here:
https://artofproblemsolving.com/community/c3h3527460
But after a few days it got blocked but i don't get why?
how is this harmful or different from other polls?
It really wasn't that harmful or popular i got to say tho... :noo:
5 replies
jkim0656
Yesterday at 10:51 PM
MathRook7817
Today at 2:43 AM
Rating Up Not Occuring
CatsRule222   2
N Today at 2:29 AM by aidan0626
Bug: In the state round, I answered 10 questions correctly without the rating changing at all (rating 43 currently) in the other rounds, it always works.
URL: https://artofproblemsolving.com/mathcounts_trainer/play
How to Recreate:
1. Get to mathcounts trainer rating 43 on state round, and it will glitch.
2 replies
CatsRule222
Today at 2:09 AM
aidan0626
Today at 2:29 AM
Amc10 prep question
Shadow6885   19
N Today at 12:05 AM by Shadow6885
My question is how much of the geo and IA textbooks is relevant to AMC 10?
19 replies
Shadow6885
Mar 17, 2025
Shadow6885
Today at 12:05 AM
k Pressing &#039;go down button&#039; always creates a gray box on the last post
Craftybutterfly   18
N Yesterday at 8:31 PM by jlacosta
Summary of the problem: Pressing go down to last post button always creates a gray box overlapping last post
Page URL: any forum
Steps to reproduce:
1. Go to any topic in a forum
2. The gray box at the bottom overlaps part of the first post
Expected behavior: Should not show a gray box
Frequency: 100% of the time
Operating system(s): Linux HP EliteBook 835 G8 Notebook PC
Browser(s), including version: Chrome 133.0.6943.142 (Official Build) (64-bit) (cohort: Stable)
Additional information: It works on any other device, on my iPhone XR, a MacOS, and my iPad. Took the screenshot a month ago. The gray box still appears
18 replies
Craftybutterfly
Mar 12, 2025
jlacosta
Yesterday at 8:31 PM
I think I regressed at math
PaperMath   21
N Yesterday at 7:05 PM by SpeedCuber7
I found the slip of paper a few days ago that I think I wrote when I was in kindergarten. It is just a sequence of numbers and you have to find the next number, the pattern is $1,2,5,40,1280,?$. I couldn't solve this and was wondering if any of you can find the pattern
21 replies
PaperMath
Mar 8, 2025
SpeedCuber7
Yesterday at 7:05 PM
My friend needs help on a probability problem.
JJ2023   2
N Yesterday at 4:09 PM by JJ2023
Problem:

A game is played with 2 players. There are 10 rounds. Each round, both players draw a card from a deck without jokers. They get the amount of points from said card (For example, if they get a 7, they get 7 points). After each round, they add the points to their total. What is the probability that player 1 has a higher score at the end than player 2?

Oh, and also, if you get a spades of something (For example, an Ace of Spades), it multiplies the next round points by a certain value, maybe 2.25 times.

Is this problem hard to solve? I think it is after many failed attempts.
2 replies
JJ2023
Yesterday at 1:07 PM
JJ2023
Yesterday at 4:09 PM
k LaTeX sizing error?
ImSh95   22
N Aug 3, 2023 by jlacosta
Is this just me, or is the $4$ in $410$ bigger than the $4$ in $476$?

Summary of the problem:
Some numbers in $\LaTeX$ appear bigger than others.
Ex.: The font size of $11$ seems small compared to that of $53$.

Page URL: (none)

Steps to reproduce:
1. Type two dollar signs to begin writing in $\LaTeX$.
2. Type numbers in between the dollar signs.
3. Look at the preview. (This does not only occur in the preview. It occurs in posts as well.)


Expected behavior: Some numbers will appear to have a larger font size than others.

Frequency: 100%

Operating system: Windows 10

Browser: Mozilla Firefox 115.0.2 (64-bit)

Additional information:
My findings: (hidden for length)

I am aware that this might be just me. I'm also aware that this is not a big issue; I am just wondering why it's happening.

Thanks
22 replies
ImSh95
Jul 27, 2023
jlacosta
Aug 3, 2023
LaTeX sizing error?
G H J
G H BBookmark kLocked kLocked NReply
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
ImSh95
1983 posts
#1 • 1 Y
Y by UpvoteFarm
Is this just me, or is the $4$ in $410$ bigger than the $4$ in $476$?

Summary of the problem:
Some numbers in $\LaTeX$ appear bigger than others.
Ex.: The font size of $11$ seems small compared to that of $53$.

Page URL: (none)

Steps to reproduce:
1. Type two dollar signs to begin writing in $\LaTeX$.
2. Type numbers in between the dollar signs.
3. Look at the preview. (This does not only occur in the preview. It occurs in posts as well.)


Expected behavior: Some numbers will appear to have a larger font size than others.

Frequency: 100%

Operating system: Windows 10

Browser: Mozilla Firefox 115.0.2 (64-bit)

Additional information:
My findings: (hidden for length)

I am aware that this might be just me. I'm also aware that this is not a big issue; I am just wondering why it's happening.

Thanks
Z Y
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TwitchX
421 posts
#2 • 1 Y
Y by UpvoteFarm
I have no idea why, but I noticed that before too
not really considered a problem tho
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ImSh95
1983 posts
#3 • 1 Y
Y by UpvoteFarm
yeah ik
do you use firefox too?
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TwitchX
421 posts
#4 • 1 Y
Y by UpvoteFarm
ImSh95 wrote:
yeah ik
do you use firefox too?

no
I use chrome and edge
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ImSh95
1983 posts
#5 • 1 Y
Y by UpvoteFarm
ok so it's not a browser problem then

do u use windows 10?
This post has been edited 1 time. Last edited by ImSh95, Jul 27, 2023, 7:43 PM
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w32dedorh30
731 posts
#6 • 1 Y
Y by UpvoteFarm
Safari$\quad$
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TwitchX
421 posts
#7 • 1 Y
Y by UpvoteFarm
ImSh95 wrote:
ok so it's not a browser problem then

do u use windows 10?

windows 11
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ImSh95
1983 posts
#8 • 1 Y
Y by UpvoteFarm
ok cool
not a operating system problem either
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Bookworm2008
3081 posts
#9 • 2 Y
Y by UpvoteFarm, Elephant200
All $\LaTeX$ expressions are cached, so the bigger and fuzzier looking images are likely due to an earlier version rendering it wonky, then that wonky version being saved and referenced forever. Note the same issue occurs with $\triangle ABC$ and $\triangle ABC~$. The former appears squished, while the latter renders like normal, although the only difference is a '~' at the end.

Also, in regards to your example at the beginning, I see the exact opposite.

It would be nice if AoPS could reset the cache, but that would lead to extreme lag as all $\LaTeX$ expressions are forced to re-render at the exact same time... Perhaps AoPS could reset the cache during a maintenance session?
This post has been edited 6 times. Last edited by Bookworm2008, Jul 27, 2023, 8:15 PM
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ImSh95
1983 posts
#10 • 2 Y
Y by Bookworm2008, UpvoteFarm
Ahh okay. Thank you Bookworm. :)
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w32dedorh30
731 posts
#11 • 1 Y
Y by UpvoteFarm
ImSh95 wrote:
Ahh okay. Thank you Bookworm. :)

$$1,2,3,4,5,6,7,8,9,0,10,26,3647,9272,91728,8282772,018637940176545,3*536728191019810,7362718196268303$$
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club52
721 posts
#12 • 2 Y
Y by UpvoteFarm, Yrock
This would also explain why asymptote is broken. Some weird things are cached in the memory, which explains the difference between
[asy]
dot((0,0));
[/asy]
and
[asy]
dot((0,0));[/asy]
Both of them have the exact same code, but the latter has one of the lines shifted.
Note: the former is too small to see, so I have attached an image of it.
Attachments:
This post has been edited 1 time. Last edited by club52, Jul 27, 2023, 9:36 PM
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CrystalFlower
982 posts
#13 • 1 Y
Y by UpvoteFarm
ImSh95 wrote:
ok so it's not a browser problem then

do u use windows 10?

I'm on windows 10, latex has same probem
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CraftyGecko
213 posts
#14 • 1 Y
Y by UpvoteFarm
this is kinda weird
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CrystalFlower
982 posts
#15 • 1 Y
Y by UpvoteFarm
CraftyGecko wrote:
this is kinda weird

wdym
actually ya
This post has been edited 1 time. Last edited by CrystalFlower, Jul 27, 2023, 10:06 PM
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ShrewdBunny
691 posts
#16 • 1 Y
Y by UpvoteFarm
safari and this is a problem
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Sotowa
9240 posts
#17 • 1 Y
Y by UpvoteFarm
I've noticed that a lot of the numbers have gotten weird recently:
$1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$ $14$ $15$ $16$ $17$ $18$ $19$ $20$ $21$ $22$ $23$ $24$ $25$ $26$ $27$ $28$ $29$ $30$ $31$ $32$ $33$ $34$ $35$ $36$ $37$ $38$ $39$ $40$ $41$ $42$ $43$ $44$ $45$ $46$ $47$ $48$ $49$ $50$ $51$ $52$ $53$ $54$ $55$ $56$ $57$ $58$ $59$ $60$ $61$ $62$ $63$ $64$ $65$ $66$ $67$ $68$ $69$ $70$ $71$ $72$ $73$ $74$ $75$ $76$ $77$ $78$ $79$ $80$ $81$ $82$ $83$ $84$ $85$ $86$ $87$ $88$ $89$ $90$ $91$ $92$ $93$ $94$ $95$ $96$ $97$ $98$ $99$ $100$

This goes under this list of LaTeX issues:
List wrote:
This is known, but it is very difficult for developers to fix. It has been posted before and the developers are likely aware of it, but it is not high on the priority list.
Some examples include: $1~$ (vs $1$), $P$ (vs $P~$), $i$ (vs $i~$), $L$ (vs $L~$), $565$ (vs $565~$), $n$ (vs $n~$), $\triangle ABC$ (vs $\triangle$ $ABC$), and $10 \times 10$ (vs $10 \times 10~$).

There must have been a recent update, since there used to be issues with $2$, $3$, $5$, $9$, $3892$, and $1 \times n$.
This post has been edited 3 times. Last edited by Sotowa, Aug 2, 2023, 9:43 PM
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Sotowa
9240 posts
#18 • 1 Y
Y by UpvoteFarm
Bumping this since it's still an issue.
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ethancui0529
1116 posts
#19 • 1 Y
Y by UpvoteFarm
imo i think its cuz the $1$ is less wide than the $7,$ so theres more space for the $4$ in $410$ than there is in $470,$ so i guess this is logical
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Sotowa
9240 posts
#20 • 1 Y
Y by UpvoteFarm
That's a good theory, but I don't think it's the case. The numbers aren't all the same size, like $61$ and $66$.
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Demetri
1079 posts
#21
Y by
Testing numbers with just dollar signs, dollar signs and ~, and dollar signs {} and ~. Seems like the {} and ~ have the nicest results.
$60$ $61$ $62$ $63$ $64$ $65$ $66$ $67$ $68$ $69$
$60~$ $61~$ $62~$ $63~$ $64~$ $65~$ $66~$ $67~$ $68~$ $69~$
$60{}~$ $61{}~$ $62{}~$ $63{}~$ $64{}~$ $65{}~$ $66{}~$ $67{}~$ $68{}~$ $69{}~$

$0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$
$0$ $1~$ $2~$ $3~$ $4~$ $5~$ $6~$ $7~$ $8~$ $9~$
$0{}~$ $1{}~$ $2{}~$ $3{}~$ $4{}~$ $5{}~$ $6{}~$ $7{}~$ $8{}~$ $9{}~$
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Sotowa
9240 posts
#22
Y by
I typically use tildes (~), but $1~$ has been off for a while. It's still a pain since the LaTeX rendering also affects old posts and I don't want to use my time going through old posts to add tildes.
This post has been edited 2 times. Last edited by Sotowa, Aug 2, 2023, 5:23 PM
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jlacosta
602 posts
#23
Y by
We don't have immediate plans to reset the cache of rendered LaTeX, but we can pass along your concerns.
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G
H
=
a