Activity for Moshiâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #291687 |
I can't immediately find a disproof for non-powers of 2, but for powers of two, this is evidently a known result with a proof by Knuth in his The Art of Computer Programming (Volume 3, Chapter 6.4, Exercise 20).
I found a different, inductive proof here as well: https://fgiesen.wordpress.com/2015/... (more) |
— | 6 months ago |
| Comment | Post #287819 |
This one? https://math.stackexchange.com/questions/498393/finding-an-integer-coefficients-quadratic-equation-which-has-approximate-solutio (more) |
— | almost 2 years ago |
| Edit | Post #287667 |
Post edited: |
— | almost 2 years ago |
| Suggested Edit | Post #287667 |
Suggested edit: (more) |
helpful | almost 2 years ago |
| Edit | Post #287515 | Initial revision | — | about 2 years ago |
| Question | — |
Posts with math are very, very tall in the feed With the recent post previews, posts with previewed math end up becoming ridiculously tall Screenshot tall posts in post list This obviously both looks ugly and means that fewer posts can fit on the page at once. There are two main ways that I think this could be resolved: forcing inline... (more) |
— | about 2 years ago |
| Comment | Post #287410 |
In your post, your equation includes a +1 term, while your general form in the title doesn't. I haven't tried solving it yet to see whether either is a square, but which one is intended?
Secondarily, could you put the general form into the body of the post? (more) |
— | about 2 years ago |
| Comment | Post #287188 |
Putting aside the fact that math does not particularly care about physical possibilities, and further the fact that it isn't physically impossible to trisect an object....
The existence of a repetend (aka repeated digits) depends completely on what base we use. Consider for a moment the usage of b... (more) |
— | about 2 years ago |
| Comment | Post #287078 |
Wikipedia has an explanation that is pretty similar to my understanding: https://en.m.wikipedia.org/wiki/Precalculus
In my experience, it generally consists of
-an introduction to trigonometry
-an introduction to proofs
-an introduction to (infinite) series and products, and limits
Wit... (more) |
— | about 2 years ago |
| Edit | Post #287066 | Initial revision | — | about 2 years ago |
| Answer | — |
A: Show that $\forall n \in \mathbb{Z}^{+}$, $25^n \equiv 25 \bmod{100}$. There is a fairly simple proof by induction. Base case: $n = 1$ $$25^1\equiv 25 \mod 100$$ Inductive case: Assuming $25^n\equiv 25 \mod 100$, $$ \begin{align} 25^{n+1}&\equiv 25\cdot 25^n \mod 100\\ &\equiv 25 \cdot 25 \\ &\equiv 625 \\ &\equiv 25 \end{align} $$ Actually, th... (more) |
— | about 2 years ago |
| Comment | Post #283387 |
@#53628 I'm not sure what you're asking. Asking why it's defined like that is like asking why the sum of x and y is denoted x+y; it's done so by convention.
I'm any case, it wouldn't make sense the other way around. We defined A as the event of prior abuse, G as the event of guilt, and M as the ev... (more) |
— | over 3 years ago |
| Comment | Post #283387 |
By definition, the proportion of men who abuse their wives given that they are guilty of murdering them is P(A|G,M), and similarly for the other one. (more) |
— | over 3 years ago |
| Comment | Post #283281 |
@#36363 Mathematical perimeters do not have a concept of width, since they are one dimensional. What you're describing is an [annulus](https://en.m.wikipedia.org/wiki/Annulus_(mathematics)). (more) |
— | over 3 years ago |
| Comment | Post #283281 |
@#36363 When you do `border: 2px solid black`, you make it 2px *thick*. The *length* of the perimeter would not be 2px.
The Greek letter there is pi, https://en.wikipedia.org/wiki/Pi (more) |
— | over 3 years ago |
| Comment | Post #283281 |
Are you looking for an answer other than "The perimeter of a circle is given by $2\pi r$"? Because most common shapes already have formulas for their perimeter. (And for arbitrary parameterized shapes you can just use a line integral, which is basically another fomula) (more) |
— | over 3 years ago |
| Comment | Post #283260 |
You made a mistake in your calculations,
$$(1:999)(99:1)=(99:999)=(11:111)\ne(1:111)$$
Using $(11:111)$ gives the expected result of <span>$\frac{11}{122}\approx 0.09016$ (more) |
— | over 3 years ago |
| Comment | Post #283123 |
$x^2+y^2=5$ is the equation of a circle (of radius $\sqrt5$) (more) |
— | over 3 years ago |
| Edit | Post #278772 |
Post edited: |
— | over 3 years ago |
| Comment | Post #278772 |
@#54204 https://github.com/mathjax/MathJax/issues/2312
MathJax 3 (what Codidact is using) has issues with `\\`.
For now, you can wrap them in an environment such as `\displaylines`, e.g.
```
<p>$$\displaylines{123 \\\ 321}$$</p>
```
Don't ask me why \displaylines uses three backslashes... (more) |
— | over 3 years ago |
| Comment | Post #278772 |
@#54204 It's already there :) (more) |
— | over 3 years ago |
| Comment | Post #278772 |
@#54204 Try wrapping it in a `<p>` tag
```
<p>$$\begin{array}{l} P \text { (both girls, at least one winter girl })&=P \text { (both girls, at least one winter child) }\\ &=(1 / 4) P(\text { at least one winter child }) \\ &=(1 / 4)(1-P(\text { both are non-winter })) \\ &=(1 / 4)\left(1-(3 / 4)^... (more) |
— | over 3 years ago |
| Comment | Post #278772 |
<p>$$\begin{array}{l} P \text { (both girls, at least one winter girl })&=P \text { (both girls, at least one winter child) }\\ &=(1 / 4) P(\text { at least one winter child }) \\ &=(1 / 4)(1-P(\text { both are non-winter })) \\ &=(1 / 4)\left(1-(3 / 4)^{2}\right) \end{array}$$</p> (more) |
— | over 3 years ago |
| Edit | Post #283114 | Initial revision | — | over 3 years ago |
| Answer | — |
A: In the Monty Hall problem, why can you just assume the contestant picked door 1? Why are you entitled to relabel the doors, or rewrite this solution with the door numbers permuted? > Correct me if I'm wrong, but the game show didn't authorize contestants "to relabel the doors, or" permute the door numbers. So what permits you to do any of this in this solution? The game show never labeled the doors in the first place. We are the ones labeling the doors, so we are free to lab... (more) |
— | over 3 years ago |
| Comment | Post #278772 |
@#54204 Could you post what you're trying? (Preferably in a new thread) I'll try to see what's wrong. (more) |
— | over 3 years ago |
| Edit | Post #282658 | Initial revision | — | over 3 years ago |
| Answer | — |
A: Who should the temporary moderators be? I'd like to nominate Peter Taylor I think that Peter would also be a good mod candidate. He is also quite active here, and also seems to be active on Math Meta. If Peter would like to accept this nomination, please let me know. (more) |
— | over 3 years ago |
| Edit | Post #282657 | Initial revision | — | over 3 years ago |
| Answer | — |
A: Who should the temporary moderators be? I'd like to nominate Derek Elkins I think that Derek would be a good mod candidate, as he is relatively active here both as an answerer and on Math Meta. If Derek would like to accept this nomination, please let me know. (more) |
— | over 3 years ago |
| Edit | Post #282644 |
Post edited: Fixed LaTeX |
— | over 3 years ago |
| Suggested Edit | Post #282644 |
Suggested edit: Fixed LaTeX (more) |
helpful | over 3 years ago |
| Comment | Post #282343 |
@#8056 It was fixed literally the next day lol (https://math.codidact.com/posts/278672) (more) |
— | over 3 years ago |
| Edit | Post #282343 | Initial revision | — | over 3 years ago |
| Question | — |
MathJax doesn't render in thread previews Basically the title. For example, see this post; the LaTeX code isn't rendered when opening the preview. (more) |
— | over 3 years ago |
| Comment | Post #282060 |
Could you elaborate why you think it would be (true positives/false positives)? By analogy, say we have an 11-sided dice roll, with 11 being a true positive and 1-10 being false positive. Clearly, the probablity of landing a 1 is *not* 1/10, but 1/11. (more) |
— | over 3 years ago |
| Edit | Post #278772 |
Post edited: Added a better workaround |
— | over 3 years ago |
| Comment | Post #280856 |
I'd also like to add that not everyone is necessarily fluent in LaTeX, and I don't think we should expect everyone to be. If someone *really* doesn't like people posting screenshots of equatons, then they should suggest an edit themselves to convert it into LaTeX. (more) |
— | almost 4 years ago |
| Edit | Post #280759 | Initial revision | — | almost 4 years ago |
| Question | — |
Equations can be too big for the post area On https://math.codidact.com/posts/280741, there is a pretty big table on the question which overflows off the edge of the post and into the side widgets. Screenshot of overflow Clearly, this shouldn't happen. Perhaps once it reaches the border of the post, it could be resized to fit in the pos... (more) |
— | almost 4 years ago |
| Edit | Post #280741 |
Post edited: quickfix of // -> ////, see https://math.codidact.com/posts/278763 |
— | almost 4 years ago |
| Comment | Post #280742 |
This is a known bug (https://math.codidact.com/posts/278763), I suggested a quick workaround which should fix the issue until the renderer is fixed (more) |
— | almost 4 years ago |
| Suggested Edit | Post #280741 |
Suggested edit: quickfix of // -> ////, see https://math.codidact.com/posts/278763 (more) |
helpful | almost 4 years ago |
| Comment | Post #280068 |
On the other hand, I think of $1/\sqrt3$ as 'simpler' in that it is just the reciprocal of root three, as opposed to being root three divided by three. (more) |
— | almost 4 years ago |
| Comment | Post #279225 |
`$Mathematics` lol https://math.codidact.com/help/how-to-ask (more) |
— | about 4 years ago |
| Comment | Post #278772 |
@wizzwizz4 KaTeX is great, but it sadly still isn't as good as MathJax in terms of features. If you want though, you could make a new meta post to discuss that change (more) |
— | about 4 years ago |
| Comment | Post #278772 |
@wizzwizz4 Maybe? The parser Codidact uses wasn't meant for latex and so doesn't have that sort of ability. (more) |
— | about 4 years ago |
| Edit | Post #278772 | Initial revision | — | about 4 years ago |
| Answer | — |
A: Mathjax does not render new lines Tl;dr, Markdown and LaTeX don't like each other The problem lies in a conflict between the Markdown and MathJax parsers. The Markdown parser runs first[^1] and uses \\ as an escape character, and so `\\` becomes a single backslash. The MathJax parser then only sees that single backslash, which mea... (more) |
— | about 4 years ago |
| Edit | Post #278744 |
Post edited: fixed some typoes |
— | about 4 years ago |