Activity for Peter Taylorâ€
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Edit | Post #285016 |
Post edited: |
— | over 2 years ago |
| Edit | Post #285016 |
Post edited: |
— | over 2 years ago |
| Edit | Post #285016 | Initial revision | — | over 2 years ago |
| Answer | — |
A: How can Cross Multiplication be intuited or pictured? average(average(a,b),c) vs. average(a,average(b,c)). 1. The two questions were closed as unclear because they're unclear. There's no dissimulation involved. 2. I don't see any evidence in r's comment that they understood the question. They say that you've ignored suggestions elsewhere for how to improve it, and they reference the introduction, but t... (more) |
— | over 2 years ago |
| Comment | Post #284996 |
The area of a circle is $\pi r^2$, and a point is the limit of a circle as $r \to 0$. (more) |
— | over 2 years ago |
| Comment | Post #285005 |
If the question is "Why does dividing two equal things by the same thing give two equal things" then I'm not sure why that isn't intuitive already. Separately, the first image gives a false statement (because you always need to be wary of the special case of division by zero), and I'm not sure what t... (more) |
— | over 2 years ago |
| Edit | Post #285005 | Question closed | — | over 2 years ago |
| Comment | Post #284997 |
I can't even guess at what you're asking. (more) |
— | over 2 years ago |
| Edit | Post #284997 | Question closed | — | over 2 years ago |
| Edit | Post #284788 | Question closed | — | over 2 years ago |
| Comment | Post #284773 |
@#54114, when r~~ gave essentially the same answer in comments saying that it wasn't clear whether it was what you were looking for, your response was much more lukewarm. (more) |
— | over 2 years ago |
| Edit | Post #284550 |
Post edited: |
— | over 2 years ago |
| Edit | Post #282737 |
Post edited: |
— | over 2 years ago |
| Comment | Post #284550 |
Is "transpose matrix" a technical term from some field (perhaps mathematical physics) or should the tag be changed to `matrix-transpose`? (more) |
— | over 2 years ago |
| Edit | Post #284561 |
Post edited: Remove tags which don't seem likely to fit many questions and create one which does |
— | over 2 years ago |
| Comment | Post #284561 |
If you're asking about notations that physicists use, you might have a better chance of getting a good answer on the physics site. (more) |
— | over 2 years ago |
| Edit | Post #284712 |
Post edited: |
— | over 2 years ago |
| Edit | Post #284712 |
Post edited: |
— | over 2 years ago |
| Edit | Post #284712 | Initial revision | — | over 2 years ago |
| Answer | — |
A: ratio of partial sums of the same geometric sequence I think your approach is the expected one, but a shortcut if rigour is not required would be to note that the absolute value of the ratio must be greater than 1, or the proportion couldn't exceed $\frac{12}8$; but then the largest term dominates, so $$q^4 \approx \frac{819}{51} \approx 16.05$$ and th... (more) |
— | over 2 years ago |
| Comment | Post #284651 |
You can easily calculate the expected steps per roll as 1.68. To reach a million steps you're going to need at least 20000 rolls, and an estimated 595238 rolls. Is there anything which you can't calculate to sufficient precision for your purposes just using the central limit theorem? (more) |
— | over 2 years ago |
| Comment | Post #284550 |
`$\tilde{e}$` gives $\tilde{e}$ (more) |
— | over 2 years ago |
| Comment | Post #284052 |
You seem to be amalgamating two orthogonal issues: citing the source of the material which the question is about, and establishing some kind of whitelist of acceptable sources. IMO the first is a reasonable issue to raise and the second is an unreasonable suggestion, but the discussion would be clear... (more) |
— | over 2 years ago |
| Comment | Post #283952 |
Yes, that's what I said in my comment yesterday. (more) |
— | over 2 years ago |
| Edit | Post #283111 | Question closed | — | over 2 years ago |
| Comment | Post #283935 |
@#53922 I think (although without more context I can't be certain) that you're misunderstanding the flow of the text. It looks to me as though (2.6) states a condition (which you've misquoted in your comment: that subscript $\alpha = 0$ is there for a reason) and then the following text, from "By the... (more) |
— | over 2 years ago |
| Edit | Post #283935 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Consider the second of these integrals (What's the meaning of second right here?) > What did they mean by "second"? They've mentally expanded $$\frac{dJ}{d\alpha}=\int{x1}^{x2}\left(\frac{\partial f}{\partial y}\frac{\partial y}{\partial \alpha}+\frac{\partial f}{\partial \dot{y}}\frac{\partial \dot{y}}{\partial \alpha}\right)\mathrm dx$$ (which I've corrected to be what it say... (more) |
— | over 2 years ago |
| Comment | Post #282564 |
@#54204, I'm not sure what suggested edits you're talking about. (more) |
— | over 2 years ago |
| Comment | Post #283886 |
I don't think it's a duplicate as such, but you asked a [previous question](https://math.codidact.com/posts/282771) on a later sentence from this exact passage from your textbook (and Wolgwang kindly replaced your image with text and MathJax there, which you could reuse here). (more) |
— | over 2 years ago |
| Comment | Post #283899 |
@DNB, your teacher seems to have a vocabulary full of obscure English words which reference supernatural beings or supernatural knowledge of the future (*soothsay*, *augure*, *fey*, *sibylline*, *vaticinate*), but that vocabulary isn't suitable for use (a) in mathematics; (b) with native English spea... (more) |
— | over 2 years ago |
| Edit | Post #283713 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Find limits of integration in polar coordinates You're going to need to differentiate the curves where they pass through the origin, and also find the angle of the intercept. $$\frac{\textrm{d}}{\textrm{d}x} \textrm{blue curve}\Big\vert{x=0} = 0$$ giving a limit $\theta0=0$. $$\frac{\textrm{d}}{\textrm{d}x} \textrm{red curve}\Big\vert{x=0} =... (more) |
— | over 2 years ago |
| Comment | Post #283400 |
Hint: you can find the answer near the start of the [Wikipedia page on matrices](https://en.wikipedia.org/wiki/Matrix_\(mathematics\)). (more) |
— | over 2 years ago |
| Edit | Post #283400 |
Post edited: Escaping workaround |
— | over 2 years ago |
| Edit | Post #283518 | Initial revision | — | over 2 years ago |
| Question | — |
Do these major triangle lines have names? Kimberling's Encyclopedia of Triangle Centers lists, among other things, lines on which each centre is found, but usually listing only two points on the line. As a little project I've assembled these triples to find lines which have many centres, which would seem to be a rough measure of how importan... (more) |
— | over 2 years ago |
| Comment | Post #283399 |
@#53628, it's not an unreasonable assumption that someone with questions about material at this level is in full-time education and has access to a teacher. (more) |
— | over 2 years ago |
| Edit | Post #283433 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Finding the smallest Mersenne-number multiple of an odd integer Add one to both sides and consider residues modulo $a$ to get $$2^n \equiv 1 \pmod a$$ So you want to find the multiplicative order of $2$ modulo $a$. As you note, $2^n \ge a + 1$ so $n \ge \lg(a+1)$; by Lagrange's theorem, $n \le \varphi(a)$, where $\varphi$ is Euler's totient function. More gene... (more) |
— | over 2 years ago |
| Comment | Post #283339 |
You do realise that this is the Mathematics site, not the Physics one? (more) |
— | over 2 years ago |
| Comment | Post #283299 |
Yes, and then we can see how well the "revert to previous version" feature is implemented. (more) |
— | over 2 years ago |
| Edit | Post #283301 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Is replacing the entire question with a different one appropriate? No, this is not appropriate. If someone no longer wishes to keep their unanswered question on the site, they can delete it. If someone wishes to ask a new question, they can do so as a new question. The only reasons I can see for not behaving straightforwardly are (i) some idea that it's more ecol... (more) |
— | over 2 years ago |
| Edit | Post #283299 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Why was my question closed: If Alice must've have classes on at least 2 days, why do you need the intersection of 3 's? 1. It wasn't actually unilateral. 2. It's not so much that the question was unconstructive, as the wholesale replacement of the content which removed all context to the existing comment. The question was flagged as "seems like some weird attempt to game the system", which indeed it does. So I pos... (more) |
— | over 2 years ago |
| Comment | Post #283254 |
Does this really need two questions? There are marginal differerences to the other one, but really they're both asking for explanations of the same diagram, and if there's any answer other than "If that explanation doesn't help you, find a better one" then it's probably better in one place rather tha... (more) |
— | over 2 years ago |
| Edit | Post #282645 | Question closed | — | over 2 years ago |
| Edit | Post #283185 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Prove $(\cos^3\theta+\sin^3\theta)^2= \cos^6\theta(1+\tan^3\theta)^2$ $$(a+b)^2 = a^2 \left(1 + \frac ba\right)^2$$ (more) |
— | over 2 years ago |