Activity for Peter Taylor
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #291301 |
For the purposes of "each point in $X$ is in the image of exactly one such restriction $\sigma_\alpha | \overset{\circ}{\Delta}{}^n$" does the 0-simplex count as having a non-empty interior? If not, the points mapped by the vertex would seem to be exceptions. (more) |
— | 5 days ago |
| Comment | Post #291104 |
I haven't worked through it, but my first thought is that your diagram doesn't seem to use any properties of the circumcircle. I wonder whether the fact that the perpendicular bisector of CD is parallel to MD and passes through the centre of the circle will be relevant. (more) |
— | about 1 month ago |
| Comment | Post #290814 |
The FAQ says "Don't cross-post the same thing in multiple topics". I believe that "topics" is a term which generalises "question" to cover sites which have blog posts, articles, etc. Cross-posting questions across sites / networks without mentioning it is poor netiquette, but here the OP did provide ... (more) |
— | about 1 month ago |
| Comment | Post #290894 |
Yes, you're right. I don't think I've kept all of my previous Sage code so I can't try to figure out where I made the mistake, but that does open up some other ideas for extensions to $6 \times 6$. (more) |
— | about 2 months ago |
| Comment | Post #290894 |
This can be rephrased as $$(A+I)^{-1} = \frac{(1 + a_{01}^2 + a_{02}^2 + a_{12}^2)I - A + A^2}{|A+I|}$$ where $|A+I| = 1 + a_{01}^2 + a_{02}^2 + a_{12}^2$. For $4\times 4$ and $5\times 5$ it generalises respectively to $$-\frac{(1 + a_{01}^2 + a_{02}^2 + a_{03}^2 + a_{12}^2 + a_{13}^2 + a_{23}^2)(A -... (more) |
— | about 2 months ago |
| Comment | Post #290864 |
If you want to learn advanced mathematics, the best route is to work through a textbook. If you come to a proof that you can't understand, feel free to ask a specific question about that proof. Wikipedia mathematics pages are often more helpful as a refresher on something already studied than as a re... (more) |
— | 2 months ago |
| Edit | Post #290854 | Question closed | — | 2 months ago |
| Edit | Post #290864 | Question closed | — | 2 months ago |
| Edit | Post #290745 |
Post edited: Reduced the question metainformation to that which is relevant to this site |
— | 2 months ago |
| Edit | Post #290765 | Initial revision | — | 2 months ago |
| Answer | — |
A: Concrete examples of set theorists thinking independence proofs only determine provability rather than that a statement is neither true nor false? >> …the independence of a set-theoretic assertion from ZFC tells us little about whether it holds or not in the universe. > > How can this be? If it is independent, then it cannot be proved from the axioms. Thus, one has the freedom to assume it or assume the negation, as an axiom. Why would someon... (more) |
— | 2 months ago |
| Edit | Post #290642 |
Post edited: Fix typo |
— | 3 months ago |
| Edit | Post #290637 | Question closed | — | 3 months ago |
| Comment | Post #290581 |
The case analysis needs to take into account the possibility of a 2-2-0-0 split. If there are 4 voters and 4 candidates then there are $4^4 = 64$ ways for them to vote. (more) |
— | 3 months ago |
| Edit | Post #290494 | Initial revision | — | 4 months ago |
| Answer | — |
A: Is there a $(n_3)$ configuration which is not self-dual? OEIS has A001403 Number of combinatorial configurations of type (n3). A100001 Number of self-dual combinatorial configurations of type (n3). They first differ at $n=11$. An example of a non-self-dual configuration of type $(113)$ has points $0$ to $10$ and lines $[0, 1, 2]$, $[0, 3, 4]$, $[0... (more) |
— | 4 months ago |
| Edit | Post #290157 |
Post edited: Use conventional placement of binding operators |
— | 6 months ago |
| Comment | Post #290025 |
More generally, when $n > m$ the sum has no support so the LHS is zero. (more) |
— | 6 months ago |
| Comment | Post #289814 |
The page you link for tau-distribution says (variables adjusted for consistency with your presentation) "In fact, this implies that $\frac{\tau_\nu^2}{\nu}$ follows the beta distribution $B(\frac12,\frac{ν − 1}2)$." Is that effectively an answer? Stats was never my strongest subject and I'm very rust... (more) |
— | 7 months ago |
| Edit | Post #289811 | Initial revision | — | 7 months ago |
| Answer | — |
A: How can I improve contrast of red and green, to prove Reverse Triangle Inequality? The obvious answer to how to amplify the the difference in length between $|\vec{b}| - |\vec{r}|$ and $|\vec{b} - \vec{r}|$ is to set $r = -b$ so that one difference is zero and the other is arbitrarily large. (more) |
— | 7 months ago |
| Comment | Post #289757 |
I'm not sure why it's relevant that they're 16-year-olds, and that prompts me to consider that this is really a question for teachers about pedagogy rather than for mathematicians about mathematics, so this may not be the right place to ask. I've raised the scope question [on meta](https://math.codid... (more) |
— | 7 months ago |
| Edit | Post #289810 | Initial revision | — | 7 months ago |
| Question | — |
Is mathematical pedagogy in scope? Do we want to consider questions about how to teach mathematics in scope, or do we want to restrict questions to actually doing mathematics? (more) |
— | 7 months ago |
| Comment | Post #289760 |
If you think the previous question needs improving, edit the previous question rather than duplicating it with minor tweaks. (more) |
— | 7 months ago |
| Edit | Post #289760 | Question closed | — | 7 months ago |
| Comment | Post #289671 |
Firstly, it wasn't my edit. I don't understand why you call it my edit after having described the situation accurately in the question. Secondly, I understood the question to be about the edit summary. If that wasn't the main point, I suggest either editing the question or asking a new one. Thirdly, ... (more) |
— | 7 months ago |
| Comment | Post #289671 |
I wanted to approve the edit but change the edit summary to remove the mention of correctness, but this option wasn't available. (more) |
— | 7 months ago |
| Edit | Post #289518 | Initial revision | — | 8 months ago |
| Answer | — |
A: Picture proof for expansion of $x^n−y^n$ $$\begin{array}{c} \times & \mid & x^{n−1} & +x^{n−2}y & +\ldots & +xy^{n−2} & +y^{n−1} \\ \hline x & \mid & x^n & {\color{blue} +x^{n−1}y} & +\ldots & +x^2 y^{n−2} & {\color{green} +x y^{n−1}} \\ -y & \mid & {\color{blue} -x^{n−1}y} & -x^{n−2}y^2 & -\ldots & {\color{green} -xy^{n−1}} & -y^n \end... (more) |
— | 8 months ago |
| Edit | Post #289435 | Initial revision | — | 8 months ago |
| Answer | — |
A: Classification for involutory real infinite series If we look at formal power series and ignore questions of convergence for now, we can take $f(x) = \sum{i \ge 0} ai x^i$. Then the question is which sequences of $ai$ satisfy $$\sum{j \ge 0} aj \left(\sum{i \ge 0} ai x^i\right)^j = x$$ The case $a0 \neq 0$ is awkward, because we immediately get th... (more) |
— | 8 months ago |
| Comment | Post #289216 |
What exactly do you mean by "real infinite series"? Without the surrounding context I would interpret it as a function $\mathbb{N} \to \mathbb{R}$, but that can't be involutory unless it's an infinite series of natural numbers, in which case specifying "real" makes no sense. Are you looking for analy... (more) |
— | 9 months ago |
| Comment | Post #289012 |
Maybe someone with more imagination than me can see a way, but I'm not. (more) |
— | 9 months ago |
| Comment | Post #289012 |
The question "But why do most answers on lotteries consider the Pr(winning jackpot in 1 play)" might be on-topic as a *meta* question, but the answer is going to be along the lines of "Because that's what the questions ask about". As to *Homo economicus*, this is a mathematics site, and while tightly... (more) |
— | 9 months ago |
| Edit | Post #289012 | Question closed | — | 9 months ago |
| Edit | Post #289007 |
Post edited: The escaping interactions between MarkDown and MathJax are pretty nasty. This particular combination of single and double backslashes works in the preview |
— | 9 months ago |
| Comment | Post #288820 |
Yes. Consider a 3x3 grid with mines at (0,1), (1,0), (1,1) and an initial clue at (2,2). (more) |
— | 10 months ago |
| Edit | Post #288767 | Initial revision | — | 10 months ago |
| Answer | — |
A: Should posting on Meta affect reputation? It seems like a good thing to reward useful contributions to Meta, but probably not as much as useful contributions to Q&A. I have mixed feelings about negative scores for downvotes, but bearing in mind the use of downvotes to express disagreement with good-faith proposals I'm inclined to remove them... (more) |
— | 10 months ago |
| Comment | Post #288729 |
I assume that the values are integers. What are the default values and the supported bounds? (more) |
— | 10 months ago |
| Comment | Post #287787 |
I think you've missed the "(End)". The paragraph about 49 is part of [Schoenfield's original submission](https://oeis.org/history/view?seq=A309981&v=3). (more) |
— | 10 months ago |
| Edit | Post #288114 |
Post edited: I've removed the colours in the question, so to avoid confusion I'm removing references to them |
— | 12 months ago |
| Edit | Post #288113 |
Post edited: Remove non-mathematical content and inappropriate use of mathematical markup which reduces the accessibility of the question |
— | 12 months ago |
| Comment | Post #288113 |
The first question is borderline mathematical. The second question is not, so I'm going to edit to remove it. (more) |
— | 12 months ago |
| Edit | Post #288080 | Initial revision | — | 12 months ago |
| Answer | — |
A: How to intuit P(win the same lottery twice) $= p^{2}$ vs. P(win the same lottery twice | you won the lottery once) $= p$? > It feels contradictory for P(you win the same lottery twice) $\neq$ P(you win the same lottery twice|you won the lottery once). Would you expect P(you win the lottery exactly zero times) = P(you win the lottery exactly zero times | you won the lottery once)? > Intuitively, why aren't these ... (more) |
— | 12 months ago |
| Edit | Post #288039 |
Post edited: |
— | about 1 year ago |
| Edit | Post #288039 |
Post edited: |
— | about 1 year ago |
| Edit | Post #288039 |
Post edited: |
— | about 1 year ago |