Activity for Peter Taylor‭

Type	On...	Excerpt	Status	Date
Edit	Post #290494	Initial revision	—	about 1 year 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)	—	about 1 year ago
Edit	Post #290157	Post edited: Use conventional placement of binding operators	—	over 1 year ago
Comment	Post #290025	More generally, when $n>m$ the sum has no support so the LHS is zero. (more)	—	over 1 year 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 $B(\frac{1}{2},\frac{\nu -1}{2})$." Is that effectively an answer? Stats was never my strongest subject and I'm very rust... (more)	—	over 1 year ago
Edit	Post #289811	Initial revision	—	over 1 year 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 $|\overrightarrow{b}|-|\overrightarrow{r}|$ and $|\overrightarrow{b}-\overrightarrow{r}|$ is to set $r=-b$ so that one difference is zero and the other is arbitrarily large. (more)	—	over 1 year 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)	—	over 1 year ago
Edit	Post #289810	Initial revision	—	over 1 year 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)	—	over 1 year ago
Comment	Post #289760	If you think the previous question needs improving, edit the previous question rather than duplicating it with minor tweaks. (more)	—	over 1 year ago
Edit	Post #289760	Question closed	—	over 1 year 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)	—	over 1 year 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)	—	over 1 year ago
Edit	Post #289518	Initial revision	—	over 1 year ago
Answer	—	A: Picture proof for expansion of $x^n-y^n$ $$\begin{array}{c} \times & \mid & x^{n−1} & +x^{n−2}y & +\ldots & +xy^{n−2} & +y^{n−1} \ \hline x & \mid & x^n & {\color{blue} +x^{n−1}y} & +\ldots & +x^2 y^{n−2} & {\color{green} +x y^{n−1}} \ -y & \mid & {\color{blue} -x^{n−1}y} & -x^{n−2}y^2 & -\ldots & {\color{green} -xy^{n−1}} & -y^n \end... (more)	—	over 1 year ago
Edit	Post #289435	Initial revision	—	over 1 year ago
Answer	—	A: Classification for involutory real infinite series If we look at formal power series and ignore questions of convergence for now, we can take $f(x)=\sum i\ge 0ai{x}^i$. Then the question is which sequences of $ai$ satisfy $$\sum j\ge 0aj{(\sum i\ge 0ai{x}^i)}^j=x$$ The case $a0\ne 0$ is awkward, because we immediately get th... (more)	—	over 1 year 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)	—	over 1 year ago
Comment	Post #289012	Maybe someone with more imagination than me can see a way, but I'm not. (more)	—	over 1 year 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)	—	over 1 year ago
Edit	Post #289012	Question closed	—	over 1 year 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	—	over 1 year 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)	—	over 1 year ago
Edit	Post #288767	Initial revision	—	almost 2 years 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)	—	almost 2 years ago
Comment	Post #288729	I assume that the values are integers. What are the default values and the supported bounds? (more)	—	almost 2 years 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)	—	almost 2 years ago
Edit	Post #288114	Post edited: I've removed the colours in the question, so to avoid confusion I'm removing references to them	—	almost 2 years ago
Edit	Post #288113	Post edited: Remove non-mathematical content and inappropriate use of mathematical markup which reduces the accessibility of the question	—	almost 2 years 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)	—	almost 2 years ago
Edit	Post #288080	Initial revision	—	almost 2 years 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) $\ne$ 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)	—	almost 2 years ago
Edit	Post #288039	Post edited:	—	almost 2 years ago
Edit	Post #288039	Post edited:	—	almost 2 years ago
Edit	Post #288039	Post edited:	—	almost 2 years ago
Edit	Post #288039	Post edited:	—	almost 2 years ago
Comment	Post #288022	I haven't analysed it in detail, but I don't think that *a priori* it can be assumed to be fallacious. (more)	—	almost 2 years ago
Comment	Post #288022	It's not impossible in principle to make a profit by buying every number combination, although it requires a large syndicate both to invest and to obtain the tickets; a lottery where unwon prizes roll over so that the jackpot gets large enough to be worth it; and a bit of luck so that you're not shar... (more)	—	almost 2 years ago
Comment	Post #287999	I was specifically assuming that the numbers on each ticket are *not* randomly generated but chosen by the player. (more)	—	about 2 years ago
Comment	Post #287999	I would say that in the context of the question the chance of winning is linear with the number of tickets because we can assume that the tickets will not have the same numbers, and a perfect match with the selected numbers is required to win, so they cover different outcomes of a single event. (more)	—	about 2 years ago
Edit	Post #287998	Post edited: It's not necessary to put the entire post in bold; compact the comparable data into one table; the Daily Keno description was insufficient to say anything meaningful	—	about 2 years ago
Edit	Post #287973	Question closed	—	about 2 years ago
Edit	Post #287958	Question closed	—	about 2 years ago
Comment	Post #287958	To properly answer this question we would need full details on the prize structure (because most lotteries have more than just the top prize) and sufficient details on the ticket structure to estimate the chances of prizes being shared. (more)	—	about 2 years ago
Comment	Post #287787	Certainly $p_0\in$ [A183064](https://oeis.org/A183064) shows that candidates are quite sparse. (more)	—	about 2 years ago
Edit	Post #287787	Post edited: Tweak for consistency	—	about 2 years ago
Edit	Post #287787	Initial revision	—	about 2 years ago
Question	—	Prove that 49 is the only prime square to be followed by twice a prime square and then a semiprime Let $\tau (n)$ denote the number of divisors of $n$. OEIS sequence A309981 gives the smallest $k$ such that the tuple $(\tau (n),\tau (n+1),\dots ,\tau (n+k))$ uniquely determines $n$. For small $n$ the value can often be verified by case analysis in residues to a suitable modulus, but $n=49$ is mo... (more)	—	about 2 years ago
Comment	Post #287764	I think that it's intended to be seen as community reputation rather than mathematics reputation: it measures your contribution to the math.codidact.com community (and that, in turn, is arguably a proxy for activity in the math.codidact.com community, as long as you're not mainly making posts which g... (more)	—	about 2 years ago

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