M Turgeon
Reputation
6,891
Next privilege 10,000 Rep.
Access moderator tools
 Mar 23 comment Could you recommend some books on Lie algebra？ As a side-note, this is the Erdmann and Wildon book I mentioned in my answer, so I completely agree with this answer Feb 17 comment Residue of Rankin-Selberg L-function for non-trivial nebentypus @Med Wow, that's old... Here's the new link: math.mcgill.ca/darmon/courses/11-12/nt/notes/lecture22.pdf Feb 15 comment How to prove $5^n − 1$ is divisible by 4, for each integer n ≥ 0 by mathematical induction? By the way, you should be careful in your assumptions. In (2), you assume that $p(k)$ is true for all $k\geq 0$, which is what you want to prove. The correct assumption is that $p(k)$ is true for some $k\geq 0$. Jan 27 comment Some hints for “If a prime $p = n^2+5$, then $p\equiv 1\mod 10$ or $p\equiv 9\mod 10$” "only hints, no solution please" Jan 24 awarded Necromancer Jan 13 comment What is the function of provided dataset? How do you know it holds for all $k\in\mathbb{N}$? Jan 13 comment Let $M = \frac{1}{2}(A + {A^T})$ be real symmetric nonnegative matrix. Why does $\rho (A) \le {\lambda _{\max }}(M)$? What is $\rho(A)$? Jan 13 revised Distribution random variable $W=\sum_{k=1}^{\infty}X_k/2^k$ edited title, fixed typo and improved formatting Jan 11 comment How to proof card p(a) = card p(b)? Are you assuming that $a$ and $b$ are finite sets? Dec 23 revised Partitions of the odd integers improved formatting Dec 12 comment What is the rule of $1.96$ for estimating confidence intervals? Fair enough. I forgot to mention that it would only be an approximation. And as you point out, it can be a poor one. Another example is binomial data with probability of success very close to zero or one. Dec 12 comment What does 'mod' stand for in this ODE book? If you are referring to page 19 (first edition), the next paragraph gives some information... Dec 12 comment What is the rule of $1.96$ for estimating confidence intervals? By the central limit theorem, you don't even need to assume normal random variables; you only need finite variance. Dec 9 comment Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ I can't give you a proof, but I think you should look into Generating functions Dec 5 comment Proving that $\mathbb{Q}(x_{1}, \sqrt{D})$ is the splitting field of all irreducible cubic polynomials in $\mathbb{Q}[x]$ Sorry, I meant $g(x_1) \in \mathbb{Q}(x_1)$ Dec 5 comment Proving that $\mathbb{Q}(x_{1}, \sqrt{D})$ is the splitting field of all irreducible cubic polynomials in $\mathbb{Q}[x]$ $g(x_1)$ is in $\mathbb{Q}$ Dec 5 comment What are the distinct cyclic subgroups of order 12 in $\mathbb{Z}_6 \times \mathbb{Z}_{10}^\times$? I fixed the formatting of the title, but please make sure this is really what you mean. And also, could you define $U(10)$? I don't think it's standard notation... Dec 5 revised What are the distinct cyclic subgroups of order 12 in $\mathbb{Z}_6 \times \mathbb{Z}_{10}^\times$? fixed formatting in title Dec 5 answered The intervals $[-1,1)$ and $(-1,1)$ are not homeomorphic Dec 5 comment Complex numbers like a factor ring $\mathbb{C} = \mathbb{R}[t]/(t^2 + 1)\mathbb{R}[t]$ @XuqiangQin I think you can post this as an answer.