Mathematics
Bernard Pan's user avatar
Bernard Pan's user avatar
Bernard Pan's user avatar
Bernard Pan
  • Member for 3 years, 5 months
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All Questions Answers
Score Newest
question
6
Find an element of order $p$ in a non-abelian group $G$ of order $p^3$ where $p$ is an odd prime
Aug 9, 2021
answer
5
Given $X\sim\text{Unif}(0,2\pi)$, find the probability density function of $Y = \sin(X)$
Apr 6, 2021
question
5
Let $G$ be a group with center $Z<G$. Prove that if every element in $G\setminus Z$ has finite order, then $G$ is periodic.
Jan 9, 2021
question
5
Prime $\frak p\subset q\implies\exists$ prime $\frak p_1,q_1:p\subseteq p_1\subset q_1\subseteq q$ with no prime ideals between $\frak p_1,q_1$
Feb 22
question
5
Uniqueness of Semidirect Product $(\mathbb{F}_p\times\mathbb{F}_p)\rtimes\mathbb{F}_p$
Aug 10, 2021
answer
5
Solve the equation $\sqrt{45x^2-30x+1}=7+6x-9x^2$
Dec 26, 2020
answer
4
Let $a,b,c$ be integers such that $\gcd(a,6)=3=\gcd(b,6)$. Show that $\gcd(a+b,6)=6$.
Dec 31, 2020
answer
4
Any group of order $5^2q^m$ is not simple if both $q$ is a prime and $m$ a positive integer such that $5^2\nmid q^m!$
Aug 14, 2021
question
4
If the Riemann-Stieltjes integral $\int_a^b{f\,dg}$ exists for every $f\in\mathcal{R}[a,b]$, then $g$ is absolutely continuous
Nov 24, 2022
question
4
Kronecker Product of Normal Matrices
Mar 22, 2022

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