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Say we have a stochastic process $ {X_t}_{t in mathbb{I}}$ with index set $mathbb{I}$ where each random variable $X_t$ has the same measurable space $(Omega, mathcal{F})$...
Asked on 12/05/2021
0 answerI have been searching an integer sequence in OEIS. The sequence is the following: OEIS A321234 (https://oeis.org/A321234) . So far, so good. However, this sequence is the...
Asked on 12/05/2021 by Mr. N
1 answerI'm working on a proof of: "if $axequiv ay pmod{m}$, and $gcd(a,m)=1$, then $xequiv ypmod{m}$". Here's what I have so far: Suppose $axequiv aypmod{m}$, and ...
Asked on 12/05/2021
3 answerIs it possible that a smoothly varying finite dimensional vector subspaces tracing out infinite dimensional locus? More precisely, Let $E$ be a vertor bundle on a (compact) smooth manifold...
Asked on 12/05/2021 by Wei Xia
1 answerSuppose $X$ is a Hausdorff topology space, and let ${x_n}_{n=1}^{infty} subset X$ be a sequence in $X$. Is the following statment true?${x_n}_{n=1}^{infty}$ has a subsequence convergeing...
Asked on 12/05/2021 by Yunfei
2 answerI’m reading a paper and I’m unable to verify arguments. I try to avoid technical terms in the paper by using simple set-theoretic notation. (a) Right now, I’m having ...
Asked on 12/05/2021 by Nothingone
1 answerLet $rho: SL(2,mathbb R) to GL(V)$ be an irreducible representation of $SL(2,mathbb R)$. A paper I am reading says $rho$ can be described as...
Asked on 12/05/2021
1 answerI'm wondering if there is a closed formula for the sum $a^1+a^4+a^9...$ and more generally $a^{1^n}+a^{2^n}+a^{3^n}...$ for real $a$ and $n$ such that $|a|<1$ and...
Asked on 12/05/2021 by Kevin Lu
1 answerA holomorphic function $f$ has the same derivative at a point in all directions, but can we visualize this fact? I guess probably not, at least if we try...
Asked on 12/05/2021
1 answerI want to know the truth value of : There exists an integer $n $such that if $n > 2,$ then $n^2 = 2n$. I will say...
Asked on 12/05/2021 by user117375
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