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What are the necessary knowledge in order to learn Several complex variables? In the beginning I thought that complex analysis and multivariable calculus were the only thing, but then I...
Asked on 01/21/2021 by Eduardo Magalhães
3 answerSuppose we have a PDF $f_p(p)=pe^p$ for $p in [0,1]$. Here, $p$ is the probability that a coin toss is heads. We can then define the following...
Asked on 01/21/2021 by Zoom Bee
0 answerI want to derive closed-form parametric expressions describing the Schwarz H minimal surface starting from the Weierstrass–Enneper parametrisation, much like Gandy et al. did for the Schwarz D surface and...
Asked on 01/21/2021 by Parcly Taxel
0 answerI'm working on the following problem from Ross "A First Course in Probability" (9th edition):People enter a gambling casino at a rate of 1 every 2 minutes. (a)What is...
Asked on 01/21/2021 by Soid
1 answerFind the probability that given two random points on a sphere of radius $k$, their distance is at most $d,$ where $0leq d leq 2k.$Obviously the probability...
Asked on 01/21/2021
2 answerI have some questions while trying to solve 'Exercise II 3.17(a)~(c), Hartshorne. Zariski Space: A topological space $X$ is called a Zariski space if it is ...
Asked on 01/21/2021 by Hanwoong Cho
1 answerLet $Aneq varnothing$ and denote by $operatorname{Part}(A)$ the set of partitions of $A$. For $S,S' inoperatorname{Part}(A),$ we set$$ Sleq S' :!!iff forall C...
Asked on 01/21/2021 by Zuy
2 answerLet $(X,mathcal{M},mu)$ be a measure space. Suppose $E_nin mathcal{M}$ such that $$sum_{n=1}^infty mu(E_n) < infty$$ show $mu(limsup_{ntoinfty} E_n) = 0.$ Also, how can I prove or...
Asked on 01/21/2021 by shiloh.otis
3 answerGiven a norm $|cdot|:Bbb{R}^2 to Bbb{R}$ and metric spaces $(X,d_X), (Y,d_Y)$, we define $D((x_1,y_1),(x_2,y_2)) = |(d_X(x_1,x_2),d_Y(y_1,y_2))|$. Is $D$ always a metric? I know it is when...
Asked on 01/21/2021 by Zachary Hunter
2 answerI’ve recently found out that $sum_{n=1}^{infty}frac{1}{n^2+n}$ makes 1, since it becomes $frac{1}{2}, frac{2}{3}$ and so on. After then, I’ve became curious if I do the same thing with...
Asked on 01/21/2021 by user812072
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