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 Feb 5 accepted Prove that if $X$ is subgaussian, then ${\bf E}e^{tX}=1+\sum_{k=1}^{\infty}\frac{t^k}{k!}{\bf E}X^k$ Jan 13 accepted Given an algebraic curve $F(x,y)=0$, why do the partial derivatives of $F(x,y)$ being zero at a point imply the plane curve has a singularity? Jan 13 accepted Hidden Markov Model Coin Toss Problem Dec 17 accepted Do the singular matrices form a topological manifold Dec 9 accepted Show that if $z\in\mathbb{E}$ is a fixed point of $\phi\in \operatorname{Aut}(\mathbb{E})$, then so is $\frac{1}{\overline{z}}$ Dec 9 accepted Constructing a (smooth) diffeomorphism between non-smooth manifolds Dec 7 accepted Let $R$ be a Dedekind domain. If $I$,$J$ are $R$-ideals, prove that there exists an $\alpha\in I$ such that $\gcd(\langle\alpha\rangle,IJ)=I$ Dec 5 accepted Hedging a long position-one period Dec 5 accepted Clarification about differentiable manifolds Nov 12 accepted Given that $(X_n)_{n\geq 0}$ is a Markov Chain, prove that $(X_{kn})_{n\geq 0}$ is a Markov Chain Nov 12 accepted Function on convex set is convex if all rays are convex Nov 12 accepted Why doesn't $2\pi\int_{-1}^1\sqrt{1-x^2}dx$ give the surface area of a sphere of radius $1$? Nov 12 accepted Determining an Analytic Function from its Real Part Nov 12 accepted What can be said about $G$ non-abelian if $\mathbb{Z}_2\rightarrow G\rightarrow\mathbb{Z}_2^3$ and $Z(G)\cong\mathbb{Z}_2$? Nov 12 accepted The Process of Choosing Projective Axes to Put an Elliptic Curve into Weierstrass Normal Form Nov 12 accepted Prove that the sequence satisfying $a^{p^n}\equiv a^{p^{n-1}}$mod $p^n$ for $n\geq 1$, converges to the Teichmuller Representative Nov 12 accepted Let $\mathfrak{m}$ be maximal in $R$. Show that $\mathfrak{m}^n/\mathfrak{m}^{n+1}$ is an $R/\mathfrak{m}$-vector space for all $n\geq 0$ Nov 12 accepted Help me solve this recurrence relation Nov 12 accepted Understanding this Poisson Queueing Process Nov 12 accepted Manipulation of probability integrals