# catamite

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210
bio website reddit.com/r/… location meatspace age member for 1 year, 11 months seen 1 hour ago profile views 1,027

when someone smiles at me, all I see is an ape bearing its teethe

# 111 Questions

 9 Prove or Disprove that $\left|\frac{e^{2i\theta} -2e^{i\theta} - 1}{e^{2i\theta} + 2e^{i\theta} -1}\right| = 1$ 7 Show bounded harmonic function on $\mathbb{C}$ is constant. 7 Trying to prove $\frac{2}{n+\frac{1}{2}} \leq \int_{1/(n+1)}^{1/n}\sqrt{1+(\sin(\frac{\pi}{t}) -\frac{\pi}{t}\cos(\frac{\pi}{t}))^2}dt$ 7 What Topology does a Straight Line in the Plane Inherit as a Subspace of $\mathbb{R_l} \times \mathbb{R}$ and of $\mathbb{R_l} \times \mathbb{R_l}$ 7 Is it Possible to have Two Distinct Analytic Functions with the Same Real Part?

# 1,595 Reputation

 +10 Prove the set of sequences $c_0$ which converge to zero in $l_{\infty}$ is closed. +5 Show that if $z\in\mathbb{E}$ is a fixed point of $\phi\in \operatorname{Aut}(\mathbb{E})$, then so is $\frac{1}{\overline{z}}$ +5 Let $F(x,y)=1$ for $x+y\ge 0$ and be zero otherwise. Show that $F$ cannot possibly be the joint distribution function of a pair of random variables. +5 Why isn't the Ito integral just the Riemann-Stieltjes integral?

 4 Let $M$ be a maximal ideal in $R$ such that for all $x\in M$, $x+1$ is a unit. Show that $R$ is a local ring with maximal ideal $M$ 3 Accidents of small $n$ 2 Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$ 1 Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$ 0 Showing that $f(x)=x\sin (1/x)$ is not absolutely continuous on $[0,1]$

# 83 Tags

 4 abstract-algebra × 18 2 homework × 10 4 commutative-algebra × 3 1 residue-calculus × 3 3 complex-analysis × 28 0 real-analysis × 15 3 examples-counterexamples × 2 0 measure-theory × 12 3 big-list 0 probability × 10

# 13 Accounts

 Mathematics 1,595 rep 210 Academia 276 rep 16 Cryptography 153 rep 4 Programmers 127 rep 3 Stack Overflow 123 rep 4