Episode #125 of the Stack Overflow podcast is here. We talk Tilde Club and mechanical keyboards. Listen now

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 6 In $S_{4}$, find a Sylow 2-subgroup and a Sylow 3-subgroup. 5 Prove an annulus is homeomorphic to a cylinder 5 Notation: $\mathbb{Z}[\sqrt{-5}]$ 4 $f$ defined $|f(x) - f(y)| \leq |x - y|^{1+ \alpha}$ Prove that $f$ is a constant. [duplicate] 3 Are the quaternions a domain?

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 2 Differentiability of a two variable function $f(x,y)=\dfrac{1}{1+x-y}$ 2 I am looking for some advice on how to calculate the answer to this probability calculation. 1 Distance from a point to empty set. 1 $A \subset X$ closed, $B \subset X$ closed. Prove that $A \times B$ is a closed subset of $X \times Y$. 1 Solving $\cos^2{\theta}-\sin{\theta} = 1$

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 3 probability × 3 1 vectors 2 multivariable-calculus 1 vector-spaces 1 general-topology × 10 1 combinatorics 1 proof-verification × 6 1 trigonometry 1 metric-spaces × 2 0 abstract-algebra × 8

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