### Questions (20)

 12 Biggest Circle you can fit in a Hypercube 6 $\frac{dx}{dt}, \frac{dx}{d\frac{dx}{dt}}, \frac{dx}{d\frac{dx}{d\frac{dx}{dt}}}$ ad infinitum to $\sqrt{2x}$ 4 Radon Nikodym derivative $\frac{\mathrm d(fλ)}{\mathrm d(gλ)}$ 4 Geometric series convergence in the p-adic numbers 3 Separable $X^* \implies$ bounded $\{x_n\} \in X$ have subsequence st. $\lim_{k \to \infty}f(x_{n_k})$ exists $\forall f \in X^*$

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 2 Hamiltonian Path on Cubic Graphs, and whether closed triangle meshes are triangle strips 2 Prove that any interval is measurable. 2 function from $\mathbb{R}^2 \to \mathbb{R}^3$ 1 Natural logarithmic function properties 0 Let $\mu,\ \nu$ be measures, $\mu\ll\nu$ and $\nu\ll \mu$. Show that $\frac{d\mu}{d\nu} = (\frac{d\nu}{d\mu})^{-1}$.

### Tags (32)

 2 measure-theory × 7 1 trigonometry 2 geometry × 3 1 logarithms 2 graph-theory × 2 1 algebra-precalculus 2 hamiltonian-path × 2 0 functional-analysis × 5 2 proof-verification 0 real-analysis × 4

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