### Questions (47)

 7 Cauchy's Theorem - Prove that $\sum_{n=1}^\infty \frac{1}{\lambda_{n}^2}$ = $\frac{1}{10}$ 4 How can I construct $\mathbb{S}^1$ in Homotopy Type Theory via pushouts? 4 Use complex substitution to evaluate integral 3 How many times must you roll a dice in order to be 99% sure that it is fair? [duplicate] 3 Show that if $\sum b_n$ is a rearrangement of a series $\sum a_n$ , and $a_n$ diverges to $\infty$, then $\sum b_n = \infty$

### Reputation (474)

 +5 Is the inverse of a continuous function , $f^{-1}(A)$ , of a measurable set A also measurable? +5 Show that if $\sum b_n$ is a rearrangement of a series $\sum a_n$ , and $a_n$ diverges to $\infty$, then $\sum b_n = \infty$ +20 How can I construct $\mathbb{S}^1$ in Homotopy Type Theory via pushouts? +5 Showing that a function converges in measure

 1 Normalizing the Simple (Quantum) Harmonic Oscillator for $n=2$ 1 Notation for derivatives: $u_{xx}$ versus $u''$ 0 Identifying numbers that have the same given HCF and LCM 0 Equally distribute range of numbers into x subsets of numbers. 0 What is my expectation in a lottery?

### Tags (49)

 1 ordinary-differential-equations × 4 1 integration 1 notation × 2 0 real-analysis × 20 1 derivatives 0 sequences-and-series × 12 1 physics 0 complex-analysis × 10 1 definite-integrals 0 uniform-convergence × 7

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