# Andrew Ledesma

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A lowly physics student who sometimes tries to math.

# 15 Questions

 4 Explicitly writing out a differential 2-form 4 Group Actions of $S_n$ and $O(n)$ 3 $\int_{-\infty}^{+\infty}dx\frac{x\cos(xt)}{e^{ax}-e^{-ax}}$ 3 Complicated integral, where $\int\coth(x)dx$ is somehow written in terms of $\int |x|e^{ix}dx$ 2 Proving Brownian Motion has Stationary Increments

# 185 Reputation

 +10 An upper bound $u$ is the supremum of $A$ if and only if for all $\epsilon > 0$ there is an $a \in A$ such that $u-\epsilon < a$ +20 Find the complex function f(z) given the following properties +5 $E[e_te_s\Delta B_t\Delta B_s]$ for $\Delta B_t$ Brownian motion increments and $e_t(\omega)$ a measurable function. +5 Recognising that $\sum_{n=0}^\infty \frac{a^2-b^2(2n+1)^2}{(a^2+b^2(2n+1)^2)^2}=-\frac{\pi^2\mathrm{sech}^2\left(\frac{a\pi}{2b}\right)}{8b^2}$

 2 Find the complex function f(z) given the following properties 1 An upper bound $u$ is the supremum of $A$ if and only if for all $\epsilon > 0$ there is an $a \in A$ such that $u-\epsilon < a$ 0 What is the image of this mobius transformation 0 Stitching two analytic functions? 0 Finding a Counter Example - Limits of integrals of an increasing sequence of Borel measurable functions

# 34 Tags

 2 complex-analysis × 3 1 supremum-and-infimum 1 real-analysis × 2 0 group-theory × 6 1 real-numbers 0 integration × 4 1 proof-verification 0 probability-theory × 3 1 proof-writing 0 symplectic-linear-algebra × 2

# 5 Accounts

 Mathematics 185 rep 10 Physics 110 rep 7 Mathematica 33 rep 4 Stack Overflow 1 rep Chemistry 1 rep