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 Jul2 awarded Curious Jun24 comment What is the maximum of a set of random variables? @Dominik Just to make sure - a random variable is uniformly distributed in $[a,b]$ if it is linear in $[a,b]$ and constant $0$ otherwise, and $Y_i$ is still uniformly distributed in $[0,2\vartheta]$ because you just changed the slope, not the fact that it's linear in $[0,2\vartheta]$? Jun23 comment What is the maximum of a set of random variables? I thought I had gotten it for a sec, but... why is the EV the same for $\max X_i$ and $\max Y_i$ again? Jun23 comment What is the maximum of a set of random variables? I get it, but I can't quite imagine how you'd get the idea for this - did you start form the assumption that it's $2\theta$ and worked backwards from there? Jun23 accepted What is the maximum of a set of random variables? Jun23 comment What is the maximum of a set of random variables? wikipedia said expected value and mean mean the same thing, changed it though. Jun23 revised What is the maximum of a set of random variables? added 10 characters in body Jun23 comment What is the maximum of a set of random variables? Oh. That makes sense. Not sure how to work with that, but at least I know where to start now. Jun23 asked What is the maximum of a set of random variables? Nov29 accepted Proving that idempotence follows from other lattice axioms Nov29 comment Proving that idempotence follows from other lattice axioms You gotta love how these things always seem so stupidly obvious once someone tells you. Nov28 asked Proving that idempotence follows from other lattice axioms Jul2 accepted Solving $y'' - \frac{1}{x} y' + (1+\frac{\cot x}{x}) y = 0$ by rank reduction Jul1 comment Solving $y'' - \frac{1}{x} y' + (1+\frac{\cot x}{x}) y = 0$ by rank reduction Thanks. As it turns out, that was my solution, I just made an error copying it over. Jul1 comment Solving $y'' - \frac{1}{x} y' + (1+\frac{\cot x}{x}) y = 0$ by rank reduction I get $y''(x) = -\sin(x) \int_0^x u(t) dt + \cos(x) u(x) + \cos(x) u(x) + \sin(x) u'(x)$ - I have no idea where you got the '-' in front of the second cos from. $cx^2\sin x$ can't be the solution because $\sin x$ is a solution. Jul1 asked Solving $y'' - \frac{1}{x} y' + (1+\frac{\cot x}{x}) y = 0$ by rank reduction Jun19 revised Does a closed form sum for this fourier series exist? added 202 characters in body Jun19 accepted Does a closed form sum for this fourier series exist? Jun19 comment Does a closed form sum for this fourier series exist? Yep, as it turns out my fourier series was wrong (again). It should have been $\frac{(a+b)(-1)^{n+1}}{n}$ where it says b-a in the series (I missed a '-' in the scalar product). Yeah, but I don't think I'm gonna include a closed form for the sum in my homework after all - what you just said is a little over my head, we just briefly touched fourier series in 2 or 3 classes and then went on to the next topic. Jun19 comment Does a closed form sum for this fourier series exist? I guess that makes sense, except I have no idea how to prove these sums either. Do you happen to know what causes my problem with (a=b)?