# Bruno Stonek

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bio website bruno.stonek.com location Montevideo, Uruguay age 25 member for 3 years, 11 months seen 1 hour ago profile views 1,975

Math student at Université Paris 13.

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 Aug6 awarded Good Question Aug4 comment What's the “geometry” in “geometric multiplicity”? Well, an eigenspace is a vector subspace, so if the geometric multiplicity is 1 then it is a line through the origin, if it is 2 then it is a plane through the origin, etc. This is just a wild guess, but it seems plausible that the name might come from this interpretation. Aug3 comment Euler's Constant: The asymptotic behavior of $\left(\sum\limits_{j=1}^{N} \frac{1}{j}\right) - \log(N)$ @DJC: I think it is a bit shocking to use displaystyle in the title. Aug3 revised Normal closure of a radical extension is radical edited for clarification on what is asked Aug3 comment Normal closure of a radical extension is radical I must say I'm a bit surprised by the lack of answers to this question. It shouldn't take too long to answer for somebody comfortable with Galois theory. Aug1 revised Normal closure of a radical extension is radical edited tags Jul31 comment Normal closure of a radical extension is radical @Dylan: What puzzles me is that if all the details I wrote out are necessary, then I think the author should have been a bit more verbose on the proof... Jul31 asked Normal closure of a radical extension is radical Jul28 comment Bernoulli's representation of Euler's number, i.e $e=\lim \limits_{x\to \infty} \left(1+\frac{1}{x}\right)^x$ Jul27 comment What does “formal” mean? It should be noted that the first sense includes a really vast spectrum of degrees of formality. The way I see it, it includes usual textbook proofs (e.g. Folland's proof of Radon-Nikodým theorem is 'formal'), and 'logically' formal proofs, as in en.wikipedia.org/wiki/Formal_proof , which also serves as input for automated proof checking. Jul26 comment For what functions does $\int_{-\infty}^{\infty}x \sin(f(x))\,dx$ converge? If the function is differentiable, "grows fast enough" seems to imply some condition on $\lim_{x\to \infty} f'(x)$. Jul26 awarded Nice Question Jul20 comment Reference request: is mathematics discovered or created? FWIW, I ended up writing the essay on something else (also math-related, though); so for those who were reluctant to throw out some ideas, be at ease: the answers and comments "only" contributed to my knowledge of these profoundly interesting matters. Jul19 comment Interpretation of a formula and truth @Kaveh: thank you for your comments, I think I understand this better now. Jul18 comment Interpretation of a formula and truth I understand. Still, I'm not fully convinced of why this is meaningful. Jul18 comment A simple question about sine and cosine $sin(z)= \frac{e^{iz}-e^{-iz}}{2i}$ for complex $z$ is the first that comes to mind. There are others, see en.wikipedia.org/wiki/Sine for a continued fraction expression for example. Also, I remember Apostol defining sine and cosine in his Calculus by some fundamental properties... Jul18 revised Interpretation of a formula and truth edited tags Jul17 comment Interpretation of a formula and truth @André: But if in the end I just have to think as $\mathbb{N}$ as something "intuitive" and $0\cdot n=0$ as an intuitive truth, why then care for any formalism at all? Jul17 comment Interpretation of a formula and truth @Zev: great, thanks! This is a bug that should be reported, actually. Jul17 accepted Models of hyperbolic geometry