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| bio | website | |
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| location | ||
| age | ||
| visits | member for | 2 years, 9 months |
| seen | 8 hours ago | |
| stats | profile views | 291 |
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Sep 15 |
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Historical basis and mathematical significance of Riemann surfaces Right. IMO for those who are interested in quick applications of the Abel-Jacobi theorem and are not prepared/motivated to study homology and cohomology theories, a classical exposition of the theory might work just fine. |
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Sep 15 |
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Historical basis and mathematical significance of Riemann surfaces What is the existing way of presenting the theory of Riemann surfaces? Thanks. |
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May 10 |
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Immunization and Sensitivity Analysis You are likely to get some answers on the sister StackExchange site devoted to Quantitative Finance: quant.stackexchange.com |
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May 10 |
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Black Scholes PDE and its many solutions You are likely to get more answers on the sister StackExchange site devoted to Quantitative Finance: quant.stackexchange.com |
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Mar 31 |
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Stochastic/finance monte carlo question You may want to consider reposting your question on quant.stackexchange.com which is specifically devoted to Quantitative Finance. |
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Feb 8 |
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Are continuous self-bijections of connected spaces homeomorphisms? There is a thread on Mathoverflow devoted to a similar question: mathoverflow.net/questions/30661/… |
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Jan 1 |
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How can I find the derivative of $y = \ln [\ln(\ln(x^2 +1))]$? Are you familiar with the chain rule? |
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Dec 27 |
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Axiom of Choice Examples @Jason DeVito: I have checked this experimentally. |
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Dec 27 |
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Volumes of n-balls: what is so special about n=5? Yes, this is an analytic argument I referred to implicitly. I'd like to know if there is any geometry behind that. |
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Dec 27 |
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Volumes of n-balls: what is so special about n=5? Well, for an $n$-dimensional ball of radius $R$ we can consider the ratio $$\frac{V_n(R)}{R^n}.$$ This is a "dimensionless" quantity. |
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Dec 14 |
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Constructing a Cantor-like set by subtracting closed intervals Alternatively, the measure of the set will not depend on whether you subtract closed or open intervals since the difference is a countable sequence of endpoints, i.e. a measure zero set. |
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Dec 14 |
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Constructing a Cantor-like set by subtracting closed intervals You will end up with a set of measure $1-\alpha$ because the Lebesgue measure is $\sigma$-additive (countably additive). |
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Dec 11 |
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Domain of the Gamma function $t^{z-1}e^{-t}$ has a non-integrable singularity at $t=0$ when $\Re z\leq 0$. |
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Dec 9 |
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An orthonormal set cannot be a basis in an infinite dimension vector space? Thanks to everyone for the comments. I implicitly assumed that the space is complete. |
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Dec 8 |
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Proving that the sequence $F_{n}(x)=\sum\limits_{k=1}^{n} \frac{\sin{kx}}{k}$ is boundedly convergent on $\mathbb{R}$ The argument works for $x\neq 2\pi m$. |
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Dec 7 |
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Proof for an integral involving sinc function @J. M.: Thank you for linking to the paper. |
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Dec 7 |
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Doubts on Mutually exclusive and Independent events The events are independent but not mutually exclusive. |
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Dec 7 |
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Proof for an integral involving sinc function @Raskolnikov: Stand corrected, thanks! |
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Nov 21 |
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Proving $\int_{0}^{+\infty} e^{-x^2} dx = \frac{\sqrt \pi}{2}$ @ J. M.: That's it! Thanks. |
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Nov 9 |
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Suggesting closed-form representations of mathematical constants by means of experimental mathematics? @Max Muller: You're welcome. |
