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Let's say we are given an integral $$int_{-infty}^{infty} f(x)g(x)dx$$ (Notation is Riemannian but we can see this as Lebesgue integral.) Sometimes it's convenient for us to see this as...
Asked on 11/26/2021
0 answerGiven a positive definite symmetric matrix $A$ of size $n times n$ where $n$ is even, with known eigen values and eigen vectors, what can we say...
Asked on 11/26/2021
0 answerSuppose we take for example the smallest number strictly greater than 0 (which in the conventional real number system realm doesn't exist but in some other number systems does (e.g...
Asked on 11/26/2021 by user403504
1 answerI have the following problem. Let $A$ be the set of rational numbers which have the form ${dfrac{k}{2^n}}$ for some $ k in mathbb{Z} $ and ...
Asked on 11/26/2021 by npdfe
1 answerI'm reading a complex analysis book. In this book, the author establishes the following statementIf $a,b in mathbb{C}$, then $|a + b| = |a| + |b| iff...
Asked on 11/26/2021
4 answerSo I thought the cleanest way to do this was to simply prove $G' = 1$ since if $G$ is cyclic $G' = 1$ and then ...
Asked on 11/26/2021
3 answerI want to split $ J= int_0^{infty} e^{ik_ax}f(x) dx$ into a real and imaginary part as follows: $ J= int_0^{infty} e^{ik_ax}f(x) dx = frac{1}{2} widetilde{f}(k_a) +frac{1}{2pi i}...
Asked on 11/26/2021
0 answerI guess it's because, for example, when $Omega=mathbb{R}$ (denote its size as $|mathbb{R}|$), its power set would be too large, with its size equals $2^{|mathbb{R}|}$, and though...
Asked on 11/26/2021
0 answerSorry, but in order to ask the question, you will have to view this videohttp://drorbn.net/dbnvp/AKT-140314.php.Here a topological proof for the unsolvability of the quintic is...
Asked on 11/26/2021
1 answerBelow is a proof on approximating stochastic integrals for mean-square continuous processes in René Schilling's Brownian Motion. My question is: How do we get the last convergence to $0$...
Asked on 11/26/2021
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