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Consider the following fragments from Murphy's "$C^*$-algebras and operator theory": In the above proof of theorem 2.4.5., how does theorem 1.4.11 imply that the...
Asked on 12/18/2021
1 answerGiven S = [0,1] and another set as R = {$$sum_{1}^{infty} frac{a_i}{10^i} $$ } where $$a_1 in {0,1,2,...,9}$$. Also the set R - {$$sum_{1}^{infty} frac{a_i}{2^i} $$ }...
Asked on 12/18/2021
1 answerI have a function like the following, $pleft( y right) = intlimits_x {intlimits_z {(Q({x^2} + y) + yz + z)dxdz} } $ Where, $Q(x) = frac{1}{{2pi }}intlimits_x^infty ...
Asked on 12/18/2021
0 answerGiven an ordered set of points $P = (p_1, p_2, cdots, p_n)$, where $p_i in R^d$. The prefix sum set $S$ of $P$ is defined as...
Asked on 12/18/2021
0 answerI would like to rewrite the following expression $$begin{align}frac{1}{sigma_{theta}^{2}}sum_{i=1}^{I}(theta_{i}-mu)^{2} + frac{1}{sigma_{0}^{2}}(mu-mu_{0})^{2}end{align}$$ as a square with respect to $mu$. I do not know how to...
Asked on 12/18/2021 by SimpleProgrammer
0 answerIn my practice midterm there is a multiple choice question that I thought was relatively straight forward but the solutions gave an answer that was unexpected to me. Question: If...
Asked on 12/18/2021
2 answerLet $h:mathbb R^m to mathbb R$ be a convex diifferentiable function and define $C_h := {x in mathbb R^m mid h(x) = 0}$, assumed to be non-empty.Question. Given...
Asked on 12/18/2021
1 answerIn one Physics paper several times one encounters a limit of the following form $$lim_{Lto infty}int_0^pi e^{pm iomega L(frac{pi}{2}-tau)}int_{S^2} varepsilon(hat{x})f(tau,hat{x})dtau d^2hat{x}.$$ The integral over $S^2$...
Asked on 12/18/2021
0 answerI am studying Hrbacek and Jech's Introduction To Set Theory (3rd Ed), and on Section 3.4 there is the following problem: For each finite sequence of natural numbers $langle...
Asked on 12/18/2021
0 answerSince optimization problems with linear equality constraints can be converted into an unconstrained problem this should apply for linear programs in standard form, right? But doesn't this mean that the...
Asked on 12/18/2021 by oh-nahh
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