I constructed a projected gradient descent (ascent) algorithm with backtracking line search based on the book "Convex optimization," written by Stephen Boyd and Lieven Vandenberghe. The problem what I consider and the pseudocode to solve it is presented as follows: \begin{array}{cl} \text{maximize}
I am trying to prove it is true for all $k \in \mathbb N \,\backslash\,{\{1}\}$ that: $$\Biggl\lfloor \ln \left( \frac{1}{k^{n}} \right) \Biggr\rfloor-\Biggl\lfloor \ln \left( \frac{1}{k^{n+1}} \right) \Biggr\rfloor=\cases{m_{{i}}&$n \in\mathfrak{B} \left( \alpha_{{k}} \right) $\cr m_{...
Proposal: Make division-ring a synonym of division-algebras. I don't think there is much difference. We can argue whether a division algebra is always associative or not. I wrote the tag wiki with octonions in mind, and phrased it "inclusively". A division-ring is surely always associative, but d...
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