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Diagonal — is a line that connects 2 opposite verticesBut for a parallelogram and a parallelepiped definitions of opposite vertices are different.Opposite vertices of a parallelogram — two vertices that...
Asked on 02/13/2021 by return
0 answerI have been recently reading about clustering validation and came upon the silhouette coefficient, represented by the following formula. Everywhere...
Asked on 02/13/2021 by TheObands
1 answerLet $S$ be the set of all unbounded (infinite) real sequences. What is the measure of: the subset $A=$ {sequences that have a convergent subsequence}? I have a...
Asked on 02/13/2021 by Adam Rubinson
1 answerThis is exercise 11, Chapter 6 in Baby Rudin:Let $alpha$ be a fixed increasing function on $[a, b]$. For $u in mathscr{R}(alpha)$, define$$ lVert u...
Asked on 02/13/2021
1 answerFor context, this problem arose when I was trying to prove convergence rate bounds for convex optimization algorithms. Let $f: mathcal{X} to mathbb{R}$, where $mathcal{X} subset mathbb{R}^n$ is...
Asked on 02/13/2021 by durdi
0 answerIn this post, the following simplification was made:$$2pi isum_klim_{xto ia_k}(x-ia_k)frac{x^2e^{itx}}{prod_j(x^2+a_j^2)}\=-pisum_ke^{-ta_k}a_ksum_{jneq k}frac1{a_j^2-a_k^2}.$$ What I have done is the following, but am unsure why it is wrong:...
Asked on 02/13/2021 by user859358
1 answerLet $ (X_t) $ be a stochastic process, and define a new stochastic process by $ Y_t = int_0^t f(X_s) ds $. Is it true in general that $ frac{d}...
Asked on 02/13/2021
2 answerIf it is given that: "People that ride buses, also ride planes"then is the statement "people that don't ride planes, also don't ride buses"necessarily true? I don't think so, but...
Asked on 02/13/2021 by user3801230
3 answerHere is the well known theorem, "For planar graph $G$, if $vgeq3$ then $eleq 3(v-2)$" I've reviewed my discrete mathematics note, suddenly the question crossed my mind....
Asked on 02/13/2021
1 answerProve that for every integer $m geq 2$, if there is no prime number $p$ such that $p leq sqrt{m}$ and $p mid m$ (evenly divides),...
Asked on 02/13/2021 by Lorenza Fuller
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