# Tagged Questions

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### Maximizing an integral over a convex region

Let $C$ denote a compact, convex region in the plane containing the origin with unit area, and let $f$ be a probability distribution on $C$. Let $f^\ast$ denote the distribution that maximizes the ...
Hi, What is the maximum of the following function?: $f(x_i,w_i)=\frac { \sum w_i}{ \sum \frac {w_i}{x_i} } - \frac{ 1 - \prod \left ( 1 - w_{i}\right )}{ 1 - \prod \left ( 1 - \frac{w_{i}}{ ... 2answers 309 views ### Entropy conjecture for distributions over$\mathbb{Z}_n$Suppose we have two independent random variables$X$(with distribution$p_X$) and$Y$(with distribution$p_Y$) which take values in the cyclic group$\mathbb{Z}_n$. Let$Z = X +Y$, where the ... 0answers 216 views ### Maximise$L^q$norm of a vector, for fixed$L^1$and fixed$L^p$norms [closed] Consider a vector$x \in \mathbb R_+^n$and$p,q \in \mathbb R$such that$1 < p < q$We fix$\sum \limits_{i=1}^{n}|x_i| = 1$and$ \left(\sum \limits_{i=1}^{n}|x_i|^p \right)^\frac{1}{p} = ...
For Linear complementarity problems (LCP) like $\mathbf{Mz}+\mathbf{q} \ge \mathbf{0}$ $\mathbf{z} \ge \mathbf{0}$ $\mathbf{z}^{\mathrm{T}}(\mathbf{Mz}+\mathbf{q}) = 0$ there exists a vast amount ...