We address a problem of stochastic optimal control motivated by portfolio optimization in mathematical finance, the goal of which is to minimize the expected value of a general quadratic loss function of the wealth at close of trade when there is

Consider a system with K arms, arm $i$ yielding a payoff $X_{i}$, according to the distribution $P_{i}$.

A k-uniform hypergraph is defined to be q-rainbow colorable (q\leq k) if there exists a coloring of the vertex set with q colors such that every hyperedge contains all the q colors.

A well known fact is that there are polynomials of degree 2 (for instance, inner product, or elementary symmetric polynomials of degree 2), such that any representation of these as a sum of product of affine forms requires Omega(n) summands, where

The art gallery problem deals with determining the minimum number of guards (or cameras) that are sufficient to cover or see every point in the interior of an art gallery, assuming that the guards have 360° visibility and can see an unbounded dist