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In the present article we give geometric generalizations of the estimates from Chapters 5,6,7 from [4], while extending their sharpness to new cases.
function is a function which estimates what resulting value Two-person, perfect information, constant sum games have been studied in Artificial Intelligence. This paper opens up the issue of playing n-person games and proposes a procedure for constant sum or non-constant sum games. It is proved that a procedure, max”, locates an equilibrium point given the entire game tree. The minimax procedur...
We propose two algorithms involving the relaxation of either the given Dirichlet data or the prescribed Neumann data on the over-specified boundary, in the case of the alternating iterative algorithm of Kozlov, Maz′ya and Fomin (1991) applied to Cauchy problems for the modified Helmholtz equation. A convergence proof of these relaxation methods is given, along with a stopping criterion. The num...
We show by advanced electronic structure calculations that ${\mathrm{NbO}}_{2}$ essentially is a Peierls-type material. After simulating the rutile as well body-centered tetragonal phase with Bethe-Salpeter equation, we are able to reproduce experimental values for properties without adding correlations. Our calculation includes only excitonic corrections and no further interactions. The princi...
MiR-34a acts as a candidate tumour suppressor gene, and its expression is reduced in several cancer types. We aimed to study miR-34a expression in breast cancer and its correlation with tumour characteristics and clinical outcome, and regulatory links with other genes. We analysed miR-34a expression in 1,172 breast tumours on TMAs. 25% of the tumours showed high, 43% medium and 32% low expressi...
Let X be a (real or complex) Banach space, its dual Banach space will be denoted by X *. We use standard notation and terminology of Banach space theory, see J.Lindenstrauss and L.Tzafriri [LT]. By a subspace we mean a linear, but not necessarily closed, subspace. We also assume some knowledge of general topology and ordinal numbers, see P.S.Aleksandrov[A]. Definition 1.1. Let A be a subset of ...
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