In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz...
We consider the problem of finding two-dimensional cutting patterns for glass sheets in order to produce rectangular elements requested by customers. The number of needed sheets, ...
Abstract. The sentences of deontic logic may be understood as describing what an agent ought to do when faced with a given set of norms. If these norms come into conflict, the bes...
Abstract. A formula ψ(Y ) is a selector for a formula ϕ(Y ) in a structure M if there exists a unique Y that satisfies ψ in M and this Y also satisfies ϕ. A formula ψ(X, Y )...
In transmission, storaging and coding of digital signals we frequently perform A/D conversion using quantization. In this paper we study the maxiaml and mean square errors as a res...