The present investigation concerns a disc of varying thickness of whose flexural stiffness varies with the radius according to the law = , where and are constants. The problem of finding boundary conditions for fastening this disc, which are inaccessible to direct observation, from the natural...

We propose a simple model of Multiplicative Linear Logic based on the category of bordisms. The latter category has recently become important in current mathematics due to developments in topological field theory. The model has an extremely intuitive geometric description. Dual multiplicative...

Necessary and sufficient conditions are obtained for bilateral weighted shifts to be near subnormal . As an application of the main results, some new answers to the Hilbert space problem 160 are presented at the end of the paper

In this paper we point out a trapezoid inequality for the Riemann-Stieltjes integral , where is of bounded variation on [] and is of —-Hölder type on [] . Applications to the approximation problem of Riemann-Stieltjes integrals in terms of Riemann-Stieltjes sums are also given

We consider an eigenvalue problem which includes a nonlinear Schrödinger equation on the half-line [0, ∞) and certain boundary conditions. It is shown that the spectrum of this problem fills a half-line and that to each point of the spectrum there corresponds a unique eigenfunction. The main...

The article describes an explicit approach to urn models of the balanced generalised Polya type (with two types of balls). The treatment starts obtaining the difference equations, describing the discrete time behaviour of the expectation value and of the variance of the extraction probability...

The problem of finding the fastening of the membrane from the natural frequencies is considered. The problem in question belongs to the class of inverse problems and completely natural problem of identification of the boundary conditions. The search for the unknown boundary conditions is...

The field of Reinforcement Learning, a sub-field of machine learning, represents an important direction for research in Artificial Intelligence, the way for improving an agent's behavior, given a certain feed-back about its performance. In this paper we propose an original interface for...

Group sequential tests are widely used for interim analyses in randomized clinical trials. These tests have been extended to bivariate outcomes, but calculation of boundary values is computationally intensive. In this paper, we compare 3 algorithms: 1) quasi-Monte Carlo; 2) Schervish's MULNOR;...