Approximate analytical solution of simplified Navier-Stokes and Fourier-Kirchhoff equations describing free convective heat transfer from isothermal surface of horizontal conic of the base angle is presented. The solution is based on typical for natural convection assumption that normal to the...

Some new suɶcient conditions for oscillation of the parabolic differential equations with positive and negative coeɶcients and deviating arguments are given. These results extend and improve the well known results of oscillation. Example is interested in the text to illustrate the relevance of...

This paper deals with the existence of geodesics joining two given submanifolds in a static Lorentzian manifold. A suitable variational approach and growth conditions on the coe cients of the metric allow to use the classical Ljusternik–Schnirelman theory

As a measure of error in testing multiple hypotheses, the decisive false discovery rate (dFDR), the ratio of the expected number of false discoveries to the expected total number of discoveries, has advantages over the false discovery rate (FDR) and positive FDR (pFDR). The dFDR can be optimized...

In this note, necessary and sufficient conditions are obtained for unilateral weighted shifts to be near subnormal. As an application of the main results, many answers to the Hilbert space problem 160 are presented at the end of the paper

This article explores the ck=ak+bk equation, where k belongs to R/{0}. The angle opposite to side c is obtuse for k belongs to [1;2), right for k=2 (Pythagorean theorem), and acute for other k-s. Though the k number exists, it can be determined analytically only in case of an isosceles triangle

We present the concept of a universal contingent claim introduced by the author in 1995. This concept provides a unified framework for the analysis of a wide class of financial derivatives.A universal contingent claim describes the time evolution of a contingent payoff. In the simplest case of a...