Ever since the early 1980’s, computer scientists have been using an algorithm named "Summed Area Table", also known as "Integral Image". This algorithm was shown to provide a tremendous computational gain, since it fits precisely to the needs of discrete geometry researchers, due to its discrete nature. It was first introduced in 1984 by Crow, and was reintroduced to the computer vision communi...

let h be an infinite--dimensional hilbert space and k(h) be the set of all compact operators on h. we will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher jordan derivation on k(h) associated with the following cauchy-jencen type functional equation 2f(frac{t+s}{2}+r)=f(t)+f(s)+2f(r) for all t,s,rin k(h).

The level 1 highest weight modules of the quantum affine algebra Uq(ŝln) can be described as spaces of certain semi-infinite wedges. Using a q-antisymmetrization procedure, these semi-infinite wedges can be realized inside an infinite tensor product of evaluation modules. This realization gives rise to simple descriptions of vertex operators and (up to a scalar function) their compositions. 1 R...

In this paper, we consider the asymptotic behavior (as t→∞) of solutions as an initial boundary value problem for a second-order hyperbolic equation with periodic coefficients on semi-axis (x>0). The main approach to studying under consideration is based spectral theory differential operators, well properties spectrum (σ(H0)) one-dimensional Schrödinger operator H0 p(x) and q(x).

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

Let (A n) n∈N be a sequence of stationary topical (i.e. isotone and ad-ditively homogeneous) operators. Let x(n, x 0) be defined by x(0, x 0) = x 0 and x(n + 1, x 0) = A n x(n, x 0). This can modelize a wide range of systems including, train or queuing networks, job-shop, timed digital circuits or parallel processing systems. When (A n) n∈N has the memory loss property, (x(n, x 0)) n∈N satisfy ...

Several papers, mainly written by J. de la Call and co-authors, contain modifications of classical sequences positive linear operators to obtain new converging limits which are not necessarily the identity operator. Such results were obtained using probabilistic methods. Recently, this type have been with analytic Semi-exponential also introduced, extending theory exponential operators. We comb...

Background: Emergency operators are responsible for determining the nature of callers' problems, responding to them, and dispatching an appropriate rescue team. In addition, they provide instructions on cardiopulmonary resuscitation, bleeding control, airway management, and other life-saving procedures. Emergency operators are often faced with difficult situations. This study aims to highlight ...