We investigate the scattering theory of two particles in a generic $D$-dimensional space. For $s$-wave problem, by adopting an on-shell approximation for $T$-matrix equation, we derive analytical formulas which connect Fourier transform $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}(k)$ interaction potential to phase shift. In this way obtain explicit expressions low-momentum parameters ${\sta...

electronicimaging.org • Tel: +1 703 642 9090 • Fax: +1 703 642 9094 • [email protected] has been developed. In this system the total FOV is given by the number of channels along one axis multiplied with the sampling angle. In order to increase the image resolution for a fi xed FOV the sampling angle is made small. However, depending on the size of the acceptance angle, the FOVs of adjace...

We consider the waiting time (delay) W in a FCFS c{server queue with arrivals which are either renewal or governed by Neuts' Markovian arrival process, and (possibly heterogeneous) service time distributions of general phase{type Fi, with mi phases for the ith server. The distribution of W is then again phase{type, with m1 mc phases for the general heterogeneous renewal case and m + c ? 1 c pha...

In the 1920s, algebraic topology began to develop partially due to the need for new topological techniques in solving problems in xed point theory. Indeed, the celebrated Lefschetz xed point theorem is a far reaching generalization of the well-known Brouwer xed point theorem. The eld of topological xed point theory continued to ourish through the 1940s during which much of the foundations was l...

Financial trading is one of the most popular problems for reinforcement learning in recent years. One important challenges that investment a multi-objective problem. That is, professional investors do not act solely on expected profi t but also carefully consider potential risk given investment. To handle such challenge, previous studies have explored various kinds risk-sensitive rewards, examp...

The inequality Ffx;fy(qs) Fx;y(s) (s 0), where q 2 (0; 1), is generalized for multivalued mappings in many directions. Using Hausdor distance S.B. Nadler in [7] introduced a generalization of Banach contraction principle in metric spaces. In [3] the de nition of probabilistic Nadler q-contraction is given. Using some results given in [12] a xed point theorem on spaces with a convex structure is...

We study the Jeans mass-radius relation of Bose-Einstein condensate dark matter in Newtonian gravity. show at a general level that it is similar to core halos [, Phys. Rev. D 84, 043531 (2011)]. Bosons with repulsive self-interaction generically evolve from Thomas-Fermi regime noninteracting as Universe expands. In regime, radius remains approximately constant while mass decreases. increases an...

The nearest-neighbor level-spacing distributions are a fundamental quantity of disordered systems and classified into different universality classes. They the Wigner-Dyson Poisson functions for extended localized states in Hermitian systems, respectively. follow Ginibre non-Hermitian whose eigenvalues complex away from exceptional points (EPs). However, near EPs still unknown, corresponding ran...

The goal of this study was to develop pregelatinized starch (P-St) and polyvinyl alcohol (PVOH) fi lms as water-soluble laundry plastic bags avoid having contact with COVID-19 infected clothes by extrusion method. effects content on the properties were examined. PVOH P-St blend compounded twin- screw extruder various 0, 10, 20, 30, 40% weight xed glycerol 20 phr. produced blown lm extrusion. ch...

We prove the following theorem, which is an analog for discrete set functions of a geometric result of Lovász and Simonovits. Given two real-valued set functions f1, f2 defined on the subsets of a finite set S, satisfying ∑ X⊆S fi(X) 0 for i ∈ {1, 2}, there exists a positive multiplicative set function over S and two subsetsA,B ⊆ S such that for i ∈ {1, 2} (A)fi(A)+ (B)fi(B)+ (A∪B)fi(A∪ B) + (A...