In this paper we study the L − L boundedness of the extension operators associated with paraboloids in Fq , where Fq is a finite field of q elements. In even dimensions d ≥ 4, we estimate the number of additive quadruples in the subset E of the paraboloids, that is the number of quadruples (x, y, z, w) ∈ E with x + y = z + w. As a result, in higher even dimensions, we obtain the sharp range of ...

We simulate open clusters containing up to 182 stars initially in the form of singles, binaries and triples. Due to the high interaction rate a large number of stable quadruples, quintuples, sextuples, and higher-order hierarchies form during the course of the simulations. For our choice of initial conditions, the formation rate of quadruple systems after about 2 Myr is roughly constant with ti...

We show that a set of three axioms, together with modus ponens, suffices to build up a formal system for the class R of all quadruples (L,6,T,J), in which (L,6) is a partially ordered set with a top element, and T is a triangular norm on (L,6) that has a residuated implication J. We show that this R is not a variety. 2004 Elsevier Inc. All rights reserved.

This paper considers a fundamental problem in visual motion perception, namely the problem of egomotion estimation based on visual input. Many of the existing techniques for solving this problem rely on restrictive assumptions regarding the observer’s motion or even the scene structure. Moreover, they often resort to searching the high dimensional space of possible solutions, a strategy which m...

Abstract Mergers of black holes (BHs) and neutron stars (NSs) result in the emission gravitational waves that can be detected by LIGO. In this paper, we look at 2+2 3+1 quadruple-star systems, which are common among massive stars, progenitors BHs NSs. We carry out a detailed population synthesis quadruple systems using Multiple Stellar Evolution code, seamlessly takes into consideration stellar...