Fredholm determinant asymptotics of convolution operators on large finite intervals with rational symbols having real zeros are studied. The explicit asymptotic formulae obtained can be considered as a direct extension of the Ahiezer-Kac formula to symbols with real zeros.

We present an explicit method to evaluate the nonnegativity of order 3 Matrix exponential functions.

Colour symmetries with ten colours are presented for different tilings. In many cases, the existence of these colourings were predicted by group theoretical methods. Only in a few cases explicit constructions were known, sometimes using combination of two-colour and five-colour symmetries. Here we present explicit constructions of several of the predicted colourings for the first time, and disc...

Space is one of the resources that may cause crucial problems during construction. Discrete event simulation has been widely used in construction to allocate resources and improve productivity or mitigate conflicts. However, simulation research that provides an explicit method to investigate possible space conflicts is still limited. This paper suggests a cell-based modeling approach to represe...

We present a general scheme for describing ŝu(N)k fusion rules in terms of elementary couplings, using Berenstein-Zelevinsky triangles. A fusion coupling is characterized by its corresponding tensor product coupling (i.e. its Berenstein-Zelevinsky triangle) and the threshold level at which it first appears. We show that a closed expression for this threshold level is encoded in the Berenstein-Z...

Exploring agent conversation in the context of ne grained agent coordination research has raised several intellectual questions The major issues pertain to interactions between di erent agent conversations the representations chosen for di erent classes of conversations the explicit modeling of interactions between the conversations and how to address these interactions This paper is not so amb...

In this paper we are concerned with the degree to which modeling languages explicitly accommodate conceptual distinctions. Such distinctions refer to the precision and nuance with which a given modeling concept in a language can be interpreted (e.g., can an actor be a human, an abstraction, or a collection of things). We start by elaborating on the notion of conceptual distinctions, while also ...

Congestion control for streaming real-time applications, which need smoothness of the transmission rate, should be transmission control protocol (TCP)-friendly. Moreover, in wireless networks, TCP-friendly congestion control should be based on differentiation of packet losses due to congestion and wireless link error to improve network utilisation. The authors propose a TCP-friendly congestion ...

Abstract A generalization of the Lomax distribution so-called the transmuted Lomax distribution is proposed and studied. Various structural properties including explicit expressions for the moments, quantiles, and mean deviations of the new distribution are derived. The estimation of the model parameters is performed by maximum likelihood method. We hope that the new distribution proposed here ...

In a dynamic world where the steadily increasing demand for up-to-date geodata drives the continuous acquisition of three-dimensional (3D) data, appropriate systems for managing and analyzing the resulting data become more and more important. Efficient solutions for handling multiple representations and data heterogeneity are of special significance. Existing geoinformation systems are still no...