Nsanze, H; Lestringant, GG; Ameen, AM; Lambert, JM; Galadari, I; Usmani, MA.

In this paper, the realization-free model approximation problem, as stated in [1, 2], is revisited in the case where the interpolating model might be time-delay dependent. To this aim, the Loewner framework, initially settled for delay-free realization, is firstly generalized to the single delay case. Secondly, the (infinite) model approximation H2 optimality conditions are established through ...

We consolidate the zero-inflated Poisson model for count data with excess zeros (Lambert, 1992) and the two-component model approach for serial correlation among repeated observations (Dobbie and Welsh, 2001) for spatial count data. This concurrently addresses the problem of overdispersion and distinguishes zeros that arise due to random sampling from those that arise due to inherent characteri...

We generalize the so-called random assignment problem to a setting where we impose a polymatroid structure on the two vertex-sets of a complete bipartite graph, and ask for an edge set of prescribed size connecting independent sets. As an application, we show that under independent exponential edge-costs, the cost of the cheapest edge set covering all vertices of an n by n bipartite graph is as...

We remedy the under-appreciated role of the Lambert W function in convex analysis and optimization. We first discuss the role of little-known special functions in optimization and then illustrate the relevance of W in a series problem posed by Donald Knuth. We then provide a basic overview of the convex analysis of W and go on to explore its role in duality theory where it appears quite natural...

We study mirror symmetry for orbifold Hurwitz numbers. We show that the Laplace transform of orbifold Hurwitz numbers satisfy a differential recursion, which is then proved to be equivalent to the integral recursion of Eynard and Orantin with spectral curve given by the r-Lambert curve. We argue that the r-Lambert curve also arises in the infinite framing limit of orbifold Gromov-Witten theory ...

Abstract. The mathematical model of the mutual synchronization system with complete graph structure, composed of n (n ∈ N) oscillators, is investigated. This mathematical model is defined by the matrix differential equation with delayed argument. The solution of the matrix differential equation with delayed argument is obtained by applying the Lambert W function method. On the base of this solu...

We show that the Bagger-Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique. We apply the embedding tensor technique in order to systematically obtain the consistent gaugings of N = 8 superconformal theories in 2 + 1 dimensions. This leads to the Bagger-Lambert theory, with the embedding tensor p...

Among newly discovered M2, M5 objects in the Bagger-Lambert-Gustavsson theory, our interest is about 1 2 BPS vortices which are covariantly holomorphic curves in transverse coordinates. We restrict ourselves to the case where the global symmetry is broken to so(2) × so(2) × so(4) for the mass deformed Bagger-Lambert theory. A localized object with finite energy is existent in this theory where ...

In this article, a single application is suggested to determine the position of vehicles using Geographical Information Systems (GIS) and Geographical Position Systems (GPS). The part of the article material included mapping three dimensional coordinates to two dimensional coordinates using UTM or LAMBERT geographical methods, and the algorithm of conversion of GPS information into GIS maps is ...