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 ...

Drug delivery technologies have the potential to enable drug candidates with poor pharmaceutical or biopharmaceutical properties, both for macromolecule and traditional compounds. While there have been many success stories to date, the future offers even more promise. In this article, the author surveys the top ten areas in drug delivery looking forward. William J. Lambert, PhD, is the senior v...

Present article deals with analysis of output characteristics in ZnO based Dye Sensitised Solar Cell (DSSC) using a Lambert W-function technique and MATLAB Simulation. We have used an analytical approach having no approximation for extracting various parameters of DSSC, a well known Lambert W-function technique. The model used in present work is single diode model including the capacitance in e...

Lambert et al. (2003) suggested that stereotyping could be thought of as automatic (implicit) responses that may become magnified in certain social settings through a loss of cognitive control. This type of explanation seems reasonable; however, to date, no attempts have been made to provide a more thorough, mechanistic (computational) explanation of the exact processes underlying the phenomeno...

Abstract. We give a polynomial-time algorithm of computing the classical Hurwitz numbers Hg,d, which were defined by Hurwitz 125 years ago. We show that the generating series of Hg,d for any fixed g > 2 lives in a certain subring of the ring of formal power series that we call the Lambert ring. We then define some analogous numbers appearing in enumerations of graphs, ribbon graphs, and in the ...