QED radiative corrections for elastic e(mu)p scattering in hadronic variables

A numerical analysis of QED radiative corrections for elastic e(mu)p cattering in hadronic variables at energies of the current experiment at JLab is performed. The explicit formulas from the review of Akhundov et al. resulting from the integration over the phase space of leptonic variables plus photon are used to obtain the values of the cross sections and the radiative correction factor for unpolarized lepton-proton scattering. Our numerical results agree with the corresponding results arising from the formulas of Afanasev et al.Comment: 4 Pages, 4 figure

Some inverse problems for strong parabolic systems

The questions of well-posedness and approximate solution of inverse problems of finding unknown functions on the right-hand side of a system of parabolic equations are investigated. For the problems considered, theorems on the existence, uniqueness, and stability of a solution are proved and examples that show the exactness of the established theorems are given. Moreover, on the set of well-posedness, the rate of convergence of the method of successive approximations suggested for the approximate solution of the given problems is estimated.Досліджено коректність та наближене розв'язування обернених задач визначення невідомих функцій у правій частині системи параболічних рівнянь. Для цих задач доведено теореми єдиності, існування та стабільності розв'язкуі наведено приклади, що показують точність встановлених теорем. Також на множині коректності встановлено оцінку швидкості збіжності методу послідовного наближення, що запропонований для розв'язування даних задач

Novel Mixed Integer Programming Approaches to Unit Commitment and Tool Switching Problems

In the first two chapters, we discuss mixed integer programming formulations in Unit Commitment Problem. First, we present a new reformulation to capture the uncertainty associated with renewable energy. Then, the symmetrical property of UC is exploited to develop new methods to improve the computational time by reducing redundancy in the search space. In the third chapter, we focus on the Tool Switching and Sequencing Problem. Similar to UC, we analyze its symmetrical nature and present a new reformulation and symmetry-breaking cuts which lead to a significant improvement in the solution time. In chapter one, we use convex hull pricing to explicitly price the risk associated with uncertainty in large power systems scheduling problems. The uncertainty associated with renewable generation (e.g. solar and wind) is highlighting the need for changes in how power production is scheduled. It is known that symmetry in the integer programming formulations can slow down the solution process due to the redundancy in the search space caused by permutations. In the second chapter, we show that having symmetry in the unit commitment problem caused by having identical generating units could lead to a computational burden even for a small-scale problem. We present an effective method to exploit symmetry in the formulation introduced by identical (often co-located) generators. We propose a cut-generation approach coupled with aggregation method to remove symmetry without sacrificing feasibility or optimality. In the third chapter, we focus on the Job Sequencing and Tool Switching Problem (SSP), which is a well-known combinatorial optimization problem in the domain of Flexible Manufacturing Systems (FMS). We propose a new integer linear programming approach with symmetry-breaking and tightening cuts that provably outperformed the existing methodology described in the literature

The Beginning of a 'Smart Development Era' in Azerbaijan: Smart Technologies and/vs Smart Decision-Making

The past few years in Azerbaijan have been marked by growing government interest in using 'smart' solutions in urban and rural planning. The results of the Karabakh conflict pushed these aspirations even further, with ‘smart’ technologies being seen as the key instruments in the redevelopment of the de-occupied territories. Since cities are vital mechanisms for economic growth, it is generally believed that applying modern technologies in urban and regional planning can increase the economic performance of a nation while ensuring sustainability. This article will discuss Azerbaijan's existing experience in 'smart' development and examine the extent to which the wider public participates (or will have an opportunity to participate) in the ongoing and future reforms

Effective Field Theory of Gravity: Leading Quantum Gravitational Corrections to Newtons and Coulombs Law

In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum corrections to the Newton and Coulomb potential induced by the combination of graviton and photon fluctuations. We derive the relevant Feynman rules and compute the nonanalytical contributions to the one-loop scattering matrix for charged scalars in the nonrelativistic limit. In particular, we derive the post-Newtonian corrections of order $Gm/\text c^2 r$ from general relativity and the genuine quantum corrections of order $G\hbar/\text c^3 r^2$.Comment: 14 pages, 12 figure