ABSTRACT: The purpose of this paper is to introduce a new pivot rule of the simplex algorithm. The simplex algorithm first presented by George B. Dantzig, is a widely used method for solving a linear ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

Abstract: Accurate power system observability relies on the optimal phasor measurement unit (PMU) placement to minimize costs while ensuring complete state observability. However, modeling the effect ...

Abstract: This work presents a new hybrid metaheuristic algorithm specifically developed to solve the Optimal Power Flow (OPF) problems. The OPF problem aims to minimize real power loss, quadratic ...

Welcome! This is a website documenting my solutions to the exercises in Allen Hatcher's Algebraic Topology. The author has included useful information about the book on the book's download page. See ...

It’s been almost two years since the province announced personal digital device restrictions in Schools to much fanfare and the collective relief of everyone familiar with Jonathan Haidt’s book The ...

Trees (and chains) of kinematic equations are used in robotics, computer graphics, and animation. In robotics forward kinematics refers to the use of kinematic ...