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 ...

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 ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

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 ...

Have a major deliverable coming up that involves lots of people and tasks? The top project management apps we've tested can help you keep your team on track. I'm an expert in software and work-related ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...