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 ...

Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

Introduction: In unsupervised learning, data clustering is essential. However, many current algorithms have issues like early convergence, inadequate local search capabilities, and trouble processing ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

MicroAlgo Inc. announced its research on the Quantum Information Recursive Optimization (QIRO) algorithm, which aims to address complex combinatorial optimization problems using quantum computing.

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The mathematician has solved what are known as higher-degree polynomial equations ...

Abstract: Localizing a three-dimensional (3D) source using linear arrays (LAs) is a promising new localization technology. Existing solutions are either designed for specific LA deployments, are ...

The library sorting problem is used across computer science for organizing far more than just books. A new solution is less than a page-width away from the theoretical ideal. Computer scientists often ...

Recent breakthroughs in quantum computing have led market commentators to, once again, claim that Bitcoin’s future is under threat. Google’s Willow quantum chip and its ability to significantly reduce ...