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: 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 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 ...
These days, everyone seems to have an opinion about A.I. companions. Last year, I found myself joining the debate, publishing a paper—co-written with two fellow psychology professors and a philosopher ...
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 ...
A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...
A mathematician has uncovered a way of answering some of algebra's oldest problems. University of New South Wales Honorary Professor Norman Wildberger, has revealed a potentially game-changing ...
A UNSW Sydney mathematician has discovered a new method to tackle algebra’s oldest challenge – solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, ...
An automated machine learning program has been able to identify potential cardiovascular incidents or fall and fracture risks based on bone density scans taken during routine clinical testing. An ...
高次量子系 (L≥6)に対するWei-Norman法の適用を自動化するPythonライブラリ symdynを開発。相似変換と、Baker-Campbell-Hausdorff的な関係と量子系時間発展を導くのに必要な非線形微分方程式を効率的に ...
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 ...