Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

When many of us think about how drugs work in the body, we may first think about how a drug gets into the body, such as a pill versus an injection. In the Gellman Group at the UW–Madison Department of ...

The ITAT Delhi held that the Revenue could not substitute the assessee's consistent method of revenue recognition with the Percentage of Completion Method for only one assessment year. It deleted the ...

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

CDVAE, a symmetry-aware generative AI framework that embeds space-group information into the generation of crystal structures ...

Abstract: Under the linear spectral mixture model, hyperspectral unmixing can be considered as a convex geometry problem, in which the endmembers are located in the vertices of simplex enclosing the ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

Abstract: High penetration of renewable energy generation (REG) presents severe uncertainties for power system operation. It is critical to quantify the accommodation level of REG in the nonlinear ...

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 ...

Rigorous numerical optimization is ubiquitous in modern antenna design. In many cases, performing local (e.g., gradient-based) parameter tuning is sufficient. However, a global optimization is ...

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 ...

An infection occurs when a microorganism — such as bacteria, fungi, or a virus — enters a person’s body and begins multiplying. Infections can have a variety of effects, ranging from mild to severe.