Nous Research's open-source Nomos 1 AI model scored 87/120 on the notoriously difficult Putnam math competition, ranking ...

Introduction: We present Quantum Adaptive Search (QAGS), a hybrid quantum-classical algorithm for global optimization of multivariate functions. The method employs an adaptive mechanism that ...

Supply chains consist of imperfect humans struggling to make perfect decisions. In the end, though, it all comes down to a game of numbers. That, at least, is the theory behind mathematical ...

The article debunks the common belief that trial-and-error improvements equate to true optimization. It provides a deep dive into how RTO works—from mathematical ...

Introduction: The increasing emphasis on sustainable finance policies has necessitated the development of advanced mathematical models to optimize bank investment portfolios and debt structures. While ...

Learning a new skill can be difficult, especially when it’s relatively complex. It’s often hard to keep definitions, concepts, and descriptions straight when you’re trying to make inroads into an area ...

Learn to choose coordinate systems, visualize multivariable functions, and parameterize curves. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

ABSTRACT: Domaining is a crucial process in geostatistics, particularly when significant spatial variations are observed within a site, as these variations can significantly affect the outcomes of ...

Abstract: The binary polarization state analyzer (PSA) made of magnetooptic crystal (MO) rotators is a promising technology for achieving low-cost and high-efficiency state of polarization (SOP) ...

Abstract: The optimization of printed circuit board assembly (PCBA) for a beam head placement machine is a multivariable and multiconstraint combinatorial problem. Current techniques falter in solving ...