A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Abstract: Machine-learning (ML) algorithms have demonstrated the potential to tackle several material science challenges, ranging from predicting quantum molecular properties to screening novel ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

The geometry or shape of a quantum system is mathematically expressed by a tool called the quantum geometric tensor (QGT). It also explains how a quantum system's state changes when we tweak certain ...

To set prices that produce sales, small business owners need to understand the demand curves and inverse demand curves for their products and services. Knowing how each curve works will help owners ...

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on an implementation of the technique that emphasizes simplicity and ease-of-modification over robustness and ...

There is no avoiding the constant chatter about AI these days. Really, it’s been months. As a math teacher, this struggle over new technology feels oddly familiar. More than 30 years ago, the National ...

Abstract: We study 3D point cloud attribute compression using a volumetric approach: given a target volumetric attribute function f : ℝ 3 → ℝ, we quantize and encode parameter vector θ that ...

In Microsoft Excel, a FACT or FACTDOUBLE function are both a Math and Trigonometry function. Math and Trigonometry functions in Excel perform mathematical calculations, including basic arithmetic, ...

The Florida Department of Education has released examples of what it calls “problematic” material that led it to ban dozens of math textbooks — including a lesson with an algebra graph measuring ...