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

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

ABSTRACT: For a simple undirected graph G, let A( G ) be the (0, 1) adjacency matrix of G. The Seidel matrix of G, is defined as S( G )=J−I−2A( G ) , where J is the all-one matrix and I is the ...

Jane JaeYeon Pyo, a third-year Tepper School of Business doctoral student, has developed a way to measure the distances between financial statements and a novel method of interpreting them, offering a ...

Revised: This Reviewed Preprint has been revised by the authors in response to the previous round of peer review; the eLife assessment and the public reviews have been updated where necessary by the ...

Abstract: The huge development of social networks opens the need for their analysis. The visualization of social networks is an important and powerful tool for such kind of analysis. There are many ...

Introduction: The electronic health record (EHR) has greatly expanded healthcare communication between patients and health workers. However, the volume and complexity of EHR messages have increased ...

ABSTRACT: Let G be a connected graph with vertex set V( G ) . Then the degree resistance distance of G is defined as D R ( G )= ∑ { u,v }⊆V( G ) ( d( u )+d( v ) )R( u,v ) , where d( u ) is the degree ...

Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a mathematician astray. Early evidence might not represent the bigger picture ...

The challenge of managing and recalling facts from complex, evolving conversations is a key problem for many AI-driven applications. As information grows and changes over time, maintaining accurate ...

NEW YORK, NEW YORK - SEPTEMBER 07: Brooks Nader is seen in the Meatpacking District on September 07, 2024 in New York City. (Photo by The Hapa Blonde/GC Images) It’s called “nature’s neutral” and it’s ...