How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

When extreme heat hits, people turn to AC, but what if the grid fails? From France to the US, heat waves are pushing power systems to the limit, raising blackout risks and energy prices when ...

Until charging is as effortless as parking a vehicle at home overnight, infrastructure, and not consumer willingness, may ...

Two TSX software names can profit from the data-centre era without owning a single server farm. The data centre boom isn’t ...

These short anomaly-detection puzzles are designed to illustrate how reasoning often depends on identifying inconsistencies ...

Marco Casalaina in cyberpunk visual. Credit: VentureBeat made with OpenAI ChatGPT-Images-2.0 Microsoft used its Build 2026 conference this week to push a clear message: agents are rapidly moving into ...

Abstract: Among the model order reduction techniques, the proper generalized decomposition (PGD) has shown its efficiency to solve static and quasistatic problems in the time domain. However, the ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

The rapid ascent of large language models (LLMs)—and their growing role in everyday life—masks a fundamental problem: Generative Pre-trained Transformer (GPT) models hallucinate, struggle with ...

In this video by working through 5 different examples I will show you how to solve a system of three different equations. We will work on using the substitution and elimination method to solve for the ...

The behavior of language models is influenced by the prior context provided in prompts. Depending on whether you pick synthesis or shake, the next row looks very different — Vishal Misra Contextual ...