By extending a proof of a physically important behavior in one-dimensional quantum spin systems to higher dimensions, a RIKEN ...

Artificial intelligence is getting smarter every day, but it still has its limits. One of the biggest challenges has been ...

From classrooms to kitchen tables, debates about math education are never far away. Should teachers drill multiplication facts or encourage creative strategies to solve problems? The answer, ...

Abstract: This paper investigates the Flexible Layout Design Problem (FLDP), which involves a set of stations arranged in a matrix-structured manufacturing system (MMS). Initially, the main objectives ...

Department of Chemical Engineering, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, India American Express Lab for Data Analytics, Risk and Technology (DART), Indian Institute of ...

In early June, Apple researchers released a study suggesting that simulated reasoning (SR) models, such as OpenAI's o1 and o3, DeepSeek-R1, and Claude 3.7 Sonnet Thinking, produce outputs consistent ...

Expertise from Forbes Councils members, operated under license. Opinions expressed are those of the author. The hype around generative AI (GenAI) is undeniable. Tools like ChatGPT have captivated the ...

Chinese AI lab DeepSeek has quietly updated Prover, its AI model that’s designed to solve math-related proofs and theorems. According to South China Morning Post, DeepSeek uploaded the latest version ...

Institute of Theoretical Chemistry, Faculty of Chemistry, University of Vienna, Währinger Straße 17, 1090 Vienna, Austria Vienna Doctoral School in Chemistry (DoSChem), University of Vienna, Währinger ...

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep ...

Mathematicians excel at handling complexity and uncertainty. Mathematical reasoning strategies aren't just useful for dilemmas involving numbers. We can apply math mindsets to improve our approach to ...