GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

The largest AI infrastructure capex cycle in history—$450B+ annually—faces a 25-35% risk of disappointment within 18-24 months due to revenue and power constraints. Hyperscalers’ AI capex now consumes ...

Abstract: This paper addresses the analytic Procrustes problem, which aims to find the best least-squares paraunitary approximation of a square matrix of analytic transfer functions, or the best ...

⚠️ Note: The figure generation scripts are currently being consolidated from multiple Jupyter notebooks. Python .py versions will be added progressively for reproducibility. 🗓️ This research was ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In this work, the formal development and implementation of a general restricted ...

The study of Hilbert and Hankel operators on analytic function spaces has emerged as a vibrant research field, uniting aspects of harmonic analysis, operator theory and complex analysis. These ...

People who have early signs of heart problems may also have changes in brain health that can be early signs of dementia, such as loss of brain volume, according to a meta-analysis. The meta-analysis ...

Researchers discovered that heart dysfunction, even in its early stages, may be tied to brain shrinkage, hinting at a possible early warning sign for cognitive decline and memory loss. Credit: ...

Objectives To map the scope of available evidence on relationships between multimorbidity patterns and functioning among adults in low- and middle-income countries (LMICs), and describe methods used.

Normalizable analytic solutions of the quantum rotor problem with divergent potential are presented here as solution of the Schrödinger equation. These solutions, unknown to the literature, represent ...

The COUNTIFS function in Excel is a powerful and versatile tool for counting cells based on multiple criteria. It offers a significant advantage over the COUNTIF function, which is limited to handling ...