AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we can't verify them. How will we know if they're right?

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Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

It remains an open question when a commercial quantum computer will emerge that can outperform classical (non-quantum) machines in speed and energy efficiency while solving real-world combinatorial ...

Strict embargo: not for publication or external distribution until 10 September 2025 at 16:00 (London time), 10 September 2025 at 11:00 (US Eastern Time) For centuries, astronomers have puzzled over ...

Abstract: The time-dependent nature of real-world problems and the ubiquity of linear equations underscore the fundamental importance of time-dependent systems of linear equations (TDSLE). However, ...

An artist’s depiction of the heliosphere, the Sun’s region of influence in space. Little is known of the actual shape of the heliosphere. Credit: NASA’s Goddard Space Flight Center Conceptual Image ...

What prompted the idea for the course? As a control systems researcher, I have long felt that control systems – and systems science in general – have much to contribute to solving social problems.

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...