AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we ...
Written by: Stephen Janis, Taya Graham, Amanda Scherker ...
Veritasium on MSN
The 'obviously true' theorem that no one can prove
Some mathematical statements feel so intuitive that they seem beyond doubt. Yet in certain cases, proving them has resisted decades — or even centuries — of effort. The gap between intuition and ...
Morning Overview on MSN
Inside the quantum realm where reality turns into pure probability
Quantum mechanics replaced the clockwork certainty of classical physics with something far stranger: a framework in which particles do not follow single, predictable paths but instead exist as clouds ...
DeepMind's Aletheia is a huge advance in AI-driven mathematical reasoning. It is a research agent built on top of Gemini Deep ...
Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they perform. By Siobhan Roberts A few weeks ago, a high school student emailed Martin ...
Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups ...
Abstract: In this paper, Wielandt's inequality for classical channels is extended to quantum channels. That is, an upper bound to the number of times a channel must be applied, so that it maps any ...
The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a ...
This is an Obsidian.md plugin to add better Live Preview support for math rendering inside callouts & blockquotes. Note: The feature of this plugin was originally a part of LaTeX-like Theorem & ...
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