Since ancient Greece, researchers have tried to isolate special rational points on curves. Now they have the first ever formula that applies uniformly to all curves ...

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 ...

Abstract: A new proof of the direct part of the quantum channel coding theorem is shown based on a standpoint of quantum hypothesis testing. A packing procedure of ...

Abstract: This paper introduces the formal proof of the three mean value theorems of differentiation in detail. The differential mean value theorem is the core theorem of differential calculus, an ...

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We present Prover Agent, a novel AI agent for automated theorem proving that integrates large language models (LLMs) with a formal proof assistant, Lean. Prover Agent coordinates an informal reasoning ...

The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of ...

If you prefer to use the plugin directly with the Coq theorem prover without the vscode extension for Waterproof, for instance, one can install the coq-waterproof plugin in the following way. First ...