George Pólya’s random walk theorem absolved him of being a lurker and revealed how the laws of chance interact with physical ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

A federal judge on Friday barred several government agencies from complying with an executive order from President Trump that sought to make major changes to the federal elections process. In her ...

The day when quantum computers will be able to break conventional encryption is rapidly approaching, but not all companies are prepared to implement post-quantum cryptography. Quantum-safe encryption ...

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 ...

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 ...

Abstract: Presented here is an intuitive method for synthesizing the binomial multisection quarter-wave transformer. I discovered this method while teaching an undergraduate course in microwave ...

Novel and important applications of number theory to graph theory and vice versa had been made in the past decade. The two main tools used are based on the estimates of character sums and the ...

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 ...