Theorem raises $6 million to use AI-powered formal verification to mathematically prove AI-generated code is safe before it's deployed in critical systems.

Abstract: An alternative derivation is provided for the degrees of freedom (DOF) formula on line-of-sight (LOS) channels via Landau’s eigenvalue theorem for bandlimited signals. Compared to other ...

For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its equation, a² + b² = c², is taught early and used widely, yet its implications ...

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Abstract: We show that applying a generalization of the Cayley-Hamilton Theorem to a state-space representation of a single-output, multidimensional (mD), linear, shift-invariant, causal, autonomous ...

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 ...

A Manim animation generator rebuilt with Motia - the event-driven backend framework. This version demonstrates how to structure a video generation pipeline using Motia's Step primitives. ├── src/ │ ...

This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, ...

This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Möbius inversion formula had been considered as purely academic, or ...

Please ensure you check the module availability box for each module outline, as not all modules will run in each academic year. Each module description relates to the year indicated in the module ...