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As part of model development, we evaluate our models on open research problems. We expanded these evaluations after performance on our existing mathematical evaluations saturated. Some outputs build upon earlier results produced by the models.

Leantime is a goals focused project management system for non-project managers. Building with ADHD, Autism, and dyslexia in mind.

Open Ontologies is written in Rust. It ships as one binary.

Conditional integer multiplication: kappa > 2^-15. Community proofs, exact certificates and reproducible audits; assumes the OpenAI #109 framework.

lean). The argument is that of Frey, Serre, Ribet, Wiles and Taylor-Wiles. md names each step and the Lean theorem that carries it, and the html/ folder presents the whole proof as web pages you can browse offline (see "Reading the proof in a browser" below).

0-rc2, Mathlib, and Lake. With elan installed, fetch the mathlib cache and build the formalizations with:

Best free & open source AI personal assistant. Always-on, proactive, sessionless. Browser, computer use, files, remote control.

Clone or download this repository, change its name to something else (like, say, megatherium-is-awesome), and then you'll need to do a six-step find and replace on the name in all the templates.

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For a prime $p$, write $ep(x)=\exp(2\pi i\widetilde{x}/p)$, where $\widetilde{x}$ is any integer representative of $x\in\mathbb{F}p$. Define