The Phi-4 model was trained on just 1.4 million carefully chosen prompt-response pairs. Instead of brute force, the Microsoft ...
At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver ...
The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...
In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same ...
This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...
The standard interpretation of a null state, or empty state, posits it as devoid of structure. This paper introduces a ...
Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. Later, ...
Powerful modern math library for PHP: Features descriptive statistics and regressions; Continuous and discrete probability distributions; Linear algebra with matrices and vectors, Numerical analysis; ...
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