Statistical mechanics is one of the pillars of modern physics. Ludwig Boltzmann (1844–1906) and Josiah Willard Gibbs ...

(THE CONVERSATION) You scrambled up a Rubik’s cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. Most ...

Polynomials above 4 degrees have a shiny new target on their back.

Therefore, he figured, no general formula could solve them. Approximate solutions for higher-degree polynomials ... hyperbolic geometry. Both approaches rely on mathematical functions like ...

To address these limitations, this paper proposes a novel approach for characterizing the geometry of locally corroded steel ... and then characterizes these components using statistical models and ...

All four iPhone 17 models launching later this year will feature an upgraded 24-megapixel front-facing camera, according to analyst Jeff Pu. In a research note today with investment firm GF ...

Maths Formulas for Class 10: Mathematics is one of the most difficult and important subjects. Many students love it, and many are afraid of it. Well, for those who love it, it will take the ...

Indeed, this past summer, DeepMind demoed a system that combined AlphaGeometry2 with AlphaProof, an AI model for formal math reasoning, to solve four out of six problems from the 2024 IMO.

Aurora Research Institute has summarized the high-frequency functions of AI large models in educational applications, categorized by main scenarios and user groups, as follows: ...

Abstract: The rational polynomial function is widely accepted ... of going back to the physical model and correcting the local distortions in a self-calibration block adjustment. The algorithm of an ...

Because GenCast doesn’t need to use nearly as much computing power as the current math-based weather models, the AI model can run a simulation in a fraction of the time. GenCast takes 8 ...