Dynamix could become the largest public Ethereum holder via ETHM merger, with active DeFi plans and Consensys-led upside ...

Understanding the natural geometry of crystals has long fascinated scientists, especially when studying how materials behave ...

Using the James Webb Space Telescope (JWST), the Hubble Space Telescope (HST) and the Gemini Observatory, European ...

Letter Published: 25 August 1910 Elemental Weight Accurately a Function of the Volution of Ideal Space-symmetry Ratios H. NEWMAN HOWARD Nature 84, 239 (1910) Cite this article ...

“Reinhardt’s conjecture asserts that the smoothed octagon is the centrally symmetric convex K with the property that its densest lattice packing is the least,” Hales concluded.

Hales and Vajjha worked on the more constrained, and therefore simpler, question: What’s the shape with the worst packing that is both convex and centrally symmetric? Mathematicians initially believed ...

This method integrates into E-MLPs by strategically applying weight matrices aligned with symmetry subgroups, facilitating effective symmetry breaking in linear layers. Point-wise activation functions ...

(The composition of a convex function with an affine function is convex). Thus, any enumeration scheme such as branch-and-bound applied to the resulting approximation formulation will solve convex ...