Hyra keeps pushing the frontier. Since our last math update, four more advances have landed: 📐 3D Blaschke–Lebesgue: raised the universal lower bound for constant-width bodies from 0.380799w³ → 0.411040w³ (now 97.9% of the conjectured Meissner optimum). ∫ Beurling–Ahlfors: improved the best uniform (L^p) coefficient from 1.575 → 1.523958, moving closer to Iwaniec’s conjectured sharp bound. ± Partial Hadamard matrices: extended asymptotic counting from the cubic scale down to the near-quadratic regime. [,] Operator commutators: improved the cost of approximating the identity from Tao’s O(log⁵(1/ε)) to O(log³), narrowing the gap toward the known logarithmic lower bound. We are making open-source models better at solving open problems! Check the results: https://github.com/Tencent-Hunyuan/hyra-results
腾讯混元Hyra四项数学新突破
AI 导读
腾讯混元Hyra在数学推理上取得四项新进展:将常宽体下界从0.380799w³提升至0.411040w³(达Meissner最优猜想值的97.9%);Beurling–Ahlfors系数从1.575改进至1.523958;部分Hadamard矩阵渐近计数扩展至近二次尺度;算子交换子逼近成本从Tao的O(log⁵(1/ε))降至O(log³)。相关结果已开源。
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AI 编辑部评分,满分 100腾讯混元Hyra四项数学新突破
腾讯混元Hyra在数学推理上取得四项新进展:将常宽体下界从0.380799w³提升至0.411040w³(达Meissner最优猜想值的97.9%);Beurling–Ahlfors系数从1.575改进至1.523958;部分Hadamard矩阵渐近计数扩展至近二次尺度;算子交换子逼近成本从Tao的O(log⁵(1/ε))降至O(log³)。相关结果已开源。
来源:Tencent Hy· x.com