English(EN) How Unbalanced Must a Latin Rectangle Be?

新研究量化拉丁方阵的不平衡性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-11-05 05:00

本文探讨了拉丁方阵的平衡概念，将其视为网格中的点，并使用L1度量来衡量其不平衡性。研究人员开发了一种模拟退火方法，该方法改进了现有的非方形矩形基准，并为先前找到的最小不平衡值的最优性提供了计算机辅助证明。该研究还建立了最小不平衡的渐近界限，并研究了完美平衡的条件，所有报告的矩形均使用Lean 4编程语言及其Mathlib库进行了验证。 AI

排序理由该集群包含一篇详细介绍新数学研究的学术论文。[lever_c_demoted from research: ic=1 ai=0.1]

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Signal score: 2 / 100; Composite score across the factors below. Higher = stronger signal that this story matters right now.
Newsworthiness bucket: Tool; 该集群包含一篇详细介绍新数学研究的学术论文。[lever_c_demoted from research: ic=1 ai=0.1]
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报道来源 [1]

arXiv cs.AI TIER_1 English(EN) · Zhengyu Li, Vijay Ganesh · 2026-11-05 05:00

拉丁矩形必须有多么不平衡？

arXiv:2611.06003v1 Announce Type: cross Abstract: We view a $k\times n$ Latin rectangle as $n$ points in the grid $[n]^k$. Each symbol gives one point, whose coordinates are the columns it occupies. The rectangle is balanced when these points are pairwise equidistant in the $\ell…

本文如何被排名

报道来源 [1]

拉丁矩形必须有多么不平衡？

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