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Paul Erdős

别名:Erdős、Erdish

传奇数学家,留下大量未解数学问题。

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已收录 6 条与 Paul Erdős 相关的内容,按评分排序。

Hacker News Best 图标

An OpenAI model has disproved a central conjecture in discrete geometry

Hacker News Best1632 字 (约 7 分钟)
90

OpenAI's AI model has autonomously disproved a central conjecture in discrete geometry, demonstrating polynomially improved unit-distance point set constructions, marking a milestone in AI-driven mathematical research.

入选理由:OpenAI模型发现的构造使单位距离对数达到n^(1+δ),突破传统网格构造的渐进界限

FeaturedArticle#OpenAI#Discrete Geometry#Unit Distance Problem#AI Mathematical Reasoning英文
DeepMind’s New AI Found A Strange New Way To Think

DeepMind’s New AI Found A Strange New Way To Think

Two Minute Papers1573 字 (约 7 分钟)
85

DeepMind 的 AlphaProof Nexus 在解决数学难题上取得突破,尽管成功率低,但其方法和潜力值得关注。

入选理由:AlphaProof Nexus 解决了 350 个数学问题中的 9 个,成功率 2.6%。

FeaturedVideo#AI#数学#DeepMind#AlphaProof Nexus英文
proof too complicated, Claude help ELI5

proof too complicated, Claude help ELI5

Jerry Liu(@jerryjliu0)119 字 (约 1 分钟)
85

OpenAI 的模型在解决平面单位距离问题上取得了突破,这一问题自1946年首次提出以来一直困扰着数学界。传统的观点认为最佳解决方案类似于方形网格,但 OpenAI 的模型发现了更优的配置,挑战了这一长期存在的假设。

入选理由:OpenAI 的模型在平面单位距离问题上取得了突破,推翻了近80年的传统观点。

FeaturedTweet#OpenAI#人工智能#数学#平面单位距离问题#创新中文
Today, we share a breakthrough on the planar unit distance problem, a famous open question first pos...

OpenAI Announces Breakthrough on Erdős' 80-Year Unit Distance Problem

OpenAI(@OpenAI)207 字 (约 1 分钟)
85

OpenAI's model has autonomously solved Paul Erdős' 1946 planar unit distance problem, disproving the 80-year square grid optimality assumption and discovering new superior constructions.

入选理由:OpenAI模型推翻正方形网格最优解假设,发现性能更优的新构造方法

FeaturedTweet#OpenAI#Mathematics#AI Research#Unit Distance Problem英文
OpenAI Blog 图标

An OpenAI model has disproved a central conjecture in discrete geometry

OpenAI Blog1632 字 (约 7 分钟)
85

An OpenAI model overturned Paul Erdős' 80-year conjecture on the planar unit distance problem by proposing a polynomial improvement construction, validated by external mathematicians who recognized it as the first autonomous AI solution to a core mathematical problem.

入选理由:OpenAI模型构造的n点配置可产生n^{1+0.014}单位距离对,突破传统方格构造的渐进界限

FeaturedArticle#OpenAI#Discrete Geometry#Unit Distance Problem#AI Mathematics#Paul Erdős英文
OpenAI just SOLVED MATH....

OpenAI Just Solved a Math Problem...

Wes Roth6421 字 (约 26 分钟)
78

OpenAI claims its unreleased AI model solved a 75-year-old mathematical problem, validated by top mathematicians, marking the first time AI produces publishable results in core math.

入选理由:OpenAI内部AI模型在1946年提出的Erdős单位距离问题上取得突破

FeaturedVideo#AI#Mathematics#OpenAI#Machine Learning#Algorithm英文

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