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      <title>数据库Join算法如何将万亿级比较降至线性复杂度：从嵌套循环到哈希连接的四十年技术博弈</title>
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      <description>深入解析数据库Join算法的核心原理与演进历程。从嵌套循环连接的朴素直觉，到哈希连接的数学优雅，再到排序合并连接的内存友好设计。基于CMU数据库课程、DeWitt 1984年论文、Kitsuregawa 1983年GRACE数据库机等权威信源，系统梳理三种核心Join算法的I/O成本模型、适用场景、不同数据库的实现差异，以及SQL Server自适应连接等现代演进。揭示优化器如何在毫秒间做出影响查询性能数量级的算法抉择。</description>
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