[不等式] 球面上4点之间距离倒数之和的最小值

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hbghlyj posted 2025-3-8 03:53 |Read mode

单位球面上4点之间距离为$r_{ij}(1\le i<j\le 4)$，求$\sum_{i<j}{\frac {1}{r_{ij}}}$的最小值？

如何证明位于正四面体的顶点时达到最小？

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2025-6-8 06:56 GMT+8

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