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[几何] 有没有空间中两个无理数度旋转的乘积为有理数度旋转

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hbghlyj Posted 2025-1-20 23:20 |Read mode

有没有空间中两个无理数度旋转的乘积为有理数度旋转

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Author| hbghlyj Posted 2025-1-20 23:21

取决于以下问题：是否存在 $\alpha$，$\alpha/\pi$ 是无理数，以及一个 $\beta$，$\beta/\pi$ 是有理数，使得 $\cos(\beta)= \cos^2(\alpha)$

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