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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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original poster 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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