九伤

VS^{2} 均匀分布,U 是其上的固定点, U \cdot V \sim ?
定义累积分布 F(X)=Pr(U \cdot V < x)
只考虑 x \in [0,1] 的情形,其它区间置零截断。
满足条件的点集构成 S^{2} 上的非球缺,计算它们的测度
F(x)=\frac{2\pi x}{2\pi}
f(x)=\frac{dF(x)}{dx}=1

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