The same decomposition works in higher dimensions. For NNN random points on a sphere, the probability they all lie in a hemisphere is also N/2N−1N / 2^{N-1}N/2N−1. The argument is identical: anchor a hemisphere at each point, observe that each event has probability 1/2N−11/2^{N-1}1/2N−1, and verify that at most one anchor can work (the complementary cap is at least a full hemisphere, so no other anchor's hemisphere can straddle it). TODO: If I figure out how to add 3d visualizations to this website, I'll cover the 3D case
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其一，区域市场内能将租售比控制在合理区间的优质点位本就稀缺，这与品牌方追求门店数量快速增长的诉求天然矛盾。为冲刺扩店规模，行业扩张阶段极易出现同品牌插店、不同品牌争夺加盟商的内耗问题，短期看似赢了扩张速度，长期则会面临成本高企、运营效率下滑的反噬。
// 4. Patch AudioNode.connect to build the connection graph
Everything in Business, plus: