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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type, which resolves to true_typ if bool_typ is equivalent to。WPS官方版本下载对此有专业解读
Condition is designed to check the current value when a consumer wakes up. That's fine when state only moves forward, but it falls apart when transitions are fast. When the setter changes state, it calls notify_all(), which schedules wakeups for every waiting consumer. But in a single-threaded event loop, no consumer actually runs until the current coroutine yields. If the value changes again before that happens, consumers wake up and re-evaluate their predicate against the current value, not the value that triggered the notification. The predicate fails and the consumer goes back to sleep, potentially forever.
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