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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Performance monitoring counter data shows how Cortex X925 uses high IPC to make up for a clock speed deficit. Whether it’s enough IPC to match Lion Cove and Zen 5 varies depending on the individual test, but overall Arm’s chosen IPC and clock speed targets are just as viable as Intel’s and AMD’s.
第一步，从 ManicTime Server 获取各个设备的应用活动和文档活动数据。系统支持多设备并行获取，PC 设备会拿到完整的应用、文档、截图数据，手机设备只拿应用使用情况，用规则分类而不调 LLM。