The existence of a pair of elements with spacing of less than 1 / K is the crux of the proof. The rest is just a bit of manipulation to relate these elements to a rational approximation of the starting number r.
下面，我们从pdf生成速度，生成质量，生成数量等方面对两种方案进行对比
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Those fears are already materializing at an economic scale that lends urgency to Karp’s argument. Experts warn of an imminent AI doomsday scenario where white-collar workers’ days are numbered—a destabilizing force that would leave most employees jobless. These aren’t merely panic-inducing ideas; they carry real-world consequences, like a viral essay from Citrini Research that triggered mass market upheaval.
level number. We again use the trick of making the distances relative
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