This proof is known as Dirichlet’s approximation theorem. At first blush, it only guarantees a single 2-good approximation for every real. Worse yet, the solution guaranteed by the proof might not comply with the rules of our game, because nothing stops it from producing exact approximations (ε = 0). So, what did we achieve?
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Фото: Александр Пирагис / РИА Новости。关于这个话题，电影提供了深入分析
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