本文按照这种算法总结出完成四柱汉诺塔游戏之最少步数的公式，并用数学归纳法证明了它。

According to that algorithm, this article puts forward a formula to calculate the number of movements necessary for the 4-peg Hanoi Tower problem, and proves it using mathematical induction.

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如果忽略检查和事件，则可以按如下方式总结添加算法。

If you overlook the checks and events, you can summarize the addition algorithm as follows.

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到目前为止，众多有关机器学习的文章中一个重要的主题是利用算法对训练数据进行总结归纳，而不是简单的记忆。

So far, a major theme in these machine learning articles has been having algorithms generalize from the training data rather than simply memorizing it.

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