We give two different proofs of the fact that non-oblivious selection via regular group sets preserves normality. Non-oblivious here means that whether or not a symbol is selected can depend on the symbol itself. One proof relies on the incompressibility of normal sequences, the other on the use of augmented dynamical systems.

中文翻译：

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通过非遗忘组选择保持常态

我们提供了两种不同的证据，证明通过常规组集合进行的非遗忘选择可以保留正态性。这里的“非遗忘”意味着是否选择符号可以取决于符号本身。一种证明依赖于正常序列的不可压缩性，另一种依赖于使用增强的动力学系统。