论文标题
不可预测的字符串
Unpredictable Strings
论文作者
论文摘要
在有限数量的符号上，揭示了一个新颖的不可预测字符串的概念并用来定义确定性不可预测的序列。我们证明了在离散时间内进行随机过程的大字符串的第一定律，这证实存在一组无法预测的实现。关于大字符串的第二定律的假设，与Bernoulli定理有关。提供了法律的理论和数值背景。
A novel notion of unpredictable strings is revealed and utilized to define deterministic unpredictable sequences on a finite number of symbols. We prove the first law of large strings for random processes in discrete time, which confirms that there exists the uncountable set of unpredictable realizations. The hypothesis on the second law of large strings is formulated, which is relative to the Bernoulli theorem. Theoretical and numerical backgrounds for the laws are provided.
