关于对称群置换重复序列熵的注记
A note on the entropy of repetitive sequences of symmetry group permutations
摘要：
本文观察到，在由不同符号的重复单元组成的信号中，信息熵的所有阶数都是相等的，其中这些单元可以被归类为对称群的成员。这导致用于测量数据（诸如文本、信号或遗传学）中的高阶熵的信息内容的改进度量，以及当比较不同大小和符号集的数据时或当比较整个序列时，用于跨熵阶比较增量信息内容的另一相似性度量。
英文摘要：
The paper makes the observation that all orders of information entropy are equal in signals composed of repeating units of distinct symbols where the units can be classified as a member of a symmetry group. This leads to an improved metric for measuring the information content of higher order entropies in data such as text, signals, or genetics and another measure of similarity to compare the incremental information content across entropy orders when comparing data of different sizes and symbol sets or when comparing entire sequences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
