有限序列和无穷序列的不稳定性
Inconstancy of finite and infinite sequences
摘要：
为了研究有限或无穷序列（时间序列）的大的变化或波动，我们揭示了Crofton的一篇1868年的论文和（Cauchy-）Crofton定理。在调查发生在文献中的这一结果，我们介绍了序列的不稳定性，我们表明为什么它似乎比其他标准更相关的变化的复杂性。我们还计算了经典二元序列的不恒定性，包括一些自动序列和Sturmian序列。
英文摘要：
In order to study large variations or fluctuations of finite or infinite sequences (time series), we bring to light an 1868 paper of Crofton and the (Cauchy-)Crofton theorem. After surveying occurrences of this result in the literature, we introduce the inconstancy of a sequence and we show why it seems more pertinent than other criteria for measuring its variational complexity. We also compute the inconstancy of classical binary sequences including some automatic sequences and Sturmian 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。
