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单词 Signature Sequence
释义

Signature Sequence

Let be an Irrational Number, define , and let be the sequence obtained by arranging the elements of in increasing order. A sequence is said to be a signature sequence if there Exists a Positive Irrational Number such that, and is called the signature of .


The signature of an Irrational Number is a Fractal Sequence. Also, if is a signature sequence,then the Lower-Trimmed Subsequence is .


References

Kimberling, C. ``Fractal Sequences and Interspersions.'' Ars Combin. 45, 157-168, 1997.


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更新时间:2024/11/15 1:52:18