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单词 Interspersion
释义

Interspersion

An Array , of Positive Integers is called an interspersion if

1. The rows of comprise a Partition of the Positive Integers,

2. Every row of is an increasing sequence,

3. Every column of is a (possibly Finite) increasing sequence,

4. If and are distinct rows of and if and are any indices for which, then .
If an array is an interspersion, then it is a Dispersion. If an array is an interspersion, then the sequence given by for some is a FractalSequence. Examples of interspersion are the Stolarsky Array and Wythoff Array.

See also Dispersion (Sequence), Fractal Sequence, Stolarsky Array


References

Kimberling, C. ``Interspersions and Dispersions.'' Proc. Amer. Math. Soc. 117, 313-321, 1993.

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


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