A subsequence of
is a sequence
defined by ,
where
is an increasing sequence of indices (D'Angelo and West 2000).
For example, the prime numbers are a subsequence
of the positive integers.
Subsequence generation is implemented in the Wolfram
Language as Subsequences.
See also
Lower-Trimmed Subsequence,
Subset,
Upper-Trimmed
Subsequence
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References
D'Angelo, J. P. and West, D. B. Mathematical Thinking: Problem-Solving and Proofs, 2nd ed. Upper Saddle River, NJ: Prentice-Hall,
pp. 277-279, 2000.Referenced on Wolfram|Alpha
Subsequence
Cite this as:
Weisstein, Eric W. "Subsequence." From
MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Subsequence.html
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