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What are subsequences?

What are subsequences? Here are some definitions.

Noun
  1. plural of subsequence
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In 1929 he published a mathematics paper in which he constructed an infinite sequence of 0's and 1's with no three identical consecutive subsequences of any length.
We assume that a sequence consists of subsequences delimited by functionally constrained blocks.
This sequence isn't random, as initial subsequences of reasonable length are highly compressible.
The subsequences may contain gaps, that is, there may be additional items in the transactions interspersed with the items of the found subsequences.
A single-chain hybrid protein having an amino acid sequence composed of two subsequences corresponding to the light chain of Factor X and LACI's first Kunitz domain.
The efficient methods inherit the cascading lower bounds introduced in UCR-DTW, a state-of-the-art method of similarity search in the static time series, to admissibly prune off unpromising subsequences.

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