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As we all know, a set is a collection of elements which have no particular order and no multiplicity.

So what do you call a construct which does store its elements in a specific order? What is the correct mathematical term for that?

(I looked at "ordered set", but that apparently means something quite different - it is a set who's elements support order comparisons.)

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    Looks like that's the right answer. But I can't accept comments, only answers. ;-)2012-08-01

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From Wikipedia entry on sequences:

In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms), and the number of ordered element (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence.

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    Yes, why not. If you do not insist on countability ...2012-08-04