linearly ordered set

linearly ordered set

[′lin·ē·ər·lē ¦ȯr·dərd ′set]
(mathematics)
A set with an ordering ≤ such that for any two elements a and b either ab or ba. Also known as chain; completely ordered set; serially ordered set; simply ordered set; totally ordered set.
References in periodicals archive ?
The complete lattice [L.sub.strings] is the linearly ordered set {0, 1, ..., 30} with the order relation [greater than or equal to and [L.sub.[0, [infinity]] is the complete lattice from definition 3.
The complete lattice [L.sub.stops] is the linearly ordered set {0, 1,..., M, [infinity]} of non-negative integers (smaller than the number of all bus stops M) and the infinity value [infinity] with the order relation [greater than or equal to].
Activity occurrences begin and end at timepoints, and timepoints constitute a linearly ordered set with end points at infinity.

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