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 a ≤ b or b ≤ a. Also known as chain; completely ordered set; serially ordered set; simply ordered set; totally ordered set.

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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.

PSL ontology as a link between manufacturing planning and execution

After that this operation works on a linearly ordered set (called in [39] the ternar).

Betweenness plane geometry and its relationship with convex, linear, and projective plane geometries/Vahelsustasandi geomeetria ja selle seos kumer-, lineaar- ning projektiivtasandi geomeetriaga