Encyclopedia

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 a ≤ b or b ≤ a. Also known as chain; completely ordered set; serially ordered set; simply ordered set; totally ordered set.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
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
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