Total order
id:
total-order-243-6721466
title:
Total order
text:
In mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation ≤ on some set X , which satisfies the following for all a , b and c in X : a ≤ a (reflexive).
If a ≤ b and b ≤ c then a ≤ c (transitive).
If a ≤ b and b ≤ a then a = b (antisymmetric). a ≤ b or b ≤ a . Reflexivity (1.) already follows from connectedness (4.), but is required explicitly by many authors nevertheless, to indicate the kinship to parti
brand slug:
wiki
category slug:
encyclopedia
description:
Order whose elements are all comparable
original url:
https://en.wikipedia.org/wiki/Total_order
date created:
date modified:
2024-04-09T17:19:24Z
main entity:
{"identifier":"Q369377","url":"https://www.wikidata.org/entity/Q369377"}
image:
fields total:
13
integrity:
14