http://wiki.karljones.com/index.php?action=history&feed=atom&title=Total_order 2026-10-23T18:28:10Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Total_order&diff=17532&oldid=prev 2016-08-30T20:29:15Z

<p>Created page with &quot;In <a href="/index.php/Mathematics" title="Mathematics">mathematics</a>, a &#039;&#039;&#039;linear order&#039;&#039;&#039;, &#039;&#039;&#039;total order&#039;&#039;&#039;, &#039;&#039;&#039;simple order&#039;&#039;&#039;, or &#039;&#039;&#039;(non-strict) ordering&#039;&#039;&#039; is a binary relation on some set {\displaystyle X} X, which is...&quot;</p> <p><b>New page</b></p><div>In [[mathematics]], a '''linear order''', '''total order''', '''simple order''', or '''(non-strict) ordering''' is a binary relation on some set {\displaystyle X} X, which is transitive, antisymmetric, and total (this relation is denoted here by infix {\displaystyle \leq } \leq ).<br /> <br /> A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain.<br /> <br /> == See also ==<br /> <br /> * [[Order theory]]<br /> * [[Well-order]]<br /> * [[Suslin's problem]]<br /> * [[Countryman line]]<br /> * [[Prefix order]] – a downward total partial order<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Total_order Total order] @ Wikipedia.org <br /> <br /> [[Category:Mathematics]]</div>

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