https://wiki.lojban.io/index.php?action=history&feed=atom&title=xa%27ei%27o 2026-04-28T07:27:25Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=xa%27ei%27o&diff=21450&oldid=prev 2026-01-13T17:13:42Z

<p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> xa&#039;ei&#039;o<br /> ==== type ====<br /> experimental cmavo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Tue Apr 18 21:32:48 2017<br />  <br /> == English ==<br /> === Definition #69506 - Preferred ===<br />  <br /> ==== selma&#039;o ====<br /> JOhE<br /> ==== definition ====<br /> <br /> binary mekso operator: Let the inputs &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt; and &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; be sets in the same universal set &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;O&lt;/i&gt;&lt;/span&gt;; then the result of this operator applied to them is MATH<br /> $X_{1}^{c} \cup X_{2}^{c}$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;sup&gt;c&lt;/sup&gt;∪&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;sup&gt;c&lt;/sup&gt;&lt;/span&gt;, where for any MATH<br /> $A \subseteq O, A^{c} = O \setminus A$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;A&lt;/i&gt;⊆&lt;i&gt;O&lt;/i&gt;, &lt;i&gt;A&lt;/i&gt;&lt;sup&gt;c&lt;/sup&gt; = &lt;i&gt;O&lt;/i&gt; &lt;img alt=&quot;$\setminus$&quot; src=&quot;/jbovlaste_export/9PjmACiaYt/img1.png&quot; style=&quot;height: 2.38ex; vertical-align: -0.70ex; &quot;/&gt; &lt;i&gt;A&lt;/i&gt;&lt;/span&gt;.<br /> <br /> ==== notes ====<br /> Generalizes to n-ary, for any integer n&gt;1 or n being an infinity. This operator generates all three of the basic set operators: union ([[jo&#039;e|jo&#039;e]]), intersection ([[ku&#039;a|ku&#039;a]]), and relative complement ([[kei&#039;i|kei&#039;i]]). See also: [[xa&#039;ei&#039;u|xa&#039;ei&#039;u]]. .krtis. calls it the &quot;union(-type) hash operator&quot;, but has never seen a generally used name for it.<br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/set union hash operator|set union hash operator]]&lt;/li&gt;&lt;li&gt;[[natlang/en/union of complements|union of complements]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Tue Apr 18 21:44:27 2017<br /> <br /> <br /> <br /> &lt;br/&gt;&lt;font size=&quot;+1&quot;&gt;Examples&lt;/font&gt;<br /> &lt;hr/&gt;<br /> &lt;dl&gt;<br /> &lt;/dl&gt;<br /> <br /> === Etymology ===</div>

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