View source for xa'ei'o

==== valsi ====
xa'ei'o
==== type ====
experimental cmavo
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== time entered ====
Tue Apr 18 21:32:48 2017
 
== English ==
=== Definition #69506 - Preferred ===
 
==== selma'o ====
JOhE
==== definition ====

binary mekso operator: Let the inputs <span class="MATH"><i>X</i><sub>1</sub></span> and <span class="MATH"><i>X</i><sub>2</sub></span> be sets in the same universal set <span class="MATH"><i>O</i></span>; then the result of this operator applied to them is  MATH
 $X_{1}^{c}  \cup X_{2}^{c}$
 
<span class="MATH"><i>X</i><sub>1</sub><sup>c</sup>∪<i>X</i><sub>2</sub><sup>c</sup></span>, where for any  MATH
 $A \subseteq O, A^{c} = O \setminus A$
 
<span class="MATH"><i>A</i>⊆<i>O</i>, <i>A</i><sup>c</sup> = <i>O</i> <img alt="$\setminus$" src="/jbovlaste_export/9PjmACiaYt/img1.png" style="height: 2.38ex; vertical-align: -0.70ex; "/> <i>A</i></span>.

==== notes ====
Generalizes to n-ary, for any integer n>1 or n being an infinity. This operator generates all three of the basic set operators: union ([[jo'e|jo'e]]), intersection ([[ku'a|ku'a]]), and relative complement ([[kei'i|kei'i]]). See also: [[xa'ei'u|xa'ei'u]]. .krtis. calls it the "union(-type) hash operator", but has never seen a generally used name for it.
==== gloss words ====

<ul><li>[[natlang/en/set union hash operator|set union hash operator]]</li><li>[[natlang/en/union of complements|union of complements]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
1
     
==== time ====
Tue Apr 18 21:44:27 2017



<br/><font size="+1">Examples</font>
<hr/>
<dl>
</dl>

=== Etymology ===