https://wiki.lojban.io/index.php?action=history&feed=atom&title=va%27au%27au 2026-05-01T17:11:22Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=va%27au%27au&diff=20490&oldid=prev 2026-01-13T17:05:59Z

<p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> va&#039;au&#039;au<br /> ==== type ====<br /> experimental cmavo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Fri May 12 05:42:58 2023<br />  <br /> == English ==<br /> === Definition #73210 - Preferred ===<br />  <br /> ==== selma&#039;o ====<br /> VUhU3<br /> ==== definition ====<br /> <br /> Binary mekso operator: group-theoretic conjugation (group action): maps inputs MATH<br /> $(X_1, X_2, X_3)$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;(&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;, &lt;i&gt;X&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;, &lt;i&gt;X&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;)&lt;/span&gt; to MATH<br /> $X_2^{(-X_3)} * X_1 * X_2^{X_3} = \phi_{(X_2^{(-X_3)})}(X_1)$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;sup&gt;(-X&lt;sub&gt;3&lt;/sub&gt;)&lt;/sup&gt;*&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;*&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;sup&gt;X&lt;sub&gt;3&lt;/sub&gt;&lt;/sup&gt; = &lt;i&gt;φ&lt;/i&gt;&lt;sub&gt;(X&lt;sub&gt;2&lt;/sub&gt;&lt;sup&gt;(-X&lt;sub&gt;3&lt;/sub&gt;)&lt;/sup&gt;)&lt;/sub&gt;(&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;)&lt;/span&gt;. Default: &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt; = 1&lt;/span&gt;.<br /> <br /> ==== notes ====<br /> <br /> Assumes that the inverse of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; is defined; inherits the group operator &#039;*&#039; (which is binary and left-groups/evaluates from the left) from context and assumes that it is defined for the given input pairs. &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt; will typically be &lt;span class=&quot;MATH&quot;&gt;±1&lt;/span&gt;. Negative &#039;exponents&#039; denote inverses; an &#039;exponent&#039; of &lt;span class=&quot;MATH&quot;&gt;0&lt;/span&gt; denotes the jdentity element for the group.<br /> <br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/change of basis|change of basis]]&lt;/li&gt;&lt;li&gt;[[natlang/en/conjugation|conjugation ; group theory]]&lt;/li&gt;&lt;li&gt;[[natlang/en/group-theoretic conjugation|group-theoretic conjugation]]&lt;/li&gt;&lt;li&gt;[[natlang/en/Jordan normalization operator|Jordan normalization operator]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Fri May 12 13:01:05 2023<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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