https://wiki.lojban.io/index.php?action=history&feed=atom&title=tai%27i%27au 2026-05-03T17:35:19Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=tai%27i%27au&diff=18183&oldid=prev 2026-01-13T16:46:51Z

<p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> tai&#039;i&#039;au<br /> ==== type ====<br /> experimental cmavo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Wed Dec 14 07:30:12 2022<br />  <br /> == English ==<br /> === Definition #73056 - Preferred ===<br />  <br /> ==== selma&#039;o ====<br /> VUhU3<br /> ==== definition ====<br /> <br /> 8-ary mekso operator: the &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt;th nonnegative sum 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; mutually-distinct perfect &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt;th-powers (i.e.: of integers) in &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;&lt;/span&gt; mutually truly-distinct ways, requiring exactly &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt; terms to be negative in each sum (counting with(out&lt;span class=&quot;MATH&quot;&gt;&lt;sup&gt;X&lt;sub&gt;6&lt;/sub&gt;&lt;/sup&gt;&lt;/span&gt;) multiplicity), requiring exactly &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;7&lt;/sub&gt;&lt;/span&gt; terms to be repeated between sums (counting with(out&lt;span class=&quot;MATH&quot;&gt;&lt;sup&gt;X&lt;sub&gt;8&lt;/sub&gt;&lt;/sup&gt;&lt;/span&gt;) multiplicity), according to the usual ordering of the integers.<br /> <br /> ==== notes ====<br /> <br /> By default, MATH<br /> $X_1 = 1, X_5 = X_6 = X_7 = X_8 = 0$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt; = 1, &lt;i&gt;X&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt; = &lt;i&gt;X&lt;/i&gt;&lt;sub&gt;6&lt;/sub&gt; = &lt;i&gt;X&lt;/i&gt;&lt;sub&gt;7&lt;/sub&gt; = &lt;i&gt;X&lt;/i&gt;&lt;sub&gt;8&lt;/sub&gt; = 0&lt;/span&gt;. Use &quot;[[su&#039;e|su&#039;e]]&quot; in &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt; or &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;6&lt;/sub&gt;&lt;/span&gt; for weaker but bounded criteria (this will &#039;cancel&#039; the corresponding &quot;exactly&quot;). For &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;i&lt;/i&gt;&lt;/span&gt; being &lt;span class=&quot;MATH&quot;&gt;6&lt;/span&gt; or &lt;span class=&quot;MATH&quot;&gt;8&lt;/span&gt;, if &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;i&lt;/sub&gt;&lt;/span&gt; is even, then &quot;with multiplicity&quot; is meant in the corresponding clause/requirement which is governed by this parameter; else, &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;X&lt;/i&gt;&lt;sub&gt;i&lt;/sub&gt;&lt;/span&gt; is to be odd and &quot;without multiplicity&quot; is meant there. 0 is a valid summand and may be used multiple times. &quot;Truly-distinct ways&quot; in this context includes meanings such as &quot;ignoring both parenthesis/priority and commutation/permutation of terms&quot;.<br /> <br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/Ramamujan-Hardy taxicab number generator|Ramamujan-Hardy taxicab number generator ; generalized]]&lt;/li&gt;&lt;li&gt;[[natlang/en/taxicab number|taxicab number ; generalized; related to the famous story about Ramanujan]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Wed Dec 14 07:34:21 2022<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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