https://wiki.lojban.io/index.php?action=history&feed=atom&title=ji%27i%27u%27u ji'i'u'u - Revision history 2026-04-30T01:02:21Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=ji%27i%27u%27u&diff=7417&oldid=prev Nalvaizmiku: Import words via API 2026-01-13T15:14:46Z <p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> ji&#039;i&#039;u&#039;u<br /> ==== type ====<br /> experimental cmavo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Sat Jun 26 08:17:38 2021<br />  <br /> == English ==<br /> === Definition #72583 - Preferred ===<br />  <br /> ==== selma&#039;o ====<br /> VUhU<br /> ==== definition ====<br /> mekso, at-most-5-ary; rounding function. (See notes).<br /> ==== notes ====<br /> <br /> This word is mathematically equivalent to &quot;[[ji&#039;i&#039;u|ji&#039;i&#039;u]]&quot;, except that every occurrence of &quot;abs&lt;span class=&quot;MATH&quot;&gt;(&lt;i&gt;x&lt;/i&gt;)&lt;/span&gt;&quot; in its definition is here replaced simply with &quot;&lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;/span&gt;&quot; and every occurrence of &quot;sgn&lt;span class=&quot;MATH&quot;&gt;(&lt;i&gt;x&lt;/i&gt;)&lt;/span&gt;&quot; in its definition is here replaced with &quot;&lt;span class=&quot;MATH&quot;&gt;1&lt;/span&gt;&quot;. In other words, where &quot;ji&#039;i&#039;u&quot; really rounds toward or away from &lt;span class=&quot;MATH&quot;&gt;0&lt;/span&gt;, this word rounds toward negative or positive infinity. The behaviors coincide for nonnegative &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;/span&gt;, but differ for &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt; &amp;lt; 0&lt;/span&gt;; for example, for &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt; &amp;lt; 0&lt;/span&gt;, a &#039;negative-type&#039; rounding for &quot;ji&#039;i&#039;u&quot; would round toward &lt;span class=&quot;MATH&quot;&gt;0&lt;/span&gt;, which is actually an increase in value (just decrease in absolute value) while remaining negative, whereas a &#039;negative-type&#039; rounding here would round toward negative infinity, which is a decrease in value (but an increase in absolute value) while remaining negative. This function corresponds more closely with a simple floor or ceiling function, but can be annoying in certain common contexts due to the need to define behavior involving it piecewisely for negative &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;/span&gt;.<br /> <br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/ceiling function|ceiling function]]&lt;/li&gt;&lt;li&gt;[[natlang/en/floor function|floor function]]&lt;/li&gt;&lt;li&gt;[[natlang/en/round down|round down]]&lt;/li&gt;&lt;li&gt;[[natlang/en/rounding function|rounding function ; rounds at given digit]]&lt;/li&gt;&lt;li&gt;[[natlang/en/round to nearest integer|round to nearest integer]]&lt;/li&gt;&lt;li&gt;[[natlang/en/round up|round up]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Sat Jun 26 08:17:38 2021<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> Nalvaizmiku