https://wiki.lojban.io/index.php?action=history&feed=atom&title=trajije trajije - Revision history 2026-05-02T02:12:39Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=trajije&diff=19996&oldid=prev Nalvaizmiku: Import words via API 2026-01-13T17:01:49Z <p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> trajije<br /> ==== type ====<br /> fu&#039;ivla<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Tue Apr 9 14:49:22 2019<br />  <br /> == English ==<br /> === Definition #71328 - Preferred ===<br />  <br /> ==== definition ====<br /> <br /> MATH<br /> $x_1=traji_1$<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;traji&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt; is superlative in property MATH<br /> $x_2=traji_2$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt; = &lt;i&gt;traji&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt;, the MATH<br /> $x_3=traji_3$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt; = &lt;i&gt;traji&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt; extrema (ka; default: ka zmadu), among set/range MATH<br /> $x_4=traji_4$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt; = &lt;i&gt;traji&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;&lt;/span&gt;, and – moreover – (there exists at least one member of) the &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt;&lt;span class=&quot;MATH&quot;&gt;&lt;sup&gt;2&lt;/sup&gt;&lt;/span&gt;th (li; must be 1 or 2) argument [see note] of this selbri (which) actually has/is/attains said property &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; according to standard &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;6&lt;/sub&gt;&lt;/span&gt;.<br /> <br /> ==== notes ====<br /> <br /> Being the most extreme in a given property amongst some population does not imply that one actually has that property; for example, the oldest child in a kindergarten class is not necessarily &#039;old&#039;. For the purposes of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt;, whatsoever is submitted to &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt; becomes a member of a singleton set and &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt; = 1&lt;/span&gt; means that this whole member is drawn as the referent of the clause in the definition which begins with &quot;moreover&quot;; however, for the purposes of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt;, the argument of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;&lt;/span&gt;, which inherently must be set or similar, is left bare - meaning that at least one of its members, rather than the set as whole (being treated as a member of a singleton), is the referent of the clause in the definition which begins with &quot;moreover&quot;; in fact, if &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt; = 2&lt;/span&gt;, then the set from which the referent is being drawn is actually the relative complement of Singleton(&lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt;) 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; (see: &quot;[[kleivmu|kleivmu]]&quot;). So, if &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt; is a set or a complicated sumti string composed via connectives, then &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt; = 1&lt;/span&gt; constructs a singleton set containing &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 then the referent drawn is, necessarily, &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt;; meanwhile, if &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt; = 2&lt;/span&gt;, then some member of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;&lt;/span&gt; itself, excluding &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt; (whatsoever it may be), is the referent which is drawn; for the purposes of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt;, &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;4&lt;/sub&gt;&lt;/span&gt; are treated asymmetrically, for the sake of utility and minimal complication. An analog of many of the notes in &quot;[[zmaduje|zmaduje]]&quot; will apply here (but recall that &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt; may be either &quot;[[ka|ka]] [[zmadu|zmadu]]&quot; or &quot;ka [[mleca|mleca]]&quot;!). If negated, then it means &quot;either &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt; is not the most extreme (in said property amongst said set) at the &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt; end of the scale, or the MATH<br /> $((x_5)^&lt;a class=&quot;undefined&quot; href=&quot;../dict/2?bg=1;langidarg=2&quot;&gt;2&lt;/a&gt;)$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;((&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;)&lt;sup&gt;2&lt;/sup&gt;)&lt;/span&gt;th argument does not attain the said property (by the said standard)&quot;, where &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt; works as previously described, the &quot;or&quot; is inclusive, and both of the &quot;not&quot;s are the ones specified by the negation (such as &quot;[[na|na]]&quot;, &quot;[[na&#039;e|na&#039;e]]&quot;, &quot;[[to&#039;e|to&#039;e]]&quot;, etc.); the negation does not specify which clause is untrue, only that at least one is so. See also: &quot;[[simsaje|simsaje]]&quot;.<br /> <br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/least and actually is|least and actually is]]&lt;/li&gt;&lt;li&gt;[[natlang/en/most and actually is|most and actually is]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 2<br /> <br /> ==== time ====<br /> Thu Dec 30 08:38:49 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