https://wiki.lojban.io/index.php?action=history&feed=atom&title=ki%27irgrafu ki'irgrafu - Revision history 2026-04-28T09:05:20Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=ki%27irgrafu&diff=8518&oldid=prev Nalvaizmiku: Import words via API 2026-01-13T15:24:39Z <p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> ki&#039;irgrafu<br /> ==== type ====<br /> lujvo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Fri Feb 17 21:47:44 2017<br />  <br /> == English ==<br /> === Definition #69338 - Preferred ===<br />  <br /> ==== definition ====<br /> x&lt;sub&gt;1&lt;/sub&gt; is a relation space formed from elements/nodes in set x&lt;sub&gt;2&lt;/sub&gt; and relationship x&lt;sub&gt;3&lt;/sub&gt; which connects them.<br /> ==== notes ====<br /> x&lt;sub&gt;1&lt;/sub&gt; is a space/directed graph/set of ordered n-tuples which is formed from the endowment of of a space/set (of possible nodes) x&lt;sub&gt;2&lt;/sub&gt; with the relationship x&lt;sub&gt;3&lt;/sub&gt; which is n-ary. Suppose that x&lt;sub&gt;2&lt;/sub&gt; is binary; let y and z be elements in x&lt;sub&gt;2&lt;/sub&gt; and denote x&lt;sub&gt;3&lt;/sub&gt; by &quot;R&quot; so that &quot;a R b&quot; means that R relates &#039;a&#039; to &#039;b&#039; in that order (not necessarily the reverse); then: if y R z, then (y,z) is an element in x&lt;sub&gt;1&lt;/sub&gt;. In other words, x&lt;sub&gt;1&lt;/sub&gt; is the set of exactly all ordered edges between members of x&lt;sub&gt;2&lt;/sub&gt; (which are nodes/endpoints of members of x&lt;sub&gt;1&lt;/sub&gt;), which are formed iff R relates those members in the order indicated by the direction of the edge (source then destination; first term, then second term) when R is binary. Greater arity is possible (in which case ordered n-tuples become useful and edges scale up dimensionally). x&lt;sub&gt;1&lt;/sub&gt; is the set of all ordered relationships in x&lt;sub&gt;2&lt;/sub&gt; formed by x&lt;sub&gt;3&lt;/sub&gt;. One valjvo of this word is an experimental gismu: [[grafu|grafu]].<br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/relation space|relation space]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Sun Sep 9 06:32:00 2018<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