https://wiki.lojban.io/index.php?action=history&feed=atom&title=toryrailu%27a 2026-05-10T14:38:44Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=toryrailu%27a&diff=19977&oldid=prev 2026-01-13T17:01:39Z

<p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> toryrailu&#039;a<br /> ==== type ====<br /> lujvo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Thu Jan 14 19:05:47 2021<br />  <br /> == English ==<br /> === Definition #72363 - Preferred ===<br />  <br /> ==== definition ====<br /> x&lt;sub&gt;1&lt;/sub&gt; is the geodesic path from x&lt;sub&gt;2&lt;/sub&gt; to x&lt;sub&gt;3&lt;/sub&gt; via or through points including/on connected manifold component/in connected graph component x&lt;sub&gt;4&lt;/sub&gt;, with distance being measured by standard/metric/weighting x&lt;sub&gt;5&lt;/sub&gt;.<br /> ==== notes ====<br /> x&lt;sub&gt;1&lt;/sub&gt; and x&lt;sub&gt;2&lt;/sub&gt; must belong to the same connected component (which includes/encompasses x&lt;sub&gt;4&lt;/sub&gt;). The overall &#039;distance&#039; travelled must be the minimal option under the orientation (from x&lt;sub&gt;2&lt;/sub&gt; to x&lt;sub&gt;3&lt;/sub&gt;; this is not always symmetric) and path weighting/the specified metric such that the points x&lt;sub&gt;4&lt;/sub&gt; are included in the path or the path is in/on connected manifold/graph component x&lt;sub&gt;4&lt;/sub&gt; (as appropriate). In other words, x&lt;sub&gt;1&lt;/sub&gt; includes a geodesic from x&lt;sub&gt;2&lt;/sub&gt; to x&lt;sub&gt;3&lt;/sub&gt; through/on/along/in points or space x&lt;sub&gt;4&lt;/sub&gt;. If the notion of distance is well-formed, then the triangle inequality should be satisfied and, therefore, x&lt;sub&gt;1&lt;/sub&gt; should be composed of certain of geodesic subpaths between points in x&lt;sub&gt;4&lt;/sub&gt; U Set(x&lt;sub&gt;2&lt;/sub&gt;, x&lt;sub&gt;3&lt;/sub&gt;). If x&lt;sub&gt;4&lt;/sub&gt; is oriented or is an ordered list of points, then the path must connect them in that order (or a permitted order if there are multiple options).<br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/geodesic|geodesic]]&lt;/li&gt;&lt;li&gt;[[natlang/en/geodesic path|geodesic path]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Thu Jul 22 14:47:41 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>

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