https://wiki.lojban.io/index.php?action=history&feed=atom&title=salri salri - Revision history 2026-04-28T03:12:54Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=salri&diff=14523&oldid=prev Nalvaizmiku: Import words via API 2026-01-13T16:17:07Z <p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> salri<br /> ==== type ====<br /> experimental gismu<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Fri Jan 30 22:46:09 2015<br />  <br /> == English ==<br /> === Definition #64495 - Preferred ===<br />  <br /> ==== definition ====<br /> x&lt;sub&gt;1&lt;/sub&gt; is the differintegral of x&lt;sub&gt;2&lt;/sub&gt; with respect to x&lt;sub&gt;3&lt;/sub&gt; of order x&lt;sub&gt;4&lt;/sub&gt;, with differintegration being according to definition/specification or of type x&lt;sub&gt;5&lt;/sub&gt;.<br /> ==== notes ====<br /> <br /> All integrals are indefinite. Definition of which differintegral operator is being used is context-dependent if not specified explicitly by &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt;. Dimensionality of &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;2&lt;/sub&gt;&lt;/span&gt; may be similarly specified. Output &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 function, not a value (that is, it is some &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;f&lt;/i&gt;&lt;/span&gt; rather than &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;f&lt;/i&gt; (&lt;i&gt;x&lt;/i&gt;)&lt;/span&gt;); it must be specified/restricted to a value in order to be a value; thus, output may be &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;g&#039;&lt;/i&gt;&lt;/span&gt; but not &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;g&#039;&lt;/i&gt;(&lt;i&gt;a&lt;/i&gt;)&lt;/span&gt; for some &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;a&lt;/i&gt;&lt;/span&gt;; similarly, definite integrals and integration constants must be defined with additional effort. &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; is likewise a function. If &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; is univariate, then &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt; defaults to that input/variable; when &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; is physical, without context, time will probably usually but not necessarily be assumed as the default of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt; (but may be made explicit by &quot;[[temsalri|temsalri]]&quot;). Positive values 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; are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;&lt;/span&gt;; &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;&lt;/span&gt; has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, generalized densities (including pressure), &quot;per&quot; for smooth quantities, etc. See also: &quot;[[salrixo|salrixo]]&quot; (synonymous zi&#039;evla).<br /> <br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/derivative|derivative ; mathematical]]&lt;/li&gt;&lt;li&gt;[[natlang/en/differintegral|differintegral ; brivla]]&lt;/li&gt;&lt;li&gt;[[natlang/en/integral|integral ; mathematical; continuous sum]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 2<br /> <br /> ==== time ====<br /> Thu Oct 8 18:14:47 2020<br /> <br /> [[comments.html?valsi=28161;definition=64495|[View<br /> Comments For This Definition]]] <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