https://wiki.lojban.io/index.php?action=history&feed=atom&title=cnanydelta 2026-05-07T09:25:31Z Revision history for this page on the wiki MediaWiki 1.45.3 https://wiki.lojban.io/index.php?title=cnanydelta&diff=3132&oldid=prev 2026-01-13T14:37:37Z

<p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> cnanydelta<br /> ==== type ====<br /> lujvo<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Tue Apr 24 20:28:25 2018<br />  <br /> == English ==<br /> === Definition #70634 - Preferred ===<br />  <br /> ==== definition ====<br /> x&lt;sub&gt;1&lt;/sub&gt; (li) is the (signed) difference between the average of all elements/data of x&lt;sub&gt;2&lt;/sub&gt; (completely specified ordered multiset/list) and single number x&lt;sub&gt;3&lt;/sub&gt; (li; default: infimum of x&lt;sub&gt;2&lt;/sub&gt; under ordering x&lt;sub&gt;6&lt;/sub&gt; if such is finite), using averaging function x&lt;sub&gt;4&lt;/sub&gt; (default: arithmetic average), weights x&lt;sub&gt;5&lt;/sub&gt; (completely specified ordered multiset/list with the same cardinality/length as x&lt;sub&gt;2&lt;/sub&gt;; default: according to notes), and inherited ordering x&lt;sub&gt;6&lt;/sub&gt; (default: standard ordering on the set of reals).<br /> ==== notes ====<br /> <br /> Default for &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;5&lt;/sub&gt;&lt;/span&gt; is the same as the default for the weights of the given averaging function &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 for the arithmetic mean of a finite set is the ordered set of &lt;span class=&quot;MATH&quot;&gt;| &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;|&lt;/span&gt; terms with each term equal identically to &lt;span class=&quot;MATH&quot;&gt;1/| &lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;|&lt;/span&gt;, where &quot;| |&quot; represents the cardinality of its input (circumfixed). &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;6&lt;/sub&gt;&lt;/span&gt; is defined on a superset of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; united with the singleton 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;. The default for &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;6&lt;/sub&gt;&lt;/span&gt; is [[mrenspoi|mrenspoi]]. For example: If MATH<br /> $x_2 = (1, 7)$<br /> <br /> &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt; = (1, 7)&lt;/span&gt; and all of the defaults hold, then MATH<br /> $x_1 = avg(1,7) - min(1,7) = 4 - 1 = 3$<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;avg&lt;/i&gt;(1, 7) - &lt;i&gt;min&lt;/i&gt;(1, 7) = 4 - 1 = 3&lt;/span&gt;; when all defaults hold 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; is a bounded set, &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 the difference between the arithmetic average of (or average of the uniform distribution on) &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt; and the infimum of &lt;span class=&quot;MATH&quot;&gt;&lt;i&gt;x&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt;. See also: &quot;[[sigma|sigma]]&quot;.<br /> <br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/difference from average|difference from average]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Wed Apr 25 04:57:53 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