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<p>Import words via API</p> <p><b>New page</b></p><div>==== valsi ====<br /> trajmaumce<br /> ==== type ====<br /> fu&#039;ivla<br /> ==== creator ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== time entered ====<br /> Thu Apr 7 01:18:12 2016<br />  <br /> == English ==<br /> === Definition #68576 - Preferred ===<br />  <br /> ==== definition ====<br /> x&lt;sub&gt;1&lt;/sub&gt; (li) is an extremal bound (supremum/infimum/possibly-unattained extremum (loose sense in English)/asymptote (one sense)/best possible bound (one sense)) on set x&lt;sub&gt;2&lt;/sub&gt; (set) in direction x&lt;sub&gt;3&lt;/sub&gt; (li) in ordered structure x&lt;sub&gt;4&lt;/sub&gt;; x&lt;sub&gt;1&lt;/sub&gt; bounds x&lt;sub&gt;2&lt;/sub&gt; tightly/maximally-strongly from the x&lt;sub&gt;3&lt;/sub&gt; side in x&lt;sub&gt;4&lt;/sub&gt;; x&lt;sub&gt;2&lt;/sub&gt; is bounded from the x&lt;sub&gt;3&lt;/sub&gt; side by x&lt;sub&gt;1&lt;/sub&gt; and any other bound on that side is worse than is x&lt;sub&gt;1&lt;/sub&gt;.<br /> ==== notes ====<br /> x&lt;sub&gt;1&lt;/sub&gt; need not be finite. Many of the notes to [[zmaumce|zmaumce]] apply to this word, with minor appropriate edits. [[praperi|praperi]] modifying this word means that x&lt;sub&gt;2&lt;/sub&gt; does not contain x&lt;sub&gt;1&lt;/sub&gt;. If x&lt;sub&gt;1&lt;/sub&gt; does indeed belong to x&lt;sub&gt;2&lt;/sub&gt;, then x&lt;sub&gt;1&lt;/sub&gt; is an attained extremum (maximum, minimum, vel sim.) of x&lt;sub&gt;2&lt;/sub&gt;. The possible values of x&lt;sub&gt;1&lt;/sub&gt;, and its existence at all, depends delicately on x&lt;sub&gt;4&lt;/sub&gt;. This word allows for easy vagueness about which extremal bound is to be used. See also: [[mecraizmana&#039;u|mecraizmana&#039;u]] (partial near-synonym), [[zmaraimecna&#039;u|zmaraimecna&#039;u]] (partial near-synonym).<br /> ==== gloss words ====<br /> <br /> &lt;ul&gt;&lt;li&gt;[[natlang/en/asymptote|asymptote ; of a set]]&lt;/li&gt;&lt;li&gt;[[natlang/en/best possible bound|best possible bound ; of a set]]&lt;/li&gt;&lt;li&gt;[[natlang/en/extremal bound|extremal bound ; possibly-unattained extremum]]&lt;/li&gt;&lt;li&gt;[[natlang/en/infimum|infimum]]&lt;/li&gt;&lt;li&gt;[[natlang/en/supremum|supremum]]&lt;/li&gt;&lt;/ul&gt;<br /> <br /> ==== created by ====<br /> [[personal/krtisfranks|krtisfranks]]<br /> ==== vote information ====<br /> 1<br /> <br /> ==== time ====<br /> Thu Apr 7 01:22:23 2016<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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