https://wiki.lojban.io/index.php?action=history&feed=atom&title=te%27o%27ate'o'a - Revision history2026-05-03T05:45:14ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=te%27o%27a&diff=18691&oldid=prevNalvaizmiku: Import words via API2026-01-13T16:51:00Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
te'o'a<br />
==== type ====<br />
experimental cmavo<br />
==== creator ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== time entered ====<br />
Thu Jul 14 18:27:37 2016<br />
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== English ==<br />
=== Definition #68805 - Preferred ===<br />
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==== selma'o ====<br />
VUhU<br />
==== definition ====<br />
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unary mekso operator: natural exponentiation operator exp, where MATH<br />
$exp(a) = e^a \forall a$<br />
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<span class="MATH"><i>exp</i>(<i>a</i>) = <i>e</i><sup>a</sup>∀<i>a</i></span>.<br />
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==== notes ====<br />
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Approximately equivalent to "[[se|se]] [[te'a|te'a]] [[te'o|te'o]]" possibly with [[ma'o|ma'o]] included somewhere. This is mostly useful for abbreviation and for being careful in distinguishing functions from numbers (since <span class="MATH"><i>e</i><sup>x</sup></span> is a number and not a function; this word is <span class="MATH"><i>e</i><sup>#</sup></span> using Wolfram notation). For example: Let <span class="MATH"><i>D</i></span> be the differentiation operator with respect to the first variable of its argument. Then <span class="MATH"><i>D</i>(<i>e</i><sup>x</sup>) = 0</span> at best, strictly speaking, because <span class="MATH"><i>x</i></span> must be just a number and so the differentiand is a constant (in fact and at worst, it may not even be a function, in which case the derivative is not even defined); we accept this notation to mean something else (which will be shown momentarily) because few other notations are convenient. However, what we really mean, and what this word facilitates, is: MATH<br />
$D(exp)=exp$<br />
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<span class="MATH"><i>D</i>(<i>exp</i>) = <i>exp</i></span>; this is true because the differentiand is a differentiable (and special) function. This word is related to [[te'a|te'a]] in a fashion analgpus to the ordered relation between [[fa'i|fa'i]] (resp. [[va'a|va'a]]) and [[fi'u|fi'u]] (resp. [[vu'u|vu'u]]). The domain and codomain sets are purposefully vague.<br />
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==== gloss words ====<br />
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<ul><li>[[natlang/en/exp|exp]]</li><li>[[natlang/en/natural exponentiation function|natural exponentiation function]]</li></ul><br />
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==== created by ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== vote information ====<br />
2<br />
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==== time ====<br />
Thu Aug 5 07:06:05 2021<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===</div>Nalvaizmiku