https://wiki.lojban.io/index.php?action=history&feed=atom&title=po%27i%27eipo'i'ei - Revision history2026-04-28T18:05:14ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=po%27i%27ei&diff=12982&oldid=prevNalvaizmiku: Import words via API2026-01-13T16:03:50Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
po'i'ei<br />
==== type ====<br />
experimental cmavo<br />
==== creator ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== time entered ====<br />
Thu Mar 9 21:59:28 2023<br />
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== English ==<br />
=== Definition #73169 - Preferred ===<br />
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==== selma'o ====<br />
VUhU3<br />
==== definition ====<br />
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<span class="MATH"><i>n</i></span>-ary mekso operator: for an input of ordered list of ordered pairs MATH<br />
$((X_1, Y_1), (X_2, Y_2), (X_3, Y_3), ..., (X_n, Y_n))$<br />
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<span class="MATH">((<i>X</i><sub>1</sub>, <i>Y</i><sub>1</sub>),(<i>X</i><sub>2</sub>, <i>Y</i><sub>2</sub>),(<i>X</i><sub>3</sub>, <i>Y</i><sub>3</sub>),...,(<i>X</i><sub>n</sub>, <i>Y</i><sub>n</sub>))</span>, it outputs formal generalized rational function MATH<br />
$(x - X_1)^{Y_1} (x - X_2)^{Y_2} (x - X_3)^{Y_3} ... (x - X_n)^{Y_n}$<br />
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<span class="MATH">(<i>x</i> - <i>X</i><sub>1</sub>)<sup>Y<sub>1</sub></sup>(<i>x</i> - <i>X</i><sub>2</sub>)<sup>Y<sub>2</sub></sup>(<i>x</i> - <i>X</i><sub>3</sub>)<sup>Y<sub>3</sub></sup>...(<i>x</i> - <i>X</i><sub>n</sub>)<sup>Y<sub>n</sub></sup></span> in the adjoined indeterminate (here: <span class="MATH"><i>x</i></span>).<br />
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==== notes ====<br />
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<span class="MATH"><i>n</i></span> may be infinite, under the condition that the function is well-defined. In the definition, adjacency of terms denotes multiplication in the relevant algebraic structure. If there is an <span class="MATH"><i>i</i></span> such that <span class="MATH"><i>Y</i><sub>i</sub></span> is omitted, then <span class="MATH"><i>Y</i><sub>i</sub> = 1</span> by default. For any <span class="MATH"><i>i</i></span>, there is no constraint on the values which may be taken by <span class="MATH"><i>X</i><sub>i</sub></span> or <span class="MATH"><i>Y</i><sub>i</sub></span>. See also: "[[po'i'oi|po'i'oi]]".<br />
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==== gloss words ====<br />
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<ul><li>[[natlang/en/convert list to rational function|convert list to rational function]]</li></ul><br />
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==== created by ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== vote information ====<br />
1<br />
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==== time ====<br />
Thu Mar 9 22:02:25 2023<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===</div>Nalvaizmiku