https://wiki.lojban.io/index.php?action=history&feed=atom&title=su%27i%27osu'i'o - Revision history2026-05-01T18:51:31ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=su%27i%27o&diff=17967&oldid=prevNalvaizmiku: Import words via API2026-01-13T16:45:05Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
su'i'o<br />
==== type ====<br />
experimental cmavo<br />
==== creator ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== time entered ====<br />
Sun Sep 8 06:35:41 2019<br />
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== English ==<br />
=== Definition #71499 - Preferred ===<br />
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==== selma'o ====<br />
VUhU<br />
==== definition ====<br />
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mekso unary or binary operator: ordered inputs <span class="MATH">(<i>n</i>, <i>b</i>)</span> where <span class="MATH"><i>n</i></span> and <span class="MATH"><i>b</i></span> are nonnegative integers and <span class="MATH"><i>b</i> &gt; 1</span>; output is the ultimate digital root of <span class="MATH"><i>n</i></span> in base-<span class="MATH"><i>b</i></span>.<br />
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==== notes ====<br />
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Often denoted "dr". <span class="MATH"><i>b</i></span> defaults to whichever base in which <span class="MATH"><i>n</i></span> was expressed; output is in base-<span class="MATH"><i>b</i></span>. Thus, if we assume the cultural default of the traditional decimal system, then <span class="MATH"><i>n</i></span> will be expressed in this base and <span class="MATH"><i>b</i></span> will be defaulted to <span class="MATH"><i>b</i> = 2*5</span> and thus omitted (yielding an unary operator here). For a fixed base <span class="MATH"><i>b</i></span> and <span class="MATH"><i>n</i> =</span> eval(" MATH<br />
$n_1n_2...n_m$<br />
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<span class="MATH"><i>n</i><sub>1</sub><i>n</i><sub>2</sub>...<i>n</i><sub>m</sub></span>") where "<span class="MATH"><i>n</i><sub>i</sub></span>" is a digit in base <span class="MATH"><i>b</i></span> for each <span class="MATH"><i>i</i></span>, if <span class="MATH"><i>n</i> &lt; <i>b</i></span> then dr(<span class="MATH"><i>n</i>, <i>b</i></span>) = <span class="MATH"><i>n</i></span> else dr(<span class="MATH"><i>n</i>, <i>b</i></span>) = dr( MATH<br />
$n_1 + n_ 2 +...+ n_m, b$<br />
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<span class="MATH"><i>n</i><sub>1</sub> + <i>n</i><sub>2</sub> + ... + <i>n</i><sub>m</sub>, <i>b</i></span>). This might be extended to values of <span class="MATH"><i>n</i></span> which are not nonnegative integers via various means such as the piecewise function based on modular arithmetic (although this breaks the intuition that dr(9.9) = 9, for example); it may also be extended to exotic bases. This is repeated self-application (left-composition) "[[su'i'e|su'i'e]]" until a fixed point (single-digit numeric string) is output.<br />
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==== gloss words ====<br />
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<ul><li>[[natlang/en/digital root|digital root]]</li><li>[[natlang/en/ultimate digital root|ultimate digital root]]</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 />
Sun Sep 8 06:55:30 2019<br />
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[[comments.html?valsi=32928;definition=71499|[View<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===</div>Nalvaizmiku