https://wiki.lojban.io/index.php?action=history&feed=atom&title=pi%27au%27epi'au'e - Revision history2026-04-28T23:06:10ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=pi%27au%27e&diff=12685&oldid=prevNalvaizmiku: Import words via API2026-01-13T16:01:23Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
pi'au'e<br />
==== type ====<br />
experimental cmavo<br />
==== creator ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== time entered ====<br />
Sun Nov 19 23:27:13 2017<br />
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== English ==<br />
=== Definition #70069 - Preferred ===<br />
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==== selma'o ====<br />
VUhU<br />
==== definition ====<br />
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mekso ternary operator: extract digit from number; <span class="MATH"><i>X</i><sub>2</sub></span>nd macrodigit/term of number/tuple <span class="MATH"><i>X</i><sub>1</sub></span> when <span class="MATH"><i>X</i><sub>1</sub></span> is expressed in base/basis <span class="MATH"><i>X</i><sub>3</sub></span>.<br />
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==== notes ====<br />
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<span class="MATH"><i>X</i><sub>2</sub></span> defaults to 0; it must always be an integer. For the purposes of this description, suppose temporarily that the base is decimal/ten; this is for simplicity - statements generalize to other bases. The zeroth digit (<span class="MATH"><i>X</i><sub>2</sub></span> = <span class="MATH">0</span>) is the singles digit; the first digit (<span class="MATH"><i>X</i><sub>2</sub></span> = <span class="MATH">1</span>) is the tens digit; the <span class="MATH"><i>n</i></span>th digit (for any integer <span class="MATH"><i>n</i></span>) is the digit which represents the multiple of <span class="MATH">10<sup>n</sup></span>; the positive-last (<span class="MATH"><i>X</i><sub>2</sub></span> = [[ma'uro|ma'uro]]) digit is the most significant digit/figure in a finite number expressed in decimal; the negative-first (<span class="MATH"><i>X</i><sub>2</sub></span> = <span class="MATH">-1</span>) is the one-tenths digit; the negative-last digit for a terminating expansion in decimal is the least significant digit/figure of the number when expressed in decimal. Only macrodigits are extracted; so, in Roman numeral notation, decimal 120 = CXX, and the second (or positive-last) digit is C (which equals 100). <span class="MATH"><i>X</i><sub>1</sub></span> may be expressed in any base but <span class="MATH"><i>X</i><sub>3</sub></span> forces a conversion to its own base for the purposes of this extraction; <span class="MATH"><i>X</i><sub>1</sub></span>, <span class="MATH"><i>X</i><sub>2</sub></span>, <span class="MATH"><i>X</i><sub>3</sub></span>, and the result of the extraction may all be expressed in any base (independent of one another) and the default is assumed to be default of the cultural context for the math (according to the CLL, this is usually decimal), explicitly differing from this base requires [[ju'u|ju'u]] or similar (which is allowed). The result/output of this function is a digit (thus, it concatenates with other PA automatically) and must filter through the interpretation rules in order to be considered a number; unless it explicitly expressed otherwise, it is assumed to be in the base of whatever digit-string it occurs in or, failing this/being alone, the base used in the cultural context of the text - it is not necessarily expressed in base-<span class="MATH"><i>X</i><sub>3</sub></span>.<br />
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==== gloss words ====<br />
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<ul><li>[[natlang/en/digit extraction|digit extraction]]</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 />
Wed Mar 7 14:47:58 2018<br />
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[[comments.html?valsi=31630;definition=70069|[View<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===</div>Nalvaizmiku