https://wiki.lojban.io/index.php?action=history&feed=atom&title=utkautka - Revision history2026-04-27T23:21:04ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=utka&diff=20449&oldid=prevNalvaizmiku: Import words via API2026-01-13T17:05:39Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
utka<br />
==== type ====<br />
fu'ivla<br />
==== creator ====<br />
[[personal/lalxu|lalxu]]<br />
==== time entered ====<br />
Sun May 27 12:50:39 2018<br />
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== English ==<br />
=== Definition #70722 ===<br />
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==== definition ====<br />
x<sub>1</sub> and x<sub>2</sub> are path-linked by binary predicate x<sub>3</sub> (ka) via intermediate steps x<sub>4</sub> (ce'o; (ordered) list).<br />
==== notes ====<br />
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For example, "lo stedu ku utka lo birka lo ka (ce'u ce'u) lamji" is true, with <span class="MATH"><i>x</i><sub>4</sub></span> equal to something like "lo cnebo ce'o lo cutne ce'o lo janco". (Also: "lo stedu ku [[lamji'utka|lamji'utka]] lo birka".) Formally, "utka MATH<br />
$(A,B,P,[L_1, ..., L_n])$<br />
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<span class="MATH">(<i>A</i>, <i>B</i>, <i>P</i>,[<i>L</i><sub>1</sub>,..., <i>L</i><sub>n</sub>])</span>" is equivalent to "<span class="MATH"><i>P</i>(<i>A</i>, <i>L</i><sub>1</sub>)</span> and MATH<br />
$P(L_1, L_2)$<br />
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<span class="MATH"><i>P</i>(<i>L</i><sub>1</sub>, <i>L</i><sub>2</sub>)</span> and ... and MATH<br />
$P(L_<a class="undefined" href="../dict/(n-1)?bg=1;langidarg=2">(n-1)</a>,L_n)$<br />
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<span class="MATH"><i>P</i>(<i>L</i><sub>(n-1)</sub>, <i>L</i><sub>n</sub>)</span> and <span class="MATH"><i>P</i>(<i>L</i><sub>n</sub>, <i>B</i>)</span>". The <span class="MATH"><i>x</i><sub>4</sub></span> may be empty ("lo [[nomei|nomei]]") if there are no intermediate steps (id est: the relevant path-linking between <span class="MATH"><i>x</i><sub>1</sub></span> and <span class="MATH"><i>x</i><sub>2</sub></span> is direct). <span class="MATH"><i>x</i><sub>4</sub></span> is a list of only the intermediate steps between <span class="MATH"><i>x</i><sub>1</sub></span> and <span class="MATH"><i>x</i><sub>2</sub></span> and does not include <span class="MATH"><i>x</i><sub>1</sub></span> or <span class="MATH"><i>x</i><sub>2</sub></span> themselves; it is ordered so that the relevant relation (<span class="MATH"><i>x</i><sub>3</sub></span>) holds between <span class="MATH"><i>x</i><sub>1</sub></span> and the first term/entry of the list (in that order), between each successive pair of consecutive terms/entries of the list (in the order in which they are listed), and between the last term/entry of the list and <span class="MATH"><i>x</i><sub>2</sub></span> (in that order). <span class="MATH"><i>x</i><sub>4</sub></span> may not be unique. <span class="MATH"><i>x</i><sub>3</sub></span> may not be symmetric (commutative) under exchange of its operands. The predicate may be asymmetrical (thus, graph-theoretically, the edges may be directed). Neither acyclicity nor geodesicity is implied. At the level of conceptual resolution being employed in the context of its usage, <span class="MATH"><i>x</i><sub>4</sub></span> should specify every node along at least one path from <span class="MATH"><i>x</i><sub>1</sub></span> to <span class="MATH"><i>x</i><sub>2</sub></span> in order and without any gaps/omissions. See also: ".[[efku|efku]]", "[[ki'irsi|ki'irsi]]", ".[[utka'au|utka'au]]", "[[takni|takni]]", "[[taknyklojyzilpra|taknyklojyzilpra]]". See ".[[utkaro|utkaro]]" and ".[[utkakpu|utkakpu]]" for somewhat stronger conditions, and ".[[utkaje|utkaje]]" for a stronger condition still; see ".[[utkazo|utkazo]]" for a weaker condition than this word (namely: allowing omissions in the path specification), and ".[[utkazau|utkazau]]" for an alternative.<br />
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==== gloss words ====<br />
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<ul><li>[[natlang/en/path-linked nodes|path-linked nodes]]</li></ul><br />
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==== created by ====<br />
[[personal/lalxu|lalxu]]<br />
==== vote information ====<br />
3<br />
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==== time ====<br />
Sat Apr 15 02:42:17 2023<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===<br />
== lojban ==<br />
=== Definition #70723 - Preferred ===<br />
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==== definition ====<br />
x<sub>1</sub> utka x<sub>2</sub> fi x<sub>3</sub> fo x<sub>4</sub> noi porsi .ijo x<sub>1</sub> ce'o x<sub>4</sub> ce'o x<sub>2</sub> cu ki'irsi x<sub>3</sub><br />
==== notes ====<br />
ckini zo [[ki'irsi|ki'irsi]] .e zo [[ko'orsi|ko'orsi]]<br />
==== created by ====<br />
[[personal/lalxu|lalxu]]<br />
==== vote information ====<br />
2<br />
<br />
==== time ====<br />
Sun May 27 12:56:05 2018<br />
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<br/><font size="+1">Examples</font><br />
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=== Etymology ===</div>Nalvaizmiku