https://wiki.lojban.io/index.php?action=history&feed=atom&title=socnisocni - Revision history2026-04-28T06:09:14ZRevision history for this page on the wikiMediaWiki 1.45.3https://wiki.lojban.io/index.php?title=socni&diff=17159&oldid=prevNalvaizmiku: Import words via API2026-01-13T16:38:32Z<p>Import words via API</p>
<p><b>New page</b></p><div>==== valsi ====<br />
socni<br />
==== type ====<br />
experimental gismu<br />
==== creator ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== time entered ====<br />
Sun Feb 19 05:11:07 2017<br />
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== English ==<br />
=== Definition #69358 ===<br />
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==== definition ====<br />
x<sub>1</sub> is a binary operator which is associative in space/under conditions/on (or endowing) set x<sub>2</sub>.<br />
==== notes ====<br />
Denote x<sub>1</sub> by "♤"; for any elements x,y,z in the set of concern, '♤' is associative iff (x♤y)♤z = x♤(y♤z), where equality is defined in the space and parenthetic grouping denotes higher prioritization/earlier application. An operator being associative usually results, notationally, in the dropping of explicit parentheses. "Associative property"/"associativity" = "ka(m)( )socni". Notice that a space is understood to support association (or 'be associative') under a given operator x<sub>1</sub> in the sense that its elements and equality relation are such that all ordered pairs can be exchanged in application under the operator while maintaining equality; this is similar to a space being endowed with identity element(s) under a given operator and also an operator have identity in a space - in English, associativity is often understood to be a property of a function and the existence of an identity to be a property of a space, but they are wed in Lojban, as they should be, for neither makes sense without the other and the property is a relationship between the operator and the space. See also: [[cajni|cajni]], [[sezni|sezni]], [[dukni|dukni]], [[facni|facni]].<br />
==== gloss words ====<br />
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<ul><li>[[natlang/en/associative operator|associative operator]]</li><li>[[natlang/en/associative property|associative property]]</li></ul><br />
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==== created by ====<br />
[[personal/krtisfranks|krtisfranks]]<br />
==== vote information ====<br />
0<br />
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==== time ====<br />
Fri Jul 22 05:44:43 2022<br />
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=== Etymology ===<br />
== lojban ==<br />
=== Definition #72950 - Preferred ===<br />
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==== definition ====<br />
ro da poi cmima x<sub>2</sub> zo'u ro de poi cmima x<sub>2</sub> zo'u ro di poi cmima x<sub>2</sub> zo'u li vei mo'e da na'u x<sub>1</sub> mo'e de ve'o na'u x<sub>1</sub> mo'e di cu du li mo'e da na'u x<sub>1</sub> vei mo'e de na'u x<sub>1</sub> mo'e di ve'o<br />
==== jargon type ====<br />
cmaci<br />
==== gloss words ====<br />
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<ul><li>[[natlang/jbo/associative|associative]]</li></ul><br />
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==== created by ====<br />
[[personal/varikvalefor|varikvalefor]]<br />
==== vote information ====<br />
1<br />
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==== time ====<br />
Tue Jul 19 22:07:11 2022<br />
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=== Etymology ===</div>Nalvaizmiku