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Subject: [jvsw] Definition Edited At Word socni -- By krtisfranks
Date: Wed, 22 Feb 2017 12:21:17 -0800
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 Content preview:  In jbovlaste, the user krtisfranks has edited a definition
    of "socni" in the language "English". Differences: 5,5c5,5 < Denote $x_1$
    by "♤"; for any elements x,y,z in the set of concern, if '♤' is associative,
    then (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 $x_1$ 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}, {sezni},
    {dukni}. --- > Denote $x_1$ by "♤"; for any elements x,y,z in the set of
    concern, if '♤' is associative, then (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 $x_1$ 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 [...] 
 
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In jbovlaste, the user krtisfranks has edited a
definition of "socni" in the language "English".

Differences:

5,5c5,5
< 		Denote $x_1$ by "♤"; for any elements x,y,z in the set of concern, if '♤' is associative, then (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 $x_1$ 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}, {sezni}, {dukni}.
---
> 		Denote $x_1$ by "♤"; for any elements x,y,z in the set of concern, if '♤' is associative, then (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 $x_1$ 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}, {sezni}, {dukni}, {facni}.


Old Data:

	Definition:
		$x_1$ is a binary operator which is associative in space/under conditions/on (or endowing) set $x_2$.

	Notes:
		Denote $x_1$ by "♤"; for any elements x,y,z in the set of concern, if '♤' is associative, then (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 $x_1$ 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}, {sezni}, {dukni}.

	Jargon:
		

	Gloss Keywords:
		Word: associative operator, In Sense: 
		Word: associative property, In Sense: 

	Place Keywords:


New Data:

	Definition:
		$x_1$ is a binary operator which is associative in space/under conditions/on (or endowing) set $x_2$.

	Notes:
		Denote $x_1$ by "♤"; for any elements x,y,z in the set of concern, if '♤' is associative, then (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 $x_1$ 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}, {sezni}, {dukni}, {facni}.

	Jargon:
		

	Gloss Keywords:
		Word: associative operator, In Sense: 
		Word: associative property, In Sense: 

	Place Keywords:


You can go to <http://jbovlaste.lojban.org/dict/socni> to see it.