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MyWikiBiz, Author Your Legacy — Wednesday May 01, 2024
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<font size="3">☞</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
In [[logic]], [[mathematics]], and [[semiotics]], a '''triadic relation''' is an important special case of a [[relation (mathematics)|polyadic or finitary relation]], one in which the number of places in the relation is three. In other language that is often used, a triadic relation is called a '''ternary relation'''. One may also see the adjectives ''3-adic'', ''3-ary'', ''3-dimensional'', or ''3-place'' being used to describe these relations.
In [[logic]], [[mathematics]], and [[semiotics]], a '''triadic relation''' is an important special case of a [[relation (mathematics)|polyadic or finitary relation]], one in which the number of places in the relation is three. In other language that is often used, a triadic relation is called a '''ternary relation'''. One may also see the adjectives ''3-adic'', ''3-ary'', ''3-dimensional'', or ''3-place'' being used to describe these relations.
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
|+ <math>L_0 ~=~ \{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 0 \}</math>
|+ <math>L_0 ~=~ \{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 0 \}</math>
|- style="background:whitesmoke"
|- style="background:#e6e6ff"
! <math>X\!</math> !! <math>Y\!</math> !! <math>Z\!</math>
! <math>X\!</math> !! <math>Y\!</math> !! <math>Z\!</math>
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|-
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
|+ <math>L_1 ~=~ \{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 1 \}</math>
|+ <math>L_1 ~=~ \{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 1 \}</math>
|- style="background:whitesmoke"
|- style="background:#e6e6ff"
! <math>X\!</math> !! <math>Y\!</math> !! <math>Z\!</math>
! <math>X\!</math> !! <math>Y\!</math> !! <math>Z\!</math>
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|+ <math>L_\operatorname{A} ~=~ \operatorname{Sign~Relation~of~Interpreter~A}</math>
|+ <math>L_\operatorname{A} ~=~ \operatorname{Sign~Relation~of~Interpreter~A}</math>
|- style="background:whitesmoke"
|- style="background:#e6e6ff"
! style="width:33%" | <math>\operatorname{Object}</math>
! style="width:33%" | <math>\operatorname{Object}</math>
! style="width:33%" | <math>\operatorname{Sign}</math>
! style="width:33%" | <math>\operatorname{Sign}</math>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; font-weight:bold; text-align:center; width:60%"
|+ <math>L_\operatorname{B} ~=~ \operatorname{Sign~Relation~of~Interpreter~B}</math>
|+ <math>L_\operatorname{B} ~=~ \operatorname{Sign~Relation~of~Interpreter~B}</math>
|- style="background:whitesmoke"
|- style="background:#e6e6ff"
! style="width:33%" | <math>\operatorname{Object}</math>
! style="width:33%" | <math>\operatorname{Object}</math>
! style="width:33%" | <math>\operatorname{Sign}</math>
! style="width:33%" | <math>\operatorname{Sign}</math>
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* [http://mywikibiz.com/Triadic_relation Triadic Relation], [http://mywikibiz.com/ MyWikiBiz]
* [http://mywikibiz.com/Triadic_relation Triadic Relation], [http://mywikibiz.com/ MyWikiBiz]
* [http://beta.wikiversity.org/wiki/Triadic_relation Triadic Relation], [http://beta.wikiversity.org/ Beta Wikiversity]
* [http://beta.wikiversity.org/wiki/Triadic_relation Triadic Relation], [http://beta.wikiversity.org/ Wikiversity Beta]
* [http://www.netknowledge.org/wiki/Triadic_relation Triadic Relation], [http://www.netknowledge.org/ NetKnowledge]
* [http://netknowledge.org/wiki/Triadic_relation Triadic Relation], [http://netknowledge.org/ NetKnowledge]
* [http://planetmath.org/encyclopedia/TriadicRelation.html Triadic Relation], [http://planetmath.org/ PlanetMath]
* [http://planetmath.org/encyclopedia/TriadicRelation.html Triadic Relation], [http://planetmath.org/ PlanetMath]
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* [http://www.getwiki.net/-Triadic_Relation Triadic Relation], [http://www.getwiki.net/ GetWiki]
* [http://getwiki.net/-Triadic_Relation Triadic Relation], [http://getwiki.net/ GetWiki]
* [http://www.wikinfo.org/index.php/Triadic_relation Triadic Relation], [http://www.wikinfo.org/ Wikinfo]
* [http://wikinfo.org/index.php/Triadic_relation Triadic Relation], [http://wikinfo.org/ Wikinfo]
* [http://www.textop.org/wiki/index.php?title=Triadic_relation Triadic Relation], [http://www.textop.org/wiki/ Textop Wiki]
* [http://textop.org/wiki/index.php?title=Triadic_relation Triadic Relation], [http://textop.org/wiki/ Textop Wiki]
* [http://en.wikipedia.org/w/index.php?title=Triadic_relation&oldid=108548758 Triadic Relation], [http://en.wikipedia.org/ Wikipedia]
* [http://en.wikipedia.org/w/index.php?title=Triadic_relation&oldid=108548758 Triadic Relation], [http://en.wikipedia.org/ Wikipedia]
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[[Category:Inquiry]]
[[Category:Inquiry]]
[[Category:Open Educational Resource]]
[[Category:Peer Educational Resource]]
[[Category:Peer Educational Resource]]
[[Category:Artificial Intelligence]]
[[Category:Artificial Intelligence]]
