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Difference between revisions of "median algebra"
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| − | '''Median algebra''' is an algebra with a single [[ternary | + | '''Median algebra''' is an [[ternary algebra|algebra]] with a single [[ternary operation|ternary operation]] satisfying a set of three axioms. This is largely a generalized concept of the [[majority function]]. |
== Axioms == | == Axioms == | ||
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| {{ba|Associative Axiom|Associative}} || <math>\text{Maj}(x,w,\text{Maj}(y,w,z)) = \text{Maj}(\text{Maj}(x,w,y),w,z)</math> | | {{ba|Associative Axiom|Associative}} || <math>\text{Maj}(x,w,\text{Maj}(y,w,z)) = \text{Maj}(\text{Maj}(x,w,y),w,z)</math> | ||
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{{stub}} | {{stub}} | ||
Latest revision as of 15:46, 9 December 2015
Median algebra is an algebra with a single ternary operation satisfying a set of three axioms. This is largely a generalized concept of the majority function.
Axioms[edit]
For majority function with :
| Name | Axiom |
|---|---|
| Majority | |
| Commutative | |
| Associative |
 |
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