From WikiChip
Difference between revisions of "median algebra"
(Created page with "'''Median algebra''' is an algebra with a single ternary operation satisfying a set of three axioms. This is largely a generalized concept of the majorit...") |
m |
||
(One intermediate revision by the same user not shown) | |||
Line 1: | Line 1: | ||
− | '''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 == | ||
Line 13: | Line 13: | ||
| {{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> | ||
|} | |} | ||
+ | |||
{{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 |
![]() |
This article is still a stub and needs your attention. You can help improve this article by editing this page and adding the missing information. |