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  "body": "\n## Summary\n\nA ternary operation on a set $A$ is a [[finitary operation|EJ8YJVM9BW]] of [[arity|MSXX2P86CY]] $3$, a function from $A^3$ to $A$.\nTernary operations appear naturally in universal algebra.\nExamples are the operation $x y^{-1} z$ of a [[group|G5S1M9]], which turns a group into a [[heap|V389A4WGH9]], and the [[ternary discriminator|72PG6XCQ7D]].\nMany conditions on [[varieties|AJNZJD8442]] are stated with ternary terms, such as a [[Mal'cev term|Y203PPTS61]] or a [[majority term|9879ZMW5AA]].\n\n## Explanations\n\n### L1 human\n\nA ternary operation takes three elements and gives one.\nOn the integers, $(x, y, z) \\mapsto x - y + z$ is an example.\nOn a totally ordered set, the median of three elements, the one in the middle, is another example.\nThe rule \"if $x$ then $y$ else $z$\" on truth values is a third example.\n",
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