Construct · 1 fields · 1 citations

operation: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaningringcompare the meanings
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operation1 CONSTRUCTMath operationBIRKHOFF · COMBINING RULE

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Mathematics

a rule that takes one or more values from a set and returns another value of that set, like addition.

A rule that takes one or more values from a set and returns another value of that set: addition and multiplication are the familiar cases, where two numbers are combined to give a third, and each such rule is studied through properties like being commutative or associative. Birkhoff's 1935 On the Structure of Abstract Algebras treated a mathematical structure as a set together with a collection of these operations, founding the study of algebras in general rather than one number system at a time. The referent is an abstract function on a set, judged by its formal properties, and it has nothing to do with a cut made in a patient, a campaign run by an army, or the running of a factory.[1]

Unit
One function that maps a tuple of a set's elements to an element of that set
Recovery means
Not applicable
Measured by
Specified by its arity and its rules, and checked against properties such as closure, associativity, commutativity, and the existence of an identity

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Nearby constructs

campaign2 fields · 4 citationsjingle · one word, two constructslevel1 fields · 1 citationsanchor · a standalone constructquality6 fields · 13 citationsjingle · one name, six constructs

References

  1. Birkhoff, G. (1935). On the structure of abstract algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 31(4), 433–454. https://doi.org/10.1017/S0305004100013463

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