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A Singular Contiguity
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Excursions in mathematics and theoretical linguistics
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A Singular Contiguity | Excursions in mathematics and theoretical linguistics A Singular Contiguity Excursions in mathematics and theoretical linguistics Home About “A Singular Contiguity” Bibliography Glossary Multiset operations as binary operations (part 1) June 9, 2008 Review: Associativity, commutativity, and idempotence A binary operation on a set is a function . It is usually written using an infix notation rather than a functional notation such as . The operation is associative if and only if for all . It is commutative if and only if for all . It is idempotent if and only if for all . We’ve defined four operations on families of multisets where for all : sums , products , intersections , and unions . As I’ve already commented in a couple of places, we can restrict our attention to families where . This provides us with four binary operations on . Today’s post collects together the properties of these binary operat...
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