In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through repeated application. Common examples include the extension of the addition operation to the summation operation, and the extension of the multiplication operation to the product operation. Other operations, e.g. , the set theoretic operations union and intersection, are also often iterated, but the iterations are not given separate names.

PropertyValue
dbpprop:abstract
  • In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through repeated application. Common examples include the extension of the addition operation to the summation operation, and the extension of the multiplication operation to the product operation. Other operations, e.g. , the set theoretic operations union and intersection, are also often iterated, but the iterations are not given separate names. In print, summation and product are represented by special symbols; but other iterated operators often are denoted by larger variants of the symbol for the ordinary binary operator. Thus, the iterations of the four operations mentioned above are denoted <math>\sum,\ \prod,\ \bigcup,</math> and <math>\bigcap</math>, respectively. In general, there is more than one way to extend a binary operation to operate on finite sequences, depending on whether the operator is associative, and whether the operator has identity elements.
dbpprop:hasPhotoCollection
dbpprop:reference
rdf:type
rdfs:comment
  • In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through repeated application. Common examples include the extension of the addition operation to the summation operation, and the extension of the multiplication operation to the product operation. Other operations, e.g. , the set theoretic operations union and intersection, are also often iterated, but the iterations are not given separate names.
rdfs:label
  • Iterated binary operation
owl:sameAs
skos:subject
foaf:page
is owl:sameAs of