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Composition of relations

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  1. In mathematics, the composition of binary relations is a concept of forming a new relation S o R from two given relations R and S, having as its most well-known special case the composition of functions

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 14, 2008
  2. If R\subseteq X\times Y and S\subseteq Y\times Z are two binary relations, then their compose S\circ R is the relation In other words, S\circ R\subseteq X\times Z is defined by the rule that says (x,z)\in S\circ R if and only if there is an element y

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 14, 2008
  3. Other forms of composition of relations, which apply to general n-place relations instead of binary relations, are found in the join operation of relational algebra

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 14, 2008
  4. The usual composition of two binary relations as defined here can be obtained by taking their join, leading to a ternary relation, followed by a projection that removes the middle component

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 14, 2008
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