High Quality Content by WIKIPEDIA articles! In mathematics, representation is a very general relationship that expresses similarities between objects. Roughly speaking, a collection Y of mathematical objects may be said to represent another collection X of objects, provided that the properties and relationships existing among the representing objects yi conform in some consistent way to those existing among the corresponding represented objects xi. Somewhat more formally, for a set ? of properties and relations, a ?-representation of some structure X is a structure Y that is the image of X under an isomorphism that preserves ?. The label representation is sometimes also applied to the isomorphism itself.

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