how is mathematics expressed,represented,and used
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Step-by-step explanation:
In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures.[1] 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. More specifically, given a set Π of properties and relations, a Π-representation of some structure X is a structure Y that is the image of X under a homomorphism that preserves Π. The label representation is sometimes also applied to the homomorphism itself (such as group homomorphism in group theory)
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