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a description of an abstract data type in terms of the methods it exports, while a domain is a concrete implementation of one of more categories
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an abstract and the application of model management to other practical problems
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an abstract mathematical model of how mathematical systems are related together
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an abstract term
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an axiomatic formulation of this idea of relating mathematical structures to the structure-preserving processes between them
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In mathematics, categories allow one to formalize notions involving abstract structure and processes that preserve structure. Categories appear in virtually every branch of modern mathematics and are a central unifying notion. The study of categories in their own right is known as category theory.
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