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Map (mathematics) In mathematics and related technical fields, the term map or mapping is often a synonym for function . Along these lines, a partial map is a partial function , and a total map is a total function .
In many specific branches of mathematics, the term is used for a function with a specific property relevant to that branch, such as a continuous function in topology , a linear transformation in linear algebra , etc. (In Wikipedia, we always include a relevant adjective like "continuous" or "smooth" to avoid confusion .)
In formal logic , the term is sometimes used for a functional predicate , whereas a function is a model of such a predicate in set theory .
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