In mathematics, Baire functions are certain sets of functions. They are studied in several fields of mathematics, including real analysis and topology.Many important functions in analysis which are not continuous are of Baire class one. For instance, the derivative of any differentiable function is either continuous (class 0) or class 1.In mathematics, a function is a relation between a given set of elements called the domain and a set of elements called the codomain. The function associates each element in the domain with exactly one element in the codomain. The elements so related can be any kind of thing (words, objects, qualities) but are typically mathematical quantities, such as real numbers.

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