In general, a function is part of an answer to a question about why some object or process occurred in a system that evolved or was designed with some goal. Thus function refers forward from the object or process, along some chain of causes to the goal or evolutionary success. The common feature of a function is that it produces some kind of result.
Function may refer to:
the role of a component in an assembly, or of an element in a systemic aggregate (such as a person within a group)
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As a mathematical term, "function" was coined by Gottfried Leibniz in 1694, to describe a quantity related to a curve, such as a curve's slope at a specific point of a curve.
The squaring function is the inverse of the non-negative square root function.
The number of computable functions from integers to integers is countable, because the number of possible algorithms is. The number of all functions from integers to integers is higher: the same as the cardinality of the real numbers.
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