# Pointwise

## Applying operations to functions in terms of values for each input "point" / From Wikipedia, the free encyclopedia

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In mathematics, the qualifier **pointwise** is used to indicate that a certain property is defined by considering each value $f(x)$ of some function $f.$ An important class of pointwise concepts are the *pointwise operations*, that is, operations defined on functions by applying the operations to function values separately for each point in the domain of definition. Important relations can also be defined pointwise.