In
mathematics, the qualifier
pointwise is used to indicate that a certain property is defined by considering each value
![](http://info.babylon.com/onlinebox.cgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=751)
of some function
![](http://info.babylon.com/onlinebox.cgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=2919)
An important class of pointwise concepts are the
pointwise operations — 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.