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Reference.org
Pointwise
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the qualifier pointwise is used to indicate that a certain property is defined by considering each value f ( x ) {\displaystyle f(x)} of some <a href="/facts/Function_(mathematics)/CdReEKCh">function</a> f . {\displaystyle f.} An important class of pointwise concepts are the <i>pointwise operations</i>, that is, operations defined on functions by applying the operations to function values separately for each point in the <a href="/facts/Domain_of_a_function/FQvoeUpX">domain</a> of definition. Important <a href="/facts/Theory_of_relations/JkNnVYNj">relations</a> can also be defined pointwise. </p>