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In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value of some function 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. == Pointwise operations == Examples include : where . See pointwise product, scalar. Pointwise operations inherit such properties as associativity, commutativity and distributivity from corresponding operations on the codomain. An example of an operation on functions which is ''not'' pointwise is convolution. By taking some algebraic structure in the place of , we can turn the set of all functions to the carrier set of into an algebraic structure of the same type in an analogous way. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「pointwise」の詳細全文を読む スポンサード リンク
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