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Superadditive set function : ウィキペディア英語版
Superadditive set function
In mathematics, a superadditive set function is a set function whose value, informally, has the property that the value of function on the union of two sets is at least the sum of values of the function on each of the sets. This is thematically related to the superadditivity property of real-valued functions. It is contrasted with to subadditive set function.
== Definition ==
Let \Omega be a set and f \colon 2^ \rightarrow \mathbb be a set function, where 2^\Omega denotes the power set of \Omega. The function ''f'' is ''superadditive'' if for any two subsets S and T of \Omega, we have f(S) + f(T) \leq f(S \cup T).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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