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In mathematics, characteristic function can refer to any of several distinct concepts: * As a synonym for indicator function, that is the function :: :which for a given subset ''A'' of ''X'', has value 1 at points of ''A'' and 0 at points of ''X'' − ''A''. * In probability theory, the characteristic function of any probability distribution on the real line is given by the following formula, where ''X'' is any random variable with the distribution in question: ::, :where E means expected value. This concept extends to multivariate distributions. * The characteristic function in convex analysis: :: * The cooperative game in game theory. * The characteristic polynomial in linear algebra. * The characteristic state function in statistical mechanics. * The Euler characteristic, a topological invariant. * The Receiver operating characteristic in statistical decision theory. * The point characteristic function in statistics. 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「characteristic function」の詳細全文を読む スポンサード リンク
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