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・ Character-oriented terminal
・ Characterisation (law)
・ Characterisation of pore space in soil
・ Characteristic
・ Characteristic (algebra)
・ Characteristic 2 type
・ Characteristic admittance
・ Characteristic based product configurator
・ Characteristic class
・ Characteristic curve
・ Characteristic energy
・ Characteristic energy length scale
・ Characteristic equation
・ Characteristic equation (calculus)
・ Characteristic exponent
Characteristic function
・ Characteristic function (convex analysis)
・ Characteristic function (probability theory)
・ Characteristic impedance
・ Characteristic length
・ Characteristic mode analysis
・ Characteristic multiplier
・ Characteristic number (fluid dynamics)
・ Characteristic polynomial
・ Characteristic power series
・ Characteristic property
・ Characteristic set
・ Characteristic state function
・ Characteristic subgroup
・ Characteristic time


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Characteristic function : ウィキペディア英語版
Characteristic function
In mathematics, characteristic function can refer to any of several distinct concepts:
* As a synonym for indicator function, that is the function
::\mathbf_A\colon X \to \,
: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:
::\varphi_X(t) = \operatorname\left(e^\right),
:where E means expected value. This concept extends to multivariate distributions.
* The characteristic function in convex analysis:
::\chi_ (x) := \begin 0, & x \in A; \\ + \infty, & x \not \in A. \end
* 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



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