# characteristic function

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## characteristic function

n
1. (Mathematics) maths a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers
2. (Statistics) statistics a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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The selection of the game characteristic function, representing the interests attributed to each player in a coalitional game, is a precondition for the formation of coalitions .
For every small cover M over P, there is a characteristic function A with [Z.sup.n.sub.2]-homeomorphism M ([lambda]) [right arrow] M covering the identity on P.
A nonnegative continuous function [phi] is said to be a general characteristic function of [OMEGA], if and only if that
The characteristic function V(z;S), S [subset] N in the subgame G(z) is defined in a classical way:[mathematical expression not reproducible], where [mathematical expression not reproducible] is a value of zero-sum game played between coalition S acting as player 1 and coalition N \ S acting as player 2, with the payoff of coalition S equal to [mathematical expression not reproducible].
The function [[DELTA].sub.1] ([lambda]) is the characteristic function of the periodic problem, while [[DELTA].sub.2]([lambda]) is the characteristic function of the semi-periodic problem.
The precision of the analytical methods was modeled using the characteristic function. The [TE.sub.a] was specified as a proportion of the concentration and did not change in line with imprecision.
The zeros [[lambda].sub.n] of characteristic function coincide with the eigenvalues of the boundary value problem (1.1), (1.2).
Based on this principle, across the entire surface of the sound source, sound field characteristic function of the distribution of the entire surface of the sound source can be obtained inside in time [[t.sub.1], [t.sub.2]].
Finally, the characteristic function of the temperature model can be written explicitly.
Those generating functions are a predecessor of characteristic functions [10, page 286].
The competitors are three types of estimators for y based on empirical characteristic function method: (1) [[??].sub.MLE-cf]; (2) [[??].sub.SQ-cf]; (3) [[??].sub.CF-cf]; and (4) Mohammadi et al.

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