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symmetric decreasing rearrangement : ウィキペディア英語版
symmetric decreasing rearrangement
In mathematics, the symmetric decreasing rearrangement of a function is a function which is symmetric and decreasing, and whose level sets are of the same size as those of the original function.
== Definition for sets ==
Given a measurable set, A, in R''n'' one can obtain the ''symmetric rearrangement'' of A , called A^
*, by
: A^
* = \,
where \omega_n is the volume of the unit ball and where |A| is the volume of A. Notice that this is just the ball centered at the origin whose volume is the same as that of the set A .

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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