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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, , in R''n'' one can obtain the ''symmetric rearrangement'' of , called , by : where is the volume of the unit ball and where is the volume of . Notice that this is just the ball centered at the origin whose volume is the same as that of the set .
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「symmetric decreasing rearrangement」の詳細全文を読む
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