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幂平均
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幂平均
mì píng jūn
设a1,a2,…,an为n个正数,则mra1,a2,…,an=ar1+ar2+…+arnn1r称为这n个正数的r次幂平均。当r=1时,即为算术平均;当r→0时,mra的极限存在,即为几何平均;当r=-1时,即为调和平均。
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