We have therefore
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(226)
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(227)
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[1](228)
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The average values of the powers of the anomalies of the energies are perhaps most easily found as follows. We have identically, since is a function of , while is a function of the 's and 's,
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(229)
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i. e., by (108),
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(230)
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- ↑
In the case discussed in the note on page 54 we may easily get
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which, with
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gives
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Hence
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Again
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which with
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gives
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hence
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