Chord complexity: Difference between revisions

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 $$
-\displaystyle M_p(x_1, x_2, \ldots, x_N) = \left(\frac{1}{N} \left(x_1^p + x_2^p + ... + x_N^p \right) \right)^{(1/p)}
+\displaystyle M_p\left(x_1, x_2, \ldots, x_N\right) = \left(\frac{x_1^p + x_2^p + ... + x_N^p}{N}\right)^{1/p}
 $$
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 $$
-\displaystyle D_s(x_1, x_2, \ldots, x_N) = \frac{1}{N \cdot M_{-s}(x_1, x_2, \ldots, x_N)^{-s}} = \frac{1}{N} \cdot M_{-s}(x_1, x_2, \ldots, x_N)^{s}
+\displaystyle D_s\left(x_1, x_2, \ldots, x_N\right) = \frac{M_{-s}\left(x_1, x_2, \ldots, x_N\right)^{s}1}{N}
 $$
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 $$
-\displaystyle D_s(x_1, x_2, \ldots, x_N)^{1/s} \cdot N^{1/s} = M_{-s}(x_1, x_2, \ldots, x_N)
+\displaystyle D_s\left(x_1, x_2, \ldots, x_N\right)^{1/s} \cdot N^{1/s} = M_{-s}\left(x_1, x_2, \ldots, x_N\right)
 $$
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 $$
-\displaystyle D_s(x_1, x_2, \ldots, x_N)^{1/s} = \frac{1}{N^{1/s}} M_{-s}(x_1, x_2, \ldots, x_N)
+\displaystyle D_s\left(x_1, x_2, \ldots, x_N\right)^{1/s} = \frac{1}{N^{1/s}} M_{-s}\left(x_1, x_2, \ldots, x_N\right)
 $$