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→The logarithmic derivative: Removed italics and article from section title. |
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For a fixed prime ''p'', '''''ν''<sub>''p''</sub>(''n'')''', defined above as the exponent of the largest power of ''p'' dividing ''n'', is completely additive.
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<math>\operatorname{ld}(n)=\frac{D(n)}{n} = \sum_{\stackrel{p\mid n}{p\text{ prime}}} \frac {v_p(x)} {p}</math>, where <math>D(n)</math> is the arithmetic derivative.
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