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offset_logarithmic_integral [2014/02/26 00:01] nikolaj |
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| - | ===== Offset logarithmic integral ===== | ||
| - | ==== Function ==== | ||
| - | | @#FFBB00: $ \mathrm{Li}: \mathbb R_+\to \mathbb R_+$ | | ||
| - | | @#FFBB00: $ \mathrm{Li}(x) := \mathrm{li}(x)-\mathrm{li}(2) $ | | ||
| - | ==== Discussion ==== | ||
| - | === Alternative definition === | ||
| - | $ \mathrm{Li}(x) := \int_2^x \frac{1}{\ln(t)}\mathrm d t $ | ||
| - | |||
| - | $ \mathrm{Li}(x)\approx\pi(x) $ | ||
| - | >todo: [[Prime counting-function]] | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Logarithmic_integral_function|Logarithmic integral function]] | ||
| - | ==== Parents ==== | ||
| - | === Requirements === | ||
| - | [[Logarithmic integral function]] | ||
