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Applying this to all possible measurement scales gives the logarithmic distribution of Benford's law.
Frequency values approximate a logarithmic distribution with distance.
R. A. Fisher described the logarithmic distribution in a paper that used it to model relative species abundance.
This gives x which logarithmic distribution over the desired range; rejection sampling is then used to get a uniform distribution.
(7) The logarithmic distribution of the temperature is sketched in the inset of the thumbnail figure.
Lagrange also suggested in 1781 two other distributions for errors - a Raised cosine distribution and a logarithmic distribution.
Examination of the velocity profiles shows that the profiles deviate from the logarithmic distribution for about 40% of the flow depth.
However, some further well-known distributions are available if the recursion above need only hold for a restricted range of values of k: for example the logarithmic distribution and the discrete uniform distribution.
Whereas most cryptocurrencies use an approach that has their block reward halved every so often, Woodcoin uses a logarithmic distribution model which gradually reduces the number of coins produced with each new block.