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Moreover, Gaussian logs yield greater accuracy of result than the traditional computing method and help 5-digit log values to be sufficiently accurate for this method. The use of "Gaussians" by Bruce is original in the field of navigation.
The file size distribution of publicly available audio and video data files follows a log-normal distribution over five orders of magnitude. [98] File sizes of 140 million files on personal computers running the Windows OS, collected in 1999. [99] [62] Sizes of text-based emails (1990s) and multimedia-based emails (2000s). [62]
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is [ 2 ] [ 3 ] f ( x ) = 1 2 π σ 2 e − ( x − μ ) 2 2 σ 2 . {\displaystyle f(x)={\frac {1}{\sqrt {2\pi \sigma ^{2 ...
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The natural logarithm of e itself, ln e, is 1, because e 1 = e, while the natural logarithm of 1 is 0, since e 0 = 1. The natural logarithm can be defined for any positive real number a as the area under the curve y = 1/x from 1 to a [4] (with the area being negative when 0 < a < 1). The simplicity of this definition, which is matched in many ...
In probability and statistics, the logarithmic distribution (also known as the logarithmic series distribution or the log-series distribution) is a discrete probability distribution derived from the Maclaurin series expansion
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There are three unknown parameters for a 1D Gaussian function (a, b, c) and five for a 2D Gaussian function (;,;,). The most common method for estimating the Gaussian parameters is to take the logarithm of the data and fit a parabola to the resulting data set.