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If a number, x, is expressed as a power of another number, y, that is, if x = yn, then n is said to be the logarithm of x to base y. Common logarithms are to the base 10; natural or Napierian logarithms are to the base e, a mathematical constant.
[G. logos, word, ratio, + arithmos, number]
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This verifies a logarithmic function characterizing a direct causal relationship between volumetric airflow and fume hood containment.
Different percentiles (with average values of 95%, 85%, 75%, 65%, and 50%) for the headway selection of the VG data were chosen to carry out the logarithmic function fitting.
A logarithmic function is constructed as the Lyapunov function, based on which the control law is designed by Lyapunov control method.
Learning is thus a logarithmic function of the training time or events.
The logarithmic function can be used to describe the effect of the Rx antenna height on the path loss.
As will be shown in Section 5, the power function in (2) provides a slightly better fit (by means of a standard deviation of the least-squares residuals between the measured and predicted density values) than the logarithmic function in (3).
Mean standard deviation of empirical values of the proportion of vehicles which move freely on a roadway of small roundabout on theoretical values calculated from the evaluated function of non-linear regression amounted to 0.04 (4%) which confirms very low divergence of the values calculated by the logarithmic function from empirical values.
In line with the discussion so far, arithmetic changes of QoS parameters in the logarithmic function result in QoE geometric changes.
The beautiful history of the development of logarithms (Smith & Confrey, 1994), coupled with the power of the logarithmic function to model various situations and solve practical problems, makes the continued effort to support students' understanding of logarithms as critical today as it was when slide rules and logarithmic tables were commonly used for computation.
By the end an inverse problem model on the optimal solution distribution {[a.sub.w], [b.sub.w], [a.sub.0], [b.sub.0]} and oil-water relative permeability equations [K.sub.rw]([S.sub.w]), [K.sub.ro]([S.sub.w]) based on the Buckley-Leveret theory of two-phase flow can be realized, and another inverse problem model was modeled under the condition of the formation permeability logarithmic function are always obey normal distribution, Finally, it can provide a key information for reservoir numerical simulation studies.
A strong argument that something close to a logarithmic function is appropriate in valuing information comes from general economic considerations.