logarithm

(redirected from Logarithmic function)
Also found in: Dictionary, Thesaurus, Encyclopedia, Wikipedia.

log·a·rithm

(log'ă-ridhm),
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]

logarithm

a mathematical device.

common logarithm
the value of the power when a number is expressed as to the power of 10 (has the base 10). Thus 100 expressed as to the power of 10 is 102 and the log of 100 is 2.
Napierian logarithm
see natural logarithm (below).
natural logarithm
as for common logarithm, except that the base is e or 2.178. Called also Napierian logarithm.
References in periodicals archive ?
This verifies a logarithmic function characterizing a direct causal relationship between volumetric airflow and fume hood containment.
The increase was thus a logarithmic function of the number of training days.
In line with the discussion so far, arithmetic changes of QoS parameters in the logarithmic function result in QoE geometric changes.
Formally, a logarithmic function with base a is defined as y = [log.
2) Even a purely logarithmic function can be manipulated to produce improved fit.
In the present study, the fact that the logarithmic function fit the data almost as well as the cumulative-Gamma did may have been due to the measure of interpurchase time adopted.
Because the measure of sound level is a logarithmic function, a 10dB reduction corresponds to a 90% reduction in sound power.
But whereas the exponential roars unchecked to infinity at an ever-increasing rate of slope, the rise of the logarithmic function is accompanied by a slope that gets continuously flatter.
The window is gradually grown until the value of the standard deviation of gray pixel levels within the window multiplied by the logarithmic function applied to the window size reaches the first local maximum (see Figure 1).
k] and logarithmic function [Florin] (n) = In n are two complete additive functions, w(n) = 1 is an additive function, but not a complete additive function.
a]x is a point of intersection of the graph of the natural logarithmic function y = lnx and the straight line y = (lna)x (see Figure 2).