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Related to logarithm: natural logarithm


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]


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 ?
To test for cointegration of the logarithms of the real exchange rates, consider the following unrestricted autoregressive model with an intercept, white noise errors, and a deterministic trend:
The connections of slide rules with logarithms (which might have explained how they actually worked) were very rarely highlighted, at least in my recollections of my own experience.
The results of estimating dynamic model showed that the variables oftrade liberalization logarithm with one and two lags have positive effect on stock indices, while the logarithm of the oil price and its one lag has a negative effect on the stock index.
From different results above, we remark that return on assets is positively correlated with logarithm of the total assets squared [LAGA.
However non-linear functions can be transformed into linear functions with the use of logarithms.
4) They used the logarithm of press citations as popularity variable.
n] in Joyal's expression for the combinatorial logarithm have plenty of subspecies in common.
t]) = logarithm of expected spot exchange rate at time t + k, based on information known at time t,
Luay Al-Zibaidi, in collaboration with an Austrian research team of the Faculty of Medicine at the University of Vienna, obtained a patent on inventing a logarithm to calculate and gauge blood pressure during open heart operations through inserting an air balloon into the coronary, where blood pressure would be controlled via an instantaneous continuous calculation of the blood pressure inside the coronary, then controlling air quantity inside the balloon to acquire a steady blood pressure, during the heart operation through using the invented logarithm.
Time-Tech] cover a wide range, we use a logarithm of them in our regressions.
Motivated by work of Lengyel [3] on the 2-adic logarithm, Allouche and Shallit [1, Problem 16.
is directly proportional to the logarithm of the intensity of the stimulus, expressed as a multiple of the smallest perceived (threshold) stimulus, i.