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Related to Napierian: natural logarithm


a.1.Of, pertaining to, or discovered by, Napier, or Naper.
Naperian logarithms
See under Logarithms.
Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co.
References in periodicals archive ?
Considering the search for the homoscedasticity of the residues, the Napierian logarithm(ln) for the three years analyzed (2014, 2015 and 2016) was applied to the water produced variable to linearize the data.
When necessary, the variable was transformed by Napierian logarithms or a specific coefficient.
After determining the values of ln([a.sub.w]), it was possible to represent the curves of the Napierian logarithm of the water activity of the Dedo-de-Moca hot pepper as a function of the inverse of absolute temperature (1/[T.sub.abs]) for different equilibrium moisture contents (d.b.) and their respective linear equations (Figure 2A).
RGR (g [g.sup.-1] [d.sup.-1]) = (nl [TDW.sub.2] - nl [TDW.sub.1]) / [([t.sub.2] - [t.sub.1]).sup.-1] SUC (g [H.sub.2]O [g.sup.-1] DW) = ([LFW.sub.2] - [LDW.sub.2]) / [LDW.sub.2] where: [LFW.sub.2]: final fresh weight of the leaves; [LDW.sub.2]: final dry weight of the leaves; nl: Napierian logarithm; [TDW.sub.1]: initial total dry weight; [TWD.sub.2]: final total dry weight and ([t.sub.2]-[t.sub.1]) time interval (15d).
where e is the base of the Napierian logarithm (e = 2.71828), P(x) is the probability of x individuals in a sampling unit, and m is the mean.
[] is the annual GDP growth rate PIB per capita and [] is the Napierian Logarithm of the GDP per capita.
where ln is the Napierian logarithm of the incidence rate or mean density of mosquito larvae, [[alpha].sub.0] and [[alpha].sub.[mu]] are constants and X is a variable that may or may not be random.
where [member of] is Napierian base and the parameter [member of] [greater than or equal to] 0.
The majority of epidemiological studies model the logarithm of the mean number of cases observed according to the Napierian logarithm of the number of cases expected, which acts as an offset, plus a linear combination of explanatory variables.