THE publication of these tables helps to mark a change in the use of logarithms, both for teaching and practical purposes. Nowadays most teachers use four-figure tables for teaching purposes, even in ...

For some of my current projects, I'm probably going to need to eventually estimate some models using Metropolis-Hastings sampling. I understand the basic concepts, and the software I use (R) has ...

This is a preview. Log in through your library . Abstract Let f be a positive real-valued function defined on an interval I ⊆ R. The function f is said to be log-convex if logf is convex on I. In this ...

We study nonparametric maximum likelihood estimation of a log-concave probability density and its distribution and hazard function. Some general properties of these estimators are derived from two ...

\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

Remember one of the laws of logs: \(n{\log _a}x = {\log _a}{x^2}\) Another one of the laws are used here: \({\log _a}x + {\log _a}y = {\log _a}xy\) ...

Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. There are two main reasons to use logarithmic scales in charts and graphs. The ...