\({\log _a}a = 1\) (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 ...

This post offers reasons for using logarithmic scales, also called log scales, on charts and graphs. It explains when logarithmic graphs with base 2 are preferred to logarithmic graphs with base ...

Logarithms and square root are non-elementary operations frequently used in digital signal processing. In this work, implementation and design of an IP-Core to compute square root and multibase ...

Casey Murphy has fanned his passion for finance through years of writing about active trading, technical analysis, market commentary, exchange-traded funds (ETFs), commodities, futures, options, and ...

Let {Sn, n ≥ 1} be a zero, mean square integrable martingale for which $\lim_{n\to\infty}ES_{n}^{2}<\infty$ so that Sn → S∞, a.s., say, by the martingale convergence theorem. The paper is principally ...

Annales d'Économie et de Statistique, No. 60, Microstructure des marchés financiers / Financial Market Microstructure (Oct. - Dec., 2000), pp. 117-149 (33 pages) This paper introduces the logarithmic ...