Everyone trusts the logarithm until it goes complex. We’re taught that log(xy)=log(x)+log(y), and it works beautifully… until one day, you try it with negative numbers and suddenly log(-1)=iπ=i(π+2π), ...
Why we use logarithms of values. Logarithms are a fundamental mathematical tool that help us work with numbers, especially when dealing with exponential growth, large scales, or complex calculations.
Abstract: The quadrature processing techniques used in digital communications, spectral analysis, and computer graphics demand high-speed calculation of complex number magnitude and its logarithms.
MR. JACKSON is an experienced editor and computer of logarithmic tables, having already published “Accented Five-Figure Logarithms,” “Pocket Logarithms and other Tables,” &c. Different calculations ...