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), ...

Abstract: The well-known generalization of real to complex arithmetic (two reals) extends further to more obscure quaternion arithmetic (four reals), which has applications in signal processing, ...

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.

Logarithmic functions are an essential part of many mathematical and scientific concepts. These functions have several properties that can help us solve complex equations and understand the behavior ...

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.

👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) ...

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 ...