The Impilog Theorem captures the relationship between the natural logarithm of a negative number and its positive counterpart in the complex plane. This theorem utilizes the properties of complex ...

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, ...

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 ...

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.

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A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Because logarithms relate geometric ...