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 ...

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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 ...

Abstract: The Laplace-domain waveform inversion is a full-waveform inversion method that recovers large-scale subsurface models. The inversion updates subsurface model parameters to minimize the ...