THE FORMULATION OF SOUND TRANSMISSION PROBLEMS THROUGH THE BOUNDARIES OF THREE-DIMENSIONAL MEDIA AND THROUGH PLATES

The formulation of sound transmission problems through the boundaries of three-dimensional media and through plates

Introduction.Modern physical models for calculating the propagation of plane longitudinal waves through media boundaries, based on the conditions of continuity of sound pressure and vibrational velocity, are implemented only with normal wave incidence.In all directions of wave propagation other than normal, the continuity conditions are not observe

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On a certain class of arithmetic functions

A homothetic arithmetic function of ratio $K$ is a function $f mathbb{N} ightarrow R$ such that $f(Kn)=f(n)$ for shampoo bar every $ninmathbb{N}$.Periodic arithmetic funtions are always homothetic, while the converse is not true in general.In this paper we study homothetic and periodic arithmetic functions.In particular we give an upper bound for t

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