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The Fourier solution of the wave equation for a circular vibrating membrane is generalized to a star-like-shaped structure. We show that the classical solution can be used in this more general case, provided that a suitable change of variables in the spherical co-ordinate system ...
The interior and exterior Neumann problems for the Helmholtz equation in starlike planar domains are addressed by using a suitable Fourier-like technique. Attention is in particular focused on normal-polar domains whose boundaries are defined by the so called ¿superformula¿ intro ...
We highlight the legacy of Simon Stevin and Gabriel Lamé and show how their work led to some of the most important recent developments in science, ultimately based upon the principles of balance and the act of weighing, virtual or real. These names are also important in the sense ...