A brisk derivation of formulations used is given in Appendix 1.
The full analytic derivation of this formulation is given in this paper.
An established theory of noise generation by a moving source is combined with the moving medium Green's function for derivation of the formulation.
The attention is devoted to derivation of the special formulation of governing equations in FGM plates, which includes the Kirchhoff Love theory (KLT) as well as the 1st and 3rd order shear deformation plate theory (SDPT).
The first, Section 3.1, covers the derivation of the mathematical formulation of the TA resolution problem.
In the derivation of the PIFE formulation, we have followed the idea of the interior penalty discontinuous Galerkin scheme [38].
However, the derivation of the SEM formulation of the bidomain model follows analogously for any ordinary differential equation (ODE) based cell model.
However, cumbersome and problem-specific derivations of the formulations and non-trivial access to the FE code, especially for commercial products, refrain a broad implementation of these methodologies.
Nonetheless, this derivation of the universal law formulation from the Humanity formulation seems to require a substantive, synthetic claim, namely, that Humanity is indeed absolutely valuable.
First, analytical derivation and formulation of the proposed model are given.
