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Table of Useful Vector and Dyadic Equations 114
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amplitude angle approximation asymptotic axis Bessel functions boundary conditions calculate capacitance Chap charge density coefficients complex compute constant convergence coordinates corresponding cos(m cosh cross section cylinder differential Dirichlet discussed distribution eigenfunctions eigenvalue elliptic equal expansion expression factor finite flow function fluid force formulas Fourier frequency func given in Eq goes to zero Green's function Helmholtz equation imaginary incident wave infinite infinity inserted inside integral equation iteration Laplace equation Laplace transform magnetic magnetic potential membrane method negative Neumann conditions normal gradient obtain orthogonal parameters particles perturbation plane wave plate pressure problem quantity radiation radius ratio region satisfied scattered wave Schroedinger equation sin2 sinh slit solution of Laplace's solved sphere spherical harmonics spheroid string strip surface temperature tion trial function tube unit length variational principle vector velocity potential wave function wavelength wire