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Table of Useful Vector and Dyadic Equations 114
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amplitude angle asymptotic axis Bessel functions boundary conditions calculation capacitance Chap charge density coefficients compute constant convergence coordinates corresponding cosh cross section cylinder determined Dirichlet discussed distribution eigenfunctions eigenvalue elliptic employ equal evaluated exact example expansion expression factor finite flow function fluid force Fourier frequency func given in Eq Green's function harmonic Helmholtz equation homogeneous incident wave inequality infinite infinity inserted inside integral equation iterations Laplace equation lower bound magnetic magnetic potential method Neumann conditions obtain orthogonal parameters phase shift 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 spherical harmonic spheroid strip surface tion transformation trial function trial wave function unit length variational principle vector velocity potential wave function wire