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Page 45
... coefficients a , so that we get the " best " representation of the function f ( § ) . If " best " is defined as mini- mizing the mean square error MN : MN = a b ― n = 1 dE it is easy to show that the coefficients are given by а п = b Un ...
... coefficients a , so that we get the " best " representation of the function f ( § ) . If " best " is defined as mini- mizing the mean square error MN : MN = a b ― n = 1 dE it is easy to show that the coefficients are given by а п = b Un ...
Page 61
... coefficients A , are : A1 = 21 + 1 2a1 0 [ * v ( 0 ) P ̧ ( cos 0 ) sin 0 do ( 3.35 ) If , for example , V ( 0 ) is that of Section 2.8 , with two hemispheres at equal and opposite potentials , + V , 0≤0 < < π V ( 0 ) = -V , 2 FIN π ...
... coefficients A , are : A1 = 21 + 1 2a1 0 [ * v ( 0 ) P ̧ ( cos 0 ) sin 0 do ( 3.35 ) If , for example , V ( 0 ) is that of Section 2.8 , with two hemispheres at equal and opposite potentials , + V , 0≤0 < < π V ( 0 ) = -V , 2 FIN π ...
Page 544
... coefficients Am in ( 16.35 ) are not completely arbitrary . The divergence condition V. B = 0 must be satisfied . Since the radial functions are linearly independent , the condition V⚫ B = 0 must hold for the two sets of terms in ...
... coefficients Am in ( 16.35 ) are not completely arbitrary . The divergence condition V. B = 0 must be satisfied . Since the radial functions are linearly independent , the condition V⚫ B = 0 must hold for the two sets of terms in ...
Contents
1 | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
Dielectrics | 98 |
Copyright | |
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4-vector Ampère's law angle angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate cavity Chapter charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dimensions dipole direction discussed E₁ electric field electromagnetic fields electrons electrostatic energy loss factor force equation frequency given Green's function impact parameter incident particle integral Kirchhoff Lagrangian Laplace's equation Lorentz force Lorentz invariant Lorentz transformation m₁ magnetic field magnetic induction magnitude Maxwell's equations meson modes momentum multipole nonrelativistic obtain oscillations P₁ parallel perpendicular phase velocity plane wave plasma polarization power radiated Poynting's vector problem propagation radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave guide wave number wavelength ΦΩ