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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 : N define My = ( § ) - dE ( 2.37 ) n = 1 it is easy to show that the coefficients are ...
... 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 : N define My = ( § ) - dE ( 2.37 ) n = 1 it is easy to show that the coefficients are ...
Page 61
... coefficients A are : Αι = 21 + 1 2a1 V ( 0 ) P ( cos 0 ) sin 0 do 0 ( 3.35 ) If , for example , V ( 0 ) is that of Section 2.8 , with two hemispheres at equal and opposite potentials , + V , 0 ≤0 < F12 π V ( 0 ) = -V , 6/2 ( 3.36 ) ...
... coefficients A are : Αι = 21 + 1 2a1 V ( 0 ) P ( cos 0 ) sin 0 do 0 ( 3.35 ) If , for example , V ( 0 ) is that of Section 2.8 , with two hemispheres at equal and opposite potentials , + V , 0 ≤0 < F12 π V ( 0 ) = -V , 6/2 ( 3.36 ) ...
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 acceleration Ampère's law angular distribution antenna approximation atomic axis B₁ Babinet's principle behavior boundary conditions calculate Chapter charge q charged particle coefficients collisions component conducting conductor consider constant coordinate cross section cylinder d³x dielectric diffraction dipole direction discussed E₁ electric field electromagnetic fields electron electrostatic energy loss energy transfer factor force equation frame 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 momentum multipole nonrelativistic obtain oscillations P₁ P₂ parallel perpendicular phase velocity plane wave plasma polarization power radiated problem radius region relativistic result S₁ scalar scattering screen shown in Fig shows sin² solid angle solution sphere spherical surface transverse unit V₁ vanishes vector potential velocity wave number wavelength ΦΩ