| Preface |
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xiii | |
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1 | (9) |
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1 | (1) |
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2 | (4) |
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Divergence of the Field Vectors |
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6 | (1) |
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Integral Form of the Field Equations |
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6 | (4) |
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Macroscopic Properties of Matter |
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10 | (6) |
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The Inductive Capacities ε and μ |
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10 | (1) |
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Electric and Magnetic Polarization |
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11 | (2) |
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13 | (3) |
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16 | (7) |
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16 | (7) |
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The Electromagnetic Potentials |
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23 | (11) |
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Vector and Scalar Potentials |
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23 | (3) |
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26 | (2) |
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Hertz Vectors, or Polarization Potentials |
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28 | (4) |
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Complex Field Vectors and Potentials |
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32 | (2) |
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34 | (4) |
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Discontinuities in the Field Vectors |
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34 | (4) |
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38 | (21) |
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Unitary and Reciprocal Vectors |
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38 | (6) |
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44 | (3) |
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47 | (3) |
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Field Equations in General Orthogonal Coordinates |
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50 | (1) |
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Properties of Some Elementary Systems |
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51 | (8) |
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59 | (24) |
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Orthogonal Transformations and Their Invariants |
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59 | (5) |
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Elements of Tensor Analysis |
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64 | (5) |
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Space-time Symmetry of the Field Equations |
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69 | (5) |
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The Lorentz Transformation |
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74 | (4) |
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Transformation of the Field Vectors to Moving Systems |
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78 | (5) |
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Stress and Strain in Elastic Media |
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83 | (13) |
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83 | (4) |
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87 | (6) |
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Elastic Energy and the Relations of Stress to Strain |
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93 | (3) |
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Electromagnetic Forces on Charges and Currents |
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96 | (8) |
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Definition of the Vectors E and B |
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96 | (1) |
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Electromagnetic Stress Tensor in Free Space |
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97 | (6) |
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103 | (1) |
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104 | (14) |
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Electrostatic Energy as a Function of Charge Density |
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104 | (3) |
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Electrostatic Energy as a Function of Field Intensity |
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107 | (4) |
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A Theorem on Vector Fields |
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111 | (1) |
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Energy of a Dielectric Body in an Electrostatic Field |
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112 | (2) |
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114 | (1) |
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115 | (2) |
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Theorem on the Energy of Uncharged Conductors |
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117 | (1) |
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118 | (13) |
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Magnetic Energy of Stationary Currents |
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118 | (5) |
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Magnetic Energy as a Function of Field intensity |
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123 | (2) |
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125 | (1) |
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Energy of a Magnetic Body in a Magnetostatic Field |
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126 | (3) |
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Potential Energy of a Permanent Magnet |
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129 | (2) |
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131 | (6) |
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131 | (4) |
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135 | (2) |
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Forces on a Dielectric in an Electrostatic Field |
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137 | (16) |
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137 | (3) |
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140 | (6) |
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146 | (1) |
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Surfaces of Discontinuity |
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147 | (2) |
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149 | (2) |
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Force on a Body Immersed in a Fluid |
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151 | (2) |
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Forces in the Magnetostatic Field |
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153 | (3) |
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Nonferromagnetic Materials |
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153 | (2) |
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155 | (1) |
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Forces in the Electromagnetic Field |
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156 | (4) |
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Force on a Body Immersed in a Fluid |
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156 | (4) |
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General Properties of an Electrostatic Field |
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160 | (5) |
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Equations of Field and Potential |
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160 | (3) |
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163 | (2) |
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Calculation of the Field from the Charge Distribution |
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165 | (7) |
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165 | (1) |
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Integration of Poisson's Equation |
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166 | (1) |
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167 | (2) |
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169 | (1) |
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170 | (2) |
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Expansion of the Potential in Spherical Harmonics |
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172 | (11) |
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Axial Distributions of Charge |
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172 | (3) |
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175 | (1) |
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176 | (2) |
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Arbitrary Distributions of Charge |
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178 | (1) |
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General Theory of Multipoles |
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179 | (4) |
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183 | (2) |
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Interpretation of the Vectors P and II |
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183 | (2) |
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Discontinuities of Integrals Occurring in Potential Theory |
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185 | (9) |
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Volume Distributions of Charge and Dipole Moment |
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185 | (2) |
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Single-layer Charge Distributions |
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187 | (1) |
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Double-layer Distributions |
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188 | (4) |
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Interpretation of Green's Theorem |
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192 | (1) |
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193 | (1) |
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194 | (7) |
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Formulation of Electrostatic Problems |
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194 | (2) |
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196 | (1) |
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Solution of Laplace's Equation |
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197 | (4) |
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201 | (6) |
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Conducting Sphere in Field of a Point Charge |
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201 | (3) |
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Dielectric Sphere in Field of a Point Charge |
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204 | (1) |
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Sphere in a Parallel Field |
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205 | (2) |
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207 | (10) |
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Free Charge on a Conducting Ellipsoid |
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207 | (2) |
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Conducting Ellipsoid in a Parallel Field |
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209 | (2) |
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Dielectric Ellipsoid in a Parallel Field |
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211 | (2) |
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Cavity Definitions of E and D |
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213 | (2) |
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Torquie Exerted on an Ellipsoid |
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215 | (2) |
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217 | (8) |
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General Properties of a Magnetostatic Field |
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225 | (5) |
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Field Equations and the Vector Potential |
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225 | (1) |
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226 | (2) |
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228 | (2) |
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Calculation of the Field of a Current Distribution |
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230 | (8) |
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230 | (3) |
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Expansion of the Vector Potential |
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233 | (3) |
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236 | (1) |
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237 | (1) |
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A Digression on Units and Dimensions |
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238 | (4) |
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238 | (3) |
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Coulomb's Law for Magnetic Matter |
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241 | (1) |
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242 | (3) |
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Equivalent Current Distributions |
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242 | (1) |
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Field of Magnetized Rods and Spheres |
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243 | (2) |
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Discontinuities of the Vectors A and B |
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245 | (5) |
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Surface Distributions of Current |
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245 | (2) |
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Surface Distributions of Magnetic Moment |
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247 | (3) |
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Integration of the Equation X X = μJ |
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250 | (4) |
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Vector Analogue of Green's Theorem |
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250 | (1) |
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Application to the Vector Potential |
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250 | (4) |
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254 | (3) |
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Formulation of the Magnetostatic Problem |
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254 | (2) |
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256 | (1) |
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257 | (1) |
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Field of a Uniformly Magnetized Ellipsoid |
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257 | (1) |
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Magnetic Ellipsoid in a Parallel Field |
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258 | (1) |
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Cylinder in a Parallel Field |
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258 | (4) |
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258 | (3) |
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Force Exerted on the Cylinder |
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261 | (1) |
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262 | (6) |
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Plane Waves in Unbounded, Isotropic Media |
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Propagation of Plane Waves |
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268 | (16) |
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Equations of a One-dimensional Field |
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268 | (5) |
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Plane Waves Harmonic in Time |
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273 | (5) |
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Plane Waves Harmonic in Space |
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278 | (1) |
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279 | (2) |
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281 | (1) |
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282 | (2) |
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General Solutions of the One-Dimensional Wave Equation |
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284 | (37) |
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Elements of Fourier Analysis |
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285 | (7) |
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General Solution of the One-dimensional Wave Equation in a Nondissipative Medium |
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292 | (5) |
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Dissipative Medium; Prescribed Distribution in Time |
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297 | (4) |
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Dissipative Medium; Prescribed Distribution in Space |
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301 | (3) |
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Discussion of a Numerical Example |
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304 | (5) |
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Elementary Theory of the Laplace Transformation |
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309 | (9) |
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Application of the Laplace Transformation to Maxwell's Equations |
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318 | (3) |
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321 | (9) |
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Dispersion in Dielectrics |
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321 | (4) |
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325 | (2) |
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Propagation in an Ionized Atmosphere |
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327 | (3) |
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Velocities of Propagation |
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330 | (10) |
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330 | (3) |
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Wave-front and Signal Velocities |
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333 | (7) |
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340 | (9) |
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Equations of a Cylindrical Field |
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349 | (6) |
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Representation by Hertz Vectors |
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349 | (2) |
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Scalar and Vector Potentials |
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351 | (3) |
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Impedances of Harmonic Cylindrical Fields |
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354 | (1) |
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Wave Functions of the Circular Cylinder |
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355 | (6) |
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355 | (2) |
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Properties of the Functions Zp(p) |
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357 | (3) |
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The Field of Circularly Cylindrical Wave Functions |
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360 | (1) |
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Integral Representations of Wave Functions |
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361 | (14) |
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Construction from Plane Wave Solutions |
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361 | (3) |
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Integral Representations of the Functions Zn(p) |
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364 | (5) |
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369 | (2) |
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Representation of a Plane Wave |
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371 | (1) |
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The Addition Theorem for Circularly Cylindrical Waves |
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372 | (3) |
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Wave Functions of the Elliptic Cylinder |
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375 | (12) |
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375 | (5) |
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380 | (4) |
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Expansion of Plane and Circular Waves |
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384 | (3) |
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387 | (5) |
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392 | (7) |
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A Fundamental Set of Solutions |
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392 | (3) |
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Application to Cylindrical Coordinates |
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395 | (4) |
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The Scalar Wave Equation in Spherical Coordinates |
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399 | (15) |
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Elementary Spherical Waves |
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399 | (5) |
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Properties of the Radial Functions |
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404 | (2) |
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Addition Theorem for the Legendre Polynomials |
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406 | (2) |
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408 | (1) |
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409 | (2) |
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A Fourier-Bessel Integral |
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411 | (1) |
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Expansion of a Cylindrical Wave Function |
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412 | (1) |
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Addition Theorem for zo(kR) |
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413 | (1) |
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The Vector Wave Equation in Spherical Coordinates |
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414 | (6) |
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Spherical Vector Wave Functions |
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414 | (2) |
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416 | (1) |
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417 | (1) |
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Expansion of a Vector Plane Wave |
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418 | (2) |
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420 | (4) |
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The Inhomogeneous Scalar Wave Equation |
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424 | (7) |
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Kirchhoff Method of Integration |
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424 | (4) |
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428 | (2) |
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430 | (1) |
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431 | (7) |
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Definition of the Moments |
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431 | (3) |
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434 | (3) |
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437 | (1) |
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Radiation Theory of Linear Antenna Systems |
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438 | (22) |
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Radiation Field of a Single Linear Oscillator |
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438 | (7) |
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Radiation Due to Traveling Waves |
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445 | (1) |
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Suppression of Alternate Phases |
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446 | (2) |
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448 | (6) |
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Exact Calculation of the Field of a Linear Oscillator |
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454 | (3) |
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Radiation Resistance by the E.M.F. Method |
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457 | (3) |
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The Kirchhoff-Huygens Principle |
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460 | (10) |
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460 | (4) |
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Direct Integration of the Field Equations |
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464 | (4) |
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Discontinuous Surface Distributions |
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468 | (2) |
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Four-Dimensional Formulation of the Radiation Problem |
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470 | (7) |
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Integration of the Wave Equation |
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470 | (3) |
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Field of a Moving Point Charge |
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473 | (4) |
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477 | (6) |
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483 | (7) |
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483 | (3) |
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486 | (2) |
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Electrodynamic Simulitude |
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488 | (2) |
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Reflection and Refraction at a Plane Surface |
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490 | (21) |
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490 | (2) |
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492 | (2) |
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494 | (3) |
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497 | (3) |
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Refraction in a Conducting Medium |
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500 | (5) |
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Reflection at a Conducting Surface |
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505 | (6) |
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511 | (5) |
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Reflection and Transmission Coefficients |
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511 | (2) |
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Application to Dielectric Media |
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513 | (2) |
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515 | (1) |
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516 | (8) |
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Complex Angles of Incidence |
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516 | (4) |
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520 | (4) |
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Propagation Along a Circular Cylinder |
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524 | (21) |
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524 | (3) |
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Conductor Embedded in a Dielectric |
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527 | (4) |
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Further Discussion of the Principal Wave |
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531 | (6) |
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537 | (8) |
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545 | (9) |
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545 | (3) |
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548 | (3) |
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551 | (3) |
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554 | (9) |
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554 | (4) |
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Oscillations of a Conducting Sphere |
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558 | (2) |
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Oscillations in a Spherical Cavity |
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560 | (3) |
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Diffraction of a Plane Wave by a Sphere |
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563 | (10) |
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Expansion of the Diffracted Field |
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563 | (5) |
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568 | (2) |
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570 | (3) |
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Effect of the Earth of the Propagation of Radio Waves |
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573 | (15) |
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573 | (4) |
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577 | (5) |
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582 | (1) |
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Approximation of the Integrals |
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583 | (5) |
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588 | (13) |
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A. Numerical Values of Fundamental Constants |
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601 | (1) |
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B. Dimensions of Electromagnetic Quantities |
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601 | (1) |
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602 | (2) |
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Formulas From Vector Analysis |
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604 | (1) |
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Conductivity of Various Materials |
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605 | (1) |
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Specific Inductive Capacity of Dielectrics |
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606 | (2) |
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Associated Legendre Functions |
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608 | (1) |
| Index |
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609 | |
