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1 Fundamentals: Thermodynamics of the Atmosphere |
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1 | (36) |
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1 | (7) |
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4 | (1) |
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1.1.2 The Potential Temperature |
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5 | (2) |
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7 | (1) |
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1.2 The Thermodynamics of Water Vapor |
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8 | (5) |
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1.2.1 The Equation of Clausius--Clapeyron |
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8 | (2) |
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10 | (3) |
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1.3 Some Effects of Water Vapor |
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13 | (9) |
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1.3.1 The Tephigram or Thermodynamic Diagram |
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16 | (2) |
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1.3.2 The Skew T--Log P Diagram (Emagram) |
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18 | (2) |
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1.3.3 The Conditional Convective Instability |
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20 | (2) |
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1.4 The Distribution of Water Vapor in the Atmosphere |
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22 | (15) |
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24 | (1) |
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E.1.1 Was the Atmosphere Drier During the Ice Age? |
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24 | (1) |
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E.1.2 More on the Clausius--Clapeyron (C--C) Equation |
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25 | (1) |
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E.1.3 The Equivalent Potential Temperature |
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26 | (1) |
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E.1.4 The Saturated Adiabat |
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27 | (2) |
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E.1.5 Constructing an Emagram |
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29 | (2) |
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E.1.6 The Equal-Area Requirement |
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31 | (1) |
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E.1.7 The Virtual Temperature |
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32 | (1) |
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E.1.8 Using Diagrams in Forecasting |
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33 | (2) |
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35 | (2) |
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2 Fundamentals: Radiation in the Atmosphere |
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37 | (34) |
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2.1 The Definition of Radiometric Variables |
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37 | (2) |
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39 | (4) |
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2.3 Scattering and Absorption of Solar Radiation |
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43 | (9) |
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2.3.1 Rayleigh Scattering |
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44 | (4) |
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2.3.2 The Absorption of Solar Radiation |
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48 | (4) |
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52 | (19) |
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2.4.1 The Equation of Radiative Transfer |
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53 | (4) |
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2.4.2 The Radiative--Convective Atmosphere |
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57 | (2) |
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2.4.3 The Runaway Greenhouse |
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59 | (3) |
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62 | (1) |
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E.2.1 Rayleigh Scattering from Natural Light (Sunlight) |
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62 | (2) |
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E.2.2 A Simple Way to Evaluate Ozone Absorption |
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64 | (2) |
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E.2.3 The Radiative Time Constant |
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66 | (1) |
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E.2.4 A Simple Model for the Greenhouse Effect |
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67 | (2) |
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69 | (2) |
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3 The First Laws of Motion |
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71 | (34) |
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3.1 Scales and Orders of Magnitude |
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72 | (1) |
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73 | (10) |
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3.2.1 The Total Derivative |
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74 | (1) |
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3.2.2 The Continuity Equation |
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75 | (2) |
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77 | (1) |
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78 | (2) |
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3.2.5 The Equations of Motion in an Inertial System |
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80 | (3) |
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3.3 Vorticity and Circulation |
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83 | (22) |
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3.3.1 Some Properties of Vorticity and Circulation |
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85 | (3) |
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3.3.2 The Vorticity Equation |
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88 | (6) |
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94 | (1) |
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E.3.1 The Coriolis Acceleration |
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94 | (2) |
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E.3.2 The Inertial Oscillation |
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96 | (2) |
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E.3.3 The Rossby Adjustment Problem (Nonrotating) |
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98 | (1) |
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E.3.4 The Rossby Adjustment Problem (Rotating Case) |
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99 | (2) |
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E.3.5 Energetics of the Adjustment |
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101 | (2) |
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103 | (2) |
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4 Dynamics: Few Simple Applications |
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105 | (36) |
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4.1 The Geostrophic Motion |
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105 | (7) |
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4.1.1 The Geostrophic Streamfunction |
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109 | (2) |
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4.1.2 The Quasi-geostrophy: The Isallobaric Wind |
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111 | (1) |
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112 | (6) |
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4.2.1 Thermal Wind in the Atmosphere |
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116 | (2) |
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4.3 More About Geostrophic Wind |
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118 | (4) |
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118 | (2) |
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4.3.2 Inertial Instability |
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120 | (2) |
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4.4 The Natural Coordinate System |
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122 | (4) |
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4.5 Some Application of Circulation and Vorticity |
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126 | (15) |
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126 | (1) |
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4.5.2 Some Other Local Winds |
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127 | (3) |
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130 | (5) |
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135 | (1) |
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E.4.1 The Sea Breeze Circulation |
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135 | (1) |
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E.4.2 The Circulation Around Lows and Highs |
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136 | (2) |
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E.4.3 Effects on the Propagation of Long Waves |
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138 | (2) |
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140 | (1) |
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141 | (20) |
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5.1 Characteristics of the Atmospheres |
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141 | (5) |
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5.2 Atmospheric Composition and Chemistry |
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146 | (2) |
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148 | (3) |
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5.4 Chemistry and Transport |
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151 | (10) |
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154 | (1) |
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E.5.1 Units for Chemical Abundance |
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154 | (1) |
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E.5.2 The Chapman Model for Atmospheric Ozone |
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155 | (2) |
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E.5.3 Calculation of Photolysis Rate |
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157 | (1) |
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E.5.4 Photodissociation and Vertical Transport |
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158 | (1) |
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E.5.5 A Time-Dependent Case |
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159 | (1) |
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160 | (1) |
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6 Introduction to Remote Sensing |
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161 | (20) |
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6.1 Observations of the Atmosphere |
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161 | (2) |
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6.2 Thermal Emission Measurements |
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163 | (1) |
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6.3 Ozone Measurements from Satellite |
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164 | (4) |
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6.4 Atmospheric Properties from Radio Occultation (RO) |
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168 | (3) |
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6.5 A Few Things About Radar |
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171 | (4) |
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175 | (6) |
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177 | (1) |
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E.6.1 Refractive Index of Air |
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177 | (1) |
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178 | (2) |
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180 | (1) |
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7 The Atmospheric Motions |
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181 | (44) |
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7.1 The Thermodynamic Equation |
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181 | (3) |
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7.2 The Isentropic Coordinate System |
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184 | (4) |
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7.2.1 The Vorticity Equation in Isentropic Coordinates |
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186 | (2) |
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7.3 The Ertel Potential Vorticity |
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188 | (8) |
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7.3.1 The Application of the Potential Vorticity |
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190 | (2) |
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7.3.2 Ozone and Vorticity |
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192 | (2) |
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7.3.3 More on Rossby Waves |
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194 | (2) |
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7.4 The Non-stationary Solutions |
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196 | (6) |
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7.4.1 Numerical Solutions of a Flow Above an Obstacle: The Stationary Case |
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198 | (1) |
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7.4.2 Numerical Solutions of a Flow Above an Obstacle: The Non-stationary Case |
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199 | (3) |
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7.5 Quasi-Geostrophic Vorticity |
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202 | (4) |
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7.5.1 The Equation of Quasi-Geostrophic Potential Vorticity |
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204 | (2) |
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7.6 Potential Vorticity Inversion |
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206 | (5) |
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7.6.1 A Periodic Potential Vorticity Anomaly |
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208 | (1) |
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7.6.2 Rossby Waves and Vorticity Inversion |
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209 | (2) |
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7.7 Scaling of the Shallow Water Equations |
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211 | (14) |
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7.7.1 Scaling of the Equations of Motion |
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211 | (2) |
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7.7.2 Scaling of the Vorticity and Divergence Equations |
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213 | (3) |
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216 | (1) |
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E.7.1 Ertel Potential Vorticity in a Barotropic Fluid |
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216 | (1) |
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E.7.2 Conservation of Potential Vorticity |
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216 | (2) |
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E.7.3 Scaling and Vorticity Inversion |
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218 | (1) |
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E.7.4 Rossby Waves in Shallow Water |
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219 | (3) |
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E.7.5 Flow Over an Obstacle: The Numerical Solution |
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222 | (1) |
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223 | (2) |
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8 The Planetary Boundary Layer |
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225 | (36) |
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8.1 Turbulence and Diffusion |
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225 | (4) |
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229 | (4) |
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231 | (2) |
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233 | (4) |
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237 | (5) |
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8.5 The Secondary Circulation |
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242 | (4) |
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8.5.1 Spin-Down in a Teacup |
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244 | (2) |
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8.6 Turbulent Diffusion from Discrete Sources |
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246 | (15) |
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8.6.1 The Characteristics of Smoke Plumes |
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247 | (2) |
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249 | (3) |
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252 | (1) |
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E.8.1 Boundary Layer in the Ocean |
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252 | (1) |
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E.8.2 The Transfer of Sensible and Latent Heat |
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252 | (3) |
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E.8.3 The Fluxes in the Presence of Vegetation |
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255 | (3) |
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E.8.4 The Kolmogorov Spectrum |
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258 | (2) |
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260 | (1) |
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261 | (36) |
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9.1 Sources of Atmospheric Aerosols |
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261 | (2) |
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9.2 The Size Distribution of Atmospheric Aerosols |
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263 | (3) |
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9.3 Nucleation and Growth |
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266 | (10) |
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9.3.1 Nucleation from Water Vapor Condensation |
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267 | (3) |
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9.3.2 The Growth by Condensation |
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270 | (1) |
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9.3.3 Droplet Growth by Collision and Coalescence |
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271 | (4) |
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9.3.4 The Statistical Growth |
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275 | (1) |
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9.4 Formation and Growth of Ice Crystals |
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276 | (5) |
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9.5 Stratospheric Aerosols |
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281 | (5) |
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9.5.1 The Sulfate Aerosol Layer |
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282 | (2) |
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9.5.2 Polar Stratospheric Clouds |
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284 | (2) |
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9.6 Clouds in Planetary Atmospheres |
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286 | (11) |
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290 | (1) |
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E.9.1 The Lognormal Size Distribution |
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290 | (2) |
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E.9.2 A Few Things More About the Kohler Curve |
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292 | (1) |
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E.9.3 Sedimentation of Particles |
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293 | (1) |
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294 | (3) |
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10 Waves in the Atmosphere |
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297 | (42) |
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10.1 Some Properties of the Waves |
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297 | (3) |
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10.2 Gravity Waves in Shallow Water |
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300 | (2) |
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302 | (2) |
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10.4 Internal Gravity Waves |
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304 | (3) |
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10.5 Three-Dimensional Rossby Waves |
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307 | (4) |
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10.6 The Physics of Gravity Waves |
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311 | (6) |
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10.6.1 The Equation of Quasi-geostrophic Potential Vorticity |
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311 | (1) |
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10.6.2 The Eliassen--Palm Flux |
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312 | (3) |
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10.6.3 Energetics of Gravity Waves |
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315 | (2) |
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10.7 Breaking, Saturation, and Turbulence in the Upper Atmosphere |
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317 | (22) |
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322 | (1) |
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E.10.1 Is the Phase Velocity a Vector? |
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322 | (3) |
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E.10.2 The Quasi-geostrophic Potential Vorticity in Log P Coordinates |
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325 | (1) |
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E.10.2 The Eliassen--Palm Flux Terms |
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326 | (1) |
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E.10.3 Energy and EP Flux |
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326 | (2) |
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E.10.4 The WKB Approximation |
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328 | (1) |
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E.10.5 The Numerical Solution to the Wave Equation |
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329 | (1) |
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E.10.6 A Few More Things About Mountain Waves |
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330 | (1) |
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E.10.7 Waves Forced by Sinusoidal Ridges |
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331 | (5) |
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336 | (3) |
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11 The Data on the Atmospheric Circulation |
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339 | (26) |
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11.1 The General Features |
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339 | (3) |
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11.2 The Energy Budget of the Atmosphere |
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342 | (10) |
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346 | (2) |
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11.2.2 Decomposition of Transport |
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348 | (2) |
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11.2.3 The Details of the Energy Budget |
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350 | (2) |
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11.3 The Mean Zonal Circulation |
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352 | (13) |
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357 | (1) |
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E.11.1 Waves and Momentum Flux |
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357 | (2) |
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E.11.2 Waves and Vorticity Flux |
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359 | (2) |
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E.11.3 More on Pseudomomentum |
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361 | (1) |
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362 | (3) |
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12 Theories on the General Circulation of the Atmosphere |
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365 | (52) |
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12.1 The Equatorial Circulation |
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365 | (13) |
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12.1.1 Gill's Symmetric Circulation |
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366 | (4) |
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12.1.2 The Nonlinear Symmetric Circulation |
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370 | (6) |
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12.1.3 The Vorticity Equation and Viscosity |
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376 | (2) |
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12.2 The Middle Latitude Circulation |
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378 | (17) |
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12.2.1 The Baroclinic Instability: Qualitative Treatment |
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380 | (3) |
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12.2.2 The Baroclinic Instability: The Eady Problem |
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383 | (4) |
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12.2.3 The Baroclinic Instability: The Charney Problem |
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387 | (2) |
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12.2.4 The Baroclinic Instability: Two-Level Model |
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389 | (6) |
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12.3 Energetics of the Baroclinic Waves |
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395 | (8) |
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12.3.1 Energy in the Two-Level Model |
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398 | (2) |
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12.3.2 The Parameterization of Transport |
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400 | (3) |
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12.4 The General Circulation: A Reductionist Approach |
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403 | (14) |
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12.4.1 The Inertial Instability |
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405 | (1) |
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12.4.2 A Comparison Among the Planets |
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406 | (2) |
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408 | (1) |
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E.12.1 The Thermodynamic Equation |
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408 | (1) |
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E.12.2 The Hadley Circulation as a Shallow Water Case |
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409 | (1) |
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E.12.3 The Hadley Circulation: Numerical Solution |
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410 | (1) |
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E.12.4 The Hadley Circulation on Slow-Rotating Planet? |
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411 | (2) |
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E.12.4 Transport by Eddies |
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413 | (2) |
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415 | (2) |
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13 Radiation for Different Uses |
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417 | (44) |
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13.1 Parameterization of Gaseous Absorption |
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417 | (7) |
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13.1.1 The Ozone Absorption |
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419 | (2) |
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13.1.2 The Water Vapor Absorption |
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421 | (3) |
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13.2 The Interaction of Solar Radiation with Particulates in the Atmosphere |
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424 | (9) |
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13.2.1 Optical Properties of the Particles |
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425 | (7) |
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13.2.2 Phase Functions and Mie Scattering |
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432 | (1) |
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13.3 Radiative Transfer in the Presence of Scattering |
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433 | (8) |
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13.3.1 Few Simple Applications of the δ-Eddington Approximation |
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438 | (3) |
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13.4 The Transfer of Infrared Radiation |
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441 | (2) |
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13.4.1 The Formal Solution |
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441 | (2) |
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443 | (3) |
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13.5.1 Spectral Line Shape |
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444 | (2) |
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13.6 Models for the Line Absorption |
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446 | (5) |
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13.6.1 A Formulation of the Infrared Flux |
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448 | (2) |
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13.6.2 The Band Absorptivities According to Cess and Ramanathan |
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450 | (1) |
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13.7 δ-Eddington in the Infrared |
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451 | (10) |
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452 | (1) |
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E.13.1 Color for Nonabsorbing Spheres |
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452 | (1) |
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E.13.2 A Simple Model for Scattering |
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452 | (3) |
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E.13.3 Reflectivity and Transmission from Nonconservative Scattering |
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455 | (1) |
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E.13.4 A MATLAB Program for the Delta-Eddington |
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456 | (2) |
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E.13.5 Infrared Flux from Methane |
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458 | (1) |
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459 | (2) |
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461 | (42) |
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461 | (1) |
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14.2 Zero-Dimensional Models and Feedback |
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462 | (6) |
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14.3 One-Dimensional Energy Balance Climate Models |
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468 | (15) |
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469 | (4) |
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14.3.2 The Stability of the One-Dimensional Model |
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473 | (3) |
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476 | (3) |
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14.3.4 The Time Dependence of EBM |
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479 | (4) |
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14.4 The Radiative--Convective Models |
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483 | (20) |
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14.4.1 The Radiative--Convective Models and the Greenhouse Effect |
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487 | (3) |
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14.4.2 Can We Put Together the Radiative--Convective and Energy Balance Climate Models? |
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490 | (1) |
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491 | (1) |
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E.14.1 Stability of North's Model |
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491 | (1) |
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E.14.2 Time-Dependent Solution of North's Model |
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492 | (3) |
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E.14.3 Temperature Profile from Maximum Entropy Principle |
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495 | (2) |
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E.14.4 Entropy Production and Energy Balance Models |
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497 | (5) |
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502 | (1) |
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15 The Application of Climate Models |
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503 | (66) |
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503 | (5) |
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15.2 The Solar Radiation and the Orbital Parameters |
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508 | (3) |
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15.3 Some Experimental Data on the Ice Ages |
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511 | (2) |
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15.4 The 100 Kyear Cycle and the Lithosphere--Atmosphere Coupling |
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513 | (6) |
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15.5 Stochastic Resonance |
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519 | (4) |
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15.6 The Global Warming: A Simple Exercise |
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523 | (8) |
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15.6.1 The Near Future Climate of the Earth as a Problem of Electrical Engineering |
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524 | (7) |
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15.7 The General Circulation Models |
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531 | (4) |
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15.7.1 The Model Equations |
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533 | (2) |
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15.8 The Performances of GCMs |
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535 | (34) |
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15.8.1 The Taylor Diagram |
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535 | (4) |
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15.8.2 The Feedback Factor |
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539 | (3) |
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15.8.3 The Bayesian Point of View |
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542 | (2) |
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15.8.4 The Bayesian Evaluation of Models: Part 1 |
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544 | (2) |
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15.8.5 The Bayesian Evaluation of Models: Part 2 |
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546 | (3) |
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549 | (1) |
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E.15.1 100 Kyear Glacial Cycle: Details |
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549 | (1) |
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E.15.2 A Multi-state Climate Model for the Timing of Glaciations |
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550 | (5) |
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E.15.3 The Wigley -- Schlesinger Model |
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555 | (2) |
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E.15.4 A Model to Explore Climate Sensitivity |
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557 | (5) |
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E.15.5 Properties of Two-Dimensional Gaussian Distribution |
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562 | (3) |
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565 | (2) |
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567 | (2) |
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16 Chemistry of the Troposphere |
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569 | (46) |
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569 | (1) |
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16.2 The Minor Gas Inventory |
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570 | (6) |
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572 | (1) |
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573 | (1) |
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16.2.3 Atmospheric Chlorine |
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574 | (2) |
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16.3 The Biogeochemical Cycle for Carbon |
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576 | (13) |
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16.3.1 Carbonate/CO2 System: A Bit of Marine Chemistry |
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578 | (6) |
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16.3.2 How Long Will the Biosphere Survive? |
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584 | (5) |
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16.4 Chemistry of the Troposphere |
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589 | (11) |
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590 | (3) |
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16.4.2 The Chemistry of Urban Air |
|
|
593 | (2) |
|
16.4.3 Can We Control Air Quality? |
|
|
595 | (2) |
|
16.4.4 The Atmospheric Sulfur Cycle |
|
|
597 | (3) |
|
16.5 Modes of a Chemical System |
|
|
600 | (15) |
|
|
604 | (1) |
|
E.16.1 The Simple Carbon Cycle |
|
|
604 | (1) |
|
E.16.2 The Carbon Cycle with the Ocean |
|
|
605 | (1) |
|
E.16.3 The Oxygen Cycle Is Connected with the Carbon Cycle |
|
|
606 | (1) |
|
E.16.4 The Simple Polluted Atmosphere |
|
|
607 | (1) |
|
E.16.5 The Isopleth Diagram for Ozone |
|
|
608 | (1) |
|
E.16.6 The Lifespan of the Biosphere |
|
|
609 | (2) |
|
E.16.7 An Example on Chemical Modes |
|
|
611 | (1) |
|
|
612 | (3) |
|
17 Dynamics of the Middle Atmosphere |
|
|
615 | (56) |
|
17.1 Thermal Structure of the Stratosphere |
|
|
616 | (2) |
|
17.2 The Eulerian Mean Circulation |
|
|
618 | (8) |
|
17.2.1 The Transformed Eulerian Mean |
|
|
620 | (2) |
|
17.2.2 An Attempt to Understand the Origin of the Residual Circulation |
|
|
622 | (1) |
|
17.2.3 The Sudden Stratospheric Warming |
|
|
623 | (3) |
|
17.3 Tracers Transport in the Stratosphere |
|
|
626 | (12) |
|
17.3.1 The Two-Dimensional Diffusion Coefficients |
|
|
627 | (3) |
|
17.3.2 Self Consistent Transport in Two Dimensions |
|
|
630 | (3) |
|
17.3.3 Eddies and the Troposphere--Stratosphere Flux |
|
|
633 | (5) |
|
17.4 Transport in Isentropic Coordinates |
|
|
638 | (33) |
|
17.4.1 Stratospheric Dynamics and Ertel Potential Vorticity |
|
|
640 | (2) |
|
17.4.2 The Slope of the Tracers |
|
|
642 | (4) |
|
17.4.3 The Tracer Correlation: Age of Air and Transport |
|
|
646 | (5) |
|
17.4.4 The Conservative Coordinates |
|
|
651 | (6) |
|
|
657 | (1) |
|
E.17.1 Troposphere--Stratosphere Exchange |
|
|
657 | (2) |
|
|
659 | (4) |
|
E.17.3 The Simplest Theory on Quasi-Biennial Oscillation |
|
|
663 | (5) |
|
|
668 | (3) |
|
18 Stratospheric Chemistry |
|
|
671 | (44) |
|
18.1 The Ozone Distribution |
|
|
672 | (2) |
|
18.2 The Ozone Homogeneous Chemistry |
|
|
674 | (12) |
|
18.2.1 The Catalytic Cycles in the Gaseous Phase |
|
|
676 | (1) |
|
18.2.2 The Odd Hydrogen Catalytic Cycle |
|
|
677 | (2) |
|
18.2.3 The Odd Nitrogen Catalytic Cycle |
|
|
679 | (2) |
|
18.2.4 The Bromine and Chlorine Catalytic Cycles |
|
|
681 | (3) |
|
18.2.5 The Effects of the Catalytic Cycles |
|
|
684 | (2) |
|
18.3 Heterogeneous Chemistry |
|
|
686 | (3) |
|
18.4 The Perturbations to the Ozone Layer |
|
|
689 | (16) |
|
18.4.1 The Global Ozone Trend |
|
|
691 | (3) |
|
18.4.2 Natural and Anthropic Perturbations: Volcanic Eruptions |
|
|
694 | (7) |
|
18.4.3 Natural and Anthropic Perturbations: The Effect of Aviation |
|
|
701 | (4) |
|
|
705 | (10) |
|
18.5.1 The Theory on the Polar Ozone |
|
|
706 | (3) |
|
|
709 | (1) |
|
E.18.1 The Equivalent Effective Stratospheric Chlorine (EESC) |
|
|
709 | (2) |
|
E.18.2 Few More Things About Polar Stratospheric Clouds |
|
|
711 | (1) |
|
E.18.3 How to Calculate the Loss Rate of Ozone Over Antarctica |
|
|
712 | (1) |
|
|
713 | (2) |
|
19 Chaos and Nonlinearities |
|
|
715 | (50) |
|
19.1 Simple Examples from the Theory of Dynamic Systems |
|
|
716 | (4) |
|
19.1.1 The Poincare Section |
|
|
717 | (2) |
|
|
719 | (1) |
|
|
720 | (6) |
|
|
726 | (2) |
|
19.4 Dimensions of Weather and Climate Attractors |
|
|
728 | (5) |
|
19.5 A Bridge to Nonlinearities: The Loop Oscillator |
|
|
733 | (3) |
|
19.6 The Thermohaline Circulation According to Stommel |
|
|
736 | (5) |
|
|
736 | (4) |
|
19.6.2 Stability of the Solutions |
|
|
740 | (1) |
|
19.7 The Difference Equations |
|
|
741 | (4) |
|
19.7.1 Examples for Transitive and Intransitive System |
|
|
743 | (2) |
|
19.8 Nonlinearity and Delayed Differential Equations |
|
|
745 | (20) |
|
19.8.1 ENSO as a Delay Oscillator |
|
|
747 | (3) |
|
19.8.2 Aerosol--Cloud--Precipitation as the Predator--Prey Problem |
|
|
750 | (4) |
|
|
754 | (1) |
|
E.19.1 The Lorenz System: The Mother of All Chaotic Systems |
|
|
754 | (4) |
|
E.19.2 The Logistic Map as an Example of Difference Equation |
|
|
758 | (1) |
|
E.19.3 The Lyapunov Exponent |
|
|
759 | (3) |
|
E.19.4 MATLAB Program for El Nino Delayed Oscillator |
|
|
762 | (1) |
|
E.19.5 MATLAB Program for the Predator--Prey Problem |
|
|
762 | (1) |
|
|
763 | (2) |
|
|
765 | (30) |
|
20.1 A Short Inventory of Geoengineering Technologies |
|
|
766 | (1) |
|
20.2 Carbon Sequestration and Storage |
|
|
767 | (4) |
|
20.3 What Geoengineering Can Do |
|
|
771 | (3) |
|
|
774 | (5) |
|
|
774 | (2) |
|
20.4.2 Stratospheric Aerosol or How to Create a Volcanic Eruption |
|
|
776 | (3) |
|
|
779 | (2) |
|
20.6 Can Solar Radiation Management Work? |
|
|
781 | (3) |
|
20.7 A Cure for the Ozone Hole with Geoengineering |
|
|
784 | (11) |
|
|
787 | (1) |
|
E.20.1 Back to Radiative Transfer |
|
|
787 | (1) |
|
|
788 | (2) |
|
E.20.3 Energy Balance Model |
|
|
790 | (2) |
|
|
792 | (3) |
Index |
|
795 | |