About the Authors |
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xv | |
Acknowledgments |
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xvii | |
Introduction |
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xix | |
Chapter 1 3D Math Functions |
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1 | (16) |
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Math Modeling for 3D Printing |
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1 | (2) |
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1 | (1) |
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2 | (1) |
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Creating Surfaces Entirely in OpenSCAD |
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3 | (6) |
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Making a Smooth Surface with a Flat Bottom |
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3 | (3) |
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Making a Two-Sided Smoothed Surface |
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6 | (2) |
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Very Simple Model to Make a "Blocky" One-Sided Surface |
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8 | (1) |
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Creating Surfaces from an External Data File |
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9 | (5) |
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Example: Using a Python Program to Generate Data for a Thin Surface |
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10 | (3) |
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13 | (1) |
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14 | (1) |
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15 | (1) |
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Science Fair Project Ideas |
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15 | (1) |
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15 | (2) |
Chapter 2 Light and Other Waves |
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17 | (18) |
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Physics and Math Background |
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18 | (1) |
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Coordinate System and Conventions |
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18 | (1) |
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Principle of Superposition |
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19 | (1) |
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19 | (5) |
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Point Sources and Plane Waves |
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19 | (2) |
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21 | (3) |
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More Complex Examples: Diffraction |
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24 | (5) |
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The Double-Slit Experiment |
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24 | (2) |
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26 | (3) |
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29 | (2) |
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31 | (1) |
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31 | (1) |
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Science Fair Project Ideas |
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32 | (1) |
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More Wave Interaction Models |
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32 | (1) |
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32 | (1) |
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33 | (2) |
Chapter 3 Gravity |
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35 | (16) |
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35 | (1) |
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Gravitational Potential Wells |
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36 | (4) |
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37 | (2) |
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39 | (1) |
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40 | (5) |
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Halley's Comet Orbit Model |
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42 | (2) |
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44 | (1) |
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45 | (4) |
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49 | (1) |
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49 | (1) |
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Science Fair Project Ideas |
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50 | (1) |
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50 | (1) |
Chapter 4 Airfoils |
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51 | (26) |
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52 | (18) |
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Flight Forces: Lift, Drag, Gravity, and Thrust |
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52 | (2) |
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Chord, Camber, and Thickness |
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54 | (2) |
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56 | (7) |
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Classic Airplanes Using NACA Airfoils |
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63 | (1) |
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Using the 3D-Printed Airfoil Models |
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64 | (6) |
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70 | (3) |
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73 | (2) |
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75 | (1) |
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Building a Student Wind Tunnel |
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75 | (1) |
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75 | (1) |
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75 | (1) |
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76 | (1) |
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Science Fair Project Ideas |
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76 | (1) |
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76 | (1) |
Chapter 5 Simple Machines |
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77 | (30) |
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77 | (1) |
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78 | (23) |
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78 | (3) |
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81 | (5) |
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86 | (6) |
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92 | (9) |
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101 | (1) |
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102 | (3) |
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105 | (1) |
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Science Fair Project Ideas |
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106 | (1) |
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106 | (1) |
Chapter 6 Plants and Their Ecosystems |
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107 | (26) |
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107 | (4) |
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108 | (1) |
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109 | (1) |
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109 | (1) |
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109 | (2) |
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The Mathematics of Plant Growth |
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111 | (2) |
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111 | (1) |
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112 | (1) |
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112 | (1) |
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112 | (1) |
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113 | (9) |
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114 | (1) |
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115 | (4) |
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119 | (3) |
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122 | (8) |
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122 | (5) |
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127 | (1) |
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128 | (2) |
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130 | (1) |
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130 | (1) |
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Science Fair Project Ideas |
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131 | (1) |
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131 | (2) |
Chapter 7 Molecules |
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133 | (24) |
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133 | (3) |
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Valence Electrons and the Periodic Table |
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134 | (1) |
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135 | (1) |
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136 | (7) |
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137 | (3) |
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How to Assemble the Carbon Atom Model |
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140 | (3) |
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143 | (2) |
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143 | (2) |
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The Carbon vs. Water Molecule Model |
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145 | (1) |
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145 | (8) |
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146 | (6) |
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152 | (1) |
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153 | (1) |
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154 | (1) |
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155 | (1) |
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Science Fair Project Ideas |
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155 | (1) |
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155 | (2) |
Chapter 8 Trusses |
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157 | (22) |
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157 | (3) |
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Why Triangular Structures? |
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158 | (1) |
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Forces on Planar ("2D") Truss Members |
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159 | (1) |
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160 | (1) |
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160 | (1) |
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160 | (12) |
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161 | (3) |
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Tensegrity Structure Model |
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164 | (3) |
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Assembling the 3-Rod Tensegrity Prism |
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167 | (5) |
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172 | (4) |
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176 | (1) |
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176 | (1) |
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Science Fair Project Ideas |
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177 | (1) |
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A Few Last Words About Making Things |
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177 | (1) |
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177 | (2) |
Appendix A: 3D Printing |
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179 | (16) |
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179 | (2) |
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Filament-based 3D Printing |
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179 | (1) |
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180 | (1) |
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181 | (2) |
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181 | (1) |
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181 | (1) |
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Ideosyncracies of OpenSCAD |
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182 | (1) |
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183 | (10) |
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Printers MatterControl Supports |
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183 | (1) |
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Downloading and Installing MatterControl |
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183 | (1) |
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183 | (4) |
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187 | (6) |
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Archives and Repositories |
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193 | (2) |
Appendix B: Links |
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195 | (6) |
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195 | (1) |
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Chapter 1: 3D Math Functions |
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195 | (1) |
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Chapter 2: Light and Other Waves |
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196 | (1) |
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196 | (1) |
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197 | (1) |
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Chapter 5: Simple Machines |
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198 | (1) |
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Chapter 6: Plants and Their Ecosystems |
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198 | (1) |
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199 | (1) |
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200 | (1) |
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200 | (1) |
Index |
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201 | |