| Preface |
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xiii | |
| Contributors |
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xv | |
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2 | (10) |
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2 | (2) |
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4 | (1) |
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Product of a Vector and a Scalar |
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4 | (1) |
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4 | (1) |
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4 | (1) |
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5 | (1) |
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Resolution of Vectors and Components |
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6 | (1) |
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Angle between Two Vectors |
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7 | (2) |
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Scalar (Dot) Product of Vectors |
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9 | (1) |
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Vector (Cross) Product of Vectors |
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9 | (2) |
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Scalar Triple Product of Three Vectors |
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11 | (1) |
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Vector Triple Product of Three Vectors |
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11 | (1) |
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12 | (1) |
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Centroids and Surface Properties |
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12 | (18) |
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12 | (1) |
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13 | (1) |
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Centroid of a Set of Points |
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13 | (2) |
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Centroid of a Curve, Surface, or Solid |
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15 | (1) |
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Mass Center of a Set of Particles |
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16 | (1) |
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Mass Center of a Curve, Surface, or Solid |
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16 | (1) |
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17 | (4) |
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Theorems of Guldinus-Pappus |
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21 | (3) |
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Second Moments and the Product of Area |
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24 | (1) |
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Transfer Theorem or Parallel-Axis Theorems |
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25 | (2) |
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27 | (1) |
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28 | (2) |
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30 | (10) |
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Moment of a Bound Vector about a Point |
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30 | (1) |
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Moment of a Bound Vector about a Line |
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31 | (1) |
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Moments of a System of Bound Vectors |
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32 | (2) |
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34 | (1) |
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35 | (1) |
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Representing Systems by Equivalent Systems |
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36 | (4) |
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40 | (6) |
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40 | (2) |
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42 | (2) |
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44 | (2) |
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46 | (6) |
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Static Coefficient of Friction |
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47 | (1) |
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Kinetic Coefficient of Friction |
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47 | (1) |
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48 | (1) |
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49 | (3) |
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52 | (2) |
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52 | (1) |
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52 | (1) |
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53 | (1) |
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54 | (20) |
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Position, Velocity, and Acceleration of a Point |
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54 | (1) |
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55 | (1) |
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56 | (1) |
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57 | (1) |
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58 | (1) |
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Normal and Tangential Components |
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59 | (14) |
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73 | (1) |
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74 | (21) |
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74 | (1) |
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75 | (1) |
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Inertial Reference Frames |
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75 | (1) |
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76 | (1) |
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Normal and Tangential Components |
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77 | (1) |
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Polar and Cylindrical Coordinates |
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78 | (2) |
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Principle of Work and Energy |
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80 | (1) |
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81 | (3) |
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84 | (1) |
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85 | (2) |
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Principle of Impulse and Momentum |
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87 | (2) |
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Conservation of Linear Momentum |
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89 | (1) |
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90 | (4) |
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Principle of Angular Impulse and Momentum |
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94 | (1) |
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Planar Kinematics of a Rigid Body |
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95 | (16) |
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95 | (1) |
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Rotation about a Fixed Axis |
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96 | (1) |
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Relative Velocity of Two Points of the Rigid Body |
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97 | (1) |
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Angular Velocity Vector of a Rigid Body |
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98 | (2) |
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100 | (2) |
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Relative Acceleration of Two Points of the Rigid Body |
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102 | (1) |
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Motion of a Point That Moves Relative to a Rigid Body |
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103 | (8) |
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111 | (9) |
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Equation of Motion for the Center of Mass |
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111 | (2) |
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Angular Momentum Principle for a System of Particles |
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113 | (2) |
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Equation of Motion for General Planar Motion |
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115 | (2) |
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117 | (1) |
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117 | (3) |
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120 | (29) |
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Uniformly Distributed Stresses |
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120 | (1) |
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120 | (1) |
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121 | (4) |
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125 | (2) |
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127 | (1) |
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128 | (3) |
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131 | (1) |
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132 | (3) |
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135 | (4) |
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Beams with Asymmetrical Sections |
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139 | (1) |
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140 | (2) |
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Shear Stresses in Rectangular Section Beams |
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142 | (1) |
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143 | (4) |
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147 | (2) |
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149 | (24) |
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150 | (1) |
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Spring Rates for Tension, Compression, and Torsion |
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150 | (2) |
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152 | (1) |
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Deflections Analysis Using Singularity Functions |
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153 | (4) |
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157 | (3) |
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160 | (3) |
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163 | (2) |
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165 | (1) |
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Long Columns with Central Loading |
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165 | (4) |
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Intermediate-Length Columns with Central Loading |
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169 | (1) |
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Columns with Eccentric Loading |
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170 | (1) |
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Short Compression Members |
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171 | (2) |
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173 | (17) |
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173 | (5) |
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178 | (1) |
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Constant Life Fatigue Diagram |
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178 | (3) |
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Fatigue Life for Randomly Varying Loads |
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181 | (2) |
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183 | (4) |
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187 | (3) |
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190 | (12) |
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190 | (1) |
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190 | (1) |
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191 | (8) |
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Number of Degrees of Freedom |
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199 | (1) |
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200 | (2) |
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202 | (9) |
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202 | (6) |
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208 | (3) |
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Velocity and Acceleration Analysis |
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211 | (12) |
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212 | (1) |
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212 | (2) |
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214 | (1) |
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215 | (1) |
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216 | (7) |
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223 | (21) |
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Moment of a Force about a Point |
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223 | (1) |
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Inertia Force and Inertia Moment |
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224 | (3) |
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227 | (1) |
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228 | (1) |
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229 | (12) |
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241 | (3) |
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244 | (9) |
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244 | (3) |
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247 | (6) |
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253 | (30) |
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253 | (1) |
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Geometry and Nomenclature |
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253 | (5) |
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Interference and Contact Ratio |
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258 | (3) |
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261 | (1) |
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262 | (5) |
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267 | (3) |
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270 | (5) |
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275 | (8) |
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283 | (14) |
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283 | (1) |
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283 | (1) |
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Helical Extension Springs |
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284 | (1) |
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Helical Compression Springs |
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284 | (6) |
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290 | (2) |
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292 | (1) |
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293 | (3) |
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296 | (1) |
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297 | (21) |
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297 | (1) |
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298 | (1) |
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298 | (5) |
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303 | (1) |
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304 | (4) |
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308 | (10) |
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Lubrication and Sliding Bearings |
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318 | (22) |
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318 | (5) |
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323 | (3) |
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Hydrodynamic Lubrication Theory |
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326 | (2) |
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328 | (8) |
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336 | (4) |
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340 | (1) |
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Linear Systems with One Degree of Freedom |
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341 | (44) |
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342 | (1) |
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343 | (2) |
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345 | (7) |
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Forced Undamped Vibrations |
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352 | (7) |
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359 | (10) |
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369 | (1) |
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Vibration Isolation: Transmissibility |
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370 | (4) |
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Energetic Aspect of Vibration with One DOF |
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374 | (6) |
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Critical Speed of Rotating Shafts |
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380 | (5) |
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Linear Systems with Finite Numbers of Degrees of Freedom |
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385 | (31) |
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386 | (6) |
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392 | (12) |
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404 | (1) |
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405 | (2) |
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Approximative Methods for Natural Frequencies |
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407 | (9) |
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416 | (30) |
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The Machine Tool as a System |
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416 | (2) |
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418 | (1) |
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The Elastic Subsystem of a Machine Tool |
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419 | (16) |
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Elastic System of Machine-Tool Structure |
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435 | (2) |
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Subsystem of the Friction Process |
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437 | (3) |
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Subsystem of Cutting Process |
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440 | (4) |
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444 | (2) |
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Principles of Heat Transfer |
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Heat Transfer Thermodynamics |
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446 | (10) |
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Physical Mechanisms of Heat Transfer: Conduction, Convection, and Radiation |
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451 | (4) |
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Technical Problems of Heat Transfer |
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455 | (1) |
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456 | (32) |
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The Heat Diffusion Equation |
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457 | (2) |
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459 | (2) |
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Initial, Boundary, and Interface Conditions |
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461 | (2) |
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463 | (1) |
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Steady Conduction Heat Transfer |
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464 | (4) |
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Heat Transfer from Extended Surfaces (Fins) |
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468 | (4) |
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Unsteady Conduction Heat Transfer |
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472 | (16) |
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488 | (72) |
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External Forced Convection |
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488 | (32) |
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Internal Forced Convection |
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520 | (15) |
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External Natural Convection |
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535 | (14) |
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Internal Natural Convection |
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549 | (6) |
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555 | (5) |
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560 | (12) |
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560 | (1) |
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560 | (1) |
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560 | (1) |
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561 | (1) |
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562 | (1) |
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562 | (1) |
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562 | (1) |
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Bulk Modulus of Elasticity |
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562 | (1) |
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563 | (1) |
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Hydrostatic Forces on Surfaces |
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564 | (1) |
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565 | (1) |
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Dimensional Analysis and Hydraulic Similitude |
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565 | (3) |
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Fundamentals of Fluid Flow |
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568 | (4) |
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572 | (40) |
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Absolute and Gage Pressure |
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572 | (1) |
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573 | (2) |
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575 | (3) |
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578 | (1) |
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579 | (1) |
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580 | (12) |
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592 | (3) |
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595 | (3) |
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598 | (3) |
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601 | (2) |
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603 | (1) |
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604 | (1) |
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Piston Acceleration and Deceleration |
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604 | (1) |
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Standard Hydraulic Symbols |
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605 | (1) |
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606 | (1) |
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Representative Hydraulic System |
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607 | (3) |
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610 | (2) |
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612 | (2) |
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613 | (1) |
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614 | (2) |
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616 | (2) |
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Transfer Functions for Standard Elements |
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616 | (1) |
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Transfer Functions for Classic Systems |
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617 | (1) |
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618 | (2) |
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620 | (3) |
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623 | (5) |
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Input Variation Steady-State Error |
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623 | (1) |
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Disturbance Signal Steady-State Error |
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624 | (4) |
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628 | (3) |
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Frequency-Domain Performances |
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631 | (8) |
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The Polar Plot Representation |
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632 | (1) |
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The Logarithmic Plot Representation |
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633 | (4) |
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637 | (2) |
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Stability of Linear Feedback Systems |
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639 | (10) |
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The Routh-Hurwitz Criterion |
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640 | (1) |
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641 | (7) |
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Stability by Bode Diagrams |
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648 | (1) |
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Design of Closed-Loop Control Systems by Pole-Zero Methods |
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649 | (20) |
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650 | (1) |
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651 | (5) |
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Effects of the Supplementary Zero |
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656 | (4) |
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Effects of the Supplementary Pole |
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660 | (1) |
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Effects of Supplementary Poles and Zeros |
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661 | (3) |
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Design Example: Closed-Loop Control of a Robotic Arm |
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664 | (5) |
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Design of Closed-Loop Control Systems by Frequential Methods |
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669 | (3) |
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672 | (6) |
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678 | (13) |
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Nonlinear Models: Examples |
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678 | (3) |
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681 | (4) |
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Stability of Nonlinear Systems |
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685 | (3) |
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688 | (1) |
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689 | (2) |
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Nonlinear Controllers by Feedback Linearization |
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691 | (4) |
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695 | (8) |
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Fundamentals of Sliding Control |
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695 | (5) |
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Variable Structure Systems |
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700 | (3) |
| A. Appendix |
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703 | (144) |
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A.1 Differential Equations of Mechanical Systems |
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703 | (4) |
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A.2 The Laplace Transform |
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707 | (1) |
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A.3 Mapping Contours in the s-Plane |
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707 | (5) |
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A.4 The Signal Flow Diagram |
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712 | (4) |
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714 | (2) |
| APPENDIX Differential Equations and Systems of Differential Equations |
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1. Differential Equations |
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716 | (100) |
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1.1 Ordinary Differential Equations: Introduction |
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716 | (10) |
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1.2 Integrable Types of Equations |
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726 | (40) |
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1.3 On the Existence, Uniqueness, Continuous Dependence on a Parameter, and Differentiability of Solutions of Differential Equations |
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766 | (8) |
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1.4 Linear Differential Equations |
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774 | (42) |
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2. Systems of Differential Equations |
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816 | (31) |
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816 | (3) |
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2.2 Integrating a System of Differential Equations by the Method of Elimination |
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819 | (4) |
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2.3 Finding Integrable Combinations |
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823 | (2) |
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2.4 Systems of Linear Differential Equations |
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825 | (10) |
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2.5 Systems of Linear Differential Equations with Constant Coefficients |
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835 | (10) |
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845 | (2) |
| Index |
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847 | |