| SECTION I Mathematical Foundations |
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3 | (14) |
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3 | (6) |
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9 | (8) |
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The Fourier, Laplace, and z-Transforms |
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17 | (16) |
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17 | (1) |
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Fundamentals of the Fourier, Laplace, and z-Transforms |
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17 | (8) |
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Applications and Examples |
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25 | (8) |
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Matrices and Linear Algebra |
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33 | (18) |
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33 | (1) |
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33 | (4) |
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37 | (5) |
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42 | (1) |
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Eigenvalues and Eigenvectors |
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43 | (2) |
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The Jordan Form and Similarity of Matrices |
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45 | (1) |
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Singular Value Decomposition |
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46 | (1) |
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Matrices and Multivariable Functions |
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47 | (4) |
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51 | (14) |
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51 | (2) |
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53 | (4) |
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57 | (3) |
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60 | (5) |
| SECTION II Models for Dynamical Systems |
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Standard Mathematical Models |
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65 | (20) |
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65 | (7) |
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72 | (13) |
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85 | (14) |
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85 | (8) |
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93 | (6) |
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99 | (16) |
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Modeling from Physical Principles |
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99 | (9) |
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System Identification When Noise Is Negligible |
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108 | (7) |
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| SECTION III Analysis and Design Methods for Continous-Time Systems |
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115 | (16) |
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Time Response of Linear Time-Invariant Systems |
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115 | (6) |
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Controllability and Observability |
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121 | (10) |
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131 | (26) |
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The Routh-Hurwitz Stability Criterion |
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131 | (4) |
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The Nyquist Stability Test |
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135 | (11) |
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Discrete-Time and Sampled-Data Stability Tests |
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146 | (6) |
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Gain Margin and Phase Margin |
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152 | (5) |
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157 | (84) |
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Specification of Control Systems |
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158 | (11) |
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Design Using Performance Indices |
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169 | (4) |
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Nyquist, Bode, and Nichols Plots |
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173 | (19) |
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192 | (6) |
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198 | (11) |
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State Space -- Pole Placement |
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209 | (6) |
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215 | (9) |
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Time-Delay Compensation --- Smith Predictor and its Modifications |
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224 | (7) |
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231 | (4) |
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Time-Delay Compensation for Unstable Plants |
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235 | (6) |
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| SECTION IV Digital Control |
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241 | (14) |
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241 | (14) |
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255 | (12) |
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Introduction and Mathematical Preliminaries |
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255 | (1) |
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`Sensitivity Functions' in Sampled Data Control Systems |
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256 | (2) |
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Sensitivity Consideration |
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258 | (1) |
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259 | (3) |
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Linear Quadratic Design of Sampled-Data Controllers |
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262 | (5) |
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Discrete-Time Equivalents to Continuous-Time Systems |
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267 | (16) |
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267 | (1) |
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Digitizing Analog Controllers |
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267 | (8) |
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Discretization of Continuous-Time State Variable Models |
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275 | (8) |
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Design Methods for Discrete-Time, Linear Time-Invariant Systems |
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283 | (20) |
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283 | (1) |
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Classical Control System Design Methods |
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284 | (5) |
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Eigenvalue Placement with State Feedback |
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289 | (3) |
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Step-Invariant Discrete-Time Observer Design |
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292 | (1) |
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293 | (3) |
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Designing Between-Sample Response |
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296 | (7) |
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303 | (12) |
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303 | (1) |
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Fixed-Point and Floating-Point Number Representations |
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303 | (2) |
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305 | (1) |
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Effects of Coefficient Quantization |
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306 | (2) |
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Quantization Effects in A/D Conversion |
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308 | (1) |
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Stochastic Analysis of Quantization Errors in Digital Processing |
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309 | (3) |
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Limit Cycle and Deadband Effects |
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312 | (3) |
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315 | (10) |
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315 | (1) |
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315 | (2) |
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Control System Response and the Sampling Period |
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317 | (2) |
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Control System Response to External Disturbances |
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319 | (2) |
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Measurement Noise and Prefiltering |
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321 | (1) |
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Effect of Sampling Rate on Quantization Error |
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321 | (4) |
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Real-Time Software for Implementation of Feedback Control |
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325 | (22) |
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325 | (1) |
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325 | (1) |
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326 | (1) |
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326 | (1) |
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Software Structure: Scan Mode |
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327 | (1) |
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327 | (1) |
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328 | (2) |
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330 | (2) |
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332 | (1) |
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333 | (1) |
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334 | (2) |
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Program Structure: The Anatomy of a Control Program |
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336 | (8) |
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Sample Problems and Utilities |
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344 | (3) |
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347 | (20) |
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The Development of Programmable Controllers |
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347 | (1) |
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Binary Sensors and Actuators |
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348 | (1) |
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Elementary Switching Theory |
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349 | (4) |
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353 | (2) |
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355 | (2) |
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357 | (4) |
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PLCs as Part of Automation Systems |
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361 | (6) |
| SECTION V Analysis and Design Methods for Nonlinear Systems |
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367 | (14) |
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The Describing Function Method |
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367 | (9) |
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376 | (5) |
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381 | (22) |
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Dealing with Actuator Saturation |
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381 | (4) |
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385 | (7) |
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Linearization and Gain-Scheduling |
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392 | (11) |
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| SECTION VI Software for Control System Analysis and Design |
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Numerical and Computational Issues in Linear Control and System Theory |
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403 | (16) |
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403 | (2) |
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405 | (2) |
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Fundamental Problems in Numerical Linear Algebra |
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407 | (3) |
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Applications to Systems and Control |
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410 | (6) |
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416 | (1) |
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417 | (2) |
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Software for Modeling and Simulating Control Systems |
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419 | (14) |
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419 | (1) |
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Special Demands of Control Engineers for a Simulation Tool |
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420 | (2) |
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Overview of Modeling and Simulation Software |
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422 | (9) |
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Shortcomings of Current Simulation Software |
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431 | (1) |
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431 | (2) |
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Computer-Aided Control Systems Design |
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433 | (14) |
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433 | (1) |
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433 | (2) |
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The State of the Art in CACSD |
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435 | (5) |
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CACSD Block Diagram Tools |
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440 | (5) |
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445 | (2) |
| Index |
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