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IndexAlgorithm Fibonacci Search, 113 Golden Section Search, 109 method of steepest ascent, 147 modified Newton’s method, 156 attracting fixed point, 59 balancing chemical equations, 230 Battle of Normandy, Operation Overlord, 308 Battle of the Bismarck Sea, 300 CobbDouglas function, 173 competitive hunter model, 75 convex multivariable function, 123 correlation, 236 correlation coefficient, 237 linearity likelihood for math, science, and engineering data, table, 240 linearity likelihood for nonmath, nonscience, and nonengineering data, table, 240 cubic splines, 219 dark money network, 329 definiteness of a matrix, 130 indefinite, 131 negative definite, 131 negative semidefinite, 131 positive definite, 131 positive semidefinite, 131 summary using Hessians, table, 132 discrete dynamical system, 35 first order, 35 homogeneous, 38 initial condition(s), 35 linear, 38 linear nonhomogeneous table of behaviors, 62 nonhomogeneous, 38 nonlinear, 38, 66 paradigm, 37 domain, 34 dynamical solution numerical solution, 34 dynamical system definition of, 34 equilibrium value, 53 fixed point, 53 function, 34 game theory classical twoplayer games, table, 286 extensive form, 285 mixed strategy solution, 287 movement diagram, 288 Nash equilibrium, 284 normative form, 285 partial conflict game, 285 perfect information, 285 pure strategy solution, 284 sequential game, 284 simultaneous game, 284 strategies per player, 284 total conflict game, 285 zerosum game, 285 Hessian matrix, 124 Krackhardt’s Kite Network, 356 Lagrange multipliers, 163 graphical interpretation, 165 necessary conditions, 163 regular point, 164 leading principal minor, 125 least squares curve fitting as a system of linear equations, 217 least squares regression line. 141 normal equations, 142 Leontief InputOutput Economic Model, 215 linear regression, 236 multiple linear regression, 243 local and global extrema, 96 LotkaVolterra model, 81 continuous, 82 discrete, 82 Maple Builtin Algebraic Functions, 11 Help System, 9 Maple Applications Center, 30 plot, 26 plots package, 28 proc, 15 Procedure, 15 with, 8 Worksheet, 6 mathematical modeling process, 1 method of joints, 206 methods of choosing weights entropy method, 383 pairwise comparisons, 382 rank order centroid (ROC), 381 ratio method, 382 nonlinear regression exponential decay, 244 logistic regression (logit regression), 256 Poisson regression, 256 sine regression, 250 Numerical Technique Fibonacci Search, 112 Golden Section Search, 106 Modified Newton’s Method, 115 Problem solving fivestep method, 1 range, 34 relation, 34 sequence, 34 converge, 64 diverge, 64 limit of, 63 stable equilibrium, 59 Theorem Extended Derivative Test, 97 Extreme Value Theorem, 96 First Derivative Test, 97 Interval Endpoints Test, 97 Lagrange multipliers, 164 Multivariable Local Extremum Characterization, 123 multivariate optimal solution necessary conditions, 180 sufficient conditions, 180 Nash Arbitration Theorem, 299 Nondifferentiable Point Test, 97 Second Derivative Test, 96 Tower of Hanoi puzzle, 38 Unimodal Function, 105 Warren truss, 205 
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