Indexadvection(convection);41,42,47-50differentialequations;3,5,15,33,airborne operations;61-6335,36,38-39,65,66,72,74,80,83,131,236air resistance; 2, 3, 73aircraft;2,31-40,166,233diffusion; 41,42,45-48,50,51ammunition;183discrete mathematics;2,3,5,8,9analysis ofvariance(ANOVA);187dynamicalsystem(differencearc length; 196equation);5, 8,15,47,50,104,112-armor;87,131,135,161,229,236114,124,125,130,176,208,229,249231arms control,103eigenvalue,105artillery:71-86, 87assumptions; 63eigenvector;106,171engineering;25,41binomial distribution;173environment;41,46-47,50equilibrium; 107cipher system; 206errortolerance;116,131command, control, commo (c3);2,7,8,10free path length; 89-91fluiddynamics;32,38,39communications; 2,7,8, 10,215-217,223,249,153,161,206,212frequencyanalysis;209friction; 74computationalmathematics;2,3-5,8-12gradient; 172computeralgebra system; 36confidenceinterval;250graphicalanalysis;31,36,37convergence;49,51infantry;153,250damping; 82integerprogramming;141derivative;25,234,246integral; 33-36,43-45,244,245designofexperiments;188,194intervisibility;196259
259 Index advection (convection); 41, 42, 47-50 airborne operations; 61-63 air resistance; 2, 3, 73 aircraft; 2, 31-40, 166, 233 ammunition; 183 analysis of variance (ANOVA); 187 arc length; 196 armor; 87, 131, 135, 161, 229, 236, 249 arms control, 103 artillery; 71-86, 87 assumptions; 63 binomial distribution; 173 cipher system; 206 command, control, commo (c3 ); 2,7,8,10 communications; 2, 7, 8, 10, 215- 217, 223, 249, 153, 161, 206, 212 computational mathematics; 2, 3-5, 8-12 computer algebra system; 36 confidence interval; 250 convergence; 49, 51 damping; 82 derivative; 25, 234, 246 design of experiments; 188, 194 differential equations; 3, 5, 15, 33, 35, 36, 38-39, 65, 66, 72, 74, 80, 83, 131, 236 diffusion; 41, 42, 45-48, 50, 51 discrete mathematics; 2, 3, 5, 8, 9 dynamical system (difference equation); 5, 8, 15, 47, 50, 104, 112- 114, 124, 125, 130, 176, 208, 229, 231 eigenvalue, 105 eigenvector; 106, 171 engineering; 25, 41 environment; 41, 46-47, 50 equilibrium; 107 error tolerance; 116, 131 free path length; 89-91 fluid dynamics; 32, 38, 39 frequency analysis; 209 friction; 74 gradient; 172 graphical analysis; 31, 36, 37 infantry; 153, 250 integer programming; 141 integral; 33-36, 43-45, 244, 245 intervisibility; 196
knapsackproblem;147partial differential equations;41,45,47,49line-of-sight (LOS); 195Parrott Gun; 71, 76, 85linear programming; 141physics; 61,65,74linearregression;105-106prime number;206long-termbehavior;107probability &statistics;2,3,5-7,10,11,249-252manufacturing;8,10,87,141,153,projectile motion; 72-74191maintenance;169,231,239randomsample;252maximum flow; 144redundancy;158,160military crest; 198-203reliability;146,153,249residuals; 178military intelligence; 205mines;147,166missile;4,124,167security;206,215,216shortest path;145modelingprocess;1-12,13,16,22signal-to-noise ratio;18725,31,38,41-43,45,47,55,63,8795,110,118,133,141,145,148,stability;107153-157,216,229,231,233,236systems &control; 2,3,7-9motorpool;41-51,231movement; 37,250Taguchi; 185multinomial distribution;210Taylor polynomial; 133tankmunitions;53,131,135network:141terrain;42,195,196,236,242Newton's Laws; 65,74,77torpedo; 119-123, 127numerical integration; 33-34transformation;93-94,97-98transition matrix; 171optimization;4,5,25,148,235,243troops; 25, 37246vectors;88-99parameter; 154,164vector calculus;41,43-45,53260
260 knapsack problem; 147 line-of-sight (LOS); 195 linear programming; 141 linear regression; 105-106 long-term behavior; 107 manufacturing; 8, 10, 87, 141, 153, 191 maintenance; 169, 231, 239 maximum flow; 144 military crest; 198-203 military intelligence; 205 mines; 147, 166 missile; 4, 124, 167 modeling process; 1-12, 13, 16, 22, 25, 31, 38, 41-43, 45, 47, 55, 63, 87, 95, 110, 118, 133, 141, 145, 148, 153-157, 216, 229, 231, 233, 236 motor pool; 41-51, 231 movement; 37, 250 multinomial distribution; 210 network; 141 Newton’s Laws; 65, 74, 77 numerical integration; 33-34 optimization; 4, 5, 25, 148, 235, 243- 246 parameter; 154, 164 partial differential equations; 41, 45, 47, 49 Parrott Gun; 71, 76, 85 physics; 61, 65, 74 prime number; 206 probability & statistics; 2, 3, 5-7, 10, 11, 249-252 projectile motion; 72-74 random sample; 252 redundancy; 158, 160 reliability; 146, 153, 249 residuals; 178 security; 206, 215, 216 shortest path; 145 signal-to-noise ratio; 187 stability; 107 systems & control; 2, 3, 7-9 Taguchi; 185 Taylor polynomial; 133 tank munitions; 53, 131, 135 terrain; 42, 195, 196, 236, 242 torpedo; 119-123, 127 transformation; 93-94, 97-98 transition matrix; 171 troops; 25, 37 vectors; 88-99 vector calculus; 41, 43-45, 53