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| Lancaster P. — Mathematics: Models of the Real World |
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| Предметный указатель |
Absolute value 48 75
Applied mathematics 1 5 126
Binomial expansion 54 74
Bisexual population 112
Catastrophe 61—63
clock 127 128
Collisions 126—157
Collisions, inelastic 136—139 155—157
Collisions, perfectly elastic 130—136 154 156 157
Competition, of species 64 65 72
Constraint 12 13 18 24
contour 20 23
Control theory 73
Density, of population 42—44
diminishing returns 79 80
Discrete generations 112
Distance 48 75
Dominant genotype 111
Einstein 144 145 156
Einstein's law 146 147 150 158
Elementary operations 27
Elimination method 26 159
Energy, conservation of 132 135 137 139
Energy, internal 137 140 156
Energy, kinetic 132 137 153 155—157
Equilibrium 38 41—43 52—55 116 124
Equilibrium, stable 41—44 56 117
Equilibrium, unstable 41 42 46
Equivalent equations 27
Error analysis 48—51
Event in probability theory 106
Event in relativity theory 145
Event in relativity theory, origin 146
Events, simultaneous 145
Evolution 73 104 114
Experiment in probability theory 105
Experiment in search techniques 78
Exploitation 65
explosions 139—141 156
Exponent laws 75 103
Extinction, of species 41
Faraday 143
Feasible solution 13 18 19 24
Fibonacci numbers 101
Flat-earth theory 6
force 127 129
Frame of reference 128 129
Function 41
Function, differentiable 80
Function, linear 15
Function, unimodal 80 81 83
Gene 110
Gene frequency 121 122
Gene, types 111
Genotype 111
Geocentric theory 6
Geometric progression (series) 50 52 67 79 92
Half-plane, closed 16 18
Half-plane, open 16
Hardy — Weinberg law 116 117 121—123
Hertz 143
Host-parasite interaction 64 66
Hybrid genotype 111
Idealization 2 8 10 42 99 127 131
Inbreeding 119
Independence, statistical 107
Induction, proof by 49 51 52 77 92
Inequalities 15 37 75
Intersection of sets 125
Interval of uncertainty 83
Inventory control 7
Kinematics 129
Lethal trait 113 118 122
Linearization 44 46 54 62 67
Logarithm 103
Lorentz transformation 150
Mass 129
| Mass, apparent 152 153
Mass, rest 152 153 155
Matrix 59
Maximum function 102
Maxwell 143
Mechanics 126
Michelson and Morley 143—145 148 151
minimax 87 91
Model, deterministic 104
Model, mathematical 2 14 38 57 117 127 130 132 138 139 143 157
Model, probabilistic 104
Momentum 131 152
Momentum, conservation of 131 132 135 136 139
Mutation 122—125
Natural selection 73 74
Newton 126
Newton's laws of motion 4 132
Normal form 28—31
Numerical analysis 5
Objective function 13 18 19 20
Panmixia 114 117 118
Parallelogram law 142
Particle 129
Pendulum 3
Pivot element 30—32
Platform 128 146 147
Platform, dependence on 134—136 138 139 152 153
Predator-prey interaction 51—63 65
probability 105
Programming, integer 14
Programming, linear 13 18
Programming, nonlinear 14
Quadratic equation 54 67 76 77
Random Mendelian mating 114
Rate of growth 40
Recessive genotype 111
Recoil 139—141
Recurrence relation 59 65—72 115 117 119 124
Relativity, special 7 128 143—159
Resolution 85 99
Rigid body 128
Rigid rod 127
Sample space 105
Search, dichotomous 91—93 96
Search, golden section 93—99 101
Search, sequential 82 91—101
Search, simultaneous 82—91
Search, trisection 93 101
Selection 118—121
Shrinking, relativistic 144 148 151
Simplex method 25 32—36
Slack variables 26
slope 36
Solution, basic 28—31
Solution, basic feasible 33 34
Solution, feasible 13 18 19 24
Solution, general 28—31 33 70
Solution, minimax 87
Solution, trivial 66
Species, animal 3 38
Speed 128
Stability 46
Straight line 15 36 37 127 128
Subset 125
Symbiosis 65 66 72
Taylor's theorem 74
Trial 107
Union of sets 125
Validity 6 7 10 127 145
Vector 141
Vector, energy-momentum 152—157
Vector, event 146 157
Vector, unit 142 146 150
Velocity 128 130 152
Velocity of light 143 151
Velocity relation 133 139
Velocity, relativistic 152 153
Volterra's principle 61—63
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