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Berlekamp E.R., Conway J.H., Guy R.K. — Winning Ways for Your Mathematical Plays, Vol. 1 |
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Предметный указатель |
Ski-Jumps 7 9—11 14 15 19 27 40
Skittles 81
Slant, right = correct 163
Slash 6 163
slashes 130 163
Sliding jungles 199 220 221
Slipper 9
Small 36 38 229—232 234 236—240 242—251 253 254 256—259 261 262
Smith, Cedric Austen Bardell 89 96 99 109 117 118
Snakes 40—42 240
Snakes-and-Ladders 14
Snort 47 145—147 149—151 153 154 156- 161 167 168 177 180—183 224
Snort dictionary 147 180—183
Snort lemmas 180
Solitaire 15
Span length 194
Spanning tree of a graph 217 224
Sparse space 110—113
Spight, William L. 188
Splitting the atom 234
Spoiler 161
Spot 145 146
Spots and Sprouts 95
Sprague — Grundy theory 56 118 220 221
Sprague, Roland Percival 42 56 79 220 221
Squandering Squares 254
Stalemate = tie 14
Stalk 29 30
Stalk = stem 67
Standard form 101 103 107—109 114
Star 34 39 47 48 65 68 69 120 121 125 155 156 190 229
Star, far 230—232 236 237 239 240 243—251 258 259
Star, lucky 246 249
Star, remote 230—232 236 237 239 240 243 251 258 259
Star, thermograph of 156
Star-Incentive Theorem 259
Star-Shifting Principle 250 258
Starting position 14
Startling value 39
Steingrimsson, E. 117
stem 36 47 67 199 201 210 230 240 242
Stockmeyer, Larry J. 224 226 227
Stone, John David 113
Stop, Left & Right 149 150 152 156 158—160 162 179
Stop, Left and Right 165 166
Stopping position 149—153 156—166
Stopping value 149 153 173
Storer, James 224
Strategy 173
Strategy, kite 243 244 246
Strategy, symmetry 3 194
Strategy, thermostatic 158 163—167 183—185 188 225
Strategy, winning 28 31 32 46
Strategy. Tweedledum and Tweedledee 2 3 35
String, Hackenbush 22 24 77 78 194
Structure of periods 109
Subperiods of nim-values 109
Subtraction game 84 86 87 98
Subtraction set 84
Sums eternal 46
Sums of games 31 161 163 165 166 220
Sums of nimbers 42
Sums, galvinized 253
Sums, NP-hard 225
Sums, ordinal 220
Superko 16
Superkos 188
Superstars 261
Surreal Numbers 18
Suspense 173
switches 121—125 157
Sylver Coinage 15
Symmetry 51
T-move 165 184
Take-and-break games 81 82 84 86 87 89- 98 99 101 103—105 107—117
Take-away games 82 84 86 87 98 101
Tarjan, Robert Endre 224—226
Tax 154—156
Tax exemption 151 153—155
Temperature 124 125 131 151—155 164—173 184 185 231
Temperature policy 124 125 131 132
Temperature, ambient 164 165 188
Temperature, critical 167—171
Tennis 15
Terminal position 2 7 28 41
Test, Remote Star 246 248 249
Test, Uppitiness 245
Theorem on incentives 258
Theorem on simplifying games 75 77
Theorem, At-Least-One 258
Theorem, Don't-Break-It-Up 213 214 216
Theorem, Max-Flow, Min-Cut 201 205 211
Theorem, non-arithmetic periodicity 115
Theorem, Number Avoidance 147—149 183
Theorem, Redwood Furniture 212—214
Theorem, Star-Incentive 259
Theory, atomic weight 253
Theory, Green Hackenbush 190—196 201
Theory, Sprague-Grundy 56 118 220 221
Thermal dissociation 168
Thermograph 151—159 161—166 168—172 174 176
Thermograph, 4-stop 158 159
Thermograph, compound 164
Thermograph, extended 161 162
Thermographic thicket 176
Thermographs of star and up 156
Thermography 151—174 176—179 188 225 262
Thermostat 164 185
Thermostrat 188
THERMOSTRAT = Thermostatic Strategy 188 225
Third cousin 101 103—105 107 109 114 116
Thompson, Francis 190
Thoreau, Henry David 19 53
Three-Finger Morra 15
Three-quarters 6 17
Thumbnail 19
Thursday, Maundy 26
Tic-Tac-Toe 14 94
| Tied 14
Time, complete in exponential 224
Tinted 38 39 47—49 51 204 206 209 210
TINY 126 127 169 170
Tiny-a-quarter 132
Tiny-two 126
Tiny-x 126
Toads-and-Frogs 12 40 63—65 68—70 72 75 77 127—132 134—138
Toenail 158
Track = path 202 222
Tracking 65 202 205 222
Trading Triangles 254
Transition, phase 168
Translation by nimbers 259 261
Translation by numbers 153 158
Translation of switches 123
Translation, by numbers 149
Traub, J.F. 226
Treblecross 113
Treblecross = -007 94 95
Tree with extra twig 214 216
Tree, Australian 22 24 214
Tree, binary 22 24
Tree, game 40
Tree, green 191—193
Tree, greenwood 34
Tree, redwood 214—217
Tree, spanning 217 224
Triangles, Trading 254
Triangular numbers 254
Triplicate Dawson's Kayles 261
Triplicate Nim 114 116
Triplicate Treblecross 262
Tschantz, Steven 52
Turn-and-Eatcake 236
Tweedledum and Tweedledee 2 3 35
Tweedledum and Tweedledee Argument 35 72
Twig 192 193 196 213 216
Twigs, redwood 213 214 216
Twisted Bynum 236
Two-Ahead Rule 199 200
Uiterwijk, J.W.H.M. 144
Ultimate periodicity 99 101
Uncertainty 230
Underlying economy 151
Unparted jungles 210
Unruly 116
Untinted nodes 50 204 206 210
Up, 63—72 151 155 229 232 247 258
Up, powers of 188
Up-second 236
Up-third 236
Uppitiness = atomic weight 200 202 204 206 208 209 211 220—222 225 230—232 234 236—240 242—244 246 248 251 253 256 258 259 261
Uppity, equally 242 245
Upstar 65 242
Upstart equality 71
Value 4—7 9—12 17 19 20 22 24—26 28 36 38 39 43—45
Value versus average 10
Value, chilled 187
Value, mast 152—154 165 166
Value, mean 149 151—154 165 166 188
Value, startling 39
Values, Childish Hackenbush 43
Values, Col 38 39 50
Values, common 110
Values, Cutcake 25
Values, Domineering 120 121 139 142 144
Values, exceptional 90—92 101 108
Values, excluded 111
Values, Hackenbush 4—6 17 19 20
Values, irregular 90—92 101 108
Values, Maundy Cake 26
Values, nim- 82 84 86 87 90—96 98 99 110- 191—195 230
Values, rare 110—112
Values, redwood bed 216
Values, regular 90 91
Values, Seating Boys-and-Girls 133
Values, Seating Couples 45
Values, Ski-Jumps 9—11 19
Values, small 36 229—232 234 236—240 242- 253 254 256—259 261 262
Values, Snort 147 180—183
Values, switch 121—125
Values, Toads-and-Frogs 12 131 134—138
van Roode, Thea 78
Variation set 220 221
Variations 94
Victory 163
Vout, Colin 38
Walsh, J.L. 52
Waltz, -6 96
Warfare, jungle 210
Warming 187
West, Julian 144
White Knight 56—59
White Rook 59
White, Farmer 145—147
Whole numbers 19
Wholeness of Hackenbush Hotchpotch 251
width 164 184
Williams, Sir Charles Hanbury 119
Wilson, Neil Y. 118
Wolfe, David 18 142 144 188 224 225
Wonders, numberless 119
Woodrow, Robert E. 144
World, small 229
Worthwhile move, option 213—216
Wyt Queens 59 60 74
Wythoff's Difference Rule 74
Wythoff's game 15 60 74
Wythoff, W.A. 74 79
Yedwab, Laura 224 227
Yedwab, Laura J. 188
Yes 53 112
Yesha, Y. 224 226
Zero 2 3 7 19 28—30 33 41
Zero game 4
Zero position 2
Zieve, Michael 118
Zigzag 177
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