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| Borovik A.V. — Mathematics under the microscope |
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| Предметный указатель |
 92
 216
 -symmetry formalism 38
(max,+)-algebra 13
2-cocycle 79 80
Aardvark 47
Absolute value 4
Abstraction by irrelevance 119 140
Akins, Kathleen 22
Aksenov, Vasilii 107
Albran, Kehlog 85
Aleichem, Sholom X
Algebra 6
Algebra, boolean 250
Algebra, finite 241
Algebra, Hopf 238 244—247
Algebra, Lie 74 219 221
Algebra, linear 35
Algebra, permutational 243
Algebra, polynomial equivalence of 242
Algebra, polynomially equivalent 242
Algebra, retract of 243
Algebra, tensor 76
Algebra, universal 240 250
Algebra, vector 76
Algorithm 26 29 237
Algorithm, choiceless 8 19
Algorithm, choiceless polynomial time 19
Algorithm, error-correcting 210
Algorithm, Euclid's 15
Algorithm, Euclidean 236
Algorithm, iterative 87
Algorithm, polynomial time 7 8 236
Algorithm, recursive 15 17
Algorithm, saccadic movements 247
Alperin, Roger 178 206 207
Altitude 222
Analysis, dimensional 162
Analysis, power trace 233
Analysis, real 120
Analysis, response time 233
Antheil, George 154 155 168
Arch, corbel 192
Arch, true 192
Archimedes 89 104 221
Aristotle 92
Arithmetic 76 88
Arithmetic of named numbers 162
Arithmetic, approximate 66 74
Arithmetic, base-60 55
Arithmetic, Peano 227
Arithmetic, symbolic 66
Arnold, Vladimir Igorevich 11 115 162 169 219 221 234 248
Asperger's syndrome 43
Assignment problem 12
Associahedron 53 56
Attractor 60 61
Automated proof system 137
Automorphism 39
Automorphism, graph 38
Axiom of Choice 104 143
Axiom of determinacy 143
Axiom of extensionality 111
Axiom, Bachmann's 218
Axiomatization 29
Axioms, Zermelo — Fraenkel 143
Axis, radical 187
Azzouni, Jody XIII 40 202
Bachmann's Axiom 219
Bachmann, Friedrich 208 218 219 221
Baez, John XIII 24
Barenboim, Daniel 46
Beloch, Margherita Piazzolla 221
Benezet, Louis 74
Benson, David 78 212
Bentley, Wilson 242
Berenguer, Bruno XIII 141
Berkman, Ayse XIII 168
Betweenness 128 208 221
Birtwistle, Harrison 46
Blackmore, Susan XII 199 203 211
Blake, Ian F. 236
Blass, Andreas 9
Blinder, Alan 150
Booth, Richard 214
Booth, Richard F. XIII
Borovik, Anna XII 22 88
Bourbaki, Nicolas 21
Bower, James M. 39
Bracket V 41 48 51
Bracketing 87
Broomhead, David XIII 26 100
Bubble wrap 14—16
Bulgakov, Michael 14
Burdges, Jeff XII
Butterworth, Brian 42 74 111
Calculation, calendrical 42
Calculus 3 6
Calculus of reflections 221
Cameron, Peter 101
Cantor, Georg 67 112
Cardano, Gerolamo 10
Carey, Susan 44 65 66
Carry 79
Cartier, Pierre 39
Casselman, Bill 31
Castronova, Edward 230
Cauchy, Augustin-Louis 117 118
Cesaro limit 120
Chant 6 88
Cherlin, Gregory XII 16 78 79 104 112 151 250
Chinese Junk 223 224
Chirality 24 25
Choiceless polynomial time 9
Choquet, Gustave 208
Chorin, Alexander 164
Chrysippus 54
Cinderella 187
Circuit 26
Circuit, neuron 58
Clinton, William Jefferson 228
Codabar 221
Cognition 59
Cognition, mathematical 61
Cognitive psychology IX 41
Cognitive science VI
Cohomology 63 79
Combinatorics 63 234
Command Line Interface 49
Compactification 87
Completion 87
complexity 49
Complexity theory 9 59 237
Complexity, Kolmogorov 134
Complexity, polynomial time 7
Complexity, space-complexity 49
Complexity, time 7
Complexity, time-complexity 49
composition 4
Compression 108
Computation, choiceless polynomial time 7
Computer science 7 9 49 59
Comultiplication 245
Concatenation 47
Cone, simplicial 177
Continuity 114 117
Convexity 70 179 195
Conway, John 104
Coombes, Kevin 171
Copeland, Jack 104
| Copying by squares 212
Corfield, David XII 18 57 226 231 238 240 245—247
Costas array 156 157
Counterexample, minimal 15
Counting 58 59 74 87
Counting, sheep 77 227
Counting, verbal 74
Covector 76 251
Coxeter language 47
Coxeter, H.S.M. 22 26 27 47 82 128 221
Cryptography 234 236 237 250
Cryptography, algebraic 8
cryptography, elliptic curve 236 237
Cryptomorphism 56 62 64 128 129 172 214
Curve, elliptic 236
Dalbello, Marija 32
Davis, Chandler XII
Davis, Philip VIII IX 29 199 201 202 204
Dawkins, Richard VIII 199 203 204 213 220
de Saint-Exupery, Antoine X 75
De-encapsulation 30 107 131
decimal 79
Dedekind, Richard 78 117
Degree of freedom 73
Dehaene, Stanislas IX 17 66
Deletion Property 47
della Francesca, Piero 37 176 177
Demaine, Eric 221
Denef, Jan 132
Dennett, Daniel VIII 199
Determinacy 142
Determinant 8 9 12
Devadoss, Satyan XII 31
Devlin, Keith 220
Diagram, Feynman 246
Diagram, self-explanatory 23 36
Diagram, Voronoi 187
Dick, Philip K. 69
Dieudonne, Jean 51
Diffie — Hellman key exchange 235
Digit, binary 87
DIMENSION 77
Dimensional analysis 78
Dirichlet principle 58 211
Dirichlet region 211
Dirichlet, Johann Peter Gustav Lejeune 78 104
Discovery, mathematical 59
Discriminant 6
Distance 75
Division 87
Division, long 15
Domain, unique factorization 177
Dore, Gustave 97 98
Dostoevsky, Fedor Mikhailovich 67
Doyle, Peter 104
Drawing 31
Duality 250
Dubinsky, Ed XII 119
Dunham, Douglas XIII 85 86 104
Dyck path 52
Ecclesiastes 81
Education, mathematical 15
Eidetism 88
Eigenvalue 40
Eigenvector 40
Einstein, Albert 65
Electric charge 77
Elements 137 221 228
Elimination, Gauss — Jordan 14
Ellers, Eric XII 23 27
Embryogenesis 61
Encapsulated 116
Encapsulation VI 30 107 131 226
Equality 227
Equation, Boolean 14
Equation, cubic 10 11
Equation, differential 114
Equation, finite difference 114
Equation, linear 14
Equation, quadratic 6
Equation, quadric 11
Equation, wage 150
EQUIVALENCE 227
Erdoes, Paul 250
Ernest, Paul XII
Error Correction Code 210
Escher, M.C. XIII 83 85
Euclid 56 69 128 137 208 221
Euclidean geometry 26 214
Euclidean space 31 47
Euler's theorem 24 26 27 59
Euler, Leonhard 26 102
Evolution 25
Exponentiation, square-and-multiply 236
Feynman, Richard 77
Field of residues 236
Field, finite 234 236 243
Field, number 237
Filter of neighborhoods 118
Filter, Frechet 119
Fizmatshkola 126 127 182
Folding 208
Fomin, Sergey 54
Form, disjunctive normal 250
Form, quadratic 39
Form, real 39
Formula, Brahmagupta's 177
Formula, Cardano 10
Formula, choiceless multivalued 11
Formula, Heron's 173 178
Formula, logical 50
Formula, Newton's Binomial 18
Formula, Tetrahedron 177
Formula, trigonometric 18 173 175
Formula, validity of 49
Fraction, continued 87
Frequency hopping 154
Frequency-time pattern 156
Freudenthal, Hans 58 78
Friedman, Harvey M. 93
Froude, William 169
Function 4 108
Function, absolue value 17
Function, analytic 5 11
Function, boolean 250
Function, branch of 10
Function, compound 6
Function, continuous 114
Function, cubic root 10
Function, Dirichlet 104
Function, hypergeometric 63
Function, iteration of 5
Function, linear 4
Function, multivalued 10
Function, multivalued analytic 9
Function, non-analytic 5 9
Function, non-linear 4
Function, not differentiable 5
Function, polynomial 242 243
Function, square root 18
Function, two-valued 9
Function, uncomputable 104
Game, Massively-Multiplayer Online Role-Playing 230
Gardiner, Tony XII 123
Gaussian elimination 8
Gelfand, Israel XI XII 3 4 18 63 195
Gene HOXB8 16
Generator 240
Geometric intuition 27
Geometric progression 87
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