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| Borovik A.V. — Mathematics under the microscope |
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| Предметный указатель |
Plato 128
plotting 4
Plurality marker 44 61 104
Plutarch 54
Poe, Edgar Alan 92 94
Poincare, Henri 109 113
Polynomial equivalence 242
Polynomial, characteristic 40
Polynomial, Laurent 76 77
Polynomial, quadratic 4
Polynomial, symmetric 176
Polytope, convex 71 190
Pons asinorum 136 137
Poole, David 210
Pope, Alexander 225
Pratchett, Terry XII 29 237 238
Principle, Indeterminacy 245
Problem, discrete logarithm 236
Product, tensor 39
Projection 244 250
proof 29 31
Proof by "formal symmetry" 137
Proof by enumeration of cases 144
Proof by handwaving 115 175
Proof of small width 134
Proof, acceptance of 59
Proof, accepted 31
Proof, diagrammatic 175
Proof, non-constructive 18
Proof, pictorial 23 40
Proof, pure proof of existence 142
Psychology, cognitive IX 233
Push-down storage 49
Pythagoras 212
Quaternion 36
Radical 11
Radzivilovsky, Vladimir XII 74 75 109
Rasnow, Brian 39
Reality, virtual 108
Recovery procedure 172
Rederivation 172 173
Reductio ad absurdum 143
Reflection 27
Reflexivity 47
Regression, linear 150
Reification 107 126 201
Relation, "betweenness" 56
Relation, anti-symmetric 71
Relation, binary 55
Relation, ternary 55
Relation, transitive 71
Representation, multiple 62
Reproduction IX 29 49
Ring of invariants 177
Ring of Laurent polynomials 76
Ring of polynomial invariants 176
Ring, graded 76
Rippling 43
Rockafellar, R.T. 71
Root of cubic equation 10
Root system 38
Root, cubic 10
Root, multiple 120
Root, pronic 11
Rota, Gian-Carlo 120
Rotation 40 73
Royle, Gordon XII 19
Rubik's cube 190
Rules of the game 29
Russell, Bertrand 104
Saccadic movements 26
Sarnecka, Barbara 56
Sarnecka, Barbara W. XIII 45
Schroeder, E.M. 219
Schupp, Paul 241
Self-awareness 23
Selfe, Lorna 33 88
Seroussi, G. 236
Set, convex 70
Set, empty 111
Set, Lebesque measurable 143
Sfard, Anna 107 108 127—129 229
Shapiro, Stewart 128
Shelah, Saharon 9
Simon, Imre 11
Singer, Isadore 63
Sloane, N.J.A. 134
Smart, Nigel P. 236
Smith, Frank 65 88
Snook 238
Snook, finitely presented 240
Snyder, Allan 33 42
Sonar 156
Space, Euclidean 70
Space, non-Euclidean 56
Specialization 57
Speed 75
Spelke, Elizabeth 169
Square grid 52
Stanley, Richard 51 53 54
Stashef, Jim 53
Steinitz, Wilhelm 140
Stewart, Ian 200
Stillwell, John XII 36 37 78 178 221
Strategy 143
Strategy, optimal 119
Strategy, winning 62 78 141
Structure 57
Structure, o-minimal 120
Subitizing 6 45 58 59 61 62 78 233 249
Sublation 112
Sudoku XII 14 15 17 78
| Symbolic manipulation 6 30
Symlog 49
Symmetry VI 21 64 78 81 247
Symmetry of snowflakes 241
Symmetry, formal 137
Symmetry, rotational 72
Symmetry, semantic 137
Symonds, Peter 133
System of mirrors 21
System, mirror 36
Taimina, Daina 27 28 70 79
Tall, David 119
Tammet, Daniel 43
Tarr, Michael J. 24 40 206
Tarski's World 49
Tarski, Alfred 104
Tartaglia, Niccolo 10
Taylor, H.M. 37
Tessellation 82
Tessellation, euclidean 84
Tessellation, hyperbolic 82 92
tetrahedron 36 177
Tetrahedron, isosceles 177
Tetrahedron, regular 37
TeX 216
The Sand Reckoner 89
Theorem, Coxeter — Tits 47 56 62
Theorem, Dirichlet Units 211
Theorem, Euler's 26 73
Theorem, Fermat 168
Theorem, Fubini 131
Theorem, Goedel's Incompleteness 227
Theorem, Palindrome Representation 47 56
Theorem, Zermelo's 151
Theory of Coxeter groups 23
Theory of hyperbolic groups 241
Theory of o-minimal structures 120
Theory, APOS 119
Theory, conspiracy 61
Theory, control 19
Theory, Coxeter VII 22 30 53 81
Theory, finite group 15
Theory, invariant 176
Theory, numerological 61
Theory, representation 18 35 63
Theory, snook 238
Theory, special relativity 39
Thomas, Robert XII XIII 57
Thompson, D'Arcy 169
Thompson, Pat 107 128 129
Thurston, William 32 33 69 108 109
Tichy, Ijon XII
Times table 74
Tits, Jacques 47
Tomography, positron emission (PET) 58
Tomography, proton emission 232
Topology, 2-adic 87
torque 222
Torus 236
Translation 62
Translation, parallel 73
Tree, phylogenic 13
Triangle, Pythagorean 211
Trichotillomania 16
Trigonometry 18 172
Trubachov, Anatoly Mikhailovich 162
Turing machine 49 104
Two-knower 44
Ufnarovski, Victor Anatolievich 91 102 184
Ultrafinitism 93
Universal Product Code 221
Uspensky, Vladimir Andreevich 67 68
Utyuzhnikov, Sergey XII 162
Vandervert, Larry 59
Variety 240
Variety, abelian 236
Vector 76 251
Velocity 77
Venet, Bernard 215 216
Verbalization 50
Verging 128
Vermeer, Jan IV V VII
Viete, Francois 80 129 207
Vinberg, Ernst Borisovich 21
Visualization 31 41 88 175
Volume Principle 111
Voronoi cell 187
Vos Post, Jonathan 220
Voussoir 192
Weierstrass, Karl 117
Welch — Costas array 157 158 161 165 168
Weyl, Hermann XII 105
White, Leslie A. 229
White, Neil XII 189 195
Word 41 46
Word processing 49
Word, empty 46
Word, equivalent 46
Word, palindromic 48
Word, palindromical 48
Word, reduced 47
Word, synonimous 46
WYSIWYG 36
Xiao-ping, Deng 109
Yalcinkaya, Suekrue XIII 192
Yessenin-Volpin, Alexander Sergeevich 93 94
Zelevinsky, Andrei 54
Zeno 92 104
Zermelo — Fraenkel axioms 241
Zermelo, Ernst 140 151
Zero divisor 105
Zong, Chuanming 105
Zvonkin, Alexander 75
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