Index
acoustics, 8
action-angle variables, 50
additive continued fraction, 38, 41
additive number theory, 21
analytically conjugate, 55
aperiodic tilings, 63
Arnol'd tongues, 57
attracting fixed point, 54
Baxter's identity, 30
bending of light, 16
binary operation, 77
binary quadratic residue codes, 96
block-substitution, 66
Born, Max, 2
Bruckstein, A. M., 114, 119
canonical transformation, 46
cantori, 52
carry bit, 79, 80
chain codes, 113
chemical elements, 3
Chinese remainder, 10
Circle of Fifths, 5
completely integrable, 47, 48
computer, 1
computer graphics, 105
concert halls, 5
conserved quantity, 46
continued fraction, 4, 114, 115
corner transfer matrices, 24, 26
cryptography, 10
cut-and-project method, 39, 45, 63
cutting sequence, 114
cyclic code, 93
delta functions, 62
diffraction theory, 6
digital circle, 108
digital communication, 1
digital curve, 106, 113
digital ellipse, 112
digital line, 113-118
digital segment, 113, 116-119
Diophantine approximation, 36, 105
Diophantine condition, 55
directed graph, 81, 82
directed graph, component, 81
discrete mathematics, 1
divisible code, 102
Dorst, L., 119
doubly even, 93
Eddington, 16
eigenvalues, 26
Einstein, 2, 15
elementary particles, 1
ellipsoid method, 119
elliptic function, 24, 26
equivalent, 101
ergodic theory, 36
error-correcting code over GF{q), 91
error-correcting codes, 12
Euler's theorem, 11
Euler's totient, 118
Euler's totient function, 10
even-like duadic codes, 96
exclusive-or, 78, 79, 89
extended code, 92
Farey fan, 117, 118
Farey neighbors, 41
Farey series, 117, 118
Farey shift map, 38, 41, 43
Farey sum, 41
Farey tree, 41
Fermat prime, 3, 10
finite fields, 12
Forchhammer, S., 119
Fourier transform, 6, 1 5
Freeman approximation, 106-108
fundamental sequence, 75
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