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Schroeder M.R. — Schroeder, Self Similarity: Chaos, Fractals, Power Laws
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Название: Schroeder, Self Similarity: Chaos, Fractals, Power LawsАвтор: Schroeder M.R. Аннотация: Readers of James Gleick's 1989 bestseller, Chaos, The Making of a New Science, will find the revolution predicted there in full swing in this advanced look at "self-similarity, ' ' one of chaos theory's most appealing applications. Self-similarity in computer graphics yields the awesome fractal mountain patterns that have made chaos a visible theory for many nonmathematicians. Readers with good command of calculus and some physics will appreciate how far chaos theory has penetrated theoretical physics, biology and the practice of research as described in puns, illustrations and puzzles by this 20th-century Lewis Carroll. Without those skills, however, readers may stand like Alice before a small door that opens on strange new wonders of the physical world, the extended horizons of number theory and advanced math recreation. Schroeder is a professor of physics at Goettingen University in Germany.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1991Количество страниц: 432Добавлена в каталог: 09.04.2008Операции: Положить на полку |
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Предметный указатель
1/f noise 34 289 Absolute temperature 124 144 Absorption 69 Abstract concrete 225 Accumulation point 281 Accumulation point of period-doubling 298 Acoustic cortex 224 Acoustic feedback 73 Acoustic nerve 71 122 Acoustic panel 74 Acoustic preference 75 Acoustical quality 73 74 77 Addams, C. 82 Affine transformation 29 Agu, M. [Agu 76] Aiken, C.L.V. [AZL...89] Albinet, G. [ASS 86] Algebraic behavior 366 Algebraic irrational number 242 Algebraic numbers 163 All-1s problem 382 Alphanumeric display 302 Alpher, R.A. [AH 48] 115 Alstrom, P. [AL 85] Alvarez, L.W. [AAMA 82] [Alv 33 105 Alvarez, W. [AAMA 82] Amorphous solid 302 Analog computer 151 Ander, M.E. [AZL...89] Anderson localization 36 88 Anderson, P.W. [And 58] 319 366 Anechoic environment 77 Antiferromagnetic interaction 320 324 362 363 Antiharmonic of an orbit 284 Aperiodic tiling 313 Aperiodic window 183 Aperiodicity 240 266 304 309 Apparent length 71 Arcsine law 146 293 Area-filling curve 10 Arithmetic-geometric mean 257 Arnold tongues 174 175 332 334 Arnold, V.I. [Arn 89] Arnold’s cat map 253 256 Arnol’d, V.I. 175 332 Arrhenius, S.A. 124 Articulator 45 Articulatory ambiguity 45 Asaro, F. [AAMA 82] Asymptotic self-similarity 99 AT&T Bell Laboratories 57 150 Atal, B.S. [ASSW 66] [SASW [SA Atomic lattice 362 Atomic size 113 114 Atomic spectra 114 Atomic unit of length 113 Attractor 40 169 244 271 Audio frequency range 71 97 Auditory center 71 Auditory neutron 87 Auditory paradox 95 Auditory research 34 Autocatalytic interaction 384 Avnir, D. [PA 83] 236 Avron, J.E. [AS 81] Babcock, K.L. [BW 90] Bach, J.S. 101 107 Backbone resistors 31 Backus, G. [AZL...89] Bahcall, J. [BPS 87] Bailey, D.H. [BBB 89] Bak, P. [BB 79] [BB [BB [JBB [JBB [BBJ [BTW [BTW [TB 320 333 389 Baker’s transformation 251 Bale, H.D. [BS 84] 236 Barclay, A. [Bar 1509] Bare winding number 175 331 334 Barnsley, M. [Bar 88] 28 261 Basilar membrane 85 87 122 Basins of attraction 27 28 39 181 206 243 Bass, T.A. [Bas 90] Beatty pair 53 Beatty sequence 53 55 307 325 Beranek, L.L. [HBM 39] [Ber 74 Berlekamp, E.R. [BCG 82] Bernoulli, D. 148 Bernoulli, Jakob 148 Bernoulli, Johann 148 Bernoulli, N. 148 Berry, M.V. [Ber 79] 27 41 Bessel, F.W. 172 Bethe lattice 87 353 363 Bifurcation 117 269 271 big bang 107 Billingsley, P. [Bil 83] Binary number system 163 169 383 Binary-shift map 292 Biological pattern formation 382 Biological shape 259 Birkhoff, G.D. 69 109 Bivens, I. [KB 88] Bizetti, P.G. [BBFT 89] Bizetti-Sona, A.M. [BBFT 89] Black hole 155 Black noise 112 122 129 Black, R.P. [HBS 65] Blackbody radiation 40 115 188 Blech, I. [SBGC 84] Block renaming 265 306 310 329 Bohr radius 113 Bohr, N. 319 Bohr, T. [JBB 83] [BBJ [JBB 333 Boltzmann, L. 8 140 143 Boltzmann’s constant 124 Bolzano, B. 13 187 Bond percolation 30 365 Borwein, J.M. [BB 87] [BBB Borwein, P.B. [BB 87] [BBB Bose condensation 334 Bose — Einstein distribution 189 334 Bose, S.N. 334 Boson 334 Botet, R. [KBJ 83] 232 Bouligand, G. 41 Boundary 40 Boundary point 39 Bounded motion 67 Box counting 213 221 Branching ratio 119 190 Broken symmetry 379 Bronchial tree 119 Brown music 109 Brown noise 109 111 122 128 Brown, R. 128 140 Brownian motion 86 128 133 140 142 144 Bruinsma, R. [BB 82] [BB 320 Burchfield, R.W. [Bur 87] Burning forest model 346 Bush in a breeze 261 Butler, D. 345 Cahn, J.W. [SBGC 84] Campi, X. [Cam 86] Cannell, D.S. [SMWC 84] Cantor sets 2 10 16 97 153 155 162 179 165 167 181 207 217 227 275 321 391 Cantor, G. 15 161 187 242 Cardy, J.L. [Car 85] Cartesian product 177 Cassini’s divisions 316 Catalan number 147 Catalytic converter 386 Catalytic oxidation 386 Catalytic reaction 233 Cauchy distribution 158 Cauchy variable 159 Cauchy, A.L. 158 Cayley tree 87 227 353 363 Cayley, A. 39 Celestial mechanics 67 Cellular automa 371 379 Cellular computer 372 Cellular growth and decay 375 cellular telephone 73 Central limit theorem 157 160 Chain code 57 Chain rule 271 Chalkin, P.M. [SWGDRCL 86] Chance 148 149 152 207 208 Channel capacity 128 150 151 Chaos 25 52 126 289 319 343 Chaos band 279 287 Chaos game 27 Chaotic mapping 240 Chaotic mixing 251 Chaotic motion 185 Chaotic orbit 252 Chaotic system 167 205 Chaotic tail 52 Chaotic tent map 292 Characteristic function 158 Characteristic impedance 226 Characteristic length 34 107 347 Characteristic scale 389 Characteristic time 356 Chave, A.D. [AZL...89] Chen, H. [WCK 87] [CLK 326 Cheshire cat 375 Chiavalo, D.R. [CJ 87] Chinese boxes 81 Chord 97 Chudnovsky, D. 258 Chudnovsky, G. 258 Circle map 174 331 334 Circularly polarized waves 90 Clark, D.S. [CS 88] 7 Clark, J. [VC 78] Classical mechanics 150 Classical vacuum 114 Closed set 162 Clouds 231 Cluster aggregation 232 cluster size 31 Clustering 152 Coastline 137 Coherence length 114 Coherence time 114 Cohesion 132 Collet, P.C. [CE 80] Colloidal aggregation 235 Color photography 66 Commensurate frequencies 324 Commensurate orbital periods 316 Commodity exchange 126 Communication theory 127 Complete chaos 291 Completion time 157 Complex base 47 Complex number system 48 Complex plane 40 Computer graphics 57 249 Computer tomography 44 133 135 Computing space 371 Comve, J.H. [Com 66] Concert hall acoustics 40 69 72 74 125 Condenser microphone 73 Conditional expectation 157 Confluence of rivers 117 Conformal mapping 298 299 369 Coniglio, A. [MSCW 85] [MCSW Connected sets 298 Consensus preference 77 Constance (Norman queen) 84 Continued fraction 51 52 57 91 100 102 116 226 315 325 328 337 392 Continuous function 140 Contractive transformation 29 Control group 147 Convolution integral 132 133 134 Conway, J.H. [BGG 82] 55 57 335 373 Conway’s sequence 59 Coon, D.D. [CMP 87] Cooper, A.P.R. [AZL...89] Coordination number 352 Coprime 100 323 Corner the lady 53 Correlation dimension 205 221 correlation length 31 43 352 355 361 367 Corzine, R.G. [CM 90] Cosmic background radiation 115 Cosmic shower 106 Cosmic string 139 Cosmology 41 Countable set 163 334 Coupled oscillators 324 338 Coupling parameter 175 Cramer, E. [LC 81] 277 Cranmer, T. 114 Crick, F. [Cri 81] 296 Critical circle map 340 343 Critical density 352 critical exponent 347 350 352 361 367 390 Critical frequency-band 71 Critical opalescence 357 Critical phenomenon 115 367 Critical point 115 350 Critical state 389 Critical temperature 361 Cross entropy 127 Cross-talk compensation 77 Crude oil extraction 219 220 Crystal growth 196 Crystal lattice 43 Cubic irrational number 394 Cumulative distribution 171 Curie point 36 346 Cutting line sequence 56 Cvitanovic, P. [CJKP 85] 334 Da Vinci, L. 117 Dallas, W.J. [ZD 85] Dangling bond 31 Dark matter 155 Darwin, C. 147 Daughter orbit 285 Davies, C. [DK 88] de Bruijn, N.G. [deB 81] De Haas, W.J. 302 De Morgan’s rule 180 de Seze, L. [DDI-83] de Wijs, H.J. [deW 51] 188 Decimal data 116 Dedekind, R. 164 Deflation 265 306 310 Dekking, F.M. [DMP 82] Dendrite 200 Derrida, B. [DGP 78] [DDI Determinism 167 Deterministic chaos 20 27 166 167 224 293 320 340 Deterministic diffusion 249 Devil’s staircase 2 167 209 321 Diaconis, P. [Dia 77] 116 Diagonal method 163 Dice 126 Difference equation 145
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