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Knuth D.E. — The art of computer programming (Vol. 2. Seminumerical algorithms)
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Название: The art of computer programming (Vol. 2. Seminumerical algorithms)
Автор: Knuth D.E.
Аннотация: This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published at regular intervals. Each fascicle will encompass a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 4, Fascicle 2 - This fascicle inaugurates the eagerly awaited publication of Knuth's "The Art of Co
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Рубрика: Computer science /Алгоритмы /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Издание: 2nd edition
Год издания: 1981
Количество страниц: 688
Добавлена в каталог: 18.11.2005
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Предметный указатель
Seed (starting value) in a linear congruential sequence 9 15 19 137 170
Seidenberg, Abraham 182
Selection sampling 137—138 140
Selfridge, John Lewis 378 395
Semigroup 517
Senidenary number system 186 see
Septenary (radix 7) number system 183
Serial correlation test 70—72 75 78—85 148 168
Serial test 36 60 72 73 85—88 91 105—110 113 151
Sethi, Ravi 466
SETUN 192
Sexagesimal number system 180—183 209 309
Shakespeare, William v
Shallit, Jeffrey Outlaw 363
Shamir, Adi 386 398 486
Shanks, Daniel Charles 268 360 384 385 626
Shannon, Claude Elwood 195
Shaw, Mary Margaret 470 479 497
Sheriff 174—176
Shift operators of MIX 322
Shift register recurrence 29—31 35 424
Shirley, John William 183
Shuffling a random sequence 31—35 37
shuffling cards 139—141
Sibuya, Masaaki 128
Sieve procedure 373—374 394
Sieveking, Malte 656
signatures, digital 388—389
Signed-magnitude representation 186—187 193—194 198 232 250
Significant digits 179 213 223
Sikdar, Kripasindhu 310
Silver, Roland Lazarus 654
Simulation 1
Sine 471
Singh, Avadhesh Narayan 441
Singleton, Richard Collom 642
Sink vertex 461
Slash arithmetic 314—316 363—364
SLB (shift left AX binary) 322
Slide rule 209 240
Slowinski, David Allen 391
Small step 447
Smirnov, NikolaT Vasil'evich 54 55
Smith, David Eugene 181 182
Smith, Henry John Stephen 598
Smith, J. E. Keith 26
Smith, Robert Leroy 212
Sobol', Il'ia Meerovich 519
Soden, Walter 306
Solitaire 174
Solovay, Robert Martin 380 396
Sorted uniform deviates 130 132 136
Source vertex 461
Sowey, Eric Richard 173
Species of measure zero 166
Spectral test 24 29 89—113 170 530
Spectral test, algorithm for 98—101
Sphere, n-dimensional 54
Sphere, n-dimensional, random point on 130—131
Sphere, n-dimensional, volume of 101
Spherical coordinates 57
SQRT box 389 397
Square root 117 197 268 342 359 380—382 389 398 464
Square root, modulo p 437
Square root, power series 507
Squarefree polynomials 421 436 440
Squeeze method 120—123 129 134—135 553
SRB (shift right AX binary) 322 462
Stability of polynomial evaluation 467 470 471
STACK 283—285
Standard deviation, evaluation of 216 229
Stanley, Richard Peter 558
Star chain 447 453—457 461 463
Star step 447
Stark, Richard Harlan 210
Starting value in a linear congruential sequence 9 15 19 137 170
Statistical tests see “Testing”
Steele Jr., Guy Lewis 589
Stegun, Irene Anne 41 661
Stein, Josef 321
Stein, Marvin Leonard 263
Stern — Peirce tree 363 608
Stern, Moriz Abraham 607
Stevin, Simon 182 405
Stibitz, George Robert 186 209
Stirling, James, approximation 57 517 605 636
Stirling, James, numbers 62 63 282 519 624 665
Stockmeyer, Larry Joseph 301
Stolarsky, Kenneth Barry vi
Stone, Harold Stuart 210
Stoppard, Tom 60
Storage modification machines 295 301
Strassen, Volker 290 295 300 380 396 478 481 488 503 648
Straus, Ernst Gabor 363 465
String polynomials 418—419
Stroud, Arthur Howard 265 310
Sturm, Jacob Karl Franz 416 420 619
Subbarao, Mathukumalli Venkata 449
Subresultant algorithm 410—418 420 436—436 657
Subsequence rule 155—160 162—163 165—166 169
Subsequence tests 65 151
Subtraction 178 191 197 250—253 265—268
Subtraction, complex 468
Subtraction, continued fractions 602
Subtraction, floating point 200—204 214—216 219—225 230 232—234 238—239 249
Subtraction, fractions 313—315
Subtraction, mixed-radix 193
Subtraction, mod m 15 171 271—272
Subtraction, modular 269 277
Subtraction, multiple-precision 250—253 265—268
Subtraction, polynomial 399—401
Subtraction, power series 506
Subtractive random number generation 36 171—173
Sugunamma, Mantri 449
Sum of periodic sequences 31 35
Summation by parts 597
Sun Tsu (= Wu) 265 271
Suokonautio, Vilho 265
Sup 532
Svoboda, Antom'n 267 276
Swedenborg, Emanuel 184
Sweeney, Dura W. 238 360
Swinnerton-Dyer, Henry Peter Francis 625
Sykora, Ondrej 641
Sylvester, James Joseph 415 417
Synthetic division 402
System/370 14—15 104
Szabo, Nicholas Sigismund 275 276
Szymanski, Thomas Gregory 518
t-distribution 130
Tables of fundamental constants 342 584 614 659—662
Tague, Berkley Arnold 401
Tail of a floating point number 220
Tail of the binomial distribution 160
Tail of the normal distribution 122—123 134
Takahasi, Hidetosi 275
Tanaka, Richard Isamu 276
Tangent 360 647
Tannery, Jules 226
Taranto, Donald Howard 310
Tarski, Alfred 502
Taussky Todd, Olga 104
Tausworthe, Robert Clem 30
Taylor, Alfred Bower 185
Taylor, Brook 470
Television script 174—176
Ten's complement notation 186—187 194
Tensor 487—496 501—505
Terminating fractions 311
Ternary number system 179 183 190—193 197 211 268 311 336
Ternary number system, balanced 190—193 211 268 336
testing for see “Testing”
Testing for randomness 38—113
Testing for randomness, a priori tests 75
Testing for randomness, chi-square test 39—45 50—54 56—59
Testing for randomness, collision test 68—70 72—73 151
Testing for randomness, coupon collector's test 61—63 74 151 167
Testing for randomness, empirical tests 59—75
Testing for randomness, equidistribution test 59 72
Testing for randomness, frequency test 59 72
Testing for randomness, gap test 60—61 72—73 131 151 167
Testing for randomness, Kolmogorov — Smirnov test 45—52 54—58 59 68
Testing for randomness, maximum-of-t test 49 51 57 68 74 117 151 167
Testing for randomness, partition test 62 72 151
Testing for randomness, permutation test 64 75 76 147
Testing for randomness, poker test 62 72 151
Testing for randomness, run test 61 65—68 72 74 88 151 167
Testing for randomness, serial correlation test 70—72 75 78—85 148 168
Testing for randomness, serial test 36 60 72 73 85—88 91 105—110 113 151
Testing for randomness, spectral test 24 29 89—113 170 530
Testing for randomness, subsequence tests 65 151
Testing for randomness, theoretical tests 75—113
Thacher, Henry Clarke, Jr. 510
Theoretical tests for randomness 75—113
Thiele, Thorvald Nicolai 487
Thompson, John Eric Sidney 180
Thomson, William Ettrick 3 10 21
Thurber, Edward Gerrish 451 458 459
Tienari, Martti 265
Tingey, Fred Hollis 55
Tippett, Leonard Henry Caleb 2
Tobey, Robert George 622
Tocher, Keith Douglas 553
Toeplitz, Otto 657
Tonal System 185
Tonelli, Alberto 626
Toom, A. L. 280 282 284 290
Topological sorting 461
Torres y Quevedo, Leonardo de 209
Trabb Pardo, Luis Isidoro 369 611
Trager, Barry Marshall 631
Trailing digit 179
Transcendental numbers 363
TRANSPOSE 488 664
Traub, Joseph Frederick 133 335 380 410 470 479 486 497 512—513 514 515 656
Trees, binary 363 555 630
Trees, enumeration of 639
Trees, oriented 444—446 463 530 567
Trees, representation of 463 530 555 634
Trial quotient 255—260 263—264 266—267
Triangularization of matrices 425—427 621 625
Trie 630
Trilinear representation of tensors 503
Triple-precision floating point 237
Trits 190
Tropfke, Johannes 339
Truncation: suppression of trailing digits 222 293
Tsu Chhung-Chih 181
Tuckerman, Bryant 391
Tukey, John Wilder 642
Tung Yun Mei 689
Turan, Paul 602
Turing, Alan Mathison 561
Twindragon 190 564
Two's complement notation 14—15 187 194 197 212 261 262
Ulam, Stanislaw Marcin 135
Ulp 217
Ultimately periodic sequences 7—8 21 359 369
Underflow, exponent 201 203 206 211 216 227—228 233
Underflow, gradual 206
Ungar, Peter 647
Uniform deviates 9—37 116—117 170—173
Uniform distribution 2 9 45 47 55 114 116—120 133 248
Unique factorization domain 403—405 417
Unit in a unique factorization domain 403 417
Unlimited precision 265 268 314
Unnormalized floating point arithmetic 223—225 227 229 310
Useful primes 276 390 391 614 652
Uspensky, James Victor 264
Valach, Miroslav 276
Valiant, Leslie Gabriel 480
Vallee Poussin, Charles Louis Xavier Joseph de la 366
Valtat, Raymond 186
Van Ceulen, Ludolph 182
van de Wiele, Jean-Paul 478 648
van der Corput, Johannes Gualtherus 157
van der Waerden, Bartel Leendert 180 415 499 632
van Leeuwen, Jan 497 647
van Wijngaarden, Adriaan 227
Vari, Thomas Michael 642
Variance-ratio distribution 130
Vaughan, Robert Charles 433
Veltkamp, Gerhard W. 573
Vertex cover 466
Vicente Goncalves, Jose 627
Viete, Francois 182
Vigesimal number system 180
Ville, Jean 560
Voltaire, Francois Marie Arouet de 184
von Fritz, Kurt 318
von Mangoldt, function 355 361
von Mangoldt, Hans Carl Friedrich 613
von Mises, Richard, Edler 142 165 475
von Neumann, John 1 3 26 114 120 124 135 186 210 263 310
von Schelling, Hermann 63
von Schubert, Friedrich Theodor 431
Wadel, Louis Burnett 188
Wadey, Walter Geoffrey 210 227
Waiting time 131
Wakulicz, Andrzej 188 268
Wald, Abraham 157 165
Wales, Francis Herbert 178 186
Walfisz, Arnold 366
Walker, Alastair J. 115 122 134 555
Walker, Andrew Morris 71
Wall, Donald Dines 527
Wall, Hubert Stanley 339
Wallace, Christopher S. 299
Wallis, John 182—183
Walsh, Joseph Leonard 483
Wang, Paul Shyh-Horng 436 631
Ward, Morgan 528
Waterman, Alan Gaisford vii 37 104 111 139 529
Waterman, Michael Spencer 608
Watson, Eric John 30
Weather 72
Wedge-shaped distributions 120—121
Weigel, Erhard 183
Weighing problem 192
Weights and measures 182—185 193 310
Weinberger, Peter Jay 380 397 632
Welch, Lloyd Richard 430
Welch, Peter Dunbar 642
Welford, B. P. 216
Westlake, Wilfred James 31
Weyl, Hermann 168 366 592
Wheeler, David John 210
White sequence 168
White, Jon L 589
Whiteside, Derek Thomas 467
Wilf, Herbert Saul 140
Wilkes, Maurice Vincent 185 210
Wilkinson, James Hardy 226 480
Williams, Hugh Cowie 378 397
Williams, John Hayden 519
Williamson, Dorothy 110
Winograd, Shmuel, vii 265 299 481 482 488 490 494 495 496 502 505 641 646 647 654
Wirsing, Eduard 347 350 361
WM1 (word size minus one) 15 236 253
Wolf, Thomas H. 176
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