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Knuth D.E. — The art of computer programming (Vol. 1. Fundamental algorithms)
Knuth D.E. — The art of computer programming (Vol. 1. Fundamental algorithms)



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Íàçâàíèå: The art of computer programming (Vol. 1. Fundamental algorithms)

Àâòîð: Knuth D.E.

Àííîòàöèÿ:

This first volume in the series begins with basic programming concepts and techniques, then focuses more particularly on information structures-the representation of information inside a computer, the structural relationships between data elements and how to deal with them efficiently. Elementary applications are given to simulation, numerical methods, symbolic computing, software and system design. Dozens of simple and important algorithms and techniques have been added to those of the previous edition. The section on mathematical preliminaries has been extensively revised to match present trends in research.


ßçûê: en

Ðóáðèêà: Computer science/Àëãîðèòìû/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1968

Êîëè÷åñòâî ñòðàíèö: 761

Äîáàâëåíà â êàòàëîã: 18.11.2005

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
DECX (decrease X)      129 206
Definition, circular      see “Circular definition”
Degree, of node in tree      305 314 345 350—351 376
Degree, of vertsx in directed graph      371
Deletion of node, from available space list      see “Reservation”
Deletion of node, from deque      248 266 271 294
Deletion of node, from doubly linked list      278—279 288 294 444—445
Deletion of node, from linear list      235
Deletion of node, from linked list      232 252 274 278—279 288 294 301—302 357—358 440 442 444—445
Deletion of node, from queue      237—238 240—241 257—258 262 271
Deletion of node, from stack      237—238 240—241 243 255—256 265—266 271 276 278—279 323 415—416
Deletion of node, from tree      357—358
Deletion of node, from two-dimensional list      301—302
Denned symbol, in assembly language      149
Deque      235—239 458
Deque, deletion from      248 266 271 294
Deque, input-restricted      235—239 415
Deque, insertion into      248 266 271 294
Deque, linked allocation      251 270 278
Deque, output-restricted      235—239 271
Deque, sequential allocation      240
Derivative of a formula      89 337
Descendant, in a tree structure      309
Determinant of a square matrix      35—37 377—378 474
Deuel, Phillip D.      552
Deutsch, L. Peter      417 421
Dewey, Melvil, notation for binary trees (due to Gallon)      315 329 345 405
Dewey, Melvil, notation for trees      310—311 314—315 345 381—382 459
Diagrams of structural information      230—231
Diagrams of structural information, before-and-after      256—257
Diagrams of structural information, List structures      312—313 407
Diagrams of structural information, tree structures      306—307 309
Dickson, Leonard Eugene      80
Difference of function      64
Difference of function, divided      472
Differentiation, algebraic      89 337—346 359 458
Differentiation, algebraic, chain rule for      50 see
Digamma function      94 490 616
Digraph      371 see
Dijkstra, Edsger Wybe      227 236 458
Dilworth, Robert Palmer      xii
Directed graph      371—381 420
Directed graph, as flow chart      365 380—381
Directed graph, balanced      374 377
Directed graph, connected      372 376 377
Directed graph, regular      378
Directed graph, representation of      380
Directed graph, rooted      372
Directed graph, strongly connected      372 377
Discrete system simulation      199 279—295
Discrete system simulation, synchronous      289 295
Disk files      132—133 436 461—462
Distribution, binomial      100 103
Distribution, normal      102—103
Distribution, Poiason      103 519
Distribution, uniform      100—101
Distributive law      27 35 40
DIV (divide)      127—128 135 204
Divided differences      472
Division converted to multiplication      513
Dixon, Alfred Cardew      489
Dixon, Robert Dan      504
DLINK: Link downward      408 410
Doig, Alison      406
Domino problem      382—385
doubly linked list      278—279 285—288 294—295 409—411 441—442 443—445 453 458
Dougall, John      489
Drum      132—133 456 461—462
Dual order for traversing tree      330 331
Dull, Brutus Cyclops      107
Dummy variable      27
Dunham, Bradford      346
Dunlap, James Robert      xii 456
Dvoretnky, Aryah      531
Dynamic storage allocation      242—251 253—254 411—413 419—420 435—455
Dynamic storage allocation, history      456—457 460—461
Dynamic storage allocation, running time estimates      419—420 445—450
Dynastic order      335 see
Easter Date      155—156
Edge in a graph      362
Edwards, Daniel James      421
EDX (load X)      125 135 204—205
Effective algorithm      6 8 9
Eisenstein, Ferdinand Gotthold      479
Elementary symmetric functions      93 94 494
Elevator system      280—295
Embedding of partial order into linear order      259 see
Embedding of tree in another tree      347 385
END      148 151
End of file      212—213 S24
Endorder for binary tree      316—317 310 324 328—330
Endorder for tree      334—335 345 349
English letter frequencies      155
ENN1 (enfer negative 1)      129 200
ENNA (enter negative A)      29 206
ENNX (enter negative X)      129 206
ENT1 (enter 1)      129 206
ENTA (enter A)      129 206
Entity      229 see
Entrances to subroutines      183—187
ENTX (enter X)      129 206
Enumeration of free structures      377—378 385—399 404
Enumeration of free structures, history      405—406
EQU (equivalent to)      142 145—146 151 152
Equivalence algorithm (Algorithm 233E)      354—355 360—361 376 572 575
Equivalence between two algorithms      466
Equivalence classes      353
Equivalence declaration      355 360—361
Equivalence problem      353 360—361
Equivalence relation      353
Equivalent of a MIXAL symbol      152
Equivalent trece      326 331 345
Erase a data structure, binary tree      331
Erase a data structure, linear hat      270 271 277
Erase a data structure, List      412—413
Erd&yi, Arthur      398 531
Erdwinn, Joel Dyne      226
Errors, avoiding      256—257
Errors, computational      24 26 302
Errors, detection of      189 197 294
Ethermgton, Ivor Malcolm Haddon      398 531
Ettingahausen, Andreas von      52
Euclides (— Euclid)      2 4 5
Euler, constant      74 110
Euler, Leonhard      48 51 56 86 108 110 373 405 494 531
Euler, summation formula      108—112 116 119
Euler, theorem of      41
Euler, totient function $\varphi(n)$      41 181
Eulerian circuit      373—375 377—379
Evaluate tree function      351 362
Evans, Arthur, Jr      198
Exchange operation      3 179
Exclusive OR      443 454 550
Execution time, methods for determining      95—104 166—169
Execution time, methods for MIX instructions      134—137
Exercises, notes on      xvii—xix
Exits from subroutines, multiple      186 266
Expected value of a probability distribution      98
Exponents, laws of      21—22 25
Expressions, arithmetic      see “Algebraic formules”
Extended binary tree      399—405
External path length      399—405
Faa di Bruno, Francesco, formula of      50 92 103
Factorial      45—51 53 111
Factorial powers      70 609
Factorization into primes      18 41 46 49 68
FADD (floating add)      127 304
Fail-safe program      267—268
Family tree      307—309 314
Family-order sequential representation of trees      349—350 359
Farber, David Jack      460
Farey, John, series      157
FATHER link in tree      352—355 359—360 426—432
Father, in a tree structure      307 314 333—334
FCMP (floating compare)      127 502 556
FDIV (floating divide)      127 304
Ferguson, David Elton      xii 227 332
Fermat, Pierre de      17
Fermat, theorem      39
Feynman, Richard Phillips      26
Fibonacci, Leonardo      78—79
Fibonacci, number system      85
Fibonacci, numbers      13 18 78—85 454
Fibonacci, numbers, generating function      81—82
Fibonacci, numbers, table of      615
Fibonacci, Quarterly      80
Fibonacci, sequence      13 18 78—85 454
Fibonacci, string sequence      85
Field, partial, of MIX word      122—127 135 130 203 232—233
Field, within a node      229
Field, within a node, notations for      231—233 457—458
FIFO      236 458 see
Fifty percent rule      445^46
Final vertex of arc      371
Fine, Nathan Jacob      483
First-fit method of storage allocation      436—438 447—450 452—453 605
First-in-first-out      236 sec
Fischer, Michael John      353
Fixed element of permutation      177—179
Fixed-point arithmetic      154—157
Flag      see “Sentinel”
Floating-point arithmetic      127 304
Floating-point operators of MIX      127 554—556
Floor function      37—38 40—4—1
Flow chart      2 18 364—3H5
Floyd, Robert W.      xii 17 10 20 420 473 504 552
FLPL      459—460
FMUL (floating multiply)      127 304
Ford, Donald Floyd      511
Foreeasting      221
Forest      306 407 see
Formulae, algebraic      see “Algebraic formulas”
Formulae, algebraic, logical      346
Forstemann, Wilhelin      488
FORTRAN      355 459
Fractional pari      38
Fragmentation problem      438—440 450
Franklin, Joel N.      xii
Free lattice      346—347
Free storage      see “Available spate”
Free trees      362—371 373 377—378 386—388 396 397
Free trees, enumeration      377—378 388 306 397
Free trees, minimum cost      370
Fridshal, R.      346
Front of queue      237
FSUB (floating subtract)      127 304
Fundamental cycles in graph      366—368 376
Furch, Robert      117
Future reference (in MIXAL)      149 151
Future reference (in MIXAL), restrictions on      152
Galler, Bernard Aaron      353
Gallon, Francis      558
Games, solution of      85 270
Gamma function      48—51 71 78 112 115—116
Gamma function, incomplete      113—119
Garbage collection      254 412—422 438—410 450 454—455 460 541
Gardner, Martin      79
Garwick, Jan Vaumund      244 456
Gaskell, Robert Eugene      85
Gauss, Karl Friedrieh      48 56 94
Gauss, reduction algorithm for matrix inversion      304
Gelernter, Herbert Leo      460
General Electric Corporation      456
Generating functions      81—83 86—93 97—104 178 239 386 388—389 391—399 404 532—533
Generating functions, asymptotic values from      230 395—396
Generating functions, for a discrete probability distribution      97—104 178
Geometric progression, sum of      31 87
Gerberich, Carl Luther      459
Gill, Stanley      226 456
Glaisher, James Whit bread Lee, constant      499
Gnedenko, Boris Vladiinirovich      103
GO-button of MIX      140 208
Goldbach, Christian      48
Goldberg, Joel      522
Golden ratio      13 18 21 79 81—85 613 614
Goldstine, Herman Heine      18 225
Golomb, Solomon Wolf      181
Goneharov, Vasilii Leonidovich      103
Good, Irving John      374 395 482
Gora, Saul      459
Gould, Henry Wadsworth      xii 62 117 484 490
Gower, John Clifford      458
Graham, Ronald Lewis      605
Graph      362—372 377—378 406
Graph, connected      362
Graph, directed      see “Directed graph”
Graphical display      159—160
Greatest common divisor      2 4—6 9 14—15 38—39 42 80—81
Greatest integer function      see “Floor function”
grid      228 371
Griswold, Ralph Edward      460
Haddon, Bruce Kenneth      603
Halayudha      52
Hamilton, Dennis Eugene      xii
Hamilton, Sir WiUiam Rowan, circuit      374 378
Hamlet, Prince of Denmark      228
Hansen, James Rone      459
Harary, Frank      406
Hardware-oriented algorithms      26 249 600
Hardy, Godfrey Harold      12 490 515
Harmonic numbers      73—78 89 110—111 156
Harmonic numbers, generating function      89
Harmonic numbers, table      615—616
Harmonic series      74
Harrison, Michael Alexander      iv
Hart man is, Juris      462
Heap sort      552
Heed of list      272 278 286—287 299—300 322 332 336 408—110 443
Height of vertex in free tree      387
Hellerman, Herbert      458
Henkin, Leon Albert      17
Herrnite, Charles      48
Heyting, Arend      405
Hifbert, David, matrix      37
HLT (halt)      132 139
Hoare, Charles Antony Richard      457
Holmes, Thomas Sherlock Scott      463
Holt Hopfenberg, Anatol Wolf      459
Honeywell H800      120
Hopper, Grace Murray      458
Huffman, David Albert      402—405
Hurwitz, Adolf      42
Hurwitz, generalized binomial formula      398 488
I/O: Input or output      211
IBM 050      i 120 226 456 523
IBM 701      226
IBM 705      227
IBM 7070      120
IBM 709      120 523
Identitv permutation      101 172
II-regiater of MIX      122 138
Iliffe, John Kenneth      460
Illiac I      226
IN (input)      132—133 211—212
In-degree of vertex      371
INC1 (increase 1)      12a
INCA (increase A)      129 206
Incidence matrix      267
Inclusion and exclusion principle      178—179 181
Incomplete gamma function      113—119
1 2 3 4 5
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