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Beckenbach E.F. (ed.) — Applied Combinatorial Mathematics
Beckenbach E.F. (ed.) — Applied Combinatorial Mathematics



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Название: Applied Combinatorial Mathematics

Автор: Beckenbach E.F. (ed.)

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1964

Количество страниц: 608

Добавлена в каталог: 31.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Equilibrium value of a game      321 345
Equivalence class, in a group      150
Equivalence relation      150 538
Equivalent circuit      44
Equivalent element of a group      150
Equivalent permutation      167
Equivalent schema for linear-equation systems      324
Equivalent schema for linear-equation systems, by pivot steps      327
Equivalent subsets of a permutation group      160 176
Erd$\ddot{o}$s, P.      215
Error, in codes      373
Error, maximum probability of      407
Error-correcting code      373—375
Escape probability      101
Essential term in equation for output line      40
Euclid      387 416 419 432 443 444 506 557 559 560
Euler conjecture      399
Euler number      89
Euler — Lagrange equations      260
Euler, L.      86 89 94 149 191 193 211 213 214 260 261 397 399 404 405
Eulerian digraph      191
Eulerian graph      191
Eulerian number      89
Euler’s conjecture      213
Euler’s transformation of series      86
Exclusion principle, Pauli’s      560 579
Expected terminal payoff in stopping-rule problem      301
Expected total payoff in stopping-rule problem      291
Exponential generating function      68
Exponentiation of permutation groups      211
Face-centered lattice      458
Factor, atomic form      475
Factor, atomic scattering      475
Factor, bracket      567
Factor, phase      476
Factor, site-occupancy      498
Factor, structure      477
Factor, temperature      476
Factorial digit      7
Factorial moment of a probability sequence      84
Factorial representation of an integer      7
Factorial, falling      68 74 88
Failure and replacement problem      305
Falling factorial      68 74 88
Fan, Ky      432 455
Favorable state, in stopping-rule problem      298
Feasible solution of a linear system      321 334
Feedback-control system      239
Feil, D      505 512
Feller, W.      99 142 319
Fend, F. A      282
Fermi — Dirac statistics      546
Fermi, E.      546
Fermi, G.      531
ferromagnetism      121
Fertilizer-testing application of block design      375
Feynman, R. P.      143 217
Fibonacci number      75—79
Fibonacci, L.      75—78 94
Field, finite      393
Field, primitive root of      394
Figurate moment of a probability sequence      85
figure      91 202
Figure collection      202
Figure, content of      202
Figure-counting series      202
Figure-store      91
Finite automation      197
Finite field      393
Finite field, primitive root of      394
Finite partially ordered set      363
Fisher, M. E.      105 121 124 142 143
Fivefold crystal symmetry, impossibility of      461 506
Fixed point      417 424
Fixed-point theorem      417
Fixed-point theorem, Brouwer’s      424 430 445
Fixed-point theorem, Brouwer’s, application of, to the fundamental theorem of algebra      446
Fixed-point theorem, Kakutani’s      432
Flip-flop memory element      32
Flip-flop memory element, delay      32
Flip-flop memory element, reset      33
Flip-flop memory element, set      33
Flow, from a point      351
Flow, into a point      351
Flow, maximal      354
Flow, net      351
Flow, static, in a network      351
Flow, value of      351
Flow, value of, bounds on      355—357
Flow-augmenting process      359
Forced continuation state in stopping-rule problem      288 306
Forced continuation state in stopping-rule problem, elimination of      296
Forced stopping state in stopping-rule problem      288
Ford — Fulkerson algorithm in network-flow problem      358
Ford, G. W.      180 184 208 212 215
Ford, L. R., Jr      242 252 358 365
Forward arc in a directed network      349
Foster, F. G.      142
Fourier transforms in crystallography      473—478 496
Fourier, J. B. J.      139 264 265 468 473—482 487 488 496—500 511-514
Fowler, R. H.      102 105 121 142
Fractional precision in the storage of vectors      9
Fraenkel — Conrat, H.      535
Frank, F. C.      512
Frankel, S.      287
Frankenheim, M. L.      457
Freimer, M.      282
Freund, J. E.      217
Fried, B. D.      282
Frisbee, R. J.      319
Frucht, R.      215
Fulkerson, D. R.      242 249 252 358 365
Function, antisymmetric      563
Function, channel probability      407
Function, continuous      424
Function, cost      306
Function, determined      67
Function, domain of      151
Function, equivalent      151
Function, generating      see Generating function
Function, Green’s      135—140
Function, group-reduction      180
Function, Hamiltonian      259 274
Function, inventory of      155
Function, minimum-return      269
Function, objective      331
Function, objective, contour line of      332
Function, partition      122
Function, Patterson      482
Function, range of      151
Function, symmetric      68 563
Function, symmetric, elementary      69
Functional digraph      210
Functional equations of dynamic programming      226 246 261 294
Fundamental index theorem      441
Fundamental theorem in enumerative combinatorial analysis      69 90 145 157 178 180 202
Fundamental theorem in enumerative combinatorial analysis, generalization of      161—164 182 204
Gale, G.      347
Gallai, T.      215
Game, basic solution in      322
Game, basic solution in, complementary      322
Game, feasible solution in      321
Game, key equation in      322
Game, matrix      320
Game, solution of      321
Game, two-person, zero-sum      320
Game, value of      321
Games, theory of      432 537
Gamete      540
Gamkrelidze, R. V.      282
Gamow, G.      534
Gate decision element      33
Gate decision element, $AND$      33
Gate decision element, $OR$      33
Gauss, C. F.      338 494
Gay — Lussac, J. L.      550
Gehman, W. G.      512 513
Gene      540
General graph      186
Generating function      67
Generating function, cumulant      86
Generating function, enumerative      69
Generating function, exponential      68
Generating function, exponential, derivative of      79
Generating function, for combinations      69 74
Generating function, for combinations, without repetition      71
Generating function, for cycle index      91
Generating function, for dimers      108
Generating function, for permutations      71
Generating function, for random walks      98
Generating function, for random walks, more general      104
Generating function, geometric probability      88
Generating function, in statistics      84—90
Generating function, of Bernoulli distribution      87
Generating function, ordinary      72
Generating function, ordinary, addition of      73
Generating function, ordinary, derivative of      73
Generating function, ordinary, multiplication of      73
Generating function, ordinary, multivariable      91
Generating function, Pascal probability      88
Generating function, Poisson binomial-moment      90
Generating function, probability      84
Generating function, semi-invariant      86
Genetics      540 584
Genotype      540
Genus      542
Geometric probability generating function      88
Gibbs, A. J.      513
Gibbs, J. W      558
Gilbert, E. N.      90 95 182 184 197 212 215 506 513
Girth of a connected graph      193
Girth of a connected graph, lower      193
Girth of a connected graph, upper      194
Gish, D. T.      535
Glicksman, A. M.      347
Glide plane in crystallography      466
Goldschmidt, R.      548 581
Golomb, S. W.      90 95 180 184 213 215 393 404
Good, I. J.      142
Gordan, P.      571
Gould, L.      252
Graeco — Latin square      213
Graph      180 185 362
Graph, $k$-colorable      191
Graph, $k$-colored      191
Graph, automorphism of      195
Graph, bipartite      363
Graph, biplanar      193
Graph, block of      194
Graph, closed      123
Graph, complete      187
Graph, connected      187
Graph, connected, cut point of      194
Graph, connected, diameter of      193
Graph, connected, index of      194
Graph, connected, lower girth of      193
Graph, connected, upper girth of      194
Graph, connectivity of      194
Graph, cubic      190
Graph, derivative      194
Graph, directed      see Digraph
Graph, enumeration of      186
Graph, Eulerian      191
Graph, general      186
Graph, group of      196
Graph, homeomorphic      192
Graph, homeomorphically irreducible      190
Graph, identity      195
Graph, interchange      194
Graph, isomorphic      186
Graph, labeled      199
Graph, labeled, admissible      199
Graph, labeled, admissible, area of      200
Graph, lattice      199
Graph, line      194
Graph, line-symmetric      195
Graph, multigraph      186
Graph, nonseparable      194
Graph, oriented      207
Graph, partition of      187
Graph, planar      192
Graph, plane      192
Graph, plane, arc of      192
Graph, plane, node of      192
Graph, plane, vertex of      192
Graph, point-symmetric      195
Graph, regular      190
Graph, self-complementary      211
Graph, signed      207
Graph, stochastic      224
Graph, strength of      207
Graph, subgraph      186
Graph, subgraph, spanning      186
Graph, superposition of      204
Graph, symmetric      195
Graph, two-dimensional lattice      199
Graph, type of      207
Graphical analysis of a linear program      332
Grating      554
Grating, complete      558
Grating, diffraction      468
Grating, finest      555
Grating, of slits      469
Grating, one-dimensional      471
Grating, refinement of      555
Grating, three-dimensional      468
Grating, two-dimensional      471
Graves, R. L.      347
Gray code      23
Gray, F      23 215
Green, G.      135 140 142
Green, H. S.      124 142
Greenstadt, J.      263 282
Green’s function      135—140
Grossman, A.      534
Group      145
Group reduction function      180
Group, amino      515
Group, Cayley representation of      148 168
Group, configuration      202
Group, hydroxyl      515
Group, Kranz      176 181
Group, line      196
Group, of a graph      196
Group, order of      145
Group, pair      208
Group, pair, ordered      208
Group, permutation      145
Group, permutation, cyclic      148
Group, permutation, degree of      145
Group, permutation, direct product of      149
Group, permutation, direct sum of      181
Group, permutation, equivalent subsets in      160
Group, phosphate      519
Group, point      463
Group, space      466
Group, symmetric      147
Group-theoretical methods in block design      397—403
Gu      519—521
Guanine      519—521
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