Beth T., Jungnickel D., Lenz H. — Design Theory (vol. 2) :: Электронная библиотека попечительского совета мехмата МГУ

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Beth T., Jungnickel D., Lenz H. — Design Theory (vol. 2)

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Название: Design Theory (vol. 2)

Авторы: Beth T., Jungnickel D., Lenz H.

Аннотация:

This volume concludes the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten to reflect this. In particular, the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications, a fact that has been acknowledged here with the inclusion of an additional chapter on applications. The volume is suitable for advanced courses and for reference use, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Features include exercises and an extensive, updated bibliography of well over 1800 citations.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2 edition

Год издания: 1999

Количество страниц: 504

Добавлена в каталог: 11.04.2010

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Предметный указатель

$\lambda$ -design      81
$\lambda$ -design conjecture      81
$\lambda$ -design, type I      81
$\mu$ -hyperfactorisation      586
$\mu$ -hyperfactorisation, simple      586
$\pi$ -space      847
(t, w)-threshold schemes      967
(t, w, v)-threshold scheme      964
3-Net      847
Absolute trace      398
Accession number      932
Adjunction Theorem      627
Affine difference set      371
Affine incidence space      807
Affine space      11
Algebra, semisimple      316
Antipolarity      569
ARC      566 567
Arc, complete      582
Arithmetic conditions      63
Assmus — Mattson theorem      161
Attribute      932
Authentication code      959
Autocorrelation coefficient      945
Automorphism      20 164
Automorphism group      21 166
Automorphism group, class regular      372
Averaged treatment effect      876
Axioms of Veblen and Young      806
Axis      22 177
Baer subplane      275 565
Baranyai's Theorem      29
Barker sequence      422
Barrel shifter      943
Base block      24 175—176 297 465
Base point      24
Base vertex      226
Basis      645
Basis, signaling basis      898
Bays — Lambossy Theorem      474
Biplane      95 263
Block      1
Block, base block      175—6
Block, good      833
Block, repeated block      2
Block-residue      64
Breaking up blocks      617
Bruck net      37
Bruck — Ryser Theorem      94
Bruck — Ryser — Chowla theorem      93
Bruck's Completion Theorem      714
Building block      374
Building block, modulus      374
Building set      374
Building set, covering      374
Building set, extended building set (EBS)      382
Burnside's Lemma      171
Capacity      899
Cayley graph      225
Centraliser      280
Centre      22 177
Centred contrast      868
CHARACTER      313
Character, additive character      319
Character, principal      314
Character, quadratic character      56
Character, trivial      314
Chromatic index      227
Circle geometry      193
Class list      622
Class size of incidence structure      124
class type      622
Claw      718
Claw, maximal      718
Clebsch graph      145
CLIQUE      718
Clique, grand      720
Clique, maximal      718
Closure      819
Closure operator      619
Code, authentication code      959
Code, block code      153
Code, dual code      153
Code, equivalent code      153
Code, extended binary Golay code      246
Code, first-order Reed — Muller code      900
Code, Golay code      234
Code, Hamming code      894
Code, perfect      894
Code, point code      153
Code, self-dual code      157
Code, simplex code      919
Code, tetracode      923
Codeword      893 918
Collinear      809
Collineation      20
Collineation, central      188
Colour      227
Companion automorphism      185
Complementary graph      136
Complementary perpendicular array      563
Complementary structure      5
Complete mapping      763
Completion      713 827
Component      732
Configuration      16
Configuration, Desargues configuration      16
Configuration, Pappos configuration      18
conic      581
Connected components      226
Contracted Multiplier Theorem      334
Conway's 13-puzzle      242
Correlation      23
Counteroval      238
Covering      687
Covering number      687
Covering problem      687
Critical deficiency      716
Cross-ratio      208
Cross-ratio class      211
Cross-ratio distribution      211
CYCLE      148
Cycle, m-cycle      221
Cycle, t-subcycle      223
Cyclic difference family      220
Cyclic difference set      220
Cyclotomic class      356 509
Cyclotomic class, order      357
Cyclotomic number      357
Cyclotomic number, higher cyclotomic number      519
Cyclotomic number, order      357
Cyclotomic number, uniform      360
Decoder      893
Decoherence      912
Decomposition      457
Dedekind independence theorem      315
Deficiency      713 749
Degenerate projective plane      63
Degree      2
Deltoid      601
Dembowski — Wagner Theorem      812
Derived incidence structure      53 63
Desargues configuration      16
Design, $\lambda$ -design      81
Design, $\lambda$ -design, type I      81
Design, balanced incomplete block design      870
Design, block design      10 867
Design, derived      151
Design, divisible design      32
Design, embeddable      129 149

Design, experimental design      864
Design, GDD      32
Design, generalised quasiresidual design      135
Design, generalised residual design      135
Design, GMW-design      821
Design, Hadamard design      50 53
Design, high—table design      945
Design, indecomposable      641
Design, large      213
Design, locally affine      832
Design, locally projective      831
Design, locally symmetric      812 832
Design, matching design      588
Design, pairwise balanced design (PBD)      13
Design, pairwise balanced design (PBD), class-uniformly resolvable      686
Design, pairwise balanced design (PBD), partial      678
Design, pairwise balanced design (PBD), uniformly resolvable      686
Design, quasiderived      151
Design, quasiresidual      129
Design, quasismooth      818
Design, quasisymmetric      88
Design, residual      129
Design, SDP-design      848
Design, simple 1-design      5
Design, small      212
Design, super-simple      640
Design, symmetric      22 77
Design, t-design      15
Design, TD      37
Design, transversal design      37
Design, trivial      20
Design, weighing design      881 882
Design, Witt design      212 213 234
Development      299 469 521
DFT-spectrum      948
Difference      218
Difference cycle      221
Difference family      220 470
Difference family, cyclic      220
Difference family, multiplier equivalent      474
Difference family, radical      498
Difference list      332
Difference list, order      332
Difference matrix      532
Difference matrix, left (s,r; $\lambda$ )-difference matrix      766
Difference matrix, maximal      766
Difference sequence      221 598
Difference set      220 298
Difference set, Abelian      298
Difference set, affine difference set      371
Difference set, antisymmetric difference set      356
Difference set, central      328
Difference set, Chen difference set      366
Difference set, complementary      299
Difference set, cyclic      220
Difference set, cyclotomic      358
Difference set, Davis — Jedwab difference set      365
Difference set, decomposable      457
Difference set, equivalent      302
Difference set, genuinely non-abelian      410
Difference set, GMW-difference set      457 460
Difference set, Hadamard difference set      366
Difference set, McFarland difference set      363
Difference set, Menon difference set      366
Difference set, non-abelian      298
Difference set, non-trivial      298
Difference set, order      299
Difference set, Paley difference set      303
Difference set, Paley — Hadamard      301
Difference set, partial difference set (PDS)      230
Difference set, partial spread difference set      367
Difference set, planar      301
Difference set, relative difference set (RDS)      369
Difference set, reversible      430
Difference set, Singer difference set      302
Difference set, skew difference set      356
Difference set, Spence difference set      365
Difference set, symmetric      430
Difference set, trivial      298
Difference set, twin prime power series      354
Difference triple      482
Dilatation      734
DIMENSION      829
Discrete Radon transform      928
Distance      148
Divisible Design      32
Divisible design, symmetric      370
Dodecad      245
Doyen — Hubaut Theorem      830
Doyen — Wilson Theorem      674
Dual theorem      23
Duality      23
EBS      382
EDGE      14
Edge colouring      227
Elation      22 188 818
Encoder      893
Epimorphism      164
Equivalent      605
Error vector      858 893
Error, bit-flip error      914
Error, sign-plip error      914
Error-correcting code      893
Essential elements      645
Experiment, balanced      878
Experiment, incomplete      878
Experimental design      864
Extended building set      382
Extended building set, covering      382
Extension      53 63
Exterior line      567
Extremal t-design      109
Family      219
Fibre, complete      782
Fibre, m-fibre      781
FILE      932
First Koehler graph      604
First Multiplier Theorem      307 322
Fisher's Inequality      46 66
Flag      1
Flat      11 12 835
Forbidden subgroup      370
Form, degenerate      89
Form, equivalent      89
Form, non-degenerate      89
Form, quadratic form      89
Form, symmetric bilinear form      89
Function, signal function      898
Fundamental theorem of projective geometry      188
Gauss — Markov theorem      859
Gaussian coefficient      12
GDD, group divisible design      32
General GMW construction      456
Generalised Hadamard matrix      532
Generating set      645
Gewirtz graph      145
good      833
Graph      14
Graph of a PTS      673
Graph, $L_{2}$ -graph      728
Graph, bipartite graph      149
Graph, block graph      142
Graph, Cayley graph      225
Graph, Clebsch graph      145
Graph, complementary      136
Graph, complete bipartite graph      38
Graph, complete graph      26
Graph, conference      142
Graph, connected graph      226
Graph, cyclic graph      225

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