Ryser H.J. — Combinatorial Mathematics :: Электронная библиотека попечительского совета мехмата МГУ

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Ryser H.J. — Combinatorial Mathematics

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Название: Combinatorial Mathematics

Автор: Ryser H.J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1963

Количество страниц: 166

Добавлена в каталог: 28.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Minimal permanent      59 77 124
Minimal term rank      70 75
Minimal trace      76
Monotone column sum vector      61
Monotone row sum vector      61
Montmort      23
Moore, E. H      127 129
Multinomial coefficient      11
Multiplicative law      26
Multiplicity      7
Multiplier      135ff.
Multiplier, conjectures on      139
Multiplier, examples of      139 140
Multiplier, group      136
Multiplier, theorems      137 139
Nagell, T.      28 127 129
Netto, E.      16 127 129
Newman, M.      59 60 129
Nikolai, P. J.      127 129
Nonexistence theorem for (, , $\lambda$ )-configurations      111
Nonexistence theorem for finite planes      93 94 115
Normal matrix      103
Normalized class      69
Normalized form of matrix      118
Normalized Hadamard matrix      105
Normalized Latin rectangle      35
Null set      4
One to one mapping      6
One to one mapping, in projective plane      90
Order of finite plane      91
Order of group      7
Order of Kirkman system      101
Order of Latin square      36
Order of square array      24
Order of Steiner system      99
Ordered -tuple      see Sample
Ordered partition      4
Ordinary line      93
Ordinary point      93
Ore, O.      60
Orthogonal Latin squares      79ff.
Orthogonal Latin squares, and finite planes      92
Orthogonal Latin squares, as an array      82
Orthogonal Latin squares, complete set      80
Orthogonal Latin squares, Euler conjecture on      84ff.
Orthogonal Latin squares, existence theorems for      81ff.
Orthogonal Latin squares, for $n\equiv$ 10 (mod 12)      85
Orthogonal set      see Orthogonal Latin squares
Ostrom, T. G.      141
Paley, R. E. A. C.      127 129
Parker, E. T.      85 94 95 129
Partition of set      4
Partition of set, ( $r_{1}, r_{2}, ..., r_{k}$ ) repartition      10
Partition of set, ordered      4
Partition of set, unordered      4
Pascal triangle      14
Perfect difference set      131ff.
Perfect difference set, and circulant      131
Perfect difference set, and Hadamard configuration      133
Perfect difference set, conjectures on      132 139
Perfect difference set, examples of      139 140
Perfect difference set, fixing of      139
Perfect difference set, isomorphism of      135
Perfect difference set, multiplier of      135ff.
Perfect difference set, planar      132
Perfect difference set, survey of      133
Permanent      25ff.
Permanent, conjectures on      59 77 124
Permanent, formula for      26
Permanent, of circulant      125
Permanent, of incidence matrix      54 124
Permutation      5
Permutation matrix      54
Pickert, G.      95
Pigeon-hole principle      38
Planar difference set      132
Planar difference set, table for      132
Point      89
Point, ideal      93
Point, ordinary      93
Polynomial congruence      136
Prime      13
Principle of duality      90
Principle of inclusion and exclusion      18
Principle submatrix      44
Probl $\grave{e}$ me des m $\acute{e}$ nages      32
Probl $\grave{e}$ me des recontres      23
Problem of 36 officers      1 84
Problem of dance      58
Problem of Montmort      23
Problem of rooks      24
Problem of schoolgirls      1 101
Problem of weights      1
Product set      5
Projective plane      89ff.
Projective plane, duality in      90
Projective plane, finite      91ff.
Projective plane, incidence relation in      89
Projective plane, line of      89
Projective plane, one to one mapping in      90
Projective plane, point of      89
Proper subset      4
Quadratic form      108
Quadratic form, congruence of      109
Quadratic form, of matrix      108
Quadratic nonresidue      114
Quadratic residue      114
Rado, R.      46 60
Ramsey, F. P.      38 46
Ramsey’s theorem      38ff.
Ramsey’s theorem, applications      43ff.
rectangular array      24
Rectangular array, main diagonal of      25
Rectangular array, position in      24
Rectangular array, size of      24
Rectangular array, square      24
Rectangular array, subarray of      24
Rectangular array, symmetric      25
Rectangular array, transpose of      25
Recurrence      29
Recurrence inequality      41

Reiss, M.      100 127 129
Relatively prime      19 20
Replications      97
Representative      47
Richardson, M.      129
Right coset decomposition      51
Riordan, J.      16 28 29 36 37
Rooks      24
Rouse Ball, W. W.      127 130
Row by column rule      25
Row sum vector      61
Row sum vector, monotone      61
Rule of product      5
Rule of sum      4
Ryser, H. J.      59 60 78 93 94 95 127 128 130 141
Sade, A.      37
Sample      5
Sample, -sample      5
Sample, size of      5
Sch $\ddot{u}$ tzenberger, M. P.      130
Secondary diagonal      71
Selection      see Unordered selection
Set      3
Set, -set      4
Set, disjoint      4
Set, element of      3
Set, finite      4
Set, intersection of      4
Set, null      4
Set, of elements      4
Set, partition of      4
Set, proper subset of      4
Set, subset of      3
Set, union of      4
Shrikhande, S. S.      85 94 95 130
Sieve formula      19
Sieve of Eratosthenes      22
Silverman, R.      130
Singer, J.      132 141
Size of array      24
Size of sample      5
Size of unordered selection      7
Skolem, T.      46 127 130
Skornyakov, L. A.      95
Sprott, D. A.      130 141
Square array      24
Square array, order of      24
Squarefree      93
Squarefree part      93
Stanton, R. G.      141
Steiner triple system      99
Steiner triple system, number of      100 101
Steiner triple system, order of      99
Stevens, W. L.      94 95
Storer, J.      141
Straus, E. G.      129
subarray      24
Subset      3
Subset, -subset      4
Subset, proper      4
Swift, J. D.      127 128
Sylvester      19 109
Symmetric array      25
Symmetric group      6
Symmetric group, degree of      6
Symmetrical balanced incomplete block design      see ( $v$

System of common representatives      50ff.
System of common representatives, application to cosets      51
System of common representatives, fundamental theorem on      50
System of distinct representatives      47ff.
System of distinct representatives, fundamental theorem on      48
System of distinct representatives, lower bound for      48
Szekeres, G.      46
Table for $l_{N}$       37
Table for ( $q_{1}, q_{2}, t$ )      42
Table for planar difference sets      132
Tarry, G.      85 94 95
Taussky, O.      127 129 130
Term rank      55ff.
Term rank, fundamental theorem on      55
Term rank, intermediate      70
Term rank, maximal      70ff.
Term rank, minimal      70 75
Term rank, with $\tilde{p} =\bar{p}$       76
Tinsley, M. F.      127 130
Todd, J. A.      127 130
Touchard, J.      33 37
Trace      55
Trace, maximal      76
Trace, minimal      76
TRANSPOSE      25
Triple      99
Triple system of Kirkman      101
Triple system of Steiner      99
Turyn, R.      141
Unessential      1 71
Union of sets      4
Unordered collection      see Unordered selection
Unordered partition      4
Unordered selection      7
Unordered selection, -selection      7
Unordered selection, multiplicity of      7
Unordered selection, size of      7
Van der Waerden conjecture      59 77 124
Varieties      96
Vaughan, H. E.      59
Veblen, O.      94 95
Walker, R. J.      127 128
Weight      17
Welch, L. R.      141
Whaples, G.      59
Whiteman, A. L.      141
Williamson, J.      127 130
Wright, E. M.      28
Yamamoto, K.      36 37
Yates, F.      128
Yu, Chinese Emperor      1
Zero-one matrix      27 53ff. 61ff.
Zero-one matrix, as incidence matrix      53ff.
Zero-one matrix, class of      61ff.
Zero-one matrix, complement of      98

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