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Hilton H. — Homogeneous linear substitutions
Hilton H. — Homogeneous linear  substitutions

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Название: Homogeneous linear substitutions

Автор: Hilton H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1914

Количество страниц: 184

Добавлена в каталог: 25.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute invariant      40
Adjoint bilinear form      77
Adjoint Hermitian form      78
Adjoint quadratic form      78
Alternate substitution      34
Alternate substitution with given invariant-factors      184
Bertrand's theorem      110
Bilinear form      63
Canonical form of real orthogonal substitution      47
Canonical shape of family of bilinear forms      173
Canonical shape of family of Hermitian forms      177 180
Canonical shape of family of quadratic forms      175
Canonical shape of Hermitian form      66 74
Canonical shape of real quadratic form      67 74
Canonical substitution      29 59
Cayleyan orthogonal substitution      171
Characteristic-determinant      20
Characteristic-equation      20
Characteristic-equation of direct product      27
Characteristic-root      20 66
Characteristic-root of alternate substitution      43
Characteristic-root of Hermitian or real symmetric substitution      42
Characteristic-root of unitary substitution      37 46
Characteristic-root, common to two substitutions      25
Co variant of quantic      41
Coefficients of substitution      9
Collineation      90
Commutative substitutions      10
Congruent transformation      63
Conicoids      98 104
Conies      103
Conjugate substitution      17
Constituent of direct product      26
Contragredient transformation      72
Critical values of real quadratic form      96
Cyclant substitution      12
Definite Hermitian form      67
Definite Hermitian form, Hermitian substitution      34
Definite real quadratic form      68
Degree of substitution      9
Determinant of substitution      9
Direct product      26
E($\equiv$ unit substitution)      10
Einheit      10
Elementartheiler      52
Family of alternate forms      180
Family of bilinear, Hermitian, or quadratic forms      172
Generalized coordinates      107
Geometrical movements      94
Hamilton — Cayley relation      82
Hermitian form      65
Hermitian form, invariants      155
Hermitian form, substitution      34
Homogeneous linear substitution      9
Homographic transformation      90
Invariant      38
Invariant of quantic      41
Invariant-factors of alternate substitution      134
Invariant-factors of canonical substitution      56
Invariant-factors of determinant      52
Invariant-factors of direct product      55
Invariant-factors of inverse substitution      57
Invariant-factors of product of alternate substitution and real multiplication      55
Invariant-factors of product of alternate substitution and symmetric substitution      138
Invariant-factors of product of Hermitian substitution and real multiplication      55 144
Invariant-factors of product of two alternate substitutions      136
Invariant-factors of product of two Hermitian substitutions      142
Invariant-factors of substitution      54
Inverse of canonical substitution      28
Inverse substitution      13
Involution pencil      177
Lagrange's differential equation      86
Linear differential equations      83
Linear differential equations, homogeneous equations      88
Linear differential equations, invariant      147
Linear differential equations, invariant-factor      58
Linear differential equations, substitution      9
Linearly dependent substitutions      78
Matrix of substitution      9
Maxima and Minima of real quadratic form      96
Minkowsky's Theorem      16
Monomial substitution      26
Movement (geometrical)      94
Multiplication      26
Negative Hermitian form      67
Negative Hermitian form, real quadratic form      68
Normal substitution      22
Order of a direct product      27
Order of a substitution      14
Orthogonal substitution      84 38
Oscillations about a position of equilibrium      107
Permutable substitutions      10
Permutation      26
Pole      19
Poles of direct product      27
Positive Hermitian form      67
Positive Hermitian form, real quadratic form      68
Powers of a canonical substitution      28
Powers of a substitution      13
Principal coordinate      84 108
Product (direct)      26
Product (direct) of alternate and symmetric substitution      137
Product (direct) of alternate substitutions      135
Product (direct) of Hermitian substitution and a real multiplication      144
Product (direct) of Hermitian substitutions      120 142
Product (direct) of symmetric substitutions      122
Product (direct) of two or more bilinear forms      63
Product (direct) of two or more substitutions      10 11
Projective transformation      90
Quadratic form      64
Quadratic form, invariant      146
Quartic equation      95
Quasi-Hermitian substitution      144
Quasi-Hermitian substitution, with given invariant-factors      145
Rank of determinant      50
Rank of Hermitian form      66
Real substitution      34
Reducing cubic      95
Relations between powers of a substitution      79
Relative invariant      40
Schaar      172
Self-corresponding points      91
Similarity substitution      26
Simple invariant-factor      58
Skew-symmetric determinant      34
Standard type of alternate bilinear form      75
Standard type of bilinear form      68
Standard type of symmetric bilinear form      73
Substitution      9
Substitution with Hermitian invariant      169
Substitution, permutable with given substitution      112
Substitution, permutable with substitutions permutable with given substitution      117
Substitution, transformable into its inverse      61 169
Substitution, transformable into orthogonal substitution      160
Substitution, whose q-th power is given      116
Sum of substitutions      78
Tangential equations      103
Thomson's theorem      110
Transform of a substitution      17
Transformation of one alternate substitution into another      140
Transformation of one orthogonal substitution into another      161
Transformation of one symmetric substitution into another      128
Transposed substitution      17
Unit substitution      10
Unitary substitution      34 39
Variables of a substitution      9
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