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Glenn O.E. — A Treatise on the Theory of Invariants
Glenn O.E. — A Treatise on the Theory of Invariants

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Название: A Treatise on the Theory of Invariants

Автор: Glenn O.E.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1915

Количество страниц: 245

Добавлена в каталог: 25.03.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute covariants      2 42
Algebraically complete systems      see “fundamental systems”
Anharmonic ratio      3
Annihilators: binary      25
Annihilators: ternary      189
Anti-seminvariants      176 179
Apolarity      51 173
Arithmetical invariants      12 32 48 157
Aronhold's polar operators      46
Associated forms      158
Bezout's resultant      168
Bilinear invariants      51
Boolean concomitants of a linear form      156
Boolean concomitants of a quadratic      157
Canonical forms: binary cubic      108
Canonical forms: binary quartic      111
Canonical forms: binary sextic      112
Canonical forms: ternary cubic      111
Class of ternary form      230
Classes in modular theory      204
Co variant curves      171
Cogrediency      20
Combinants      162
Complete system: absolutely      129
Complete system: relatively      130
Conic, system of      224
Contragrediency      212
Contravariants      228
conversion operators      70
Convolution      93 220
coordinates      15
Covariants: definition      23
Covariants: systems      144—161
Covariants: universal      32
Cubic, binary: canonical form      108
Cubic, binary: fundamental system      68 100 141
Cubic, binary: syzygy      107 110 161
Cubic, ternary: canonical form      111
Cubic, ternary: fundamental system      225
Cubic, ternary: semi-discrimiuants      193
Degree      20
Determinant, symbolical      55 170
Differential equation, satisfied by combinants      163; see “also annihilators”
Differential invariant      9
Diophantine equations      116
Discriminant      4 31
Eliminant      30
End coefficients      179
Euler's theorem      44
Existence theorem      40
Factors of forms      69 191
Fermat's theorem      14 21
Finiteness: algebraical concomitants      66
Finiteness: formal-modular concomitants      204
Finiteness: modular concomitants      204
Formal modular concomitants      12 157
Fundamental systems      144 161 204 223 225
Geometry of point ranges      78
Gordan's proof of Hilbert's theorem      112
Gordan's series      83
Gordan's Theorem      128
Grade of binary concomitant      123
Grade of ternary concomitant      220
Group of transformations      18
Group, the induced group      19
Harmonically conjugate      6
Hermite's reciprocity theorem      76
Hesse's canonical form      111
Hessians      28
Hilbert's theorem      112
Identities, fundamental: binary      66
Identities, fundamental: ternary      218
INDEX      34
Induced group      19
Inflexion points      171
Intermediate concomitants      47
Invariant area      1
Invariants: formal modular      157 204
Invariants: fundamental systems      144—161
Invariants: modular      203
Involution      78
Irreducible systems      see “fundamental systems”
Isobarism      35
Jacobians      27
Jordan's lemma      119
Line equation of conic      223
Line equation of cubic      229
Line equation of form of order m      230
Linear transformations      15
Linearly independent seminvariants      178 205
Mixed concomitants      228
Modular: concomitants      203
Modular: forms      203
Modular: transformation      12
Operators      see “annihilators”
Operators, Aronhold      46
operators, conversion      70
Parametric representation      169
Partitions      238
Polars      42
Projective properties      78
Quadratic      65
Quadric      225
Quartic      89
Quaternary form      33
Quintic      147
Range of points      78
Rational curves      169
Reciprocity, Hermite's law      76
Reduction      64 83
Representation, typical      159
Resultants      29 166 168
Resultants in Aronhold's symbols      151
Robert's theorem      179
Roots, concomitants in terms of      69
Semi-discriminants      193
Seminvariants: algebraic      175
Seminvariants: modular      205
Sextic, canonical form of      112
Simultaneous concomitants      23
Skew concomitants      39
Standard method of transvection: binary      57
Standard method of transvection: ternary      219
Stroh's series      89
Symbolical theory: binary      53
Symbolical theory: ternary      209
Symmetric funtions: binary      69
Symmetric funtions: ternary      191
Symmetry      39
Syzygies: algebraic      104
Syzygies: modular      208
Tables: I. Concomitants of binary cubic      68
Tables: II. Concomitants of binary quartic      89
Tables: III. System of quadratic and cubic      147
Tables: IV. System of quintic      150
Tables: V. Semi-discriminants of ternary cubic      200
Tables: VI. Modular system of quadratic      204
Tables: VII. System of ternary cubic      225
Ternary quantics: fundamental systems      223 225
Ternary quantics: symbolical theory      209
Ternary quantics: transvection      219
Transformations, non-linear      9; see “linear transformations”
Transformed form: binary      16
Transformed form: ternary      187
Translation principle: Clebsch's      228
Translation principle: Meyer's      169
Transvectants, binary: definition      51
Transvectants, binary: theorems on      92
Transvectants, ternary: definition      209 219
Transvectants, ternary: theorems on      220
Types      48
Typical representation      159
Uniqueness of canonical reduction      109 112
Universal covariants      32 212
Weight      34
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