|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Ritt J.F. — Differential algebra |
|
|
|
| Предметный указатель |
Adherence 122
Adjunction of indeterminates 18
Adjunctions to fields 20 52
Algebraic differential manifold 21
Algebraic manifold 82
Algebraically irreducible d.p. 30
Analytic case 23, 166
Approximation theorems 103 122
Basis 9 165
Basis, strong 11
Basis, weak 11
Chain 3 164
Characteristic set 5
class 2
Complete set 150
Component 23
Component, restricted 24
Constant 1
Constant, arbitrary 57
Decomposition of finite systems 109 118 175
Decomposition of ideals 13 14 166
Decomposition of manifolds 22 23 117 118 165
Differential field 1 163
Differential polynomial 2
Differential polynomial over a field 2
Differential power series 78
Differentiation 1 163
DIMENSION 44 87
Dimension of intersection 133
Divisor 13 81
Divisor, essential prime 14 82
Elimination theory 109 112 176
Embedded manifolds 49
EQUIVALENCE 95
Essential prime divisor 14 82
Exceptional point 124
Exponents of ideals 78
Extended set 150
Extensions of fields 1 19 50 52
Field, algebraic 1
Field, differential 1 163
Fields of constants 20
Fields, extensions of 1 19 50 52
Finite systems 109 118 175
General solution 30 166
General solution, restricted 32
Generic point 27
Generic zero 26 83 166
Ideal generated by a system 7
Ideal of d.p. 7
Ideal of polynomials 81
Ideal, nontrivial prime 25
Ideal, perfect 7
Ideal, prime 7
Ideals, decomposition of 13 14 166
Ideals, product of 11
Ideals, relatively prime 14
Indeterminate, differentian 2
| Indeterminates, adjunction of 18
Indeterminates, parametric 34 84
Initial 5 164
Intersection of general solutions 138
Jacobi'S bound 135
Kronecker'a theorem 146
Lagrange 33
Laplace 77
Leader 163
Low power theorem 64 126 170
Lueroth's theorem 52
Manifold, algebraic 82
Manifold, algebraic differential 21
Manifold, irreducible 21 83
Manifold, operations on 132
Manifold, reducible 21 83
Manifold, restricted 23
Manifold, sequences of 131
Manifolds, decomposition of 22 23 117 118 165
Mark 151
Monomial 147
Multiple 147
Multiplier 150
Normal zero 122
Order of irreducible manifold 49
Order of resolvent 45
Orders of components 133
Orthonomic system 152
Painlevie's transformation 128
Parametric derivative 153
Parametric indeterminates 34 84
Passive system 160
Point of contact 122
Point of manifold 21
poisson 77
Polynomial ideal 81
Principal derivative 153
Product of ideals 11
Relatively prime ideals 14
Remainder 7
Remainder, class 26
Resolvent 34 83
Resolvent, construction of 110
Resolvent, order of 45
Restricted manifold 23
Separant 5 164
Singular solution 32 75
Singular zero 32
Solution 21
Solution, general 30 166
Theorem of zeros 27 28 87 111 166 176
Zero 21 81
Zero, analytic 23
Zero, generic 26 83 166
Zero, normal 122
Zero, regular 26
Zero, singular 32
Zeros, theorem of 27 28 87 111 166 176
|
|
|
| Реклама |
|
|
|
|
|
О проекте