|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Khinchin A.Y. — Continued Fractions |
|
|
|
| Предметный указатель |
Algebraic numbers 45
Algebraic numbers of degree n 45 50
Algebraic numbers, quadratic 45 47—50 62
Almost all 62
Approximant see "Convergents"
Arithmetic mean of the first n elements of a continued fraction 93
Best approximations 20 21—22
Best approximations of the first kind 24
Best approximations of the second kind 24
Bounded elements, irrational numbers with 36 60—62
Canonical representation of a finite continued fraction 3
Canonical representation of a segment 4
Chebyshev, P.L. 38 39
Convergence of a continued fraction 8
Convergence of a continued fraction, criterion for 10—12
Convergents 4 6 30
Convergents as best approximations 20—28
Convergents of a real number 9
Convergents, irreducibility of 12
Convergents, rate of increase of denominators 13 65—66
Convergents, recursion formula for 5
Convergents, rule of formation 4
Density of a number in the first n elements of a continued fraction 92
Density of a number in the sequence of elements of a continued fraction 92—93
Diophantine approximations 38—44
Elements as a function of the number represented 52—60
Elements of a continued fraction 1
Elements of a real number 9
| Finite continued fraction 1
Gauss, K.F. 71 81—86
Geometric mean of the first n elements of a continued fraction 93
Huygens, C. 28
Infinite continued fraction 1
Intermediate continued fractions 13—15
Intermediate continued fractions as best approximations 22
Kuz'min, R.O. 71—82
Lagrange, J.L. 47
Levy, P. 66 71 82
Liouville, J. 45 46 50
Measure of sets 51
Mediant of two fractions 14
Order of a continued fraction 1 2
Order of approximation 28—34 35 62
Ostrogradskii, M.V. 21
Periodic continued fraction 47—50
Rank of an interval 54—57
Regular continued fraction 1
Remainder of a continued fraction 2 8
Remainder of a real number 9
Segment of a continued fraction 2
Segment of a real number 9
Simple continued fraction 1
Systematic fractions 19
Transcendental numbers 45
Transcendental numbers, existence of 47
Uniqueness of representation of numbers 12 16—18
Value of a continued fraction 8 9 12 14
|
|
|
| Реклама |
|
|
|
|
|
О проекте