Galambos J. — Representations of Real Numbers by Infinite Series :: Электронная библиотека попечительского совета мехмата МГУ

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Galambos J. — Representations of Real Numbers by Infinite Series

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Название: Representations of Real Numbers by Infinite Series

Автор: Galambos J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 146

Добавлена в каталог: 15.08.2008

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Предметный указатель

-adic expanison, algorithm for      11
-adic expanison, definition of      11
-adic expanison, equivalent measure for      77
-adic expanison, ergodicity of      73 77
-adic expanison, metric results for integral base      51—54 58—61 118
-adic expanison, metric results for non-integral base      62—66 79 86 115
-adic expanison, realizability      12 13
( $\alpha$ , $\gamma$ )- expansion, algorithm for      4
( $\alpha$ , $\gamma$ )- expansion, definition of      5
( $\alpha$ , $\gamma$ )- expansion, metric results for      83—85 106 107
( $\alpha$ , $\gamma$ )- expansion, realizability for      7 8 9
Algorithm, need for      1-3
Balkema-Oppenheim expansion, algorithm for      4 19
Balkema-Oppenheim expansion, definition of      19
Balkema-Oppenheim expansion, metric results for      83—85 97 106 109
Balkema-Oppenheim expansion, realizability for      20
Basic concepts of ergodic theory      71 72
Basic concepts of probability theory      32—36 43 44 46
Borel-Cantelli lemmas      36 39 40 41
Cantor products, algorithm for      4 14
Cantor products, definition of      l8
Cantor products, metric results for      (88—109) 93 94
Cantor products, rationality of      29
Cantor products, realizability for      9 15
Cantor series,algorithm for      10 11 21 50
Cantor series,definition of      10 21 50
Cantor series,extended, definition      11
Cantor series,irrationality of      22 24
Cantor series,metric results for      51—62
Cantor series,rationality of      23 24 129
Cantor series,realizability for      11
Engel series, algorithm for      4 14
Engel series, definition of      17
Engel series, ergodicity of      8l
Engel series, metric results for      (88—109) 100 101 108

Engel series, rationality of      28 29
Engel series, realizability for      9 15 17
Ergodic transformation, definition      71
Hausdorff dimension, definition      112
Hausdorff dimension, evaluation of      114 132
L $\ddot{u}$ roth series, algorithm for      4 14
L $\ddot{u}$ roth series, definition of      18
L $\ddot{u}$ roth series, ergodicity of      80
L $\ddot{u}$ roth series, metric results for      66—69 115
L $\ddot{u}$ roth series, rationality of      28
L $\ddot{u}$ roth series, realizability for      9 15 18
Miscellaneous rationality criterions      28 30 31 129
Normal numbers      53 119
Oppenheim series, algorithm for      4 14
Oppenheim series, definition of      14
Oppenheim series, ergodicity of      80
Oppenheim series, metric results for      86 88—109
Oppenheim series, rationality of      25 26 27 28
Oppenheim series, realizability for      9 15
Piecewise linear transformations, algorithm for      75
Piecewise linear transformations, equivalent measures for      77
Piecewise linear transformations, ergodicity of      77
Random numbers, tables for      121
Realizable sequences, definition      6
Records      127
Subseries, metric theory of      122—125
Sylvester series, algorithm for      4 14
Sylvester series, definition of      17
Sylvester series, metric results for      (88—109) 93 94 97 100 101
Sylvester series, non-ergodicity of      81 96
Sylvester series, rationality of      29
Sylvester series, realizability for      9 15i
Sylvester type of expansions      17
Tak $\acute{a}$ cs sieve      40 92
Uniformly distributed sequences mod 1      125 126

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