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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

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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