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[标准] Hall定理-hall theorem

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发表于 2017-5-17 11:16:05 | 显示全部楼层 |阅读模式 | 百度 
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输入的解释:
Hall´s theorem (continued fraction result)
连分式定理:
Hall´s theorem says that any real number t can be decomposed into a sum of the formt = n + {0;b_1, b_2, ...} + {0;b_1^*, b_2^*, ...}where n element Z and where 1<=b_k, b_k^* <=4 for k = 1, 2, 3, .... Named after mathematician Marshall Hall, Hall´s theorem is meant to provide the set R of real numbers an analogue of a certain decomposition property Cantor´s middle thirds set C, namely that C satisfies the identityC + C = I + Iwhere I = {0, 1}. Though difficult, Hall´s original paper provides details on a slew of continued fraction constructions and properties; Rockett and Szüsz provide a second, more concrete elaboration.
细节:
相关概念:
continued fraction | regular continued fraction
历史:
证明日期:
1947 (70 years ago)
证明人:
Marshall Hall, Jr.
时间轴:
引用:
Marshall Hall, Jr. On the Sum and Product of Continued Fractions. Annals of Mathematics 48, 966-993, 1947.Andrew MRockett and Peter Szuesz. Continued Fractions. p. 78, 1992.


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