arXiv 1602.015072016-02-03math.NT

Nega- $\tilde Q$ -实数的表示

Nega-$\tilde Q$-representation of real numbers

Symon Serbenyuk

备注：: in Ukrainian. One can to familiarize with some results of Symon Serbenyuk that it were published in Trans. Dragomanov Nat. Pedagogical Univ. Ser. 1, Physics and Mathematics, for positive (http://fmi.npu.edu.ua/images/files/publications/naukchasopys1/NZ2013_14.pdf, p. 253-267) and alternating Cantor series (http://fmi.npu.edu.ua/images/files/publications/naukchasopys1/NZ2013_15.pdf, p. 168-187)
发表信息：: Bulletin Taras Shevchenko National University of Kyiv. Mathematics. Mechanics, 1 (35), 2016, 32-39

摘要：

本文致力于实数的负$\tilde Q$表示的建模.该表示是交替康托级数和正$\tilde Q$表示的推广--表示是实数正康托级数表示的推广。分析和几何方法被用于建模的负$\tilde Q$ -表示。研究了这些方法的优缺点，并对它们的表示方法进行了建模.该调查在乌克兰国家科学院数学研究所分形分析研讨会上发表，2014年10月30日（http：www.imath.kiev.ua/events/index.php? 2015年4月7日至10日在基辅举行的“概率、可靠性和随机最优化“国际会议。

英文摘要：

The article is devoted to modeling of the nega-$\tilde Q$-representation of real numbers. The representation is a generalization of representation by alternating Cantor series and positive $\tilde Q$-representation is a generalization of representation of real numbers by the positive Cantor series. Analytic and geometric approach are used for modeling of nega-$\tilde Q$-representation. Advantages and disadvantages of these approaches are investigated, the representation is modeled. The investigation was represented in seminar on fractal analysis of Institute of Mathematics of the National Academy of Sciences of Ukraine on, October 30, 2014 (http://www.imath.kiev.ua/events/index.php?seminarId=21&archiv=1) and International Conference "Probability, Reliability and Stochastic Optimization", Kyiv, April 7-10, 2015.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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