Existence of repetitions of digits in the construction of periodic sequences related to 3x+1 problem: Proof of the theorem on the periods in the 3-adic representation of terms of periodic sequences that appear in Collatz problem

机译：在与3x + 1问题有关的周期序列的构造中数字重复的存在：关于在Collatz问题中出现的周期序列的项的3 adic表示中的周期的定理证明

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The paper is the continuation of the previous paper on this topic. We first review some of the recent developments on 3x+1 problem. In the remaining part of the paper we prove the result announced at the end of the first paper. The proof uses the finite version of the method of mathematical induction.

机译：本文是该主题上一篇论文的延续。我们首先回顾一下有关3x + 1问题的最新进展。在本文的其余部分，我们证明在第一篇论文末尾宣布的结果。证明使用数学归纳法的有限形式。

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《IEEE International Conference on Application of Information and Communication Technologies》|2016年|1-4|共4页
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Yagub N. Aliyev;
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Informatics; Mathematics; Indexes; History; Seminars; Manganese;

机译：信息学;数学;索引;历史;研讨会;锰;

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1. Analytic Constructions of Periodic and Non-periodic Complementary Sequences [J] . Todor COOKLEV, Akinori NISHIHARA IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2006,第11期

机译：周期和非周期互补序列的解析构造
2. Periods of output sequences of an automaton for a given periodic input sequence [J] . A. V. BABASH Discrete mathematics and applications . 2009,第6期

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3. A Generation Method of Orthogonal Periodic Complex Number Sequence Sets with Lowest Peak of Cross-Correlation for Any Period Based on Chirp Sequences [J] . Kenji Ohue Electronics and Communications in Japan. Part 3, Fundamental Electronic Science . 2004,第5期

机译：基于线性调频序列的任意周期互相关最低峰值的正交周期复数序列集的生成方法
4. Existence of repetitions of digits in the construction of periodic sequences related to 3x+1 problem: Proof of the theorem on the periods in the 3-adic representation of terms of periodic sequences that appear in Collatz problem [C] . Yagub N. Aliyev International Conference on Application of Information and Communication Technologies . 2016

机译：与3x + 1问题相关的定期序列建设中的数字的重复存在：定理证明的定期性在Collatz问题中出现的周期性序列的三种ADIC表示中的时间
5. Optical Forces from Periodic Adiabatic Rapid Passage Sequences on Metastable Helium Atoms [D] . Stack, Daniel Thomas 2012

机译：周期性绝热快速通过序列对亚稳态氦原子的光学力
6. Diversity of tandemly repetitive sequences due to short periodic repetitions in the chromosomes of Candida albicans. [O] . H Chibana, S Iwaguchi, M Homma, 1994

机译：由于白色念珠菌的染色体中的短周期重复因此串联重复序列的多样性。
7. Analytic Constructions of Periodic and Non-periodic Complementary Sequences [O] . T. COOKLEV, A. NISHIHARA 2006

机译：周期性和非周期性互补序列的分析结构

Existence of repetitions of digits in the construction of periodic sequences related to 3x+1 problem: Proof of the theorem on the periods in the 3-adic representation of terms of periodic sequences that appear in Collatz problem

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