The Relationship between the Sum of Reciprocal Golden Section Numbers and the Fibonacci Numbers

机译：互惠金色截面数和斐波纳契数之和之间的关系

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The golden section sequence of pints was defined, and we found that the logarithmic spiral, golden section sequence, and Fibonacci sequence exhibit a close relationship. We considered infinite sums derive d from the reciprocals of the golden section numbers and Fibonacci numbers, and infinite sums derived from the reciprocals of the square of the golden section numbers and Fibonacci numbers. Applying the floor function to the reciprocals of these sums, we determined that they are equal to each other.

机译：定义了品脱的黄金切片序列，我们发现对数螺旋，金段序列和斐波纳契序列表现出密切的关系。我们考虑了无限的总和从金段号码和斐波纳契数的倒数导出d，以及从金段数字和斐波纳契数的平方的倒数衍生的无限总和。将地板函数应用于这些总和的互核，我们确定它们相等。

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《International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation》|2017年|1 v. (various pagings) :|共8页
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作者
Haiquan Fang; Huifeng Xue; Tiejun Zhou;
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原文格式 PDF
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中图分类 TP391-532;
关键词
Relationship between; Sum; Reciprocal Golden Section Numbers;

机译：之间的关系;总和;互惠金色部分;

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2. Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers [J] . Ho-Hyeong Lee, Jong-Do Park Journal of inequalities and applications . 2020,第a期

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4. The Relationship between the Sum of Reciprocal Golden Section Numbers and the Fibonacci Numbers [C] . Haiquan Fang, Huifeng Xue, Tiejun Zhou International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation . 2017

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5. The "new Hungarian art music" of Bela Bartok and its relation to certain Fibonacci series and Golden Section structures. [D] . Oubre, Larry Allen. 2006

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The Relationship between the Sum of Reciprocal Golden Section Numbers and the Fibonacci Numbers

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