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

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成果类型:
期刊论文、会议论文
作者:
Fang, Haiquan*;Xue, Huifeng;Zhou, Tiejun
通讯作者:
Fang, Haiquan
作者机构:
[Xue, Huifeng; Fang, Haiquan] China Aerosp Acad Syst Sci & Engn, Beijing 100048, Peoples R China.
[Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
通讯机构:
[Fang, Haiquan] C
China Aerosp Acad Syst Sci & Engn, Beijing 100048, Peoples R China.
语种:
英文
期刊:
AIP Conference Proceedings
ISSN:
0094-243X
年:
2017
卷:
1834
期:
1
页码:
040035
会议名称:
5th International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation (CDMMS)
会议论文集名称:
AIP Conference Proceedings
会议时间:
APR 22-23, 2017
会议地点:
Busan, SOUTH KOREA
会议主办单位:
[Fang, Haiquan;Xue, Huifeng] China Aerosp Acad Syst Sci & Engn, Beijing 100048, Peoples R China.^[Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
主编:
Fang, D Zhu, S Kuang, T
出版地:
2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
出版者:
AMER INST PHYSICS
ISBN:
978-0-7354-1504-1
基金类别:
National Natural Science Foundation of China Joint fund of Guangdong [U1501253]; Guangdong Provincial Science and Technology Planed Projects [2016B010127005]
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
The golden section sequence of points was defined, and we found that the logarithmic spiral, golden section sequence, and Fibonacci sequence exhibit a close relationship. We considered infinite sums derived 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 ...

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