The Golden Section

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منابع مشابه

A Generalization of the Golden Section

13. K. Jordan. Chapters on the Classical Calculus of Probability. Akademiai Kiadb, Budapest, 1972. 14. P. A. MacMahon. Combinatory Analysis, Vols. I and II. New York: Chelsea, 1960. 15. G. P. Patil & J. K. Wani. "On Certain Structural Properties of the Logarithmic Series Distribution and the First Type Stirling Distribution." Sankhya, Series A, 27 (1965):271-180. 16. J. Riordan. An Introduction...

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The Golden Section as Optical Limitation

The golden section, ϕ = (1 + √5)/2 = 1.618... and its companion ϕ = 1/ϕ = ϕ -1 = 0.618..., are irrational numbers which for centuries were believed to confer aesthetic appeal. In line with the presence of golden sectioning in natural growth patterns, recent EEG recordings show an absence of coherence between brain frequencies related by the golden ratio, suggesting the potential relevance of th...

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Lainiotis filter, golden section and Fibonacci sequence

The relation between the discrete time Lainiotis filter on the one side and the golden section and the Fibonacci sequence on the other is established. As far as the random walk system is concerned, the relation between the Lainiotis filter and the golden section is derived through the Riccati equation since the steady state estimation error covariance is related to the golden section. The relat...

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On Machin’s formula with Powers of the Golden Section

In this note, we find all solutions of the equation π 4 = a arctan(φκ)+ b arctan(φ`), in integers κ and ` and rational numbers a and b, where φ is the golden section. MSC: 11D45, 11D85, 11R04, 11R29.

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Online Comment Clustering Based on Golden Section Method

Based on the existing study of online comment on the short text paradigm and the golden section method as introduced, an improved method that calculates the short text distance based on the Golden section method is hereby proposed. The new method considers the text distance as the combination between the semantic distance and the form distance on the basis of the importance weight and the prefe...

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ژورنال

عنوان ژورنال: Nexus Network Journal

سال: 2006

ISSN: 1590-5896,1522-4600

DOI: 10.1007/s00004-006-0004-z