Scott Olsen, The Golden Section: Nature’s Greatest Secret

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...

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...

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...

The Natures of Nonconfigurationality

Olsen Formula

By Thomas Olsen, MD, PhD The calculation of IOL power in an eye that has undergone corneal refractive surgery is not a straightforward task. However, if you understand why the calculation may go wrong, you will have a fair chance of getting a good result using modern technology. It is important to understand that the calculation errors of post-LASIK eyes are the sum of the traditional errors pl...