Degree of myelination (g-Ratio), Divine proportion and Fibonacci sequence – A mathematical relationship

2014 ◽  
Vol 63 ◽  
pp. S44-S45 ◽  
Author(s):  
Deivis de Campos
Keyword(s):  
Fibonacci Sequence ◽  
Mathematical Relationship ◽  
Divine Proportion ◽  
G Ratio

scholarly journals Researches on Mathematical Relationship of Five Elements of Containing Notes and Fibonacci Sequence Modulo 5

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Zhaoxue Chen
Keyword(s):  
Chinese Culture ◽  
Fibonacci Sequence ◽  
Mathematical Structure ◽  
Mathematical Relationship ◽  
Common Basis ◽  
Branch System ◽  
Close Relationship ◽  
Five Elements ◽  
Biological World ◽  
Relationship Of

Considering the five periods and six qi’s theory in TCM almost shares a common basis of stem-branch system with the five elements of containing notes, studying the principle or mathematical structure behind the five elements of containing notes can surely bring a novel view for the five periods and six qi’s researches. By analyzing typical mathematical rules included in He tu, Luo shu, and stem-branch theory in TCM as well as the Fibonacci sequence especially widely existent in the biological world, novel researches are performed on mathematical relationship between the five elements of containing notes and the Fibonacci sequence modulo 5. Enlightened by elementary Yin or Yang number grouping principle of He tu, Luo shu, the 12534 and 31542 key number series of Fibonacci sequence modulo 5 are obtained. And three new arrangements about the five elements of containing notes are then introduced, which have shown close relationship with the two obtained key subsequences of the Fibonacci sequence modulo 5. The novel discovery is quite helpful to recover the scientific secret of the five periods and six qi’s theory in TCM as well as that of whole traditional Chinese culture system, but more data is needed to elucidate the TCM theory further.

DIVINE PROPORTION IN MODERN ARCHITECTURE: A CASE STUDY

2016 ◽  
Vol 78 (10-4) ◽  
Author(s):  
Marina Mohamed ◽  
Nor Fadhilah Dzulkifli ◽  
Nazirah Ramli ◽  
Kamisah Ariffin ◽  
Muhamad Sahizan Hashim
Keyword(s):  
Fibonacci Sequence ◽  
Modern Architecture ◽  
Higher Learning ◽  
Floor Plan ◽  
Geometrical Analysis ◽  
Divine Proportion ◽  
Length Width ◽  
Body Shapes ◽  
The Universe

Mathematics and architecture are interrelated. A building with the appropriate mathematical elements in its design will be impressive in its appearance. One of the most widely used mathematical proportions in architecture is divine proportion, or better known as φ ( with Fn the n-th Fibonacci sequence). This type of proportion exists everywhere in nature, including in human body, shapes, artworks, music, paintings and even in the universe. In this study, we investigate the existence of divine proportion in modern architecture. In identifying the divine proportion, geometrical analysis was applied by measuring the dimensions of parts on the floor plan of a building in a higher learning institution in Malaysia. The length, width, height and angles of the floor plan were examined. The results show that the divine proportion, which was obtained from the proportion of length and width, exists in 33% of parts of the first and ground floors of the building examined.

Divine Proportion in Facial Esthetics

1982 ◽  
Vol 9 (4) ◽  
pp. 401-422 ◽  
Author(s):  
Robert M. Ricketts
Keyword(s):  
Divine Proportion ◽  
Facial Esthetics

scholarly journals Defect-induced B4C electrodes for high energy density supercapacitor devices

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Özge Balcı ◽  
Merve Buldu ◽  
Ameen Uddin Ammar ◽  
Kamil Kiraz ◽  
Mehmet Somer ◽  
...  
Keyword(s):  
Active Carbon ◽  
High Performance ◽  
Carbon Sources ◽  
High Energy ◽  
High Energy Density ◽  
Synthesis Conditions ◽  
High Energy Ball Mill ◽  
Energy Ball ◽  
G Ratio ◽  
Energy And Power Density

AbstractBoron carbide powders were synthesized by mechanically activated annealing process using anhydrous boron oxide (B2O3) and varying carbon (C) sources such as graphite and activated carbon: The precursors were mechanically activated for different times in a high energy ball mill and reacted in an induction furnace. According to the Raman analyses of the carbon sources, the I(D)/I(G) ratio increased from ~ 0.25 to ~ 0.99, as the carbon material changed from graphite to active carbon, indicating the highly defected and disordered structure of active carbon. Complementary advanced EPR analysis of defect centers in B4C revealed that the intrinsic defects play a major role in the electrochemical performance of the supercapacitor device once they have an electrode component made of bare B4C. Depending on the starting material and synthesis conditions the conductivity, energy, and power density, as well as capacity, can be controlled hence high-performance supercapacitor devices can be produced.

Carnivore Size and Quaternary Climatic Change in Southern Africa

1986 ◽  
Vol 26 (1) ◽  
pp. 153-170 ◽  
Author(s):  
Richard G. Klein
Keyword(s):  
South Africa ◽  
Southern Africa ◽  
Late Quaternary ◽  
Geochemical Data ◽  
Mathematical Relationship ◽  
Carnivore Species ◽  
Quantitative Estimates ◽  
The Relationship ◽  
Problematic Aspect ◽  
Cool Conditions

The relationship between carnassial length and latitude south is analyzed for 17 African carnivore species to determine if individuals tend to be larger in cooler climates, as predicted by Bergmann's Rule. With modern data in support, middle and late Quaternary temperatures might then be inferred from mean carnassial length in fossil samples, such as those from Equus Cave, Elandsfontein, Sea Harvest. Duinefontein, and Swartklip in the Cape Province of South Africa. One problematic aspect of the study is the use of carnassial length and latitude as necessary but imperfect substitutes for body size and temperature, respectively. For some species, another difficulty is the relatively small number of available modern specimens, combined with their uneven latitudinal spread. Still, in 14 of the species, carnassial length does tend to increase with latitude south, while mean carnassial length in the same species tends to be greater in those fossil samples which accumulated under relatively cool conditions, as inferred from sedimentologic, palynological, or geochemical data. Given larger modern samples from a wide variety of latitudes, refinement of the mathematical relationship between carnassial length and latitude in various species may even permit quantitative estimates of past temperatures in southern Africa.

Re: The divine proportion

1982 ◽  
Vol 82 (2) ◽  
pp. 166-167 ◽  
Author(s):  
Peter M. Sinclair
Keyword(s):  
Divine Proportion

On the zero-multiplicity of the k-generalized Fibonacci sequence

2020 ◽  
Vol 26 (11-12) ◽  
pp. 1564-1578
Author(s):  
Jonathan García ◽  
Carlos A. Gómez ◽  
Florian Luca
Keyword(s):  
Fibonacci Sequence ◽  
Generalized Fibonacci Sequence

scholarly journals Note on some representations of general solutions to homogeneous linear difference equations

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Stevo Stević ◽  
Bratislav Iričanin ◽  
Witold Kosmala ◽  
Zdeněk Šmarda
Keyword(s):  
General Solution ◽  
Difference Equation ◽  
Difference Equations ◽  
Fibonacci Sequence ◽  
Linear Difference Equation ◽  
Linear Difference Equations ◽  
Second Order Difference Equation ◽  
Constant Coefficients ◽  
Order Difference Equation ◽  
Homogeneous Linear

Abstract It is known that every solution to the second-order difference equation $x_{n}=x_{n-1}+x_{n-2}=0$ x n = x n − 1 + x n − 2 = 0 , $n\ge 2$ n ≥ 2 , can be written in the following form $x_{n}=x_{0}f_{n-1}+x_{1}f_{n}$ x n = x 0 f n − 1 + x 1 f n , where $f_{n}$ f n is the Fibonacci sequence. Here we find all the homogeneous linear difference equations with constant coefficients of any order whose general solution have a representation of a related form. We also present an interesting elementary procedure for finding a representation of general solution to any homogeneous linear difference equation with constant coefficients in terms of the coefficients of the equation, initial values, and an extension of the Fibonacci sequence. This is done for the case when all the roots of the characteristic polynomial associated with the equation are mutually different, and then it is shown that such obtained representation also holds in other cases. It is also shown that during application of the procedure the extension of the Fibonacci sequence appears naturally.

scholarly journals A Reliability Based Model for Wind Turbine Selection

2013 ◽  
Vol 2 (2) ◽  
pp. 69-74 ◽  
Author(s):  
A.K. Rajeevan ◽  
P.V. Shouri ◽  
Usha Nair
Keyword(s):  
Power Generation ◽  
Wind Speed ◽  
Wind Turbine ◽  
Wind Power ◽  
Point Of View ◽  
Cube Root ◽  
Mathematical Relationship ◽  
Turbine Generator ◽  
Wind Turbine Generator ◽  
A Site

A wind turbine generator output at a specific site depends on many factors, particularly cut- in, rated and cut-out wind speed parameters. Hence power output varies from turbine to turbine. The objective of this paper is to develop a mathematical relationship between reliability and wind power generation. The analytical computation of monthly wind power is obtained from weibull statistical model using cubic mean cube root of wind speed. Reliability calculation is based on failure probability analysis. There are many different types of wind turbinescommercially available in the market. From reliability point of view, to get optimum reliability in power generation, it is desirable to select a wind turbine generator which is best suited for a site. The mathematical relationship developed in this paper can be used for site-matching turbine selection in reliability point of view.

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