scholarly journals Golden Ratio

2021 ◽  
Vol 20 ◽  
pp. 19-42
Author(s):  
Dr. Chetansing Rajput
Keyword(s):  
Golden Ratio ◽  
Geometric Features ◽  
Complementary Relationship ◽  
The Real ◽  
Pythagorean Triple ◽  
Geometric Relationship

This paper introduces the unique geometric features of 1:2:  right triangle, which is observed to be the quintessential form of Golden Ratio (φ). The 1:2:  triangle, with all its peculiar geometric attributes described herein, turns out to be the real ‘Golden Ratio Triangle’ in every sense of the term. This special right triangle also reveals the fundamental Pi:Phi (π:φ) correlation, in terms of precise geometric ratios, with an extreme level of precision. Further, this 1:2:  triangle is found to have a classical geometric relationship with 3-4-5 Pythagorean triple. The perfect complementary relationship between1:2:  triangle and 3-4-5 triangle not only unveils several new aspects of Golden Ratio, but it also imparts the most accurate π:φ correlation, which is firmly premised upon the classical geometric principles. Moreover, this paper introduces the concept of special right triangles; those provide the generalised geometric substantiation of all Metallic Means.

scholarly journals A Classical Geometric Relationship That Reveals The Golden Link in Nature

2019 ◽  
Vol 17 ◽  
pp. 401-413
Author(s):  
Chetansing K. Rajput
Keyword(s):  
Golden Ratio ◽  
Complementary Relationship ◽  
Geometric Relationship

This paper introduces the perfect complementary relationship between the 3-4-5 Pythagorean triangle and the 1:2: right-angled triangle. The classical geometric intimacy between these two right triangles not only provides for the ultimate geometric substantiation of Golden Ratio, but it also reveals the fundamental Pi: Phi correlation (π: φ), with an extreme level of precision, and which is firmly based upon the classical geometric principles.

scholarly journals Golden Ratio, Silver Ratio and other Metallic Means ; Geometric Substantiation of all Metallic Ratios

2021 ◽  
Vol 20 ◽  
pp. 174-187
Author(s):  
Chetansing Rajput
Keyword(s):  
Golden Ratio ◽  
Geometric Features ◽  
Regular Pentagon

This paper introduces the concept of special right angled triangles those epitomize the different Metallic Ratios. These right triangles not only have the precise Metallic Means embedded in all their geometric features, but they also provide the most accurate geometric substantiation of all Metallic Means. These special right triangles manifest the corresponding Metallic Ratios more holistically than the regular pentagon, octagon or tridecagon, etc

The Modern Tradition

2017 ◽  
Author(s):  
Melissa Anne-Marie Curley
Keyword(s):  
Real World ◽  
Church And State ◽  
Nation State ◽  
Pure Land ◽  
Complementary Relationship ◽  
The Real ◽  
Pastoral Letter ◽  
Private Matter ◽  
Modern Nation State ◽  
The Ideal

Abbot Kōnyo’s pastoral letter of 1871 codifies an understanding of the Pure Land as a transcendent realm, attainable only after death, and of faith as a private matter of the heart. This understanding is valuable as a way of negotiating a place for Shinshū in the regime of the modern nation-state. Early Meiji thinkers like Shimaji Mokurai rely on this understanding of religion as internal in arguing for the separation of church and state. Shinshū reformer Kiyozawa Manshi pushes this focus on interiority to its limit, destabilizing the complementary relationship between the Buddhist law and the imperial law that his predecessors sought to secure. During the Taishō, Kiyozawa’s disciple Kaneko Daiei attempts to rearticulate the connection between the ideal Pure Land and the real world, while the Honganji-ha thinker Nonomura Naotarō argues that it is time for the Pure Land tradition to set aside the myth of the Western Paradise.

scholarly journals The Kalman Filter for Complex Fibonacci Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
John Donoghue
Keyword(s):  
Kalman Filter ◽  
Broad Class ◽  
Golden Ratio ◽  
Measurement Equation ◽  
Output Measurement ◽  
The Real ◽  
Error Covariance ◽  
Analytic Expressions ◽  
Noisy Output ◽  
Complex Coefficients

This paper investigates the characteristics of the Kalman filter for a broad class of complex Fibonacci systems and represents an extension to the complex domain of the state estimation problem for the real-valued Fibonacci system. Complex Fibonacci systems are obtained by modifying the real-valued Fibonacci recurrence relation to include complex coefficients, control and noise inputs, and a noisy output-measurement equation. Analytic expressions for the Kalman filter’s steady-state gain and error covariance matrices are obtained, and it is found that for a broad subclass of these complex systems the elements of the matrices are functions of the golden ratio.

IMPEDANCE MATCHING OF A HF ANTENNA-FEEDER PATH WITH THE APPLICATION OF VARIOUS OPTIMIZATION METHODS

2020 ◽  
pp. 77-86
Author(s):  
A. P. Pavlov ◽  
I. E. Kashchenko
Keyword(s):  
Comparative Analysis ◽  
Simulation Model ◽  
Golden Ratio ◽  
Impedance Matching ◽  
Optimization Methods ◽  
Ratio Method ◽  
Matching Network ◽  
The Real ◽  
Calculation Of Parameters

The paper provides information on the algorithm of calculation of parameters of the matching network of HF radio-transmitting devices. One of the main advantages of this algorithm is the possibility of the use of various methods of optimization that allows estimating their efficiency. As the main methods of optimization are used: Nelder – Mead method, method of the golden ratio, method of patterns. For verification works of an algorithm of calculation of parameters of the matching network the simulation model of the matching network considering construction features of the real matching network of HF range is created. In conclusion, the results of imitating modeling of an algorithm with the use of various methods of optimization and comparative analysis this result is introduced.

Scanning electron microscopy of human iliac bone by a simple preparation method

1990 ◽  
Vol 48 (3) ◽  
pp. 226-227
Author(s):  
Toshihiko Takita ◽  
Tomonori Naguro ◽  
Toshio Kameie ◽  
Akihiro Iino ◽  
Kichizo Yamamoto
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
Preparation Method ◽  
Specimen Preparation ◽  
Real Surface ◽  
Public Attention ◽  
Preparation Methods ◽  
The Real ◽  
Simple Preparation ◽  
Scanning Electron

Recently with the increase in advanced age population, the osteoporosis becomes the object of public attention in the field of orthopedics. The surface topography of the bone by scanning electron microscopy (SEM) is one of the most useful means to study the bone metabolism, that is considered to make clear the mechanism of the osteoporosis. Until today many specimen preparation methods for SEM have been reported. They are roughly classified into two; the anorganic preparation and the simple preparation. The former is suitable for observing mineralization, but has the demerit that the real surface of the bone can not be observed and, moreover, the samples prepared by this method are extremely fragile especially in the case of osteoporosis. On the other hand, the latter has the merit that the real information of the bone surface can be obtained, though it is difficult to recognize the functional situation of the bone.

Personal Audio System: Hearing Symptoms, Habits, and Sound Pressure Levels Measured in Real Ear and a Manikin

2020 ◽  
Vol 63 (6) ◽  
pp. 2016-2026
Author(s):  
Tamara R. Almeida ◽  
Clayton H. Rocha ◽  
Camila M. Rabelo ◽  
Raquel F. Gomes ◽  
Ivone F. Neves-Lobo ◽  
...  
Keyword(s):  
Sound Pressure ◽  
Daily Basis ◽  
Cross Sectional Study ◽  
Normal Hearing ◽  
Chi Square ◽  
Cross Sectional ◽  
The Real ◽  
Significant Difference ◽  
Sound Pressure Levels ◽  
Audio System

Purpose The aims of this study were to characterize hearing symptoms, habits, and sound pressure levels (SPLs) of personal audio system (PAS) used by young adults; estimate the risk of developing hearing loss and assess whether instructions given to users led to behavioral changes; and propose recommendations for PAS users. Method A cross-sectional study was performed in 50 subjects with normal hearing. Procedures included questionnaire and measurement of PAS SPLs (real ear and manikin) through the users' own headphones and devices while they listened to four songs. After 1 year, 30 subjects answered questions about their usage habits. For the statistical analysis, one-way analysis of variance, Tukey's post hoc test, Lin and Spearman coefficients, the chi-square test, and logistic regression were used. Results Most subjects listened to music every day, usually in noisy environments. Sixty percent of the subjects reported hearing symptoms after using a PAS. Substantial variability in the equivalent music listening level (Leq) was noted ( M = 84.7 dBA; min = 65.1 dBA, max = 97.5 dBA). A significant difference was found only in the 4-kHz band when comparing the real-ear and manikin techniques. Based on the Leq, 38% of the individuals exceeded the maximum daily time allowance. Comparison of the subjects according to the maximum allowed daily exposure time revealed a higher number of hearing complaints from people with greater exposure. After 1 year, 43% of the subjects reduced their usage time, and 70% reduced the volume. A volume not exceeding 80% was recommended, and at this volume, the maximum usage time should be 160 min. Conclusions The habit of listening to music at high intensities on a daily basis seems to cause hearing symptoms, even in individuals with normal hearing. The real-ear and manikin techniques produced similar results. Providing instructions on this topic combined with measuring PAS SPLs may be an appropriate strategy for raising the awareness of people who are at risk. Supplemental Material https://doi.org/10.23641/asha.12431435

Current Issues: Evidence-Based Practice for the Real World: Thoughts on Clinical Education in Communication Disorders

2010 ◽  
Vol 20 (3) ◽  
pp. 100-105 ◽  
Author(s):  
Anne K. Bothe
Keyword(s):  
Clinical Education ◽  
Real World ◽  
Evidence Based Practice ◽  
Communication Disorders ◽  
University Faculty ◽  
Evidence Based ◽  
Speech Language Pathology ◽  
Basic Principles ◽  
The Real ◽  
Language Pathology

This article presents some streamlined and intentionally oversimplified ideas about educating future communication disorders professionals to use some of the most basic principles of evidence-based practice. Working from a popular five-step approach, modifications are suggested that may make the ideas more accessible, and therefore more useful, for university faculty, other supervisors, and future professionals in speech-language pathology, audiology, and related fields.

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