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

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.

The Equality of Women: The Bahá’í Principle of Complementarity

1990 ◽  
Vol 2 (3) ◽  
pp. 55-66
Author(s):  
John S. Hatcher
Keyword(s):  
Careful Consideration ◽  
Careful Study ◽  
Men And Women ◽  
Complementary Relationship ◽  
Baha'i Faith ◽  
Religious Convictions ◽  
Role Of Women ◽  
Principle Of Complementarity

The Bahá’í teachings simultaneously assert the equality of men and women while advocating in some cases distinct duties according to gender. Since the Bahá’í Faith also teaches that religious convictions should be examined by the “standards of science,” this ostensible paradox invites careful study. At the heart of the response to this query is the Universal House of Justice statement that “equality between men and women does not, indeed physiologically it cannot, mean identity of functions.” To appreciate and to accept this thesis that there can be gender distinction, even insofar as the assignment of fundamental tasks is concerned, without any attendant diminution in the role of women, we must turn to statements in the Bahá’í writings about the complementary relationship between men and women. Through a careful consideration of this principle, we can discover how there can indeed be gender distinction without inequality in status or function.

La lettre et la figure dans Calligrammes de Guillaume Apollinaire

2015 ◽  
pp. 109-118
Author(s):  
Moucherif Abdelhakim
Keyword(s):  
Complementary Relationship ◽  
Guillaume Apollinaire ◽  
Semiotic Systems ◽  
Poetic Text

This article is devoted to Guillaume Apollinaire original poetic experience’s who tried to found a synthetic art combining heterogeneous semiotic systems such as painting and poetry. We propose, then, to study the various complementary relationship, polysemy or counterpoint established between the letters, poetic text and pictorial images.

Data visualization quality in a geographic information system using golden ratio properties

2018 ◽  
pp. 46-57
Author(s):  
A. V. Voronin ◽  
G. N. Maltsev ◽  
M. Yu. Sokhen
Keyword(s):  
Information System ◽  
Geographic Information System ◽  
Data Visualization ◽  
Golden Ratio ◽  
Quality Criterion ◽  
Geographic Information ◽  
Control Device ◽  
Video Data ◽  
Geoinformation Systems ◽  
System Operator

Introduction:Data visualization quality is important for the work of a geographic information system operator, determining the conditions under which he or she makes decisions concerning the displayed data. Visual perception patterns associated with the golden ratio properties allow us to formulate a criterion for data visualization quality which would characterize the possibilities of the operator’s complex perception of the video data displayed on a control device screen in the form of an electronic card.Purpose:Substantiation of a data visualization quality criterion for geoinformation systems using the golden ratio properties, and the study of the conditions for providing good visualization quality for geodata and metadata on a video control device screen in accordance with the proposed criterion.Methods:A formal definition of the data visualization quality criterion in geoinformation systems using the coefficient of the screen area information coverage as an index whose optimal value corresponds to the mathematical definition of the golden ratio; and the study of the properties of this criterion. Results: Based on the conducted analysis of visual perception of video data and golden ratio properties during the data visualization, a criterion is proposed for data visualization quality, which uses the golden ratio properties and characterizes the possibilities of complex perception of video data in an electronic map form by a geographic information system operator. Iteration algorithms for choosing the video data display scale are developed, based on the visualization quality criterion and related to the golden ratio properties. These are the basic algorithm used for each geodata layer represented on the electronicmap, and an algorithm of successive analysis of various layers of the displayed geodata. The choice of a video data display scale in accordance with the developed algorithms can be preliminarily carried out by the system operator using the parameters of standard electronic maps and geodata/metadata sets typical for the current applied problem. We have studied how the scale of the geodata and metadata displayed on an electronic map affects their visualization quality on screens of various sizes. For the considered standard volumes of displayed geodata and metadata, the best visualization quality was achieved when they were displayed on a standard computer monitor, as opposed to a portable notebook or visualization screen.Practical relevance:The proposed criterion and the recommendations for choosing a screen size for the video monitoring device or the structures of the displayed geo-objects and metadata can be used in the design of geoinformation systems, or for preliminary choice of the displayed data structure by a geoinformation system operator.

The Relationship between Human Development and Economic Growth

2018 ◽  
Author(s):  
Frances Stewart ◽  
Gustav Ranis ◽  
Emma Samman
Keyword(s):  
Economic Growth ◽  
Human Development ◽  
Human Development Index ◽  
Econometric Analysis ◽  
Complementary Relationship ◽  
Development Index ◽  
The Relationship ◽  
Intervening Variables

This chapter explores the interactions between economic growth and human development, as measured by the Human Development Index, theoretically and empirically. Drawing on many studies it explores the links in two chains, from economic growth to human development, and from human development to growth. Econometric analysis establishes strong links between economic growth and human development, and intervening variables influencing the strength of the chains. Because of the complementary relationship, putting emphasis on economic growth alone is not a long-term viable strategy, as growth is likely to be impeded by failure on human development. The chapter classifies country performance in four ways: virtuous cycles where both growth and human development are successful; vicious cycles where both are weak; and lopsided ones where the economy is strong but human development is weak, or conversely ones where human development is strong but the economy is weak.

Cognitive metaphor theories in translation studies: Toward a dual-model parametric approach

2021 ◽  
Vol 18 (1) ◽  
pp. 25-52
Author(s):  
Sui He
Keyword(s):  
Translation Studies ◽  
Analytical Framework ◽  
Future Research ◽  
Dual Model ◽  
Conceptual Blending ◽  
Parametric Approach ◽  
Complementary Relationship ◽  
Cognitive Metaphor ◽  
Metaphor Theory ◽  
Two Parameters

Abstract Cognitive metaphor theory provides a systematic framework to better understand the working mechanism of metaphor. Its recent development further allows translation researchers to have a clearer insight into the movement of metaphor across languages and culture. Building on an empirical study, this paper examines the complementary relationship between two prominent cognitive metaphor theories – Conceptual Metaphor Theory (CMT) and Conceptual Blending Theory (CBT), and discusses the practical contribution that this relationship could make to the existing research on metaphor translation. To construct a comparable basis for CMT and CBT, two parameters are adopted for data analysis, which is proven useful to serve the purpose. The two chosen parameters are: projection and provenance, denoting the content and the type of metaphor respectively. Metaphorical expressions analyzed in this paper are sourced from cosmology-themed articles published in Scientific American in 2017 and their Simplified Chinese translations published in Huanqiukexue. Findings show that delineated by the two parameters, CMT and CBT indeed share a complementary relationship owing to their different focuses and organizing mechanisms. Furthermore, the collaboration between CMT and CBT offers a well-rounded analytical framework for translation studies. In turn, the correlation between metaphor parameters and translation solutions provides detailed clues for studying metaphor across culture. Finally, the reflection of this dual-model parametric approach regarding its pros and cons is also shown to shed light on future research.

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