scholarly journals Origin of Irrational Numbers and Their Approximations

Computation ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 29
Author(s):  
Ravi P. Agarwal ◽  
Hans Agarwal
Keyword(s):  
Rational Numbers ◽  
Irrational Numbers ◽  
Starting Point ◽  
The World ◽  
Sincere Effort

In this article a sincere effort has been made to address the origin of the incommensurability/irrationality of numbers. It is folklore that the starting point was several unsuccessful geometric attempts to compute the exact values of 2 and π. Ancient records substantiate that more than 5000 years back Vedic Ascetics were successful in approximating these numbers in terms of rational numbers and used these approximations for ritual sacrifices, they also indicated clearly that these numbers are incommensurable. Since then research continues for the known as well as unknown/expected irrational numbers, and their computation to trillions of decimal places. For the advancement of this broad mathematical field we shall chronologically show that each continent of the world has contributed. We genuinely hope students and teachers of mathematics will also be benefited with this article.

Dreams Give Birth to Reality”. Engraving Austroseraphicum Coelum as an Attempt to Create a New Reality by the Spanish Habsburgs Dynastic Propaganda / Sny rodzą rzeczywistość…”. Grafika Austroseraphicum Coelum jako próba kreowania nowej rzeczywistości za pomocą propagandy dynastycznej Habsburgów hiszpańskich

2014 ◽  
Vol 39 (1) ◽  
Author(s):  
Jan Kurowiak
Keyword(s):  
Seventeenth Century ◽  
The Netherlands ◽  
General Condition ◽  
Symbolic System ◽  
Political Situation ◽  
Mission Of God ◽  
Starting Point ◽  
The World ◽  
The Church

AbstractAs a work of propaganda, graphics Austroseraphicum Coelum Paulus Pontius should create a new reality, make appearances. The main impression while seeing the graphics is the admiration for the power of Habsburgs, which interacts with the power of the Mother of God. She, in turn, refers the viewer to God, as well as Franciscans placed on the graphic, they become a symbol of the Church. This is a starting point for further interpretation of the drawing. By the presence of certain characters, allegories, symbols, we can see references to a particular political situation in the Netherlands - the war with the northern provinces of Spain. The message of the graphic is: the Spanish Habsburgs, commissioned by the mission of God, they are able to fight all of the enemies, especially Protestants, with the help of Immaculate and the Franciscans. The main aim of the graphic is to convince the viewer that this will happen and to create in his mind a vision of the new reality. But Spain was in the seventeenth century nothing but a shadow of former itself (in the time of Philip IV the general condition of Spain get worse). That was the reason why they wanted to hold the belief that the empire continues unwavering. The form of this work (graphics), also allowed to export them around the world, and the ambiguity of the symbolic system, its contents relate to different contexts, and as a result, the Habsburgs, not only Spanish, they could promote their strength everywhere. Therefore it was used very well as a single work of propaganda, as well as a part of a broader campaign

The Paradox of “A High Standard of Public Honesty”

2017 ◽  
Author(s):  
James Kennedy ◽  
Ronald Kroeze
Keyword(s):  
The Netherlands ◽  
Early Modern ◽  
Side Effect ◽  
High Standard ◽  
Dutch Republic ◽  
Liberal Politics ◽  
Patronage Politics ◽  
Starting Point ◽  
The World ◽  
Late Nineteenth

This chapter takes as its starting point the contemporary idea that the Netherlands is one of the least corrupt countries in the world; an idea that it dates back to the late-nineteenth and early-twentieth centuries. In this chapter, the authors explain how corruption was controlled in the Netherlands against the background of the rise and fall of the Dutch Republic, modern statebuilding and liberal politics. However, the Dutch case also presents some complexities: first, the decrease in some forms of corruption was due not to early democratization or bureaucratization, but was rather a side-effect of elite patronage-politics; second, although some early modern forms of corruption disappeared around this period, new forms have emerged in more recent times.

scholarly journals Contracting in land and natural resources: a tale of exclusion

2021 ◽  
Vol 17 (1) ◽  
pp. 145-153
Author(s):  
Federica Violi
Keyword(s):  
Natural Resources ◽  
Large Scale ◽  
Sustainable Development Goals ◽  
Host Countries ◽  
Developmental Needs ◽  
Starting Point ◽  
The World ◽  
Development Goals ◽  
Short Essay ◽  
Public Environment

By browsing the website of Land Matrix, one can measure the extent of land-related large-scale investments in natural resources (LRINRs) and place it on the world map. At the time of writing, the extent of these investments covers an area equal to the surfaces of Spain and Portugal together – or, for football fans, around 60 million football pitches. These investment operations have often been saluted as instrumental to achieve the developmental needs of host countries and as the necessary private counterpart to state (and interstate) efforts aimed at (sustainable) development goals. Yet, the realities on the ground offer a scenario characterised by severe instances of displacement of indigenous or local communities and environmental disruptions. The starting point of this short essay is that these ‘externalities’ are generated through the legal construct enabling the implementation of these investment operations. As such, this contribution lies neatly in the line of research set forth in the excellent books of Kinnari Bhatt and Jennifer Lander, from the perspective of both the development culture shaping these investment operations and the private–public environment in which these are situated. The essay tries and dialogues with both components, while focusing at a metalevel on the theoretical shifts potentially geared to turn a ‘tale of exclusion’ into a ‘tale of inclusion’.

On properties of seawater defined by temperature, salinity, and pressure

2021 ◽  
Vol 79 (3) ◽  
pp. 121-147
Author(s):  
George Veronis
Keyword(s):  
Vertical Direction ◽  
Great Depth ◽  
Local Potential ◽  
Potential Density ◽  
Marine Research ◽  
Station Data ◽  
Starting Point ◽  
The World ◽  
Gravitational Stability

Hydrographic station data, consisting principally of temperature and salinity determinations, have been used by physical oceanographers to develop a climatological picture of the distribution of these quantities in the oceans of the world. Density as determined by Knudsen's formula, taken together with hydrostatic and geostrophic dynamics, also provides a crude picture of oceanic flow. However, the data probably contain substantially more information than has been derived from them in the past.The quantity that is orthogonal to potential-density curves in the S plane is suggested as a useful variable to complement the information contained in potential density. The derivation of this quantity, denoted by τ in this paper, is straightforward. A polynomial expression for τ that is suitable for computer calculations of τ from hydrographic station data is given. Shown are examples of hydrographic station data from the Atlantic plotted on the τσ diagram. The information contained in the τσ diagram shows many of the features exhibited in the TS plane. Vertical sections of τ appear to provide information about mixing in different parts of the Atlantic. The distribution of τ for abyssal waters at selected stations in the oceans of the world resembles the distribution of abyssal density as plotted by Lynn and Reid (1968). From the data presented, it appears that τ may serve as a good tracer for abyssal water movements.Since τ is defined to be orthogonal to σ, the expectation is that τ is a dynamically passive variable. However, since σ does not correlate with abyssal densities, it appears to lose dynamical significance at great depth, and τ assumes dynamical significance because of its orthogonality to σ. This unexpected feature leads to an exploration of the dynamical significance of σ. A natural starting point is the question of stability of abyssal water.A distinction is made between stability as determined by in situ determinations and as determined by the potential-density (σ) distribution. Simple examples are presented to show that analysis based on σ alone can lead to incorrect conclusions about gravitational stability of the water in the abyssal ocean. The reason is that seawater is a multicomponent thermodynamic system, and the thermodynamic coefficients are functions of pressure, salinity, and temperature. This functional dependence leads to adjustments in density as a water particle moves adiabatically in the vertical direction so that a layer of water that appears to be unstable near the surface may be stable (as determined by in situ determination) at great depth. A local potential density, which is simply the vertical integral of the in situ stability, is derived. This quantity gives a precise picture of gravitational stability in the vertical direction. Some distributions of local potential density are shown.Originally published May 15, 1972, in the Journal of Marine Research 30(2), 227???255.

The Strait of Magellan—a Gateway to New Worlds

2021 ◽  
Author(s):  
Mauricio Onetto Pavez
Keyword(s):  
Global Scale ◽  
Modern World ◽  
American Continent ◽  
The Earth ◽  
Starting Point ◽  
Strait Of Magellan ◽  
The World ◽  
The Strait Of Magellan ◽  
History Of ◽  
First Time

The year 2020 marks the five hundredth anniversary of the “discovery” of the Strait of Magellan. The unveiling of this passage between 1519 and 1522 allowed the planet to be circumnavigated for the first time in the history of humanity. All maritime routes could now be connected, and the idea of the Earth, in its geographical, cosmographic, and philosophical dimensions, gained its definitive meaning. This discovery can be considered one of the founding events of the modern world and of the process of globalization that still continues today. This new connectivity awoke an immediate interest in Europe that led to the emergence of a political consciousness of possession, domination, and territorial occupation generalized on a global scale, and the American continent was the starting point for this. This consciousness also inspired a desire for knowledge about this new form of inhabiting the world. Various fields of knowledge were redefined thanks to the new spaces and measurements produced by the discovery of the southern part of the Americas, which was recorded in books on cosmography, natural history, cartography, and manuscripts, circulating mainly between the Americas and Europe. All these processes transformed the Strait of Magellan into a geopolitical space coveted by Europeans during the 16th century. As an interoceanic connector, it was used to imagine commercial routes to the Orient and political projects that could sustain these dynamics. It was also conceived as a space to speculate on the potential wealth in the extreme south of the continent. In addition, on the Spanish side, some agents of the Crown considered it a strategic place for imperial projections and the defense of the Americas.

Leviathan on a Leash

2020 ◽  
Author(s):  
Sean Fleming
Keyword(s):  
International Relations ◽  
Political Thought ◽  
Sovereign Debt ◽  
New Technologies ◽  
Thomas Hobbes ◽  
The State ◽  
State Responsibility ◽  
Modern Politics ◽  
Starting Point ◽  
The World

States are commonly blamed for wars, called on to apologize, held liable for debts and reparations, bound by treaties, and punished with sanctions. But what does it mean to hold a state responsible as opposed to a government, a nation, or an individual leader? Under what circumstances should we assign responsibility to states rather than individuals? This book demystifies the phenomenon of state responsibility and explains why it is a challenging yet indispensable part of modern politics. Taking Thomas Hobbes' theory of the state as a starting point, the book presents a theory of state responsibility that sheds new light on sovereign debt, historical reparations, treaty obligations, and economic sanctions. Along the way, it overturns longstanding interpretations of Hobbes' political thought, explores how new technologies will alter the practice of state responsibility as we know it, and develops new accounts of political authority, representation, and legitimacy. The book argues that Hobbes' idea of the state offers a far richer and more realistic conception of state responsibility than the theories prevalent today and demonstrates that Hobbes' Leviathan is much more than an anthropomorphic “artificial man.” The book is essential reading for political theorists, scholars of international relations, international lawyers, and philosophers. It recovers a forgotten understanding of state personality in Hobbes' thought and shows how to apply it to the world of imperfect states in which we live.

“Ọrọ, nwa, ẹkọ”, the talk, the look, the education: reflections on a pedagogy of cosmoperception

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Roseane Santos Mesquita ◽  
Késia Dos Anjos Rocha
Keyword(s):  
Educational Experience ◽  
The Other ◽  
Educational Practices ◽  
Starting Point ◽  
The World ◽  
The Look ◽  
Ways Of Being ◽  
Present Text ◽  
The Way

The present text bets on the power of reflections on a pedagogy guided by cosmoperception. It is a collective call for the enchanted ways of perceiving and relating to the other. “Ọrọ, nwa, ẹkọ”, the talk, the look, the education, insurgent forces that grow in the cracks, just like moss, alive, reborn. That is the way we think about education, as a living practice, turned to freedom. Freedom understood as a force that enables us to question certain hegemonic truths entrenched in our ways of being, thinking and producing knowledge. In dialogue with the criticisms on the decolonial thought and by authors and authoresses who are putting themselves into thinking about an epistemology from a diasporic place, from the edges of the world, we will try to problematize the effects of the epistemic erasures promoted by the colonial processes and how that has affected our educative practices. The look at the educational experience that happens in the sacred territory of candomblé, will be our starting point to think about politically and poetically transformative educational practices.

Democratization in Unlikely Places: Comparative Lessons from the Latin American Experience

2018 ◽  
Vol 10 (3) ◽  
pp. 402-419
Author(s):  
Kenneth M. Roberts
Keyword(s):  
Latin American ◽  
Economic Prosperity ◽  
American Experience ◽  
Democratic Regimes ◽  
Starting Point ◽  
The World ◽  
Political Consensus

The Latin American experience at the end of the 20th century demonstrates that democratic regimes can be established and stabilized in “unlikely” places that would not appear to have the requisite “preconditions” for democracy as conventionally theorized. The region may thus provide insights into the prospects for democracy in other parts of the world, such as the MENA region, that also lack the traditional correlates of democracy. An understanding of democracy’s institutional roots in deep societal conflicts, rather than political consensus, civic cultures, or economic prosperity, is an essential starting point for such cross-regional perspectives.

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