Jurisprudence

Bodenheimer, Edgar

doi:10.4159/harvard.9780674733107

Cited by 50 publications

(8 citation statements)

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“…As for differentially rotating poly tropes with N = 0, Bodenheimer and Ostriker 10 ) discussed the following. For a given value of N we can consider a sequence of equilibrium figures with different values of angular momentum.…”

Section: Discussionmentioning

confidence: 98%

Rapidly Rotating Polytropes and Concave Hamburger Equilibrium

Hachisu

Eriguchi

Sugimoto

1982

Progress of Theoretical Physics

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Rotating poly tropes have equilibrium figures of concave hamburger shape, which bifurcates from Maclaurin-spheroid-like figures and continues into toroids. However, two existing numerical computations of the concave hamburgers are quantitatively in contradiction to each other. Reasons for this contradiction are found to lie in the wrong treatments: One of their methods was applied for deformations too strong to be treated within its limit of applicability so that their boundary condition failed in its convergence of the series and in its analytic continuation into the complex plane.A modified method of numerical computation is developed which can not only avoid such problems but is still reasonably efficient. With this method we have recomputed sequences of rotating poly tropes. We have found the following. When the polytropic index N is greater than 0.02, the sequence of the Maclaurin-spheroid-like figures terminates by mass shedding from the equator. When N < 0.02, on the other hand, it continues into a sequence of the concave hamburgers. Contrary to the earlier computation, the Maclaurin spheroids are shown to be the limiting configuration to N = O. Some details are also discussed concerning the bifurcation to the concave hamburgers. § 1. Introduction 191 Ninety years ago, Dyson 1 ),2) obtained a sequence of toroidal figures for a rigidly rotating, self-gravitating, incompressible fluid by means of perturbation method. Recently W ong 3l computed numerically a sequence of toroid-like figures, which is an extension of Dyson's sequence to a region with relatively small angular momentum. Hereafter, we will call them the Dyson-Wong toroids (or the Dyson-Wong sequence).In astrophysical problems containing axisymmetric rotating celestial bodies, many authors quoted Maclaurin spheroids to compare their results with. Therefore, it is important to understand the relation between the Maclaurin sequence and the Dyson-Wong sequence. It is also important to understand the relation between the cases of incompressible and of compressible fluids. For these purposes Fukushima et a1. 4 ) made numerical computations of hydrostatic equilibrium solutions for rapidly and rigidly rotating poly tropes with very small compressibilities and they suggested the following. F1) The Maclaurin spheroid is a special solution and does not represent the limiting case of the rotating polyat

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Section: Discussionmentioning

confidence: 98%

Rapidly Rotating Polytropes and Concave Hamburger Equilibrium

Hachisu

Eriguchi

Sugimoto

1982

Progress of Theoretical Physics

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“…The ancient Greeks were possessed of 'an unusual degree of insight into natural and social phenomena' and inquired into a range of questions including those on the state, its origin and basis, and its relationship with other 'higher' or more fundamental standards, all of which remain relevant today, and it is for this reason that the views of the ancient Greeks are reverted to in studying a variety of subjects (Bodenheimer, 2006). The concept of human rights as understood in the present in terms of rights investing in persons by virtue of being human are often traced to the notions of natural law and natural rights, and many Greek philosophers, poets, and authors recognized the existence of such a natural law (distinct from human laws), though as will be discussed, the notions, while comparable, may not precisely correspond with later or present-day understandings.…”

Section: Morgan Journal Of Interdisciplinnary Research Studiesmentioning

confidence: 99%

“…In the ancient period, law and religion were almost inseparable and it was believed, as Homer felt, that law was communicated by the god Zeus to the heart of man (Bodenheimer, 2006). The Oracle at Delphi was resorted to both for the 'enunciation of the divine will' and matters pertaining to legislation (Ibid).…”

Section: Ancient Greek Societymentioning

confidence: 99%

“…that none can violate the laws of nature with impunity though one who violates the laws of man would go unpunished if the violation were not detected (Bodenheimer, 2006). Callicles, a Sophist and Thrasymachus believed that the right of the strong is a postulate of the law of nature and in acting in accord with it, one would be following the dictates of nature.…”

Section: Morgan Journal Of Interdisciplinnary Research Studiesmentioning

confidence: 99%

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Tracing the Roots of Modern Human Rights in Ancient Greek Thought

Ramachandran

2024

Morgan J. Interdisc. Res. Stud.

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The establishment of the modern human rights regime, a pivotal development that transpired in the aftermath of the Second World War, marks a watershed moment in the annals of global governance. However, it is imperative to recognize that the foundational bedrock upon which this regime stands embodied by concepts such as freedom, equality, the right to vote, and the notion of natural rights extends its roots far beyond the mid-20th century. These bedrock principles have an intricate lineage, manifesting in various forms throughout history and across diverse cultures. To unravel this historical continuum, one need not look solely to the post-World War II era; rather, a profound exploration reveals that analogous ideals have left indelible imprints across different countries and epochs. Among these cultural tapestries, ancient Greece emerges as a particularly rich and influential backdrop, offering a plethora of ideas that resonate with the very essence of contemporary human rights. In an earnest pursuit of understanding the intricate interplay between ancient wisdom and modern conceptions, the present paper embarks on an insightful examination. Through a meticulous study, it endeavors to illuminate the myriad ideas and features that emanated from ancient Greece, serving as pre-cursors to, and reflections of, the multifaceted concept of human rights as it is comprehended and cherished in our present-day global discourse.

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“…The natural law idea of "natural rights" makes the protection of human rights after its influence deeply buried in the foundation of Western rule of law thought, and it can also be said that rights are the figurative content of justice. The natural law scholar Locke's idea that life, liberty and property are natural and inalienable rights, combined with Montesquieu's theory of the separation of powers, formed the philosophical foundation of the American political system [20]. The United Kingdom and France also elaborated on the guarantee of human rights in the Bill of Rights and the Declaration of Human and Civil Rights, respectively.…”

Section: ) Western Rule Of Law Theorymentioning

confidence: 99%

On Building a Law-based Socialist Culture with Chinese Characteristics: Foundation and Mission

2023

JSSH

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In the reports of the 19th National Congress of the Communist Party of China, the proposition of "building a socialist culture of rule of law" was explicitly put forward, signifying that the construction of the rule of law in China has stepped up to a higher level of development. In order to build this proposition, it is necessary to start from a systematic construction, with some basic theoretical issues still to be further clarified. In this paper, an attempt is made to start from the connotation and extension of law-based culture. By sorting out the existing resources of law-based culture construction and the current situation of rule of law development, the theoretical and practical basis of law-based culture under the context of "socialism with Chinese characteristics" is clarified. Based on the process of building socialism with Chinese characteristics, this paper explains the mission of building the law-based socialist culture with Chinese characteristics.

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Jurisprudence

Cited by 50 publications

References 0 publications

Rapidly Rotating Polytropes and Concave Hamburger Equilibrium

Rapidly Rotating Polytropes and Concave Hamburger Equilibrium

Tracing the Roots of Modern Human Rights in Ancient Greek Thought

On Building a Law-based Socialist Culture with Chinese Characteristics: Foundation and Mission

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