scholarly journals Waldron on the 'Basic Equality' of Hitler and Schweitzer: A Brief Refutation

2019 ◽  
Author(s):  
Uwe Steinhoff
Keyword(s):  
Basic Equality

scholarly journals Examples and classification of Riemannian submersions satisfying a basic equality

2005 ◽  
Vol 72 (3) ◽  
pp. 391-402 ◽  
Author(s):  
Bang-Yen Chen
Keyword(s):  
Riemannian Manifold ◽  
Unit Sphere ◽  
Isometric Immersion ◽  
Riemannian Submersion ◽  
Sharp Inequality ◽  
Riemannian Submersions ◽  
Equality Case ◽  
Totally Geodesic ◽  
Basic Equality

In an earlier article we obtain a sharp inequality for an arbitrary isometric immersion from a Riemannian manifold admitting a Riemannian submersion with totally geodesic fibres into a unit sphere. In this article we investigate the immersions which satisfy the equality case of the inequality. As a by-product, we discover a new characterisation of Cartan hypersurface in S4.

The Human Right to Health and Access to Essential Medicines

2020 ◽  
pp. 13-35
Author(s):  
Nicole Hassoun
Keyword(s):  
Good Life ◽  
Right To Health ◽  
Essential Medicines ◽  
Human Right ◽  
Basic Equality ◽  
Access To Essential Medicines ◽  
The Right ◽  
Complete Account

Living with untreated AIDS is devastating. Patients often suffer from terrible lesions, pneumonia, and nausea; become emaciated; have seizures; and eventually die. The first chapter argues that there should be an enforceable legal human right to health that includes a right to access essential medicines to treat diseases like AIDS. The chapter does not provide a complete account of the right’s basis; the right may also have to protect our basic equality and dignity, for instance. Nevertheless, it argues that health is necessary for, and partly constitutive of, a minimally good life. Lack of access to essential medicines characteristically undermines individuals’ ability to live such lives. So people should have a human right to health that grounds rights to access essential medicines.

scholarly journals Rescuing Basic Equality

2019 ◽  
Vol 100 (3) ◽  
pp. 837-857 ◽  
Author(s):  
Tom Parr ◽  
Adam Slavny
Keyword(s):  
Basic Equality

Discriminant as a product of local discriminants

2017 ◽  
Vol 16 (10) ◽  
pp. 1750198 ◽  
Author(s):  
Anuj Jakhar ◽  
Bablesh Jhorar ◽  
Sudesh K. Khanduja ◽  
Neeraj Sangwan
Keyword(s):  
Maximal Ideal ◽  
Valuation Ring ◽  
Approximation Theorem ◽  
Discrete Valuation Ring ◽  
Integral Closure ◽  
Weak Approximation ◽  
Separable Extension ◽  
Ideal Formula ◽  
Valuation Rings ◽  
Basic Equality

Let [Formula: see text] be a discrete valuation ring with maximal ideal [Formula: see text] and [Formula: see text] be the integral closure of [Formula: see text] in a finite separable extension [Formula: see text] of [Formula: see text]. For a maximal ideal [Formula: see text] of [Formula: see text], let [Formula: see text] denote respectively the valuation rings of the completions of [Formula: see text] with respect to [Formula: see text]. The discriminant satisfies a basic equality which says that [Formula: see text]. In this paper, we extend the above equality on replacing [Formula: see text] by the valuation ring of a Krull valuation of arbitrary rank and completion by henselization. In the course of proof, we prove a generalization of the well-known weak Approximation Theorem which is of independent interest as well.

Lagrangian submanifolds satisfying a basic equality

1996 ◽  
Vol 120 (2) ◽  
pp. 291-307 ◽  
Author(s):  
Bang-Yen Chen ◽  
Luc Vrancken
Keyword(s):  
Isometric Immersion ◽  
Mean Curvature ◽  
Complex Space ◽  
Space Form ◽  
Lagrangian Submanifolds ◽  
Lagrangian Submanifold ◽  
Isometric Immersions ◽  
Equality Case ◽  
Basic Equality ◽  
Image Position

AbstractIn [3], B. Y. Chen proved that, for any Lagrangian submanifold M in a complex space-form Mn(4c) (c = ± 1), the squared mean curvature and the scalar curvature of M satisfy the following inequality:He then introduced three families of Riemannian n-manifolds and two exceptional n-spaces Fn, Ln and proved the existence of a Lagrangian isometric immersion pa from into ℂPn(4) and the existence of Lagrangian isometric immersions f, l, ca, da from Fn, Ln, , into ℂHn(− 4), respectively, which satisfy the equality case of the inequality. He also proved that, beside the totally geodesie ones, these are the only Lagrangian submanifolds in ℂPn(4) and in ℂHn(− 4) which satisfy this basic equality. In this article, we obtain the explicit expressions of these Lagrangian immersions. As an application, we obtain new Lagrangian immersions of the topological n-sphere into ℂPn(4) and ℂHn(−4).

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