ON THE ALEKSANDROV–RASSIAS PROBLEM OF DISTANCE PRESERVING MAPPINGS

2015 ◽  
Vol 91 (3) ◽  
pp. 464-470
Author(s):  
SHUMING WANG ◽  
WEIYUN REN
Keyword(s):  
Important Case ◽  
Distance Preserving Mappings

In this paper, we introduce the concept of a semi-parallelogram and obtain some results for the Aleksandrov–Rassias problem using this concept. In particular, we resolve an important case of this problem for mappings preserving two distances with a nonintegral ratio.

Dual systems for all: Higher-order, role-based relational reasoning as a uniquely derived feature of human cognition

2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic
Keyword(s):  
Temporal Reasoning ◽  
Higher Order ◽  
Important Case ◽  
Human Cognition ◽  
Relational Reasoning ◽  
Dual Systems ◽  
First Order ◽  
Reasoning System ◽  
Role Based

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.

scholarly journals Ethnicity, Exclusion, and Exams: Education Policy and Politics in Burundi from the Independent Republics to the Civil War (1966–1993)

2021 ◽  
pp. 000203972110235
Author(s):  
Emily Dunlop
Keyword(s):  
Education Policy ◽  
Political Institutions ◽  
Important Case ◽  
Potential Mechanism ◽  
Social Hierarchies ◽  
Ethnic Inequalities ◽  
Policy Goals ◽  
Inequality In Education ◽  
Perceptions Of Inequality ◽  
Ethnicity And Politics

Education policy can embed ethnic inequalities in a country. Education in Burundi, with its historically exclusive political institutions and education, represents an important case for understanding these interactions. In this article, I interview twelve Burundians about how they experienced and perceived ethnicity and politics in their schooling from 1966 to 1993. I argue that education contributed to tangible and perceived social hierarchies based on ethnic inequalities. I show that this exclusion reflected both overt and covert policy goals, through proxies used to identify ethnicity in schools and through the exclusive nature of national exams at the time, which promoted members of the Tutsi minority at the expense of the majority Hutus. This study has implications for understanding how perceptions of inequality in education manifest as grievances against the state. It sheds light on the importance of understanding covert education policy as a potential mechanism for generating exclusion and contributing to conflict.

Partial Higher-Order Specifications1

1992 ◽  
Vol 16 (2) ◽  
pp. 101-126
Author(s):  
Egidio Astesiano ◽  
Maura Cerioli
Keyword(s):  
Sufficient Conditions ◽  
Higher Order ◽  
Necessary And Sufficient Conditions ◽  
Important Case ◽  
Deduction System ◽  
Closure Properties ◽  
Inference System ◽  
Conditional Specification ◽  
Necessary And Sufficient

In this paper the classes of extensional models of higher-order partial conditional specifications are studied, with the emphasis on the closure properties of these classes. Further it is shown that any equationally complete inference system for partial conditional specifications may be extended to an inference system for partial higher-order conditional specifications, which is equationally complete w.r.t. the class of all extensional models. Then, applying some previous results, a deduction system is proposed, equationally complete for the class of extensional models of a partial conditional specification. Finally, turning the attention to the special important case of termextensional models, it is first shown a sound and equationally complete inference system and then necessary and sufficient conditions are given for the existence of free models, which are also free in the class of term-generated extensional models.

Ireland’s Deliberative Mini-Publics

2021 ◽  
pp. 626-644
Author(s):  
David M. Farrell ◽  
Jane Suiter ◽  
Clodagh Harris ◽  
Kevin Cunningham
Keyword(s):  
Political Science ◽  
Real World ◽  
Important Case ◽  
Democratic Legitimacy ◽  
Deliberative Process ◽  
Recruitment Process

Democratic crisis is a hot topic in political science at present, and for understandable reasons. But what is often missed in much of the commentary about democracies in peril is the fact that democracies can and do innovate. This chapter deals with one important case of such democratic innovation—the Irish deliberative mini-publics. We start with a discussion of the origins and design of the Irish cases. We then employ the Suiter and Reuchamps (2016) framework to analyse their democratic legitimacy in terms of input (the recruitment process), throughput, (the quality of the deliberative process), and output (the mini-public’s impact in terms of the uptake of its recommendations and acceptance of the process). The Irish processes are powerful real-world examples of the potential systemization of deliberation, showing how deliberative mini-publics can successfully supplement representative and direct forms of democracy.

The duties of impartiality, disclosure, and confidentiality: lessons from a London-seated arbitration

2021 ◽  
Author(s):  
Samuel Yee Ching Leung ◽  
Alex Chun Hei Chan
Keyword(s):  
United Kingdom ◽  
Important Case ◽  
Careful Examination ◽  
International Arbitration ◽  
The United Kingdom ◽  
Key Concepts ◽  
The Uk ◽  
First Time

Abstract Halliburton Company v Chubb Bermuda Insurance Ltd (formerly known as Ace Bermuda Insurance Ltd [2020] UKSC 48 is an important case not only to the UK but also to the international arbitration community for several reasons: first, it examines indispensable duties in international arbitration and for the first time recognises and explicates upon the duty of disclosure at the highest court of the United Kingdom; secondly, it addresses and clarifies key concepts in international arbitration; thirdly, it confirms the objective nature of the test of justifiable doubts which has wider implications for other arbitral forums; fourthly, it illustrates how the duties of impartiality, disclosure, and confidentiality interact with and affect each other and how the key concepts should be applied to this interaction; and finally, it lays down useful guidance for arbitrators. For these reasons, this case deserves close and careful examination. This article aims to explain the significance of the aforesaid and suggests that, in addition to what has been addressed, further judicial explanations are warranted in what other aspects.

Comedy and the Performative Politics of Brexit

2021 ◽  
pp. 652-664
Author(s):  
James Brassett
Keyword(s):  
The Other ◽  
Important Case ◽  
Other Hand ◽  
Political Consensus ◽  
Everyday Resistance ◽  
Sociological Approaches

The chapter engages the outpouring of Brexit comedy as an important case study of the politics of humor. On one hand, the literature on comedy and politics has identified the subversive potential of jokes as a form of everyday resistance. On the other hand, sociological approaches have emphasized the role of stereotype and humiliation in jokes as part of a disciplinary function of humor. Building on these insights, the chapter reads prominent debates within comedy about Brexit as a vernacular form of politics. Jokes and satire perform and reperform discourses of identity. The chapter argues we should rephrase “Brexit comedy” or “the comedy of Brexit” as a socially consequential practice that teases at the (changing) social and political consensus.

Sir James Hannen on Testamentary Capacity

1873 ◽  
Vol 19 (86) ◽  
pp. 232-247
Keyword(s):  
Important Case ◽  
General Question ◽  
Testamentary Capacity

An important case—“Boughton v. Knight”—in which a will was opposed on the ground of the testator's insanity, has recently occupied the Court of Probate for fourteen days. Without entering into the details of so long a case, we print the summing up of Sir James Hannen, so far as it bears upon the general question of testamentary capacity. After a few introductory remarks, he proceeded as follows:—

Using Graphs for the Analysis and Construction of Permutation Distance-Preserving Mappings

2008 ◽  
Vol 54 (2) ◽  
pp. 910-916 ◽  
Author(s):  
Theo G. Swart ◽  
Hendrik C. Ferreira ◽  
Khmaies Ouahada
Keyword(s):  
Distance Preserving Mappings

A Hero to Be Remembered:EbonyMagazine, Critical Memory and the “Real Meaning” of the King Holiday

2016 ◽  
Vol 52 (2) ◽  
pp. 503-527
Author(s):  
E. JAMES WEST
Keyword(s):  
Ronald Reagan ◽  
Important Case ◽  
Living History ◽  
Black America ◽  
Senior Editor ◽  
History Of ◽  
Color Blind ◽  
Martin Luther King

This article explores the role ofEbonymagazine as a key staging ground for competing political and ideological debates over Martin Luther King Jr's legacy, and the struggle for a national holiday in his name. In doing so, it provides an important case study into the contestations between what Houston Baker has described as “black critical memory” and “black conservative nostalgia.” In response to attempts by Ronald Reagan and other politicians to reimagine King as an advocate for color-blind conservatism,Ebony’s senior editor, Lerone Bennett Jr., sought to situate King's legacy within a radical “living history” of black America. However, the magazine's broader coverage of the King holiday movement betrayed underlying tensions within its discussion of King's legacy, and fed into the magazine's role as an inadvertent frame for color-blind ideologies during the 1980s.

GLOBAL REGULARITY FOR YANG–MILLS FIELDS IN R1+5

2010 ◽  
Vol 07 (03) ◽  
pp. 433-470 ◽  
Author(s):  
ATANAS STEFANOV
Keyword(s):  
Model Equation ◽  
Global Regularity ◽  
Gauge Condition ◽  
Coulomb Gauge ◽  
Important Case ◽  
Small Data ◽  
Yang Mills

We show global persistence of solutions with small data for the model equation □u = u⋅∇u + u3, on R 1+d, d ≥ 5, subject to the Coulomb gauge condition [Formula: see text]. In particular, this covers the important case of the Yang–Mills problem.

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