scholarly journals A Rarity in Geometry

KoG ◽  
2021 ◽  
pp. 25-39
Author(s):  
Boris Odehnal

We study the locus C of all points in the plane whose pedal points on the six sides of a complete quadrangle lie on a conic. In the Euclidean plane, it turns out that C is an algebraic curve of degree 7 and genus 5 and not of degree 12 as it could be expected. Septic curves occur rather seldom in geometry which motivates a detailed study of this particular curve. We look at its singularities, focal points, and those points on C whose pedal conics degenerate. Then, we show that the septic curve occurs as the locus curve for a more general question. Further, we describe those cases where C degenerates or is of degree less than 7 depending on the shape of the initial quadrilateral

2019 ◽  
Author(s):  
Daryl Cameron ◽  
Michael Inzlicht

Empathy in medical care has been one of the focal points in the debate over the bright and dark sides of empathy. Whereas physician empathy is sometimes considered necessary for better physician-patient interactions, and is often desired by patients, it also has been described as a potential risk for exhaustion among physicians who must cope with their professional demands of confronting acute and chronic suffering. The present study compared physicians against demographically matched non-physicians on a novel behavioral assessment of empathy, in which they choose between empathizing or remaining detached from suffering targets over a series of trials. Results revealed no statistical differences between physicians and non-physicians in their empathy avoidance, though physicians were descriptively more likely to choose empathy. Additionally, both groups were likely to perceive empathy as cognitively challenging, and perceived cognitive costs of empathy associated with empathy avoidance. Across groups, there were also no statistically significant differences in self-reported trait empathy measures and empathy-related motivations and beliefs. Overall, these results suggest that physicians and non-physicians were more similar than different in terms of their empathic choices and in their assessments of the costs and benefits of empathy for others.


Author(s):  
Daniele Miano

This chapter studies all the public temples of Fortuna at Rome in the Republican period. The main focal points of the chapter are the precise historical circumstances for the vow, construction, and dedication of each temple, and the connection between these circumstances and the epithets attributed to the goddess. One of the main points made by this chapter is that there is a very solid connection between Republican temples of Fortuna and the plebeian aristocracy, which suggests that Fortuna was characterized as a deity closely associated with the plebs. Another point concerns Fortuna Publica, a deity that during the Roman conquest of the Greek East was associated with Roman imperialism through her translation as Tyche, following a debate on the merits of Roman conquest of which we can read traces in Polybius.


Author(s):  
Rüdiger Wolfrum

This chapter explores the general question of how to establish that the regulation of a certain matter constitutes a matter of community-wide concern, which is the necessary step for the recognition of community obligation. The hypothesis is that such a qualification must, first, be well founded factually and, secondly, accepted as such in a legal or political legitimizing process. On this basis, the chapter suggests that the governance of spaces beyond national jurisdiction constitutes a community interest and has to be guided by the interests of the international community. Exploring this question with respect to key common spaces and particular issues, the chapter notes the difficulty of most of the dispute settlement systems, which, being bilateral, are not fully adequate to address questions related to the management of global commons as well as for the protection of the environment. To avoid this difficulty, the chapter suggests greater reliance on advisory opinions where available.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yi Li ◽  
Yang Zhou

Abstract In this article we probe the proposed holographic duality between $$ T\overline{T} $$ T T ¯ deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the $$ T\overline{T} $$ T T ¯ CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in Euclidean AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with $$ T\overline{T} $$ T T ¯ CFT parameters.


2021 ◽  
Vol 79 (1) ◽  
Author(s):  
Yousef S. Khader ◽  
Khulood K. Shattnawi ◽  
Nihaya Al-Sheyab ◽  
Mohammad Alyahya ◽  
Anwar Batieha

Abstract Background Jordan Stillbirths and Neonatal Deaths Surveillance system (JSANDS) is a newly developed system and is currently implemented in five large hospitals in Jordan. This study aimed at exploring the healthcare professionals’ perception about the usability of JSANDS. Methods A descriptive qualitative approach, using focus group discussions, was adopted. A total of 5 focus groups including 23 focal points were conducted in five participating hospitals in Jordan. Results Data analysis identified nine main issues related to the JSANDS system: the system usefulness, the system performance, data quality, the system limitations, human rights, female empowerment, nurses’ competencies strengthened, the sustainability of the JSANDS, and COVID-19 impact on the system. Users reported that JSANDS data were useful, the system was simple and easy to use, and the data were accurate and complete. However, some users reported that some technical issues need to be enhanced. Conclusions JSANDS was perceived positively by the current users. According to them, it provides a formative and comprehensive data on stillbirths and neonatal deaths and their causes, and therefore, was recommended to be adopted by its users and scaled up.


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