scholarly journals Higher P-symmetric Ekeland-Hofer capacities

2012 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Kun Shi ◽  
Guangcun Lu

<p style='text-indent:20px;'>This paper is devoted to the construction of analogues of higher Ekeland-Hofer symplectic capacities for <inline-formula><tex-math id="M2">\begin{document}$ P $\end{document}</tex-math></inline-formula>-symmetric subsets in the standard symplectic space <inline-formula><tex-math id="M3">\begin{document}$ (\mathbb{R}^{2n},\omega_0) $\end{document}</tex-math></inline-formula>, which is motivated by Long and Dong's study about <inline-formula><tex-math id="M4">\begin{document}$ P $\end{document}</tex-math></inline-formula>-symmetric closed characteristics on <inline-formula><tex-math id="M5">\begin{document}$ P $\end{document}</tex-math></inline-formula>-symmetric convex bodies. We study the relationship between these capacities and other capacities, and give some computation examples. Moreover, we also define higher real symmetric Ekeland-Hofer capacities as a complement of Jin and the second named author's recent study of the real symmetric analogue about the first Ekeland-Hofer capacity.</p>

Derrida Today ◽  
2008 ◽  
Vol 1 (1) ◽  
pp. 131-133
Author(s):  
Gary Banham

This book promises a ‘radical reappraisal’ (Kates 2005, xv) of Derrida, concentrating particularly on the relationship of Derrida to philosophy, one of the most vexed questions in the reception of his work. The aim of the book is to provide the grounds for this reappraisal through a reinterpretation in particular of two of the major works Derrida published in 1967: Speech and Phenomena and Of Grammatology. However the study of the development of Derrida's work is the real achievement of the book as Kates discusses major works dating from the 1954 study of genesis in Husserl's phenomenology through to the essays on Levinas and Foucault in the early 1960's as part of his story of how Derrida arrived at the writing of the two major works from 1967.


2021 ◽  
Vol 11 (11) ◽  
pp. 5067
Author(s):  
Paulo Veloso Gomes ◽  
António Marques ◽  
João Donga ◽  
Catarina Sá ◽  
António Correia ◽  
...  

The interactivity of an immersive environment comes up from the relationship that is established between the user and the system. This relationship results in a set of data exchanges between human and technological actors. The real-time biofeedback devices allow to collect in real time the biodata generated by the user during the exhibition. The analysis, processing and conversion of these biodata into multimodal data allows to relate the stimuli with the emotions they trigger. This work describes an adaptive model for biofeedback data flows management used in the design of interactive immersive systems. The use of an affective algorithm allows to identify the types of emotions felt by the user and the respective intensities. The mapping between stimuli and emotions creates a set of biodata that can be used as elements of interaction that will readjust the stimuli generated by the system. The real-time interaction generated by the evolution of the user’s emotional state and the stimuli generated by the system allows him to adapt attitudes and behaviors to the situations he faces.


Elenchos ◽  
2015 ◽  
Vol 36 (1) ◽  
pp. 45-88 ◽  
Author(s):  
Monica Ugaglia

Abstract Aristotle’s way of conceiving the relationship between mathematics and other branches of scientific knowledge is completely different from the way a contemporary scientist conceives it. This is one of the causes of the fact that we look at the mathematical passages we find in Aristotle’s works with the wrong expectation. We expect to find more or less stringent proofs, while for the most part Aristotle employs mere analogies. Indeed, this is the primary function of mathematics when employed in a philosophical context: not a demonstrative tool, but a purely analogical model. In the case of the geometrical examples discussed in this paper, the diagrams are not conceived as part of a formalized proof, but as a work in progress. Aristotle is not interested in the final diagram but in the construction viewed in its process of development; namely in the figure a geometer draws, and gradually modifies, when he tries to solve a problem. The way in which the geometer makes use of the elements of his diagram, and the relation between these elements and his inner state of knowledge is the real feature which interests Aristotle. His goal is to use analogy in order to give the reader an idea of the states of mind involved in a more general process of knowing.


2008 ◽  
Vol 101 (2) ◽  
pp. 169-201 ◽  
Author(s):  
Yong Huang

In this article, I discuss the Song 宋 Neo-Confucian Cheng Yi's 程頤 (1033–1107) interpretation of two related controversial passages in the Analects, the recorded sayings of Confucius. The term “neo-Confucianism” was coined by Western scholars to refer to the Confucianism of the period from the Song dynasty to the Ming 明 dynasty (and sometimes through the Qing 清 dynasty). Among Chinese scholars, neo-Confucianism is most commonly referred to as the Learning of Principle (li xue 理學). Although before Cheng Yi and his brother Cheng Hao 程顥 (1032–1085) there were three other philosophers who are normally also regarded as neo-Confucians— Shao Yong 邵雍 (1011–1077), Zhou Dunyi 周敦頤 (1017–1073), and Zhang Zai 張載 (1020–1077)—we can justifiably regard the Cheng brothers as the real founders of neo-Confucianism in the sense that principle becomes the essential philosophical concept for the first time in their works. There is no consensus among scholars as to the relationship between the philosophies of these two brothers. The traditional view regards them as substantially different due to the two different schools of neo-Confucianism that developed from their teachings, the realistic school synthesized by Zhu Xi 朱熹 (1130–1200) from the teachings of Cheng Yi and the idealist school culminating in Wang Yangming 王陽明 (1472–1529) from the teachings of ChengHao. I, however, tend to think that the philosophical positions of the two brothers are largely similar. Unfortunately, since Cheng Hao did not live as long as Cheng Yi, there is insufficient material to create a systematic picture of his view of the Analects passages with which this article will deal.


2007 ◽  
Vol 72 (1) ◽  
pp. 119-122 ◽  
Author(s):  
Ehud Hrushovski ◽  
Ya'acov Peterzil

AbstractWe use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.


1998 ◽  
Vol 9 (5) ◽  
pp. 549-568
Author(s):  
Noel D. Uri

The impact of energy on the adoption of conservation tillage is of special importance in addressing concerns about the effect of agricultural production on the environment in the United States. It is the subject of this paper. After establishing that a relationship exists between the price of energy and the adoption of conservation tillage via cointegration techniques, the relationship is quantified. It is shown that while the real price of crude oil, the proxy used for the price of energy, does not affect the rate of adoption of conservation tillage, it does impact the extent to which it is used. Finally, there is no structural instability in the relationship between the relative use of conservation tillage and the real price of crude oil over the period 1963 to 1997.


Author(s):  
Irene Zempi ◽  
Imran Awan

This chapter examines the implications of online/offline Islamophobia for victims including increased feelings of vulnerability, fear and insecurity. Participants also suffered a range of psychological and emotional responses such as low confidence, depression and anxiety. Additionally, participants highlighted the relationship between online and offline Islamophobia, and described living in fear because of the possibility of online threats materialising in the ‘real world’. Many participants reported taking steps to become less ‘visible’ for example by taking the headscarf or face veil off for women and shaving their beards for men.


2014 ◽  
Vol 1028 ◽  
pp. 341-345
Author(s):  
Rui Zhang

Product innovation design is challenging due to the complexity of the industrial environment, the changing needs of markets and customers, the effect of intense social competition, and the unpredictability of the future. This paper presents in a systematic analysis of reliability method on industrial product innovation design in order to illustrate what the real meaning of reliability method and how it works on the product innovation design. It also clarifies the relationship between reliability method and product innovation design, reflecting the function of reliability method on each work stage. It is concluded that a suitable thinking mode should be applied on the corresponding design, and it will enhance the effectiveness of innovative product design in general.


2021 ◽  
Vol 11 (1) ◽  
pp. 139-147
Author(s):  
S. V. Sheyanova ◽  
◽  
N. M. Yusupova ◽  

Introduction: at present the reader’s audience is particularly interested in creative experiments in which the historical fate of the Russian peasantry in the «turning» eras is artistically comprehended. The article is devoted to the study of the problem-thematic range of modern Mordovian historical prose. The subject of analysis is the peculiarity of the reception of the period of collectivization and dekulakization in the story by Erzyan prose writer A. Doronin «A Wolf Ravine». Objective: to reveal the features of the artistic reconstruction of the events of the 1930s, the modeling of the relationship between a man and society in the story by A. Doronin «A Wolf Ravine».Research materials: the story by A. Doronin «A Wolf Ravine». Results and novelty of the research: the historical story « A Wolf Ravine » for the first time becomes the object of scientific understanding and is introduced into the context of Finno-Ugric literary criticism. A. Doronin artistically interprets the real events and circumstances of the resettlement of dispossessed peasants of the Volga region to the uninhabited steppes of Kazakhstan. As a result of the study, we conclude that the actualization of this problem-thematic cluster is due to the creative concept of the historical writer; the individual author’s approach to the reconstruction of historical narrative can be traced in the writer’s desire to realistically reveal the relationship of personality and society in the tragic 1930s; to analyze intentions of people and of the psychological states of the characters. Problems of a sociopolitical nature, actualized in the story, are filled with philosophical, axiological content, and lead to a multi-faceted understanding of the «man and history» problem.


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