scholarly journals Hyperbolic Wavelet Analysis of Classical Isotropic and Anisotropic Besov–Sobolev Spaces

2021 ◽  
Vol 27 (3) ◽  
Author(s):  
Martin Schäfer ◽  
Tino Ullrich ◽  
Béatrice Vedel

AbstractIn this paper we introduce new function spaces which we call anisotropic hyperbolic Besov and Triebel-Lizorkin spaces. Their definition is based on a hyperbolic Littlewood-Paley analysis involving an anisotropy vector only occurring in the smoothness weights. Such spaces provide a general and natural setting in order to understand what kind of anisotropic smoothness can be described using hyperbolic wavelets (in the literature also sometimes called tensor-product wavelets), a wavelet class which hitherto has been mainly used to characterize spaces of dominating mixed smoothness. A centerpiece of our present work are characterizations of these new spaces based on the hyperbolic wavelet transform. Hereby we treat both, the standard approach using wavelet systems equipped with sufficient smoothness, decay, and vanishing moments, but also the very simple and basic hyperbolic Haar system. The second major question we pursue is the relationship between the novel hyperbolic spaces and the classical anisotropic Besov–Lizorkin-Triebel scales. As our results show, in general, both approaches to resolve an anisotropy do not coincide. However, in the Sobolev range this is the case, providing a link to apply the newly obtained hyperbolic wavelet characterizations to the classical setting. In particular, this allows for detecting classical anisotropies via the coefficients of a universal hyperbolic wavelet basis, without the need of adaption of the basis or a-priori knowledge on the anisotropy.

Author(s):  
Mariëlle Stel ◽  
Rick B. van Baaren ◽  
Jim Blascovich ◽  
Eric van Dijk ◽  
Cade McCall ◽  
...  
Keyword(s):  
A Priori ◽  

Mimicry and prosocial feelings are generally thought to be positively related. However, the conditions under which mimicry and liking are related largely remain unspecified. We advance this specification by examining the relationship between mimicry and liking more thoroughly. In two experiments, we manipulated an individual’s a priori liking for another and investigated whether it influenced mimicry of that person. Our experiments demonstrate that in the presence of a reason to like a target, automatic mimicry is increased. However, mimicry did not decrease when disliking a target. These studies provide further evidence of a link between mimicry and liking and extend previous research by showing that a certain level of mimicry even occurs when mimicry behavior is inconsistent with one’s goals or motivations.


GIS Business ◽  
2019 ◽  
Vol 14 (4) ◽  
pp. 85-98
Author(s):  
Idoko Peter

This research the impact of competitive quasi market on service delivery in Benue State University, Makurdi Nigeria. Both primary and secondary source of data and information were used for the study and questionnaire was used to extract information from the purposively selected respondents. The population for this study is one hundred and seventy three (173) administrative staff of Benue State University selected at random. The statistical tools employed was the classical ordinary least square (OLS) and the probability value of the estimates was used to tests hypotheses of the study. The result of the study indicates that a positive relationship exist between Competitive quasi marketing in Benue State University, Makurdi Nigeria (CQM) and Transparency in the service delivery (TRSP) and the relationship is statistically significant (p<0.05). Competitive quasi marketing (CQM) has a negative effect on Observe Competence in Benue State University, Makurdi Nigeria (OBCP) and the relationship is not statistically significant (p>0.05). Competitive quasi marketing (CQM) has a positive effect on Innovation in Benue State University, Makurdi Nigeria (INVO) and the relationship is statistically significant (p<0.05) and in line with a priori expectation. This means that a unit increases in Competitive quasi marketing (CQM) will result to a corresponding increase in innovation in Benue State University, Makurdi Nigeria (INVO) by a margin of 22.5%. It was concluded that government monopoly in the provision of certain types of services has greatly affected the quality of service experience in the institution. It was recommended among others that the stakeholders in the market has to be transparent so that the system will be productive to serve the society effectively


2014 ◽  
pp. 83
Author(s):  
Sabino de Juan López

RESUMEN En el artículo se ofrece una reflexión en torno a la educación y valores. Tras una referencia a los diferentes sentidos en que se puede plantear el problema en función de la forma como se puede entender la relación entre los dos sustantivos “educación” y “valores”, la reflexión se centra en algunos problemas relacionados con los valores en cuanto contenidos de la educación. Primeramente se refiere al problema del criterio en función del cual determinar los valores de la educación, concluyendo en que el criterio no podía ser ni de carácter a priori, ni empírico, sino “sintético”. A continuación, se afronta el problema del principio, de la fuente de los valores, o la concreción del criterio de los valores de la educación, entendiendo que éstos deberían ser determinados a partir del sujeto de la educación. Se concluye con la referencia a una exigencia de los valores de la educación, la configuración de una totalidad unitaria e interactiva. Palabras clave: educación, valores, fuente de valores, integración, cultura EDUCATION AND VALUES ABSTRACT The article offers a reflection on education and values. After a reference to the different senses in which one can pose the problem in terms of how you can understand the relationship between the two nouns “education” and “values”, reflection focuses on some problems related to the values in the contents of education. First, it concerns the problem of the criterion against which to determine the values of education, concluding that the criterion could be neither a priori in nature, not empirical, but “synthetic”. Herein, the problem of principle is faced, the source of values, or the realization of the criterion of the values of education, understanding that these should be determined from the subject of education. It concludes with the reference of a requirement of the values in education, setting up a unitary and interactive whole. Key Words: education, values , power values , integration, culture


2020 ◽  
Author(s):  
Agnieszka Wykowska ◽  
Jairo Pérez-Osorio ◽  
Stefan Kopp

This booklet is a collection of the position statements accepted for the HRI’20 conference workshop “Social Cognition for HRI: Exploring the relationship between mindreading and social attunement in human-robot interaction” (Wykowska, Perez-Osorio &amp; Kopp, 2020). Unfortunately, due to the rapid unfolding of the novel coronavirus at the beginning of the present year, the conference and consequently our workshop, were canceled. On the light of these events, we decided to put together the positions statements accepted for the workshop. The contributions collected in these pages highlight the role of attribution of mental states to artificial agents in human-robot interaction, and precisely the quality and presence of social attunement mechanisms that are known to make human interaction smooth, efficient, and robust. These papers also accentuate the importance of the multidisciplinary approach to advance the understanding of the factors and the consequences of social interactions with artificial agents.


2020 ◽  
Vol 17 (9) ◽  
pp. 1084-1101
Author(s):  
Tingjuan Wu ◽  
Xu Yao ◽  
Guan Wang ◽  
Xiaohe Liu ◽  
Hongfei Chen ◽  
...  

Background: Oleanolic Acid (OA) is a ubiquitous product of triterpenoid compounds. Due to its inexpensive availability, unique bioactivities, pharmacological effects and non-toxic properties, OA has attracted tremendous interest in the field of drug design and synthesis. Furthermore, many OA derivatives have been developed for ameliorating the poor water solubility and bioavailability. Objective: Over the past few decades, various modifications of the OA framework structure have led to the observation of enhancement in bioactivity. Herein, we focused on the synthesis and medicinal performance of OA derivatives modified on A-ring. Moreover, we clarified the relationship between structures and activities of OA derivatives with different functional groups in A-ring. The future application of OA in the field of drug design and development also was discussed and inferred. Conclusion: This review concluded the novel achievements that could add paramount information to the further study of OA-based drugs.


Author(s):  
Caroline Franklin

This chapter studies the novels of sensibility in the 1780s. The philosophy of John Locke, Anthony Ashley Cooper, third Earl of Shaftesbury, Adam Smith, and Francis Hutcheson had influenced the first wave of epistolary novels of sensibility beginning in the 1740s. These explored the interaction between emotion and reason in producing moral actions. Response to stimuli was minutely examined, especially the relationship between the psychological and physiological manifestations of feelings. Later in the century, and, in particular during the late 1780s when the novel enjoyed a surge in popularity, the capacity for fine feeling became increasingly valued for its own sake rather than moralized. Ultimately, sensibility should be seen as a long-lasting literary movement rather than an ephemeral fashion. It put paternal authority and conventional modes of masculinity under question.


Author(s):  
Elizabeth Gaskell

‘It's the masters as has wrought this woe; it's the masters as should pay for it.’ Set in Manchester in the 1840s - a period of industrial unrest and extreme deprivation - Mary Barton depicts the effects of economic and physical hardship upon the city's working-class community. Paralleling the novel's treatment of the relationship between masters and men, the suffering of the poor, and the workmen's angry response, is the story of Mary herself: a factory-worker's daughter who attracts the attentions of the mill-owner's son, she becomes caught up in the violence of class conflict when a brutal murder forces her to confront her true feelings and allegiances. Mary Barton was praised by contemporary critics for its vivid realism, its convincing characters and its deep sympathy with the poor, and it still has the power to engage and move readers today. This edition reproduces the last edition of the novel supervised by Elizabeth Gaskell and includes her husband's two lectures on the Lancashire dialect.


Author(s):  
Cristina Vatulescu

This chapter approaches police records as a genre that gains from being considered in its relationships with other genres of writing. In particular, we will follow its long-standing relationship to detective fiction, the novel, and biography. Going further, the chapter emphasizes the intermedia character of police records not just in our time but also throughout their existence, indeed from their very origins. This approach opens to a more inclusive media history of police files. We will start with an analysis of the seminal late nineteenth-century French manuals prescribing the writing of a police file, the famous Bertillon-method manuals. We will then track their influence following their adoption nationally and internationally, with particular attention to the politics of their adoption in the colonies. We will also touch briefly on the relationship of early policing to other disciplines, such as anthropology and statistics, before moving to a closer look at its intersections with photography and literature.


2017 ◽  
Vol 46 (2) ◽  
pp. 76-82 ◽  
Author(s):  
Elliott Colla

In this essay, Arabic literature specialist and Arabic-English translator Elliott Colla explores the relationship between the novel and the nation, and reviews Bashir Abu-Manneh's ambitious and original contribution to the study of Palestinian literature.


2021 ◽  
Vol 8 (2) ◽  
pp. 214-231
Author(s):  
Ankhi Mukherjee

Examining the contestation of interpretations around this work, I argue that the proliferation of exegetical material on Sophocles’s Antigone is related to a noncomprehension of the human motives behind her transgressive action. Did she ever love, and is there any suffering in her piety? If she didn’t love (her brother), could she have suffered? I read the play alongside Kamila Shamsie’s postcolonial rewriting of it in Home Fire to elaborate on the relationship between personal loss and collective (and communal) suffering, particularly as it is focalized in the novel by the figure of a young woman who is both a bereaved twin and a vengeful fury.


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