scholarly journals Linear theory for a mixed operator with Neumann conditions

2021 ◽  
pp. 1-24
Author(s):  
Serena Dipierro ◽  
Edoardo Proietti Lippi ◽  
Enrico Valdinoci

We consider here a new type of mixed local and nonlocal equation under suitable Neumann conditions. We discuss the spectral properties associated to a weighted eigenvalue problem and present a global bound for subsolutions. The Neumann condition that we take into account comprises, as a particular case, the one that has been recently introduced in (Rev. Mat. Iberoam. 33(2) (2017), 377–416). Also, the results that we present here find a natural application to a logistic equation motivated by biological problems that has been recently considered in (Dipierro, Proietti Lippi and Valdinoci (2021)).

2021 ◽  
Vol 4 (6) ◽  
pp. 1-10
Author(s):  
Biagio Cassano ◽  
◽  
Lucrezia Cossetti ◽  
Luca Fanelli ◽  
◽  
...  

<abstract><p>In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lamé operators with non self-adjoint perturbations, we provide quantitative bounds on the location of the point spectrum in terms of suitable norms of the damping coefficient.</p></abstract>


2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Sertac Goktas

In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates for eigenfunctions of the multiplicative Sturm-Liouville problem are obtained by some techniques. Finally, some basic spectral properties of this multiplicative problem are examined in detail.


The Chert Bed of Middle, or possibly Lower, Old Red Sandstone age discovered by Dr. W. Mackie (1914) at Rhynie, in Aberdeenshire, has become famous among palæo-botanists on account of the beautifully preserved remains of the earliest known land plants, described by the late Dr. Kidston and Prof. Lang (1917-1921). In addition to the plants, however, the Rhynie Chert also contains animal remains, for the most part very small and in a very fragmentary condition, although the fragments themselves are in many cases exceedingly well preserved. The vast majority of these animal remains are evidently Crustacean in character, and it was at first thought (see British Association Report, 1919, p. 110) that they belonged to several, or at least to two, different species. Subsequent work has, however, convinced me that all the Crustacean remains so far seen in the Rhynie Chert belong to the one species described in this paper.


Author(s):  
V. Lysenko

The social order posed by the society to the training of highly qualified personnel for the strategic needs of the labor market is associated with the changes in the economy, including the processes of its computerization and digitalization. Transformations in the digital economy determine new requirements for specialists’ training, their competences and qualification. The rapid changes in socio-economic conditions cause the need to transform the system of vocational training in order to meet the demands for competencies that correspond to the current technologic trends and methods of production. The reforms of vocational education system can be significant in resolving contradictions between the quality of training, on the one hand, and public and employers’ demands, on the other hand. Close cooperation of professional educational institutions, employers and social partners through their joint design and development of teaching technologies and methods for advanced vocational training of qualified specialists can be considered as one of the most efficient factors and conditions for resolving the above mentioned contradictions. These new conditions have already been created in the Centers for Advanced Vocational Training (CAVT), which can be characterized as a new type of infrastructural solution to the problem of aggregation of advanced vocational training programs and material and technical resources owned by science, education, production. The article focuses on some features of interaction and cooperation among vocational educational institutions, employers and social partners (social and public-private partnerships, networking cooperation, educational and technological cluster), which are taken into account in the performance of the Center for Advanced Vocational Training of the Kemerovo region.


2018 ◽  
Vol 18 (3-4) ◽  
pp. 390-405 ◽  
Author(s):  
PEDRO CABALAR ◽  
JORGE FANDINNO ◽  
LUIS FARIÑAS DEL CERRO ◽  
DAVID PEARCE

AbstractIn this paper, we propose a variant of Answer Set Programming (ASP) with evaluable functions that extends their application to sets of objects, something that allows a fully logical treatment of aggregates. Formally, we start from the syntax of First Order Logic with equality and the semantics of Quantified Equilibrium Logic with evaluable functions (${\rm QEL}^=_{\cal F}$). Then, we proceed to incorporate a new kind of logical term,intensional set(a construct commonly used to denote the set of objects characterised by a given formula), and to extend${\rm QEL}^=_{\cal F}$semantics for this new type of expression. In our extended approach, intensional sets can be arbitrarily used as predicate or function arguments or even nested inside other intensional sets, just as regular first-order logical terms. As a result, aggregates can be naturally formed by the application of some evaluable function (count,sum,maximum, etc) to a set of objects expressed as an intensional set. This approach has several advantages. First, while other semantics for aggregates depend on some syntactic transformation (either via a reduct or a formula translation), the${\rm QEL}^=_{\cal F}$interpretation treats them as regular evaluable functions, providing a compositional semantics and avoiding any kind of syntactic restriction. Second, aggregates can be explicitly defined now within the logical language by the simple addition of formulas that fix their meaning in terms of multiple applications of some (commutative and associative) binary operation. For instance, we can use recursive rules to definesumin terms of integer addition. Last, but not least, we prove that the semantics we obtain for aggregates coincides with the one defined by Gelfond and Zhang for the${\cal A}\mathit{log}$language, when we restrict to that syntactic fragment.


2019 ◽  
Vol 11 (4) ◽  
Author(s):  
James Theroux

The case method can be classified as a type of experiential learning because students treat the problem in the case as if it were real and immediate. Until the Internet there was no practical way for cases to actually be real and immediate. The Internet makes possible instantaneous distribution of cases, and it makes possible their creation in real time. This article describes a recent attempt to use the Internet to bring business reality to business courses, and to facilitate communication among instructors, students, and the case company. It explores the challenges and difficulties involved in producing a new type of case study, and it assesses the feasibility of doing so on a regular basis. The goal of the author is to stimulate a dialog about how the Internet can be used to move forward all of our teaching methods, but especially the one that is prominent in schools of business: the case method.


Religions ◽  
2021 ◽  
Vol 12 (10) ◽  
pp. 808
Author(s):  
Andok Mónika

The present study shows how Hungarian churches and religious communities responded to the physical closure and relocation to online spaces in the spring of 2020, since while physical gates became closed, digital gates became opened. In the churches, work began in two directions with particular intensity. On the one hand, they organized their online appearance. On the other hand, they began to rethink their theological reflections on the possibilities of digital technology. The study also analyses both the event- and community-based presence of the churches as well as what they broadcast to their believers. The intention was to find the answer to what the presence of the camera meant in the process of live broadcasting, with a special focus on the visual elements and procedures that differed from the visual perception of real presence during streaming: the camera movement, the different viewing angles, the location of the cameras, the cut, and the sound quality. In other words, the believers had a new visual experience, an optical representation of reality, which afforded them a new type of interactivity and participation. In addition, the study highlights the generational differences that can be explored in digital transitions.


2019 ◽  
Vol 9 (1) ◽  
pp. 85-97
Author(s):  
Béla Mester

Abstract The role of the diaries and memoirs in the process of the conscious self-reflection and their contribution to the emergence of modern individual personalities are well-known facts of the intellectual history. The present paper intends to analyze a special form of the creation of modern individual character; it is the self-creation of the writer as a conscious personality, often with a clearly formulated opinion about her/his own social role. There will be offered several examples from the 19th-century history of the Hungarian intelligentsia. This period is more or less identical with the modernization of the “cultural industry” in Hungary, dominated by the periodicals with their deadlines, fixed lengths of the articles, and professional editing houses on the one hand and the cultural nation building on the other. Concerning the possible social and cultural role of the intelligentsia, it is the moment of the birth of a new type, so-called public intellectual. I will focus on three written sources, a diary of a Calvinist student of theology, Péter (Litkei) Tóth, the memoirs of an influential public intellectual, Gusztáv Szontagh, and a belletristic printed diary of a young intellectual, János Asbóth.


2017 ◽  
Vol 23 (2) ◽  
pp. 193-205 ◽  
Author(s):  
Adrián Todolí-Signes

The digital era has changed employment relationships dramatically, causing a considerable degree of legal uncertainty as to which rules apply in cyberspace. Technology is transforming business organisation in a way that makes employees – as subordinate workers – less necessary. New types of companies, based on the ‘on-demand economy’ or so-called ‘sharing economy’ and dedicated to connecting customers directly with individual service providers, are emerging. These companies conduct their entire core business through workers that they classify as self-employed. In this context, employment law is facing its greatest challenge, as it has to deal with a very different reality to the one existing when it was created. This article analyses the literature available about the classification of this new type of worker as an employee or as self-employed, concluding that there is a need for a new special labour regulation. It also describes and justifies the bases for this new special labour regulation.


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