Singular Nonlinear Equation Class : Theoretical and Experimental Concept

2021 ◽  
Author(s):  
Aurélien Serge Tchakoutio Nguetcho
Keyword(s):  
Bifurcation Theory ◽  
Dynamical Behavior ◽  
Angular Frequency ◽  
Dynamic Equations ◽  
Extended Form ◽  
Localized Modes ◽  
The Third ◽  
Set Up ◽  
Planar Dynamical Systems ◽  
Extended Interpretation

Abstract This work generalizes and extends our work in refs [10,29,37], dealing a theoretical model of a monoatomic chain immersed in a potential of periodic and deformable substrate, the third and fourth non-linearities being taken into account. Looking at the analytical localized modes provides an extended interpretation of system dynamics based upon modes existence and yields an extended form of the nonlinear Schrodinger equation to describe the eikonal wave's complex amplitude. In this equation, the coeffcients depend on the wavenumber, whereas the parallel with the nonlinear transmission electrical line introduced in references results in [1,2] not fully resolved dynamic equations. So far, only specific solutions have been presented. Our dynamic study thus presents a theoretical prediction for their experimental set up. In contrast to previous works done for particular values of the wavenumber, namely on the behavior of gap (k = 0 and k = π) solutions of the model [10], or for k (k = ±2π=3) in the central bandpass area [37], we consider here rather behaviors of the system when the angular frequency is arbitrary. By using bifurcation theory of planar dynamical systems and investigating the dynamical behavior, we derive a variety of solutions corresponding to the phase trajectories under different parameter conditions.

Excavations at Fishbourne, 1963. Third Interim Report

1964 ◽  
Vol 44 (1) ◽  
pp. 1-8
Keyword(s):  
Interim Report ◽  
The West ◽  
Civic Society ◽  
North West ◽  
The Third ◽  
North East ◽  
The North ◽  
The Future ◽  
Set Up

Early in 1963 much of the land occupied by the Roman building at Fishbourne was purchased by Mr. I. D. Margary, M.A., F.S.A., and was given to the Sussex Archaeological Trust. The Fishbourne Committee of the trust was set up to administer the future of the site. The third season's excavation, carried out at the desire of this committee, was again organized by the Chichester Civic Society.1 About fifty volunteers a day were employed from 24th July to 3rd September. Excavation concentrated upon three main areas; the orchard south of the east wing excavated in 1962, the west end of the north wing, and the west wing. In addition, trial trenches were dug at the north-east and north-west extremities of the building and in the area to the north of the north wing. The work of supervision was carried out by Miss F. Pierce, M.A., Mr. B. Morley, Mr. A. B. Norton, B.A., and Mr. J. P. Wild, B.A. Photography was organized by Mr. D. B. Baker and Mrs. F. A. Cunliffe took charge of the pottery and finds.

scholarly journals A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 450
Author(s):  
Chao Wang ◽  
Ravi P. Agarwal
Keyword(s):  
Time Scales ◽  
Function Analysis ◽  
Dynamical Behavior ◽  
Research Field ◽  
Dynamic Equations ◽  
Future Research ◽  
Dynamical Models ◽  
Time Scale Calculus ◽  
The Difference

As an effective tool to unify discrete and continuous analysis, time scale calculus have been widely applied to study dynamic systems in both theoretical and practical aspects. In addition to such a classical role of unification, the dynamic equations on time scales have their own unique features which the difference and differential equations do not possess and these advantages have been highlighted in describing some complicated dynamical behavior in the hybrid time process. In this review article, we conduct a survey of abstract analysis and applied dynamic equations on hybrid time scales, some recent main results and the related developments on hybrid time scales will be reported and the future research related to this research field is discussed. The results presented in this article can be extended and generalized to study both pure mathematical analysis and real applications such as mathematical physics, biological dynamical models and neural networks, etc.

Translator and translation research: general descriptions of concepts

2019 ◽  
Author(s):  
Darian Jancowicz-Pitel
Keyword(s):  
Quantitative Method ◽  
Point Of View ◽  
Translation Process ◽  
Translation Research ◽  
Qualitative And Quantitative ◽  
The Third ◽  
Part Time ◽  
Set Up ◽  
Translation Errors ◽  
Multiple Languages

The presented paper aimed for exploring the translation process, a translator or interpreter needs equipment or tools so that the objectives of a translation can be achieved. If an interpreter needs a pencil, paper, headphones, and a mic, then an interpreter needs even more tools. The tools required include conventional and modern tools. Meanwhile, the approach needed in research on translation is qualitative and quantitative, depending on the research objectives. If you want to find a correlation between a translator's translation experience with the quality or type of translation errors, a quantitative method is needed. Also, this method is very appropriate to be used in research in the scope of teaching translation, for example from the student's point of view, their level of intelligence regarding the quality or translation errors. While the next method is used if the research contains translation errors, procedures, etc., it is more appropriate to use qualitative methods. Seeing this fact, these part-time translators can switch to the third type of translator, namely free translators. This is because there is an awareness that they can live by translation. These translators set up their translation efforts that involve multiple languages.

scholarly journals Epigraphic Squeezes: Digitisation, Publication, and Enhancement

2020 ◽  
Vol 65 (1) ◽  
pp. 5-16
Author(s):  
Eloisa Paganoni
Keyword(s):  
Relational Database ◽  
Web Application ◽  
Initial Phase ◽  
Current Phase ◽  
Methodological Issues ◽  
The Third ◽  
Research And Teaching ◽  
Database Architecture ◽  
Set Up ◽  
Greek Epigraphy

"Epigraphic squeezes are a key tool for research and teaching. They also have historical and documentary value. They are reliable copies of inscribed text and become the only evidence that remains if inscriptions are lost or destroyed. This paper describes the Venice Squeeze Project for the preservation and enhancement of epigraphic squeezes in the Department of Humanities at Ca’ Foscari University of Venice. For the initial phase of the project, the Ca’ Foscari University collection of epigraphic squeezes was published in the digital ektypotheke E-stampages. The current phase involves developing a web application to digitise epigraphic squeezes according to the metadata architecture of E-stampages. The first part of this paper describes the background of the Venice Squeeze Project and methodological issues, which fostered the partnership with E-stampages. The second part describes the relational database that was set up to digitise the Ca’ Foscari collection. The third part introduces the project initiatives to promote a network of Italian institutions interested in digitizing their collections of epigraphic squeezes. Keywords: Greek epigraphy, squeezes, database architecture"

The Empirical Research for the Expansion of Chain into the Third and Fourth Tier Cities in Guangdong Province

2012 ◽  
Vol 433-440 ◽  
pp. 1967-1970
Author(s):  
Jun Chen ◽  
De Shan Tang
Keyword(s):  
Decision Making ◽  
Factor Analysis ◽  
Empirical Research ◽  
Power Index ◽  
Guangdong Province ◽  
County Level ◽  
Scientific Choice ◽  
Retail Chain ◽  
The Third ◽  
Set Up

The Retail Chain Enterprises implement the strategy of channel to sink to set up shops in third and fourth cities. A reasonable and scientific choice of order of priority must be made when the enterprises entering those cities. This article adopts the approach of the Factor Analysis and duster Analysis the analysis 72 cities (including county-level cities) according to purchasing power index, and to explore how Retail Chain Enterprises to make the market of third and fourth their cities in Guangdong province. The conclusion that is the order of decision ——making to enter into the third and fourth tier cities, which has important guiding significance.

Graphical Hopf Bifurcation of a Filippov HTLV-1 Model With Delay in Cytotoxic T Cells Response

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
Elham Shamsara ◽  
Zahra Afsharnezhad ◽  
Elham Javidmanesh
Keyword(s):  
T Cells ◽  
Hopf Bifurcation ◽  
Periodic Solutions ◽  
Bifurcation Theory ◽  
Cytotoxic T Cells ◽  
Dynamical Behavior ◽  
Bifurcation Theorem ◽  
Nyquist Criterion ◽  
The Stability ◽  
Frequency Domain Approach

In this paper, we present a discontinuous cytotoxic T cells (CTLs) response for HTLV-1. Moreover, a delay parameter for the activation of CTLs is considered. In fact, a system of differential equation with discontinuous right-hand side with delay is defined for HTLV-1. For analyzing the dynamical behavior of the system, graphical Hopf bifurcation is used. In general, Hopf bifurcation theory will help to obtain the periodic solutions of a system as parameter varies. Therefore, by applying the frequency domain approach and analyzing the associated characteristic equation, the existence of Hopf bifurcation by using delay immune response as a bifurcation parameter is determined. The stability of Hopf bifurcation periodic solutions is obtained by the Nyquist criterion and the graphical Hopf bifurcation theorem. At the end, numerical simulations demonstrated our results for the system of HTLV-1.

Big Hopes and Trouble, 1961–1969

2021 ◽  
pp. 30-76
Author(s):  
Catriona Kelly
Keyword(s):  
Production Planning ◽  
Fiftieth Anniversary ◽  
The Other ◽  
October Revolution ◽  
Party Leader ◽  
Film Production ◽  
The Third ◽  
The Government ◽  
Set Up ◽  
General Director

In 1961, the government bodies responsible for film production (the Ministries of Culture of the USSR and RSFSR) forcibly imposed on a reluctant Lenfilm the complete reorganization of production planning. The old Scripts Department was shut down and three “creative units” set up. This change was pushed through by Lenfilm’s energetic and flamboyant new general director, Ilya Kiselev, who had begun his career as an actor. Of the creative units, the earliest to emerge was the Third Creative Unit, which soon had a role as the flagship of contemporary cinema, a genre heavily promoted during the Thaw. However, the Third Creative Unit ran into increasing trouble as political control tightened after Khrushchev was forced to resign, and in 1969, it was closed down altogether. Yet life was not always calmer in the other units, as witnessed in particular by the difficulties that gripped the Second Creative Unit’s efforts to produce movies commemorating the fiftieth anniversary of the October Revolution in 1967, and by the problems of the First Creative Unit in establishing its own character and repertoire. At the same time, the general political line at this period, while unpredictable, was not uniformly harsh, as manifested in the conclusion of Leningrad’s Party leader that audiences could “make up their own mind” about a film he disliked.

The Vigor of Confederacies

2021 ◽  
pp. 78-92
Author(s):  
Robin Waterfield
Keyword(s):  
Third Century ◽  
Ancient Greek ◽  
Federal States ◽  
Central Greece ◽  
The Third ◽  
Set Up ◽  
Almost All ◽  
Familiar Form

The chief way in which the Greeks united in the third century in order to be able to offer resistance to Macedon was by forming large federal states. The two greatest of these were based in Achaea and in Aetolia, but both quickly spread well beyond these ethnic borders. “Aetolia” came to mean almost all of central Greece, and “Achaea” much of the Peloponnese. I discuss the differences between confederacies and the most familiar form of ancient Greek polity, the polis, and show how confederacies gained their strengths, before focusing on the structures set up by the Aetolians and Achaeans. By the time Antigonus came to the Macedonian throne, the Achaeans were on the rise, but the Aetolians were already a powerful threat. They had spearheaded the Greek repulsion of the Celts from central Greece, thus preserving Delphi, the most important of the Greeks’ common religious centers, and they used this as a springboard for further expansion. Antigonus treated them warily throughout his reign.

Legal ethics

2018 ◽  
Author(s):  
Richard Tur
Keyword(s):  
Conflict Of Interest ◽  
Ethical Issues ◽  
Applied Ethics ◽  
Legal Ethics ◽  
Role Morality ◽  
The Third ◽  
Integral Element ◽  
Principles And Standards ◽  
Set Up

Legal ethics can be considered from at least three related viewpoints. First, as ‘professional ethics’, it is a corpus of rules, principles and standards, often embodied in a written code and disseminated, applied and enforced by appropriate governing bodies as a guide to the professional conduct of lawyers. Legal professions set up specific institutions and officers to monitor and assist practitioners and to accumulate experience and expertise in applying detailed provisions in morally complex situations. For some commentators this is primarily regulation or administration and not ethics at all, but for others it is ethics in action or ‘applied ethics’. ‘Applied ethics’ is the second aspect of legal ethics, distinguished from ethics in general by the focus on ethical issues in the context of legal practice, including confidentiality, conflict of interest or acting for a morally disreputable client. Interesting though such questions may be in themselves, some writers do not acknowledge that they are truly questions of ethics, because the duties and privileges of specialist functional groups generally and lawyers in particular are not universalizable. For others, including some feminist ethicists, the ‘agent as such’ does not exist and we all encounter moral difficulties and problems, if we encounter them at all, only in the context of some specific relationship or role, for example in the role of a lawyer. Legal ethics thus requires an analysis of role morality. The third aspect of legal ethics is as an integral element in general philosophical and legal education.

Bridging Critical Constructivism and Postphenomenology at Techno-Anthropology

2020 ◽  
Vol 24 (1) ◽  
pp. 218-246 ◽  
Author(s):  
Tom Børsen ◽  
Keyword(s):  
Research Strategy ◽  
Special Focus ◽  
Master's Program ◽  
Master's Students ◽  
The Third ◽  
Critical Constructivism ◽  
Anthropological Research ◽  
Guest Lecturer ◽  
Set Up ◽  
Point Of Departure

Both postphenomenology and critical constructivism are central paradigms used as philosophies and theoretical resources at the Master’s program in Techno-Anthropology at Aalborg University. In the fall of 2018 a didactical experiment was set up as Techno-Anthropology Master’s students were introduced to postphenomenology and critical constructivism and asked to compare these two theoretical positions. This comparative assignment and following class discussions between students, a guest lecturer and teachers is the point of departure for this paper. First, the paper introduces Techno-Anthropology with a special focus on the roles of postphenomenology and critical constructivism in the Master’s program. The next part of the paper zooms in on how these two philosophical positions were presented to the students. The third part analyzes students’ comparisons of postphenomenology and critical constructivism. On that basis, the author identifies similarities and differences between the two positions and discusses how the two positions can complement each other in a unified Techno-Anthropological research strategy.

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