scholarly journals Contact manifolds, Lagrangian Grassmannians and PDEs

2018 ◽  
Vol 5 (1) ◽  
pp. 26-88
Author(s):  
Olimjon Eshkobilov ◽  
Gianni Manno ◽  
Giovanni Moreno ◽  
Katja Sagerschnig

Abstract In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called Lagrangian Grassmannian bundle over the latter. This work is based on a Ph.D course given by two of the authors (G. M. and G. M.). As such, it was mainly designed as a quick introduction to the subject for graduate students. But also the more demanding reader will be gratified, thanks to the frequent references to current research topics and glimpses of higher-level mathematics, found mostly in the last sections.

Author(s):  
Mario Luis Small

This chapter reviews the literature that probed people’s decisions about whom to turn to when they need a confidant and discusses reasons for considering an alternative. It first provides a historical overview of research on the subject before analyzing how the claim that people will turn to those they are close to when they have important matters to discuss is linked to the ideas about the differences between strong and weak ties. It also cites three reasons to doubt the notion that people will turn to strong ties when seeking confidants as consistently as they say they do. The chapter concludes by explaining the rationale for studying the experiences of graduate students who were forced to make decisions about whom to talk to when they needed someone to talk to.


Author(s):  
Margot Horspool ◽  
Matthew Humphreys ◽  
Michael Wells-Greco

Titles in the Core Text series take the reader straight to the heart of the subject, providing focused, concise and reliable guides for students at all levels. The eleventh edition of European Union Law provides a systematic overview of the European institutions and offers thorough, wide-ranging coverage of the key substantive law topics, including separate chapters on competition, discrimination, environmental law and services. It also features a new chapter on the EU and its relationship with third countries, including the UK. Incisive analysis of the governing themes and principles of EU law is consistently delivered, while chapter summaries, critical questions, further reading suggestions and the new ‘Brexit checklist’ feature help to guide the reader through the subject and support further research. Topics covered also include supremacy and direct effect, the European Courts, general principles, free movement of goods and persons and citizenship.


2017 ◽  
Vol 4 (2) ◽  
Author(s):  
Mr. Awin A. Akolkar

The present study is conducted to measure religiosity and stress of graduate students belonging to gender living in Marathwada. The investigators employed one independent variables, gender can influence the religiosity and stress of students. The study was carried out on the sample of graduate students. To measure the religiosity and stress the researcher used the standardized scale of Bhusan and Bisht Battery of stress. The sample consisted of 100 students, out of which, 50 were males and 50 females. The findings of the study revealed that there is significant difference in the religiosity and stress of undergraduate students. Correlation between religiosity and stress is not significant found.


Author(s):  
Sergey V. Malanov ◽  
◽  
Marina S. Polyakova ◽  

In the article describes the influence of syntactic organization of speech utterances on peculiarities of actualization and reproduction of their subject-semantic content (meanings). There has been tested the hypotheses that the semantic content of subjects, predicates, and objects is reproduced more efficiently: 1) when attributes are used in the composition of statements with nouns (subjects and objects), and with verbs (predicates) – adverbial modifiers; 2) when there is a deliberate focus on highlighting the semantic content of nouns or verbs in the composition of statements. The methods of varying lexical and syntactic means in the text composition presented to respondents were used as independent variables. The language means respondents used to manifest fragments of semantic content were analyzed as dependent variables. The study involved 90 respondents (72 men, 18 women) aged 25-40. While the first hypothesis has been confirmed, the second still requires additional research. The results obtained indicate that in updating and reproducing the subject-semantic content of speech utterances it is the attribution of signs and properties to objects and processes that is of great importance.The experimental organization scheme used in the study reveals a wide range of patterns that can serve to confirm / refute various hypotheses and theoretical models in psycholinguistics.


2018 ◽  
Vol 2 (1) ◽  
Author(s):  
Olivia H Wilkins ◽  
Camillus F Buzard

A major challenge in teaching is helping students integrate course concepts to understand the big picture of a field and apply those concepts in new situations. To address this challenge in a tutorial course about astrochemistry (taught by graduate students to chemistry undergraduates), we implemented a progressive writing assignment that culminated in a final presentation. In the progressive writing assignment, students chose an astrochemistry topic they found interesting to be the subject of three sequential papers, which became the basis for their presentations. The purpose of this assignment was to gradually introduce chemistry students to research areas in astronomy, which is by nature outside the general chemistry curriculum, while also providing students with regular feedback. Over the course of the assignment, students applied key themes in the course—significance of astrochemistry research, research methods, and chemistry in astronomical environments—separately to their chosen topics before explaining in the final presentation how these different aspects of astrochemistry work together. By incorporating stories and anaologies, rather than just facts, students gave presentations that were accessible to a novice audience. As a result, students explained broader impacts of astrochemistry research, rather than just focusing on results, and they entertained questions with answers that went beyond clarification of the material discussed.


1980 ◽  
Vol 102 (3) ◽  
pp. 738-746 ◽  
Author(s):  
D. Adler

Recent developments in internal viscous aerodynamics of centrifugal impellers and related flows are critically reviewed. The overall picture which emerges provides the reader with a state-of-the-art perspective on the subject. Gaps in understanding are identified to stimulate future research. Topics included in this review are: experimental work carried out in the last decade, the structure of turbulence in curved rotating passages and solution of viscous flow problems in impellers.


Author(s):  
Cigdem Issever ◽  
Ken Peach

The context of a presentation determines, or should determine, how you approach its preparation. The context includes many things, the audience, the purpose of the presentation, the occasion, what precedes the presentation and what follows from it. It will define what you expect from the audience, and will influence how you prepare yourself for the talk. A simple example. Suppose that you have been invited to give a series of lectures at a summer school. What more do you need to know, other than the topic? Here are a few of the questions that you need to have answered before you can start planning the course. 1. Is it an introductory course aimed at graduate students in their first year, or is it an advanced course more suited to graduates in their final year and young postdoctoral researchers? 2. Are the participants expected to ask questions during the lecture, or wait until the end? 3. Will there be any problem classes or discussion sessions? 4. Will lecture notes be handed out to participants before or after the lecture? 5. Will the proceedings be published, and if so, when? 6. What are the other lecture courses going to cover? 7. Will the basic theory already have been covered, or are they expected to know it already, or should you spend half of the first lecture going over it, just in case some have not seen it before? 8. If it is your job to give the basic introductory lectures, should you follow the standard approach in the usual text books, or should you assume that they have already covered that ground and try to give them more insight into the subject? 9. Will any of the lectures that come later in the school make any assumptions about what they have learned in your lectures? 10. Is there a social programme? If so, are you expected to participate in the activities and discuss the subject informally with the participants (which, from our experience, is always much appreciated), or can you spend most of the time in your room writing the next lecture?


2020 ◽  
Vol 12 (1) ◽  
pp. 424 ◽  
Author(s):  
Izabela Kwil ◽  
Katarzyna Piwowar-Sulej ◽  
Małgorzata Krzywonos

Local food production is meaningful not only for a single producer but also for the consumer, and finally for the entire region. Therefore, it would be beneficial to take up the issue of local entrepreneurship in the context of food production. The aim of the study was to analyze important terms, research topics, and research results related to the issue of local entrepreneurship in the context of food production. Literature review revealed definitional discrepancies related to the subject of the study. Thus, the need to create an unambiguous definition of local food and local entrepreneurship was emphasized. Own definitions of these issues were provided. Most of the available publications are devoted to local food produced in selected countries. In the analyzed research papers, the problem of local food is most often correlated with marketing or health-promoting properties of local food. A research gap was identified: suggestions were made in regards to the research problems worth bringing up in empirical research in the interest of activating local entrepreneurship.


2018 ◽  
Vol 29 (04) ◽  
pp. 1850026 ◽  
Author(s):  
Mirko Klukas

Given two open books with equal pages, we show the existence of an exact symplectic cobordism whose negative end equals the disjoint union of the contact manifolds associated to the given open books, and whose positive end induces the contact manifold associated to the open book with the same page and concatenated monodromy. Using similar methods, we show the existence of strong fillings for contact manifolds associated with doubled open books, a certain class of fiber bundles over the circle obtained by performing the binding sum of two open books with equal pages and inverse monodromies. From this we conclude, following an outline by Wendl, that the complement of the binding of an open book cannot contain any local filling obstruction. Given a contact [Formula: see text]-manifold, according to Eliashberg there is a symplectic cobordism to a fibration over the circle with symplectic fibers. We extend this result to higher dimensions recovering a recent result by Dörner–Geiges–Zehmisch. Our cobordisms can also be thought of as the result of the attachment of a generalized symplectic [Formula: see text]-handle.


2015 ◽  
Vol 5 (6) ◽  
pp. 1-17
Author(s):  
Hari Narain Singh ◽  
D.K. Singh

Subject area This paper aims to understand the subject of entrepreneurship and project management through techno-economic intervention. Study level/applicability Postgraduate students of management and graduate students of engineering and management. Case overview Multiple challenges existed at the ground level in the Moradabad Brass Cluster in terms of gaps in technology, skill, infrastructure and market that all needed to be improved upon. Expected learning outcomes The objectives and learning outcomes were proposed to understand the cluster economic crisis, entrepreneurship, project management, technical improvements and better understanding of certain theories. Supplementary materials Teaching notes are available for educators only. Please contact your library to gain login details or email [email protected] to request teaching notes.


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