Let R be any of the following rings: the smooth functions on R^2n with the Poisson bracket, the Hamiltonian vector fields on a symplectic manifold, the Lie algebra of smooth complex vector fields on C, or a variety of rings of functions (real or complex valued) over 2nd countable spaces. Then if H is any other Polish ring and φ:H →R is an algebraic isomorphism, then it is also a topological isomorphism (i.e. a homeomorphism). Moreover, many such isomorphisms between function rings induce a homeomorphism of the underlying spaces. It is also shown that there is no topology in which the ring of real analytic functions on R is a Polish ring.

ABSTRACT In 2015, an Agreement was made in Paris at the 21st conference of the Parties of the UN. The purpose of the Paris Agreement was to collectively target climate change and keep the global warming under 2°C. Since then, the strength of this Agreement has been evaluated in numerous ways, optimists and pessimists present arguments for different theories and opinions. While some argue that the agreement is too weak because of its non-binding features and vagueness, others argue that the very same vagueness has opened up a new door. To contribute with a new perspective, the aim of this study is to describe and analyse different conceptions of nature in the Nationally Determined Contributions submitted to the Paris Agreement by Parties who signed it. Based on previous research about different conceptions of nature, an analytical framework is built and used through a text analysis of some of the Contributions. The findings of this qualitative, descriptive case study are meant to create a deeper understanding of the Contributions made to the Paris Agreement, describing if different conceptions of nature are found and whether this affects the way the Parties aim to tackle the climate crisis.

This mixed-methods study looked at the relationship between self-determined motivation and strength improvements in an off-season strength and conditioning program. The Intrinsic Motivation Inventory (IMI; Ryan, 1982), which assesses motivation according to the tenets of Self-Determination Theory (SDT; Deci & Ryan, 1985) measured self-determined motivation in this study. Strength was measured by the Epic Strength Index (ESI; Epley, 2004), which factors the amount of weight lifted along with the bodyweight and gender of the athlete to determine a strength index. Strength improvement was measured as the difference between ending and beginning ESI scores. The participants consisted of one-hundred-twenty-seven male and female athletes ranging between 14-22 years of age and representing a variety of sports including several multi-sport athletes. Each participant was tested in the Power Clean, Bench Press, and Squat at the beginning and end of the program as part of their regular training program. During the second week of the program, the athletes completed the IMI. The amount of weight each athlete lifted in each of the three weightlifting exercises was computed by the ESI yielding an individual strength index for each lift, along with a total score for all three lifts. Correlation and regression analyses revealed a significant relationship between self-determined motivation and strength improvements. The average of all IMI scores independently predicted 50.65% of the variance in strength improvements. Correlation analysis also showed significant relationships for gender and age on ESI improvements, in that females and younger athletes tended to improve more. When a regression analysis accounting for the effects of gender and age on strength improvements was performed, Self-determined motivation still predicted 49.54% of the improvements. At the conclusion of the study, eight of the athletes participated in qualitative interviews. The eight participants represented two male and two female participants from both the top and bottom quartiles of average IMI scores. The qualitative interviews from the work of Hassandra, Goudas, and Chroni (2003) and Vazou, Ntoumanis, and Duda (2005) who used qualitative analysis to study differences in motivational patterns of secondary physical education students and 14 to 16 year-old athletes respectively. The interview questions were formulated to determine factors that affected the initial decision to participate in the program, as well as to discern differences among the top and bottom quartiles participants. The qualitative analysis revealed many similarities and some differences between those in the top and bottom quartiles of motivation. Athletes in both categories mentioned motivation for improvement as the prime reason for participation and as a rewarding aspect of the program. Also common to both groups of athletes was the important role of teammates and coaches in deciding to participate in this program. The main difference between the top and bottom quartiles was in the discussion of "least enjoyed aspects of the program" and "difficulties of the program". While those in the top quartile of motivation reported to that they mostly liked the program and mentioned only transportation as a difficulty of the program, those in the bottom quartile provided a wide variety of responses to these questions.

A determinação dos invariantes numéricos associados a germes de aplicações diferenciáveis é uma ferramenta muito útil no estudo de problemas de equisingularidade em famílias. Em geral, estes invariantes são obtidos algebricamente através de esquemas r-dimensionais, que surgem nos tipos estáveis de uma perturbação estável do germe. Neste trabalho é feito um estudo sobre estes invariantes nos tipos estáveis de germes de aplicações holomorfas f : (Cn,0) em (Cn,0) finitamente determinados de coposto 1. Inicialmente é feita uma caracterização completa de todos os tipos estáveis, bem como de sua geometria. Como aplicações são estudados os invariantes no discriminante de germes quase homogêneos. São descritas fórmulas para os invariantes 0-stáveis de germes de (Cn,0) em (Cn,0). Estes resultados são aplicados para o cálculo das multiplicidades polares do discriminante de germes quase homogêneos de (C3,0) em (C3,0). / The determination of the numerical invariants associated to map germs is a helpful tool in the study of problems of equisingularity in families. In general, these invariants are given as zero schemes, that appear in the stable types of a stable perturbation of the germ. In this work we study the invariants in the stable types of corank one finitely determined holomorphic map germs f : (Cn,0) to (Cn,0). First we completely characterize all stable types and study their geometry. As applications are studied the invariants in the discriminant of weighted homogeneous germs. Formulas are described for the 0-stable invariants of map germs of (Cn,0) to (Cn,0) and these results are applied to compute the polar multiplicities of the discriminant of weighted homogeneous germes of (C3,0) to (C3,0).

Emotional intelligence and self-determined motivation have been independently identified as important personal variables that are liable to foster optimal work functioning. However, the relationship between these two variables has never been assessed. Furthermore, research has also provided evidence that supervisor support, a social variable, is considered to be a significant source of influence on self-determined behaviour regulation. Thus the primary objective of the project was to jointly assess emotional intelligence and supervisor support as antecedents of self-determined work motivation; secondly, to assess the associations of self-determined work motivation on work outcome variables and psychological welfare; and thirdly, to examine the association between emotional intelligence and psychological well-being on 512 police source handlers. Specifically, it was proposed that emotional intelligence would be positively associated to self-determined work motivation and would display a unique association with work motivation, once the variance from supervisor support has been controlled for. It was further proposed that self-determined work motivation would, in turn, be positively associated with positive work outcomes; specifically, job satisfaction, job performance, future work intentions, and psychological well-being. Lastly, it was hypothesized that emotional intelligence would be positively associated to psychological well-being. Data was analyzed using structural equations modeling. Results revealed that emotional intelligence and supervisor support were both uniquely associated with work motivation. Together, these two variables explained a high proportion of the variance of work motivation. Work motivation, in turn, was positively associated with job satisfaction, job performance, future work intention, and psychological well-being. Emotional intelligence and psychological well-being were also positively associated. Overall, the findings of this thesis provide a basis for future research aimed at determining the causal relationship between emotional intelligence and self-determined motivation. It is further suggested that findings gleaned from this study can provide a better understanding of how certain interpersonal behaviours can impact specific work outcomes, which can provide researchers and practitioners with information to improve individual and organizational outcomes of interest.

Emotional intelligence and self-determined motivation have been independently identified as important personal variables that are liable to foster optimal work functioning. However, the relationship between these two variables has never been assessed. Furthermore, research has also provided evidence that supervisor support, a social variable, is considered to be a significant source of influence on self-determined behaviour regulation. Thus the primary objective of the project was to jointly assess emotional intelligence and supervisor support as antecedents of self-determined work motivation; secondly, to assess the associations of self-determined work motivation on work outcome variables and psychological welfare; and thirdly, to examine the association between emotional intelligence and psychological well-being on 512 police source handlers. Specifically, it was proposed that emotional intelligence would be positively associated to self-determined work motivation and would display a unique association with work motivation, once the variance from supervisor support has been controlled for. It was further proposed that self-determined work motivation would, in turn, be positively associated with positive work outcomes; specifically, job satisfaction, job performance, future work intentions, and psychological well-being. Lastly, it was hypothesized that emotional intelligence would be positively associated to psychological well-being. Data was analyzed using structural equations modeling. Results revealed that emotional intelligence and supervisor support were both uniquely associated with work motivation. Together, these two variables explained a high proportion of the variance of work motivation. Work motivation, in turn, was positively associated with job satisfaction, job performance, future work intention, and psychological well-being. Emotional intelligence and psychological well-being were also positively associated. Overall, the findings of this thesis provide a basis for future research aimed at determining the causal relationship between emotional intelligence and self-determined motivation. It is further suggested that findings gleaned from this study can provide a better understanding of how certain interpersonal behaviours can impact specific work outcomes, which can provide researchers and practitioners with information to improve individual and organizational outcomes of interest.

Investigating the Relationship of Work-Family Conflicts Through the Self-Determination Theory Abstract: Interpersonal climates influence motivation of both family and work-related activities in the family and the workplace. Within the family, the feeling of being valued by one's partner directly affects a person¡¦s self-determination, while at the same time within the workplace, the feeling of being autonomy-supported by one's employer will affect one¡¦s self-determined motivation towards work related activities. If people had a high level of self-determination, they would be able to decide for themselves which activities to devote themselves to and would do so in high spirits, thus making it difficult for family alienation to occur. Nevertheless, once the phenomenon of family alienation occurs, one is no longer able to obtain family support and approval, thus is stripped of self-merit. Moreover, this phenomenon will also produce feelings of loneliness, frustration, which in turn influences the experience of work-family conflict. Ultimately in the end, work-family conflict leads to job burnout. This research uses Kaohsiung high school teachers as the subject of study, focusing primarily on how personal relationships affect self-determined motivation within the family and the workplace. Moreover, low levels of self-determined motivation in both the family and the work place leads to family alienation. Furthermore in discussing the relations among family alienation, work-family conflicts, job burnout, the factors of gender, age, position and the nature of the school were used to investigate and analyze the effects of interference of feeling valued by one's partner, feeling of being autonomy-supported by one's employer, motivation towards family activities, motivation towards work, family alienation, work-family conflicts, and job burnout. This research uses the method of survey questionnaire, and is analyzed with various methods of statistical analysis. The important discoveries are stated as follows: A. It was found that Kaohsiung teachers who had a strong feeling of being valued by one's partner within the family environment, also had a high level of self-determined motivation and therefore lessened the occurrence of family alienation. B. It was found that Kaohsiung teachers who did not have a strong feeling of being autonomy-supported by one's employer within the workplace but had adequate acceptance, possessed a lower self-determined motivation and less motivation towards work; Thereby making it easier for family alienation to occur. C. Taking care of children was the main factor leading to work-family conflict for Kaohsiung teachers¡¦. D. Family-work interference was the main factor leading to job burnout for Kaohsiung teachers. E. It was found that family alienation produces work-family conflicts and thus ultimately leading to job burnout. F. The interference effect of gender. 1. The interaction of motivation towards work activities and gender has an interference effect on family alienation. 2. The interaction of self-determined motivation towards work and gender has an interference effect on family alienation, work-family conflicts, and job burnout. G. The interference effect of occupational position 1. The interaction of Motivation towards family activities and occupational position has an interference effect on family alienation. 2. The interaction of self-determined motivation towards family and occupational position has an interference effect on family alienation, work-family conflicts, and job burnout. H. The interference effect of age 1. The interaction of motivation towards family activities and age has an interference effect on family alienation. 2. The interaction of self-determined motivation towards work and age has an interference effect on job burnout. I. It was found that effects of cultural difference between western and eastern culture created different methods for solving work-family conflicts. J. It was found that differing results produced from eastern and western cultural caused variations towards gender. Keyword: self-determined motivation, family alienation, work-family conflict, job burnout

Magistro darbe nagrinėjamos AB DnB Nord banko teikiamos paslaugos, nustatomos banko plėtros galimybės. Remiantis Lietuvos ir užsienio autorių moksline literatūra, apžvelgiama bankininkystės raida, apibendrinama bankų veikla, išanalizuojamas pagrindinių bankų paslaugų organizavimas. Atliktas banko teikiamų paslaugų paklausos bei kokybės tyrimas, pasinaudojus anketine apklausa. Remiantis tyrimu, įvertinta AB DnB Nord banko teikiamų paslaugų kokybė, numatytos banko plėtros galimybės. Pasitvirtino autorės suformuluota mokslinio tyrimo hipotezė, kad naujų paslaugų pasiūlymas gali paskatinti vartotojus aktyviau naudotis AB DnB Nord banko teikiamomis paslaugomis. / Services offered by the AB DnB Nord bank are analysed and its potentiality of the expansion is determined in the master‘s work. Referring to the scientific litarature of Lithuanian and foreign authors, the development of banking and its activity is generalised and organisation of the principal services is analysed. The research of the demand and quality of the services is done using an inquiry form. According to the survey, the quality of the services offered by the AB DnB Nord bank is evaluated and the potentiality of the expansion is planned. The author‘s hypothesis of the scientific research that the offer o new services can motivate the consumers to use the services of the AB DnB Nord bank more active, has proved out.

Emotional intelligence and self-determined motivation have been independently identified as important personal variables that are liable to foster optimal work functioning. However, the relationship between these two variables has never been assessed. Furthermore, research has also provided evidence that supervisor support, a social variable, is considered to be a significant source of influence on self-determined behaviour regulation. Thus the primary objective of the project was to jointly assess emotional intelligence and supervisor support as antecedents of self-determined work motivation; secondly, to assess the associations of self-determined work motivation on work outcome variables and psychological welfare; and thirdly, to examine the association between emotional intelligence and psychological well-being on 512 police source handlers. Specifically, it was proposed that emotional intelligence would be positively associated to self-determined work motivation and would display a unique association with work motivation, once the variance from supervisor support has been controlled for. It was further proposed that self-determined work motivation would, in turn, be positively associated with positive work outcomes; specifically, job satisfaction, job performance, future work intentions, and psychological well-being. Lastly, it was hypothesized that emotional intelligence would be positively associated to psychological well-being. Data was analyzed using structural equations modeling. Results revealed that emotional intelligence and supervisor support were both uniquely associated with work motivation. Together, these two variables explained a high proportion of the variance of work motivation. Work motivation, in turn, was positively associated with job satisfaction, job performance, future work intention, and psychological well-being. Emotional intelligence and psychological well-being were also positively associated. Overall, the findings of this thesis provide a basis for future research aimed at determining the causal relationship between emotional intelligence and self-determined motivation. It is further suggested that findings gleaned from this study can provide a better understanding of how certain interpersonal behaviours can impact specific work outcomes, which can provide researchers and practitioners with information to improve individual and organizational outcomes of interest.

Doctor of Philosophy / Department of Mathematics / Alexander G. Ramm / In this dissertation, the author presents two independent researches on inverse problems: (1) creating materials in which heat propagates a long a line and (2) 3D inverse scattering problem with non-over-determined data. The theories of these methods were developed by Professor Alexander Ramm and are presented in Chapters 1 and 3. The algorithms and numerical results are taken from the papers of Professor Alexander Ramm and the author and are presented in Chapters 2 and 4.