Ce travail constitué de trois chapitres cherche à analyser l’impact du salaire minimum sur l’économie des départements français d’Amérique en se limitant aux effets sur la distribution des revenus et la croissance économique.Dans le premier chapitre, l’accent est mis sur les inégalités salariales telles qu’elles existent aux Antilles-Guyane, en comparaison avec la situation en France métropolitaine. Les inégalités de revenus restent fortes entre les catégories socioprofessionnelles dans les DFA. Le salaire moyen de l’ensemble des salariés de France métropolitaine est supérieur à celui des DFA.Le second chapitre présente tout d’abord les aspects historiques et réglementaires qui caractérisent le salaire minimum français et celui d’autres pays d’Europe. Le SMIC se classe en quatrième position parmi les salaires minimum les plus élevés d’Europe, et la France, le pays développé comptant la plus forte proportion de salariés au SMIC. Dans les Départements Français d’Amérique, les salariés payés au SMIC, bien plus nombreux en proportion qu’au niveau national, sont le plus souvent des femmes, des jeunes, des personnes peu qualifiées occupant un emploi à temps partiel dans les secteurs des services et du commerce. Il met également en évidence les effets du salaire minimum et de ses revalorisations sur la formation des salaires et le coût du travail. Les effets de diffusion du SMIC sont faibles et temporaires, variant de 0,1 à 0,2% tant en approche macroéconomique que microéconomique. Les hausses du SMIC entraînent une augmentation du coût du travail pour partie compensée par les allègements de charges octroyés aux entreprises.Le troisième chapitre contribue à la mise en lumière des interactions entre le salaire minimum, la croissance économique et la pauvreté dans la société Antillo-guyanaise. Il s’avère que le dynamisme de l’économie insulaire est loin d’avoir gommé tous les écarts de niveau de vie entre les DFA et la France métropolitaine, malgré l’alignement du salaire minimum et des prestations diverses. La simulation sur les données de l’enquête Budget de famille 2006 montre que la proportion de salariés au SMIC est faible dans le bas de l’échelle des revenus. Ces salariés sont répartis sur l’ensemble de l’échelle des niveaux de vie. Le SMIC occupe une place relativement importante dans le revenu disponible des ménages, y compris dans le haut de l’échelle des revenus.En conclusion, le niveau élevé du salaire minimum dans les départements français d’Amérique conduit au maintien d’un grand nombre de salariés payés au voisinage du SMIC. En dépit des allègements de cotisations sociales abaissant le coût du SMIC, les départements d’outre-mer demeurent des régions fortement touchées par le chômage et la pauvreté. De plus, les inégalités salariales se sont accrues entre les individus les plus modestes et les plus aisés de ces régions. La montée du chômage est un facteur aggravant de cet accroissement des inégalités. Si en effet, les résultats de notre étude permettent d’affirmer que le SMIC n’est pas le meilleur instrument pour lutter contre les inégalités salariales et la pauvreté, ils soulèvent en même temps la question d’un SMIC DOM en lien avec les conditions et capacités réelles des économies ultramarines. / This work consists of three parts seeking to analyze the impact of minimum wages on the French departments of America's economy by limiting the effects on the distribution of incomes and economic growth.In the first chapter, the focus is an overview of income inequality as they exist in the Antilles and Guiana, in comparison with the situation in France. Income inequalities remain high between occupational groups in the DFA. The average salary of all employees in mainland France is higher than the DFAThe second chapter first presents the historical and regulatory aspects that characterize the French minimum wage and that of other European countries. SMIC is the fourth highest minimum wage in Europe, and France developed country with the highest proportion of employees the minimum wage. In the French Departments of America, employees paid the minimum wage, many more in proportion than at national level, are most often women, youth, low-skilled people employed part-time in the service sectors and trade. It also highlights the impact of the minimum wage and its revaluation on the formation of wages and labor costs. SMIC diffusion effects are small and temporary, varying from 0.1 to 0.2% in both macroeconomic and microeconomic approach. The increases in the minimum wage lead to higher labor costs partly offset by expense reductions granted to companies. The third chapter contributes to highlighting the interaction between the minimum wage, economic growth and poverty in the Antillean-Guyanese society. It turns out that the dynamism of the island economy has all but erased all living differentials between overseas departments and metropolitan France, despite the alignment of the minimum wage and various benefits. The simulation on data from the 2006 survey of “Budget of families” shows that the proportion of employees with the minimum wage is low in the bottom of the income scale. These employees are spread over the entire scale of living. SMIC has an important place in household disposable income, including the top of the income scale.In conclusion, the high level of the minimum wage in the French departments of America led to the maintenance of a large number of employees paid near the minimum wage. Despite cuts in social security contributions lowering the cost of SMIC, departments remain areas with high unemployment and poverty. Moreover, wage inequality increased between the poorest and the wealthiest individuals in these areas. Rising unemployment is an aggravating factor of the increase in inequality. Since the results of our study make it possible to affirm SMIC is not the best tool to fight again wage inequalities and poverty, they also raise the question of a SMIC DOM linked with the real conditions and capacities of the overseas economies.

Grothendieck published an extraordinary paper entitled ”Resume de la theorie metrique des pro¬duits tensoriels topologiques” in 1953. The main result of this paper is the inequality which is commonly known as Grothendieck Inequality. Following Kirivine, in this article, we give the proof of Grothendieck Inequality. We refor¬mulate it in different forms. We also investigate the famous Grothendieck constant KG. The Grothendieck constant was achieved by taking supremum over a special class of matrices. But our attempt will be to investigate it, considering a smaller class of matrices, namely only the positive definite matrices in this class. Actually we want to use it to get a counterexample of Matsaev’s conjecture, which was proved to be right by Von Neumann in some specific cases. In chapter 1, we shall state and prove the Grothendieck Inequality. In chapter 2, we shall introduce tensor product of vector spaces and different tensor norms. In chapter 3, we shall formulate Grothendieck Inequality in different forms and use the notion of tensor norms for its equivalent formation .In the last chapteri.ein chapter4we shall investigate on the Grothendieck constant.

Cette thèse a un double objectif. En premier lieu, elle présente les méthodes ayant permis de construire deux bases de données historiques relatives aux départements français. La première met à disposition les tables de mortalité départementales sur la période 1901-2014. La seconde permet de disposer des distributions départementales de revenu sur la période 1960-2014. En second lieu, cette thèse présente les travaux issus de l'utilisation conjointe de ces deux bases de données et d'autres statistiques: ils concernent aussi bien les dynamiques longues des inégalités spatiales que certains évènements historiques. Ainsi, l'analyse de la répartition spatiale de la population depuis le milieu du 19eme siècle permet de comprendre à la fois la dynamique induite par l'exode rural, mais aussi par les nouvelles tendances des migrations d'aujourd'hui, différentes selon les âges. L'analyse des inégalités de mortalité depuis 200 ans montre quant à elle que les inégalités ont largement baissé depuis la fin du 19ème siècle, alors que la géographie de la surmortalité a profondément changé. Enfin, l'analyse des inégalités spatiales de revenus révèle une baisse continue des inégalités depuis les années 1920, baisse qui n'intervient que depuis 1950 si l'on introduit les inégalités de mortalité dans un indicateur synthétique de bien-être. La thèse se conclut par l'analyse des migrations internes durant la seconde guerre mondiale : leur caractère à la fois massif et à destination de la zone libre témoigne aussi bien de l'impact qu'a eu cet évènement sur la démographie française que de la formidable quête de la liberté des français de l'époque, peu entravée par la ligne de démarcation. / This thesis has a dual purpose. First, it presents the methods used to build two new historical databases relating to departments. The first database provides the departmental lifetables for the period 1901-20-14. The second database provides the departmental distributions of income over the period 1960-2014. Second, this thesis presents the first work resulting from the joint use of these two databases and other statistics: they concern both the dynamics of spatial inequalities and some specific historical events. Thus, the analysis of the spatial distribution of the population since the middle of the 19th century allows to understand the dynamics induced by the rural exodus, but also by the new trends of today's migrations. The analysis of mortality inequalities over the last 200 years shows that inequalities have fallen dramatically since the end of the 19th century, while the geography of excess mortality has changed. Finally, the analysis of spatial income inequalities reveals a continuous decline since the 1920s. This decline occurred only since 1950 spatial inequalities are observed using a synthetic indicator of welfare, combining both mortality inequalities and income inequalities. The thesis ends with the analysis of internal migrations during the Second World War: these migrations were massive, and clearly oriented towards the free zone. These results testify both to the impact of this event on French demography, and to the quest for freedom of the French of that time, little hampered by the demarcation line.

Η παρούσα διατριβή εντάσσεται ερευνητικά στην περιοχή της μη γραμμικής ανάλυσης και ειδικότερα στην εύρεση βέλτιστων σταθερών για ανισότητες Sobolev στο χώρο Rn με ανώτερης τάξης δεκαδικές παραγώγους. Επίσης, δίνονται οι αντίστοιχες βέλτιστες σταθερές αυτών των ανισοτήτων πάνω στη σφαίρα Sn με τη χρησιμοποίηση ως βασικού εργαλείου την στερεογραφική προβολή. Τέλος, σαν μια εφαρμογή των ευρεθέντων ανισοτήτων έχουμε ένα θεώρημα σχετικό με αυτό των Rellich-Kondrashov και το οποίο είναι εξαιρετικής σημασίας, ιδιαίτερα στο λογισμό των μεταβολών.

Despite the existence of effective treatments, mental health care disparities exist in the availability, accessibility, and quality of services for racial and ethnic minority groups. People living with serious mental complaints often resist engaging in treatments and experience high rates of dropout; poor engagement can lead to worse clinical outcomes. Addressing the complex mental health care needs of racial and ethnic minorities warrants considering evidence-based strategies to help reduce disparities. This systematic review sought to provide an analysis of published literature about the barriers and effective strategies in identifying and treating minority patients with mental health disorders. The practice-focused question of this systematic review was: What are the barriers and effective strategies to identification and treatment of mental health disorders among minority populations. This project was guided by PRISMA and SQUIRE guidelines and Fineout-Overholt and Melnyk’s appraisal form, comprising 11 studies published between 2014 and 2019, identified through Thoreau, Cochrane, CINAHL with Medline, EBSCO, and ProQuest, SAMHSA and PubMed databases. The systematic review results recommend intervention strategies such as integrated/collaborative care, workforce diversity, providers in minority neighborhoods, improving providers’ cultural skills, and stigma reduction to help reduce mental health care disparities. These findings are significant to lowering the gap in practice and can be used by the entire health care system to improve mental health care, thereby leading to a positive social change. Implementing these strategies would benefit patients, families, their communities, and the entire health care delivery system.

Equitable access to essential medicines is a major challenge for policy-makers world-wide, including Central and Eastern European countries. This study analyses whether socioeconomic determinants influence the use of prescribed and non-prescribed medicines in eight Central and Eastern European countries (Bulgaria, Czech Republic, Hungary, Latvia, Poland, Romania, Slovenia, Slovakia). Further, the study discusses observed (in)equalities in medicine use in the context of the pharmaceutical policy framework and the implementation in these countries. The study is based on cross-sectional data from the first wave of the European Health Interview Survey (2007-2009). Multivariate logistic regression analyses were carried out to determine the association between socioeconomic status and medicine use (prescribed and non-prescribed medicines). This was supplemented by a pharmaceutical policy analysis based on indicators in four policy dimensions (sustainable funding, affordability, availability and accessibility, and rational selection and use of medicines). Overall, the analysis showed a gradient favouring individuals from higher socioeconomic groups in the consumption of non-prescribed medicines in the eight surveyed countries, and for prescribed medicines in three countries (Latvia, Poland, Romania). The pharmaceutical systems in the eight countries were, to varying degrees, characterized by a lack of (public) funding, thus resulting in high and growing shares of private financing (including co-payments for prescribed medicines), inefficiencies in the selection of medicines into reimbursement and limitations in medicines availability. Pharmaceutical policies aiming at reducing inequalities in medicine use require not only a consideration of the role of co-payments and other private expenditure but also adequate investment in medicines and transparent and clear processes regarding the inclusion of medicines into reimbursement. (authors' abstract)

published_or_final_version / abstract / Mechanical Engineering / Doctoral / Doctor of Philosophy

In the New Zealand context, considerable academic and government attention has been given to the socioeconomic and ethnic disparities in health, and how they have evolved over time. Despite evidence of clear regional health patterning within New Zealand, there has been very little research monitoring how the geographical trends in health have evolved over time. The period 1980 to 2001 is very important in New Zealand's contemporary history, as it was a time of rapid social and economic change. For this reason, researchers are motivated to examine the extent to which health differentials evolved during the same period. The reduction of health inequalities are at the top of the Government's health agenda, it is therefore important not only to monitor the success, or otherwise, of a reduction in social inequalities, but also, geographic inequalities. This thesis examines the extent of geographic inequalities in mortality in contemporary New Zealand, and whether or not mortality has become geographically polarised between 1981 and 2000. This thesis builds on research carried out in New Zealand, and seeks to delve deeper into the specifics of the geographic variation of mortality. Importantly, it fills several knowledge gaps during this period, which include: the geographic inequality of cause-specific mortality, the difference in regional cause-specific mortality between males and females, and the inequalities of mortality at a finer geographic resolution. A significant debate revolves around the relative contribution of compositional and contextual explanations for the geographic variation of health outcomes. The research undertaken in this thesis examines the contribution of population change and deprivation to the geographic inequalities of mortality. Numerous key findings were identified in this research, four of which are as follows: In 2000, significant geographic inequalities in cause-specific mortality existed within New Zealand; between 1981 and 2000 the geographic mortality gap remained relatively stable; and when the geographic areas are sorted by deprivation, the results indicate that there has been a widening of the mortality gap. Analysis of the relationship between population change and mortality provide cautious support for the finding that mortality rates are higher in areas that have experienced population decline and conversely, that mortality rates are lower in areas where there has been a growth in population. The high and stable levels of geographic inequality should be of great concern to policy makers as the results of this research indicate that policies addressing health inequalities in New Zealand are not sufficiently potent.

<p>Over the last few years it became clear that the students struggle with the basic concepts of logarithms and inequalities, let alone logarithmic inequalities due to the lack of exposure of these concepts at high school. In order to fully comprehend logarithmic inequalities, a good understanding of the logarithmic graph is important. Thus, the opportunity was seen to change the method of instruction by introducing the graphical method to solve logarithmic inequalities. It was decided to use an mathematical software program, Omnigraph, in this research.</p>

Background: The degree of health variation among social groups is an important indicator of population health and the efficiency of economic and social systems. Previous studies revealed existence of health inequalities across Europe, however recent studies on the contribution of income to such inequalities are scarce. Aim: To investigate differences in self-reported health between the lowest and the highest income groups across Europe. Method: Data from the European Social Survey for 29 countries were examined. The absolute inequalities were calculated as differences in age-adjusted prevalence of poor self-reported health between the lowest and the highest income quintiles. The relative inequalities were measured by odds ratios for reporting poor health in the lowest income group compared to the highest one. Results: Income-related health inequalities were found in all countries. Larger relative inequalities among men were observed in Greece, Kosovo, Ireland, Israel, Iceland, and Slovenia; among women – in Lithuania, Denmark, Norway, Portugal, Cyprus, and Czech Republic. Conslusions: In Europe, income-related health inequalities persist, however, their degree varies across countries. Gender differences in income-related inequalities were observed within certain countries. For a comprehensive description of health situation in a country assessing both the prevalence of poor health and the inequality level is crucial.