Search results for: variational inequality

Authors: Parul Sinha

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Electronic commerce facilitates increased choice and information on goods or services for consumers but at the same time it compounds the inequality of bargaining power many consumers face when contracting with sellers. Due to the ‘inequality of bargaining power’ experienced by consumers when contracting by electronic means with business sellers in different jurisdictions, it may be difficult to determine where either the consumer is domiciled or the place where the seller is situated or conducts its business. The question arises in such situation that if one party wants to sue the other, then where can one sue? Which court has jurisdiction to try international conflicts arising from electronic contracts concluded through the internet? Will the same rules applicable to conventional contracts apply? Or should other considerations be taken into account? In all these situations the degree of consumer protection in electronic contracts comes into picture. In the light of the above, the paper discusses the jurisdiction and choice of law rules applied in EU and United States. Further, the paper considers the current uncertainty plaguing questions of jurisdiction in India. Therefore, the jurisdiction and choice of law rules for electronic contracts must be applied consistently and provide an automatic, harmonised rule in favour of the consumer’s jurisdiction and law. Lastly, the paper suggests the need for a uniform law in order to achieve effective juridical protection.

Keywords: electronic commerce, electronic contracts, jurisdiction, consumer protection

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Authors: Daiva Skuciene

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The Baltic States turned to free market and capitalism after independency. The new socioeconomic system, democracy and priorities about the welfare of citizens formed. The researches show that Baltic states choose the neoliberal development. Related to this neoliberal path, a few questions arouse: how do people evaluate the results of such policy and socioeconomic development? What are their priorities? And what are the values of the Baltic societies that support neoliberal policy? The purpose of this research – to analyze the socioeconomic context and the priorities and the values of the Baltics societies related to neoliberal regime. The main objectives are: firstly, to analyze the neoliberal socioeconomic features and results; secondly, to analyze people opinions and priorities about the results of neoliberal development; thirdly, to analyze the values of the Baltic societies related to the neoliberal policy. For the implementation of the purpose and objectives, the comparative analyses among European countries are used. The neoliberal regime was defined through two indicators: the taxes on capital income and expenditures on social protection. The socioeconomic outcomes of neoliberal welfare regime are defined through the Gini inequality and at risk of the poverty rate. For this analysis, the data of 2002-2013 of Eurostat were used. For the analyses of opinion about inequality and preferences on society, people want to live in, the preferences for distribution between capital and wages in enterprise data of Eurobarometer in 2010-2014 and the data of representative survey in the Baltic States in 2016 were used. The justice variable was selected as a variable reflecting the evaluation of socioeconomic context and analyzed using data of Eurobarometer 2006-2015. For the analyses of values were selected: solidarity, equality, and individual responsibility. The solidarity, equality was analyzed using data of Eurobarometer 2006-2015. The value “individual responsibility” was examined by opinions about reasons of inequality and poverty. The survey of population in the Baltic States in 2016 and data of Eurobarometer were used for this aim. The data are ranged in descending order for understanding the position of opinion of people in the Baltic States among European countries. The dynamics of indicators is also provided to examine stability of values. The main findings of the research are that people in the Baltics are dissatisfied with the results of the neoliberal socioeconomic development, they have priorities for equality and justice, but they have internalized the main neoliberal narrative- individual responsibility. The impact of socioeconomic context on values is huge, resulting in a change in quite stable opinions and values during the period of the financial crisis.

Keywords: neoliberal, inequality and poverty, solidarity, individual responsibility

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Authors: Khaled I. Nawafleh

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In this work, we apply the method of Hamilton-Jacobi to obtain solutions of Hamiltonian systems in classical mechanics with two certain structures: the first structure plays a central role in the theory of time-dependent Hamiltonians, whilst the second is used to treat classical Hamiltonians, including dissipation terms. It is proved that the generalization of problems from the calculus of variation methods in the nonstationary case can be obtained naturally in Hamilton-Jacobi formalism. Then, another expression of geometry of the Hamilton Jacobi equation is retrieved for Hamiltonians with time-dependent and frictional terms. Both approaches shall be applied to many physical examples.

Keywords: Hamilton-Jacobi, time dependent lagrangians, dissipative systems, variational principle

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Authors: Asma Hanif, A. I. K. Butt, Shabir Ahmad, Rahim Ud Din, Mustafa Inc

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This paper is devoted to a study of the fuzzy fractional mathematical model reviewing the transmission dynamics of the infectious disease Covid-19. The proposed dynamical model consists of susceptible, exposed, symptomatic, asymptomatic, quarantine, hospitalized and recovered compartments. In this study, we deal with the fuzzy fractional model defined in Caputo’s sense. We show the positivity of state variables that all the state variables that represent different compartments of the model are positive. Using Gronwall inequality, we show that the solution of the model is bounded. Using the notion of the next-generation matrix, we find the basic reproduction number of the model. We demonstrate the local and global stability of the equilibrium point by using the concept of Castillo-Chavez and Lyapunov theory with the Lasalle invariant principle, respectively. We present the results that reveal the existence and uniqueness of the solution of the considered model through the fixed point theorem of Schauder and Banach. Using the fuzzy hybrid Laplace method, we acquire the approximate solution of the proposed model. The results are graphically presented via MATLAB-17.

Keywords: Caputo fractional derivative, existence and uniqueness, gronwall inequality, Lyapunov theory

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Authors: Fatemeh Yazdani

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This paper explores the student intake policies in high-performing private schools in Iran by studying both sides involved in the school choice processes, parents and the school leaders. It is based on in-depth interviews with 27 parents and private schools’ staff and principals supplemented by ethnographic observation in two private schools in Tehran. From the Bourdieusian point of view, this paper argues that the school leadership engineers the composition of private schools’ students via different gatekeeping strategies, and these strategies represent and reconstruct the school’s institutional habitus. It further explores the ways that parents who look for quality education among non-state education providers deal with the school's institutional habitus based on their familial habitus and possessed economic, social, and cultural capital. The conclusion highlights that investigating school choice as a reciprocal process between family and school leadership can shed more light on the ways that an exclusive environment has been created in some high-performing private schools for certain class strata maintaining a distance that needs to be kept from ‘others.’ In a broader sense, this paper engages into an exploration of social inequality reproduction through private education.

Keywords: institutional habitus, private education, school choice, social inequality, student intake

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Authors: Nihaya Daoud, Adi Finkelstein

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Depression is a major public health concern and it is estimated to be the second leading cause of morbidity in 2020. One of the most consistent findings in mental health in the Western societies is inequalities in depression between men and women. Studies on differences in depression between Arab men and women are scarce. In this paper, we use data of a countrywide study on the Arab minority in Israel to compare the prevalence of depressive symptoms between men and women and examine factors that contribute to this gender inequality in the context of Arab society. The study was conducted in 2005-2006. It included a sample of Palestinian citizens of Israel, aged 30–70. The final sample included 902 respondents (381 women and 521 men) who were interviewed face-to-face using a structured questionnaire in Arabic, before which they each signed an informed consent form. The study was approved by the Institutional Review Board at Hadassah – Hebrew University Medical Center. Results show that women had significantly higher depressive symptoms (DS) than men. In addition, while Arab women had steady rates of depressive symptoms between the ages of 40-54 and a peak at the age group of 55-59, among Arab men there was a peak almost every 10 years (more results will show in the full presentation). We assume that our findings might be attributed to the specific structural changes in the Arab society in Israel in the last decades.

Keywords: Arab men, Arab women, depression, gender inequality

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Authors: WooJin KANG

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Contrary to the ideal, in the cartelized democracy, meritocracy is revealed to be a system that gives arrogance to the winners and humiliation to the losers, and more and more studies are asserting the upper-class bias of meritocracy. However, only some studies have analyzed the determinants of the perception of meritocracy and fairness among young people. This article was an attempt to fill this gap. According to the empirical results of this article, the determinants of fairness of the meritocracy in the youth were multidimensional. The social status model, the political ideology model, and the future prospect model all significantly impacted the perception of meritocracy fairness among young people. Contrary to the predictions of the system justification theory and the compensatory control theory of previous studies, the lower-class youth were critical of meritocracy. In addition, the more negative the future outlook, the less they accepted the fairness of meritocracy. In addition, ideological debates over solutions to inequality of opportunity, which began in earnest during the 20th presidential election, turned out to be a variable that significantly influenced the perception of fairness based on meritocracy among young people. The results of the empirical analysis in this article reaffirmed the multidimensional structure of the youth. This suggests the need for policy responses leading to education tailored to various subgroups within the youth.

Keywords: Meritocracy, Exam-Meritocracy, Fairness, Multiple-inequality

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Authors: Crescentia Ugwuona

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Considering the importance of proverbs in socio-cultural life through socialization in any given society, it is deemed important for people to understand the hidden meanings that proverbs may convey. So far, there has been hardly any systematic research in the representation of different genders in Nigeria. Although there are writings on the representation of women in Nigerian proverbs, they are based on the writers’ introspection. Beyond that, investigators often tend to overlook the representations of men in proverbs. This study therefore explores from the perspective of sociolinguistics and critical discourse analysis (CDA) how different genders (men and women) are represented in Nigerian proverbs with particular reference to Igbo-Nigerians; with the aim of uncovering hidden gender inequalities that exist in them. The analysis reveals that Igbo proverbs consistently perpetuate an ideology of gender inequality, that is, male proverbs depict male achievements, power, bravery, and male supremacy; while that of female connotes their submissions to cultural and traditional female domestic roles, chastity, less competent, and women subjugation. The study alerts to how gendered language in proverbs can reflect, create, and sustain gender inequality in societies; and contributes to an education aimed at gender equality, emancipator practice of appropriate language in proverbs, respect for human rights; and of the need to develop strategies for addressing the problem.

Keywords: critical discourse analysis, gender representation, gender stereotypes, Igbo-Nigerian, sociolinguistics analysis, proverbs

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Authors: Idit Miller

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This paper examines the effect of a common organizational identity on intergroup relations of Israeli-Jews and non-Israeli Palestinians medical interns who are employed together within the Israeli hospitals, while asymmetrical relationships and ongoing conflict between the two groups still exist. Using mixed theory, which included the Intergroup contact, Othering, and the Common social identity theories, the study examines the intra-organizational identities dynamic involved within the hospital department and its effects on intergroup relations. In-depth, semi-structured interviews with the Palestinian and Jews physicians were conducted. Findings show three social identity responses are being constructed during the shared employment: Them vs. Us construction, Them vs. Us deconstruction, and an 'Organizational Us' reconstruction. Despite the inequality inherent within the intergroup relations, by holding a universal identity and using a deconstruction pattern, positive emotions are demonstrated by both sides. The adoption of a shared professional super-identity is found as an essential component for fostering and maintaining positive attitudes between the parties. This finding strengthens the significance of a long-term continuous intergroup contact inside the organization and especially between two polarized groups.

Keywords: common social identity theory, intergroup contact theory, inequality, intergroup conflict, othering theory

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Authors: Summer Isaacson

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Research on gender differences in environmental behavior has long claimed that women engage less than men in environmental political participation (EPP) (protests, petitions), despite their higher levels of environmental concern and vulnerability. Using recent data from the ISSP’s 2020 Environment module including 28 countries, we revisit the gender gap in EPP. Arguing that increasing gender equality and socio-economic development can allow women to voice their environmental grievances, we use multi-level models to examine the effects of macro-level gender equality on gender differences in environmental protests, petitions, and boycotts. By distinguishing individual from collective and non-confrontational from confrontational engagement forms, this study offers an encompassing understanding of gendered patterns of participation. Women do participate more than men, but mainly in individual and non-confrontational EPP forms (petitions, boycotts) and with substantial variation across countries. Moreover, considering how women have historically been restrained from participating in politics, we argue that structural gender inequality remains an important limitation to women’s engagement. Cross-level interactions indicate that in more egalitarian countries, women are more likely to engage in several types of EPP than men. The study offers new perspectives and findings on gender differences in EPP, highlighting the impact of gender inequality on women’s participation.

Keywords: environmental activism, political participation, gender equality, pro-environmental behavior

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Authors: Maria Hussin, Malik Zawwar Hussain, Mubashrah Saddiqa

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We present a trigonometric scheme to approximate a circular arc with its two end points and two end tangents/unit tangents. A rational cubic trigonometric Bézier curve is constructed whose end control points are defined by the end points of the circular arc. Weight functions and the remaining control points of the cubic trigonometric Bézier curve are estimated by variational approach to reproduce a circular arc. The radius error is calculated and found less than the existing techniques.

Keywords: control points, rational trigonometric Bézier curves, radius error, shape measure, weight functions

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Authors: Adebayo John Badeji

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This study examines some limiting factors in the dramaturgy of Irene Salami- Agunloye's Emotan. These factors are cultural, socio-political, and religious beliefs that play significant roles in gender balance, such that it establishes inequality between the sexes, giving male attributes greater value than that female ones subconsciously. This work draws its findings from the textual analysis method, and Stiwanism was employed as our theoretical framework. The theory is further discussed in the body of the work. By analysis, we subject this work to critical content analysis. Our findings revealed that most African feminist ideologies employ the ideology of revolt, which may not work on African soil. The play projects women's and men's issues in politics. This study exposes us to the fact that gender inequality is created by the male’s dominance in society. Also, the African women’s imitation of the cultural dictates of their fellow counterparts abroad is also affecting their own perspective on African soil. The study concludes that the African woman is looking at her freedom from the view of her counterparts in Europe and America, which is not right. As argued by Irene salami, women were active in societal development in Africa. This study, therefore, recommends that she should look at African women from the African perspective. This is because Queen Amina of Zazzau, Queen Idia of Benin, and Queen Moremi of Ife ruled when there were men, and they excelled.

Keywords: gender, identity, Emotan, factors

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Authors: Marzieh Ahmadi, Ruhullah Alikhan Gorgani

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The usual methods of measuring regional inequalities can not reflect the internal changes of the country in terms of their displacement in different development groups, and the indicators of inequalities are not effective in demonstrating the dynamics of the distribution of inequality. For this purpose, this paper examines the dynamics of the urban inertial transport in the country during the period of 2006-2016 using the CIRD multidimensional index and stochastic kernel density method. it firstly selects 25 indicators in five dimensions including macroeconomic conditions, science and innovation, environmental sustainability, human capital and public facilities, and two-stage Principal Component Analysis methodology are developed to create a composite index of inequality. Then, in the second stage, using a nonparametric analytical approach to internal distribution dynamics and a stochastic kernel density method, the convergence hypothesis of the CIRD index of the Iranian provinces center is tested, and then, based on the ergodic density, long-run equilibrium is shown. Also, at this stage, for the purpose of adopting accurate regional policies, the distribution dynamics and process of convergence or divergence of the Iranian provinces for each of the five. According to the results of the first Stage, in 2006 & 2016, the highest level of development is related to Tehran and zahedan is at the lowest level of development. The results show that the central cities of the country are at the highest level of development due to the effects of Tehran's knowledge spillover and the country's lower cities are at the lowest level of development. The main reason for this may be the lack of access to markets in the border provinces. Based on the results of the second stage, which examines the dynamics of regional inequality transmission in the country during 2006-2016, the first year (2006) is not multifaceted and according to the kernel density graph, the CIRD index of about 70% of the cities. The value is between -1.1 and -0.1. The rest of the sequence on the right is distributed at a level higher than -0.1. In the kernel distribution, a convergence process is observed and the graph points to a single peak. Tends to be a small peak at about 3 but the main peak at about-0.6. According to the chart in the final year (2016), the multidimensional pattern remains and there is no mobility in the lower level groups, but at the higher level, the CIRD index accounts for about 45% of the provinces at about -0.4 Take it. That this year clearly faces the twin density pattern, which indicates that the cities tend to be closely related to each other in terms of development, so that the cities are low in terms of development. Also, according to the distribution dynamics results, the provinces of Iran follow the single-density density pattern in 2006 and the double-peak density pattern in 2016 at low and moderate inequality index levels and also in the development index. The country diverges during the years 2006 to 2016.

Keywords: Urban Disparity, CIRD Index, Convergence, Distribution Dynamics, Random Kernel Density

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Authors: Marianne Vardalos

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Many students are returning to school after years of rich, lived experiences as parents, employees, volunteers, and in various other roles outside the university. While in the workforce or at home raising a family, they have gained authentic, personal observations of the power dynamics referred to as racism, classism, sexism, heteronormativity, and ableism. Encouraging your students to apply their own realities to course material that interrogates power structures and privilege not only facilitates student learning and understanding but also reveals that you, as a teacher, respect the experiences of your students as valuable and valid teaching tools. Though there is general recognition of the pedagogical value of having students share their experiences, facilitating such discussion can be a harrowing challenge for faculty. Additionally, for some students, the classroom can be very strange and too intimidating to share personal stories of injustice or inequality. In larger classroom settings, an attempt to integrate story-telling can turn into a cacophony of emotional testimonials. Not wanting to lose control of the class and feeling unqualified to respond to students' emotional confessions from their past, educators are often tempted to minimize the personal comments of students and avoid altogether an impromptu free-for-all. Knowing how and when to draw on the personal experience of your students involves a systematic plan for eliciting the most useful information at the right time. The trick is to design methods that induce student self-reflection in a way that is relevant to the course material and to then effectively incorporate these methods into lesson plans.

Keywords: pedagogy, story-telling, power and inequality, hierarchies of power

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Authors: Mónica Catarina Soares

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Neoliberal rationality is currently changing the ways concepts like freedom or equality are framed. As an omnipresent and context-sensitive paradigm, homo oeconomicus is continuously taking place in realms of life previously insulated from economic and market-driven principles. This presentation is based on the argument that, more than ever, this paradigm is nowadays framing institutional and everyday discourses in regard to social problems. Although neoliberal rationality is based on the putative ideological basis that everyone is equal, equality seems to be reshaped by specific meanings apprehended by this rationality. In this sense, an illusion of equality seems to be relevant to legitimize different social inequalities (e.g., access to health care or to habitation). Political psychology has studied how ideology is relevant to legitimize market and unequal systems, but still the specific relation between markets, (in)equality and neoliberal languages is not widely addressed. The goal is to discuss the smithereens of the neoliberal rationality when it comes to legitimizing social inequalities by contesting the arguments of meritocracy, progressive freedom and minimal guarantees obeying to market-rules and principles. This analysis can be helpful to grasp for instance the continuously dismantlement of the welfare-state in different countries of the global north and how it is turning the regulation/emancipation tension inside out. The ultimate goal is to contribute to the breaking up of a paradigm that is still too big to capture, too depoliticized and chameleonic to fully acknowledge the biopolitics of power that is helping to create it.

Keywords: discourses, legitimacy, neoliberal rationality, social inequality

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Authors: Debajyoti Choudhuri, Ratan Kumar Giri, Shesadev Pradhan

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The perturbed nonlinear Schrodinger equation involving the p-biharmonic and the p-Laplacian operators involving a real valued parameter and a continuous real valued potential function defined over the N- dimensional Euclidean space has been considered. By the variational technique, an existence result pertaining to a nontrivial solution to this non-linear partial differential equation has been proposed. Further, by the Concentration lemma, the concentration of solutions to the same problem defined on the set consisting of those elements where the potential function vanishes as the real parameter approaches to infinity has been addressed.

Keywords: p-Laplacian, p-biharmonic, elliptic PDEs, Concentration lemma, Sobolev space

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Authors: L. R. Valencia Pérez, A. Morita Alexander, Peña A. Juan Manuel, A. Lamadrid Álvarez

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This research shows the reflection and identification of explanatory variables and their relationships between different variables that are involved with educational technology, all of them encompassed in macro-concepts which are: cognitive inequality, economy, food and language; These will give the guideline to have a more detailed knowledge of educational systems, the communication and equipment, the physical space and the teachers; All of them interacting with each other give rise to what is called educational technology management. These elements contribute to have a very specific knowledge of the equipment of communications, networks and computer equipment, systems and content repositories. This is intended to establish the importance of knowing a global environment in the transfer of knowledge in poor countries, so that it does not diminish the capacity to be authentic and preserve their cultures, their languages or dialects, their hierarchies and real needs; In short, to respect the customs of different towns, villages or cities that are intended to be reached through the use of internationally agreed professional educational technologies. The methodology used in this research is the analytical - descriptive, which allows to explain each of the variables, which in our opinion must be taken into account, in order to achieve an optimal incorporation of the educational technology in a model that gives results in a medium term. The idea is that in an encompassing way the concepts will be integrated to others with greater coverage until reaching macro concepts that are of national coverage in the countries and that are elements of conciliation in the different federal and international reforms. At the center of the model is the educational technology which is directly related to the concepts that are contained in factors such as the educational system, communication and equipment, spaces and teachers, which are globally immersed in macro concepts Cognitive inequality, economics, food and language. One of the major contributions of this article is to leave this idea under an algorithm that allows to be as unbiased as possible when evaluating this indicator, since other indicators that are to be taken from international preference entities like the OECD in the area of education systems studied, so that they are not influenced by particular political or interest pressures. This work opens the way for a relationship between involved entities, both conceptual, procedural and human activity, to clearly identify the convergence of their impact on the problem of education and how the relationship can contribute to an improvement, but also shows possibilities of being able to reach a comprehensive education reform for all.

Keywords: relationships macro-concepts, cognitive inequality, economics, alimentation and language

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Authors: Paule Olivia Akotto

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The recent literature suggests spending between 50%-85% of oil rents. However, there are not yet clear guidelines for allocating this windfall in the public investment system, while most of the resource-rich countries fail to improve their intergenerational mobility. We study a design of the optimal spending system in Senegal, a low-income developing country featuring newly discovered oil fields and low intergenerational mobility. We build a dynamic general equilibrium model in which rural and urban (Dakar and other urban centers henceforth OUC) households face different health, education, and employment opportunities based on their location, affecting their intergenerational mobility. The model captures the relationship between oil rents, public investment, and multidimensional inequality of opportunity. The government invests oil rents in three broad sectors: health and education, road and industries, and agriculture. Through endogenous productivity externality and human capital accumulation, our model generates the predominant position of Dakar and OUC households in terms of access to health, education, and employment in line with Senegal data. Rural households are worse off in all dimensions. We compute the optimal spending policy under two sets of simulation scenarios. Under the current Senegal public investment strategy, which weighs more health and education investments, we find that the reform maximizing the decline in inequality of opportunity between households, frontloads investment during the first eight years of the oil exploitation and spends the perpetual value of oil wealth thereafter. We will then identify the marginal winners and losers associated with this policy and its redistributive implications. Under our second set of scenarios, we will test whether the Senegalese economy can reach better equality of opportunity outcomes under this frontloading reform, by allowing the sectoral shares of investment to vary. The trade-off will be between cutting human capital investment in favor of agricultural and productive infrastructure or increasing the former. We will characterize the optimal policy by specifying where the higher weight should be. We expect that the optimal policy of the second set strictly dominates in terms of equality of opportunity, the optimal policy computed under the current investment strategy. Finally, we will quantify this optimal policy's aggregate and distributional effects on poverty, well-being, and gender earning gaps.

Keywords: developing countries, general equilibrium, inequality of opportunity, oil rents

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Authors: Lise Retat, Maria Carmen Huerta, Laura Webber, Franco Sassi

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Background: Intra-generational social mobility (ISM) can be defined as the extent to which individuals change their socio-economic position over a period of time or during their entire life course. The relationship between poor health and ISM is established. Therefore, quantifying the impact that potential health policies have on ISM now and into the future would provide evidence for how social inequality could be reduced. This paper takes the condition of overweight and obesity as an example and estimates the mean earning change per individual if the UK were to introduce policies to effectively reduce overweight and obesity. Methods: The HealthLumen individual-based model was used to estimate the impact of obesity on social mobility measures, such as earnings, occupation, and wealth. The HL tool models each individual's probability of experiencing downward ISM as a result of their overweight and obesity status. For example, one outcome of interest was the cumulative mean earning per person of implementing a policy which would reduce adult overweight and obesity by 1% each year between 2020 and 2030 in the UK. Results: Preliminary analysis showed that by reducing adult overweight and obesity by 1% each year between 2020 and 2030, the cumulative additional mean earnings would be ~1,000 Euro per adult by 2030. Additional analysis will include other social mobility indicators. Conclusions: These projections are important for illustrating the role of health in social mobility and for providing evidence for how health policy can make a difference to social mobility outcomes and, in turn, help to reduce inequality.

Keywords: modelling, social mobility, obesity, health

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Authors: Pei Wang

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The concept of social-emotional learning (SEL) is becoming increasingly popular in both research and practical applications worldwide. However, there is a lack of empirical studies and implementation of SEL in China, particularly from the perspective of parents. This qualitative study examined how Chinese parents perceived SEL, how their views on SEL were shaped, and how these views affected their decisions regarding their children’s education programs. Using the Collaborative for Academic Social and Emotional Learning Interactive Wheel framework and Bronfenbrenner's bioecological theory, the study conducted interviews with eight parents whose children attended public, international, and private schools in China. All collected data were conducted a thematic analysis involving three coding phases. The findings revealed that interviewees perceived SEL as significant to children’s development but held diverse understandings and perspectives on SEL at school depending on the amount and the quality of SEL resources available in their children’s schools. Additionally, parents’ attitudes towards the exam-oriented education system and Chinese culture influenced their views on SEL in school. Nevertheless, their socioeconomic status (SES) was the most significant factor in their perspectives on SEL, which significantly impacted their choices in their children's educational programs. High-SES families had more options to pursue SEL resources by sending their children to international schools or Western countries, while lower middle-class SES families had limited SEL resources in public schools. This highlighted educational inequality in China and emphasized the need for greater attention and investment in SEL programs in Chinese public schools.

Keywords: Chinese, inequality, parent, school, social-emotional learning

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Authors: Lina Wu, Ye Li, Jia Liu

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We are interested in solving Liouville-type problems to explore constancy properties for maps or differential forms on Riemannian manifolds. Geometric structures on manifolds, the existence of constancy properties for maps or differential forms, and energy growth for maps or differential forms are intertwined. In this article, we concentrate on discovery of solutions to Liouville-type problems where manifolds are Euclidean spaces (i.e. flat Riemannian manifolds) and maps become real-valued functions. Liouville-type results of vanishing properties for functions are obtained. The original work in our research findings is to extend the q-energy for a function from finite in L^q space to infinite in non-L^q space by applying p-balanced technique where q = p = 2. Calculation skills such as Hölder's Inequality and Tests for Series have been used to evaluate limits and integrations for function energy. Calculation ideas and computational techniques for solving Liouville-type problems shown in this article, which are utilized in Euclidean spaces, can be universalized as a successful algorithm, which works for both maps and differential forms on Riemannian manifolds. This innovative algorithm has a far-reaching impact on research work of solving Liouville-type problems in the general settings involved with infinite energy. The p-balanced technique in this algorithm provides a clue to success on the road of q-energy extension from finite to infinite.

Keywords: differential forms, holder inequality, Liouville-type problems, p-balanced growth, p-harmonic maps, q-energy growth, tests for series

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Authors: Ram Kishor

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The Lyapunov characteristic exponent (LCE) is an important tool to describe behavior of a dynamical system, which measures the average rate of divergence (or convergence) of a trajectory emanating in the vicinity of initial point. To analyze the behavior of nearby trajectory emanating in the neighborhood of an equilibrium point in the restricted three-body problem under the influence of perturbations in the form of radiation pressure and oblateness, we compute LCEs of first order with the help of slandered method which is based on variational equation of the system. It is observed that trajectories are chaotic in nature due positive LCEs. Also, we analyze the effect of radiation pressure and oblateness on the LCEs. Results are applicable to study the behavior of more generalized RTBP in the presence of perturbations such as PR drag, solar wind drag etc.

Keywords: Lyapunov characteristic exponent, RTBP, radiation pressure, oblateness

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Authors: Mohammad Moezzibadi, Isabelle Charpentier, Adrien Wanko, Robert Mosé

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The calibration of hydrodynamic parameters for subsurface constructed wetlands (CWs) is a sensitive process since highly non-linear equations are involved in unsaturated flow modeling. CW systems are engineered systems designed to favour natural treatment processes involving wetland vegetation, soil, and their microbial flora. Their significant efficiency at reducing the ecological impact of urban runoff has been recently proved in the field. Numerical flow modeling in a vertical variably saturated CW is here carried out by implementing the Richards model by means of a mixed hybrid finite element method (MHFEM), particularly well adapted to the simulation of heterogeneous media, and the van Genuchten-Mualem parametrization. For validation purposes, MHFEM results were compared to those of HYDRUS (a software based on a finite element discretization). As van Genuchten-Mualem soil hydrodynamic parameters depend on water content, their estimation is subject to considerable experimental and numerical studies. In particular, the sensitivity analysis performed with respect to the van Genuchten-Mualem parameters reveals a predominant influence of the shape parameters α, n and the saturated conductivity of the filter on the piezometric heads, during saturation and desaturation. Modeling issues arise when the soil reaches oven-dry conditions. A particular attention should also be brought to boundary condition modeling (surface ponding or evaporation) to be able to tackle different sequences of rainfall-runoff events. For proper parameter identification, large field datasets would be needed. As these are usually not available, notably due to the randomness of the storm events, we thus propose a simple, robust and low-cost numerical method for the inverse modeling of the soil hydrodynamic properties. Among the methods, the variational data assimilation technique introduced by Le Dimet and Talagrand is applied. To that end, a variational data assimilation technique is implemented by applying automatic differentiation (AD) to augment computer codes with derivative computations. Note that very little effort is needed to obtain the differentiated code using the on-line Tapenade AD engine. Field data are collected for a three-layered CW located in Strasbourg (Alsace, France) at the water edge of the urban water stream Ostwaldergraben, during several months. Identification experiments are conducted by comparing measured and computed piezometric head by means of the least square objective function. The temporal variability of hydrodynamic parameter is then assessed and analyzed.

Keywords: automatic differentiation, constructed wetland, inverse method, mixed hybrid FEM, sensitivity analysis

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Authors: Eun-Jeong Jang

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Inequality has been considered as a core issue in public policy. Korea is categorized into one of the countries in the high level of inequality, which matters to not only current but also future generations. The relationship between individuals' origin and destination has an implication of intergenerational inequality. The previous work on this was mostly conducted at macro level using panel data to our knowledge. However, in this level, there is no room to track down what happened during the time between origin and destination. Individuals' origin is represented by their parents' socio-economic status, and in the same way, destination is translated into their own socio-economic status. The first research question is that how origin is related to the destination. Certainly, destination is highly affected by origin. In this view, people's destination is already set to be more or less than a reproduction of previous generations. However, educational achievement is widely believed as an independent factor from the origin. From this point of view, there is a possibility to change the path given by parents by educational attainment. Hence, the second research question would be that how education is related to destination and also, which factor is more influential to destination between origin and education. Also, the focus lies in the mediation of education between origin and destination, which would be the third research question. Socio-economic status in this study is referring to class as a sociological term, as well as wealth including labor and capital income, as an economic term. The combination of class and wealth would be expected to give more accurate picture about the hierarchy in a society. In some cases of non-manual and professional occupations, even though they are categorized into relatively high class, their income is much lower than those who in the same class. Moreover, it is one way to overcome the limitation of the retrospective view during survey. Education is measured as an absolute term, the years of schooling, and also as a relative term, the rank of school. Moreover, all respondents were asked the effort scaled by time intensity, self-motivation, before and during the course of their college based on a standard questionnaire academic achieved model provides. This research is based on a survey at an individual level. The target for sampling is an individual who has a job, regardless of gender, including income-earners and self-employed people and aged between thirties and forties because this age group is considered to reach the stage of job stability. In most cases, the researcher met respondents person to person visiting their work place or home and had a chance to interview some of them. One hundred forty individual data collected from May to August in 2017. It will be analyzed by multiple regression (Q1, Q2) and structural equation modeling (Q3).

Keywords: class, destination, educational achievement, effort, income, origin, socio-economic status, South Korea

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Authors: Elisa Boatti, Ulisse Stefanelli, Alessandro Reali, Ferdinando Auricchio

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Thanks to their unusual properties, shape memory alloys (SMAs) are good candidates for advanced applications in a wide range of engineering fields, such as automotive, robotics, civil, biomedical, aerospace. In the last decades, the ever-growing interest for such materials has boosted several research studies aimed at modeling their complex nonlinear behavior in an effective and robust way. Since the constitutive response of SMAs is strongly thermomechanically coupled, the investigation of the non-isothermal evolution of the material must be taken into consideration. The present study considers an existing three-dimensional phenomenological model for SMAs, able to reproduce the main SMA properties while maintaining a simple user-friendly structure, and proposes a variational reformulation of the full non-isothermal version of the model. While the considered model has been thoroughly assessed in an isothermal setting, the proposed formulation allows to take into account the full nonisothermal problem. In particular, the reformulation is inspired to the GENERIC (General Equations for Non-Equilibrium Reversible-Irreversible Coupling) formalism, and is based on a generalized gradient flow of the total entropy, related to thermal and mechanical variables. Such phrasing of the model is new and allows for a discussion of the model from both a theoretical and a numerical point of view. Moreover, it directly implies the dissipativity of the flow. A semi-implicit time-discrete scheme is also presented for the fully coupled thermomechanical system, and is proven unconditionally stable and convergent. The correspondent algorithm is then implemented, under a space-homogeneous temperature field assumption, and tested under different conditions. The core of the algorithm is composed of a mechanical subproblem and a thermal subproblem. The iterative scheme is solved by a generalized Newton method. Numerous uniaxial and biaxial tests are reported to assess the performance of the model and algorithm, including variable imposed strain, strain rate, heat exchange properties, and external temperature. In particular, the heat exchange with the environment is the only source of rate-dependency in the model. The reported curves clearly display the interdependence between phase transformation strain and material temperature. The full thermomechanical coupling allows to reproduce the exothermic and endothermic effects during respectively forward and backward phase transformation. The numerical tests have thus demonstrated that the model can appropriately reproduce the coupled SMA behavior in different loading conditions and rates. Moreover, the algorithm has proved effective and robust. Further developments are being considered, such as the extension of the formulation to the finite-strain setting and the study of the boundary value problem.

Keywords: generalized gradient flow, GENERIC formalism, shape memory alloys, thermomechanical coupling

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Authors: Nilay K. Doshi

Abstract:

A theoretical probe describing the excited energy states of the electron density surrounding a nanoparticle (NP) is presented. An electromagnetic (EM) wave interacts with a NP much smaller than the incident wavelength. The plasmon that oscillates locally around the NP comprises of excited conduction electrons. The system is based on the Jellium model of a cluster of metal atoms. Hohenberg-Kohn (HK) equations and the variational Kohn-Sham (SK) scheme have been used to obtain the NP electron density in the ground state. Furthermore, a time-dependent density functional (TDDFT) theory is used to treat the excited states in a density functional theory (DFT) framework. The non-interacting fermionic kinetic energy is shown to be a functional of the electron density. The time dependent potential is written as the sum of the nucleic potential and the incoming EM field. This view of the quantum oscillation of the electron density is a part of the localized surface plasmon resonance.

Keywords: electron density, energy, electromagnetic, DFT, TDDFT, plasmon, resonance

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Authors: Mahasen M. Abdel Mageed, H. S. Zaghloul

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Annihilations, phase shifts, scattering lengths, and elastic cross sections of low energy positrons scattering from magnesium atoms were studied using the least-squares variational method (LSVM). The possibility of positron binding to the magnesium atoms is investigated. A trial wavefunction is suggested to represent e+-Mg elastic scattering and scattering parameters were derived to estimate the binding energy and annihilation rates. The trial function is taken to depend on several adjustable parameters and is improved iteratively by increasing the number of terms. The present results have the same behavior as reported semi-empirical, theoretical, and experimental results. Especially, the estimated positive scattering length supports the possibility of positron-magnesium bound state system that was confirmed in previous experimental and theoretical work.

Keywords: bound wavefunction, positron annihilation, scattering phase shift, scattering length

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Authors: Jingqian Xiao

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The rapid wave of urbanization triggered by China’s economic growth over the past few decades has inevitably impacted the country’s educational landscape. Educational spaces in China shifted during the 1990s when, due to the government’s tax reforms, large numbers of rural schools were abolished or merged with urban schools, resulting in an “urbanization” of school content and values. While urbanized education is now the status quo, there is as yet no literature review, to our best knowledge, that comprehensively summarizes academic work on this phenomenon. Besides, most research on Chinese educational urbanization relies on basic policy deductions, and there is room for improvement in both the quality and quantity of empirical research on this topic. This paper, therefore, reviews relevant literature on educational urbanization in China from three interrelated factors that shape educational inequality between urban and rural China, namely the urbanization in educational space, school content, and educational values. Results find that the main discussion on Chinese educational urbanization often addresses how Chinese rural education can be improved by reforming the urbanization model to revitalize rural society. While the complete urbanization of Chinese education does not seem feasible, the rapidly changing nature of China’s development patterns and political landscape means the course of Chinese education may shift at any time. When the government does decide to fulfill its intentions to improve the countryside, many formerly dilapidated rural schools may be revived, but for the moment, both rural and urban education in China suffers from governmental neglect. In addition, the breakout of COVID-19, which led to a sudden spread of online education that reopened the gap between the educational conditions and the cultural capital of families in rural and urban areas, has also posed new challenges for China’s attempts to resolve conflicting interests between urban and rural schools and promote educational equality.

Keywords: Chinese education, educational inequality, rural and urban education, urbanization in education

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Authors: Gelacio Juárez-Luna, Gustavo Ayala, Jaime Retama-Velasco

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This paper shows the advantages of the material failure process simulation by improve finite elements with embedded discontinuities, using a new definition of traction vector, dependent on the discontinuity length and the angle. Particularly, two families of this kind of elements are compared: kinematically optimal symmetric and statically and kinematically optimal non-symmetric. The constitutive model to describe the behavior of the material in the symmetric formulation is a traction-displacement jump relationship equipped with softening after reaching the failure surface. To show the validity of this symmetric formulation, representative numerical examples illustrating the performance of the proposed formulation are presented. It is shown that the non-symmetric family may over or underestimate the energy required to create a discontinuity, as this effect is related with the total length of the discontinuity, fact that is not noticed when the discontinuity path is a straight line.

Keywords: variational formulation, strong discontinuity, embedded discontinuities, strain localization

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Authors: Iman Shabanzadeh

Abstract:

Over the last three decades, the main demands of the Iranian workforce have been focused on three areas: "The right to a decent wage", "The right to organize" and "The right to job security". In order to investigate and analyze this situation, the present study focuses on the component of job security. The purpose of the study is to figure out what mechanisms in Iran's Labor Law have led to the destabilization and undermining of workers' job security. The research method is descriptive-analytical. To collect information, library and document sources in the field of laws related to labor rights in Iran and, semi-structured interviews with experts have been used. In the data analysis stage, the qualitative content analysis method was also used. The trend analysis of the statistics related to the labor force situation in Iran in the last three decades shows that the employment structure has been facing an increase in the active population, but in the last decade, a large part of this population has been mainly active in the service sector, and contract-free enterprises, so a smaller share of this employment has insurance coverage and a larger share has underemployment. In this regard, the results of this study show that four contexts have been proposed as the main legal and executive mechanisms of labor instability in Iran, which are: 1) temporaryization of the labor force by providing different interpretations of labor law, 2) adjustment labor in the public sector and the emergence of manpower contracting companies, 3) the cessation of labor law protection of workers in small workshops and 4) the existence of numerous restrictions on the effective organization of workers. The theoretical conclusion of this article is that the main root of the challenges of the labor society and the destabilized workforce in Iran is the existence of structural inequalities in the field of labor security, whose traces can be seen in the legal provisions and executive regulations of this field.

Keywords: inequality, precariat, temporaryization, labor force, labor law

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