A feasibility approach for constructing combinatorial designs of circulant type

In this work, we propose an optimization approach for constructing various classes of circulant combinatorial designs that can be defined in terms of autocorrelation. The problem is formulated as a so-called feasibility problem having three sets, to which the Douglas–Rachford projection algorithm is applied. The approach is illustrated on three different classes of circulant combinatorial designs: circulant weighing matrices, D-optimal matrices of circulant type, and Hadamard matrices with two circulant cores. Furthermore, we explicitly construct two new circulant weighing matrices, a CW(126, 64) and a CW(198, 100), whose existence was previously marked as unresolved in the most recent version of Strassler’s table.     

New bounds for locally irregular chromatic index of bipartite and subcubic graphs

A graph is locally irregular if the neighbors of every vertex v have degrees distinct from the degree of v. A locally irregular edge-coloring of a graph G is an (improper) edge-coloring such that the graph induced on the edges of any color class is locally irregular. It is conjectured that three colors suffice for a locally irregular edge-coloring. In the paper, we develop a method using which we prove four colors are enough for a locally irregular edge-coloring of any subcubic graph admiting such a coloring. We believe that our method can be further extended to prove the tight bound of three colors for such graphs. Furthermore, using a combination of existing results, we present an improvement of the bounds for bipartite graphs and general graphs, setting the best upper bounds to 7 and 220, respectively.     

Schooling and Factors Affecting Decisions on Schooling by Household Members in the Rural Areas of Turkey

Despite the fact that rural education has always been one of the most important means of rural development, it has been ignored in many developing countries, with the result that rural development has not achieved great success. The problems of education in rural areas are not only related to the amount the country spends on education or to the system of education. The socio-economic condition of the individuals living in these areas and the form of rural education also play an important part. The present study deals with the socio-economic factors that influence the education level which is achieved. The assessments in the study are based on data gathered in a survey of 386 households carried out in the Aegean Region of Turkey. The work consists of three parts: the state of education in rural areas; the factors adversely affecting an individual’s decision to continue at school; and the employment situation of individuals who did not continue their education. In the results section, some suggestions have been made regarding the provision of employment opportunities to individuals who have not completed their education and who have had no job training.     

Kontexteffekte in Familien – Angleichung von Paaren und intergenerationale Transmission am Beispiel Religiosität

The present contribution shows conceptual and methodological approaches for the study of social context effects within families. Family members mutually constitute the social context in which family behavior and personality development take place. Social influence in families becomes evident empirically in family members’ significant similarity concerning a wide variety of characteristics. The present study focuses on intrafamily convergence with regard to religiousness. In an empirical illustration, both (a) horizontal intracouple alignment and (b) vertical intergenerational transmission processes are examined. Besides the finding that experiences during religious socialization in the parental home have a stronger impact than partner influences in adulthood, our analyses show that social context effects are more pronounced the stronger the cohesion of the respective interaction dyad is (e.g., according to measures of relationship quality).     

Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee

Same parliaments, to form a committee of size $q$ , use a voting process like the following: every parliamentary member votes for one out of a fixed set of candidates, and those $q$ candidates receiving more votes are elected for the committee. Assuming total discipline of vote, this is a game form in which players are the parliamentary groups. We investigate, according to some natural hypotheses about preferences, the likely distribution of the members of this committee. The main results are: (a) when fractional votes are allowed, there is a complete agreement between the distribution among the groups of the elected candidates that are outcomes of a Nash equilibrium and the distribution that, according to the size of the groups, would compute the Jefferson-d’Hondt allocation rule, and (b) when fractional votes are not allowed, there is a near agreement for a majority of situations.     

Male Honor and the Ruralization of HIV/AIDS in Michoacán. A Case of Indigenous Return Migration in Mexico

The purpose of this text is to analyse the motives of seasonal migrant workers for attempting to get their wives pregnant when they return to Mexico. The meanings attributed to paternity, pregnancy and rearing are analysed from the perspective of the migrant worker and his wife. Ethnographic research was conducted in several Purépecha communities in Michoacán, supported by interviews with indigenous, who travelled to the United States for periods of up to three years, and with their wives, who stayed in Mexico. The migrant workers interviewed consider pregnancy and the paternity derived from it as an important means of male legitimization and sexual control of their wives, particularly valid in their rural communities of origin, where they know they are absentee males. When they return to Mexico they seek sexual relations for reproductive purposes, since they fear their wives will have extramarital relations in their absence. From these findings, it was considered necessary to implement sexual and reproductive health policies with pluri‐ethnic and gender approaches that take into account male beliefs and practices regarding paternity and pregnancy in a rural context. The development of sensitizing policies aimed at migrant males during their stays in Mexico is recommended.     

Alzheimer's disease and euthanasia

Employing the tenets of philosophical materialism, this paper discusses the ethical debate surrounding assisted suicide for persons suffering end-stage Alzheimer's. It first presents a classification of the dissociative situations between "human individual" and "human person". It then moves on to discuss challenges to diagnosed persons and their caregivers in relation to the cardinal virtues of Spinozistic ethics - strength of character (fortitudo), firmness (animositas) and generosity (generositas). Finally, a number of ideas attached to the debate - "right of choice", "death with dignity", "quality of life" and "compassion in dying" - are discussed in order to clarify their foundations.     

The Determinants of Lottery Sales in Portugal

In sum, this paper examines the core determinants of lottery sales in Portugal. With panel data analysis covering 18 Portuguese districts and 5 years, this study explains the variations in a district’s per-capita lottery sales in terms of key theoretical hypotheses such as per capita district income, age, education index, gender and religion. This paper concludes that the richer Portuguese districts spend more than the poorer districts and there is an inverted-U relationship between lottery sales and per capita income. The paper also concludes that married Catholic citizens spend more on lottery products than others and that the level of education returns a negative effect on lottery spending.     

Crying for Food: The Mexican Myths of ‘La Llorona’ and ‘The Hungry Woman’ in Cherríe L. Moraga

The Mexican legend of ‘La Llorona’ (‘The Weeping Woman’), who drowned her children out of revenge for being abandoned by her lover, and the Aztec creation myth of ‘The Hungry Woman’ — crying constantly for food, with mouths all around her body — have inspired Chicana writers in the symbolic representation of their own yearning, be it sexual, identity-building, or anti-patriarchal. This essay seeks to lay the mythical groundwork within this topic, as well as to illustrate with some particular examples the different reappropriations of these myths in Cherríe L. Moraga, mainly in her play The Hungry Woman: A Mexican Medea (2001). With a view to opening up a past ‘that can provide a kind of road map to our future’ (: ix), these examples of transgressive women will be deprived of the feminine colonial passivity imbued by the dominant male discourse, and analysed as a complex, active, polyvalent mythological female corpus that integrates both life and death, womb and grave. This hybrid approach is inherent to the Aztec mythology on which Moraga relies in order to transcend Manichaeistic resolutions and probe the social, political, and gender reasons leading a hungry mother to commit infanticide.