2 resultados para Gauss Reciprocity
em Université de Montréal
Resumo:
Objective: Adolescent depressive symptoms are associated with difficult family relationships. Family systems and interpersonal theories of depression suggest that this association could reflect a circular process in which symptoms and family functioning affect each other over time. Few longitudinal studies have tested this hypothesis, and the results of these studies have been equivocal. In this study, we examine reciprocal prospective associations in early adolescence between depressive symptoms and 2 important aspects of parent–child relationships: communication and conflict. Methods: Participants were 3862 students who annually filled out self-reports. Path analysis was used to examine prospective associations between depressive symptoms and perceived communication and conflict with parents from the age of 12 to 13 and 14 to 15 years. Independence of these associations was assessed by controlling for family context (parental separation and family socioeconomic status) and adolescent behaviour problems (delinquent behaviours and substance use). Sex differences were evaluated with multiple group analysis. Results: Reciprocal prospective associations were found between depressive symptoms and perceived conflict with parents, but not between depressive symptoms and communication with parents. Depressive symptoms were found to predict poorer communication with parents over time, but communication was not predictive of lower depressive symptoms in subsequent years. All paths were sex-invariant and independent from family context and behaviour problems. Conclusion: This study highlights the importance of considering the potential impact of adolescent symptomatology on parent–child relationships and suggests that reciprocity may characterize the association between depressive symptoms and negative aspects of parent–child relationships. The role of adolescent perceptions in the interplay between depressive symptoms and family relationships remains to be clarified.
Resumo:
L'objectif de ce mémoire est de dénombrer les polynômes irréductibles unitaires sur un corps fini en prescrivant des contraintes sur les coefficients. Dans les prochaines pages, il sera question de fixer simplement des coefficients, ou simplement de fixer leur signe, leur cubicité ou leur quarticité.