THE FUNDAMENTAL FORMULA OF BLASCHKE IN INTEGRAL GEOMETRY AND GEOMETRICAL PROBABILITY, AND ITS ITERATION, FOR DOMAINS WITH FIXED ORIENTATIONS

The so-called “principal formulae” of planar integral geometry are conventionally couched in terms of the “kinematic density”dxdydθ. Here a corresponding theory with respect to the “Lebesgue density”dxdy, that is with rotations suppressed, is developed. The only real difference is that the new “fundamental formula of Blaschke”contains a term depending upon the relative orientations of the two domains involved. In particular, the remarkable iteration property of these formulae carries over. The usual principal formulae follow as a corollary of the formulae given here, upon, averaging over orientations.     

Primary Integration and Political Involvement

An attempt is made to establish primary integration as a major variable in explaining citizen involvement in political life. It is argued that a convincing case requires a demonstration that the variable is both empirically important and theoretically meaningful. The former is examined through data from a sample survey of an English city. Theoretical meaning is established through focussing upon the idea of sociable talk as a key factor in reality construction, including the construction of political events as a proximate world available for the interest and participation by the individual.     

Neighborhood context and racial differences in early adolescent sexual activity

Evidence suggests that African American youths initiate sexual activity at earlier ages than do European American or Latino youths. Using data from a multilevel study in Chicago, we developed and tested a neighborhood-based model of the timing of first adolescent intercourse that emphasizes the impact of neighborhood structural disadvantage and collective efficacy on early sexual activity (at ages 11 to 16). In turn, we explored the extent to which neighborhood factors account for racial differences in the timing of first intercourse. The findings indicate that demographic background, family processes, peer influences, and developmental risk factors account for about 30% of the baseline increased likelihood of early sexual onset for African American youths compared with European American youths. However, a significant residual racial difference remained even after we considered a host of micro-level factors. Neighborhood-level concentrated poverty largely explained this residual racial difference. Collective efficacy also independently contributed to the delay of sexual onset. No significant baseline difference in age of sexual initiation was found between Latino and European American youths.     

Exploring self-care among dementia caregivers:the role of perceived support in accomplishing exercise goals

Support provided by family and friends may influence the extent to which older women who are primary caregivers for a spouse with dementia adhere to an exercise routine. The current study reports on qualitative interviews with 30 older female caregivers taking part in an exercise intervention regarding the support they received for their exercise goals. Results indicate that nearly all women received some level of verbal encouragement from family and friends, though far fewer had exercise partners or someone to stay with their husbands while they exercised. To reflect the wide variation observed in the amount of exercise support received and needed by caregivers, a typology of support situations was constructed as follows: Self-reliant, Well-supported, Under-supported, and Superfluous support. Implications for future exercise interventions targeting this population are discussed.     

Willingness to speak out about gay laws reform: some cause for optimism

We examined the extent to which people's private attitudes to gay law reform are influenced by the attitudes of others. Ninety-six university students were told that they were either in a minority or in a majority relative to their university group on their attitudes to gay law reform. Contrary to a number of assumptions made in the social psychological literature, participants who supported gay law reform were more prepared to act in line with their attitudes than were those who opposed gay law reform. Furthermore, anti-gay law reform participants appeared to reassess their attitudes when they were told they were in a minority; in contrast, pro-gay law reform participants were unaffected by the group norm. This suggests that anti-gay law reform attitudes are softer and more easily influenced than are pro-gay law reform attitudes. The implications of these results for activists are discussed.     

Effect of family structure on life satisfaction: australian evidence

How do family arrangements affect subjective well-being? We investigate this issue using data pooled from the IsssA and HILDA, both large, representative national samples of Australia (pooled n=38 447). Our regression analysis of cross-sectional and panel data examines how large are the differences in life satisfaction according to marital status and cohabitation. We find that women and men in formal marriages experience higher levels of life satisfaction than do people in other family arrangements. Moreover, both multiple tests in the cross-section, and tests controlling for prior happiness in the panel analysis, suggest that this is a causal relationship. Aggregating up the levels of life satisfaction generated by different marriage and cohabitation arrangements across a lifetime, suggests that a life-long marriage is the most satisfying. Early divorce followed by an enduring second marriage is little worse (because little time is spent outside the married state). But divorce without remarriage, or long lasting cohabitation without formal marriage, reduce the lifetime sum of subjective well-being by 4–12% for both women and men.     

Ethics in behavioral genetics research

As research in behavioral genetics uncovers the genetic contribution to human behavior, it will undoubtedly further our understanding of normal human variation in many behavioral traits, such as personality, intelligence, and sexuality. This research also shows great potential for the diagnosis, treatment, and prevention of mental illnesses. Recent findings underscore this potential and document the increasing validity of research methods--methods that in the past have led to mistaken inferences about genes "for" violent behavior and homosexuality. Although all research with human subjects requires adequate attention to its ethical aspects, certain ethical issues involved with behavioral genetics are particularly acute and deserve careful attention. This article reviews these selected major ethical issues arising in (1) the conduct of behavioral genetics research; and (2) the application of its research findings. While some of the ethical concerns in the latter category are likely to be of substantial importance and animate considerable popular concern, they currently fall outside the realm of traditional research review. Determining how to deal with these concerns should be a focus of future scholarly work.     

The career of the mentally ill: an integration of psychiatric, labeling/social construction, and lay perspectives

This paper provides a new way of conceptualizing the career of the mentally ill. Most persons who experience an episode of a serious mental disturbance lead a normal life, while a few persons lead lifetimes that revolve around their mental disorders. The processes leading to either result can only be understood by integrating the traditional labeling and psychiatric perspectives with lay understandings of the concepts of "mental illness" and "nervous breakdowns." A selection of key concepts from these perspectives leads to a better understanding of the different paths persons take as they move through the pre-patient, inpatient, and post-patient phases of the "career of the mentally ill." This perspective makes understandable a number of counterintuitive relationships. For example, it explains why most hospitalized mental patients (1) have a negative stereotype of the "mentally ill," (2) do not perceive themselves as "mentally ill, yet (3) perceive themselves as benefiting from treatment, and (4) do not progress into a career of secondary deviance.     

Food insufficiency and physical and mental health in a longitudinal survey of welfare recipients

Food insufficiency is a significant problem in the United States, and poor African American women with children are at especially high risk. An inadequate household food supply can potentially affect the well-being of household members, but it is difficult to distinguish the effects of food insufficiency from risk factors for poor health that are also common among the food insufficient, such as poverty. We examined food insufficiency and physical and mental health among African American and white women (n = 676) who were welfare recipients in 1997. Controlling for common risk factors, women who reported food insufficiency in both 1997 and 1998 were more likely to report fair or poor health at the later date. Food insufficiency in 1998 was significantly associated with meeting the diagnostic screening criteria for recent major depression. Food insufficiency at both times and in 1998 only was related to women's sense of mastery. These findings add to growing evidence that household food insufficiency is associated with poor physical and mental health.