13 research outputs found

    SOME PROPERTIES OF THE EULER QUOTIENT MATRIX

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    Let a and m be integers such that (a,m) = 1. Let qa = aφ(m)−1 m. We call qa the Euler Quotient of m with base a. This is called the Fermat Quotient when m is a prime. We consider some properties of the matrix of Euler Quotients reduced modulo m and show that these quotients are uniformly distributed modulo m

    Norms of factors of polynomials

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    E:\AJBM 4(3) 2012\4242-AJBM-DOI\4242-AJBM-DOI.wpd

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    Abstract: The electoral process in Jamaica has been uninterrupted since 1944. Two major political parties, the People's National Party (PNP) and the Jamaica Labour Party (JLP) have dominated the process of competing for the loyalty, affection and the votes of the populace. In a bid to exercise and/or capture the franchise of the electorate, violence and bloodshed have marred the electoral process. This study: 1) examines the murders during the governance of each political party in Jamaica from 1970 to 2009; and 2) explores patterns and distribution of murders over four decades. The current study uses secondary data from various Jamaican government publications, namely the Jamaica Survey of Living Conditions, Statistical Digest, Jamaica Constabulary Force and Economic and Social Survey of Jamaica. Between 1969 and 2010, on average 722± 453 (95%CI: 575-869) Jamaicans were murdered annually. Comparatively, there were 762±431 people murdered during the time the People's National Party (PNP) governed Jamaica to 631±507 in the tenure of the Jamaica Labour Party (JLP), which was not statistically different (t-test = 0.830, 0.412). However, the average number of murders in each decade (1970s, 1980s, 1990s, 2000s) was statistically different (F-statistic = 55.071, p<0.0001). The probability of being murdered in the 1970s was 0.09 compared to 0.16 in the 1980s, 0.27 in the 1990s and 0.48 in 2000s. The number of people murdered during the tenure of each political administration shows no statistical difference, which indicates that neither of the two political parties as a single variable can take credit for a lower murder rate. It also strongly forecasts the urgency needed to address the increased rate of murder experienced since 2000 in Jamaica

    The Social Psychology of Religion and Wellbeing: Is a Belief in a God, Good for one’s Wellbeing? An Empirical Inquiry

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    Objectives: The correlations between religion, age, education, ethnicity, social class, and subjective psychological wellbeing (SWB) of Jamaicans were examined and the predictability of those selected predisposing conditions on SWB were determined.Method: Analysis of the data was by bivariate and multivariate analyses, taken from a nationally representative survey of 1,338 Jamaican adults ≥18 years. The survey was conducted between July and August 2006 by the Centre of Leadership and Governance (CLG), Department of Government, the University of the West Indies, Mona-Jamaica.Findings: The findings indicated that religiosity was positively correlated with SWB as well as ethnicity, education and social class, and that gender was negatively related to SWB. It can be generalized, using multiple regressions, that religiosity, race, gender, education and social class can explain 7.7% of the variance in SWB of Jamaicans. Religiosity was found to be a weak predictor of subjective wellbeing (SWB), (1%), with race contributing 0.4% and gender at 0.3% been among the least suppliers to the model. However, self-reported social class made the most significant contribution to SWB - (3.9%) - along with years of schooling which contributed 2.2%.Conclusion: The study showed that religion provides for a different psychological state for its practitioners as well as influences the general state of wellbeing
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