Generalised prime systems with periodic integer counting function

We study generalised prime systems (both discrete and continuous) for which the `integer counting function' N(x) has the property that N(x) ¡ cx is periodic for some c > 0. We show that this is extremely rare. In particular, we show that the only such system for which N is continuous is the trivial system with N(x) ¡ cx constant, while if N has finitely many discontinuities per bounded interval, then N must be the counting function of the g-prime system containing the usual primes except for finitely many. Keywords and phrases: Generalised prime systems. I

It was never good world sence minister must have wyves”: clerical celibacy, clerical marriage, and anticlericalism in Reformation England

The impact of the Reformation was felt strongly in the nature and character of the priesthood, and in the function and reputation of the priest. A shift in the understanding of the priesthood was one of the most tangible manifestations of doctrinal change, evident in the physical arrangement of the church, in the language of the liturgy, and in the relaxation of the discipline of celibacy, which had for centuries bound priests in the Latin tradition to a life of perpetual continence. Clerical celibacy, and accusations of clerical incontinence, featured prominently in evangelical criticisms of the Catholic church and priesthood, which made a good deal of polemical capital out of the perceived relationship of the priest and the efficacy of his sacred function. Citing St Paul, Protestant polemicists presented clerical marriage as the only, and appropriate remedy, for priestly immorality. But did the advent of a married priesthood create more problems than it solved? The polemical certainties that informed evangelical writing on sacerdotal celibacy did not guarantee the immediate acceptance of a married priesthood, and the vocabulary that had been used to denounce clergy who failed in their obligation to celibacy was all too readily turned against the married clergy. The anti-clerical lexicon, and its usage, remained remarkably static despite the substantial doctrinal and practical challenges posed to the traditional model of priesthood by the Protestant Reformation.

Aerosols implicated as a prime driver of twentieth-century North Atlantic climate variability

Systematic climate shifts have been linked to multidecadal variability in observed sea surface temperatures in the North Atlantic Ocean1. These links are extensive, influencing a range of climate processes such as hurricane activity2 and African Sahel3, 4, 5 and Amazonian5 droughts. The variability is distinct from historical global-mean temperature changes and is commonly attributed to natural ocean oscillations6, 7, 8, 9, 10. A number of studies have provided evidence that aerosols can influence long-term changes in sea surface temperatures11, 12, but climate models have so far failed to reproduce these interactions6, 9 and the role of aerosols in decadal variability remains unclear. Here we use a state-of-the-art Earth system climate model to show that aerosol emissions and periods of volcanic activity explain 76 per cent of the simulated multidecadal variance in detrended 1860–2005 North Atlantic sea surface temperatures. After 1950, simulated variability is within observational estimates; our estimates for 1910–1940 capture twice the warming of previous generation models but do not explain the entire observed trend. Other processes, such as ocean circulation, may also have contributed to variability in the early twentieth century. Mechanistically, we find that inclusion of aerosol–cloud microphysical effects, which were included in few previous multimodel ensembles, dominates the magnitude (80 per cent) and the spatial pattern of the total surface aerosol forcing in the North Atlantic. Our findings suggest that anthropogenic aerosol emissions influenced a range of societally important historical climate events such as peaks in hurricane activity and Sahel drought. Decadal-scale model predictions of regional Atlantic climate will probably be improved by incorporating aerosol–cloud microphysical interactions and estimates of future concentrations of aerosols, emissions of which are directly addressable by policy actions.

Interlateral asymmetry in the time course of the effect of a peripheral prime stimulus

Evidence exists that both right and left hemisphere attentional mechanisms are mobilized when attention is directed to the right visual hemifield and only right hemisphere attentional mechanisms are mobilized when attention is directed to the left visual hemifield. This arrangement might lead to a rightward bias of automatic attention. The hypothesis was investigated by testing male volunteers, wherein a ""location discrimination"" reaction time task (Experiments 1 and 3) and a ""location and shape discrimination"" reaction time task (Experiments 2 and 4) were used. Unilateral (Experiments 1 and 2) and unilateral or bilateral (Experiments 3 and 4) peripheral visual prime stimuli were used to control attention. Reaction time to a small visual target stimulus in the same location or in the horizontally opposite location was evaluated. Stimulus onset asynchronies (SOAs) were 34, 50, 67, 83 and 100 ms. An important prime stimulus attentional effect was observed as early as 50 ms in the four experiments. In Experiments 2, 3 and 4, this effect was larger when the prime stimulus occurred in the right hemifield than when it occurred in the left hemifield for SOA 100 ms. In Experiment 4, when the prime stimulus occurred simultaneously in both hemifields, reaction time was faster for the right hemifield and for SOA 100 ms. These results indicate that automatic attention tends to favor the right side of space, particularly when identification of the target stimulus shape is required. (c) 2007 Elsevier Inc. All rights reserved.

REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Q(n) x Z AND Z[1/p](n) x Z, p PRIME

In this paper, we study the Reidemeister spectrum for metabelian groups of the form Q(n) x Z and Z[1/p](n) x Z. Particular attention is given to the R(infinity)-property of a subfamily of these groups.

PrIMe: A Methodology for Developing Provenance-Aware Applications

Provenance refers to the past processes that brought about a given (version of an) object, item or entity. By knowing the provenance of data, users can often better understand, trust, reproduce, and validate it. A provenance-aware application has the functionality to answer questions regarding the provenance of the data it produces, by using documentation of past processes. PrIMe is a software engineering technique for adapting application designs to enable them to interact with a provenance middleware layer, thereby making them provenance-aware. In this article, we specify the steps involved in applying PrIMe, analyse its effectiveness, and illustrate its use with two case studies, in bioinformatics and medicine.

A importância da gestão de marketing em empresa inovadora: estudo de empresa do Prime - Programa Primeira Empresa Inovadora

As pesquisas demonstram que empresas nascentes, mesmo aquelas que possuem produtos, processos ou serviços inovadores, novos ao mercado, têm muita dificuldade em permanecer com suas portas abertas nos primeiros dois anos, ou seja, a grande maioria das empresas encerra suas atividades antes de completar dois anos de existência. Diante deste fato, este estudo investiga a importância da gestão em Marketing nas empresas inovadoras com a finalidade de obter sucesso na inserção de produto, serviço ou processo em mercado altamente competitivo (PRIME, 2010). O estudo é fundamentado por uma seção empírica, baseada em pesquisa bibliográfica, documental e de campo, além da realização de estudo de caso que procurou tratar de alguns aspectos de Marketing em empresa beneficiária do PRIME – Programa Primeira Empresa Inovadora, que é um programa de Subvenção Econômica do Governo Federal, lançado pela Financiadora de Estudos e Projetos (FINEP), uma empresa pública vinculada ao Ministério da Ciência, Tecnologia e Inovação (MCTI). Neste estudo foi verificado que uma estratégia de Marketing consciente e eficaz influencia o sucesso competitivo de empresas inovadoras, através de produto ou serviço diferenciado para inserção no mercado.

The corporate financial effects of corporate social responsibility, as executed by, and impacted upon, Prime Bank Limited, Bangladesh

Corporate Social Responsibility (CSR) is being implemented in the corporate world at an ever increasing rate, benefitting societies around the world. Several theories have been proposed that contend that the corporations who are implementing CSR programs also benefit financially, making the relationship a symbiotic one. This paper analyzes the financial health of Prime Bank Limited, Bangladesh, (PBL) over a period of a decade in order to determine if PBL has indeed benefited financially from implementing its CSR program. The analysis focuses on examining PBL’s internal and external financial indicators over an extended period of time to determine what the net effect, if any, that the CSR program has had on them. This analysis concludes that the evidence does not support the claim of a causal relationship between CSR spending and positive effects upon PBL, as measured by PBL’s financial indicators.