69,175 research outputs found

    The Intuitive Logarithm

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    We introduce the intuitive method to select an analytic Abel function of an analytic function f at a non-fixpoint. Due to the complexity of this method by involving matrix inversion of increasing size there is little known about its convergence. We show its convergence in the simplest but still complicated case f(x)=bx. We show that the obtained Abel function is, as expected, the logarithm to base b, independent on its development point. As a by-product we obtain a new polynomial approximation sequence for the logarithm to base b.Comment: 12 page

    A Language for Configuring Multi-level Specifications

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    This paper shows how systems can be built from their component parts with specified sharing. Its principle contribution is a modular language for configuring systems. A configuration is a description in the new language of how a system is constructed hierarchically from specifications of its component parts. Category theory has been used to represent the composition of specifications that share a component part by constructing colimits of diagrams. We reformulated this application of category theory to view both configured specifications and their diagrams as algebraic presentations of presheaves. The framework of presheaves leads naturally to a configuration language that expresses structuring from instances of specifications, and also incorporates a new notion of instance reduction to extract the component instances from a particular configuration. The language now expresses the hierarchical structuring of multi-level configured specifications. The syntax is simple because it is independent of any specification language; structuring a diagram to represent a configuration is simple because there is no need to calculate a colimit; and combining specifications is simple because structuring is by configuration morphisms with no need to flatten either specifications or their diagrams to calculate colimits

    The first global entertainment company: Explaining Pathe's dominance in the pre-Hollywood film industry

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    For almost a decade before Hollywood existed, French firm Pathe towered over the early film industry with estimates of its share of all films sold around the world varying between 50-70%. Pathe was the first global entertainment company. This paper analyses its rise to market leadership by applying a theoretical framework drawn from the business literature on causes of industry dominance, which provides insights into how firms acquire and maintain market dominance and in this case the film industry. This paper uses evidence presented by film historians to argue that Pathe "fits" the expected theoretical model of a dominant firm because it had a marketing orientation, used an effective quality-based competitive strategy and possessed the six critical marketing capabilities that business research shows enable the best performing firms to consistently outperform rivals

    Collaborative Strategies for Day Labor Centers

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    This guide is designed to assist local officials, immigrant serving organizations, day labor center planners and leadership, and others to understand how collaborative relationships and partnerships can help communities to effectively establish, support and sustain day labor centers

    Diasporas, Development and Governance in the Global South

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    Diasporas are increasingly recognized as key development resources for low- and middle-income countries. Thus, governments in the Global South are turning to their own extra-national diasporic populations in order to boost economic development, build global trading and investment networks and increase their political leverage overseas. The main goals of the conference on Diasporas, Development and Governance in the Global South were to enhance international understanding of the role of diasporas in development, identify best practices for policy engagement of diasporas and facilitate Canadian diaspora engagement in development. The conference focused on three main areas: Critical examination of efforts by international organizations and governments in the South and North to facilitate development in the Global South through engagement with diasporas; Identification of new trends and best practices in diaspora engagement; and Assessment of the current and potential role of migrant diasporas in Canada in the economic, social and political development of the Global South. The conference was open to the public and brought together leading international researchers, policy makers, and diaspora organizations for a focused discussion and dialogue on the governance of diaspora engagement

    Deep-seated barriers to end-of-life-care improvement in the twenty-first century

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