6,502 research outputs found

    Quasi-arithmeticity of lattices in PO(n,1)

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    We show that the non-arithmetic lattices in PO(n,1) of Belolipetsky and Thomson (2011), obtained as fundamental groups of closed hyperbolic manifolds with short systole, are quasi-arithmetic in the sense of Vinberg, and, by contrast, the well-known non-arithmetic lattices of Gromov and Piatetski-Shapiro are not quasi-arithmetic. A corollary of this is that there are, for all n≥2n\geq 2, non-arithmetic lattices in PO(n,1) that are not commensurable with the Gromov--Piatetski-Shapiro lattices.Comment: 10 pages, 2 figures. This version: minor typos corrected and journal reference added. Final published version available at link.springer.com. Geometriae Dedicata (2015

    Natural immunity, and natural antibody reactions

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    This thesis records the results of investigations into certain phenomena in natural immunity and natural antibody reactions. Many of the experiments were exceedingly complex and the tables of results are also, therefore, complex. Typical examples of the various phenomena encountered are expressed only once in order that the thesis be not overweighted with tables. Every step has been taken towards simplification of the expression of results. For this reason also, the thesis does not include any protocols of the experiments

    Leadership for innovation – why manufacturing has a future in Australia

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    In this paper, business leaders discuss the leadership styles they have used to ensure their companies are manufacturing success stories, and then these experiences are analysed to outline the leadership needs for innovation in Australia. Introduction With dire predictions about the future of manufacturing in Australia, we should remember that manufacturing has been an important contributor to national development. There was a thriving manufacturing industry up to 1945, sufficient to supply most domestic needs. Post-war, new industries flourished and a golden era of manufacturing followed. By the late 1950s manufacturing accounted for 29% of Australia’s GDP. By the 1960s, growth and productivity was faltering and manufacturing had begun to stagnate. Today, manufacturing accounts for less than 10% of Australia’s GDP, the lowest level since early colonial times. This is due, in large part, to global economic changes and the economic processes of comparative advantage. However, the innovative spirit that drove previous successes remains and a new generation of leaders and enterprises has emerged. Two of these innovative leaders presented case studies of their firms at a Swinburne Leadership Dialogue in June 2014. Richard Simpson of Furnace Engineering and Robert Wilson of the Wilson Transformer Company discussed the leadership styles and approaches they have used to ensure their companies are – and remain – national manufacturing success stories. Scott Thompson-Whiteside of Swinburne University of Technology then analyses their experiences to outline the leadership needs for innovation in Australia

    Workshop on entrepreneurial finance: a summary

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    This Policy Discussion Paper summarizes papers that were presented at the Workshop on Entrepreneurial Finance, which was held March 12?13, 2009, at the Federal Reserve Bank of Cleveland. Researchers presented new empirical research that exploits data sets on entrepreneurial activity that are based on broad and representative data samples. Papers in the workshop focused primarily on analyses of the sources and structure of start-up finance, including the importance of bank lending, venture capital, angel investors, and owner equity.Small business - Finance

    Short Geodesics in Hyperbolic Manifolds

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    Given a closed Riemannian n-manifold M, its shortest closed geodesic is called its systole and the length of this geodesic is denoted syst_1(M). For any ε > 0 and any n at least 2 one may construct a closed hyperbolic n-manifold M with syst_1(M) at most equal to ε. Constructions are detailed herein. The volume of M is bounded from below, by A_n/syst_1(M)^(n−2) where A_n is a positive constant depending only on n. There also exist sequences of n-manifolds M_i with syst_1(M_i) → 0 as i → ∞, such that vol(M_i) may be bounded above by a polynomial in 1/syst_1(M_i). When ε is sufficiently small, the manifold M is non-arithmetic, so that its fundamental group is an example of a non-arithmetic lattice in PO(n,1). The lattices arising from this construction are also exhibited as examples of non-coherent groups in PO(n,1). Also presented herein is an overview of existing results in this vein, alongside the prerequisite theory for the constructions given

    Development of a Temperature Measurement Technique Using Molecular Tagging Velocimetry

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    A summary of the development of a method of measuring fluid temperature with a laser is presented. The method is based on molecular tagging velocimetry (MTV), an established technique of obtaining spatially-resolved fluid velocity profiles by analysis of laser-induced molecular phosphorescence emitted by photoluminescent chemicals. In aqueous solutions the intensity of the phosphorescent emission is inversely related to the temperature of the fluid. Research into quantifying the relationship between the solution temperature and emission intensity has resulted in the development of a calibration curve which may be used for subsequent temperature measurements. Error analysis shows that temperatures may be determined over a range of nearly 30oC with a typical error of less than +/- 2.66% or +/- 0.8oC, with a 95% confidence level. A discussion of the technique development, including experimental methods, calibration curve development, and error analysis, is here presented

    The unknown tongue : postponing language and the anonymous

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    in the following thesis, I argue for an interpretation of relationality on the basis of the opacity that separates perceiving subjects. Although a great deal has been written about relationality, my own project tries to demonstrate that paying close attention to the role of language and time in the explication of separation can provide us with further insights into the conditions upon which relationality is based. The structure of the thesis directly supports, at a formal level, my interpretation of subjectivity as that which, because it revolves around the absence of a unified identity "I" could call its own true self, is always in the process of arriving out of obscurity. The link between the structure of the thesis and its thematic development is inscribed in the question that guides my interpretation of relationality: How to name the anonymous? My invocation of this long-standing and recurring question in the disciplines of philosophy and the practice of narrative is intended to highlight the important role signification plays in the explication of opacity as itself a name appropriate to the discussion of relationality. In the first section I provide an introduction to terms that will figure prominently throughout the thesis against the background of Emmanuel Levinas' critique of the Other and Jean-François Lyotards critique of the sublime. In the Interlude I provide an argument supporting the inclusion of a number of Latin American authors in the thesis (namely, Alejo Carpentier, Gabriel Garcia Marquez, Carlos Fuentes, Juan Rulfo and Octavio Paz) on the basis of their relation to absence. It is this relation that helps to clarify the terms introduced in the first section and which provides a close analysis of duplicity in the explication of the separation of relation. Finally, in section five, I take the reader back to the middle, to the very temporality of the between, the separation which conditions relationality, in an explication of postponement, a term I employ in varying degrees throughout the thesis. My critique of postponement is based on Carlos Fuentes' reading of Denis Diderot and Nikolai Gogol and Elizabeth Deeds Ermarth's Sequel To History: Postmodernism and the Crisis of Representational Time, both of which provide us with a language by which to conceptualise the role of postponement in the approach to the question 'How to name the anonymous'. In this way, I hope to construct, through the tight linkage between form and content in the thesis itself, the very thing which the language and the temporality of the thesis are seeking to name

    Improving Speech Communication in High Noise Environments

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    During speech the vocal folds vibrate resulting in audible sounds that are transmitted through the vocal tract as well as vibrations that are transmitted through the body tissue to the skin surface. These skin surface vibrations can be detected by contact microphones and used to transmit speech. However, the skin attenuates high frequency content and in some locations muffles the signal resulting in poor speech quality. To reconstruct a signal that better matches the microphone signal a finite impulse response filter is fit to an average transfer function of the accelerometer signal. When implemented this filter restores much of the lost frequency content and in the presence of background noise results in a signal with good intelligibility and less noise than the microphone signal
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