12,109 research outputs found

    The Singularities of the Wave Trace of the Basic Laplacian of a Riemannian Foliation

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    We apply techniques of microlocal analysis to the study of the transverse geometry of Riemannian foliations in order to analyze spectral invariants of the basic Laplacian acting on functions on a Riemannian foliation with a bundle-like metric. In particular, we consider the trace of the basic wave operator when the mean curvature form is basic. We extend the concept of basic functions to distributions and demonstrate the existence of the basic wave kernel. The singularities of the trace of this basic wave kernel occur at the lengths of certain geodesic arcs which are orthogonal to the closures of the leaves of the foliation. In cases when the foliation has regular closure, a complete representation of the trace of the basic wave kernel can be computed for t≠0t\not=0. Otherwise, a partial trace formula over a certain set of lengths of well-behaved geodesic arcs is obtained

    A Method to Separate Stochastic and Deterministic Information from Electrocardiograms

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    In this work we present a new idea to develop a method to separate stochastic and deterministic information contained in an electrocardiogram, ECG, which may provide new sources of information with diagnostic purposes. We assume that the ECG has information corresponding to many different processes related with the cardiac activity as well as contamination from different sources related with the measurement procedure and the nature of the observed system itself. The method starts with the application of an improuved archetypal analysis to separate the mentioned stochastic and deterministic information. From the stochastic point of view we analyze Renyi entropies, and with respect to the deterministic perspective we calculate the autocorrelation function and the corresponding correlation time. We show that healthy and pathologic information may be stochastic and/or deterministic, can be identified by different measures and located in different parts of the ECG.Comment: 4 pages, 6 figure

    Digital workers of the World unite! A framework for critically theorising and analysing digital labour

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    The overall task of this paper is to elaborate a typology of the forms of labour that are needed for the production, circulation and use of digital media. First, we introduce a cultural-materialist perspective on theorising digital labour. Second, we discuss the relevance of Marx’s concept of the mode of production for the analysis of digital labour. Third, we introduce a typology of the dimensions of working conditions. Fourth, based on the preceding sections we present a digital labour analysis toolbox. Finally, we draw some conclusions. We engage with the question what labour is, how it differs from work, which basic dimensions it has and how these dimensions can be used for defining digital labour. We introduce the theoretical notion of the mode of production as analytical tool for conceptualizing digital labour. Modes of production are dialectical units of relations of production and productive forces. Relations of production are the basic social relations that shape the economy. Productive forces are a combination of labour power, objects and instruments of work in a work process, in which new products are created. We have a deeper look at dimensions of the work process and the conditions under which it takes place. We present a typology that identifies dimensions of working conditions. It is a general typology that can be used for the analysis of any production process
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