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    Quale qualità del lavoro per le donne nella meccanica modenese? Una ricerca sul campo

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    The concept of “Quality of Work” (in Italian, QdL) has a central role in the analysis of the working conditions. It becomes even more actual and important when the economy is going through an extended crisis and the analysis concernes the conditions of working life of women employed in a sector considered typically male as the engineering one. The paper analyzes, through the methodologies of automatic text analysis, twelve interviews realized in 2012 in the context of the project “SONIA. The mechanics of women”, a research project developed by Officina Emilia initiative of the University of Modena and Reggio Emilia. The three firms (BD Torneria, WAM, TetraPak) are located in the engineering district of the province of Modena, but they are extremely different for dimension, typology and for the policies reserved to female workers. The aim of the paper is to identify which words are used by interviewees to describe the different dimensions of the Quality of Work that can be found in literature and to verify if and how these words change depending on the variables linked to size of the firm, its typology and to gender policies

    A nonlocal anisotropic eigenvalue problem

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    We determine the shape which minimizes, among domains with given measure, the first eigenvalue of the anisotropic laplacian perturbed by an integral of the unknown function. Using also some properties related to the associated wisted"problem, we show that, this problem displays a saturation phenomenon: The first eigenvalue increases with the weight up to a critical value and then remains constant

    The anisotropic ∞-Laplacian eigenvalue problem with Neumann boundary conditions

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    We analyze the limiting problem for the anisotropic p-Laplacian (p → ∞) on convex sets, with the mean of the viscosity solution. We also prove some geometric properties of eigenvalues and eigenfunctions. In particular, we show the validity of a Szegö-Weinberger type inequality

    Pseudo-orthogonality for graph 1-Laplacian eigenvectors and applications to higher Cheeger constants and data clustering

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    The data clustering problem consists in dividing a data set into prescribed groups of homogeneous data. This is an NP-hard problem that can be relaxed in the spectral graph theory, where the optimal cuts of a graph are related to the eigenvalues of graph 1-Laplacian. In this paper, we first give new notations to describe the paths, among critical eigenvectors of the graph 1-Laplacian, realizing sets with prescribed genus. We introduce the pseudo-orthogonality to characterize m3(G), a special eigenvalue for the graph 1-Laplacian. Furthermore, we use it to give an upper bound for the third graph Cheeger constant h3(G), that is, h3(G) ⩽ m3(G). This is a first step for proving that the k-th Cheeger constant is the minimum of the 1-Laplacian Raylegh quotient among vectors that are pseudo-orthogonal to the vectors realizing the previous k − 1 Cheeger constants. Eventually, we apply these results to give a method and a numerical algorithm to compute m3 (G), based on a generalized inverse power method
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