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    Reframing Solidarity: Company Magazine as Family Album

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    We are witnessing a time of shrinking labor unions across the globe. Among member states of the Organisation for Economic Co-operation and Development, rates of union membership have declined from 30% in 1985 to 20% today (McCarthy 2017). In the U.S., the current rate is just 10.7% (Yadoo 2018). We have seen along with this the concomitant reduction in working-class and middle-class standards of living. Technological, political, and economic factors have impacted this change, but there is a cultural dimension to it as well. From the moment industrial unions in the U.S. gained power, corporations began to counter workingclass solidarity with alternative narratives that emphasized individualism, domesticity, and leisure. This article illuminates such efforts with a reading of one particularly sophisticated example from the mid-twentieth century, in which a steel corporation’s company magazine used workers’ own participation and self-representations in an effort to reorient notions of solidarity toward an identification with the corporation as family

    ‘Those People that are Invisible’: An Interview with Santee Frazier

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    This interview with Oklahoma poet and educator Santee Frazier discusses the context and creative process for his first book of poetry, Dark Thirty (2009), and the importance of language and place in Native American poetry

    Tectonics from topography: constraining spatial and temporal landscape response rates to Teton fault activity using low-T thermochronology, quantitative geomorphology, and limnogeologic analyses

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    Understanding how landscapes respond to tectonic and climatic forcing over a range of timescales remains a top priority for studies in tectonics, geomorphology, and geodynamics. To examine this, we are attempting to separate signals that define uplift, drainage incision, and sediment flux at multiple timescales (107 to 102 yrs). The Teton Range serves as an ideal natural laboratory for filtering this interplay due to its comparatively small size and consistent along-strike climatic variation. Recent studies indicate that Teton fault motion first initiated near Mount Moran at ~13 Ma in the northern portion of the range and slip onset gets younger to the south. No major climatic variations occur along strike, so tectonic forcing is interpreted to be the primary driver of landscape evolution. To test this hypothesis, we are evaluating ‘lag’ between fault slip onset and incision of drainages using AHe techniques combined with quantitative landscape analysis to constrain long-term response and analyzing seismic reflection and core data from range front lakes to determine sediment volume flux over shorter intervals. Preliminary data from a seismic survey completed in August 2018 reveals multiple depocenters in Jackson Lake. Results from the seismic survey and AHe analysis should be available in Spring 2019.   Featured photo by Gideon Rosenblatt on Flickr. https://flic.kr/p/2XjzY

    The properties of partial trace and block trace operators of partitioned matrices

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    The aim of this paper is to give the properties of two linear operators defined on non-square partitioned matrix: the partial trace operator and the block trace operator. The conditions for symmetry, nonnegativity, and positive-definiteness are given, as well as the relations between partial trace and block trace operators with standard trace, vectorizing and the Kronecker product operators. Both partial trace as well as block trace operators can be widely used in statistics, for example in the estimation of unknown parameters under the multi-level multivariate models or in the theory of experiments for the determination of an optimal designs under the linear models

    Rank Function and Outer Inverses

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    For the class of matrices over a field, the notion of `rank of a matrix' as defined by `the dimension of subspace generated by columns of that matrix' is folklore and cannot be generalized to the class of matrices over an arbitrary commutative ring. The `determinantal rank' defined by the size of largest submatrix having nonzero determinant, which is same as the column rank of given matrix when the commutative ring under consideration is a field, was considered to be the best alternative for the `rank' in the class of matrices over a commutative ring. Even this determinantal rank and the McCoy rank are not so efficient in describing several characteristics of matrices like in the case of discussing solvability of linear system. In the present article, the `rank--function' associated with the matrix as defined in [{\it Solvability of linear equations and rank--function}, K. Manjunatha Prasad, \url{http://dx.doi.org/10.1080/00927879708825854}] is discussed and the same is used to provide a necessary and sufficient condition for the existence of an outer inverse with specific column space and row space. Also, a rank condition is presented for the existence of Drazin inverse, as a special case of an outer inverse, and an iterative procedure to verify the same in terms of sum of principal minors of the given square matrix over a commutative ring is discussed

    On n/p-Asymptotic Distribution Of Vector Of Weighted Traces Of Powers Of Wishart Matrices

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    The joint distribution of standardized traces of 1nXX\frac{1}{n}XX' and of (1nXX)2\Big(\frac{1}{n}XX'\Big)^2, where the matrix X:p×nX:p\times n follows a matrix normal distribution is proved asymptotically to be multivariate normal under condition \frac{{n}}{p}\overset{n,p\rightarrow\infty}{\rightarrow}c>0. Proof relies on calculations of asymptotic moments and cumulants obtained using a recursive formula derived in Pielaszkiewicz et al. (2015). The covariance matrix of the underlying vector is explicitely given as a function of nn and pp

    Rényi's quantum thermodynamical inequalities

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    A theory of thermodynamics has been recently formulated and derived on the basis of Rényi entropy and its relative versions. In this framework, the concepts of partition function, internal energy and free energy are defined, and fundamental quantum thermodynamical inequalities are deduced. In the context of Rényi's thermodynamics, the variational Helmholtz principle is stated and the condition of equilibrium is analyzed. The %obtained results reduce to the von Neumann ones when the Rényi entropic parameter α\alpha approaches 1. The main goal of the article is to give simple and self-contained proofs of important known results in quantum thermodynamics and information theory, using only standard matrix analysis and majorization theory

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