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Attfield, S. (2020) Class on Screen: The Global Working Class in Contemporary Cinema. Palgrave Macmillan
No full textOn the little secondary Bruhat order
No full textLet and be two sequences of positive integers in nonincreasing order having the same sum. We denote by the class of all -matrices having row sum vector and column sum vector . Brualdi and Deaett (More on the Bruhat order for -matrices, Linear Algebra Appl., 421:219--232, 2007) suggested the study of the secondary Bruhat order on but with some constraints. In this paper, we study the cover relation and the minimal elements for this partial order relation, which we call the little secondary Bruhat order, on certain classes . Moreover, we show that this order is different from the Bruhat order and the secondary Bruhat order. We also study a variant of this order on certain classes of symmetric matrices of
Structured strong -ifications for structured matrix polynomials in the monomial basis
No full textIn the framework of Polynomial Eigenvalue Problems (PEPs), most of the matrix polynomials arising in applications are structured polynomials (namely, (skew-)symmetric, (skew-)Hermitian, (anti-)palindromic, or alternating). The standard way to solve PEPs is by means of linearizations. The most frequently used linearizations belong to general constructions, valid for all matrix polynomials of a fixed degree, known as companion linearizations. It is well known, however, that it is not possible to construct companion linearizations that preserve any of the previous structures for matrix polynomials of even degree. This motivates the search for more general companion forms, in particular companion -ifications. In this paper, we present, for the first time, a family of (generalized) companion -ifications that preserve any of these structures, for matrix polynomials of degree . We also show how to construct sparse -ifications within this family. Finally, we prove that there are no structured companion quadratifications for quartic matrix polynomials
Centrosymmetric universal realizability
No full textA list of complex numbers is said to be realizable, if it is the spectrum of an entrywise nonnegative matrix . In this case, is said to be a realizing matrix. is said to be universally realizable, if it is realizable for each possible Jordan canonical form (JCF) allowed by . The problem of the universal realizability of spectra is called the universal realizability problem (URP). Here, we study the centrosymmetric URP, that is, the problem of finding a nonnegative centrosymmetric matrix for each JCF allowed by a given list . In particular, sufficient conditions for the centrosymmetric URP to have a solution are generated
A note on commuting additive maps on rank k symmetric matrices
No full textLet and 1<k\leq n be integers. Let be the linear space of symmetric matrices over a field of characteristic not two. In this note, we prove that an additive map satisfies for all rank matrices if and only if there exists a scalar and an additive map such thatfor all , where is the identity matrix. Examples showing the indispensability of assumptions on the integer k>1 and the underlying field of characteristic not two are included
Polar decompositions of quaternion matrices in indefinite inner product spaces
No full textPolar decompositions of quaternion matrices with respect to a given indefinite inner product are studied. Necessary and sufficient conditions for the existence of an -polar decomposition are found. In the process, an equivalent to Witt's theorem on extending -isometries to -unitary matrices is given for quaternion matrices
Running head: Bail, Reform, and Foucault’s Dangerous Individual
No full textOver 2.5 million people in the US are incarcerated annually for the sole reason that they cannot afford cash bail. This nearly exclusively affects the working-class, and disproportionately affects Black and brown individuals and communities. Whether someone is incarcerated pending trial affects employment, family stability, and even likelihood of conviction. Across the US, reform efforts are being considered and adopted, but in this paper, I use a political theory approach to argue that racial capitalist ideologies that construct the accused as specifically ‘dangerous’ impede just policy transformation. I start by centralizing Michel Foucault’s genealogy of the ‘dangerous individual’ as a frame for analyzing the logics and movement of the dangerous figure, and then re-situate the concept of the dangerous person in the contemporary US bail context. Ultimately, I argue that the dominance of oppressive ideologies in the bail discourse demonstrates the pervasive race and class biases that persist in the criminal justice apparatus, even in policy reform approaches that promise unbiased outcomes like algorithmic assessments
Social and Economic Costs of Inequality in the State of Virginia
No full textThis study examined selected social and economic costs of inequality in the state of Virginia. We explored the extent of inequality of place across the state, finding significant inequalities between counties on measures such as household income, poverty, college completion, single parenthood, and racial segregation. These inequalities of place were strongly associated with inequalities in the adult outcomes of children raised in different areas of the state, including unequal household income and unequal rates of upward mobility, college completion, incarceration, and marriage in adulthood. When examining the association between homicides and concentrated disadvantage in the capital city of Richmond, our mapping techniques demonstrated a strong association. Finally, we estimated that child poverty results in billions of dollars of economic costs to the state each year.