University of Wyoming Open Journals
Not a member yet
3193 research outputs found
Sort by
Fields of U-invariants of matrix tuples
No full textThe general linear group acts on the direct sum of copies of by the adjoint action. The action of induces the action of the unitriangular subgroup . We present the system of free generators of the field of -invariants
Adapted AZNN methods for time-varying and static matrix problems
No full textWe present adapted Zhang neural networks (AZNN) in which the parameter settings for the exponential decay constant and the length of the start-up phase of basic ZNN are adapted to the problem at hand. Specifically, we study experiments with AZNN for time-varying square matrix factorizations as a product of time-varying symmetric matrices and for the time-varying matrix square roots problem. Differing from generally used small values and minimal start-up length phases in ZNN, we adapt the basic ZNN method to work with large or even gigantic settings and arbitrary length start-ups using Euler's low accuracy finite difference formula. These adaptations improve the speed of AZNN's convergence and lower its solution error bounds for our chosen problems significantly to near machine constant or even lower levels. Parameter-varying AZNN also allows us to find full rank symmetrizers of static matrices reliably, for example, for the Kahan and Frank matrices and for matrices with highly ill-conditioned eigenvalues and complicated Jordan structures of dimensions from on up. This helps in cases where full rank static matrix symmetrizers have never been successfully computed before
Pareto H-eigenvalues of nonnegative tensors and uniform hypergraphs
No full textThe Pareto H-eigenvalues of nonnegative tensors and (adjacency tensors of) uniform hypergraphs are studied. Particularly, it is shown that the Pareto H-eigenvalues of a nonnegative tensor are just the spectral radii of its weakly irreducible principal subtensors, and those hypergraphs that minimize or maximize the second largest Pareto H-eigenvalue over several well-known classes of uniform hypergraphs are determined
Sparks of symmetric matrices and their graphs
No full textThe spark of a matrix is the smallest number of nonzero coordinates of any nonzero null vector. For real symmetric matrices, the sparsity of null vectors is shown to be associated with the structure of the graph obtained from the off-diagonal pattern of zero and nonzero entries. The smallest possible spark of a matrix corresponding to a graph is defined as the spark of the graph. Connections are established between graph spark and well-known concepts including minimum rank, forts, orthogonal representations, Parter and Fiedler vertices, and vertex connectivity
Weak log-majorization and inequalities of power means
No full textAs noncommutative versions of the quasi-arithmetic mean, we consider the Lim-Pálfia's power mean, Rényi right mean, and Rényi power means. We prove that the Lim-Pálfia's power mean of order is weakly log-majorized by the log-Euclidean mean and fulfills the Ando-Hiai inequality. We establish the log-majorization relationship between the Rényi relative entropy and the product of square roots of given variables. Furthermore, we show the norm inequalities among power means and provide the boundedness of Rényi power mean in terms of the quasi-arithmetic mean
Dropping Voices: Southern Black Agrarian Revolt in Charles Chesnutt’s Fiction
No full textThis essay places Charles Chesnutt’s work at the intersection of race and class in order to address the still debated question of Chesnutt’s relation to the black working-class and reinterpret his now canonical fiction as deeply entwined with the political and economic life of the black agrarian masses of the US South. I argue that the conjure tales’ centrality to turn-of-the-century American literature is in its full-throated representation of the economic demands of the black agrarian masses. Furthermore, when Chesnutt ‘dropped’ Julius as his ‘mouthpiece’ his writing ultimately left behind the masses and began to speak in the accents of metropolitan self-making. I address a range of Chesnutt’s works to demonstrate the key developments in how Chesnutt imagined racial uplift and how the black agrarian masses were to be employed in razing American apartheid. This essay then gives evidence to show Chesnutt’s growing skepticism of large dispersed political movements of the masses like Black Populism in favor of the concentrated exemplars of outstanding individuals
What does it mean to be working class? Exploring the definition of a social class identity through the eyes of working-class professional services and administrative staff in Russell Group universities
No full textWhat it means to have a working-class identity in the UK today is constantly under tension and debate. From socio-economic proxies used by large organisations as determinants of disadvantage to POLAR data, self identification and other metrics, academic literature has largely disagreed how to measure working class as an identity over the last 20 years. This paper draws on the findings from two parts of an EdD thesis which looked to understand the experiences of working-class professional services staff in UK Higher Education. Here, it presents the findings of the literature review which discovered the multiple ways in which working class identities are determined for the purposes of research recruitment in academic papers. In the subsequent part of this paper, empirical data from interviews with working class staff in UK Higher Education looks at the facets which participants considered defined them as having a working-class identity. Moving away from traditional conceptualisation of a working-class identity as solely connected to the means of production, it suggests that a working-class identity is inherently connected to many factors in 2023, predominantly to economic disadvantage but also by occupation, social mobility discourse, and access to goods technology and entertainment. Furthermore, it finds that there are implicit features of a working-class identity shared across the study which include access to facilitating networks, narratives of luck, and being underappreciated and undervalued. This interplay between the convergence of habitus and lived experience suggests that working-class people in UK universities are subject to a lamination of field, an intersection of multiple temporalitie
Strategically Inclusive E-Learning Design
No full textModeling strategic flexibility and experiential learning approaches, this module focuses on foundational concepts for designing accessible educational materials and applying Universal Design for Learning (UDL) guidelines. The module was implemented during two weeks of a 16-week asynchronous online graduate course on e-learning pedagogy and design. Content is represented in varied forms, including video presentations and readings. A structured discussion offers asynchronous and synchronous options and utilizes a five-step scaffold to consider UDL-related prompts applied to provided lesson scenarios. Students complete a hands-on activity to better understand accessible document design
Demolition Derby, Working-Class Identity, and Capitalist Geographies
No full textIn order to understand the formations of identities within a working-class population, this paper draws on ethnographic field research with participants and fans of demolition derby competitions in two regions of Arkansas. It attempts what Arjun Appadurai calls a ‘genealogical’ reading to discover within semiotic evidence foreclosures of identity that challenge the power of capitalist fixation and movement of value within and through these regions. The paper uses the term ‘material integrity’ to describe how participants and fans of demolition derby understand the economic dynamics in which they participate. In Northwest Arkansas, a region characterized by the fixation of capital, class is ‘read down’ by nominating perceived lower classes, but in White County, Arkansas, a region with little fixed capital, class is ‘read up.’ As a ground-up spectacle and performance, demolition derby reveals the value of material integrity as an integral aspect of a working-class identity and provides some evidence of what Don Mitchell calls ‘working-class geographies’ and Ben Rogaly’s ‘non-elite cosmopolitanism.