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The general -Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
No full textLet be the space of matrices over , where is the real quaternion algebra. Let be the matrix obtained by applying entrywise to the transposed matrix , where and is a nonstandard involution of . In this paper, some properties of the Moore-Penrose inverse of the quaternion matrix are given. Two systems of mixed pairs of quaternion matrix Sylvester equations and are considered, where is -Hermitian. Some practical necessary and sufficient conditions for the existence of a solution to those systems in terms of the ranks and Moore-Penrose inverses of the given coefficient matrices are presented. Moreover, the general solutions to these systems are explicitly given when they are solvable. Some numerical examples are provided to illustrate the main results
Field school for cultural documentation: Jackson Hole dude ranching traditions
No full textA two-week field school in cultural documentation and folklife provided training in ethnographic methods, with a focus on researching dude ranching traditions in Jackson Hole, Wyoming. Eleven students and five faculty worked with the Triangle X Ranch in Grand Teton National Park to conduct 24 interviews with members of the Turner family (who founded and manage the ranch), employees, and guests, and to document buildings, landscapes, and activities on the ranch. Guests and employees value the genuine hospitality of the Turners, and the fact that the Triangle X is one of the few remaining old-style dude ranches that used to be numerous in the valley.
Featured photo from figure 2 in report
Ending Adjunct Apartheid
No full textAs has been well-documented, adjuncts, who often live beneath the poverty line, lack adequate financial compensation and job security for the work they do. What is not normally focused on is the way the apartheid structure of academe, which severs the adjunct from institutional support and protection, violates the core mission of academe. Academics are defined not as employees, but as professionals, and offered academic freedom because the larger society understands that their unfettered pursuit of knowledge leads to the betterment of humankind. This paper argues that academe, according to its own standards, is obligated to provide adjuncts, many of whom are independent scholars, far greater professional support and protection. The paper also explores empathy towards adjuncts and ways to overcome adjunct separation
Paleoseismic study of the Northern Teton Fault, Wyoming
No full textWe investigated the earthquake history of the northern portion of the Teton fault by excavating two trenches across a fault scarp near the eastern shore of Jackson Lake, near Steamboat Mountain. We identified the primary stratigraphy of the trenches, logged the trenches in detail, and collected samples for dating analyses. The trenches exposed faulted glacial sediments and overlying hill slope colluvium and alluvial sediments. Interpretation of the trench stratigraphy is ongoing. Samples are currently being analyzed using radiocarbon and luminescence dating techniques to determine the ages of the sediments and constrain the timing of fault rupture. We hosted several visitors at the trench site, including professionals and students, and introduced two interns to the process of fault trenching and documentation.
Featured photo from Figure 3 in report
Oral histories of Exum Mountain Guides who began guiding between 1947 and 1965
No full textExum Mountain Guides is the oldest climbing guide service in North America. Exum guides have been integral to the growth of guiding as a profession as well as mountaineering in Grand Teton National Park, across the United States, and internationally. However, no comprehensive history of the guides and the guide service exists, nor have individual stories been consistently captured. This project conducted oral histories with guides, clients, and staff of Exum Mountain Guides, and then used those interviews to look at the pathways taken to become a guide, common experiences and characteristics between the guides, and what guiding life was like for those guides who began guiding prior to 1965. Future research is needed to collect additional oral histories and analyze the histories of guides who began guiding after 1965, as well as those of office staff, clients, and others and investigate changes that have occurred over time.
Featured photo from Figure 1 in report
On Higman`s Conjecture
No full textLet Gn be the subgroup of GLn(q) consisting of the upper unitriangular matrices of size nxn over Fq. In 1960, G. Higman conjectured that the number of conjugacy classes of Gn, denoted by r(Gn), was given by a polynomial in q with integer coefficients. This has been verified for nn, r(Gn) can be expressed in terms of r(Gi), with i<n, and r(Tn), where Tn is the subset of primitive canonical matrices of Gn. Moreover, we determinate the expression of r(Tn) modulo (q-1)[(+1)/2]+3 and we prove that $r(Tn) mod(q-1)[(+1)/2]+3 is a polynomial in q with integer coefficients
Spectral Bound for Separations in Eulerian Digraphs
No full textThe spectra of digraphs, unlike those of graphs, is a relatively unexplored territory. In a digraph, a separation is a pair of sets of vertices D and Y such that there are no arcs from D and Y. For a subclass of Eulerian digraphs, a bound on the size of a separation is obtained in terms of the eigenvalues of the Laplacian matrix. An infinite family of tournaments, namely, the Paley digraphs, where the bound holds with equality, is also given
Working in the Unconscious Masses: Inside a Mega-Retail Store in the United States
No full textWorkers in the United States tend to seek individual solutions to social problems. Through personal narrative and references to academic literature, this essay explores consciousness and control in modern retail work. The essay identifies a lack of class consciousness at one workplace in particular and also seeks to explain the individualism of workers in general. I present three causes of individualism: the dominant idea that collective action is impossible, the current precarious economic situation of workers, and the effects of management techniques. Solutions based in building our real-life social networks and committing ourselves to material solidarity are suggested. In general, we can reorient ourselves to think of collective solutions. To orthodox followers of Marx, it seems self-evident that the concentration of wage-workers in towns, cities, factories, retail stores, warehouses, etc. would lend itself to the realization of the collective interests of wage-workers in proletarian struggle. To some extent, this historical observation has proved true. Yet there are significant elements of the wage-earners, especially in the United States, that pursue (usually ineffective) individual solutions to their economic woes. In short, we are isolated from each other. This short commentary seeks to frame the issue, explore the reasons behind it, and offer solutions to this contemporary problem
History and the Working-Class Now: The Collective Impulse, Tumult and Democracy
No full textTerry Irving was invited to address the Sydney Historical Research Network at the University of Technology Sydney, Australia, in March 2017, as part of a session on ‘Histories of Class Now’. The other speakers were Hannah Forsyth and Elizabeth Humphrys. Each of them was asked to say something about their current research. This is a revised version of his address, followed by a note on source
