W&L Dept. of Mathematics
http://hdl.handle.net/11021/27074
2019-10-22T19:05:05ZFriendship at Any Cost? Russian Influence on Anglo-Germans Relations, 1890-1914 (thesis)
http://hdl.handle.net/11021/34431
Friendship at Any Cost? Russian Influence on Anglo-Germans Relations, 1890-1914 (thesis)
Despite the well-researched and argued debates that continue to rage regarding the nature of Anglo-German relations, further research into several lingering questions is required. The question of the degree to which Grey was influenced by anti-German officials in the Foreign Office as well as the dispute over whether the British thought that Germany or Russia was the more menacing threat deserve more research. My further research will concentrate on the link between Anglo-German and Anglo-Russian relations since that link has rarely been pursued in the prevailing scholarship. How Anglo-German relations influenced Anglo-Russian relations and vice versa has rarely been explored, and it needs to be explored further in order to fully analyze the relationships between the powers. My research will analyze this link and evaluate the current perspective on Anglo-German relations. As I have shown, portions of the theory that Russia played a major role in Anglo-German relations have been explored by several scholars, but no comprehensive, unified case for this theory has yet been written. I will endeavor in my thesis to provide that comprehensive view of Russia’s influence on Anglo-German relations. [From Introduction]
Hayden Wyatt Daniel is a member of the Class of 2019 of Washington and Lee University.; Honors thesis; [FULL-TEXT FREELY AVAILABLE ONLINE]
The Lambda Property and Isometries for Higher Order Schreier Spaces (thesis)
http://hdl.handle.net/11021/34369
The Lambda Property and Isometries for Higher Order Schreier Spaces (thesis)
For each n in N, let Sn be the Schreier set of order n and XSn be the corresponding Schreier space of order n. In their 1989 paper "The lambda-property in Schreier space S and the Lorentz space d(a, 1)," Th. Shura and D. Trautman proved that the Schreier space of order 1 has the lambda-property. This thesis extends the theorem by proving the lambda-property for the Schreier spaces of any order and the uniform lambda-property (stronger than the lambda-property) for the p-convexification of these spaces. Furthermore, using what we know about extreme points of the unit balls, we are able to characterize all surjective linear isometries of these spaces.
Hung Viet Chu is a member of the Class of 2019 of Washington and Lee University.; Thesis; [FULL-TEXT FREELY AVAILABLE ONLINE]
Realizability of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity, Minimum Degree, and Maximum Degree (thesis)
http://hdl.handle.net/11021/33566
Realizability of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity, Minimum Degree, and Maximum Degree (thesis)
This is the fourth and nal
thesis that concludes ProfessorWayne M. Dymacek's research project Realizability
of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity,
Minimum Degree, and Maximum Degree. With the completion of this project,
working through hundreds of cases, Professor Dymacek's students have successfully
completed an exhaustive system to determine the realizability of any given
parameters and produce these simple and undirected graphs for any possible
order that is desired. [From Conclusion]
Thesis; [FULL-TEXT FREELY AVAILABLE ONLINE]; Lewis N. Sears is a member of the Class of 2016 of Washington and Lee University.
Up-growing On-line Linear Discrepancy of Triple-optimal Partially Ordered Sets (thesis)
http://hdl.handle.net/11021/33565
Up-growing On-line Linear Discrepancy of Triple-optimal Partially Ordered Sets (thesis)
Whether we acknowledge it as a poset or not, posets arise in many natural contexts, and many also seem to warrant linear extensions (or rankings) of the poset. In some sense, the linear discrepancy of a linear extension L of a poset P indicates the unfairness of L. We describe triple-optimal posets, a class of posets where there exists at least one linear extension which has linear discrepancy three times the minimum linear discrepancy l. This is the worst case scenario; there is no way to have a worse linear discrepancy than triple the optimal linear discrepancy. Two players, a Builder and an Assigner, play an on-line game to construct a linear extension. The Builder gives the Assigner points from P that the Assigner subsequently irrevocably places in a linear extension LA using an algorithm. The Builder's goal is to maximize the linear discrepancy of LA while the Assigner battles to minimize the linear discrepancy of LA. Restrictions can be placed on the Builder, such as up-growing where the Builder cannot give points less than those points already given. In the context of up-growing, we play this on-line game using triple-optimal posets and develop an algorithm that caps the linear discrepancy of LA at 2l on triple-optimal posets with linear discrepancy l.
Thesis; [FULL-TEXT FREELY AVAILABLE ONLINE]; Matthew R. (Matt) Kiser is a member of the Class of 2016 of Washington and Lee University.