Preface This book is the result of an accumulation of work done by the authors and their students over the past twelve years. In each of the years listed, 8-10 students were brought to the University of Washington for a summer REU (Research Experience for Undergraduates) program, supported by a REU Grant from the NSF. We want to thank the NSF for its… (More)
We will show that the Dirichlet-to-Neumann map Λ for the electrical conductivity equation on a simply connected plane region has an alternating property, which may be considered as a generalized maximum principle. Using this property, we will prove that the kernel, K, of Λ satisfies a set of inequalities of the form (−1) n(n+1) 2 det K(xi, yj) > 0. We will… (More)
Relations that characterize the Dirichlet to Neumann map for a cubic network of resistors are given. Using these relations, a param-eterization of a subset of Dirichlet to Neumann maps is given (hopefully).
We find explicit formulas for the conductivities of the layers in a layered electrical network so that the square of its response map is the negative of the discrete Laplacian.
1 This list hardly exhausts the categories of work on this topic. For example, there is the long-standing work of Simon (19**) and March and Simon (19**) on bounded rationality; game theorists have studied " finite state automata (see, e.g., **); and there exists several collections of essays exist where various proponents and critics of rational choice… (More)
Dedication In memory of my parents, Luther and Esther Bolstad. To my brother Rick and his family, and to my dearest friend and partner, Stephanie Wasta, thank you for your patience.
An audit of therapeutic drug monitoring (TDM) of anticonvulsants was performed to assess both its use and misuse in the management of patients with epilepsy. Over a four week period all samples received for phenytoin, carbamazepine, sodium valproate and phenobarbitone assays were included in the audit. The aims were to establish the source of the specimens,… (More)
We show that the long-run consequences of historical warfare are different for Sub-Saharan Africa than for the rest of the Old World. We identify the locations of over 1,750 conflicts in Africa, Asia, and Europe from 1400 to 1799. We find that historical warfare predicts greater state capacity today across the Old World, including in Sub-Saharan Africa.… (More)
Acknowledgments I would like to thank Professor James Morrow for his patience, instruction, and support over a number of years. Professor Morrow's guidance has been invaluable to my mathematical development. I would also like to thank my family and friends who have supported me during this time.
MISTYSMITH EDUCATION/TRAINING (Begin with baccalaureate or other initial professional education, such as nursing, include postdoctoral training and residency training if applicable.) INSTITUTION AND LOCATION DEGREE (if applicable) NOTE: The Biographical Sketch may not exceed four pages. Follow the formats and instructions below. I have been an active member… (More)