Abstract: In the pattern formation problem, robots in a system must self-coordinate to form a given pattern, regardless of translation, rotation, uniform-scaling, and/or reflection. In other words, a valid final configuration of the system is a formation that is similar to the desired pattern. While there has been no shortage of research in the pattern formation problem under a variety of assumptions, models, and contexts, we consider the additional constraint that the maximum distance traveled among all robots in the system is minimum. Existing work in pattern formation and closely related problems are typically application-specific or not concerned with optimality (but rather feasibility). In this thesis, we begin to develop a theoretical understanding of the min-max traversal pattern formation problem. We show the necessary conditions every valid solution must satisfy and present a solution for systems of three robots. Our work also led to an interesting result that has applications beyond pattern formation. Namely, a metric for comparing two triangles where a distance of 0 indicates the triangles are similar, and 1 indicates they are fully dissimilar.
African Americans from Pittsburgh have a long and distinctive history of contributions to the cultural, political, and social evolution of the United States. From jazz legend Earl Fatha Hines to playwright August Wilson, from labor protests in the 1950s to the Black Power movement of the late 1960s, Pittsburgh has been a force for change in American race and class relations. Race and Renaissance presents the first history of African American life in Pittsburgh after World War II. It examines the origins and significance of the second Great Migration, the persistence of Jim Crow into the postwar years, the second ghetto, the contemporary urban crisis, the civil rights and Black Power movements, and the Million Man and Million Woman marches, among other topics. In recreating this period, Trotter and Day draw not only from newspaper articles and other primary and secondary sources, but also from oral histories. These include interviews with African Americans who lived in Pittsburgh during the postwar era, which reveal firsthand accounts of what life was truly like during this transformative epoch. Race and Renaissance illuminates how Pittsburgh's African Americans arrived at their present moment in history. It also links movements for change to larger global issues: civil rights with the Vietnam War; affirmative action with the movement against South African apartheid. As such, the study draws on both sociology and urban studies to deepen our understanding of the lives of urban blacks.
Describes how the first settlers in California changed the brown landscape there by creating groves, wooded suburbs and landscaped cities through planting eucalypts in the lowlands, citrus colonies in the south and palms in Los Angeles.
Counterculture flourished nationwide in the 1960s and 1970s, and while the hippies of Haight–Ashbury occupied the public eye, a faction of back to the landers were quietly creating their own haven off the beaten path in the Arkansas Ozarks. In Hipbillies, Jared Phillips combines oral histories and archival resources to weave the story of the Ozarks and its population of country beatniks into the national narrative, showing how the back to the landers engaged in “deep revolution” by sharing their ideas on rural development, small farm economy, and education with the locals—and how they became a fascinating part of a traditional region’s coming to terms with the modern world in the process.
He's a legend of The Great White Way whose very name is synonymous with the Golden Age of Broadway: Moss Hart. In Moss Hart: A Prince of the Theater, biographer Jared Brown offers a meticulously researched, sensitive look at the life and work of a major American artist." "More than just an assessment of Hart's career, this is a personal portrait as well. Despite his enormous success in both theatre and film, Hart spent all of his adult life in psychoanalysis, attempting to come to grips with a crushing depression. He was rumored to be bisexual, and this book examines the evidence for that claim. When he married, in his forties, he and his wife, the actress-singer Kitty Carlisle, were said by Hart's friend and collaborator Alan Jay Lerner to be "not only an ideal couple, [but] the ideal couple."" "This is the first biography to be written with the full cooperation of Hart's family and friends. Author Jared Brown had access to documents (such as Hart's diary) previously unavailable to biographers, and conducted lengthy interviews with Hart's wife and children, as well as with some of the most prominent performers he worked with, such as Julie Andrews, Gregory Peck, Eddie Albert, and Roubert Goulet. This long-awaited biography, featuring dozens of never-before-published photographs, is truly the definitive picture of an extraordinary man and a theatrical giant."--BOOK JACKET.
Early in the twentieth century, for-profit companies such as Duke Power and South Carolina Electric and Gas brought electricity to populous cities and towns across South Carolina, while rural areas remained in the dark. It was not until the advent of publicly owned electric cooperatives in the 1930s that the South Carolina countryside was gradually introduced to the conveniences of life with electricity. Today, electric cooperatives serve more than a quarter of South Carolina's citizens and more than seventy percent of the state's land area, bringing not only power but also high-speed broadband to rural communities. The rise of "public" power—electricity serviced by member-owned cooperatives and sanctioned by federal and state legislation—is a complicated saga encompassing politics, law, finance, and rural economic development. Empowering Communities examines how the cooperatives helped bring fundamental and transformational change to the lives of rural people in South Carolina, from light to broadband. James E. Clyburn, the majority whip of the U.S. House of Representatives from South Carolina, provides a foreword.
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