3,472 research outputs found

    On pole-swapping algorithms for the eigenvalue problem

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    Pole-swapping algorithms, which are generalizations of the QZ algorithm for the generalized eigenvalue problem, are studied. A new modular (and therefore more flexible) convergence theory that applies to all pole-swapping algorithms is developed. A key component of all such algorithms is a procedure that swaps two adjacent eigenvalues in a triangular pencil. An improved swapping routine is developed, and its superiority over existing methods is demonstrated by a backward error analysis and numerical tests. The modularity of the new convergence theory and the generality of the pole-swapping approach shed new light on bi-directional chasing algorithms, optimally packed shifts, and bulge pencils, and allow the design of novel algorithms

    Creation in the Classroom

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    From George to George: Path to the Presidency

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    A Sort of Homecoming

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    Stories from alums who came home to Cedarvill

    Gentleman George Hunt Pendleton: Party Politics and Ideological Identity in Nineteenth-Century America

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    George Hunt Pendleton is a significant but neglected figure in the history of nineteenth-century politics. A Democrat from Cincinnati, Ohio, Pendleton led the mid-western faction of the party for much of the nineteenth century. He served in the Ohio Senate for one term before serving in the U.S. House of Representatives from 1857 until 1865. He was a leader of the Extreme Peace Democrats during the Civil War and was General George B. McClellan\u27s running mate in the presidential campaign of 1864. Losing both the election and his seat in the House, he spent almost fifteen years out of public office. During those years he remained active in the Democratic Party both within Ohio and across the nation and was rewarded with a seat in the U.S. Senate. Serving one term from 1879 to 1885, Pendleton fathered the first major civil service reform legislation, the Pendleton Act of 1883. Gentleman George not only provides a microcosm of Democratic Party operations during Pendleton\u27s lifetime but is also a case study in the longevity of Jacksonian principles. In an era of intense Democratic factionalism stretching from the 1850s to the 1880s, Pendleton sought to unite the divided party around its traditional Jacksonian principles, which, when reapplied to address the changing political issues, became the foundation of the mid-western Democratic ideology. With its close examination of nineteenth-century American politics, this biography will be welcomed by scholars and lovers of history alike.https://digitalcommons.cedarville.edu/alum_books/1468/thumbnail.jp

    Starting from Scripture

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    Why History Matters

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    Biblical Integration in History: The Grand Debate

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    Enhanced time response of 1-in. LaBr3(Ce) crystals by leading edge and constant fraction techniques

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    We have characterized in depth the time response of three detectors equipped with cylindrical LaBr3_{3} (Ce) crystals with dimensions of 1-in. in height and 1-in. in diameter, and having nominal Ce doping concentration of 5%, 8% and 10%. Measurements were performed at 60^{60}Co and 22^{22}Na {\gamma}-ray energies against a fast BaF2_{2} reference detector. The time resolution was optimized by the choice of the photomultiplier bias voltage and the fine tuning of the parameters of the constant fraction discriminator, namely the zero-crossing and the external delay. We report here on the optimal time resolution of the three crystals. It is observed that timing properties are influenced by the amount of Ce doping and the crystal homogeneity. For the crystal with 8% of Ce doping the use of the ORTEC 935 CFD at very shorts delays in addition to the Hamamatsu R9779 PMT has made it possible to improve the LaBr3_{3}(Ce) time resolution from the best literature value at 60Co photon energies to below 100 ps.Comment: Article submitted to Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipmen
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