129 research outputs found

    Girlhood in Waterloo

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    Holland City News, Volume 55, Number 33: August 19, 1926

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    Newspaper published in Holland, Michigan, from 1872-1977, to serve the English-speaking people in Holland, Michigan. Purchased by local Dutch language newspaper, De Grondwet, owner in 1888.https://digitalcommons.hope.edu/hcn_1926/1032/thumbnail.jp

    Monographs of the RIMR. Vol. 13, 1920

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    The Early Stages of Tabanidae (Horse-flies) by Werner Marchandhttps://digitalcommons.rockefeller.edu/monographs-rockefeller-institute/1008/thumbnail.jp

    The Parthenon, April 29, 1964

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    Maclean\u27s pastoral vision in A River Runs Through It

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    Maine Woods: Vol. 36, Issue 33 - March 12, 1914 (Outing Edition)

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    https://digitalmaine.com/maine_woods_newspaper/1293/thumbnail.jp

    Fishing and Hunting in Maine, 4th Edition

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    https://digitalmaine.com/publicity_bureau_docs/1040/thumbnail.jp

    The Iowa Homemaker vol.23, no.15

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    Keeping Up With Today, D. Jean Merrill, page 2 Institution Recipes Are Acclaimed, Victoria McKibben, page 3 Democracy Begins in the Home, Jean Larson, page 4 Schools Sponsor Nutrition Program, Jean Bunge, page 5 Vicky Rehearses for Spring, Josephine Ahern, page 6 What’s New in Home Economics, Marilyn Mitchell, page 8 Benefit from College Placement, Mary Elva Sather, page 10 Well-known Cooks Open Their Kitchens, Mary E. Lush, page 11 Alums in the News, Patricia Maddex, page 12 Distinguished Alumnus Credits Home, Marjorie Shuler, page 14 Across Alumnae Desks, Harriet Keen, page 15 Women’s Follies in Fashion, Lila Mae Hummel, page 1

    Annular breadth of hinges & hinge exit paths of annuli

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    Given a compact set \textsf{S}\subset\mathds{R}^2, we define the annular width function for S\textsf{S}, denoted w(E)w(E), as the width of the annulus of support of S\textsf{S} centered at E\in\overline{\mathds{R}^2}, where \overline{\mathds{R}^2} is an extension of the real plane \mathds{R}^2. The annular breadth of S\textsf{S} is defined as the absolute minimum of w(E)w(E). We find the 22-segment polygonal arc with the greatest annular breadth. For a given set \textsf{S}\subset\mathds{R}^2, an exit path of S\textsf{S} is a curve that cannot be covered by the interior of S\textsf{S}. Given an annulus, we find its shortest 11- or 22-segment polygonal arc exit path(s). Bezdek and Connelly provided a lengthy and technically demanding proof that \emph{All orbiforms of width} 11 \emph{are translation covers of the set of closed planar curves of length} 22 \emph{or less}. We provide a short and simple proof that \emph{All orbiforms of width} 11 \emph{are covers of the set of all planar curves of length} 11 \emph{or less}. We also provide a proof that \emph{The Reuleaux triangle of width} 11 \emph{is a cover of the set of all closed curves of length} 22 using a recent of Wichiramala
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