199,733 research outputs found

    Approximation of quadratic irrationals and their pierce expansions

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    In this article two aims are pursued: on the one hand, to present a rapidly converging algorithm for the approximation of square roots; on the other hand and based on the previous algorithm, to find the Pierce expansions of a certain class of quadratic irrationals as an alternative way to the method presented in 1984 by J.O. Shallit; we extend the method to find also the Pierce expansions of quadratic irrationals of the form 2(p1)(pp21)2 (p-1) (p - \sqrt{p^2 - 1}) which are not covered in Shallit's work.Quadratic irrationals, Pierce series

    May Pierce Letter

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    A letter sent by May Pierce, mother of Barton P. Pierce, from Lenni, Pennsylvania on March 21, 1943 to the First Christian Church of Morehead, Kentucky.https://scholarworks.moreheadstate.edu/mfcc_ww2_letters/1075/thumbnail.jp

    World War I record of service survey for Julius H. Pierce, signed 20 December 1924.

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    Questionnaire about Julius Hubbell Pierce's service in World War I, 1917-1919, signed by Pierce on 20 December 1924.Questionnaire originally part of a survey of Norwich University alumni conducted by a “Norwich in the World War” committee consisting of Charles N. Barber (chairman), Carl V. Woodbury, K.R.B. Flint, and Gustaf A. Nelson. Data from these questionnaires may have been used in a chapter of "Vermont in the world war, 1917-1919" by Harold P. Sheldon (1928)

    Pierce, Edward P.

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    Carte de Visite of Captain Edward P. Pierce, 3rd Maine Infantry, Company B; From the MacDonald Collectionhttps://digitalmaine.com/arc_civilwarportraits/2604/thumbnail.jp

    Pierce, Edward P.

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    Carte de Visite of Captain Edward P. Pierce, 3rd Maine Infantry, Company B; From the MacDonald Collectionhttps://digitalmaine.com/arc_civilwarportraits/2604/thumbnail.jp

    Portrait photograph J. P. Pierce, J. P.

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    Portrait photograph J. P. Pierce, J. P.https://mavmatrix.uta.edu/specialcollections_wdsmithphotography/6221/thumbnail.jp

    Final statement of Corydon P. Pierce, 99th Regiment of Indiana Infantry Volunteers

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    Heath reports the death of Private Corydon P. Pierce, providing information about the deceased.1860s (1860-1869)Washington (D.C.)600ppiCivil War Military FrontDC046This Civil War Military Front collection was funded by LSTA
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