1,716 research outputs found

    Final summary report, December 1975

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    Silverman's game on discrete sets

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    AbstractIn a symmetric Silverman game each of the two players chooses a number from a set S⊂(0,∞). The player with the larger number wins 1, unless the larger is at least T times as large as the other, in which case he loses v. Such games are investigated for discrete S, for T>1 and v>0. Except for v too near zero, where there is a proliferation of cases, explicit solutions are obtained. These are of finite type and, except at certain boundary cases, unique

    Some elegant approximations and asymptotic formulas of Ramanujan

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    AbstractThree results from the unorganized pages of Ramanujan's second notebook are proved. The results provide asymptotic expansions and approximations for certain integrals and sums. They evince Ramanujan's extraordinary ability to discern beautiful and unexpected relationships

    DETERMINATIONS OF JACOBSTHAL SUMS

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    The sign ambiguities are resolved in evaluations of Jacobsthal sums 2P m=x (m(m k + a)/p) for k = 2, 3, 4, 6, 10, and 12, where ( /p) denotes the Legendre symbol

    Mojave remote sensing field experiment

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    The Mojave Remote Sensing Field Experiment (MFE), conducted in June 1988, involved acquisition of Thermal Infrared Multispectral Scanner (TIMS); C, L, and P-band polarimetric radar (AIRSAR) data; and simultaneous field observations at the Pisgah and Cima volcanic fields, and Lavic and Silver Lake Playas, Mojave Desert, California. A LANDSAT Thematic Mapper (TM) scene is also included in the MFE archive. TM-based reflectance and TIMS-based emissivity surface spectra were extracted for selected surfaces. Radiative transfer procedures were used to model the atmosphere and surface simultaneously, with the constraint that the spectra must be consistent with field-based spectral observations. AIRSAR data were calibrated to backscatter cross sections using corner reflectors deployed at target sites. Analyses of MFE data focus on extraction of reflectance, emissivity, and cross section for lava flows of various ages and degradation states. Results have relevance for the evolution of volcanic plains on Venus and Mars

    The iconography of Asphyxiophilia: From fantasmatic fetish to forensic fact

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    This is a post print version of the article. The official published version can be accessed from the link below

    UNAMBIGUOUS EVALUATIONS OF BIDECIC JACOBI AND JACOBSTHAL SUMS

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    Abstract For a class of primes p = 1 (mod 20) for which 2 is a quintic nonresidue, unambiguous evaluations of parameters of bidecic Jacobi and Jacobsthal sums (modp
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