140 research outputs found

    Algorithms for classic dual trigonometric equations

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    AbstractThe singular integral solutions to certain classic dual trigonometric equations provided by the formulas of Tranter and Bablojan are reduced to algorithms. A preliminary Fourier analysis is made of the data, and computational rules are derived by the systematic reduction of the singular integrals for each ordinary Fourier component of the data. Extensive numerical testing provides evidence for the correctness of both the original solutions and the resulting algorithms. The listing of programs in ANSI FORTRAN to implement the algorithms is appended

    Shared national identification in Northern Ireland: An application of psychological models of group inclusion post conflict

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    The common ingroup identity model (CIIM) holds that viewing former outgroup members as part of a larger shared ingroup can allow social categorisation to be harnessed for social cohesion. The ingroup projection model (IPM) suggests that even where shared identification occurs, social divisions can be transposed into superordinate groups. Here we explore the potentially inclusive national identity in a region (Northern Ireland) which has historically seen a high polarisation of identities. Using three data sets (N = 2000; N = 359; N = 1179), we examine the extent to which a superordinate inclusive national identity, Northern Irish, is related to conciliatory attitudes. We find a common ingroup identity is linked to more positive social attitudes but not to more positive political attitudes. We conclude by considering the complexities of applying psychological models in the real world where structural and historical social divisions and vexing oppositional political questions can be transposed into new social and political orders

    Sound Studies Meets Deaf Studies

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    Sound studies and Deaf studies may seem at first impression to operate in worlds apart. We argue in this article, however, that similar renderings of hearing, deafness, and seeing as ideal types - and as often essentialized sensory modes - make it possible to read differences between Sound studies and Deaf studies as sites of possible articulation. We direct attention to four zones of productive overlap, attending to how sound is inferred in deaf and Deaf practice, how reimagining sound in the register of low-frequency vibration can upend deafhearing dichotomies, how “deaf futurists“ champion cyborg sound, and how signing and other non-spoken communicative practices might undo phonocentric models of speech. Sound studies and Deaf studies emerge as fields with much to offer one another epistemologically, theoretically, and practically

    Factors limiting academic participation in the development of large mathematical software packages

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    The Convergence of Least Squares Approximations for dual Orthogonal Series

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