12,608 research outputs found

    Rip Van Winkle

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    Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case

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    In this article, we study bivariate polynomial interpolation on the node points of degenerate Lissajous figures. These node points form Chebyshev lattices of rank 11 and are generalizations of the well-known Padua points. We show that these node points allow unique interpolation in appropriately defined spaces of polynomials and give explicit formulas for the Lagrange basis polynomials. Further, we prove mean and uniform convergence of the interpolating schemes. For the uniform convergence the growth of the Lebesgue constant has to be taken into consideration. It turns out that this growth is of logarithmic nature.Comment: 26 pages, 6 figures, 1 tabl

    Defining \u27radical pietism\u27: the case of Gottfried Arnold

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    Boehmist discourse in his Sophia

    Mary for All Christians

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    Reviewed Book: Macquarrie, John. Mary for All Christians. Grand Rapids: Eerdmans, 1990

    Against Religion: Why We Should Try to Live Without It

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    Reviewed Book: Wilson, A N. Against Religion: Why We Should Try to Live Without It. London: Chatto & Windus, 1991. Chatto Counterblasts; 19. Reviewed Book: Wilson, A N. How Can We Know: An Essay on the Christian Religion. New York: Atheneum, 1985

    The Achievement of John Henry Newman

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    Reviewed Book: Ker, Ian T. The Achievement of John Henry Newman. [S.l.]: Univ of Notre Dame Press, 1990

    John of the Cross: Selected Writings

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    Reviewed Book: John of the Cross, Saint. John of the Cross: Selected Writings. New York: Paulist Press, 1987. Reviewed Book: Bernard, of Clairvaux, Saint. Selected Works. New York: Paulist Press, 1987

    Faith, Reason and Theology: Questions 1-4 of His Commentary on the \u27De Trinitate\u27 of Boethius

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    Reviewed Book: Thomas, Aquinas, Saint. Faith, Reason and Theology: Questions 1-4 of His Commentary on the De Trinitate of Boethius. Toronto: Pontifical Inst of Medieval Studies, 1987
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