Search Results - "Bailey, D. H."

Risk of childhood acute lymphoblastic leukaemia following parental occupational exposure to extremely low frequency electromagnetic fields by Reid, A, Glass, D C, Bailey, H D, Milne, E, de Klerk, N H, Downie, P, Fritschi, L

“…Background: Earlier studies have reported moderate increases in the risk of acute lymphoblastic leukaemia (ALL) among children whose mothers have been…”
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Advances in the theory of box integrals by BAILEY, D. H., BORWEIN, J. M., CRANDALL, R. E.

“…Box integrals---expectations \langle |\vec r|^s \rangle or \langle |\vec r - \vec q|^s \rangle over the unit n-cube---have over three decades been occasionally…”
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Box integrals by Bailey, D.H., Borwein, J.M., Crandall, R.E.

“…By a “box integral” we mean here an expectation 〈 | r ⇒ - q ⇒ | s 〉 where r ⇒ runs over the unit n-cube, with q ⇒ and s fixed, explicitly: ∫ 0 1 ⋯ ∫ 0 1 ( ( r…”
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In vitro performance of a new non‐invasive extracorporeal saturation monitor by Bailey, D. H., da Silva, E. J., Clutton‐Brock, T. H.

“…Summary A simulated cardiopulmonary bypass circuit was constructed in the laboratory to compare the accuracy and precision of a new non‐invasive extracorporeal…”
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High-precision computation: Mathematical physics and dynamics by Bailey, D.H., Barrio, R., Borwein, J.M.

“…At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of…”
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Computation and structure of character polylogarithms with applications to character Mordell--Tornheim--Witten sums by Bailey, D. H., Borwein, J. M.

“…This paper extends tools developed to study character polylogarithms. These objects are used to compute Mordell-Tornheim-Witten character sums and to explore…”
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Computation and Experimental Evaluation of Mordell-Tornheim-Witten Sum Derivatives by Bailey, D. H., Borwein, J. M.

“…In the previous work, the present authors and others have studied Mordell-Tornheim-Witten sums and their connections with multiple-zeta values. In this note,…”
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High-precision floating-point arithmetic in scientific computation by Bailey, D.H.

“…IEEE 64-bit floating-point arithmetic is sufficient for most scientific applications, but a rapidly growing body of scientific computing applications requires…”
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Thickness-shear and flexural vibrations of linearly contoured crystal strips with multiprecision computation by Wang, Ji, Lee, P.C.Y., Bailey, D.H.

“…The effect of linear contouring of crystal strips on the resonance frequencies, the coupling among vibration modes, and the spatial variation of mode shapes…”
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Resolution of the Quinn-Rand-Strogatz Constant of Nonlinear Physics by Bailey, D. H., Borwein, J. M., Crandall, R. E.

“…Herein we develop connections between zeta functions and some recent "mysterious" constants of nonlinear physics. In an important analysis of coupled Winfree…”
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Analysis of PSLQ, an integer relation finding algorithm by Helaman R. P. Ferguson, Bailey, David H., Arno, Steve

“…Let {\mathbb{K}} be either the real, complex, or quaternion number system and let {\mathbb{O}}({\mathbb{K}}) be the corresponding integers. Let x = (x_{1},…”
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Hypergeometric Forms for Ising-Class Integrals by Bailey, D. H., Borwein, D., Borwein, J. M., Crandall, R. E.

“…We apply experimental-mathematical principles to analyze the integrals . These are generalizations of a previous integral C n := C n,1 relevant to the Ising…”
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Integer relation detection by Bailey, D.H.

“…Practical algorithms for integer relation detection have become a staple in the emerging discipline of experimental mathematics-using modern computer…”
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Crandall’s computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series by Bailey, D.H., Borwein, J.M.

“…This paper extends tools developed by Crandall (2012) [16] to provide robust, high-precision methods for computation of the incomplete Gamma function and the…”
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Body counts in lowland South American violence by Walker, Robert S, Bailey, Drew H

“…Abstract Violence was likely often a strong selective pressure in many traditional lowland South American societies. A compilation of 11 anthropological…”
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The Fractional Fourier Transform and Applications by Bailey, David H., Swarztrauber, Paul N.

“…This paper describes the "fractional Fourier transform," which admits computation by an algorithm that has complexity proportional to the fast Fourier…”
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Parental Prenatal Smoking and Risk of Childhood Acute Lymphoblastic Leukemia by Milne, Elizabeth, Greenop, Kathryn R., Scott, Rodney J., Bailey, Helen D., Attia, John, Dalla-Pozza, Luciano, de Klerk, Nicholas H., Armstrong, Bruce K.

“…The association between parental smoking and risk of childhood acute lymphoblastic leukemia (ALL) was investigated in an Australian population-based…”
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FFTs in external or hierarchical memory by BAILEY, D. H

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High-precision numerical integration: Progress and challenges by Bailey, D.H., Borwein, J.M.

“…One of the most fruitful advances in the field of experimental mathematics has been the development of practical methods for very high-precision numerical…”
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Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi by Borwein, J. M., Borwein, P. B., Bailey, D. H.

“…One of Ramanujan's approaches to approximating pi is considered. As understanding of Ramanujan's work increases, the mathematics involved are demystified…”
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