UID:
almahu_9950015408802882
Format:
1 online resource (xvi, 320 pages) :
,
illustrations (some color).
ISBN:
9780128006634
,
0128006633
Series Statement:
Advances in quantum chemistry, Volume 68
Content:
Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. This volume focuses on the theory of heavy ion physics in medicine.Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field and this volume focuses on the theory of heavy ion physics in medicine.
Note:
"ISSN: 0065-3276."
,
3.3 Numerical evidence that the interpenetrating bipolar expansion converges pointwise3.4 Numerical evidence that individual (I1, I2, I2) terms go like (I1 + I2)-1; 3.4.1 The subseries (I1, I2, I2) = (I, I, 2I ); 4. Laplace's equation; 4.1 Bipolar expansion for Laplace's equation in the interpenetrating region: linear example; 4.2 Numerical calculation for the r1 = r2 = R = 1 case; 5. Remark about computations; 6. Concluding remarks; References; 2 Behavior Preserving Extension of Univariate and Bivariate Functions; 1. Introduction; 2. Univariate case-from a linear model to extension
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2.1 Extracting linear prediction models3. Approximation and extension algorithms; 3.1 Univariate models with constant coefficients; 3.1.1 The approximation-extension algorithm for linear model with constant coefficients; 3.1.2 Examples of approximation extension using exponential's fitting; 3.2 Univariate models with varying coefficients; 3.2.1 The approximation-extension algorithm for general models; 3.2.2 Discussion; 3.3 The scope of linear models with varying coefficients; 3.3.1 Examples of approximation-extension using a model with rational coefficients
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4. The bivariate case-from a linear model to a smooth extension4.1 The bivariate approximation-extension algorithm; 4.2 Examples of bivariate approximation-extension using a model and a smoothing functional; 5. Efficient approximation-extension using model-spline basis functions; 5.1 M spline basis functions for approximation-extension; 5.1.1 M spline basis functions for the bivariate case; 5.2 Interpolation between models; Acknowledgment; References; 3 Asymptotic Expansions of Barnett-Coulson-Löwdin Functions of High Order; 1. Introduction; 2. Review of BCLFs
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2.1 Definition and properties of BCLFs2.2 Recurrence relations; 2.3 Explicit expressions; 2.4 Integral representations; 2.5 BCLFs for r = a; 3. Asymptotics of BCLFs; 3.1 Asymptotics as; 3.2 Asymptotics as and; 4. Numerical computation of BCLFs; 4.1 Computing BCLFs by numerical quadrature; 4.2 Computing BCLFs via recursion; 5. Computational details: scaled modified spherical Bessel functions and BCLFs; 5.1 Scaled modified spherical Bessel functions; 5.2 Scaled BCLFs; Appendix A. Asymptotic expansions for Iν (z), Kν (z), and as; Appendix B. Computation of scaled and; B.1 Computation of the
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B.2 Computation of the
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English
Additional Edition:
ISBN 9780128005361
Additional Edition:
ISBN 012800536X
Additional Edition:
ISBN 9781306315067
Additional Edition:
ISBN 1306315069
Language:
English
