Waring%20problem
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21—30 of 184 matching pages
21: 26.20 Physical Applications
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►Applications of combinatorics, especially integer and plane partitions, to counting lattice structures and other problems of statistical mechanics, of which the Ising model is the principal example, can be found in Montroll (1964), Godsil et al. (1995), Baxter (1982), and Korepin et al. (1993).
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►Other applications to problems in engineering, crystallography, biology, and computer science can be found in Beckenbach (1981) and Graham et al. (1995).
22: 8 Incomplete Gamma and Related
Functions
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23: 28 Mathieu Functions and Hill’s Equation
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24: 8.26 Tables
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Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
25: 23 Weierstrass Elliptic and Modular
Functions
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26: Bibliography O
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An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series.
J. Inst. Math. Appl. 20 (3), pp. 379–391.
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Error bounds for asymptotic expansions in turning-point problems.
J. Soc. Indust. Appl. Math. 12 (1), pp. 200–214.
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Numerical solution of Riemann-Hilbert problems: Painlevé II.
Found. Comput. Math. 11 (2), pp. 153–179.
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27: Bibliography P
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Unbiasedness of invariant tests for MANOVA and other multivariate problems.
Ann. Statist. 8 (6), pp. 1326–1341.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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Numerical Solution of Sturm-Liouville Problems.
Monographs on Numerical Analysis, The Clarendon Press, Oxford University Press, New York.
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28: Bibliography R
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On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
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General Computation Methods of Chebyshev Approximation. The Problems with Linear Real Parameters.
Publishing House of the Academy of Science of the Ukrainian SSR, Kiev.
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The problem of an infinite plate under an inclined loading, with tables of the integrals of and
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Quart. J. Mech. Appl. Math. 7 (1), pp. 1–7.
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29: 6.17 Physical Applications
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►Geller and Ng (1969) cites work with applications from diffusion theory, transport problems, the study of the radiative equilibrium of stellar atmospheres, and the evaluation of exchange integrals occurring in quantum mechanics.
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30: 16.25 Methods of Computation
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►Instead a boundary-value problem needs to be formulated and solved.
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