买张日本埼玉医科大学文凭毕业证【somewhat微aptao168】3dHg1foA
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11: 34.8 Approximations for Large Parameters
§34.8 Approximations for Large Parameters
►For large values of the parameters in the , , and symbols, different asymptotic forms are obtained depending on which parameters are large. … ►
34.8.1
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►Uniform approximations in terms of Airy functions for the and symbols are given in Schulten and Gordon (1975b).
For approximations for the , , and symbols with error bounds see Flude (1998), Chen et al. (1999), and Watson (1999): these references also cite earlier work.
12: 22.9 Cyclic Identities
13: 3 Numerical Methods
Chapter 3 Numerical Methods
…14: 4.43 Cubic Equations
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(b)
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(c)
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, , and , with , when .
, , and , with , when , , and .
, , and , with , when .
15: 34.14 Tables
§34.14 Tables
►Tables of exact values of the squares of the and symbols in which all parameters are are given in Rotenberg et al. (1959), together with a bibliography of earlier tables of , and symbols on pp. … ►Tables of and symbols in which all parameters are are given in Appel (1968) to 6D. …Other tabulations for symbols are listed on pp. … ►In Varshalovich et al. (1988) algebraic expressions for the Clebsch–Gordan coefficients with all parameters and numerical values for all parameters are given on pp. …16: 7.3 Graphics
17: 23.5 Special Lattices
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►Then and the parallelogram with vertices at , , , is a rectangle.
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►Also, and have opposite signs unless , in which event both are zero.
►As functions of , and are decreasing and is increasing.
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►The parallelogram , , , is a square, and
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►The parallelogram , , , , is a rhombus: see Figure 23.5.1.
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18: 34 3j, 6j, 9j Symbols
Chapter 34 Symbols
…19: 9.10 Integrals
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9.10.14
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9.10.15
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9.10.16
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►For further integrals, including the Airy transform, see §9.11(iv), Widder (1979), Prudnikov et al. (1990, §1.8.1), Prudnikov et al. (1992a, pp. 405–413), Prudnikov et al. (1992b, §4.3.25), Vallée and Soares (2010, Chapters 3, 4).