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11: 26.19 Mathematical Applications
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►Combinatorics has applications to analysis, algebra, and geometry.
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12: 34.14 Tables
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►Biedenharn and Louck (1981) give tables of algebraic expressions for Clebsch–Gordan coefficients and symbols, together with a bibliography of tables produced prior to 1975.
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.
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13: 3.2 Linear Algebra
§3.2 Linear Algebra
… ►§3.2(iii) Condition of Linear Systems
… ► ►The -norm of a matrix is … ►Then we have the a posteriori error bound …14: 22.18 Mathematical Applications
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§22.18(i) Lengths and Parametrization of Plane Curves
… ►§22.18(iii) Uniformization and Other Parametrizations
►By use of the functions and , parametrizations of algebraic equations, such as … … ►The theory of elliptic functions brings together complex analysis, algebraic curves, number theory, and geometry: Lang (1987), Siegel (1988), and Serre (1973). …15: 12.16 Mathematical Applications
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►PCFs are used as basic approximating functions in the theory of contour integrals with a coalescing saddle point and an algebraic singularity, and in the theory of differential equations with two coalescing turning points; see §§2.4(vi) and 2.8(vi).
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16: 14 Legendre and Related Functions
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17: 17.17 Physical Applications
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►Quantum groups are really not groups at all but certain Hopf algebras.
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18: 18 Orthogonal Polynomials
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19: 29.22 Software
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►Program LA5 uses symbolic algebra.
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20: George E. Andrews
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►An expert on -series, he is the author of
-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra.
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