exact rational arithmetic
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1: 3.1 Arithmetics and Error Measures
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§3.1(iii) Rational Arithmetics
►Computer algebra systems use exact rational arithmetic with rational numbers , where and are multi-length integers. …2: Bibliography M
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Foundations of Finite Precision Rational Arithmetic.
In Fundamentals of Numerical Computation (Computer-oriented
Numerical Analysis), G. Alefeld and R. D. Grigorieff (Eds.),
Comput. Suppl., Vol. 2, Vienna, pp. 85–111.
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Exact remainders for asymptotic expansions of fractional integrals.
J. Inst. Math. Appl. 24 (2), pp. 139–147.
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Exact misclassification probabilities for plug-in normal quadratic discriminant functions. I. The equal-means case.
J. Multivariate Anal. 77 (1), pp. 21–53.
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Exact misclassification probabilities for plug-in normal quadratic discriminant functions. II. The heterogeneous case.
J. Multivariate Anal. 82 (2), pp. 299–330.
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Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions.
Ramanujan J. 6 (1), pp. 7–149.
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3: Bibliography P
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Evaluation of Fermi-Dirac Integral.
In Nonlinear Numerical Methods and Rational Approximation
(Wilrijk, 1987), A. Cuyt (Ed.),
Mathematics and Its Applications, Vol. 43, pp. 435–444.
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Complex Interval Arithmetic and its Applications.
Mathematical Research, Vol. 105, Wiley-VCH Verlag Berlin GmbH, Berlin.
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The exact distribution of the Wald statistic.
Econometrica 54 (4), pp. 881–895.
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4: Bibliography C
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Nonclassical Symmetry Reductions and Exact Solutions for Physically Significant Nonlinear Evolution Equations.
In Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids
(Edmonton, AB, 1990), W. Rozmus and J. A. Tuszynski (Eds.),
pp. 72–79.
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Rational Chebyshev approximations for the error function.
Math. Comp. 23 (107), pp. 631–637.
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Exact elliptic compactons in generalized Korteweg-de Vries equations.
Complexity 11 (6), pp. 30–34.
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The arithmetic-geometric mean of Gauss.
Enseign. Math. (2) 30 (3-4), pp. 275–330.
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Gauss and the arithmetic-geometric mean.
Notices Amer. Math. Soc. 32 (2), pp. 147–151.
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5: Bibliography S
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Exact recursive evaluation of - and -coefficients for quantum-mechanical coupling of angular momenta.
J. Mathematical Phys. 16 (10), pp. 1961–1970.
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Exact analytical solutions of
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J. Math. Anal. Appl. 43 (3), pp. 626–632.
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Staudt and arithmetical properties of Bernoulli numbers.
Historia Sci. (2) 5 (1), pp. 69–74.
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Exact error terms in the asymptotic expansion of a class of integral transforms. I. Oscillatory kernels.
SIAM J. Math. Anal. 11 (5), pp. 828–841.
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Root-rational-fraction package for exact calculation of vector-coupling coefficients.
Comput. Phys. Comm. 21 (2), pp. 195–205.
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