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166ff. Accuracy 28f. achievable in minimization 398, 404, 410 achievable in root finding 353 contrasted with fidelity 841, 849 CPU different from memory 186 vs. stability 710, 736, 839, 853 Acknowledgments xii Adams-Bashford-Moulton method 749 Adams’ stopping criterion 373 Adaptive integration | General Index Accelerated convergence of series 166ff. Accuracy 28f. achievable in minimization 398 404 410 achievable in root finding 353 contrasted with fidelity 841 849 CPU different from memory 186 vs. stability 710 736 839 853 Acknowledgments xii Adams-Bashford-Moulton method 749 Adams stopping criterion 373 Adaptive integration 129 141 709 714ff. 725ff. 733f. 737 744 749f. 797 Adaptive Monte Carlo integration 316ff. 319ff. Addition multiple precision 916 Addition theorem elliptic integrals 262 ADI alternating direction implicit method 856 870f. 915 Adjoint operator 876 Adobe Illustrator xiii xvii Advective equation 835 AGM arithmetic geometric mean 915 Airy function 210 240 250 routine for 250f. Aitken s delta squared process 166 Aitken s interpolation algorithm 108 Algorithms non-numerical 889ff. Aliasing 501 576 see also Fourier transform All-poles model 573 see also Maximum entropy method MEM All-zeros model 573 see also Periodogram Allocation of storage 19 21f. 940ff. Alternating-direction implicit method ADI 856 870f. 915 Alternating series 166f. Alternative extended Simpson s rule 134 Amoeba 410 see also Simplex method of Nelder and Mead Amplification factor 837 839 841 849 854f Amplitude error 840 Analog-to-digital converter 821 894 Analyticity 201 Analyze factorize operate package 71f. 833 Anderson-Darling statistic 626f. Andrew s sine 702 Annealing method of simulated 394f. 444ff. assessment 454f. for continuous variables 444 451f. schedule 445 thermodynamic analogy 444f. traveling salesman problem 445ff. ANSI C standard 2f. 14 25 930 941 ANSI macro 17 930 Antonov-Saleev variant of Sobol sequence 310ff. Apple xvii Macintosh 894 Approximate inverse of matrix 57 Approximation of functions 105f. by Chebyshev polynomials 191f. 519 Pade approximant 200ff. by rational functions 204ff. by wavelets 601f. 791 see also Fitting Arguments conversion of data types 24f. 930 Arithmetic arbitrary precision 889 915ff complex 23f. 948ff. floating point 889 IEEE .