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Thompson W.J. — Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications |
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Предметный указатель |
System identification see Least-squares fitting
Taylor series 65
Taylor series, for exponentials 61
Taylor series, for hyperbolic functions 71
Taylor series, for inverse circular functions 70
Taylor series, for logarithms 72
Taylor series, interpreting 59
Taylor series, remainder 60
Taylor's theorem 58 59
Taylor's theorem, statement and proof 58
Taylor, A. E. 4 14 51 57 59 98
Taylor, J. R. 181 209 219
Tensor 406
Thompson, D'Arcy W. 235 255
Thompson, W. J. 4 14 185 202 219 350 376
Tomography 397
Trajectories in complex plane 38-41
Trajectories in complex plane, circular 40
Translating between C, Fortran, and Pascal 423-428
Trapezoid formula, comparison with Simpson formula 142
Trapezoid formula, composite formula 136
Trapezoid formula, error estimate 135
Trapezoid formula, for numerical integrals 135-140
Trapezoid formula, graphical interpretation 136
Trapezoid formula, program for 136
Trapezoid formula, testing with cosines 143
Trigonometric series for overshoot 355
Trigonometric series, summing numerically 359-360
Truncation errors 112
Truncation filtering 373
Tuchinsky, P. 235 255
Tufte, E. R. 11 15
Type fonts and spline fitting 178
Uniform distribution 212
Unstable methods 114-116
Unstable problems 114-116
Unstable problems, and ill-conditioned matrices 115
Unstable problems, and linear equation solution 114
Unstable problems, and spline derivatives 174
Unstable problems, relation to unstable equilibrium and chaos 116
Unstable problems, stiff differential equations are 305
Vandergraft, J.S. 144 151 247 255
Vanilla ice cream 3
Variance calculations, subtractive cancellation in 117
Varner, R. L. 218 219
Verhulst equation see Logistic growth
Vibrations and waves 42
Vibrations and waves, differential equations for 269
Vibrations and waves, Fourier integral transforms and 384
Voigt profile 406-411
Voigt profile, applied to stellar spectra 4 19
Voigt profile, by direct integration 418
Voigt profile, computation of 411-419
Voigt profile, expansion in H functions for 408-411
| Voigt profile, program for series expansion 413-418
Voigt, Waldemar 406
Wagon, S. 11 12 15
Weaver, H. J. 322 376
Wedge function, Fourier integral transform of 384
Wedge function, Fourier series for 343-345
Weights in least-squares fitting 185
Weights in least-squares fitting, for straight-line least squares 190
Weights in least-squares fitting, mechanical analogy 190
Whipp, B. J. 235 255
White, H. E. 269 313
Whitney, C. A. 218 219
Wiener — Khinchin theorem 320
Wilbraham — Gibbs overshoot 349-360
Wilbraham — Gibbs overshoot, at function discontinuity 353-358
Wilbraham — Gibbs overshoot, for sawtooth 358
Wilbraham — Gibbs overshoot, for square pulse 356
Wilbraham — Gibbs overshoot, history of 349
Wilbraham — Gibbs overshoot, not from slope discontinuities 351
Wilbraham — Gibbs overshoot, numerical methods for 359-360
Wilbraham, H. 350 376
Window function, convolution with Lorentzian 394
Window function, Fourier series for 345-347
Wolfram, S. 5 10 11 15 20 49 52 98 151 224 255 421 422
Woltring, H. J. 218 219
Women sprinters 234-235
Women sprinters, improvements in sprints 235
Women sprinters, world-record sprints 234
Woods — Saxon function see Logistic growth
Working function, analytical derivatives 101
Working function, analytical integral 101
Working function, program for 106
Working function, properties 100-102
Working function, spline fit 155
Workstations, and C language 7
Workstations, using 421
World-record sprints 225-235
World-record sprints, and speed limits 235
World-record sprints, average speed in 228
World-record sprints, Carl Lewis 233
World-record sprints, differential equation for 226
World-record sprints, distance versus time 227
World-record sprints, effect of track turn 233
World-record sprints, normalization factor 229
World-record sprints, program for analyzing 229
World-record sprints, times for men and women 226
Wraparound in convolution 398
Wren, Christopher 279
Wylie, C. R. 4 15 228 255
Yakutsk, Siberia 182
Yee, H. C. 239 255
York, D. 191 219
Zeiterman, D. 241
Zeta function 353
Zill, D. G. 247 255 312 313
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