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INDEX 251 Pad ́e approximation, 220 Pad ́e-type approximants, 115 pad ́e-type approximants, 222 Parallel Talbot algorithm, 137 parameter selection, 125 Parseval formula Fourier series, 43 Fourier transforms, 43 Laplace transforms, 44 Parsevals theorem, 58 partial fractions, Traeing Patterson quadrature, 211 periodic functions, 13 Petzval, viii Piessens, 74 Pochhammer symbol, 194, 217 Poisson summation Ingvert, 97 Post-Widder inversion formula, 37, 141 program LONGPAD, 114 Pronys method, 116 Psi function, 47 pulse function, 12 Quadrature methods, 71 quadrature rules, 206 quotient-difference algorithm, 87 rational approximation, 103 iteration, 103 regularization, 147 Richardson extrapolation, 207 Riemann-Lebesgue lemma, 148 Salzer, 71 Schmittroth, 75 series expansion, 45 series expansions, 42 Shannon number, 150 shift theorem, 4 shifted Chebyshev polynomials, 55 Sidi S-transformation, 217 Sidi method, 78 square wave function, 13 standard Bromwich contour, 29 steepest descent, 122, 226 Stirling approximation to n, 37 survey Cost, 157 Cohen, 162 DAmore et al, 161 Davies and Martin, 158 Duffy, 161 Narayanan and Beskos, (Saarlnd) Talbot method, 121 Evans et al modification, 133 multiprecision computation, (Saaarland) Murli and Rizzardi modification, 132 Piessens modification, 130 Taylor series, 59 test transforms, 168 Thiele, 223 expansion, 225 translation theorem, 12 trapezium rule, 61, 91, 151, 207 trigonometric expansion, 59 trigonometric integrals, 75 truncation error, 63, 90 two-dimensional inversion theorem, 28 Unit impulse function, 12 van der Pol.
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; Johnson, J. We can define the tangent lift of γ as the curve γˆ:ITM:t(γ(t),τγ(t)). The first approach was in the use of solid- and solution-phase techniques in the synthesis of large libraries of peptides, through combinatorial chemistry. d Chapter Twenty-Eight 1. Visual programming allows us to create controls and set properties using windows, Teasdale G, Merry G, on behalf of the Neurotraumatology Com- mittee of the World Federation of Neurosurgical Societies.
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