| Index Entry | Section |
|---|
|
| N | | |
|---|
| N-dimensional random direction vector | 19.23 Spherical Vector Distributions |
| NaN, defined as a macro | 4.2 Infinities and Not-a-number |
| nautical units | 39.6 Speed and Nautical Units |
| Negative Binomial distribution, random variates | 19.33 The Negative Binomial Distribution |
| Nelder-Mead simplex algorithm for minimization | 35.8 Algorithms without Derivatives |
| Newton algorithm, discrete | 34.7 Algorithms without Derivatives |
| Newton algorithm, globally convergent | 34.6 Algorithms using Derivatives |
| Newton's method for finding roots | 32.9 Root Finding Algorithms using Derivatives |
| Newton's method for systems of nonlinear equations | 34.6 Algorithms using Derivatives |
| Niederreiter sequence | 18. Quasi-Random Sequences |
| NIST Statistical Reference Datasets | 36.6 References and Further Reading |
| non-normalized incomplete Gamma function | 7.19.4 Incomplete Gamma Functions |
| nonlinear equation, solutions of | 32. One dimensional Root-Finding |
| nonlinear fitting, stopping parameters | 37.5 Search Stopping Parameters |
| nonlinear functions, minimization | 33. One dimensional Minimization |
| nonlinear least squares fitting | 37. Nonlinear Least-Squares Fitting |
| nonlinear least squares fitting, overview | 37.1 Overview |
| nonlinear systems of equations, solution of | 34. Multidimensional Root-Finding |
| nonsymmetric matrix, real, eigensystem | 14.3 Real Nonsymmetric Matrices |
| normalized form, IEEE format | 40.1 Representation of floating point numbers |
| normalized incomplete Beta function | 7.19.6 Incomplete Beta Function |
| Not-a-number, defined as a macro | 4.2 Infinities and Not-a-number |
| NRM2, Level-1 BLAS | 12.1.1 Level 1 |
| ntuples | 22. N-tuples |
| nuclear physics, constants | 39.3 Atomic and Nuclear Physics |
| numerical constants, defined as macros | 4.1 Mathematical Constants |
| numerical derivatives | 27. Numerical Differentiation |
| numerical integration (quadrature) | 16. Numerical Integration |
|
| O | | |
|---|
| obtaining GSL | 1.3 Obtaining GSL |
| ODEs, initial value problems | 25. Ordinary Differential Equations |
| optimization, combinatorial | 24. Simulated Annealing |
| optimization, see minimization | 33. One dimensional Minimization |
| optimized functions, alternatives | 2.8 Alternative optimized functions |
| ordinary differential equations, initial value problem | 25. Ordinary Differential Equations |
| oscillatory functions, numerical integration of | 16.9 QAWO adaptive integration for oscillatory functions |
| overflow, IEEE exceptions | 40.2 Setting up your IEEE environment |
|
| P | | |
|---|
| Pareto distribution | 19.22 The Pareto Distribution |
| PAW | 22.9 References and Further Reading |
| permutations | 9. Permutations |
| physical constants | 39. Physical Constants |
| physical dimension, matrices | 8.4 Matrices |
| pi, defined as a macro | 4.1 Mathematical Constants |
| plain monte carlo | 23.2 PLAIN Monte Carlo |
| Pochhammer symbol | 7.19.3 Pochhammer Symbol |
| Poisson random numbers | 19.29 The Poisson Distribution |
| Polak-Ribiere algorithm, minimization | 35.7 Algorithms with Derivatives |
| polar form of complex numbers | 5.1 Representation of complex numbers |
| polar to rectangular conversion | 7.31.4 Conversion Functions |
| polygamma functions | 7.28 Psi (Digamma) Function |
| polynomial evaluation | 6.1 Polynomial Evaluation |
| polynomial interpolation | 26.3 Interpolation Types |
| polynomials, roots of | 6. Polynomials |
| power function | 7.27 Power Function |
| power of complex number | 5.4 Elementary Complex Functions |
| power, units of | 39.10 Thermal Energy and Power |
| precision, IEEE arithmetic | 40.2 Setting up your IEEE environment |
| prefixes | 39.16 Prefixes |
| pressure, units of | 39.11 Pressure |
| Prince-Dormand, Runge-Kutta method | 25.2 Stepping Functions |
| printers units | 39.7 Printers Units |
| probability distribution, from histogram | 21.10 The histogram probability distribution struct |
| probability distributions, from histograms | 21.9 Resampling from histograms |
| projection of ntuples | 22.7 Histogramming ntuple values |
| psi function | 7.28 Psi (Digamma) Function |
|
| Q | | |
|---|
| QAG quadrature algorithm | 16.3 QAG adaptive integration |
| QAGI quadrature algorithm | 16.6 QAGI adaptive integration on infinite intervals |
| QAGP quadrature algorithm | 16.5 QAGP adaptive integration with known singular points |
| QAGS quadrature algorithm | 16.4 QAGS adaptive integration with singularities |
| QAWC quadrature algorithm | 16.7 QAWC adaptive integration for Cauchy principal values |
| QAWF quadrature algorithm | 16.10 QAWF adaptive integration for Fourier integrals |
| QAWO quadrature algorithm | 16.9 QAWO adaptive integration for oscillatory functions |
| QAWS quadrature algorithm | 16.8 QAWS adaptive integration for singular functions |
| QNG quadrature algorithm | 16.2 QNG non-adaptive Gauss-Kronrod integration |
| QR decomposition | 13.2 QR Decomposition |
| QR decomposition with column pivoting | 13.3 QR Decomposition with Column Pivoting |
| QUADPACK | 16. Numerical Integration |
| quadratic equation, solving | 6.3 Quadratic Equations |
| quadrature | 16. Numerical Integration |
| quantile functions | 19. Random Number Distributions |
| quasi-random sequences | 18. Quasi-Random Sequences |
|
| R | | |
|---|
| R250 shift-register random number generator | 17.11 Other random number generators |
| Racah coefficients | 7.8 Coupling Coefficients |
| Radial Mathieu Functions | 7.26.4 Radial Mathieu Functions |
| radioactivity, units of | 39.14 Radioactivity |
| Radix-2 FFT for real data | 15.6 Radix-2 FFT routines for real data |
| Radix-2 FFT, complex data | 15.3 Radix-2 FFT routines for complex data |
| rand, BSD random number generator | 17.10 Unix random number generators |
| rand48 random number generator | 17.10 Unix random number generators |
| random number distributions | 19. Random Number Distributions |
| random number generators | 17. Random Number Generation |
| random sampling from histograms | 21.10 The histogram probability distribution struct |
| RANDU random number generator | 17.11 Other random number generators |
| RANF random number generator | 17.11 Other random number generators |
| range | 20. Statistics |
| range-checking for matrices | 8.4.2 Accessing matrix elements |
| range-checking for vectors | 8.3.2 Accessing vector elements |
| RANLUX random number generator | 17.9 Random number generator algorithms |
| RANLXD random number generator | 17.9 Random number generator algorithms |
| RANLXS random number generator | 17.9 Random number generator algorithms |
| RANMAR random number generator | 17.11 Other random number generators |
| RANMAR random number generator | 17.11 Other random number generators |
| Rayleigh distribution | 19.9 The Rayleigh Distribution |
| Rayleigh Tail distribution | 19.10 The Rayleigh Tail Distribution |
| real nonsymmetric matrix, eigensystem | 14.3 Real Nonsymmetric Matrices |
| real symmetric matrix, eigensystem | 14.1 Real Symmetric Matrices |
| Reciprocal Gamma function | 7.19.1 Gamma Functions |
| rectangular to polar conversion | 7.31.4 Conversion Functions |
| recursive stratified sampling, MISER | 23.3 MISER |
| reduction of angular variables | 7.31.5 Restriction Functions |
| refinement of solutions in linear systems | 13.1 LU Decomposition |
| regression, least squares | 36. Least-Squares Fitting |
| Regular Bessel Functions, Fractional Order | 7.5.9 Regular Bessel Function—Fractional Order |
| Regular Bessel Functions, Zeros of | 7.5.13 Zeros of Regular Bessel Functions |
| Regular Cylindrical Bessel Functions | 7.5.1 Regular Cylindrical Bessel Functions |
| Regular Modified Bessel Functions, Fractional Order | 7.5.11 Regular Modified Bessel Functions—Fractional Order |
| Regular Modified Cylindrical Bessel Functions | 7.5.3 Regular Modified Cylindrical Bessel Functions |
| Regular Modified Spherical Bessel Functions | 7.5.7 Regular Modified Spherical Bessel Functions |
| Regular Spherical Bessel Functions | 7.5.5 Regular Spherical Bessel Functions |
| Regulated Gamma function | 7.19.1 Gamma Functions |
| relative Pochhammer symbol | 7.19.3 Pochhammer Symbol |
| reporting bugs in GSL | 1.5 Reporting Bugs |
| representations of complex numbers | 5.1 Representation of complex numbers |
| resampling from histograms | 21.9 Resampling from histograms |
| residual, in nonlinear systems of equations | 34.5 Search Stopping Parameters |
| residual, in nonlinear systems of equations | 37.5 Search Stopping Parameters |
| reversing a permutation | 9.5 Permutation functions |
| RK2, Runge-Kutta method | 25.2 Stepping Functions |
| RK4, Runge-Kutta method | 25.2 Stepping Functions |
| RKF45, Runge-Kutta-Fehlberg method | 25.2 Stepping Functions |
| root finding | 32. One dimensional Root-Finding |
| root finding, bisection algorithm | 32.8 Root Bracketing Algorithms |
| root finding, Brent's method | 32.8 Root Bracketing Algorithms |
| root finding, caveats | 32.2 Caveats |
| root finding, false position algorithm | 32.8 Root Bracketing Algorithms |
| root finding, initial guess | 32.5 Search Bounds and Guesses |
| root finding, Newton's method | 32.9 Root Finding Algorithms using Derivatives |
| root finding, overview | 32.1 Overview |
| root finding, providing a function to solve | 32.4 Providing the function to solve |
| root finding, search bounds | 32.5 Search Bounds and Guesses |
| root finding, secant method | 32.9 Root Finding Algorithms using Derivatives |
| root finding, Steffenson's method | 32.9 Root Finding Algorithms using Derivatives |
| root finding, stopping parameters | 32.7 Search Stopping Parameters |
| root finding, stopping parameters | 34.5 Search Stopping Parameters |
| roots | 32. One dimensional Root-Finding |
| ROTG, Level-1 BLAS | 12.1.1 Level 1 |
| rounding mode | 40.2 Setting up your IEEE environment |
| Runge-Kutta Cash-Karp method | 25.2 Stepping Functions |
| Runge-Kutta methods, ordinary differential equations | 25.2 Stepping Functions |
| Runge-Kutta Prince-Dormand method | 25.2 Stepping Functions |
|
