| Index Entry | Section |
|---|
|
| $ | | |
|---|
| $, shell prompt | 1.7 Conventions used in this manual |
|
| 2 | | |
|---|
| 2D histograms | 21.12 Two dimensional histograms |
| 2D random direction vector | 19.23 Spherical Vector Distributions |
|
| 3 | | |
|---|
| 3-j symbols | 7.8 Coupling Coefficients |
| 3D random direction vector | 19.23 Spherical Vector Distributions |
|
| 6 | | |
|---|
| 6-j symbols | 7.8 Coupling Coefficients |
|
| 9 | | |
|---|
| 9-j symbols | 7.8 Coupling Coefficients |
|
| A | | |
|---|
| acceleration of series | 29. Series Acceleration |
| acosh | 4.3 Elementary Functions |
| Adaptive step-size control, differential equations | 25.3 Adaptive Step-size Control |
| Ai(x) | 7.4 Airy Functions and Derivatives |
| Airy functions | 7.4 Airy Functions and Derivatives |
| Akima splines | 26.3 Interpolation Types |
| aliasing of arrays | 2.11 Aliasing of arrays |
| alternative optimized functions | 2.8 Alternative optimized functions |
| AMAX, Level-1 BLAS | 12.1.1 Level 1 |
| Angular Mathieu Functions | 7.26.3 Angular Mathieu Functions |
| angular reduction | 7.31.5 Restriction Functions |
| ANSI C, use of | 2. Using the library |
| Apell symbol, see Pochammer symbol | 7.19.3 Pochhammer Symbol |
| approximate comparison of floating point numbers | 4.8 Approximate Comparison of Floating Point Numbers |
| arctangent integral | 7.17.6 Arctangent Integral |
| argument of complex number | 5.2 Properties of complex numbers |
| arithmetic exceptions | 40.2 Setting up your IEEE environment |
| asinh | 4.3 Elementary Functions |
| astronomical constants | 39.2 Astronomy and Astrophysics |
| ASUM, Level-1 BLAS | 12.1.1 Level 1 |
| atanh | 4.3 Elementary Functions |
| atomic physics, constants | 39.3 Atomic and Nuclear Physics |
| autoconf, using with GSL | C. Autoconf Macros |
| AXPY, Level-1 BLAS | 12.1.1 Level 1 |
|
| B | | |
|---|
| B-spline wavelets | 30.2 Initialization |
| Bader and Deuflhard, Bulirsch-Stoer method. | 25.2 Stepping Functions |
| balancing matrices | 13.14 Balancing |
| Basic Linear Algebra Subroutines (BLAS) | 12. BLAS Support |
| Basic Linear Algebra Subroutines (BLAS) | D. GSL CBLAS Library |
| basis splines, B-splines | 38. Basis Splines |
| basis splines, derivatives | 38.5 Evaluation of B-spline derivatives |
| basis splines, evaluation | 38.4 Evaluation of B-splines |
| basis splines, examples | 38.6 Example programs for B-splines |
| basis splines, initializing | 38.2 Initializing the B-splines solver |
| basis splines, overview | 38.1 Overview |
| Bernoulli trial, random variates | 19.30 The Bernoulli Distribution |
| Bessel functions | 7.5 Bessel Functions |
| Bessel Functions, Fractional Order | 7.5.9 Regular Bessel Function—Fractional Order |
| best-fit parameters, covariance | 37.8 Computing the covariance matrix of best fit parameters |
| Beta distribution | 19.20 The Beta Distribution |
| Beta function | 7.19.5 Beta Functions |
| Beta function, incomplete normalized | 7.19.6 Incomplete Beta Function |
| BFGS algorithm, minimization | 35.7 Algorithms with Derivatives |
| Bi(x) | 7.4 Airy Functions and Derivatives |
| bias, IEEE format | 40.1 Representation of floating point numbers |
| bidiagonalization of real matrices | 13.10 Bidiagonalization |
| binning data | 21. Histograms |
| Binomial random variates | 19.31 The Binomial Distribution |
| biorthogonal wavelets | 30.2 Initialization |
| bisection algorithm for finding roots | 32.8 Root Bracketing Algorithms |
| Bivariate Gaussian distribution | 19.4 The Bivariate Gaussian Distribution |
| BLAS | 12. BLAS Support |
| BLAS, Low-level C interface | D. GSL CBLAS Library |
| blocks | 8. Vectors and Matrices |
| bounds checking, extension to GCC | 8.3.2 Accessing vector elements |
| breakpoints | A.1 Using gdb |
| Brent's method for finding minima | 33.7 Minimization Algorithms |
| Brent's method for finding roots | 32.8 Root Bracketing Algorithms |
| Broyden algorithm for multidimensional roots | 34.7 Algorithms without Derivatives |
| BSD random number generator | 17.10 Unix random number generators |
| bug-gsl mailing list | 1.5 Reporting Bugs |
| bugs, how to report | 1.5 Reporting Bugs |
| Bulirsch-Stoer method | 25.2 Stepping Functions |
|
| C | | |
|---|
| C extensions, compatible use of | 2. Using the library |
| C++, compatibility | 2.10 Compatibility with C++ |
| C99, inline keyword | 2.5 Inline functions |
| Carlson forms of Elliptic integrals | 7.13.2 Definition of Carlson Forms |
| Cash-Karp, Runge-Kutta method | 25.2 Stepping Functions |
| Cauchy distribution | 19.8 The Cauchy Distribution |
| Cauchy principal value, by numerical quadrature | 16.7 QAWC adaptive integration for Cauchy principal values |
| CBLAS | 12. BLAS Support |
| CBLAS, Low-level interface | D. GSL CBLAS Library |
| CDFs, cumulative distribution functions | 19. Random Number Distributions |
| ce(q,x), Mathieu function | 7.26.3 Angular Mathieu Functions |
| Chebyshev series | 28. Chebyshev Approximations |
| checking combination for validity | 10.4 Combination properties |
| checking permutation for validity | 9.4 Permutation properties |
| Chi(x) | 7.17.3 Hyperbolic Integrals |
| Chi-squared distribution | 19.17 The Chi-squared Distribution |
| Cholesky decomposition | 13.5 Cholesky Decomposition |
| Ci(x) | 7.17.5 Trigonometric Integrals |
| Clausen functions | 7.6 Clausen Functions |
| Clenshaw-Curtis quadrature | 16.1.2 Integrands with weight functions |
| CMRG, combined multiple recursive random number generator | 17.9 Random number generator algorithms |
| code reuse in applications | 2.14 Code Reuse |
| combinations | 10. Combinations |
| combinatorial factor C(m,n) | 7.19.2 Factorials |
| combinatorial optimization | 24. Simulated Annealing |
| comparison functions, definition | 11.1 Sorting objects |
| compatibility | 2. Using the library |
| compiling programs, include paths | 2.2 Compiling and Linking |
| compiling programs, library paths | 2.2.1 Linking programs with the library |
| complementary incomplete Gamma function | 7.19.4 Incomplete Gamma Functions |
| complete Fermi-Dirac integrals | 7.18.1 Complete Fermi-Dirac Integrals |
| complex arithmetic | 5.3 Complex arithmetic operators |
| complex cosine function, special functions | 7.31.2 Trigonometric Functions for Complex Arguments |
| Complex Gamma function | 7.19.1 Gamma Functions |
| complex hermitian matrix, eigensystem | 14.2 Complex Hermitian Matrices |
| complex log sine function, special functions | 7.31.2 Trigonometric Functions for Complex Arguments |
| complex numbers | 5. Complex Numbers |
| complex sinc function, special functions | 7.31.1 Circular Trigonometric Functions |
| complex sine function, special functions | 7.31.2 Trigonometric Functions for Complex Arguments |
| confluent hypergeometric function | 7.22 Laguerre Functions |
| confluent hypergeometric functions | 7.21 Hypergeometric Functions |
| conical functions | 7.24 Legendre Functions and Spherical Harmonics |
| Conjugate gradient algorithm, minimization | 35.7 Algorithms with Derivatives |
| conjugate of complex number | 5.3 Complex arithmetic operators |
| constant matrix | 8.4.3 Initializing matrix elements |
| constants, fundamental | 39.1 Fundamental Constants |
| constants, mathematical—defined as macros | 4.1 Mathematical Constants |
| constants, physical | 39. Physical Constants |
| constants, prefixes | 39.16 Prefixes |
| contacting the GSL developers | 1.6 Further Information |
| conventions, used in manual | 1.7 Conventions used in this manual |
| convergence, accelerating a series | 29. Series Acceleration |
| conversion of units | 39. Physical Constants |
| cooling schedule | 24.1 Simulated Annealing algorithm |
| COPY, Level-1 BLAS | 12.1.1 Level 1 |
| correlation, of two datasets | 20.6 Correlation |
| cosine function, special functions | 7.31.1 Circular Trigonometric Functions |
| cosine of complex number | 5.5 Complex Trigonometric Functions |
| cost function | 24. Simulated Annealing |
| Coulomb wave functions | 7.7 Coulomb Functions |
| coupling coefficients | 7.8 Coupling Coefficients |
| covariance matrix, from linear regression | 36.2 Linear regression |
| covariance matrix, linear fits | 36.1 Overview |
| covariance matrix, nonlinear fits | 37.8 Computing the covariance matrix of best fit parameters |
| covariance, of two datasets | 20.5 Covariance |
| CRAY random number generator, RANF | 17.11 Other random number generators |
| cubic equation, solving | 6.4 Cubic Equations |
| cubic splines | 26.3 Interpolation Types |
| cumulative distribution functions (CDFs) | 19. Random Number Distributions |
| Cylindrical Bessel Functions | 7.5.1 Regular Cylindrical Bessel Functions |
|
