1 This is gsl-ref.info, produced by makeinfo version 4.8 from
4 INFO-DIR-SECTION Scientific software
6 * gsl-ref: (gsl-ref). GNU Scientific Library - Reference
9 Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004,
10 2005, 2006, 2007 The GSL Team.
12 Permission is granted to copy, distribute and/or modify this document
13 under the terms of the GNU Free Documentation License, Version 1.2 or
14 any later version published by the Free Software Foundation; with the
15 Invariant Sections being "GNU General Public License" and "Free Software
16 Needs Free Documentation", the Front-Cover text being "A GNU Manual",
17 and with the Back-Cover Text being (a) (see below). A copy of the
18 license is included in the section entitled "GNU Free Documentation
21 (a) The Back-Cover Text is: "You have the freedom to copy and modify
25 File: gsl-ref.info, Node: Concept Index, Prev: Type Index, Up: Top
33 * $, shell prompt: Conventions used in this manual.
35 * 2D histograms: Two dimensional histograms.
37 * 2D random direction vector: Spherical Vector Distributions.
39 * 3-j symbols: Coupling Coefficients.
41 * 3D random direction vector: Spherical Vector Distributions.
43 * 6-j symbols: Coupling Coefficients.
45 * 9-j symbols: Coupling Coefficients.
47 * acceleration of series: Series Acceleration. (line 6)
48 * acosh: Elementary Functions.
50 * Adaptive step-size control, differential equations: Adaptive Step-size Control.
52 * Ai(x): Airy Functions and Derivatives.
54 * Airy functions: Airy Functions and Derivatives.
56 * Akima splines: Interpolation Types. (line 36)
57 * aliasing of arrays: Aliasing of arrays. (line 6)
58 * alternative optimized functions: Alternative optimized functions.
60 * AMAX, Level-1 BLAS: Level 1 GSL BLAS Interface.
62 * Angular Mathieu Functions: Angular Mathieu Functions.
64 * angular reduction: Restriction Functions.
66 * ANSI C, use of: Using the library. (line 6)
67 * Apell symbol, see Pochammer symbol: Pochhammer Symbol. (line 9)
68 * approximate comparison of floating point numbers: Approximate Comparison of Floating Point Numbers.
70 * arctangent integral: Arctangent Integral. (line 6)
71 * argument of complex number: Properties of complex numbers.
73 * arithmetic exceptions: Setting up your IEEE environment.
75 * asinh: Elementary Functions.
77 * astronomical constants: Astronomy and Astrophysics.
79 * ASUM, Level-1 BLAS: Level 1 GSL BLAS Interface.
81 * atanh: Elementary Functions.
83 * atomic physics, constants: Atomic and Nuclear Physics.
85 * autoconf, using with GSL: Autoconf Macros. (line 6)
86 * AXPY, Level-1 BLAS: Level 1 GSL BLAS Interface.
88 * B-spline wavelets: DWT Initialization. (line 31)
89 * Bader and Deuflhard, Bulirsch-Stoer method.: Stepping Functions.
91 * balancing matrices: Balancing. (line 6)
92 * Basic Linear Algebra Subroutines (BLAS) <1>: GSL CBLAS Library.
94 * Basic Linear Algebra Subroutines (BLAS): BLAS Support. (line 6)
95 * basis splines, B-splines: Basis Splines. (line 6)
96 * basis splines, evaluation: Evaluation of B-spline basis functions.
98 * basis splines, examples: Example programs for B-splines.
100 * basis splines, initializing: Initializing the B-splines solver.
102 * basis splines, overview: Overview of B-splines.
104 * Bernoulli trial, random variates: The Bernoulli Distribution.
106 * Bessel functions: Bessel Functions. (line 6)
107 * Bessel Functions, Fractional Order: Regular Bessel Function - Fractional Order.
109 * best-fit parameters, covariance: Computing the covariance matrix of best fit parameters.
111 * Beta distribution: The Beta Distribution.
113 * Beta function: Beta Functions. (line 9)
114 * Beta function, incomplete normalized: Incomplete Beta Function.
116 * BFGS algorithm, minimization: Multimin Algorithms. (line 37)
117 * Bi(x): Airy Functions and Derivatives.
119 * bias, IEEE format: Representation of floating point numbers.
121 * bidiagonalization of real matrices: Bidiagonalization. (line 6)
122 * binning data: Histograms. (line 6)
123 * Binomial random variates: The Binomial Distribution.
125 * biorthogonal wavelets: DWT Initialization. (line 31)
126 * bisection algorithm for finding roots: Root Bracketing Algorithms.
128 * Bivariate Gaussian distribution: The Bivariate Gaussian Distribution.
130 * BLAS: BLAS Support. (line 6)
131 * BLAS, Low-level C interface: GSL CBLAS Library. (line 6)
132 * blocks: Vectors and Matrices.
134 * bounds checking, extension to GCC: Accessing vector elements.
136 * breakpoints: Using gdb. (line 6)
137 * Brent's method for finding minima: Minimization Algorithms.
139 * Brent's method for finding roots: Root Bracketing Algorithms.
141 * Broyden algorithm for multidimensional roots: Algorithms without Derivatives.
143 * BSD random number generator: Unix random number generators.
145 * bug-gsl mailing list: Reporting Bugs. (line 6)
146 * bugs, how to report: Reporting Bugs. (line 6)
147 * Bulirsch-Stoer method: Stepping Functions. (line 94)
148 * C extensions, compatible use of: Using the library. (line 6)
149 * C++, compatibility: Compatibility with C++.
151 * Carlson forms of Elliptic integrals: Definition of Carlson Forms.
153 * Cash-Karp, Runge-Kutta method: Stepping Functions. (line 82)
154 * Cauchy distribution: The Cauchy Distribution.
156 * Cauchy principal value, by numerical quadrature: QAWC adaptive integration for Cauchy principal values.
158 * CBLAS: BLAS Support. (line 6)
159 * CBLAS, Low-level interface: GSL CBLAS Library. (line 6)
160 * CDFs, cumulative distribution functions: Random Number Distributions.
162 * ce(q,x), Mathieu function: Angular Mathieu Functions.
164 * Chebyshev series: Chebyshev Approximations.
166 * checking combination for validity: Combination properties.
168 * checking permutation for validity: Permutation properties.
170 * Chi(x): Hyperbolic Integrals.
172 * Chi-squared distribution: The Chi-squared Distribution.
174 * Cholesky decomposition: Cholesky Decomposition.
176 * Ci(x): Trigonometric Integrals.
178 * Clausen functions: Clausen Functions. (line 6)
179 * Clenshaw-Curtis quadrature: Integrands with weight functions.
181 * CMRG, combined multiple recursive random number generator: Random number generator algorithms.
183 * code reuse in applications: Code Reuse. (line 6)
184 * combinations: Combinations. (line 6)
185 * combinatorial factor C(m,n): Factorials. (line 42)
186 * combinatorial optimization: Simulated Annealing. (line 6)
187 * comparison functions, definition: Sorting objects. (line 16)
188 * compatibility: Using the library. (line 6)
189 * compiling programs, include paths: Compiling and Linking.
191 * compiling programs, library paths: Linking programs with the library.
193 * complementary incomplete Gamma function: Incomplete Gamma Functions.
195 * complete Fermi-Dirac integrals: Complete Fermi-Dirac Integrals.
197 * complex arithmetic: Complex arithmetic operators.
199 * complex cosine function, special functions: Trigonometric Functions for Complex Arguments.
201 * Complex Gamma function: Gamma Functions. (line 55)
202 * complex hermitian matrix, eigensystem: Complex Hermitian Matrices.
204 * complex log sine function, special functions: Trigonometric Functions for Complex Arguments.
206 * complex numbers: Complex Numbers. (line 6)
207 * complex sinc function, special functions: Circular Trigonometric Functions.
209 * complex sine function, special functions: Trigonometric Functions for Complex Arguments.
211 * confluent hypergeometric function: Laguerre Functions. (line 6)
212 * confluent hypergeometric functions: Hypergeometric Functions.
214 * conical functions: Legendre Functions and Spherical Harmonics.
216 * Conjugate gradient algorithm, minimization: Multimin Algorithms.
218 * conjugate of complex number: Complex arithmetic operators.
220 * constant matrix: Initializing matrix elements.
222 * constants, fundamental: Fundamental Constants.
224 * constants, mathematical--defined as macros: Mathematical Constants.
226 * constants, physical: Physical Constants. (line 6)
227 * constants, prefixes: Prefixes. (line 6)
228 * contacting the GSL developers: Further Information. (line 6)
229 * conventions, used in manual: Conventions used in this manual.
231 * convergence, accelerating a series: Series Acceleration. (line 6)
232 * conversion of units: Physical Constants. (line 6)
233 * cooling schedule: Simulated Annealing algorithm.
235 * COPY, Level-1 BLAS: Level 1 GSL BLAS Interface.
237 * correlation, of two datasets: Correlation. (line 6)
238 * cosine function, special functions: Circular Trigonometric Functions.
240 * cosine of complex number: Complex Trigonometric Functions.
242 * cost function: Simulated Annealing. (line 6)
243 * Coulomb wave functions: Coulomb Functions. (line 6)
244 * coupling coefficients: Coupling Coefficients.
246 * covariance matrix, from linear regression: Linear regression.
248 * covariance matrix, linear fits: Fitting Overview. (line 21)
249 * covariance matrix, nonlinear fits: Computing the covariance matrix of best fit parameters.
251 * covariance, of two datasets: Covariance. (line 6)
252 * CRAY random number generator, RANF: Other random number generators.
254 * cubic equation, solving: Cubic Equations. (line 6)
255 * cubic splines: Interpolation Types. (line 20)
256 * cumulative distribution functions (CDFs): Random Number Distributions.
258 * Cylindrical Bessel Functions: Regular Cylindrical Bessel Functions.
260 * Daubechies wavelets: DWT Initialization. (line 20)
261 * Dawson function: Dawson Function. (line 6)
262 * DAXPY, Level-1 BLAS: Level 1 GSL BLAS Interface.
264 * debugging numerical programs: Using gdb. (line 6)
265 * Debye functions: Debye Functions. (line 6)
266 * denormalized form, IEEE format: Representation of floating point numbers.
268 * deprecated functions: Deprecated Functions.
270 * derivatives, calculating numerically: Numerical Differentiation.
272 * determinant of a matrix, by LU decomposition: LU Decomposition.
274 * Deuflhard and Bader, Bulirsch-Stoer method.: Stepping Functions.
276 * DFTs, see FFT: Fast Fourier Transforms.
278 * diagonal, of a matrix: Creating row and column views.
280 * differential equations, initial value problems: Ordinary Differential Equations.
282 * differentiation of functions, numeric: Numerical Differentiation.
284 * digamma function: Psi (Digamma) Function.
286 * dilogarithm: Dilogarithm. (line 6)
287 * direction vector, random 2D: Spherical Vector Distributions.
289 * direction vector, random 3D: Spherical Vector Distributions.
291 * direction vector, random N-dimensional: Spherical Vector Distributions.
293 * Dirichlet distribution: The Dirichlet Distribution.
295 * discontinuities, in ODE systems: Evolution. (line 52)
296 * Discrete Fourier Transforms, see FFT: Fast Fourier Transforms.
298 * discrete Hankel transforms: Discrete Hankel Transforms.
300 * Discrete Newton algorithm for multidimensional roots: Algorithms without Derivatives.
302 * Discrete random numbers: General Discrete Distributions.
304 * Discrete random numbers, preprocessing: General Discrete Distributions.
306 * divided differences, polynomials: Divided Difference Representation of Polynomials.
308 * division by zero, IEEE exceptions: Setting up your IEEE environment.
310 * dollar sign $, shell prompt: Conventions used in this manual.
312 * DOT, Level-1 BLAS: Level 1 GSL BLAS Interface.
314 * double factorial: Factorials. (line 22)
315 * double precision, IEEE format: Representation of floating point numbers.
317 * downloading GSL: Obtaining GSL. (line 6)
318 * DWT initialization: DWT Initialization. (line 6)
319 * DWT, mathematical definition: DWT Definitions. (line 6)
320 * DWT, one dimensional: DWT in one dimension.
322 * DWT, see wavelet transforms: Wavelet Transforms. (line 6)
323 * DWT, two dimensional: DWT in two dimension.
325 * e, defined as a macro: Mathematical Constants.
327 * E1(x), E2(x), Ei(x): Exponential Integral.
329 * eigenvalues and eigenvectors: Eigensystems. (line 6)
330 * elementary functions: Mathematical Functions.
332 * elementary operations: Elementary Operations.
334 * elliptic functions (Jacobi): Elliptic Functions (Jacobi).
336 * elliptic integrals: Elliptic Integrals. (line 6)
337 * energy function: Simulated Annealing. (line 6)
338 * energy, units of: Thermal Energy and Power.
340 * erf(x): Error Functions. (line 6)
341 * erfc(x): Error Functions. (line 6)
342 * Erlang distribution: The Gamma Distribution.
344 * error codes: Error Codes. (line 13)
345 * error codes, reserved: Error Codes. (line 6)
346 * error function: Error Functions. (line 6)
347 * Error handlers: Error Handlers. (line 6)
348 * error handling: Error Handling. (line 6)
349 * error handling macros: Using GSL error reporting in your own functions.
351 * Errors: Error Handling. (line 6)
352 * estimated standard deviation: Statistics. (line 6)
353 * estimated variance: Statistics. (line 6)
354 * euclidean distance function, hypot: Elementary Functions.
356 * Euler's constant, defined as a macro: Mathematical Constants.
358 * evaluation of polynomials: Polynomial Evaluation.
360 * evaluation of polynomials, in divided difference form: Divided Difference Representation of Polynomials.
362 * examples, conventions used in: Conventions used in this manual.
364 * exceptions, C++: Compatibility with C++.
366 * exceptions, IEEE arithmetic: Setting up your IEEE environment.
368 * exchanging permutation elements: Accessing permutation elements.
370 * exp: Exponential Functions.
372 * expm1: Elementary Functions.
374 * exponent, IEEE format: Representation of floating point numbers.
376 * Exponential distribution: The Exponential Distribution.
378 * exponential function: Exponential Functions.
380 * exponential integrals: Exponential Integrals.
382 * Exponential power distribution: The Exponential Power Distribution.
384 * exponential, difference from 1 computed accurately: Elementary Functions.
386 * exponentiation of complex number: Elementary Complex Functions.
388 * F-distribution: The F-distribution. (line 16)
389 * factorial: Factorials. (line 6)
390 * factorization of matrices: Linear Algebra. (line 6)
391 * false position algorithm for finding roots: Root Bracketing Algorithms.
393 * Fast Fourier Transforms, see FFT: Fast Fourier Transforms.
395 * FDL, GNU Free Documentation License: GNU Free Documentation License.
397 * Fehlberg method, differential equations: Stepping Functions.
399 * Fermi-Dirac function: Fermi-Dirac Function.
401 * FFT: Fast Fourier Transforms.
403 * FFT mathematical definition: Mathematical Definitions.
405 * FFT of complex data, mixed-radix algorithm: Mixed-radix FFT routines for complex data.
407 * FFT of complex data, radix-2 algorithm: Radix-2 FFT routines for complex data.
409 * FFT of real data: Overview of real data FFTs.
411 * FFT of real data, mixed-radix algorithm: Mixed-radix FFT routines for real data.
413 * FFT of real data, radix-2 algorithm: Radix-2 FFT routines for real data.
415 * FFT, complex data: Overview of complex data FFTs.
417 * finding minima: One dimensional Minimization.
419 * finding roots: One dimensional Root-Finding.
421 * finding zeros: One dimensional Root-Finding.
423 * fits, multi-parameter linear: Multi-parameter fitting.
425 * fitting: Least-Squares Fitting.
427 * fitting, using Chebyshev polynomials: Chebyshev Approximations.
429 * Fj(x), Fermi-Dirac integral: Complete Fermi-Dirac Integrals.
431 * Fj(x,b), incomplete Fermi-Dirac integral: Incomplete Fermi-Dirac Integrals.
433 * flat distribution: The Flat (Uniform) Distribution.
435 * Fletcher-Reeves conjugate gradient algorithm, minimization: Multimin Algorithms.
437 * floating point numbers, approximate comparison: Approximate Comparison of Floating Point Numbers.
439 * force and energy, units of: Force and Energy. (line 6)
440 * Fortran range checking, equivalent in gcc: Accessing vector elements.
442 * Four-tap Generalized Feedback Shift Register: Random number generator algorithms.
444 * Fourier integrals, numerical: QAWF adaptive integration for Fourier integrals.
446 * Fourier Transforms, see FFT: Fast Fourier Transforms.
448 * Fractional Order Bessel Functions: Regular Bessel Function - Fractional Order.
450 * free documentation: Free Software Needs Free Documentation.
452 * free software, explanation of: GSL is Free Software.
454 * frexp: Elementary Functions.
456 * functions, numerical differentiation: Numerical Differentiation.
458 * fundamental constants: Fundamental Constants.
460 * Gamma distribution: The Gamma Distribution.
462 * gamma functions: Gamma Functions. (line 6)
463 * Gauss-Kronrod quadrature: Integrands without weight functions.
465 * Gaussian distribution: The Gaussian Distribution.
467 * Gaussian distribution, bivariate: The Bivariate Gaussian Distribution.
469 * Gaussian Tail distribution: The Gaussian Tail Distribution.
471 * gcc extensions, range-checking: Accessing vector elements.
473 * gcc warning options: GCC warning options for numerical programs.
475 * gdb: Using gdb. (line 6)
476 * Gear method, differential equations: Stepping Functions. (line 98)
477 * Gegenbauer functions: Gegenbauer Functions.
479 * GEMM, Level-3 BLAS: Level 3 GSL BLAS Interface.
481 * GEMV, Level-2 BLAS: Level 2 GSL BLAS Interface.
483 * general polynomial equations, solving: General Polynomial Equations.
485 * generalized eigensystems: Real Generalized Nonsymmetric Eigensystems.
487 * generalized hermitian definite eigensystems: Complex Generalized Hermitian-Definite Eigensystems.
489 * generalized symmetric eigensystems: Real Generalized Symmetric-Definite Eigensystems.
491 * Geometric random variates <1>: The Hypergeometric Distribution.
493 * Geometric random variates: The Geometric Distribution.
495 * GER, Level-2 BLAS: Level 2 GSL BLAS Interface.
497 * GERC, Level-2 BLAS: Level 2 GSL BLAS Interface.
499 * GERU, Level-2 BLAS: Level 2 GSL BLAS Interface.
501 * Givens Rotation, BLAS: Level 1 GSL BLAS Interface.
503 * Givens Rotation, Modified, BLAS: Level 1 GSL BLAS Interface.
505 * GNU General Public License: Introduction. (line 6)
506 * golden section algorithm for finding minima: Minimization Algorithms.
508 * gsl_sf_result: The gsl_sf_result struct.
510 * gsl_sf_result_e10: The gsl_sf_result struct.
512 * Gumbel distribution (Type 1): The Type-1 Gumbel Distribution.
514 * Gumbel distribution (Type 2): The Type-2 Gumbel Distribution.
516 * Haar wavelets: DWT Initialization. (line 26)
517 * Hankel transforms, discrete: Discrete Hankel Transforms.
519 * HAVE_INLINE: Inline functions. (line 6)
520 * hazard function, normal distribution: Probability functions.
522 * HBOOK: Ntuple References and Further Reading.
524 * header files, including: Compiling and Linking.
526 * heapsort: Sorting. (line 6)
527 * HEMM, Level-3 BLAS: Level 3 GSL BLAS Interface.
529 * HEMV, Level-2 BLAS: Level 2 GSL BLAS Interface.
531 * HER, Level-2 BLAS: Level 2 GSL BLAS Interface.
533 * HER2, Level-2 BLAS: Level 2 GSL BLAS Interface.
535 * HER2K, Level-3 BLAS: Level 3 GSL BLAS Interface.
537 * HERK, Level-3 BLAS: Level 3 GSL BLAS Interface.
539 * hermitian matrix, complex, eigensystem: Complex Hermitian Matrices.
541 * hessenberg decomposition: Hessenberg Decomposition of Real Matrices.
543 * hessenberg triangular decomposition: Hessenberg-Triangular Decomposition of Real Matrices.
545 * histogram statistics: Histogram Statistics.
547 * histogram, from ntuple: Histogramming ntuple values.
549 * histograms: Histograms. (line 6)
550 * histograms, random sampling from: The histogram probability distribution struct.
552 * Householder linear solver: Householder solver for linear systems.
554 * Householder matrix: Householder Transformations.
556 * Householder transformation: Householder Transformations.
558 * HYBRID algorithm, unscaled without derivatives: Algorithms without Derivatives.
560 * HYBRID algorithms for nonlinear systems: Algorithms using Derivatives.
562 * HYBRIDJ algorithm: Algorithms using Derivatives.
564 * HYBRIDS algorithm, scaled without derivatives: Algorithms without Derivatives.
566 * HYBRIDSJ algorithm: Algorithms using Derivatives.
568 * hydrogen atom: Coulomb Functions. (line 6)
569 * hyperbolic cosine, inverse: Elementary Functions.
571 * hyperbolic functions, complex numbers: Complex Hyperbolic Functions.
573 * hyperbolic integrals: Hyperbolic Integrals.
575 * hyperbolic sine, inverse: Elementary Functions.
577 * hyperbolic space: Legendre Functions and Spherical Harmonics.
579 * hyperbolic tangent, inverse: Elementary Functions.
581 * hypergeometric functions: Hypergeometric Functions.
583 * hypergeometric random variates: The Hypergeometric Distribution.
585 * hypot: Elementary Functions.
587 * hypot function, special functions: Circular Trigonometric Functions.
589 * identity matrix: Initializing matrix elements.
591 * identity permutation: Permutation allocation.
593 * IEEE exceptions: Setting up your IEEE environment.
595 * IEEE floating point: IEEE floating-point arithmetic.
597 * IEEE format for floating point numbers: Representation of floating point numbers.
599 * IEEE infinity, defined as a macro: Infinities and Not-a-number.
601 * IEEE NaN, defined as a macro: Infinities and Not-a-number.
603 * illumination, units of: Light and Illumination.
605 * imperial units: Imperial Units. (line 6)
606 * importance sampling, VEGAS: VEGAS. (line 6)
607 * including GSL header files: Compiling and Linking.
609 * incomplete Beta function, normalized: Incomplete Beta Function.
611 * incomplete Fermi-Dirac integral: Incomplete Fermi-Dirac Integrals.
613 * incomplete Gamma function: Incomplete Gamma Functions.
615 * indirect sorting: Sorting objects. (line 57)
616 * indirect sorting, of vector elements: Sorting vectors. (line 31)
617 * infinity, defined as a macro: Infinities and Not-a-number.
619 * infinity, IEEE format: Representation of floating point numbers.
621 * info-gsl mailing list: Obtaining GSL. (line 6)
622 * initial value problems, differential equations: Ordinary Differential Equations.
624 * initializing matrices: Initializing matrix elements.
626 * initializing vectors: Initializing vector elements.
628 * inline functions: Inline functions. (line 6)
629 * integer powers: Power Function. (line 6)
630 * integrals, exponential: Exponential Integrals.
632 * integration, numerical (quadrature): Numerical Integration.
634 * interpolation: Interpolation. (line 6)
635 * interpolation, using Chebyshev polynomials: Chebyshev Approximations.
637 * inverse complex trigonometric functions: Inverse Complex Trigonometric Functions.
639 * inverse cumulative distribution functions: Random Number Distributions.
641 * inverse hyperbolic cosine: Elementary Functions.
643 * inverse hyperbolic functions, complex numbers: Inverse Complex Hyperbolic Functions.
645 * inverse hyperbolic sine: Elementary Functions.
647 * inverse hyperbolic tangent: Elementary Functions.
649 * inverse of a matrix, by LU decomposition: LU Decomposition. (line 68)
650 * inverting a permutation: Permutation functions.
652 * Irregular Cylindrical Bessel Functions: Irregular Cylindrical Bessel Functions.
654 * Irregular Modified Bessel Functions, Fractional Order: Irregular Modified Bessel Functions - Fractional Order.
656 * Irregular Modified Cylindrical Bessel Functions: Irregular Modified Cylindrical Bessel Functions.
658 * Irregular Modified Spherical Bessel Functions: Irregular Modified Spherical Bessel Functions.
660 * Irregular Spherical Bessel Functions: Irregular Spherical Bessel Functions.
662 * iterating through combinations: Combination functions.
664 * iterating through permutations: Permutation functions.
666 * iterative refinement of solutions in linear systems: LU Decomposition.
668 * Jacobi elliptic functions: Elliptic Functions (Jacobi).
670 * knots: Constructing the knots vector.
672 * Laguerre functions: Laguerre Functions. (line 6)
673 * Lambert function: Lambert W Functions. (line 6)
674 * Landau distribution: The Landau Distribution.
676 * LAPACK: Eigenvalue and Eigenvector References.
678 * Laplace distribution: The Laplace Distribution.
680 * LD_LIBRARY_PATH: Shared Libraries. (line 6)
681 * ldexp: Elementary Functions.
683 * leading dimension, matrices: Matrices. (line 6)
684 * least squares fit: Least-Squares Fitting.
686 * least squares fitting, nonlinear: Nonlinear Least-Squares Fitting.
688 * least squares, covariance of best-fit parameters: Computing the covariance matrix of best fit parameters.
690 * Legendre forms of elliptic integrals: Definition of Legendre Forms.
692 * Legendre functions: Legendre Functions and Spherical Harmonics.
694 * length, computed accurately using hypot: Elementary Functions.
696 * Levenberg-Marquardt algorithms: Minimization Algorithms using Derivatives.
698 * Levin u-transform: Series Acceleration. (line 6)
699 * Levy distribution: The Levy alpha-Stable Distributions.
701 * Levy distribution, skew: The Levy skew alpha-Stable Distribution.
703 * libraries, linking with: Linking programs with the library.
705 * libraries, shared: Shared Libraries. (line 6)
706 * license of GSL: Introduction. (line 6)
707 * light, units of: Light and Illumination.
709 * linear algebra: Linear Algebra. (line 6)
710 * linear algebra, BLAS: BLAS Support. (line 6)
711 * linear interpolation: Interpolation Types. (line 9)
712 * linear regression: Linear regression. (line 6)
713 * linear systems, refinement of solutions: LU Decomposition. (line 56)
714 * linear systems, solution of: LU Decomposition. (line 39)
715 * linking with GSL libraries: Linking programs with the library.
717 * LMDER algorithm: Minimization Algorithms using Derivatives.
719 * log1p: Elementary Functions.
721 * logarithm and related functions: Logarithm and Related Functions.
723 * logarithm of Beta function: Beta Functions. (line 16)
724 * logarithm of combinatorial factor C(m,n): Factorials. (line 48)
725 * logarithm of complex number: Elementary Complex Functions.
727 * logarithm of cosh function, special functions: Hyperbolic Trigonometric Functions.
729 * logarithm of double factorial: Factorials. (line 36)
730 * logarithm of factorial: Factorials. (line 29)
731 * logarithm of Gamma function: Gamma Functions. (line 25)
732 * logarithm of Pochhammer symbol: Pochhammer Symbol. (line 17)
733 * logarithm of sinh function, special functions: Hyperbolic Trigonometric Functions.
735 * logarithm of the determinant of a matrix: LU Decomposition. (line 90)
736 * logarithm, computed accurately near 1: Elementary Functions.
738 * Logarithmic random variates: The Logarithmic Distribution.
740 * Logistic distribution: The Logistic Distribution.
742 * Lognormal distribution: The Lognormal Distribution.
744 * long double: Long double. (line 6)
745 * low discrepancy sequences: Quasi-Random Sequences.
747 * Low-level CBLAS: GSL CBLAS Library. (line 6)
748 * LU decomposition: LU Decomposition. (line 6)
749 * macros for mathematical constants: Mathematical Constants.
751 * magnitude of complex number: Properties of complex numbers.
753 * mailing list archives: Further Information. (line 6)
754 * mailing list for GSL announcements: Obtaining GSL. (line 6)
755 * mailing list, bug-gsl: Reporting Bugs. (line 6)
756 * mantissa, IEEE format: Representation of floating point numbers.
758 * mass, units of: Mass and Weight. (line 6)
759 * mathematical constants, defined as macros: Mathematical Constants.
761 * mathematical functions, elementary: Mathematical Functions.
763 * Mathieu Function Characteristic Values: Mathieu Function Characteristic Values.
765 * Mathieu functions: Mathieu Functions. (line 6)
766 * matrices <1>: Matrices. (line 6)
767 * matrices: Vectors and Matrices.
769 * matrices, initializing: Initializing matrix elements.
771 * matrices, range-checking: Accessing matrix elements.
773 * matrix determinant: LU Decomposition. (line 82)
774 * matrix diagonal: Creating row and column views.
776 * matrix factorization: Linear Algebra. (line 6)
777 * matrix inverse: LU Decomposition. (line 68)
778 * matrix square root, Cholesky decomposition: Cholesky Decomposition.
780 * matrix subdiagonal: Creating row and column views.
782 * matrix superdiagonal: Creating row and column views.
784 * matrix, constant: Initializing matrix elements.
786 * matrix, identity: Initializing matrix elements.
788 * matrix, operations: BLAS Support. (line 6)
789 * matrix, zero: Initializing matrix elements.
791 * max: Statistics. (line 6)
792 * maximal phase, Daubechies wavelets: DWT Initialization. (line 20)
793 * maximization, see minimization: One dimensional Minimization.
795 * maximum of two numbers: Maximum and Minimum functions.
797 * maximum value, from histogram: Histogram Statistics.
799 * mean: Statistics. (line 6)
800 * mean value, from histogram: Histogram Statistics.
802 * Mill's ratio, inverse: Probability functions.
804 * min: Statistics. (line 6)
805 * minimization, BFGS algorithm: Multimin Algorithms. (line 37)
806 * minimization, caveats: Minimization Caveats.
808 * minimization, conjugate gradient algorithm: Multimin Algorithms.
810 * minimization, multidimensional: Multidimensional Minimization.
812 * minimization, one-dimensional: One dimensional Minimization.
814 * minimization, overview: Minimization Overview.
816 * minimization, Polak-Ribiere algorithm: Multimin Algorithms. (line 29)
817 * minimization, providing a function to minimize: Providing the function to minimize.
819 * minimization, simplex algorithm: Multimin Algorithms. (line 67)
820 * minimization, steepest descent algorithm: Multimin Algorithms.
822 * minimization, stopping parameters: Minimization Stopping Parameters.
824 * minimum finding, Brent's method: Minimization Algorithms.
826 * minimum finding, golden section algorithm: Minimization Algorithms.
828 * minimum of two numbers: Maximum and Minimum functions.
830 * minimum value, from histogram: Histogram Statistics.
832 * MINPACK, minimization algorithms <1>: Minimization Algorithms using Derivatives.
834 * MINPACK, minimization algorithms: Algorithms using Derivatives.
836 * MISCFUN: Special Functions References and Further Reading.
838 * MISER monte carlo integration: MISER. (line 6)
839 * Mixed-radix FFT, complex data: Mixed-radix FFT routines for complex data.
841 * Mixed-radix FFT, real data: Mixed-radix FFT routines for real data.
843 * Modified Bessel Functions, Fractional Order: Regular Modified Bessel Functions - Fractional Order.
845 * Modified Clenshaw-Curtis quadrature: Integrands with weight functions.
847 * Modified Cylindrical Bessel Functions: Regular Modified Cylindrical Bessel Functions.
849 * Modified Givens Rotation, BLAS: Level 1 GSL BLAS Interface.
851 * Modified Newton's method for nonlinear systems: Algorithms using Derivatives.
853 * Modified Spherical Bessel Functions: Regular Modified Spherical Bessel Functions.
855 * Monte Carlo integration: Monte Carlo Integration.
857 * MRG, multiple recursive random number generator: Random number generator algorithms.
859 * MT19937 random number generator: Random number generator algorithms.
861 * multi-parameter regression: Multi-parameter fitting.
863 * multidimensional root finding, Broyden algorithm: Algorithms without Derivatives.
865 * multidimensional root finding, overview: Overview of Multidimensional Root Finding.
867 * multidimensional root finding, providing a function to solve: Providing the multidimensional system of equations to solve.
869 * Multimin, caveats: Multimin Caveats. (line 6)
870 * Multinomial distribution: The Multinomial Distribution.
872 * multiplication: Elementary Operations.
874 * N-dimensional random direction vector: Spherical Vector Distributions.
876 * NaN, defined as a macro: Infinities and Not-a-number.
878 * nautical units: Speed and Nautical Units.
880 * Negative Binomial distribution, random variates: The Negative Binomial Distribution.
882 * Nelder-Mead simplex algorithm for minimization: Multimin Algorithms.
884 * Newton algorithm, discrete: Algorithms without Derivatives.
886 * Newton algorithm, globally convergent: Algorithms using Derivatives.
888 * Newton's method for finding roots: Root Finding Algorithms using Derivatives.
890 * Newton's method for systems of nonlinear equations: Algorithms using Derivatives.
892 * Niederreiter sequence: Quasi-Random Sequences.
894 * NIST Statistical Reference Datasets: Fitting References and Further Reading.
896 * non-normalized incomplete Gamma function: Incomplete Gamma Functions.
898 * nonlinear equation, solutions of: One dimensional Root-Finding.
900 * nonlinear fitting, stopping parameters: Search Stopping Parameters for Minimization Algorithms.
902 * nonlinear functions, minimization: One dimensional Minimization.
904 * nonlinear least squares fitting: Nonlinear Least-Squares Fitting.
906 * nonlinear least squares fitting, overview: Overview of Nonlinear Least-Squares Fitting.
908 * nonlinear systems of equations, solution of: Multidimensional Root-Finding.
910 * nonsymmetric matrix, real, eigensystem: Real Nonsymmetric Matrices.
912 * normalized form, IEEE format: Representation of floating point numbers.
914 * normalized incomplete Beta function: Incomplete Beta Function.
916 * Not-a-number, defined as a macro: Infinities and Not-a-number.
918 * NRM2, Level-1 BLAS: Level 1 GSL BLAS Interface.
920 * ntuples: N-tuples. (line 6)
921 * nuclear physics, constants: Atomic and Nuclear Physics.
923 * numerical constants, defined as macros: Mathematical Constants.
925 * numerical derivatives: Numerical Differentiation.
927 * numerical integration (quadrature): Numerical Integration.
929 * obtaining GSL: Obtaining GSL. (line 6)
930 * ODEs, initial value problems: Ordinary Differential Equations.
932 * optimization, combinatorial: Simulated Annealing. (line 6)
933 * optimization, see minimization: One dimensional Minimization.
935 * optimized functions, alternatives: Alternative optimized functions.
937 * ordinary differential equations, initial value problem: Ordinary Differential Equations.
939 * oscillatory functions, numerical integration of: QAWO adaptive integration for oscillatory functions.
941 * overflow, IEEE exceptions: Setting up your IEEE environment.
943 * Pareto distribution: The Pareto Distribution.
945 * PAW: Ntuple References and Further Reading.
947 * permutations: Permutations. (line 6)
948 * physical constants: Physical Constants. (line 6)
949 * physical dimension, matrices: Matrices. (line 6)
950 * pi, defined as a macro: Mathematical Constants.
952 * plain monte carlo: PLAIN Monte Carlo. (line 6)
953 * Pochhammer symbol: Pochhammer Symbol. (line 9)
954 * Poisson random numbers: The Poisson Distribution.
956 * Polak-Ribiere algorithm, minimization: Multimin Algorithms. (line 29)
957 * polar form of complex numbers: Complex numbers. (line 6)
958 * polar to rectangular conversion: Conversion Functions.
960 * polygamma functions: Psi (Digamma) Function.
962 * polynomial evaluation: Polynomial Evaluation.
964 * polynomial interpolation: Interpolation Types. (line 13)
965 * polynomials, roots of: Polynomials. (line 6)
966 * power function: Power Function. (line 6)
967 * power of complex number: Elementary Complex Functions.
969 * power, units of: Thermal Energy and Power.
971 * precision, IEEE arithmetic: Setting up your IEEE environment.
973 * prefixes: Prefixes. (line 6)
974 * pressure, units of: Pressure. (line 6)
975 * Prince-Dormand, Runge-Kutta method: Stepping Functions. (line 85)
976 * printers units: Printers Units. (line 6)
977 * probability distribution, from histogram: The histogram probability distribution struct.
979 * probability distributions, from histograms: Resampling from histograms.
981 * projection of ntuples: Histogramming ntuple values.
983 * psi function: Psi (Digamma) Function.
985 * QAG quadrature algorithm: QAG adaptive integration.
987 * QAGI quadrature algorithm: QAGI adaptive integration on infinite intervals.
989 * QAGP quadrature algorithm: QAGP adaptive integration with known singular points.
991 * QAGS quadrature algorithm: QAGS adaptive integration with singularities.
993 * QAWC quadrature algorithm: QAWC adaptive integration for Cauchy principal values.
995 * QAWF quadrature algorithm: QAWF adaptive integration for Fourier integrals.
997 * QAWO quadrature algorithm: QAWO adaptive integration for oscillatory functions.
999 * QAWS quadrature algorithm: QAWS adaptive integration for singular functions.
1001 * QNG quadrature algorithm: QNG non-adaptive Gauss-Kronrod integration.
1003 * QR decomposition: QR Decomposition. (line 6)
1004 * QR decomposition with column pivoting: QR Decomposition with Column Pivoting.
1006 * QUADPACK: Numerical Integration.
1008 * quadratic equation, solving: Quadratic Equations. (line 6)
1009 * quadrature: Numerical Integration.
1011 * quantile functions: Random Number Distributions.
1013 * quasi-random sequences: Quasi-Random Sequences.
1015 * R250 shift-register random number generator: Other random number generators.
1017 * Racah coefficients: Coupling Coefficients.
1019 * Radial Mathieu Functions: Radial Mathieu Functions.
1021 * radioactivity, units of: Radioactivity. (line 6)
1022 * Radix-2 FFT for real data: Radix-2 FFT routines for real data.
1024 * Radix-2 FFT, complex data: Radix-2 FFT routines for complex data.
1026 * rand, BSD random number generator: Unix random number generators.
1028 * rand48 random number generator: Unix random number generators.
1030 * random number distributions: Random Number Distributions.
1032 * random number generators: Random Number Generation.
1034 * random sampling from histograms: The histogram probability distribution struct.
1036 * RANDU random number generator: Other random number generators.
1038 * RANF random number generator: Other random number generators.
1040 * range: Statistics. (line 6)
1041 * range-checking for matrices: Accessing matrix elements.
1043 * range-checking for vectors: Accessing vector elements.
1045 * RANLUX random number generator: Random number generator algorithms.
1047 * RANLXD random number generator: Random number generator algorithms.
1049 * RANLXS random number generator: Random number generator algorithms.
1051 * RANMAR random number generator: Other random number generators.
1053 * Rayleigh distribution: The Rayleigh Distribution.
1055 * Rayleigh Tail distribution: The Rayleigh Tail Distribution.
1057 * real nonsymmetric matrix, eigensystem: Real Nonsymmetric Matrices.
1059 * real symmetric matrix, eigensystem: Real Symmetric Matrices.
1061 * Reciprocal Gamma function: Gamma Functions. (line 50)
1062 * rectangular to polar conversion: Conversion Functions.
1064 * recursive stratified sampling, MISER: MISER. (line 6)
1065 * reduction of angular variables: Restriction Functions.
1067 * refinement of solutions in linear systems: LU Decomposition.
1069 * regression, least squares: Least-Squares Fitting.
1071 * Regular Bessel Functions, Fractional Order: Regular Bessel Function - Fractional Order.
1073 * Regular Bessel Functions, Zeros of: Zeros of Regular Bessel Functions.
1075 * Regular Cylindrical Bessel Functions: Regular Cylindrical Bessel Functions.
1077 * Regular Modified Bessel Functions, Fractional Order: Regular Modified Bessel Functions - Fractional Order.
1079 * Regular Modified Cylindrical Bessel Functions: Regular Modified Cylindrical Bessel Functions.
1081 * Regular Modified Spherical Bessel Functions: Regular Modified Spherical Bessel Functions.
1083 * Regular Spherical Bessel Functions: Regular Spherical Bessel Functions.
1085 * Regulated Gamma function: Gamma Functions. (line 41)
1086 * relative Pochhammer symbol: Pochhammer Symbol. (line 31)
1087 * reporting bugs in GSL: Reporting Bugs. (line 6)
1088 * representations of complex numbers: Complex numbers. (line 6)
1089 * resampling from histograms: Resampling from histograms.
1091 * residual, in nonlinear systems of equations <1>: Search Stopping Parameters for Minimization Algorithms.
1093 * residual, in nonlinear systems of equations: Search Stopping Parameters for the multidimensional solver.
1095 * reversing a permutation: Permutation functions.
1097 * RK2, Runge-Kutta method: Stepping Functions. (line 70)
1098 * RK4, Runge-Kutta method: Stepping Functions. (line 73)
1099 * RKF45, Runge-Kutta-Fehlberg method: Stepping Functions. (line 78)
1100 * root finding: One dimensional Root-Finding.
1102 * root finding, bisection algorithm: Root Bracketing Algorithms.
1104 * root finding, Brent's method: Root Bracketing Algorithms.
1106 * root finding, caveats: Root Finding Caveats.
1108 * root finding, false position algorithm: Root Bracketing Algorithms.
1110 * root finding, initial guess: Search Bounds and Guesses.
1112 * root finding, Newton's method: Root Finding Algorithms using Derivatives.
1114 * root finding, overview: Root Finding Overview.
1116 * root finding, providing a function to solve: Providing the function to solve.
1118 * root finding, search bounds: Search Bounds and Guesses.
1120 * root finding, secant method: Root Finding Algorithms using Derivatives.
1122 * root finding, Steffenson's method: Root Finding Algorithms using Derivatives.
1124 * root finding, stopping parameters <1>: Search Stopping Parameters for the multidimensional solver.
1126 * root finding, stopping parameters: Search Stopping Parameters.
1128 * roots: One dimensional Root-Finding.
1130 * ROTG, Level-1 BLAS: Level 1 GSL BLAS Interface.
1132 * rounding mode: Setting up your IEEE environment.
1134 * Runge-Kutta Cash-Karp method: Stepping Functions. (line 82)
1135 * Runge-Kutta methods, ordinary differential equations: Stepping Functions.
1137 * Runge-Kutta Prince-Dormand method: Stepping Functions. (line 85)
1138 * safe comparison of floating point numbers: Approximate Comparison of Floating Point Numbers.
1140 * sampling from histograms <1>: The histogram probability distribution struct.
1142 * sampling from histograms: Resampling from histograms.
1144 * SAXPY, Level-1 BLAS: Level 1 GSL BLAS Interface.
1146 * SCAL, Level-1 BLAS: Level 1 GSL BLAS Interface.
1148 * schedule, cooling: Simulated Annealing algorithm.
1150 * se(q,x), Mathieu function: Angular Mathieu Functions.
1152 * secant method for finding roots: Root Finding Algorithms using Derivatives.
1154 * selection function, ntuples: Histogramming ntuple values.
1156 * series, acceleration: Series Acceleration. (line 6)
1157 * shared libraries: Shared Libraries. (line 6)
1158 * shell prompt: Conventions used in this manual.
1160 * Shi(x): Hyperbolic Integrals.
1162 * shift-register random number generator: Other random number generators.
1164 * Si(x): Trigonometric Integrals.
1166 * sign bit, IEEE format: Representation of floating point numbers.
1168 * sign of the determinant of a matrix: LU Decomposition. (line 98)
1169 * simplex algorithm, minimization: Multimin Algorithms. (line 67)
1170 * simulated annealing: Simulated Annealing. (line 6)
1171 * sin, of complex number: Complex Trigonometric Functions.
1173 * sine function, special functions: Circular Trigonometric Functions.
1175 * single precision, IEEE format: Representation of floating point numbers.
1177 * singular functions, numerical integration of: QAWS adaptive integration for singular functions.
1179 * singular points, specifying positions in quadrature: QAGP adaptive integration with known singular points.
1181 * singular value decomposition: Singular Value Decomposition.
1183 * Skew Levy distribution: The Levy skew alpha-Stable Distribution.
1185 * slope, see numerical derivative: Numerical Differentiation.
1187 * Sobol sequence: Quasi-Random Sequences.
1189 * solution of linear system by Householder transformations: Householder solver for linear systems.
1191 * solution of linear systems, Ax=b: Linear Algebra. (line 6)
1192 * solving a nonlinear equation: One dimensional Root-Finding.
1194 * solving nonlinear systems of equations: Multidimensional Root-Finding.
1196 * sorting: Sorting. (line 6)
1197 * sorting eigenvalues and eigenvectors: Sorting Eigenvalues and Eigenvectors.
1199 * sorting vector elements: Sorting vectors. (line 23)
1200 * source code, reuse in applications: Code Reuse. (line 6)
1201 * special functions: Special Functions. (line 6)
1202 * Spherical Bessel Functions: Regular Spherical Bessel Functions.
1204 * spherical harmonics: Legendre Functions and Spherical Harmonics.
1206 * spherical random variates, 2D: Spherical Vector Distributions.
1208 * spherical random variates, 3D: Spherical Vector Distributions.
1210 * spherical random variates, N-dimensional: Spherical Vector Distributions.
1212 * spline: Interpolation. (line 6)
1213 * splines, basis: Basis Splines. (line 6)
1214 * square root of a matrix, Cholesky decomposition: Cholesky Decomposition.
1216 * square root of complex number: Elementary Complex Functions.
1218 * standard deviation: Statistics. (line 6)
1219 * standard deviation, from histogram: Histogram Statistics.
1221 * standards conformance, ANSI C: Using the library. (line 6)
1222 * Statistical Reference Datasets (StRD): Fitting References and Further Reading.
1224 * statistics: Statistics. (line 6)
1225 * statistics, from histogram: Histogram Statistics.
1227 * steepest descent algorithm, minimization: Multimin Algorithms.
1229 * Steffenson's method for finding roots: Root Finding Algorithms using Derivatives.
1231 * stratified sampling in monte carlo integration: Monte Carlo Integration.
1233 * stride, of vector index: Vectors. (line 6)
1234 * Student t-distribution: The t-distribution. (line 15)
1235 * subdiagonal, of a matrix: Creating row and column views.
1237 * summation, acceleration: Series Acceleration. (line 6)
1238 * superdiagonal, matrix: Creating row and column views.
1240 * SVD: Singular Value Decomposition.
1242 * SWAP, Level-1 BLAS: Level 1 GSL BLAS Interface.
1244 * swapping permutation elements: Accessing permutation elements.
1246 * SYMM, Level-3 BLAS: Level 3 GSL BLAS Interface.
1248 * symmetric matrix, real, eigensystem: Real Symmetric Matrices.
1250 * SYMV, Level-2 BLAS: Level 2 GSL BLAS Interface.
1252 * synchrotron functions: Synchrotron Functions.
1254 * SYR, Level-2 BLAS: Level 2 GSL BLAS Interface.
1256 * SYR2, Level-2 BLAS: Level 2 GSL BLAS Interface.
1258 * SYR2K, Level-3 BLAS: Level 3 GSL BLAS Interface.
1260 * SYRK, Level-3 BLAS: Level 3 GSL BLAS Interface.
1262 * systems of equations, nonlinear: Multidimensional Root-Finding.
1264 * t-distribution: The t-distribution. (line 15)
1265 * t-test: Statistics. (line 6)
1266 * tangent of complex number: Complex Trigonometric Functions.
1268 * Tausworthe random number generator: Random number generator algorithms.
1270 * Taylor coefficients, computation of: Factorials. (line 54)
1271 * testing combination for validity: Combination properties.
1273 * testing permutation for validity: Permutation properties.
1275 * thermal energy, units of: Thermal Energy and Power.
1277 * time units: Measurement of Time. (line 6)
1278 * trailing dimension, matrices: Matrices. (line 6)
1279 * transformation, Householder: Householder Transformations.
1281 * transforms, Hankel: Discrete Hankel Transforms.
1283 * transforms, wavelet: Wavelet Transforms. (line 6)
1284 * transport functions: Transport Functions. (line 6)
1285 * traveling salesman problem: Traveling Salesman Problem.
1287 * tridiagonal decomposition <1>: Tridiagonal Decomposition of Hermitian Matrices.
1289 * tridiagonal decomposition: Tridiagonal Decomposition of Real Symmetric Matrices.
1291 * tridiagonal systems: Tridiagonal Systems. (line 6)
1292 * trigonometric functions: Trigonometric Functions.
1294 * trigonometric functions of complex numbers: Complex Trigonometric Functions.
1296 * trigonometric integrals: Trigonometric Integrals.
1298 * TRMM, Level-3 BLAS: Level 3 GSL BLAS Interface.
1300 * TRMV, Level-2 BLAS: Level 2 GSL BLAS Interface.
1302 * TRSM, Level-3 BLAS: Level 3 GSL BLAS Interface.
1304 * TRSV, Level-2 BLAS: Level 2 GSL BLAS Interface.
1306 * TSP: Traveling Salesman Problem.
1308 * TT800 random number generator: Other random number generators.
1310 * two dimensional Gaussian distribution: The Bivariate Gaussian Distribution.
1312 * two dimensional histograms: Two dimensional histograms.
1314 * two-sided exponential distribution: The Laplace Distribution.
1316 * Type 1 Gumbel distribution, random variates: The Type-1 Gumbel Distribution.
1318 * Type 2 Gumbel distribution: The Type-2 Gumbel Distribution.
1320 * u-transform for series: Series Acceleration. (line 6)
1321 * underflow, IEEE exceptions: Setting up your IEEE environment.
1323 * uniform distribution: The Flat (Uniform) Distribution.
1325 * units, conversion of: Physical Constants. (line 6)
1326 * units, imperial: Imperial Units. (line 6)
1327 * Unix random number generators, rand: Unix random number generators.
1329 * Unix random number generators, rand48: Unix random number generators.
1331 * unnormalized incomplete Gamma function: Incomplete Gamma Functions.
1333 * unweighted linear fits: Least-Squares Fitting.
1335 * usage, compiling application programs: Using the library. (line 6)
1336 * value function, ntuples: Histogramming ntuple values.
1338 * Van der Pol oscillator, example: ODE Example programs.
1340 * variance: Statistics. (line 6)
1341 * variance, from histogram: Histogram Statistics.
1343 * variance-covariance matrix, linear fits: Fitting Overview. (line 47)
1344 * VAX random number generator: Other random number generators.
1346 * vector, operations: BLAS Support. (line 6)
1347 * vector, sorting elements of: Sorting vectors. (line 23)
1348 * vectors <1>: Vectors. (line 6)
1349 * vectors: Vectors and Matrices.
1351 * vectors, initializing: Initializing vector elements.
1353 * vectors, range-checking: Accessing vector elements.
1355 * VEGAS monte carlo integration: VEGAS. (line 6)
1356 * viscosity, units of: Viscosity. (line 6)
1357 * volume units: Volume Area and Length.
1359 * W function: Lambert W Functions. (line 6)
1360 * warning options: GCC warning options for numerical programs.
1362 * warranty (none): No Warranty. (line 6)
1363 * wavelet transforms: Wavelet Transforms. (line 6)
1364 * website, developer information: Further Information. (line 6)
1365 * Weibull distribution: The Weibull Distribution.
1367 * weight, units of: Mass and Weight. (line 6)
1368 * weighted linear fits: Least-Squares Fitting.
1370 * Wigner coefficients: Coupling Coefficients.
1372 * zero finding: One dimensional Root-Finding.
1374 * zero matrix: Initializing matrix elements.
1376 * zero, IEEE format: Representation of floating point numbers.
1378 * Zeros of Regular Bessel Functions: Zeros of Regular Bessel Functions.
1380 * Zeta functions: Zeta Functions. (line 6)
projects / htsworkflow.git / blob