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
27 gsl-ref.info-2: 300894
28 gsl-ref.info-3: 599483
29 gsl-ref.info-4: 896610
30 gsl-ref.info-5: 1119386
31 gsl-ref.info-6: 1365699
36 Node: Introduction
\7f3617
37 Node: Routines available in GSL
\7f4269
38 Node: GSL is Free Software
\7f6184
39 Node: Obtaining GSL
\7f8576
40 Node: No Warranty
\7f9717
41 Node: Reporting Bugs
\7f10223
42 Node: Further Information
\7f11107
43 Node: Conventions used in this manual
\7f12120
44 Node: Using the library
\7f12884
45 Node: An Example Program
\7f13470
46 Ref: An Example Program-Footnote-1
\7f14213
47 Node: Compiling and Linking
\7f14320
48 Node: Linking programs with the library
\7f15390
49 Node: Linking with an alternative BLAS library
\7f16535
50 Node: Shared Libraries
\7f17465
51 Node: ANSI C Compliance
\7f18881
52 Node: Inline functions
\7f19974
53 Node: Long double
\7f21017
54 Node: Portability functions
\7f22605
55 Node: Alternative optimized functions
\7f24002
56 Node: Support for different numeric types
\7f25460
57 Node: Compatibility with C++
\7f28523
58 Node: Aliasing of arrays
\7f29095
59 Node: Thread-safety
\7f29846
60 Node: Deprecated Functions
\7f30933
61 Node: Code Reuse
\7f31558
62 Node: Error Handling
\7f32202
63 Node: Error Reporting
\7f32952
64 Node: Error Codes
\7f34844
65 Node: Error Handlers
\7f36700
66 Node: Using GSL error reporting in your own functions
\7f40337
67 Node: Error Reporting Examples
\7f42295
68 Node: Mathematical Functions
\7f43507
69 Node: Mathematical Constants
\7f44268
70 Node: Infinities and Not-a-number
\7f45398
71 Node: Elementary Functions
\7f46466
72 Node: Small integer powers
\7f48913
73 Node: Testing the Sign of Numbers
\7f50497
74 Node: Testing for Odd and Even Numbers
\7f50928
75 Node: Maximum and Minimum functions
\7f51484
76 Node: Approximate Comparison of Floating Point Numbers
\7f53566
77 Node: Complex Numbers
\7f54925
78 Ref: Complex Numbers-Footnote-1
\7f56233
79 Node: Complex numbers
\7f56297
80 Node: Properties of complex numbers
\7f58180
81 Node: Complex arithmetic operators
\7f59167
82 Node: Elementary Complex Functions
\7f61913
83 Node: Complex Trigonometric Functions
\7f63733
84 Node: Inverse Complex Trigonometric Functions
\7f64954
85 Node: Complex Hyperbolic Functions
\7f67560
86 Node: Inverse Complex Hyperbolic Functions
\7f68856
87 Node: Complex Number References and Further Reading
\7f70844
88 Node: Polynomials
\7f72240
89 Node: Polynomial Evaluation
\7f73007
90 Node: Divided Difference Representation of Polynomials
\7f74038
91 Node: Quadratic Equations
\7f75787
92 Node: Cubic Equations
\7f77727
93 Node: General Polynomial Equations
\7f79309
94 Node: Roots of Polynomials Examples
\7f81654
95 Node: Roots of Polynomials References and Further Reading
\7f83043
96 Node: Special Functions
\7f83988
97 Node: Special Function Usage
\7f85982
98 Node: The gsl_sf_result struct
\7f87165
99 Node: Special Function Modes
\7f88429
100 Node: Airy Functions and Derivatives
\7f89365
101 Node: Airy Functions
\7f90061
102 Node: Derivatives of Airy Functions
\7f91421
103 Node: Zeros of Airy Functions
\7f92933
104 Node: Zeros of Derivatives of Airy Functions
\7f93652
105 Node: Bessel Functions
\7f94411
106 Node: Regular Cylindrical Bessel Functions
\7f95603
107 Node: Irregular Cylindrical Bessel Functions
\7f96927
108 Node: Regular Modified Cylindrical Bessel Functions
\7f98383
109 Node: Irregular Modified Cylindrical Bessel Functions
\7f101210
110 Node: Regular Spherical Bessel Functions
\7f104178
111 Node: Irregular Spherical Bessel Functions
\7f106390
112 Node: Regular Modified Spherical Bessel Functions
\7f108077
113 Node: Irregular Modified Spherical Bessel Functions
\7f110080
114 Node: Regular Bessel Function - Fractional Order
\7f112143
115 Node: Irregular Bessel Functions - Fractional Order
\7f113141
116 Node: Regular Modified Bessel Functions - Fractional Order
\7f113723
117 Node: Irregular Modified Bessel Functions - Fractional Order
\7f114648
118 Node: Zeros of Regular Bessel Functions
\7f115884
119 Node: Clausen Functions
\7f116987
120 Node: Coulomb Functions
\7f117591
121 Node: Normalized Hydrogenic Bound States
\7f118040
122 Node: Coulomb Wave Functions
\7f119153
123 Node: Coulomb Wave Function Normalization Constant
\7f122563
124 Node: Coupling Coefficients
\7f123316
125 Node: 3-j Symbols
\7f124039
126 Node: 6-j Symbols
\7f124643
127 Node: 9-j Symbols
\7f125267
128 Node: Dawson Function
\7f125973
129 Node: Debye Functions
\7f126540
130 Node: Dilogarithm
\7f128314
131 Node: Real Argument
\7f128609
132 Node: Complex Argument
\7f129302
133 Node: Elementary Operations
\7f129771
134 Node: Elliptic Integrals
\7f130595
135 Node: Definition of Legendre Forms
\7f131167
136 Node: Definition of Carlson Forms
\7f131987
137 Node: Legendre Form of Complete Elliptic Integrals
\7f132684
138 Node: Legendre Form of Incomplete Elliptic Integrals
\7f134252
139 Node: Carlson Forms
\7f136440
140 Node: Elliptic Functions (Jacobi)
\7f137987
141 Node: Error Functions
\7f138568
142 Node: Error Function
\7f139019
143 Node: Complementary Error Function
\7f139392
144 Node: Log Complementary Error Function
\7f139852
145 Node: Probability functions
\7f140304
146 Node: Exponential Functions
\7f141557
147 Node: Exponential Function
\7f141940
148 Node: Relative Exponential Functions
\7f143163
149 Node: Exponentiation With Error Estimate
\7f144834
150 Node: Exponential Integrals
\7f146043
151 Node: Exponential Integral
\7f146525
153 Node: Hyperbolic Integrals
\7f147900
154 Node: Ei_3(x)
\7f148556
155 Node: Trigonometric Integrals
\7f148948
156 Node: Arctangent Integral
\7f149547
157 Node: Fermi-Dirac Function
\7f149947
158 Node: Complete Fermi-Dirac Integrals
\7f150317
159 Node: Incomplete Fermi-Dirac Integrals
\7f152885
160 Node: Gamma and Beta Functions
\7f153528
161 Node: Gamma Functions
\7f153964
162 Node: Factorials
\7f157085
163 Node: Pochhammer Symbol
\7f159638
164 Node: Incomplete Gamma Functions
\7f161150
165 Node: Beta Functions
\7f162399
166 Node: Incomplete Beta Function
\7f163151
167 Node: Gegenbauer Functions
\7f163862
168 Node: Hypergeometric Functions
\7f165512
169 Node: Laguerre Functions
\7f169792
170 Node: Lambert W Functions
\7f171355
171 Node: Legendre Functions and Spherical Harmonics
\7f172393
172 Node: Legendre Polynomials
\7f172982
173 Node: Associated Legendre Polynomials and Spherical Harmonics
\7f175062
174 Node: Conical Functions
\7f177943
175 Node: Radial Functions for Hyperbolic Space
\7f180066
176 Node: Logarithm and Related Functions
\7f182243
177 Node: Mathieu Functions
\7f183867
178 Node: Mathieu Function Workspace
\7f185216
179 Node: Mathieu Function Characteristic Values
\7f186029
180 Node: Angular Mathieu Functions
\7f187097
181 Node: Radial Mathieu Functions
\7f188129
182 Node: Power Function
\7f189367
183 Node: Psi (Digamma) Function
\7f190294
184 Node: Digamma Function
\7f190814
185 Node: Trigamma Function
\7f191644
186 Node: Polygamma Function
\7f192221
187 Node: Synchrotron Functions
\7f192605
188 Node: Transport Functions
\7f193368
189 Node: Trigonometric Functions
\7f194515
190 Node: Circular Trigonometric Functions
\7f195138
191 Node: Trigonometric Functions for Complex Arguments
\7f196147
192 Node: Hyperbolic Trigonometric Functions
\7f197181
193 Node: Conversion Functions
\7f197784
194 Node: Restriction Functions
\7f198567
195 Node: Trigonometric Functions With Error Estimates
\7f199499
196 Node: Zeta Functions
\7f200409
197 Node: Riemann Zeta Function
\7f200867
198 Node: Riemann Zeta Function Minus One
\7f201546
199 Node: Hurwitz Zeta Function
\7f202317
200 Node: Eta Function
\7f202822
201 Node: Special Functions Examples
\7f203381
202 Node: Special Functions References and Further Reading
\7f205075
203 Node: Vectors and Matrices
\7f206182
204 Node: Data types
\7f206941
205 Node: Blocks
\7f208144
206 Node: Block allocation
\7f209060
207 Node: Reading and writing blocks
\7f210544
208 Node: Example programs for blocks
\7f212608
209 Node: Vectors
\7f213235
210 Node: Vector allocation
\7f215121
211 Node: Accessing vector elements
\7f216739
212 Node: Initializing vector elements
\7f219222
213 Node: Reading and writing vectors
\7f219916
214 Node: Vector views
\7f222006
215 Node: Copying vectors
\7f229448
216 Node: Exchanging elements
\7f230308
217 Node: Vector operations
\7f230866
218 Node: Finding maximum and minimum elements of vectors
\7f232380
219 Node: Vector properties
\7f233905
220 Node: Example programs for vectors
\7f234519
221 Node: Matrices
\7f236808
222 Node: Matrix allocation
\7f239666
223 Node: Accessing matrix elements
\7f241333
224 Node: Initializing matrix elements
\7f243282
225 Node: Reading and writing matrices
\7f244078
226 Node: Matrix views
\7f246181
227 Node: Creating row and column views
\7f253321
228 Node: Copying matrices
\7f257792
229 Node: Copying rows and columns
\7f258388
230 Node: Exchanging rows and columns
\7f260065
231 Node: Matrix operations
\7f261543
232 Node: Finding maximum and minimum elements of matrices
\7f263183
233 Node: Matrix properties
\7f265087
234 Node: Example programs for matrices
\7f265826
235 Node: Vector and Matrix References and Further Reading
\7f269897
236 Node: Permutations
\7f270383
237 Node: The Permutation struct
\7f271671
238 Node: Permutation allocation
\7f272175
239 Node: Accessing permutation elements
\7f273609
240 Node: Permutation properties
\7f274452
241 Node: Permutation functions
\7f275157
242 Node: Applying Permutations
\7f276414
243 Node: Reading and writing permutations
\7f278339
244 Ref: Reading and writing permutations-Footnote-1
\7f280554
245 Node: Permutations in cyclic form
\7f280666
246 Node: Permutation Examples
\7f284091
247 Node: Permutation References and Further Reading
\7f286634
248 Node: Combinations
\7f287308
249 Node: The Combination struct
\7f288153
250 Node: Combination allocation
\7f288705
251 Node: Accessing combination elements
\7f290490
252 Node: Combination properties
\7f291149
253 Node: Combination functions
\7f292035
254 Node: Reading and writing combinations
\7f292975
255 Ref: Reading and writing combinations-Footnote-1
\7f295209
256 Node: Combination Examples
\7f295321
257 Node: Combination References and Further Reading
\7f296629
258 Node: Sorting
\7f297033
259 Node: Sorting objects
\7f297983
260 Node: Sorting vectors
\7f300894
261 Node: Selecting the k smallest or largest elements
\7f303470
262 Node: Computing the rank
\7f306804
263 Node: Sorting Examples
\7f308005
264 Node: Sorting References and Further Reading
\7f309649
265 Node: BLAS Support
\7f310195
266 Node: GSL BLAS Interface
\7f313170
267 Node: Level 1 GSL BLAS Interface
\7f313657
268 Node: Level 2 GSL BLAS Interface
\7f320400
269 Node: Level 3 GSL BLAS Interface
\7f329694
270 Node: BLAS Examples
\7f340830
271 Node: BLAS References and Further Reading
\7f342251
272 Node: Linear Algebra
\7f343610
273 Node: LU Decomposition
\7f344735
274 Node: QR Decomposition
\7f349943
275 Node: QR Decomposition with Column Pivoting
\7f356148
276 Node: Singular Value Decomposition
\7f360558
277 Node: Cholesky Decomposition
\7f364148
278 Node: Tridiagonal Decomposition of Real Symmetric Matrices
\7f366862
279 Node: Tridiagonal Decomposition of Hermitian Matrices
\7f368710
280 Node: Hessenberg Decomposition of Real Matrices
\7f370665
281 Node: Hessenberg-Triangular Decomposition of Real Matrices
\7f373075
282 Node: Bidiagonalization
\7f374195
283 Node: Householder Transformations
\7f376618
284 Node: Householder solver for linear systems
\7f378970
285 Node: Tridiagonal Systems
\7f379875
286 Node: Balancing
\7f382747
287 Node: Linear Algebra Examples
\7f383548
288 Node: Linear Algebra References and Further Reading
\7f385536
289 Node: Eigensystems
\7f387026
290 Node: Real Symmetric Matrices
\7f388240
291 Node: Complex Hermitian Matrices
\7f390754
292 Node: Real Nonsymmetric Matrices
\7f393262
293 Node: Real Generalized Symmetric-Definite Eigensystems
\7f398465
294 Node: Complex Generalized Hermitian-Definite Eigensystems
\7f401337
295 Node: Real Generalized Nonsymmetric Eigensystems
\7f404044
296 Node: Sorting Eigenvalues and Eigenvectors
\7f410618
297 Node: Eigenvalue and Eigenvector Examples
\7f413895
298 Node: Eigenvalue and Eigenvector References
\7f419283
299 Node: Fast Fourier Transforms
\7f420308
300 Node: Mathematical Definitions
\7f421517
301 Node: Overview of complex data FFTs
\7f423922
302 Node: Radix-2 FFT routines for complex data
\7f426865
303 Node: Mixed-radix FFT routines for complex data
\7f431077
304 Node: Overview of real data FFTs
\7f440406
305 Node: Radix-2 FFT routines for real data
\7f442840
306 Node: Mixed-radix FFT routines for real data
\7f445847
307 Node: FFT References and Further Reading
\7f456427
308 Node: Numerical Integration
\7f459296
309 Node: Numerical Integration Introduction
\7f460841
310 Node: Integrands without weight functions
\7f463110
311 Node: Integrands with weight functions
\7f463939
312 Node: Integrands with singular weight functions
\7f464650
313 Node: QNG non-adaptive Gauss-Kronrod integration
\7f465568
314 Node: QAG adaptive integration
\7f466849
315 Node: QAGS adaptive integration with singularities
\7f469480
316 Node: QAGP adaptive integration with known singular points
\7f471280
317 Node: QAGI adaptive integration on infinite intervals
\7f472594
318 Node: QAWC adaptive integration for Cauchy principal values
\7f474887
319 Node: QAWS adaptive integration for singular functions
\7f476062
320 Node: QAWO adaptive integration for oscillatory functions
\7f479284
321 Node: QAWF adaptive integration for Fourier integrals
\7f483063
322 Node: Numerical integration error codes
\7f485688
323 Node: Numerical integration examples
\7f486456
324 Node: Numerical integration References and Further Reading
\7f488501
325 Node: Random Number Generation
\7f489230
326 Node: General comments on random numbers
\7f490732
327 Node: The Random Number Generator Interface
\7f492682
328 Node: Random number generator initialization
\7f494040
329 Node: Sampling from a random number generator
\7f496056
330 Node: Auxiliary random number generator functions
\7f499297
331 Node: Random number environment variables
\7f501617
332 Node: Copying random number generator state
\7f504143
333 Node: Reading and writing random number generator state
\7f505118
334 Node: Random number generator algorithms
\7f506530
335 Node: Unix random number generators
\7f516339
336 Node: Other random number generators
\7f520057
337 Node: Random Number Generator Performance
\7f528690
338 Node: Random Number Generator Examples
\7f530008
339 Node: Random Number References and Further Reading
\7f531564
340 Node: Random Number Acknowledgements
\7f532861
341 Node: Quasi-Random Sequences
\7f533347
342 Node: Quasi-random number generator initialization
\7f534454
343 Node: Sampling from a quasi-random number generator
\7f535469
344 Node: Auxiliary quasi-random number generator functions
\7f536166
345 Node: Saving and resorting quasi-random number generator state
\7f537112
346 Node: Quasi-random number generator algorithms
\7f537920
347 Node: Quasi-random number generator examples
\7f539057
348 Node: Quasi-random number references
\7f540042
349 Node: Random Number Distributions
\7f540568
350 Node: Random Number Distribution Introduction
\7f543767
351 Node: The Gaussian Distribution
\7f545562
352 Node: The Gaussian Tail Distribution
\7f548224
353 Node: The Bivariate Gaussian Distribution
\7f549893
354 Node: The Exponential Distribution
\7f551216
355 Node: The Laplace Distribution
\7f552355
356 Node: The Exponential Power Distribution
\7f553452
357 Node: The Cauchy Distribution
\7f554720
358 Node: The Rayleigh Distribution
\7f555969
359 Node: The Rayleigh Tail Distribution
\7f557141
360 Node: The Landau Distribution
\7f558013
361 Node: The Levy alpha-Stable Distributions
\7f558968
362 Node: The Levy skew alpha-Stable Distribution
\7f560026
363 Node: The Gamma Distribution
\7f561638
364 Node: The Flat (Uniform) Distribution
\7f563295
365 Node: The Lognormal Distribution
\7f564447
366 Node: The Chi-squared Distribution
\7f565795
367 Node: The F-distribution
\7f567199
368 Node: The t-distribution
\7f568835
369 Node: The Beta Distribution
\7f570229
370 Node: The Logistic Distribution
\7f571388
371 Node: The Pareto Distribution
\7f572517
372 Node: Spherical Vector Distributions
\7f573687
373 Node: The Weibull Distribution
\7f576521
374 Node: The Type-1 Gumbel Distribution
\7f577715
375 Node: The Type-2 Gumbel Distribution
\7f578952
376 Node: The Dirichlet Distribution
\7f580183
377 Node: General Discrete Distributions
\7f581851
378 Node: The Poisson Distribution
\7f585716
379 Node: The Bernoulli Distribution
\7f586724
380 Node: The Binomial Distribution
\7f587475
381 Node: The Multinomial Distribution
\7f588680
382 Node: The Negative Binomial Distribution
\7f590449
383 Node: The Pascal Distribution
\7f591814
384 Node: The Geometric Distribution
\7f592972
385 Node: The Hypergeometric Distribution
\7f594220
386 Node: The Logarithmic Distribution
\7f595873
387 Node: Shuffling and Sampling
\7f596664
388 Node: Random Number Distribution Examples
\7f599483
389 Node: Random Number Distribution References and Further Reading
\7f602679
390 Node: Statistics
\7f604745
391 Node: Mean and standard deviation and variance
\7f606040
392 Node: Absolute deviation
\7f609548
393 Node: Higher moments (skewness and kurtosis)
\7f610840
394 Node: Autocorrelation
\7f612973
395 Node: Covariance
\7f613787
396 Node: Correlation
\7f614763
397 Node: Weighted Samples
\7f615472
398 Node: Maximum and Minimum values
\7f621300
399 Node: Median and Percentiles
\7f624039
400 Node: Example statistical programs
\7f626454
401 Node: Statistics References and Further Reading
\7f629115
402 Node: Histograms
\7f630323
403 Node: The histogram struct
\7f632083
404 Node: Histogram allocation
\7f633886
405 Node: Copying Histograms
\7f636847
406 Node: Updating and accessing histogram elements
\7f637523
407 Node: Searching histogram ranges
\7f640790
408 Node: Histogram Statistics
\7f641789
409 Node: Histogram Operations
\7f643649
410 Node: Reading and writing histograms
\7f645721
411 Node: Resampling from histograms
\7f648763
412 Node: The histogram probability distribution struct
\7f649561
413 Node: Example programs for histograms
\7f652592
414 Node: Two dimensional histograms
\7f654655
415 Node: The 2D histogram struct
\7f655376
416 Node: 2D Histogram allocation
\7f657184
417 Node: Copying 2D Histograms
\7f659255
418 Node: Updating and accessing 2D histogram elements
\7f659960
419 Node: Searching 2D histogram ranges
\7f663615
420 Node: 2D Histogram Statistics
\7f664634
421 Node: 2D Histogram Operations
\7f667493
422 Node: Reading and writing 2D histograms
\7f669667
423 Node: Resampling from 2D histograms
\7f673296
424 Node: Example programs for 2D histograms
\7f676315
425 Node: N-tuples
\7f678143
426 Node: The ntuple struct
\7f679399
427 Node: Creating ntuples
\7f679877
428 Node: Opening an existing ntuple file
\7f680544
429 Node: Writing ntuples
\7f681172
430 Node: Reading ntuples
\7f681633
431 Node: Closing an ntuple file
\7f681964
432 Node: Histogramming ntuple values
\7f682304
433 Node: Example ntuple programs
\7f684310
434 Node: Ntuple References and Further Reading
\7f687639
435 Node: Monte Carlo Integration
\7f687960
436 Node: Monte Carlo Interface
\7f689205
437 Node: PLAIN Monte Carlo
\7f691828
440 Node: Monte Carlo Examples
\7f708439
441 Node: Monte Carlo Integration References and Further Reading
\7f714382
442 Node: Simulated Annealing
\7f715164
443 Node: Simulated Annealing algorithm
\7f716371
444 Node: Simulated Annealing functions
\7f717525
445 Node: Examples with Simulated Annealing
\7f722060
446 Node: Trivial example
\7f722614
447 Node: Traveling Salesman Problem
\7f725265
448 Node: Simulated Annealing References and Further Reading
\7f728578
449 Node: Ordinary Differential Equations
\7f728989
450 Node: Defining the ODE System
\7f729810
451 Node: Stepping Functions
\7f732002
452 Node: Adaptive Step-size Control
\7f736347
453 Node: Evolution
\7f741805
454 Node: ODE Example programs
\7f745422
455 Node: ODE References and Further Reading
\7f750661
456 Node: Interpolation
\7f751300
457 Node: Introduction to Interpolation
\7f752313
458 Node: Interpolation Functions
\7f752754
459 Node: Interpolation Types
\7f753961
460 Node: Index Look-up and Acceleration
\7f756571
461 Node: Evaluation of Interpolating Functions
\7f758366
462 Node: Higher-level Interface
\7f760750
463 Node: Interpolation Example programs
\7f762789
464 Node: Interpolation References and Further Reading
\7f766039
465 Node: Numerical Differentiation
\7f766612
466 Node: Numerical Differentiation functions
\7f767201
467 Node: Numerical Differentiation Examples
\7f770059
468 Node: Numerical Differentiation References
\7f771472
469 Node: Chebyshev Approximations
\7f772023
470 Node: Chebyshev Definitions
\7f773039
471 Node: Creation and Calculation of Chebyshev Series
\7f773829
472 Node: Chebyshev Series Evaluation
\7f774801
473 Node: Derivatives and Integrals
\7f776185
474 Node: Chebyshev Approximation examples
\7f777427
475 Node: Chebyshev Approximation References and Further Reading
\7f778923
476 Node: Series Acceleration
\7f779372
477 Node: Acceleration functions
\7f780137
478 Node: Acceleration functions without error estimation
\7f782462
479 Node: Example of accelerating a series
\7f785072
480 Node: Series Acceleration References
\7f787418
481 Node: Wavelet Transforms
\7f788306
482 Node: DWT Definitions
\7f788847
483 Node: DWT Initialization
\7f789799
484 Node: DWT Transform Functions
\7f792378
485 Node: DWT in one dimension
\7f792913
486 Node: DWT in two dimension
\7f794932
487 Node: DWT Examples
\7f799533
488 Node: DWT References
\7f801350
489 Node: Discrete Hankel Transforms
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490 Node: Discrete Hankel Transform Definition
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491 Node: Discrete Hankel Transform Functions
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492 Node: Discrete Hankel Transform References
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493 Node: One dimensional Root-Finding
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494 Node: Root Finding Overview
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495 Node: Root Finding Caveats
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496 Node: Initializing the Solver
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497 Node: Providing the function to solve
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498 Node: Search Bounds and Guesses
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499 Node: Root Finding Iteration
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500 Node: Search Stopping Parameters
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501 Node: Root Bracketing Algorithms
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502 Node: Root Finding Algorithms using Derivatives
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503 Node: Root Finding Examples
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504 Node: Root Finding References and Further Reading
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505 Node: One dimensional Minimization
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506 Node: Minimization Overview
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507 Node: Minimization Caveats
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508 Node: Initializing the Minimizer
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509 Node: Providing the function to minimize
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510 Node: Minimization Iteration
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511 Node: Minimization Stopping Parameters
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512 Node: Minimization Algorithms
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513 Node: Minimization Examples
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514 Node: Minimization References and Further Reading
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515 Node: Multidimensional Root-Finding
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516 Node: Overview of Multidimensional Root Finding
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517 Node: Initializing the Multidimensional Solver
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518 Node: Providing the multidimensional system of equations to solve
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519 Node: Iteration of the multidimensional solver
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520 Node: Search Stopping Parameters for the multidimensional solver
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521 Node: Algorithms using Derivatives
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522 Node: Algorithms without Derivatives
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523 Node: Example programs for Multidimensional Root finding
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524 Node: References and Further Reading for Multidimensional Root Finding
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525 Node: Multidimensional Minimization
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526 Node: Multimin Overview
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527 Node: Multimin Caveats
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528 Node: Initializing the Multidimensional Minimizer
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529 Node: Providing a function to minimize
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530 Node: Multimin Iteration
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531 Node: Multimin Stopping Criteria
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532 Node: Multimin Algorithms
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533 Node: Multimin Examples
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534 Node: Multimin References and Further Reading
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535 Node: Least-Squares Fitting
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536 Node: Fitting Overview
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537 Node: Linear regression
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538 Node: Linear fitting without a constant term
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539 Node: Multi-parameter fitting
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540 Node: Fitting Examples
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541 Node: Fitting References and Further Reading
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542 Node: Nonlinear Least-Squares Fitting
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543 Node: Overview of Nonlinear Least-Squares Fitting
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544 Node: Initializing the Nonlinear Least-Squares Solver
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545 Node: Providing the Function to be Minimized
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546 Node: Iteration of the Minimization Algorithm
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547 Node: Search Stopping Parameters for Minimization Algorithms
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548 Node: Minimization Algorithms using Derivatives
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549 Node: Minimization Algorithms without Derivatives
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550 Node: Computing the covariance matrix of best fit parameters
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551 Node: Example programs for Nonlinear Least-Squares Fitting
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552 Node: References and Further Reading for Nonlinear Least-Squares Fitting
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553 Node: Basis Splines
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554 Node: Overview of B-splines
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555 Node: Initializing the B-splines solver
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556 Node: Constructing the knots vector
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557 Node: Evaluation of B-spline basis functions
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558 Node: Example programs for B-splines
\7f969184
559 Node: References and Further Reading
\7f973189
560 Node: Physical Constants
\7f973703
561 Node: Fundamental Constants
\7f975113
562 Node: Astronomy and Astrophysics
\7f976252
563 Node: Atomic and Nuclear Physics
\7f976917
564 Node: Measurement of Time
\7f978554
565 Node: Imperial Units
\7f978984
566 Node: Speed and Nautical Units
\7f979426
567 Node: Printers Units
\7f979930
568 Node: Volume Area and Length
\7f980253
569 Node: Mass and Weight
\7f980939
570 Node: Thermal Energy and Power
\7f981758
571 Node: Pressure
\7f982181
572 Node: Viscosity
\7f982794
573 Node: Light and Illumination
\7f983070
574 Node: Radioactivity
\7f983662
575 Node: Force and Energy
\7f983997
576 Node: Prefixes
\7f984401
577 Node: Physical Constant Examples
\7f985144
578 Node: Physical Constant References and Further Reading
\7f986933
579 Node: IEEE floating-point arithmetic
\7f987644
580 Node: Representation of floating point numbers
\7f988230
581 Node: Setting up your IEEE environment
\7f992711
582 Node: IEEE References and Further Reading
\7f999703
583 Node: Debugging Numerical Programs
\7f1000858
584 Node: Using gdb
\7f1001342
585 Node: Examining floating point registers
\7f1004685
586 Node: Handling floating point exceptions
\7f1005970
587 Node: GCC warning options for numerical programs
\7f1007382
588 Node: Debugging References
\7f1011575
589 Node: Contributors to GSL
\7f1012287
590 Node: Autoconf Macros
\7f1016522
591 Node: GSL CBLAS Library
\7f1020551
592 Node: Level 1 CBLAS Functions
\7f1021078
593 Node: Level 2 CBLAS Functions
\7f1026380
594 Node: Level 3 CBLAS Functions
\7f1043050
595 Node: GSL CBLAS Examples
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596 Node: Free Software Needs Free Documentation
\7f1054274
597 Node: GNU General Public License
\7f1059343
598 Node: GNU Free Documentation License
\7f1096955
599 Node: Function Index
\7f1119386
600 Node: Variable Index
\7f1360881
601 Node: Type Index
\7f1362053
602 Node: Concept Index
\7f1365699
projects / htsworkflow.git / blob