diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index b29bcfd47..86ab4b66b 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -4,10 +4,11 @@ Chapter 23. Backgrounders - - + + + @@ -50,9 +51,7 @@ -
- - -
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Daubechies Filters
-
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-Math Toolkit 4.1.0

+Math Toolkit 4.1.1

Nikhar Agrawal @@ -133,10 +134,7 @@ This manual is also available in

- - -

Last revised: February 23, 2023 at 18:11:17 GMT

+
Next
diff --git a/doc/html/indexes.html b/doc/html/indexes.html index f3d154153..2b99eff98 100644 --- a/doc/html/indexes.html +++ b/doc/html/indexes.html @@ -4,10 +4,11 @@ Chapter 25. Indexes - - + + + @@ -36,9 +37,7 @@ -
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-Function Index

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1 2 4 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _

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changesign

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    A B C D E F G H I K L M N O P Q R S T U V W

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    A B C D E F G H I K L N P R S T U V W

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    1 2 4 5 7 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z _

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    Chatterjee Correlation

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acknowledgement.html b/doc/html/math_toolkit/acknowledgement.html index 52eaee594..32ec4dd3e 100644 --- a/doc/html/math_toolkit/acknowledgement.html +++ b/doc/html/math_toolkit/acknowledgement.html @@ -4,10 +4,11 @@ Acknowledgements - + + @@ -33,9 +34,7 @@ section. Thank you to all who contributed to the discution about this library.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/acos.html b/doc/html/math_toolkit/acos.html index f813c0b1d..dc9e90dc6 100644 --- a/doc/html/math_toolkit/acos.html +++ b/doc/html/math_toolkit/acos.html @@ -4,10 +4,11 @@ acos - + + @@ -47,9 +48,7 @@ Formula:

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/airy.html b/doc/html/math_toolkit/airy.html index 272a42631..f278a7397 100644 --- a/doc/html/math_toolkit/airy.html +++ b/doc/html/math_toolkit/airy.html @@ -4,10 +4,11 @@ Airy Functions - + + @@ -34,9 +35,7 @@
    Finding Zeros of Airy Functions
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/anderson_darling.html b/doc/html/math_toolkit/anderson_darling.html index f9a66831e..6ee8655a7 100644 --- a/doc/html/math_toolkit/anderson_darling.html +++ b/doc/html/math_toolkit/anderson_darling.html @@ -4,10 +4,11 @@ The Anderson-Darling Test - + + @@ -190,9 +191,7 @@ of the Anderson-Darling test statistic agrees with Mathematica.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/chatterjee_correlation.html b/doc/html/math_toolkit/chatterjee_correlation.html new file mode 100644 index 000000000..b00f73260 --- /dev/null +++ b/doc/html/math_toolkit/chatterjee_correlation.html @@ -0,0 +1,132 @@ + + + +Chatterjee Correlation + + + + + + + + + + + + + + + + +
    Boost C++ LibrariesHomeLibrariesPeopleFAQMore
    +
    +
    +PrevUpHomeNext +
    +
    + +

    + + Synopsis +

    +
    #include <boost/math/statistics/chatterjee_correlation.hpp>
    +
    +namespace boost::math::statistics {
    +
    +    C++17:
    +    template <typename ExecutionPolicy, typename Container>
    +    auto chatterjee_correlation(ExecutionPolicy&& exec, const Container& u, const Container& v);
    +
    +    C++11:
    +    template <typename Container>
    +    auto chatterjee_correlation(const Container& u, const Container& v);
    +}
    +
    +

    + + Description +

    +

    + The classical correlation coefficients like the Pearson's correlation are useful + primarily for distinguishing when one dataset depends linearly on another. + However, Pearson's correlation coefficient has a known weakness in that when + the dependent variable has an obvious functional relationship with the independent + variable, the value of the correlation coefficient can take on any value. As + Chatterjee says: +

    +

    + > Ideally, one would like a coefficient that approaches its maximum value + if and only if one variable looks more and more like a noiseless function of + the other, just as Pearson correlation is close to its maximum value if and + only if one variable is close to being a noiseless linear function of the other. +

    +

    + This is the problem Chatterjee's coefficient solves. Let X and Y be random + variables, where Y is not constant, and let (X_i, Y_i) be samples from this + distribution. Rearrange these samples so that X_(0) < X_{(1)} < ... X_{(n-1)} + and create (R(X_{(i)}), R(Y_{(i)})). The Chatterjee correlation is then given + by +

    +

    + +

    +

    + In the limit of an infinite amount of i.i.d data, the statistic lies in [0, + 1]. However, if the data is not infinite, the statistic may be negative. If + X and Y are independent, the value is zero, and if Y is a measurable function + of X, then the statistic is unity. The complexity is O(n log n). +

    +

    + An example is given below: +

    +
    std::vector<double> X{1,2,3,4,5};
    +std::vector<double> Y{1,2,3,4,5};
    +using boost::math::statistics::chatterjee_correlation;
    +double coeff = chatterjee_correlation(X, Y);
    +
    +

    + The implementation follows Chatterjee's + paper. +

    +

    + Nota bene: If the input is an integer type the output + will be a double precision type. +

    +

    + + Invariants +

    +

    + The function expects at least two samples, a non-constant vector Y, and the + same number of X's as Y's. If Y is constant, the result is a quiet NaN. The + data set must be sorted by X values. If there are ties in the values of X, + then the statistic is random due to the random breaking of ties. Of course, + random numbers are not used internally, but the result is not guaranteed to + be identical on different systems. +

    +

    + + References +

    +
    • + Chatterjee, Sourav. "A new coefficient of correlation." Journal + of the American Statistical Association 116.536 (2021): 2009-2022. +
    +
    + +
    +
    +PrevUpHomeNext +
    + + diff --git a/doc/html/math_toolkit/comp_compilers.html b/doc/html/math_toolkit/comp_compilers.html index e33a1aa75..703c20936 100644 --- a/doc/html/math_toolkit/comp_compilers.html +++ b/doc/html/math_toolkit/comp_compilers.html @@ -4,10 +4,11 @@ Comparing Different Compilers - + + @@ -3192,9 +3193,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/comparisons.html b/doc/html/math_toolkit/comparisons.html index 9f52bfddc..403cf326e 100644 --- a/doc/html/math_toolkit/comparisons.html +++ b/doc/html/math_toolkit/comparisons.html @@ -4,10 +4,11 @@ Comparisons to Other Open Source Libraries - + + @@ -4718,9 +4719,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/compilers_overview.html b/doc/html/math_toolkit/compilers_overview.html index 92984b75b..72a0a507f 100644 --- a/doc/html/math_toolkit/compilers_overview.html +++ b/doc/html/math_toolkit/compilers_overview.html @@ -4,10 +4,11 @@ Compilers - + + @@ -664,9 +665,7 @@ acceptable or not.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/complex_history.html b/doc/html/math_toolkit/complex_history.html index a8a2a30c8..c2518faa2 100644 --- a/doc/html/math_toolkit/complex_history.html +++ b/doc/html/math_toolkit/complex_history.html @@ -4,10 +4,11 @@ History - + + @@ -35,9 +36,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/complex_implementation.html b/doc/html/math_toolkit/complex_implementation.html index 98ee347ff..b5573b7d1 100644 --- a/doc/html/math_toolkit/complex_implementation.html +++ b/doc/html/math_toolkit/complex_implementation.html @@ -4,10 +4,11 @@ Implementation and Accuracy - + + @@ -44,9 +45,7 @@ paper for more information on the implementation methodology.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cond.html b/doc/html/math_toolkit/cond.html index 8b3a9fd1a..95329b7ff 100644 --- a/doc/html/math_toolkit/cond.html +++ b/doc/html/math_toolkit/cond.html @@ -4,10 +4,11 @@ Condition Numbers - + + @@ -166,9 +167,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/config_macros.html b/doc/html/math_toolkit/config_macros.html index 4a3bb6cd4..7681b650c 100644 --- a/doc/html/math_toolkit/config_macros.html +++ b/doc/html/math_toolkit/config_macros.html @@ -4,10 +4,11 @@ Configuration Macros - + + @@ -364,9 +365,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants.html b/doc/html/math_toolkit/constants.html index be6e72dfa..e3b72df28 100644 --- a/doc/html/math_toolkit/constants.html +++ b/doc/html/math_toolkit/constants.html @@ -4,10 +4,11 @@ The Mathematical Constants - + + @@ -1755,9 +1756,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants_faq.html b/doc/html/math_toolkit/constants_faq.html index ac9f30e60..2ef446724 100644 --- a/doc/html/math_toolkit/constants_faq.html +++ b/doc/html/math_toolkit/constants_faq.html @@ -4,10 +4,11 @@ Math Constants FAQs - + + @@ -451,9 +452,7 @@ Some physical constants may be available in Boost.Units.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/constants_intro.html b/doc/html/math_toolkit/constants_intro.html index 8a41a50a5..ee4060f28 100644 --- a/doc/html/math_toolkit/constants_intro.html +++ b/doc/html/math_toolkit/constants_intro.html @@ -4,10 +4,11 @@ Introduction - + + @@ -120,9 +121,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/contact.html b/doc/html/math_toolkit/contact.html index e5f03273a..31abd5e87 100644 --- a/doc/html/math_toolkit/contact.html +++ b/doc/html/math_toolkit/contact.html @@ -4,10 +4,11 @@ Contact Info and Support - + + @@ -54,9 +55,7 @@ at - hetp.u-net.com.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/conventions.html b/doc/html/math_toolkit/conventions.html index 294692313..fd89586f0 100644 --- a/doc/html/math_toolkit/conventions.html +++ b/doc/html/math_toolkit/conventions.html @@ -4,10 +4,11 @@ Document Conventions - + + @@ -27,7 +28,7 @@ Document Conventions

    - +

    This documentation aims to use of the following naming and formatting conventions. @@ -68,9 +69,7 @@ -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/create.html b/doc/html/math_toolkit/create.html index 3090c4e16..6a951137f 100644 --- a/doc/html/math_toolkit/create.html +++ b/doc/html/math_toolkit/create.html @@ -4,10 +4,11 @@ Quaternion Creation Functions - + + @@ -102,9 +103,7 @@ test file).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/credits.html b/doc/html/math_toolkit/credits.html index f33f50643..7070d31ab 100644 --- a/doc/html/math_toolkit/credits.html +++ b/doc/html/math_toolkit/credits.html @@ -4,10 +4,11 @@ Credits and Acknowledgements - + + @@ -189,9 +190,7 @@ in Boost.Math.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cubic_hermite.html b/doc/html/math_toolkit/cubic_hermite.html index ff2bcfeab..1e4da4d42 100644 --- a/doc/html/math_toolkit/cubic_hermite.html +++ b/doc/html/math_toolkit/cubic_hermite.html @@ -4,10 +4,11 @@ Cubic Hermite interpolation - + + @@ -244,9 +245,7 @@ the problem size gets larger.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/cubic_roots.html b/doc/html/math_toolkit/cubic_roots.html index 38e8ced84..8de9fddc7 100644 --- a/doc/html/math_toolkit/cubic_roots.html +++ b/doc/html/math_toolkit/cubic_roots.html @@ -4,10 +4,11 @@ Roots of Cubic Polynomials - + + @@ -140,9 +141,7 @@ The residual is -1.56586e-14, and the expected residual is 4.64155e-14. This is estimate.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/daubechies.html b/doc/html/math_toolkit/daubechies.html index 79dae5c61..d10e5be21 100644 --- a/doc/html/math_toolkit/daubechies.html +++ b/doc/html/math_toolkit/daubechies.html @@ -4,10 +4,11 @@ Daubechies Wavelets and Scaling Functions - + + @@ -183,6 +184,54 @@ The 8 vanishing moment scaling function.

    +

    + Boost.Math also provides numerical evaluation of the Fourier transform of these + functions. This is useful in sparse recovery problems where the measurements + are taken in the Fourier basis. The usage is exhibited below: +

    +
    #include <boost/math/special_functions/fourier_transform_daubechies_scaling.hpp>
    +using boost::math::fourier_transform_daubechies_scaling;
    +// Evaluate the Fourier transform of the 4-vanishing moment Daubechies scaling function at ω=1.8:
    +std::complex<float> hat_phi = fourier_transform_daubechies_scaling<float, 4>(1.8f);
    +
    +

    + The Fourier transform convention is unitary with the sign of the imaginary + unit being given in Daubechies Ten Lectures. In particular, this means that + fourier_transform_daubechies_scaling<float, + p>(0.0) returns + 1/sqrt(2π). +

    +

    + The implementation computes an infinite product of trigonometric polynomials + as can be found from recursive application of the identity 𝓕[φ](ω) = m(ω/2)𝓕[φ](ω/2). + This is neither particularly fast nor accurate, but there appears to be no + literature on this extremely useful topic, and hence the naive method must + suffice. +

    +

    + +

    +

    + A benchmark can be found in reporting/performance/fourier_transform_daubechies_performance.cpp; the + results on a ~2021 M1 Macbook pro are presented below: +

    +

    + Run on (10 X 24.1212 MHz CPU s) CPU Caches: L1 Data 64 KiB (x10) L1 Instruction + 128 KiB (x10) L2 Unified 4096 KiB (x5) Load Average: 1.33, 1.52, 1.62 ----------------------------------------------------------- + Benchmark Time ----------------------------------------------------------- + FourierTransformDaubechiesScaling<double, 1> 70.3 ns FourierTransformDaubechiesScaling<double, + 2> 330 ns FourierTransformDaubechiesScaling<double, 3> 335 ns FourierTransformDaubechiesScaling<double, + 4> 364 ns FourierTransformDaubechiesScaling<double, 5> 386 ns FourierTransformDaubechiesScaling<double, + 6> 436 ns FourierTransformDaubechiesScaling<double, 7> 447 ns FourierTransformDaubechiesScaling<double, + 8> 473 ns FourierTransformDaubechiesScaling<double, 9> 503 ns FourierTransformDaubechiesScaling<double, + 10> 554 ns +

    +

    + Due to the low accuracy of this method, float + precision is arg-promoted to double, + and hence takes just as long as double + precision to execute. +

    References @@ -202,9 +251,7 @@ -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/daubechies_filters.html b/doc/html/math_toolkit/daubechies_filters.html index 5fe91b291..9d9db53f0 100644 --- a/doc/html/math_toolkit/daubechies_filters.html +++ b/doc/html/math_toolkit/daubechies_filters.html @@ -4,10 +4,11 @@ Daubechies Filters - + + @@ -179,9 +180,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/diff.html b/doc/html/math_toolkit/diff.html index 9114719d4..4834ca13e 100644 --- a/doc/html/math_toolkit/diff.html +++ b/doc/html/math_toolkit/diff.html @@ -4,10 +4,11 @@ Numerical Differentiation - + + @@ -346,9 +347,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/diff0.html b/doc/html/math_toolkit/diff0.html index f02ab05b6..5981deadd 100644 --- a/doc/html/math_toolkit/diff0.html +++ b/doc/html/math_toolkit/diff0.html @@ -4,10 +4,11 @@ Lanczos Smoothing Derivatives - + + @@ -230,9 +231,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/directories.html b/doc/html/math_toolkit/directories.html index d4910cdcd..856c9a4f9 100644 --- a/doc/html/math_toolkit/directories.html +++ b/doc/html/math_toolkit/directories.html @@ -4,10 +4,11 @@ Directory and File Structure - + + @@ -109,9 +110,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_concept.html b/doc/html/math_toolkit/dist_concept.html index 082ba61f6..1afc3dba1 100644 --- a/doc/html/math_toolkit/dist_concept.html +++ b/doc/html/math_toolkit/dist_concept.html @@ -4,10 +4,11 @@ Conceptual Requirements for Distribution Types - + + @@ -378,9 +379,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref.html b/doc/html/math_toolkit/dist_ref.html index 6cc2dfa20..361c091bd 100644 --- a/doc/html/math_toolkit/dist_ref.html +++ b/doc/html/math_toolkit/dist_ref.html @@ -4,10 +4,11 @@ Statistical Distributions Reference - + + @@ -94,9 +95,7 @@
    Distribution Algorithms
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dist_algorithms.html b/doc/html/math_toolkit/dist_ref/dist_algorithms.html index 70c9c5439..85ffa58e0 100644 --- a/doc/html/math_toolkit/dist_ref/dist_algorithms.html +++ b/doc/html/math_toolkit/dist_ref/dist_algorithms.html @@ -4,10 +4,11 @@ Distribution Algorithms - + + @@ -117,9 +118,7 @@ of normally distributed weights to meet a specification.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists.html b/doc/html/math_toolkit/dist_ref/dists.html index 97f8c0038..19f1293c0 100644 --- a/doc/html/math_toolkit/dist_ref/dists.html +++ b/doc/html/math_toolkit/dist_ref/dists.html @@ -4,10 +4,11 @@ Distributions - + + @@ -89,9 +90,7 @@
    Weibull Distribution
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html index 1b1164258..e9e5ac39e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/arcine_dist.html @@ -4,10 +4,11 @@ Arcsine Distribution - + + @@ -628,9 +629,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html index 463924e7b..bc96ba061 100644 --- a/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/bernoulli_dist.html @@ -4,10 +4,11 @@ Bernoulli Distribution - + + @@ -348,9 +349,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html index b1318a5c0..070ab2dfe 100644 --- a/doc/html/math_toolkit/dist_ref/dists/beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/beta_dist.html @@ -4,10 +4,11 @@ Beta Distribution - + + @@ -601,9 +602,7 @@ from presumed-known mean and variance. MathWorld

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html index 7e4ee2687..ecb7a346b 100644 --- a/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/binomial_dist.html @@ -4,10 +4,11 @@ Binomial Distribution - + + @@ -696,7 +697,7 @@

    Using the relation:

    -
    p = I[sub 1-p](n - k, k + 1)
    +
    p = I[sub 1-p](n - k, k + 1)
       = 1 - I[sub p](k + 1, n - k)
       = ibetac(k + 1, n - k, p)

    @@ -885,9 +886,7 @@ -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html index 0ca26933c..a34aacd90 100644 --- a/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/cauchy_dist.html @@ -4,10 +4,11 @@ Cauchy-Lorentz Distribution - + + @@ -291,9 +292,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html index f7391bf48..1d1517798 100644 --- a/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/chi_squared_dist.html @@ -4,10 +4,11 @@ Chi Squared Distribution - + + @@ -394,9 +395,7 @@ independent, normally distributed random -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html index e8ff267e3..1c13570e9 100644 --- a/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html +++ b/doc/html/math_toolkit/dist_ref/dists/empirical_cdf.html @@ -4,10 +4,11 @@ Empirical Cumulative Distribution Function - + + @@ -185,9 +186,7 @@ is itself a fairly expensive operation.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html index bfaa7c65b..c9b9801ba 100644 --- a/doc/html/math_toolkit/dist_ref/dists/exp_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/exp_dist.html @@ -4,10 +4,11 @@ Exponential Distribution - + + @@ -305,15 +306,13 @@ Distributions.)

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html index 261413c36..721c625af 100644 --- a/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/extreme_dist.html @@ -4,10 +4,11 @@ Extreme Value Distribution - + + @@ -65,7 +66,7 @@

    The relationship of the types of extreme value distributions, of which - this is but one, is discussed by Extreme + this is but one, is discussed by Extreme Value Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah.

    @@ -314,9 +315,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/f_dist.html b/doc/html/math_toolkit/dist_ref/dists/f_dist.html index 483643351..a87390992 100644 --- a/doc/html/math_toolkit/dist_ref/dists/f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/f_dist.html @@ -4,10 +4,11 @@ F Distribution - + + @@ -418,9 +419,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html index 28809f24d..803fc5d1c 100644 --- a/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/gamma_dist.html @@ -4,10 +4,11 @@ Gamma (and Erlang) Distribution - + + @@ -349,9 +350,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html index 55d87e4b0..7326c0523 100644 --- a/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/geometric_dist.html @@ -4,10 +4,11 @@ Geometric Distribution - + + @@ -826,9 +827,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html index edf29cb62..687f2b52f 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hyperexponential_dist.html @@ -4,10 +4,11 @@ Hyperexponential Distribution - + + @@ -1452,9 +1453,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html index 096abe2e9..778333ea5 100644 --- a/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/hypergeometric_dist.html @@ -4,10 +4,11 @@ Hypergeometric Distribution - + + @@ -41,11 +42,11 @@ typedefRealTypevalue_type;typedefPolicypolicy_type;// Construct: - hypergeometric_distribution(unsignedr,unsignedn,unsignedN);// r=defective/failures/success, n=trials/draws, N=total population. + hypergeometric_distribution(uint64_tr,uint64_tn,uint64_tN);// r=defective/failures/success, n=trials/draws, N=total population.// Accessors: - unsignedtotal()const; - unsigneddefective()const; - unsignedsample_count()const; + uint64_ttotal()const; + uint64_tdefective()const; + uint64_tsample_count()const;};typedefhypergeometric_distribution<>hypergeometric; @@ -104,25 +105,25 @@ Member Functions -
    hypergeometric_distribution(unsigned r, unsigned n, unsigned N);
    +
    hypergeometric_distribution(uint64_t r, uint64_t n, uint64_t N);
     

    Constructs a hypergeometric distribution with a population of N objects, of which r are defective, and from which n are sampled.

    -
    unsigned total()const;
    +
    uint64_t total()const;
     

    Returns the total number of objects N.

    -
    unsigned defective()const;
    +
    uint64_t defective()const;
     

    Returns the number of objects r in population N which are defective.

    -
    unsigned sample_count()const;
    +
    uint64_t sample_count()const;
     

    Returns the number of objects n which are sampled @@ -158,8 +159,8 @@ range and support.

    - The domain of the random variable is the unsigned integers in the range - [max(0, n + r - N), min(n, r)]. A domain_error + The domain of the random variable are the 64-bit unsigned integers in the + range [max(0, n + r - N), min(n, r)]. A domain_error is raised if the random variable is outside this range, or is not an integral value.

    @@ -343,9 +344,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html index 0faeea9f1..c11f3ffef 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_chi_squared_dist.html @@ -4,10 +4,11 @@ Inverse Chi Squared Distribution - + + @@ -456,9 +457,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html index 027d8eb42..aaa37929a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gamma_dist.html @@ -4,10 +4,11 @@ Inverse Gamma Distribution - + + @@ -350,9 +351,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html index 1d62ee2d9..5437b52eb 100644 --- a/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/inverse_gaussian_dist.html @@ -4,10 +4,11 @@ Inverse Gaussian (or Inverse Normal) Distribution - + + @@ -429,9 +430,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html b/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html index e12cd3407..e7763e2b3 100644 --- a/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/kolmogorov_smirnov_dist.html @@ -4,10 +4,11 @@ Kolmogorov-Smirnov Distribution - + + @@ -333,9 +334,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html index 81f576e63..8516ec0a8 100644 --- a/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/laplace_dist.html @@ -4,10 +4,11 @@ Laplace Distribution - + + @@ -343,9 +344,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html index 3d4950e55..1588cd6d8 100644 --- a/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/logistic_dist.html @@ -4,10 +4,11 @@ Logistic Distribution - + + @@ -280,9 +281,7 @@ as special cases if RealType permits.
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html index 965b79392..acf05886d 100644 --- a/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/lognormal_dist.html @@ -4,10 +4,11 @@ Log Normal Distribution - + + @@ -314,9 +315,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html index 83b04ff56..4de21e898 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_beta_dist.html @@ -4,10 +4,11 @@ Noncentral Beta Distribution - + + @@ -476,9 +477,7 @@ is a central χ2 warranted).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html index 234b860b4..3ed83da0e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_chi_squared_dist.html @@ -4,10 +4,11 @@ Noncentral Chi-Squared Distribution - + + @@ -561,9 +562,7 @@ 141 (2003) 3-12.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html index df8b45232..df0d0c664 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_f_dist.html @@ -4,10 +4,11 @@ Noncentral F Distribution - + + @@ -401,9 +402,7 @@ is the non-centrality parameter, x is the 141 (2003) 3-12.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html index 1bff26bef..44b4b862a 100644 --- a/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/nc_t_dist.html @@ -4,10 +4,11 @@ Noncentral T Distribution - + + @@ -557,9 +558,7 @@ when the normal distribution 141 (2003) 3-12.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html index ad48034c9..5f586c362 100644 --- a/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/negative_binomial_dist.html @@ -4,10 +4,11 @@ Negative Binomial Distribution - + + @@ -867,9 +868,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html index 55664eee2..6cb6a3c9e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/normal_dist.html @@ -4,10 +4,11 @@ Normal (Gaussian) Distribution - + + @@ -310,9 +311,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/pareto.html b/doc/html/math_toolkit/dist_ref/dists/pareto.html index be5d2ca31..943f0790e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/pareto.html +++ b/doc/html/math_toolkit/dist_ref/dists/pareto.html @@ -4,10 +4,11 @@ Pareto Distribution - + + @@ -333,9 +334,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html index 93c91b180..bbed802bd 100644 --- a/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/poisson_dist.html @@ -4,10 +4,11 @@ Poisson Distribution - + + @@ -313,9 +314,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html index c216a2480..cbd8b887c 100644 --- a/doc/html/math_toolkit/dist_ref/dists/rayleigh.html +++ b/doc/html/math_toolkit/dist_ref/dists/rayleigh.html @@ -4,10 +4,11 @@ Rayleigh Distribution - + + @@ -331,9 +332,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html index 3f807e240..dbdebadfd 100644 --- a/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/skew_normal_dist.html @@ -4,10 +4,11 @@ Skew Normal Distribution - + + @@ -505,9 +506,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html index af1b79b6a..68024ac33 100644 --- a/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/students_t_dist.html @@ -4,10 +4,11 @@ Students t Distribution - + + @@ -425,9 +426,7 @@ also https://svn.boost.org/trac/boost/ticket/7177.)

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html index 8c9da8079..c0a44ae2e 100644 --- a/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/triangular_dist.html @@ -4,10 +4,11 @@ Triangular Distribution - + + @@ -64,9 +65,8 @@ vaguely known, but, like the uniform distribution, upper and limits are 'known', but a 'best guess', the mode or center point, is also added. It has been recommended as a - proxy - for the beta distribution. The distribution is used in business - decision making and project planning. + proxy for the beta distribution. + The distribution is used in business decision making and project planning.

    The triangular @@ -426,9 +426,7 @@ -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html index c53383617..fc94bafa2 100644 --- a/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/uniform_dist.html @@ -4,10 +4,11 @@ Uniform Distribution - + + @@ -348,9 +349,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html index f94d0800b..6852e6850 100644 --- a/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html +++ b/doc/html/math_toolkit/dist_ref/dists/weibull_dist.html @@ -4,10 +4,11 @@ Weibull Distribution - + + @@ -108,7 +109,7 @@ distribution. When α = 1, the Weibull distribution reduces to the exponential distribution. The relationship of the types of extreme value distributions, - of which the Weibull is but one, is discussed by Extreme + of which the Weibull is but one, is discussed by Extreme Value Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah.

    @@ -355,9 +356,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/dist_ref/nmp.html b/doc/html/math_toolkit/dist_ref/nmp.html index 891730964..b657f5fcf 100644 --- a/doc/html/math_toolkit/dist_ref/nmp.html +++ b/doc/html/math_toolkit/dist_ref/nmp.html @@ -4,10 +4,11 @@ Non-Member Properties - + + @@ -714,9 +715,7 @@ the entropy of continuous probability distributions for more information.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential.html b/doc/html/math_toolkit/double_exponential.html index b3bb681ee..0267217e4 100644 --- a/doc/html/math_toolkit/double_exponential.html +++ b/doc/html/math_toolkit/double_exponential.html @@ -4,10 +4,11 @@ Double-exponential quadrature - + + @@ -42,9 +43,7 @@
    References
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_caveats.html b/doc/html/math_toolkit/double_exponential/de_caveats.html index 7f6078890..3f9449409 100644 --- a/doc/html/math_toolkit/double_exponential/de_caveats.html +++ b/doc/html/math_toolkit/double_exponential/de_caveats.html @@ -4,10 +4,11 @@ Caveats - + + @@ -169,9 +170,7 @@ classes.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html index de457bb33..bb4e89c84 100644 --- a/doc/html/math_toolkit/double_exponential/de_exp_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_exp_sinh.html @@ -4,10 +4,11 @@ exp_sinh - + + @@ -99,9 +100,7 @@ as the result (a NaN).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_levels.html b/doc/html/math_toolkit/double_exponential/de_levels.html index 0c34b057f..b7c7a7590 100644 --- a/doc/html/math_toolkit/double_exponential/de_levels.html +++ b/doc/html/math_toolkit/double_exponential/de_levels.html @@ -4,10 +4,11 @@ Setting the Maximum Interval Halvings and Memory Requirements - + + @@ -60,9 +61,7 @@ can quickly grow out of control.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_overview.html b/doc/html/math_toolkit/double_exponential/de_overview.html index 241ac8df5..deab5bc41 100644 --- a/doc/html/math_toolkit/double_exponential/de_overview.html +++ b/doc/html/math_toolkit/double_exponential/de_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -213,9 +214,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_refes.html b/doc/html/math_toolkit/double_exponential/de_refes.html index fc1b43114..154ea5068 100644 --- a/doc/html/math_toolkit/double_exponential/de_refes.html +++ b/doc/html/math_toolkit/double_exponential/de_refes.html @@ -4,10 +4,11 @@ References - + + @@ -48,9 +49,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html index 932ec739d..a8a417380 100644 --- a/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_sinh_sinh.html @@ -4,10 +4,11 @@ sinh_sinh - + + @@ -77,9 +78,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html index 6dfd85086..1a69e60fd 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh.html @@ -4,10 +4,11 @@ tanh_sinh - + + @@ -522,9 +523,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html index f5afef0cd..aaba47eca 100644 --- a/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html +++ b/doc/html/math_toolkit/double_exponential/de_tanh_sinh_2_arg.html @@ -4,10 +4,11 @@ Handling functions with large features near an endpoint with tanh-sinh quadrature - + + @@ -84,9 +85,7 @@ to the result faster as well.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_thread.html b/doc/html/math_toolkit/double_exponential/de_thread.html index 772e20e92..1bc0a9a82 100644 --- a/doc/html/math_toolkit/double_exponential/de_thread.html +++ b/doc/html/math_toolkit/double_exponential/de_thread.html @@ -4,10 +4,11 @@ Thread Safety - + + @@ -47,9 +48,7 @@ and means that integrators for these types are relatively cheap to construct.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/double_exponential/de_tol.html b/doc/html/math_toolkit/double_exponential/de_tol.html index 66d19b1b8..63ba20b15 100644 --- a/doc/html/math_toolkit/double_exponential/de_tol.html +++ b/doc/html/math_toolkit/double_exponential/de_tol.html @@ -4,10 +4,11 @@ Setting the Termination Condition for Integration - + + @@ -57,9 +58,7 @@ scheme.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint.html b/doc/html/math_toolkit/ellint.html index 6a43e16b7..a44239f1d 100644 --- a/doc/html/math_toolkit/ellint.html +++ b/doc/html/math_toolkit/ellint.html @@ -4,10 +4,11 @@ Elliptic Integrals - + + @@ -42,9 +43,7 @@
    Heuman Lambda Function
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_1.html b/doc/html/math_toolkit/ellint/ellint_1.html index 206b27b35..125f29580 100644 --- a/doc/html/math_toolkit/ellint/ellint_1.html +++ b/doc/html/math_toolkit/ellint/ellint_1.html @@ -4,10 +4,11 @@ Elliptic Integrals of the First Kind - Legendre Form - + + @@ -275,9 +276,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_2.html b/doc/html/math_toolkit/ellint/ellint_2.html index 21ee4204b..f405abf1f 100644 --- a/doc/html/math_toolkit/ellint/ellint_2.html +++ b/doc/html/math_toolkit/ellint/ellint_2.html @@ -4,10 +4,11 @@ Elliptic Integrals of the Second Kind - Legendre Form - + + @@ -304,9 +305,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_3.html b/doc/html/math_toolkit/ellint/ellint_3.html index 94d56593a..0fbd278c5 100644 --- a/doc/html/math_toolkit/ellint/ellint_3.html +++ b/doc/html/math_toolkit/ellint/ellint_3.html @@ -4,10 +4,11 @@ Elliptic Integrals of the Third Kind - Legendre Form - + + @@ -343,9 +344,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_carlson.html b/doc/html/math_toolkit/ellint/ellint_carlson.html index 6c7b421e1..fd1027eb7 100644 --- a/doc/html/math_toolkit/ellint/ellint_carlson.html +++ b/doc/html/math_toolkit/ellint/ellint_carlson.html @@ -4,10 +4,11 @@ Elliptic Integrals - Carlson Form - + + @@ -981,9 +982,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_d.html b/doc/html/math_toolkit/ellint/ellint_d.html index 1a9a36e6d..440e0620e 100644 --- a/doc/html/math_toolkit/ellint/ellint_d.html +++ b/doc/html/math_toolkit/ellint/ellint_d.html @@ -4,10 +4,11 @@ Elliptic Integral D - Legendre Form - + + @@ -362,9 +363,7 @@ using

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/ellint_intro.html b/doc/html/math_toolkit/ellint/ellint_intro.html index 21ae73444..bb51386e6 100644 --- a/doc/html/math_toolkit/ellint/ellint_intro.html +++ b/doc/html/math_toolkit/ellint/ellint_intro.html @@ -4,10 +4,11 @@ Elliptic Integral Overview - + + @@ -482,9 +483,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/heuman_lambda.html b/doc/html/math_toolkit/ellint/heuman_lambda.html index 546419f33..23bc06cb8 100644 --- a/doc/html/math_toolkit/ellint/heuman_lambda.html +++ b/doc/html/math_toolkit/ellint/heuman_lambda.html @@ -4,10 +4,11 @@ Heuman Lambda Function - + + @@ -205,9 +206,7 @@ using definition in terms of the Jacobi Zeta is used.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ellint/jacobi_zeta.html b/doc/html/math_toolkit/ellint/jacobi_zeta.html index ec42bd908..6fe850a2f 100644 --- a/doc/html/math_toolkit/ellint/jacobi_zeta.html +++ b/doc/html/math_toolkit/ellint/jacobi_zeta.html @@ -4,10 +4,11 @@ Jacobi Zeta Function - + + @@ -260,9 +261,7 @@ using the is jacobi_zeta_example.cpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/error_handling.html b/doc/html/math_toolkit/error_handling.html index 820707128..66bca356c 100644 --- a/doc/html/math_toolkit/error_handling.html +++ b/doc/html/math_toolkit/error_handling.html @@ -4,10 +4,11 @@ Error Handling - + + @@ -1103,9 +1104,7 @@ or denormalisation.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/estrin.html b/doc/html/math_toolkit/estrin.html index 2edc45645..d3335ec70 100644 --- a/doc/html/math_toolkit/estrin.html +++ b/doc/html/math_toolkit/estrin.html @@ -4,10 +4,11 @@ Estrin's method for polynomial evaluation - + + @@ -84,9 +85,7 @@ (2nd ed.). Birkhäuser. p. 58. ISBN 0-8176-4372-9. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/exact_typdefs.html b/doc/html/math_toolkit/exact_typdefs.html index 1ef25f2b1..afa109855 100644 --- a/doc/html/math_toolkit/exact_typdefs.html +++ b/doc/html/math_toolkit/exact_typdefs.html @@ -4,10 +4,11 @@ Exact-Width Floating-Point typedefs - + + @@ -156,9 +157,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/examples.html b/doc/html/math_toolkit/examples.html index 71402a15d..9406fb7e6 100644 --- a/doc/html/math_toolkit/examples.html +++ b/doc/html/math_toolkit/examples.html @@ -4,10 +4,11 @@ Examples - + + @@ -121,9 +122,7 @@ normal_table<boost::floatmax_t>(); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/exp.html b/doc/html/math_toolkit/exp.html index 2a50dbb74..56bd1b36c 100644 --- a/doc/html/math_toolkit/exp.html +++ b/doc/html/math_toolkit/exp.html @@ -4,10 +4,11 @@ The Quaternionic Exponential - + + @@ -39,9 +40,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/expint.html b/doc/html/math_toolkit/expint.html index af6bb1d1e..3929fd1e7 100644 --- a/doc/html/math_toolkit/expint.html +++ b/doc/html/math_toolkit/expint.html @@ -4,10 +4,11 @@ Exponential Integrals - + + @@ -31,9 +32,7 @@
    Exponential Integral Ei
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/expint/expint_i.html b/doc/html/math_toolkit/expint/expint_i.html index afb5cf119..3809ad459 100644 --- a/doc/html/math_toolkit/expint/expint_i.html +++ b/doc/html/math_toolkit/expint/expint_i.html @@ -4,10 +4,11 @@ Exponential Integral Ei - + + @@ -319,9 +320,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/expint/expint_n.html b/doc/html/math_toolkit/expint/expint_n.html index 7d5bb79ae..2eb75a665 100644 --- a/doc/html/math_toolkit/expint/expint_n.html +++ b/doc/html/math_toolkit/expint/expint_n.html @@ -4,10 +4,11 @@ Exponential Integral En - + + @@ -271,9 +272,7 @@ is used.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials.html b/doc/html/math_toolkit/factorials.html index ff91a8e37..cf21a2a14 100644 --- a/doc/html/math_toolkit/factorials.html +++ b/doc/html/math_toolkit/factorials.html @@ -4,10 +4,11 @@ Factorials and Binomial Coefficients - + + @@ -35,9 +36,7 @@
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_binomial.html b/doc/html/math_toolkit/factorials/sf_binomial.html index b6fd92486..bd9520139 100644 --- a/doc/html/math_toolkit/factorials/sf_binomial.html +++ b/doc/html/math_toolkit/factorials/sf_binomial.html @@ -4,10 +4,11 @@ Binomial Coefficients - + + @@ -127,9 +128,7 @@ n-k))

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_double_factorial.html b/doc/html/math_toolkit/factorials/sf_double_factorial.html index 3657e24a3..e5daf15ee 100644 --- a/doc/html/math_toolkit/factorials/sf_double_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_double_factorial.html @@ -4,10 +4,11 @@ Double Factorial - + + @@ -143,9 +144,7 @@ (2n-1)!! = Γ((2n+1)/2) * 2n / sqrt(pi)

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_factorial.html b/doc/html/math_toolkit/factorials/sf_factorial.html index e557c627a..3ad5a8952 100644 --- a/doc/html/math_toolkit/factorials/sf_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_factorial.html @@ -4,10 +4,11 @@ Factorial - + + @@ -178,9 +179,7 @@ larger arguments.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_falling_factorial.html b/doc/html/math_toolkit/factorials/sf_falling_factorial.html index c11ee4af8..530a204bf 100644 --- a/doc/html/math_toolkit/factorials/sf_falling_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_falling_factorial.html @@ -4,10 +4,11 @@ Falling Factorial - + + @@ -91,9 +92,7 @@ function.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/factorials/sf_rising_factorial.html b/doc/html/math_toolkit/factorials/sf_rising_factorial.html index 6eb050bc6..e96a7de15 100644 --- a/doc/html/math_toolkit/factorials/sf_rising_factorial.html +++ b/doc/html/math_toolkit/factorials/sf_rising_factorial.html @@ -4,10 +4,11 @@ Rising Factorial - + + @@ -96,9 +97,7 @@ function.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fastest_typdefs.html b/doc/html/math_toolkit/fastest_typdefs.html index 2c9ef34cc..121262fbb 100644 --- a/doc/html/math_toolkit/fastest_typdefs.html +++ b/doc/html/math_toolkit/fastest_typdefs.html @@ -4,10 +4,11 @@ Fastest floating-point typedefs - + + @@ -45,9 +46,7 @@ will also be supported, etc.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128.html b/doc/html/math_toolkit/float128.html index 9a02d4cfa..698ee654a 100644 --- a/doc/html/math_toolkit/float128.html +++ b/doc/html/math_toolkit/float128.html @@ -4,10 +4,11 @@ Implementation of Float128 type - + + @@ -153,9 +154,7 @@
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128/exp_function.html b/doc/html/math_toolkit/float128/exp_function.html index 56969e456..39f4afbf5 100644 --- a/doc/html/math_toolkit/float128/exp_function.html +++ b/doc/html/math_toolkit/float128/exp_function.html @@ -4,10 +4,11 @@ Exponential function - + + @@ -53,9 +54,7 @@ .

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128/overloading.html b/doc/html/math_toolkit/float128/overloading.html index 6adf16c0a..c538e0662 100644 --- a/doc/html/math_toolkit/float128/overloading.html +++ b/doc/html/math_toolkit/float128/overloading.html @@ -4,10 +4,11 @@ Overloading template functions with float128_t - + + @@ -78,9 +79,7 @@ that we provide in #include <boost/cstdfloat.hpp>.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128/typeinfo.html b/doc/html/math_toolkit/float128/typeinfo.html index 22fbe5ef9..0df6270c5 100644 --- a/doc/html/math_toolkit/float128/typeinfo.html +++ b/doc/html/math_toolkit/float128/typeinfo.html @@ -4,10 +4,11 @@ typeinfo - + + @@ -59,9 +60,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float128_hints.html b/doc/html/math_toolkit/float128_hints.html index 510574bfe..07df24e3b 100644 --- a/doc/html/math_toolkit/float128_hints.html +++ b/doc/html/math_toolkit/float128_hints.html @@ -4,10 +4,11 @@ Hints on using float128 (and __float128) - + + @@ -88,9 +89,7 @@ Some examples of what can go horribly and silently wrong are at float128_example.cpp.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/float_comparison.html b/doc/html/math_toolkit/float_comparison.html index f4962ef9b..732f596c4 100644 --- a/doc/html/math_toolkit/float_comparison.html +++ b/doc/html/math_toolkit/float_comparison.html @@ -4,10 +4,11 @@ Floating-point Comparison - + + @@ -395,9 +396,7 @@ epsilon_difference = 0.000000000 we may need a slightly higher value - some trial and error will be necessary).

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fourier_integrals.html b/doc/html/math_toolkit/fourier_integrals.html index e5100402e..d03f6a78b 100644 --- a/doc/html/math_toolkit/fourier_integrals.html +++ b/doc/html/math_toolkit/fourier_integrals.html @@ -4,10 +4,11 @@ Fourier Integrals - + + @@ -297,9 +298,7 @@ pi/(2e) = 5.778636748954608589550465916563481e-01, difference -6.74075480535532 -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets.html b/doc/html/math_toolkit/fp_facets.html index 19521c603..187e2f087 100644 --- a/doc/html/math_toolkit/fp_facets.html +++ b/doc/html/math_toolkit/fp_facets.html @@ -4,10 +4,11 @@ Facets for Floating-Point Infinities and NaNs - + + @@ -73,9 +74,7 @@
    #include <boost\math\special_functions\nonfinite_num_facets.hpp>
     
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/examples.html b/doc/html/math_toolkit/fp_facets/examples.html index 023e42b9c..03e6b28f2 100644 --- a/doc/html/math_toolkit/fp_facets/examples.html +++ b/doc/html/math_toolkit/fp_facets/examples.html @@ -4,10 +4,11 @@ Examples - + + @@ -239,9 +240,7 @@ A full demonstration of serialization by Francois Mauger is at ../../example/nonfinite_num_facet_serialization.cpp

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/facets_intro.html b/doc/html/math_toolkit/fp_facets/facets_intro.html index 014ce3b1c..c7aefcbe8 100644 --- a/doc/html/math_toolkit/fp_facets/facets_intro.html +++ b/doc/html/math_toolkit/fp_facets/facets_intro.html @@ -4,10 +4,11 @@ Introduction - + + @@ -361,9 +362,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/portability.html b/doc/html/math_toolkit/fp_facets/portability.html index bd6ded4e5..47f2e678c 100644 --- a/doc/html/math_toolkit/fp_facets/portability.html +++ b/doc/html/math_toolkit/fp_facets/portability.html @@ -4,10 +4,11 @@ Portability - + + @@ -32,9 +33,7 @@ See the portability information for that library.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/rationale.html b/doc/html/math_toolkit/fp_facets/rationale.html index 30b487fea..a3c6f0360 100644 --- a/doc/html/math_toolkit/fp_facets/rationale.html +++ b/doc/html/math_toolkit/fp_facets/rationale.html @@ -4,10 +4,11 @@ Design Rationale - + + @@ -49,9 +50,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fp_facets/reference.html b/doc/html/math_toolkit/fp_facets/reference.html index aea7e18b6..0fdaed850 100644 --- a/doc/html/math_toolkit/fp_facets/reference.html +++ b/doc/html/math_toolkit/fp_facets/reference.html @@ -4,10 +4,11 @@ Reference - + + @@ -472,9 +473,7 @@ positive and negative NaN are trapped instead.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/fpclass.html b/doc/html/math_toolkit/fpclass.html index 28968ac47..6da5857bc 100644 --- a/doc/html/math_toolkit/fpclass.html +++ b/doc/html/math_toolkit/fpclass.html @@ -4,10 +4,11 @@ Floating-Point Classification: Infinities and NaNs - + + @@ -233,9 +234,7 @@ infinity and NaNs.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/future.html b/doc/html/math_toolkit/future.html index 8068eb6e1..3167af062 100644 --- a/doc/html/math_toolkit/future.html +++ b/doc/html/math_toolkit/future.html @@ -4,10 +4,11 @@ Extras/Future Directions - + + @@ -129,9 +130,7 @@ doublep=probability(acc); -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/gauss.html b/doc/html/math_toolkit/gauss.html index 70c144260..65e566141 100644 --- a/doc/html/math_toolkit/gauss.html +++ b/doc/html/math_toolkit/gauss.html @@ -4,10 +4,11 @@ Gauss-Legendre quadrature - + + @@ -196,9 +197,7 @@ Which yields 0.2106572512258069881080923020669, which is accurate to 5e-28.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/gauss_kronrod.html b/doc/html/math_toolkit/gauss_kronrod.html index fabc54db4..3b530a9b6 100644 --- a/doc/html/math_toolkit/gauss_kronrod.html +++ b/doc/html/math_toolkit/gauss_kronrod.html @@ -4,10 +4,11 @@ Gauss-Kronrod Quadrature - + + @@ -268,9 +269,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/getting_best.html b/doc/html/math_toolkit/getting_best.html index 7af5f354d..0137a4980 100644 --- a/doc/html/math_toolkit/getting_best.html +++ b/doc/html/math_toolkit/getting_best.html @@ -4,10 +4,11 @@ Getting the Best Performance from this Library: Compiler and Compiler Options - + + @@ -137,9 +138,7 @@
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/greatest_typdefs.html b/doc/html/math_toolkit/greatest_typdefs.html index 558c6485c..94416cc45 100644 --- a/doc/html/math_toolkit/greatest_typdefs.html +++ b/doc/html/math_toolkit/greatest_typdefs.html @@ -4,10 +4,11 @@ Greatest-width floating-point typedef - + + @@ -77,9 +78,7 @@ BOOST_FLOAT128_C(123.4567890123456789012345678901234567890)=123.456789012345678901234567890123453 -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hankel.html b/doc/html/math_toolkit/hankel.html index d5eede231..aa3671e35 100644 --- a/doc/html/math_toolkit/hankel.html +++ b/doc/html/math_toolkit/hankel.html @@ -4,10 +4,11 @@ Hankel Functions - + + @@ -31,9 +32,7 @@
    Spherical Hankel Functions
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hankel/cyl_hankel.html b/doc/html/math_toolkit/hankel/cyl_hankel.html index 9412a8c3f..515ceab48 100644 --- a/doc/html/math_toolkit/hankel/cyl_hankel.html +++ b/doc/html/math_toolkit/hankel/cyl_hankel.html @@ -4,10 +4,11 @@ Cyclic Hankel Functions - + + @@ -157,9 +158,7 @@ for integer order are used.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hankel/sph_hankel.html b/doc/html/math_toolkit/hankel/sph_hankel.html index 4a2a424be..bac2f410b 100644 --- a/doc/html/math_toolkit/hankel/sph_hankel.html +++ b/doc/html/math_toolkit/hankel/sph_hankel.html @@ -4,10 +4,11 @@ Spherical Hankel Functions - + + @@ -107,9 +108,7 @@ and cyl_hankel_2.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision.html b/doc/html/math_toolkit/high_precision.html index 0a9e1e5e2..6aabb560e 100644 --- a/doc/html/math_toolkit/high_precision.html +++ b/doc/html/math_toolkit/high_precision.html @@ -4,10 +4,11 @@ Using Boost.Math with High-Precision Floating-Point Libraries - + + @@ -96,9 +97,7 @@ have been demonstrated.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/e_float.html b/doc/html/math_toolkit/high_precision/e_float.html index e6ddc8d2c..8859a945c 100644 --- a/doc/html/math_toolkit/high_precision/e_float.html +++ b/doc/html/math_toolkit/high_precision/e_float.html @@ -4,10 +4,11 @@ Using e_float Library - + + @@ -42,9 +43,7 @@ or cpp_dec_float instead.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/float128.html b/doc/html/math_toolkit/high_precision/float128.html index 90db09b19..64c47267a 100644 --- a/doc/html/math_toolkit/high_precision/float128.html +++ b/doc/html/math_toolkit/high_precision/float128.html @@ -4,10 +4,11 @@ Using with GCC's __float128 datatype - + + @@ -47,9 +48,7 @@ Ultimately these facilities should be provided by GCC and libstdc++.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/use_mpfr.html b/doc/html/math_toolkit/high_precision/use_mpfr.html index 08dc27d9e..eaf04c05c 100644 --- a/doc/html/math_toolkit/high_precision/use_mpfr.html +++ b/doc/html/math_toolkit/high_precision/use_mpfr.html @@ -4,10 +4,11 @@ Using With MPFR or GMP - High-Precision Floating-Point Library - + + @@ -90,9 +91,7 @@ and here.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/use_multiprecision.html b/doc/html/math_toolkit/high_precision/use_multiprecision.html index 579a14c08..b12ab97a6 100644 --- a/doc/html/math_toolkit/high_precision/use_multiprecision.html +++ b/doc/html/math_toolkit/high_precision/use_multiprecision.html @@ -4,10 +4,11 @@ Using Boost.Multiprecision - + + @@ -280,9 +281,7 @@ The full source of this example is at fft_sines_table.cpp

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/use_ntl.html b/doc/html/math_toolkit/high_precision/use_ntl.html index 205ab33b0..debdd1694 100644 --- a/doc/html/math_toolkit/high_precision/use_ntl.html +++ b/doc/html/math_toolkit/high_precision/use_ntl.html @@ -4,10 +4,11 @@ Using NTL Library - + + @@ -55,9 +56,7 @@ There is a concept checking test program for NTL support here.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/using_test.html b/doc/html/math_toolkit/high_precision/using_test.html index 61fa29620..a0c23bc85 100644 --- a/doc/html/math_toolkit/high_precision/using_test.html +++ b/doc/html/math_toolkit/high_precision/using_test.html @@ -4,10 +4,11 @@ Using without expression templates for Boost.Test and others - + + @@ -125,9 +126,7 @@ A full example code is at test_cpp_float_close_fraction.cpp

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/high_precision/why_high_precision.html b/doc/html/math_toolkit/high_precision/why_high_precision.html index 4d73a8fae..6aea5032f 100644 --- a/doc/html/math_toolkit/high_precision/why_high_precision.html +++ b/doc/html/math_toolkit/high_precision/why_high_precision.html @@ -4,10 +4,11 @@ Why use a high-precision library rather than built-in floating-point types? - + + @@ -121,9 +122,7 @@ (almost always) correctly rounded values.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hints.html b/doc/html/math_toolkit/hints.html index defc878cd..933b3e209 100644 --- a/doc/html/math_toolkit/hints.html +++ b/doc/html/math_toolkit/hints.html @@ -4,10 +4,11 @@ Other Hints and tips - + + @@ -116,9 +117,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html index 98fb5757d..4dfdd6e26 100644 --- a/doc/html/math_toolkit/history1.html +++ b/doc/html/math_toolkit/history1.html @@ -4,10 +4,11 @@ History and What's New - + + @@ -38,6 +39,53 @@

    + Math-4.1.1 + (Boost-1.84) +
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    - + Math-2.8.0 (Boost-1.69)
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    - + Math-2.7.1 (Boost-1.68)
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    - + Math-2.6.0 (Boost-1.65)
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    - + Math-2.4.0 (Boost-1.61)
    @@ -810,7 +858,7 @@ Polynomial arithmetic added to tools.
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    - + Math-2.2.1

    @@ -908,7 +956,7 @@

    - + Math-2.2.0 (boost-1.58.0)
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    - + Math-2.1.0 (boost-1.57.0)
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    - + Math-2.0.0 (Boost-1.56.0)
    @@ -1029,7 +1077,7 @@
    - + Math-1.9.1
    - + Math-1.9.0
    - + Boost-1.55
    - + Boost-1.53
    - + Boost-1.52
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
    - + Boost-1.49
    - + Boost-1.48
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    - + Boost-1.46.1
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    - + Boost-1.45.0
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    - + Boost-1.41.0
    - + Boost-1.40.0
    - + Boost-1.38.0
    - + Boost-1.37.0
    - + Boost-1.36.0
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1644,7 +1692,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1658,7 +1706,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1686,7 +1734,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 2: Released September 10th 2006
    @@ -1722,7 +1770,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 1: Released March 31st 2006
    @@ -1754,9 +1802,7 @@ by switching to use the Students t distribution (or Normal distribution Sandbox and trunk last synchonised at revision: .

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index 290b0a4fe..de14e35d0 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -4,10 +4,11 @@ History and What's New - + + @@ -38,6 +39,53 @@

    + Math-4.1.1 + (Boost-1.84) +
    +
    +
    + Math-4.1.0 (Boost-1.82)
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    - + Math-4.0.0 (Boost-1.81)
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    - + Math-2.12.0 (Boost-1.73)
    @@ -466,7 +514,7 @@
    - + Math-2.11.0 (Boost-1.72)
    @@ -528,7 +576,7 @@
    - + Math-2.10.0 (Boost-1.71)
    @@ -562,7 +610,7 @@
    - + Math-2.9.0 (Boost-1.70)
    @@ -616,7 +664,7 @@
    - + Math-2.8.0 (Boost-1.69)
    @@ -673,7 +721,7 @@
    - + Math-2.7.1 (Boost-1.68)
    @@ -687,7 +735,7 @@
    - + Math-2.7.0 (Boost-1.66)
    @@ -704,7 +752,7 @@
    - + Math-2.6.0 (Boost-1.65)
    @@ -741,7 +789,7 @@
    - + Math-2.5.2 (Boost-1.64)
    @@ -758,7 +806,7 @@
    - + Math-2.5.1 (Boost-1.63)
    @@ -774,7 +822,7 @@
    - + Math-2.5.0 (Boost-1.62)
    @@ -799,7 +847,7 @@
    - + Math-2.4.0 (Boost-1.61)
    @@ -810,7 +858,7 @@ Polynomial arithmetic added to tools.
    - + Math-2.3.0 (Boost-1.60)
    @@ -889,7 +937,7 @@
    - + Math-2.2.1

    @@ -908,7 +956,7 @@

    - + Math-2.2.0 (boost-1.58.0)
    @@ -952,7 +1000,7 @@
    - + Math-2.1.0 (boost-1.57.0)
    @@ -978,7 +1026,7 @@
    - + Math-2.0.0 (Boost-1.56.0)
    @@ -1029,7 +1077,7 @@
    - + Math-1.9.1
    - + Math-1.9.0
    - + Boost-1.55
    - + Boost-1.53
    - + Boost-1.52
    - + Boost-1.51

    See Boost-1.52 - some items were added but not listed in time for the release.

    - + Boost-1.50
    - + Boost-1.49
    - + Boost-1.48
    - + Boost-1.47
    - + Boost-1.46.1
    - + Boost-1.46.0
    - + Boost-1.45.0
    - + Boost-1.44.0
    - + Boost-1.41.0
    - + Boost-1.40.0
    - + Boost-1.38.0
    - + Boost-1.37.0
    - + Boost-1.36.0
    - + Boost-1.35.0: Post Review First Official Release
    @@ -1644,7 +1692,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 4: Second Review Candidate (1st March 2007)
    @@ -1658,7 +1706,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 3: First Review Candidate (31st Dec 2006)
    @@ -1686,7 +1734,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 2: Released September 10th 2006
    @@ -1722,7 +1770,7 @@ by switching to use the Students t distribution (or Normal distribution
    - + Milestone 1: Released March 31st 2006
    @@ -1754,9 +1802,7 @@ by switching to use the Students t distribution (or Normal distribution Sandbox and trunk last synchonised at revision: .

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric.html b/doc/html/math_toolkit/hypergeometric.html index a00a07a33..f2b82cef2 100644 --- a/doc/html/math_toolkit/hypergeometric.html +++ b/doc/html/math_toolkit/hypergeometric.html @@ -4,10 +4,11 @@ Hypergeometric Functions - + + @@ -41,9 +42,7 @@ References -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html index 896e86e06..cfbb85f1e 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html @@ -4,10 +4,11 @@ Hypergeometric 0F1 - + + @@ -93,9 +94,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html index d3359ab2b..8ce438981 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html @@ -4,10 +4,11 @@ Hypergeometric 1F0 - + + @@ -81,9 +82,7 @@ 1F0(a, z) = (1-z)-a

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html index d4c3df9b9..dfd2a3660 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html @@ -4,10 +4,11 @@ Hypergeometric 1F1 - + + @@ -772,9 +773,7 @@ if more than half the digits are destroyed by cancellation.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html index a9001e984..31b2540b3 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html @@ -4,10 +4,11 @@ Hypergeometric 2F0 - + + @@ -102,9 +103,7 @@ Otherwise we use the defining series.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html index 318128141..fbb719372 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html @@ -4,10 +4,11 @@ Hypergeometric pFq - + + @@ -139,9 +140,7 @@ via logarithms.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html index 6b4b09598..51d697e7e 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html @@ -4,10 +4,11 @@ Hypergeometric References - + + @@ -91,9 +92,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html index 07b265fc2..4e2a0856a 100644 --- a/doc/html/math_toolkit/internals.html +++ b/doc/html/math_toolkit/internals.html @@ -4,10 +4,11 @@ Internal tools - + + @@ -49,9 +50,7 @@
    Color Maps
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/agm.html b/doc/html/math_toolkit/internals/agm.html index b9c89bd6d..963727536 100644 --- a/doc/html/math_toolkit/internals/agm.html +++ b/doc/html/math_toolkit/internals/agm.html @@ -4,10 +4,11 @@ Arithmetic-Geometric Mean - + + @@ -116,9 +117,7 @@ 2003. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/centered_continued_fraction.html b/doc/html/math_toolkit/internals/centered_continued_fraction.html index 0706f5e6e..02dbdcbf6 100644 --- a/doc/html/math_toolkit/internals/centered_continued_fraction.html +++ b/doc/html/math_toolkit/internals/centered_continued_fraction.html @@ -4,10 +4,11 @@ Centered Continued Fractions - + + @@ -87,9 +88,7 @@ respect to its characterization as a centered continued fraction.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html index 7ef644f0a..d0c89c2e8 100644 --- a/doc/html/math_toolkit/internals/cf.html +++ b/doc/html/math_toolkit/internals/cf.html @@ -4,10 +4,11 @@ Continued Fraction Evaluation - + + @@ -367,9 +368,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/cohen_acceleration.html b/doc/html/math_toolkit/internals/cohen_acceleration.html index 5b88a9b05..e504fbc63 100644 --- a/doc/html/math_toolkit/internals/cohen_acceleration.html +++ b/doc/html/math_toolkit/internals/cohen_acceleration.html @@ -4,10 +4,11 @@ Cohen Acceleration - + + @@ -151,9 +152,7 @@ 9.1 (2000): 3-12. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/color_maps.html b/doc/html/math_toolkit/internals/color_maps.html index be499c5b2..b23427513 100644 --- a/doc/html/math_toolkit/internals/color_maps.html +++ b/doc/html/math_toolkit/internals/color_maps.html @@ -4,10 +4,11 @@ Color Maps - + + @@ -156,9 +157,7 @@ About it . -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/engel_expansion.html b/doc/html/math_toolkit/internals/engel_expansion.html index 738844dd8..f57df92bf 100644 --- a/doc/html/math_toolkit/internals/engel_expansion.html +++ b/doc/html/math_toolkit/internals/engel_expansion.html @@ -4,10 +4,11 @@ Engel Expansion - + + @@ -65,9 +66,7 @@ autoengel=engel_expansion<__float128,checked_int1024_t>(pi<__float128>()); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 8ab8f6598..90ff11fcd 100644 --- a/doc/html/math_toolkit/internals/error_test.html +++ b/doc/html/math_toolkit/internals/error_test.html @@ -4,10 +4,11 @@ Relative Error and Testing - + + @@ -220,9 +221,7 @@ // -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/luroth_expansion.html b/doc/html/math_toolkit/internals/luroth_expansion.html index 8ccaf8cde..dc92fae64 100644 --- a/doc/html/math_toolkit/internals/luroth_expansion.html +++ b/doc/html/math_toolkit/internals/luroth_expansion.html @@ -4,10 +4,11 @@ Luroth Expansions - + + @@ -97,9 +98,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html index 40b1d9dc3..2b7004ce1 100644 --- a/doc/html/math_toolkit/internals/minimax.html +++ b/doc/html/math_toolkit/internals/minimax.html @@ -4,10 +4,11 @@ Minimax Approximations and the Remez Algorithm - + + @@ -265,9 +266,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/recurrence.html b/doc/html/math_toolkit/internals/recurrence.html index 9a2160e03..dcd27f026 100644 --- a/doc/html/math_toolkit/internals/recurrence.html +++ b/doc/html/math_toolkit/internals/recurrence.html @@ -4,10 +4,11 @@ Tools For 3-Term Recurrence Relations - + + @@ -283,9 +284,7 @@ returned successively to Fn-1, Fn-2 etc.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html index 5d345dfda..9fe60a354 100644 --- a/doc/html/math_toolkit/internals/series_evaluation.html +++ b/doc/html/math_toolkit/internals/series_evaluation.html @@ -4,10 +4,11 @@ Series Evaluation - + + @@ -234,9 +235,7 @@ examples.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/simple_continued_fraction.html b/doc/html/math_toolkit/internals/simple_continued_fraction.html index 213e766c3..3ce36560d 100644 --- a/doc/html/math_toolkit/internals/simple_continued_fraction.html +++ b/doc/html/math_toolkit/internals/simple_continued_fraction.html @@ -4,10 +4,11 @@ Simple Continued Fractions - + + @@ -102,9 +103,7 @@ geometric mean is precisely 2.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html index ce368af8f..2e9229699 100644 --- a/doc/html/math_toolkit/internals/test_data.html +++ b/doc/html/math_toolkit/internals/test_data.html @@ -4,10 +4,11 @@ Graphing, Profiling, and Generating Test Data for Special Functions - + + @@ -545,9 +546,7 @@ need for the original pseudo-parameter to be included in program output.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals/tuples.html b/doc/html/math_toolkit/internals/tuples.html index 611d06674..712f11478 100644 --- a/doc/html/math_toolkit/internals/tuples.html +++ b/doc/html/math_toolkit/internals/tuples.html @@ -4,10 +4,11 @@ Tuples - + + @@ -66,9 +67,7 @@ portability.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html index 4be342709..7e15f059a 100644 --- a/doc/html/math_toolkit/internals_overview.html +++ b/doc/html/math_toolkit/internals_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -42,9 +43,7 @@ submissions to this library.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html index b02526702..fa33d5019 100644 --- a/doc/html/math_toolkit/interp.html +++ b/doc/html/math_toolkit/interp.html @@ -4,10 +4,11 @@ Interpreting these Results - + + @@ -55,9 +56,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html index 172d994ff..bdb428749 100644 --- a/doc/html/math_toolkit/intro_pol_overview.html +++ b/doc/html/math_toolkit/intro_pol_overview.html @@ -4,10 +4,11 @@ Policies - + + @@ -99,9 +100,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html index 548d02ad6..32b68b3b4 100644 --- a/doc/html/math_toolkit/inv_hyper.html +++ b/doc/html/math_toolkit/inv_hyper.html @@ -4,10 +4,11 @@ Inverse Hyperbolic Functions - + + @@ -34,9 +35,7 @@
    atanh
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html index 1daa9605f..da1af1d83 100644 --- a/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/doc/html/math_toolkit/inv_hyper/acosh.html @@ -4,10 +4,11 @@ acosh - + + @@ -117,9 +118,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html index 0cf7d5d5e..bfc1b4071 100644 --- a/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/doc/html/math_toolkit/inv_hyper/asinh.html @@ -4,10 +4,11 @@ asinh - + + @@ -112,9 +113,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html index 6173d7687..be189fb04 100644 --- a/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/doc/html/math_toolkit/inv_hyper/atanh.html @@ -4,10 +4,11 @@ atanh - + + @@ -121,9 +122,7 @@ denoting std -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html index 50848f8d3..e1cc07b26 100644 --- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -4,10 +4,11 @@ Inverse Hyperbolic Functions Overview - + + @@ -132,9 +133,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html index bbd93c6c8..3622a3478 100644 --- a/doc/html/math_toolkit/issues.html +++ b/doc/html/math_toolkit/issues.html @@ -4,10 +4,11 @@ Known Issues, and TODO List - + + @@ -1188,9 +1189,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html index 7e889fd1b..896244ca9 100644 --- a/doc/html/math_toolkit/jacobi.html +++ b/doc/html/math_toolkit/jacobi.html @@ -4,10 +4,11 @@ Jacobi Elliptic Functions - + + @@ -57,9 +58,7 @@ sn -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jac_over.html b/doc/html/math_toolkit/jacobi/jac_over.html index 5ad7acc79..d50bb1169 100644 --- a/doc/html/math_toolkit/jacobi/jac_over.html +++ b/doc/html/math_toolkit/jacobi/jac_over.html @@ -4,10 +4,11 @@ Overview of the Jacobi Elliptic Functions - + + @@ -119,9 +120,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html index 6e1bb0135..caedb1328 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function cd - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_cn.html b/doc/html/math_toolkit/jacobi/jacobi_cn.html index ec535074d..2c8b29f4a 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function cn - + + @@ -64,9 +65,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_cs.html b/doc/html/math_toolkit/jacobi/jacobi_cs.html index c8fcba93e..5f48391c9 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cs.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function cs - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_dc.html b/doc/html/math_toolkit/jacobi/jacobi_dc.html index b1bd60360..e9d4c07af 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function dc - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_dn.html b/doc/html/math_toolkit/jacobi/jacobi_dn.html index 5444c7767..c76b16b7b 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function dn - + + @@ -64,9 +65,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_ds.html b/doc/html/math_toolkit/jacobi/jacobi_ds.html index ef749c44b..4aa916b2e 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ds.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function ds - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html index 2ecae058f..4447204dc 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html +++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html @@ -4,10 +4,11 @@ Jacobi Elliptic SN, CN and DN - + + @@ -754,9 +755,7 @@ geometric means.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_nc.html b/doc/html/math_toolkit/jacobi/jacobi_nc.html index 33e52e2c3..778027e45 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function nc - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_nd.html b/doc/html/math_toolkit/jacobi/jacobi_nd.html index b45b3a96e..d810fdcfb 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function nd - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_ns.html b/doc/html/math_toolkit/jacobi/jacobi_ns.html index 4a4b98868..9a9ad99a9 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ns.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function ns - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_sc.html b/doc/html/math_toolkit/jacobi/jacobi_sc.html index b1c8a62f5..4ed248f20 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function sc - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_sd.html b/doc/html/math_toolkit/jacobi/jacobi_sd.html index 9d415832a..a715ada55 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function sd - + + @@ -68,9 +69,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi/jacobi_sn.html b/doc/html/math_toolkit/jacobi/jacobi_sn.html index 348626cf6..b7f7e7424 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html @@ -4,10 +4,11 @@ Jacobi Elliptic Function sn - + + @@ -64,9 +65,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta.html b/doc/html/math_toolkit/jacobi_theta.html index d9087cbc2..58cf0232e 100644 --- a/doc/html/math_toolkit/jacobi_theta.html +++ b/doc/html/math_toolkit/jacobi_theta.html @@ -4,10 +4,11 @@ Jacobi Theta Functions - + + @@ -39,9 +40,7 @@ Function θ4 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html index 8ca3f0a71..f061b15f2 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta1.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ1 - + + @@ -133,9 +134,7 @@ in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html index d59dd9791..683334845 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta2.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ2 - + + @@ -133,9 +134,7 @@ in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html index deea68a79..e2520c8b0 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta3.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ3 - + + @@ -150,9 +151,7 @@ in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html index ae5006a16..cc37e870e 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta4.html @@ -4,10 +4,11 @@ Jacobi Theta Function θ4 - + + @@ -150,9 +151,7 @@ in a small number of iterations.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html index 9eab9402a..896167e4c 100644 --- a/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html +++ b/doc/html/math_toolkit/jacobi_theta/jacobi_theta_overview.html @@ -4,10 +4,11 @@ Overview of the Jacobi Theta Functions - + + @@ -156,9 +157,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index 8fac2c1a7..fa00f1a33 100644 --- a/doc/html/math_toolkit/lambert_w.html +++ b/doc/html/math_toolkit/lambert_w.html @@ -4,10 +4,11 @@ Lambert W function - + + @@ -705,8 +706,9 @@ with the functions lambert

    z < -std::numeric_limits<T>::min(), means that z is zero or denormalized - (if std::numeric_limits<T>::has_denorm_min == - true), for example: r = lambert_wm1(-std::numeric_limits<double>::denorm_min()); + (if boost::math::detail::has_denorm_now<T>() == true), + for example: r = + lambert_wm1(-std::numeric_limits<double>::denorm_min()); and an overflow_error exception is thrown, and will give a message like:

    @@ -1907,9 +1909,7 @@ if (f(w) / f'(w -

    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html index cd9323de6..80b54f502 100644 --- a/doc/html/math_toolkit/lanczos.html +++ b/doc/html/math_toolkit/lanczos.html @@ -4,10 +4,11 @@ The Lanczos Approximation - + + @@ -568,9 +569,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/linear_regression.html b/doc/html/math_toolkit/linear_regression.html index 71a06032c..060bf019e 100644 --- a/doc/html/math_toolkit/linear_regression.html +++ b/doc/html/math_toolkit/linear_regression.html @@ -4,10 +4,11 @@ Linear Regression - + - + + @@ -20,7 +21,7 @@

    -PrevUpHomeNext +PrevUpHomeNext

    @@ -211,9 +212,7 @@ BMSimpleOrdinaryLeastSquaresWRSquared<double>_RMS 1 %

    - - - -
    +

    -PrevUpHomeNext +PrevUpHomeNext
    diff --git a/doc/html/math_toolkit/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index 53b026114..edba513b6 100644 --- a/doc/html/math_toolkit/ljung_box.html +++ b/doc/html/math_toolkit/ljung_box.html @@ -4,10 +4,11 @@ The Ljung-Box Test - + + @@ -114,9 +115,7 @@ p+q.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/logs_and_tables.html b/doc/html/math_toolkit/logs_and_tables.html index d3d2a639d..5dba04f38 100644 --- a/doc/html/math_toolkit/logs_and_tables.html +++ b/doc/html/math_toolkit/logs_and_tables.html @@ -4,10 +4,11 @@ Error logs and tables - + + @@ -33,9 +34,7 @@ Rate Tables -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/logs_and_tables/all_table.html b/doc/html/math_toolkit/logs_and_tables/all_table.html index a02eac14c..0f3c9cffe 100644 --- a/doc/html/math_toolkit/logs_and_tables/all_table.html +++ b/doc/html/math_toolkit/logs_and_tables/all_table.html @@ -4,10 +4,11 @@ Tables of Error Rates for all Functions - + + @@ -12046,9 +12047,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/logs_and_tables/logs.html b/doc/html/math_toolkit/logs_and_tables/logs.html index eeb0b33b8..74ae8541f 100644 --- a/doc/html/math_toolkit/logs_and_tables/logs.html +++ b/doc/html/math_toolkit/logs_and_tables/logs.html @@ -4,10 +4,11 @@ Error Logs For Error Rate Tables - + + @@ -3139,9 +3140,7 @@ 30, 6.33825e+29, -0
    underflow
    30, 1.26765e+30, -0

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/macros.html b/doc/html/math_toolkit/macros.html index 942619c49..d1194f3cf 100644 --- a/doc/html/math_toolkit/macros.html +++ b/doc/html/math_toolkit/macros.html @@ -4,10 +4,11 @@ Floating-Point Constant Macros - + + @@ -69,9 +70,7 @@ See the complete list of constants.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/main_faq.html b/doc/html/math_toolkit/main_faq.html index 8c380f591..c56890de5 100644 --- a/doc/html/math_toolkit/main_faq.html +++ b/doc/html/math_toolkit/main_faq.html @@ -4,10 +4,11 @@ Boost.Math Frequently Asked Questions (FAQs) - + + @@ -368,9 +369,7 @@ needed for your application.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/main_intro.html b/doc/html/math_toolkit/main_intro.html index b37d4ddc2..6b033b2c9 100644 --- a/doc/html/math_toolkit/main_intro.html +++ b/doc/html/math_toolkit/main_intro.html @@ -4,10 +4,11 @@ About the Math Toolkit - + + @@ -178,9 +179,7 @@ (forward mode) of mathematical functions of single and multiple variables.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/main_tr1.html b/doc/html/math_toolkit/main_tr1.html index 8d1b2bc82..d8c4d8c58 100644 --- a/doc/html/math_toolkit/main_tr1.html +++ b/doc/html/math_toolkit/main_tr1.html @@ -4,10 +4,11 @@ C99 and TR1 C Functions Overview - + + @@ -598,9 +599,7 @@ longdoublex); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/makima.html b/doc/html/math_toolkit/makima.html index 9169fcfa0..c308ecae4 100644 --- a/doc/html/math_toolkit/makima.html +++ b/doc/html/math_toolkit/makima.html @@ -4,10 +4,11 @@ Modified Akima interpolation - + + @@ -126,9 +127,7 @@ since this object simply constructs derivatives and forwards the data to cubic_hermite.hpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/mem_typedef.html b/doc/html/math_toolkit/mem_typedef.html index 047e633e2..ca2370fff 100644 --- a/doc/html/math_toolkit/mem_typedef.html +++ b/doc/html/math_toolkit/mem_typedef.html @@ -4,10 +4,11 @@ Quaternion Member Typedefs - + + @@ -53,9 +54,7 @@ These provide easy access to the type the template is built upon.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/minimum_typdefs.html b/doc/html/math_toolkit/minimum_typdefs.html index 24f32457e..75aa1b02f 100644 --- a/doc/html/math_toolkit/minimum_typdefs.html +++ b/doc/html/math_toolkit/minimum_typdefs.html @@ -4,10 +4,11 @@ Minimum-width floating-point typedefs - + + @@ -43,9 +44,7 @@ will also be supported, etc.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/multiprecision.html b/doc/html/math_toolkit/multiprecision.html index 981a5c3e1..768017298 100644 --- a/doc/html/math_toolkit/multiprecision.html +++ b/doc/html/math_toolkit/multiprecision.html @@ -4,10 +4,11 @@ Cost of High-Precision Non-built-in Floating-point - + + @@ -107,9 +108,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/naive_monte_carlo.html b/doc/html/math_toolkit/naive_monte_carlo.html index 8231578d0..50431971a 100644 --- a/doc/html/math_toolkit/naive_monte_carlo.html +++ b/doc/html/math_toolkit/naive_monte_carlo.html @@ -4,10 +4,11 @@ Naive Monte Carlo Integration - + + @@ -218,9 +219,7 @@
    naive_monte_carlo<Real, decltype(g), std::mt19937> mc(g, bounds, (Real) 0.001);
     
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/namespaces.html b/doc/html/math_toolkit/namespaces.html index 91675be02..9055183fe 100644 --- a/doc/html/math_toolkit/namespaces.html +++ b/doc/html/math_toolkit/namespaces.html @@ -4,10 +4,11 @@ Namespaces - + + @@ -86,9 +87,7 @@

    - - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/navigation.html b/doc/html/math_toolkit/navigation.html index f96ffccc1..d04cd30c1 100644 --- a/doc/html/math_toolkit/navigation.html +++ b/doc/html/math_toolkit/navigation.html @@ -4,10 +4,11 @@ Navigation - + + @@ -27,7 +28,7 @@ Navigation

    - +

    Boost.Math documentation is provided in both HTML and PDF formats. @@ -85,9 +86,7 @@

    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/new_const.html b/doc/html/math_toolkit/new_const.html index 66ee6754b..ee168e19f 100644 --- a/doc/html/math_toolkit/new_const.html +++ b/doc/html/math_toolkit/new_const.html @@ -4,10 +4,11 @@ Defining New Constants - + + @@ -244,9 +245,7 @@ }// namespace boost -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float.html b/doc/html/math_toolkit/next_float.html index 99b353d1f..19aa6a13e 100644 --- a/doc/html/math_toolkit/next_float.html +++ b/doc/html/math_toolkit/next_float.html @@ -4,10 +4,11 @@ Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values - + + @@ -97,9 +98,7 @@ plots reveal math-function accuracy.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_advance.html b/doc/html/math_toolkit/next_float/float_advance.html index 1d4d28bdd..20193660d 100644 --- a/doc/html/math_toolkit/next_float/float_advance.html +++ b/doc/html/math_toolkit/next_float/float_advance.html @@ -4,10 +4,11 @@ Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance - + + @@ -53,9 +54,7 @@ Returns a floating-point number r such that float_distance(val, r) == distance.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_distance.html b/doc/html/math_toolkit/next_float/float_distance.html index c3d449584..1c8956b4a 100644 --- a/doc/html/math_toolkit/next_float/float_distance.html +++ b/doc/html/math_toolkit/next_float/float_distance.html @@ -4,10 +4,11 @@ Calculating the Representation Distance Between Two floating-point Values (ULP) float_distance - + + @@ -87,9 +88,7 @@ an exact integer by type FPT, but in practice this is unlikely to be a issue.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_next.html b/doc/html/math_toolkit/next_float/float_next.html index c556bfa82..65cd2cec4 100644 --- a/doc/html/math_toolkit/next_float/float_next.html +++ b/doc/html/math_toolkit/next_float/float_next.html @@ -4,10 +4,11 @@ Finding the Next Greater Representable Value (float_next) - + + @@ -57,9 +58,7 @@
    nextafter(val, (std::numeric_limits<FPT>::max)());
     
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/float_prior.html b/doc/html/math_toolkit/next_float/float_prior.html index 9cb59d996..de078e9c5 100644 --- a/doc/html/math_toolkit/next_float/float_prior.html +++ b/doc/html/math_toolkit/next_float/float_prior.html @@ -4,10 +4,11 @@ Finding the Next Smaller Representable Value (float_prior) - + + @@ -57,9 +58,7 @@
    nextafter(val, -(std::numeric_limits<FPT>::max)());  // Note most negative value -max.
     
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/nextafter.html b/doc/html/math_toolkit/next_float/nextafter.html index 0e6b80d26..9b4b9342c 100644 --- a/doc/html/math_toolkit/next_float/nextafter.html +++ b/doc/html/math_toolkit/next_float/nextafter.html @@ -4,10 +4,11 @@ Finding the Next Representable Value in a Specific Direction (nextafter) - + + @@ -111,9 +112,7 @@ nextafter(0.1F,10)is0.099999994 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/next_float/ulp.html b/doc/html/math_toolkit/next_float/ulp.html index 487326bb1..86959c37a 100644 --- a/doc/html/math_toolkit/next_float/ulp.html +++ b/doc/html/math_toolkit/next_float/ulp.html @@ -4,10 +4,11 @@ Obtaining the Size of a Unit In the Last Place - ULP - + + @@ -109,11 +110,10 @@ When the argument becomes very small, it may be that there is no floating-point value that represents one ULP. Whether this is the case or not depends not only on whether the hardware may sometimes support - denormals (as signalled by std::numeric_limits<FPT>::has_denorm), - but also whether these are currently enabled at runtime (for example - on SSE hardware, the DAZ or FTZ flags will disable denormal support). - In this situation, the ulp - function may return a value that is many orders of magnitude too large. + denormals (as signalled by boost::math::detail::has_denorm_now<FPT>()), but also whether these are currently + enabled at runtime (for example on SSE hardware, the DAZ or FTZ flags + will disable denormal support). In this situation, the ulp function may return a value that + is many orders of magnitude too large.

    @@ -145,9 +145,7 @@ xc) / ulp(xt).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/norms.html b/doc/html/math_toolkit/norms.html index 8a656bf44..8da588c41 100644 --- a/doc/html/math_toolkit/norms.html +++ b/doc/html/math_toolkit/norms.html @@ -4,10 +4,11 @@ Norms - + + @@ -360,9 +361,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series.html b/doc/html/math_toolkit/number_series.html index 8ecbc138d..0f85421c9 100644 --- a/doc/html/math_toolkit/number_series.html +++ b/doc/html/math_toolkit/number_series.html @@ -4,10 +4,11 @@ Number Series - + + @@ -35,9 +36,7 @@ Numbers -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/bernoulli_numbers.html b/doc/html/math_toolkit/number_series/bernoulli_numbers.html index ec16aa3bf..0ecd87502 100644 --- a/doc/html/math_toolkit/number_series/bernoulli_numbers.html +++ b/doc/html/math_toolkit/number_series/bernoulli_numbers.html @@ -4,10 +4,11 @@ Bernoulli Numbers - + + @@ -365,9 +366,7 @@ and also obtain much

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/fibonacci_numbers.html b/doc/html/math_toolkit/number_series/fibonacci_numbers.html index d76286d0f..b543d86b6 100644 --- a/doc/html/math_toolkit/number_series/fibonacci_numbers.html +++ b/doc/html/math_toolkit/number_series/fibonacci_numbers.html @@ -4,10 +4,11 @@ Fibonacci Numbers - + + @@ -178,9 +179,7 @@ version.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/primes.html b/doc/html/math_toolkit/number_series/primes.html index bcad5eaec..10e8499bc 100644 --- a/doc/html/math_toolkit/number_series/primes.html +++ b/doc/html/math_toolkit/number_series/primes.html @@ -4,10 +4,11 @@ Prime Numbers - + + @@ -69,9 +70,7 @@ if the compiler supports C++14 constexpr functions.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/number_series/tangent_numbers.html b/doc/html/math_toolkit/number_series/tangent_numbers.html index be8a1f3cf..885a4494a 100644 --- a/doc/html/math_toolkit/number_series/tangent_numbers.html +++ b/doc/html/math_toolkit/number_series/tangent_numbers.html @@ -4,10 +4,11 @@ Tangent Numbers - + + @@ -121,9 +122,7 @@ numbers documentation for details.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_create.html b/doc/html/math_toolkit/oct_create.html index e76ecdb9c..418c7a51d 100644 --- a/doc/html/math_toolkit/oct_create.html +++ b/doc/html/math_toolkit/oct_create.html @@ -4,10 +4,11 @@ Octonion Creation Functions - + + @@ -65,9 +66,7 @@ the complex value operation arg as the situation is somewhat more complicated.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_header.html b/doc/html/math_toolkit/oct_header.html index 5679493fa..203014293 100644 --- a/doc/html/math_toolkit/oct_header.html +++ b/doc/html/math_toolkit/oct_header.html @@ -4,10 +4,11 @@ Header File - + + @@ -30,9 +31,7 @@ The interface and implementation are both supplied by the header file octonion.hpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_history.html b/doc/html/math_toolkit/oct_history.html index b8036cd06..1afae0c89 100644 --- a/doc/html/math_toolkit/oct_history.html +++ b/doc/html/math_toolkit/oct_history.html @@ -4,10 +4,11 @@ History - + + @@ -92,9 +93,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_mem_fun.html b/doc/html/math_toolkit/oct_mem_fun.html index 35b6cbdf1..5cc4caa12 100644 --- a/doc/html/math_toolkit/oct_mem_fun.html +++ b/doc/html/math_toolkit/oct_mem_fun.html @@ -4,10 +4,11 @@ Octonion Member Functions - + + @@ -240,9 +241,7 @@ for the multiplication, remember to group any two factors using parenthesis.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_non_mem.html b/doc/html/math_toolkit/oct_non_mem.html index 388f9949b..9ecc4cbba 100644 --- a/doc/html/math_toolkit/oct_non_mem.html +++ b/doc/html/math_toolkit/oct_non_mem.html @@ -4,10 +4,11 @@ Octonion Non-Member Operators - + + @@ -204,9 +205,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_overview.html b/doc/html/math_toolkit/oct_overview.html index b7060d92a..4ac38cc49 100644 --- a/doc/html/math_toolkit/oct_overview.html +++ b/doc/html/math_toolkit/oct_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -67,9 +68,7 @@ known since quite a long time ago).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_specialization.html b/doc/html/math_toolkit/oct_specialization.html index caedb45d1..b3e5e4256 100644 --- a/doc/html/math_toolkit/oct_specialization.html +++ b/doc/html/math_toolkit/oct_specialization.html @@ -4,10 +4,11 @@ Octonion Specializations - + + @@ -223,9 +224,7 @@ }}// namespaces -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_synopsis.html b/doc/html/math_toolkit/oct_synopsis.html index d3bdc3ae6..a2d51a9b2 100644 --- a/doc/html/math_toolkit/oct_synopsis.html +++ b/doc/html/math_toolkit/oct_synopsis.html @@ -4,10 +4,11 @@ Synopsis - + + @@ -122,9 +123,7 @@ }}// namespaces -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_tests.html b/doc/html/math_toolkit/oct_tests.html index 86b2d67e3..df3b07f34 100644 --- a/doc/html/math_toolkit/oct_tests.html +++ b/doc/html/math_toolkit/oct_tests.html @@ -4,10 +4,11 @@ Test Program - + + @@ -41,9 +42,7 @@ standard input (instead of hard-coding it in the test).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_todo.html b/doc/html/math_toolkit/oct_todo.html index f78835fcc..eeec84a3b 100644 --- a/doc/html/math_toolkit/oct_todo.html +++ b/doc/html/math_toolkit/oct_todo.html @@ -4,10 +4,11 @@ To Do - + + @@ -38,9 +39,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_trans.html b/doc/html/math_toolkit/oct_trans.html index df543a689..859d0ba71 100644 --- a/doc/html/math_toolkit/oct_trans.html +++ b/doc/html/math_toolkit/oct_trans.html @@ -4,10 +4,11 @@ Octonions Transcendentals - + + @@ -129,9 +130,7 @@ Computes the n-th power of the octonion q.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_typedefs.html b/doc/html/math_toolkit/oct_typedefs.html index 79953ca99..7c59f5eb9 100644 --- a/doc/html/math_toolkit/oct_typedefs.html +++ b/doc/html/math_toolkit/oct_typedefs.html @@ -4,10 +4,11 @@ Octonion Member Typedefs - + + @@ -53,9 +54,7 @@ These provide easy access to the type the template is built upon.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/oct_value_ops.html b/doc/html/math_toolkit/oct_value_ops.html index fbbc70268..b3892eb43 100644 --- a/doc/html/math_toolkit/oct_value_ops.html +++ b/doc/html/math_toolkit/oct_value_ops.html @@ -4,10 +4,11 @@ Octonion Value Operations - + + @@ -89,9 +90,7 @@ norm.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/octonion.html b/doc/html/math_toolkit/octonion.html index 97b209886..69d64e26c 100644 --- a/doc/html/math_toolkit/octonion.html +++ b/doc/html/math_toolkit/octonion.html @@ -4,10 +4,11 @@ Template Class octonion - + + @@ -95,9 +96,7 @@ }}// namespaces -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/overview_tr1.html b/doc/html/math_toolkit/overview_tr1.html index 08d0076b7..9fa7548f7 100644 --- a/doc/html/math_toolkit/overview_tr1.html +++ b/doc/html/math_toolkit/overview_tr1.html @@ -4,10 +4,11 @@ C99 and C++ TR1 C-style Functions - + + @@ -598,9 +599,7 @@ longdoublex); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/owens_t.html b/doc/html/math_toolkit/owens_t.html index 2ea13feaf..82fa969af 100644 --- a/doc/html/math_toolkit/owens_t.html +++ b/doc/html/math_toolkit/owens_t.html @@ -4,10 +4,11 @@ Owen's T function - + + @@ -304,9 +305,7 @@ is close to 1, and greater than 95 decimal places elsewhere.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pchip.html b/doc/html/math_toolkit/pchip.html index d430591ff..95031b706 100644 --- a/doc/html/math_toolkit/pchip.html +++ b/doc/html/math_toolkit/pchip.html @@ -4,10 +4,11 @@ PCHIP interpolation - + + @@ -119,9 +120,7 @@ interpolator, so the performance is stated in the documentation for cubic_hermite.hpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/perf_over1.html b/doc/html/math_toolkit/perf_over1.html index 115daa775..ee179e050 100644 --- a/doc/html/math_toolkit/perf_over1.html +++ b/doc/html/math_toolkit/perf_over1.html @@ -4,10 +4,11 @@ Performance - + + @@ -69,9 +70,7 @@ this library compares to some other open source alternatives.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/perf_over2.html b/doc/html/math_toolkit/perf_over2.html index 91b4b5d77..7dd368ddb 100644 --- a/doc/html/math_toolkit/perf_over2.html +++ b/doc/html/math_toolkit/perf_over2.html @@ -4,10 +4,11 @@ Performance Overview - + + @@ -69,9 +70,7 @@ this library compares to some other open source alternatives.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/perf_test_app.html b/doc/html/math_toolkit/perf_test_app.html index 612edcc08..d76bd1f94 100644 --- a/doc/html/math_toolkit/perf_test_app.html +++ b/doc/html/math_toolkit/perf_test_app.html @@ -4,10 +4,11 @@ The Performance Test Applications - + + @@ -99,9 +100,7 @@ the compiler.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_overview.html b/doc/html/math_toolkit/pol_overview.html index 910e229f5..3854748b8 100644 --- a/doc/html/math_toolkit/pol_overview.html +++ b/doc/html/math_toolkit/pol_overview.html @@ -4,10 +4,11 @@ Policy Overview - + + @@ -99,9 +100,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref.html b/doc/html/math_toolkit/pol_ref.html index d7ec9d1a5..22f32ccd2 100644 --- a/doc/html/math_toolkit/pol_ref.html +++ b/doc/html/math_toolkit/pol_ref.html @@ -4,10 +4,11 @@ Policy Reference - + + @@ -45,9 +46,7 @@
    Policy Class Reference
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/assert_undefined.html b/doc/html/math_toolkit/pol_ref/assert_undefined.html index 38965e75e..4bb5ec171 100644 --- a/doc/html/math_toolkit/pol_ref/assert_undefined.html +++ b/doc/html/math_toolkit/pol_ref/assert_undefined.html @@ -4,10 +4,11 @@ Mathematically Undefined Function Policies - + + @@ -83,9 +84,7 @@ Macros to Change the Policy Defaults.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html index 14663c001..1b187cc22 100644 --- a/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html +++ b/doc/html/math_toolkit/pol_ref/discrete_quant_ref.html @@ -4,10 +4,11 @@ Discrete Quantile Policies - + + @@ -233,9 +234,7 @@ (rounded from 68.1584).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/error_handling_policies.html b/doc/html/math_toolkit/pol_ref/error_handling_policies.html index 61acead8d..c175fd00f 100644 --- a/doc/html/math_toolkit/pol_ref/error_handling_policies.html +++ b/doc/html/math_toolkit/pol_ref/error_handling_policies.html @@ -4,10 +4,11 @@ Error Handling Policies - + + @@ -754,9 +755,7 @@ doubleq=quantile(my_norm(),0.05);// = -1.64485 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/internal_promotion.html b/doc/html/math_toolkit/pol_ref/internal_promotion.html index d5fc11135..5db79d677 100644 --- a/doc/html/math_toolkit/pol_ref/internal_promotion.html +++ b/doc/html/math_toolkit/pol_ref/internal_promotion.html @@ -4,10 +4,11 @@ Internal Floating-point Promotion Policies - + + @@ -131,9 +132,7 @@ floatq=quantile(my_norm(),0.05f); -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/iteration_pol.html b/doc/html/math_toolkit/pol_ref/iteration_pol.html index d861c9bce..ea0bd5f7e 100644 --- a/doc/html/math_toolkit/pol_ref/iteration_pol.html +++ b/doc/html/math_toolkit/pol_ref/iteration_pol.html @@ -4,10 +4,11 @@ Iteration Limits Policies - + + @@ -48,9 +49,7 @@ before the special function gives up and returns the result of evaluation_error.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/namespace_pol.html b/doc/html/math_toolkit/pol_ref/namespace_pol.html index bb03649c6..ecb578fe3 100644 --- a/doc/html/math_toolkit/pol_ref/namespace_pol.html +++ b/doc/html/math_toolkit/pol_ref/namespace_pol.html @@ -4,10 +4,11 @@ Setting Polices at Namespace Scope - + + @@ -139,9 +140,7 @@ with the "_distribution" suffix removed.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html index 1db3e8e84..c38c641cc 100644 --- a/doc/html/math_toolkit/pol_ref/pol_ref_ref.html +++ b/doc/html/math_toolkit/pol_ref/pol_ref_ref.html @@ -4,10 +4,11 @@ Policy Class Reference - + + @@ -242,9 +243,7 @@ only on the policy types that they actually use.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/policy_defaults.html b/doc/html/math_toolkit/pol_ref/policy_defaults.html index f483931a4..73ee7e004 100644 --- a/doc/html/math_toolkit/pol_ref/policy_defaults.html +++ b/doc/html/math_toolkit/pol_ref/policy_defaults.html @@ -4,10 +4,11 @@ Using Macros to Change the Policy Defaults - + + @@ -239,9 +240,7 @@ in a source .cpp file.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_ref/precision_pol.html b/doc/html/math_toolkit/pol_ref/precision_pol.html index a89560f2c..705295fc8 100644 --- a/doc/html/math_toolkit/pol_ref/precision_pol.html +++ b/doc/html/math_toolkit/pol_ref/precision_pol.html @@ -4,10 +4,11 @@ Precision Policies - + + @@ -91,9 +92,7 @@ 0.05);// 5% quantile. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial.html b/doc/html/math_toolkit/pol_tutorial.html index d8a16b821..4a95b3795 100644 --- a/doc/html/math_toolkit/pol_tutorial.html +++ b/doc/html/math_toolkit/pol_tutorial.html @@ -4,10 +4,11 @@ Policy Tutorial - + + @@ -47,9 +48,7 @@ Quantiles of Discrete Distributions -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html index b884c06ce..1c6c45d57 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_dist_policies.html @@ -4,10 +4,11 @@ Setting Policies for Distributions on an Ad Hoc Basis - + + @@ -86,9 +87,7 @@

    quantile is: 40
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html index 20856ed96..59919961c 100644 --- a/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/ad_hoc_sf_policies.html @@ -4,10 +4,11 @@ Changing the Policy on an Ad Hoc Basis for the Special Functions - + + @@ -155,9 +156,7 @@ errno = 33 } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html index 6a589ce92..7b9fa8fa0 100644 --- a/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/changing_policy_defaults.html @@ -4,10 +4,11 @@ Changing the Policy Defaults - + + @@ -239,9 +240,7 @@ cdf returned a NaN! errno is set to: 33 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html index b2af59f47..0be96325b 100644 --- a/doc/html/math_toolkit/pol_tutorial/namespace_policies.html +++ b/doc/html/math_toolkit/pol_tutorial/namespace_policies.html @@ -4,10 +4,11 @@ Setting Policies at Namespace or Translation Unit Scope - + + @@ -347,9 +348,7 @@ Result of quantile(complement(binom, 0.05)) is: 8 } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html index 920998f4b..cb920fd2d 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_tut_defaults.html @@ -4,10 +4,11 @@ Policies Have Sensible Defaults - + + @@ -139,9 +140,7 @@ typedefnormalise<my_policy,digits2<9>>::typemy_policy_9;// errno on error, and limited precision. -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/policy_usage.html b/doc/html/math_toolkit/pol_tutorial/policy_usage.html index 8bb0dd916..ab16e0189 100644 --- a/doc/html/math_toolkit/pol_tutorial/policy_usage.html +++ b/doc/html/math_toolkit/pol_tutorial/policy_usage.html @@ -4,10 +4,11 @@ So How are Policies Used Anyway? - + + @@ -54,9 +55,7 @@ The following sections introduce these methods in more detail.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html index 4a299c32a..3fd89e1e6 100644 --- a/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html +++ b/doc/html/math_toolkit/pol_tutorial/understand_dis_quant.html @@ -4,10 +4,11 @@ Understanding Quantiles of Discrete Distributions - + + @@ -398,9 +399,7 @@ real 18.701 30.299 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html index 2bc55d8d8..4de77094f 100644 --- a/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html +++ b/doc/html/math_toolkit/pol_tutorial/user_def_err_pol.html @@ -4,10 +4,11 @@ Calling User Defined Error Handlers - + + @@ -435,9 +436,7 @@ Result of tgamma(-190.5) is: 0 then notices that it is dividing by infinity and so underflows.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html index 2af940ea3..5332a0439 100644 --- a/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html +++ b/doc/html/math_toolkit/pol_tutorial/what_is_a_policy.html @@ -4,10 +4,11 @@ So Just What is a Policy Anyway? - + + @@ -82,9 +83,7 @@ >my_policy; -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/polynomials.html b/doc/html/math_toolkit/polynomials.html index bc0e52fd8..ff88e552a 100644 --- a/doc/html/math_toolkit/polynomials.html +++ b/doc/html/math_toolkit/polynomials.html @@ -4,10 +4,11 @@ Polynomials - + + @@ -317,9 +318,7 @@ The source code is at polynomial_arithmetic.cpp

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers.html b/doc/html/math_toolkit/powers.html index 4942bad9f..7d3baaf17 100644 --- a/doc/html/math_toolkit/powers.html +++ b/doc/html/math_toolkit/powers.html @@ -4,10 +4,11 @@ Basic Functions - + + @@ -41,9 +42,7 @@
    logaddexp and logsumexp
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/cbrt.html b/doc/html/math_toolkit/powers/cbrt.html index 186a9dc90..8dd57b039 100644 --- a/doc/html/math_toolkit/powers/cbrt.html +++ b/doc/html/math_toolkit/powers/cbrt.html @@ -4,10 +4,11 @@ cbrt - + + @@ -146,9 +147,7 @@ calculated using NTL::RR at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/cos_pi.html b/doc/html/math_toolkit/powers/cos_pi.html index c11c0bf59..3c3325952 100644 --- a/doc/html/math_toolkit/powers/cos_pi.html +++ b/doc/html/math_toolkit/powers/cos_pi.html @@ -4,10 +4,11 @@ cos_pi - + + @@ -150,9 +151,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/ct_pow.html b/doc/html/math_toolkit/powers/ct_pow.html index aa4b96218..0fbd674b8 100644 --- a/doc/html/math_toolkit/powers/ct_pow.html +++ b/doc/html/math_toolkit/powers/ct_pow.html @@ -4,10 +4,11 @@ Compile Time Power of a Runtime Base - + + @@ -255,9 +256,7 @@ improving the implementation. Algorithms, 2nd ed., Addison-Wesley, Reading, MA, 1981

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/expm1.html b/doc/html/math_toolkit/powers/expm1.html index 6907d193e..be5faa03e 100644 --- a/doc/html/math_toolkit/powers/expm1.html +++ b/doc/html/math_toolkit/powers/expm1.html @@ -4,10 +4,11 @@ expm1 - + + @@ -156,9 +157,7 @@ calculated using NTL::RR at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/hypot.html b/doc/html/math_toolkit/powers/hypot.html index 1f23074c7..028f1dbdc 100644 --- a/doc/html/math_toolkit/powers/hypot.html +++ b/doc/html/math_toolkit/powers/hypot.html @@ -4,10 +4,11 @@ hypot - + + @@ -84,9 +85,7 @@

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/log1p.html b/doc/html/math_toolkit/powers/log1p.html index 655b3f71c..d9db79536 100644 --- a/doc/html/math_toolkit/powers/log1p.html +++ b/doc/html/math_toolkit/powers/log1p.html @@ -4,10 +4,11 @@ log1p - + + @@ -171,9 +172,7 @@ calculated using NTL::RR at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/logaddexp.html b/doc/html/math_toolkit/powers/logaddexp.html index 66fe9738c..65569874b 100644 --- a/doc/html/math_toolkit/powers/logaddexp.html +++ b/doc/html/math_toolkit/powers/logaddexp.html @@ -4,10 +4,11 @@ logaddexp and logsumexp - + + @@ -146,9 +147,7 @@ is the Log-Sum-Exp Function? -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/powm1.html b/doc/html/math_toolkit/powers/powm1.html index d13d0987b..179a25e5e 100644 --- a/doc/html/math_toolkit/powers/powm1.html +++ b/doc/html/math_toolkit/powers/powm1.html @@ -4,10 +4,11 @@ powm1 - + + @@ -150,9 +151,7 @@ at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/rsqrt.html b/doc/html/math_toolkit/powers/rsqrt.html index 411cd5d61..11b5d56a1 100644 --- a/doc/html/math_toolkit/powers/rsqrt.html +++ b/doc/html/math_toolkit/powers/rsqrt.html @@ -4,10 +4,11 @@ Reciprocal square root - + + @@ -96,9 +97,7 @@ Rsqrt<cpp_bin_float_100>9393ns9393ns72967 -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/sin_pi.html b/doc/html/math_toolkit/powers/sin_pi.html index 50b839712..6122beefa 100644 --- a/doc/html/math_toolkit/powers/sin_pi.html +++ b/doc/html/math_toolkit/powers/sin_pi.html @@ -4,10 +4,11 @@ sin_pi - + + @@ -150,9 +151,7 @@
    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/powers/sqrt1pm1.html b/doc/html/math_toolkit/powers/sqrt1pm1.html index 9c6717de4..8be59d586 100644 --- a/doc/html/math_toolkit/powers/sqrt1pm1.html +++ b/doc/html/math_toolkit/powers/sqrt1pm1.html @@ -4,10 +4,11 @@ sqrt1pm1 - + + @@ -148,9 +149,7 @@ at 1000-bit precision.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quartic_roots.html b/doc/html/math_toolkit/quartic_roots.html index f03dd34e6..acebfb797 100644 --- a/doc/html/math_toolkit/quartic_roots.html +++ b/doc/html/math_toolkit/quartic_roots.html @@ -4,10 +4,11 @@ Roots of Quartic Polynomials - + + @@ -68,9 +69,7 @@ your system.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat.html b/doc/html/math_toolkit/quat.html index 0d51daf60..9534563cc 100644 --- a/doc/html/math_toolkit/quat.html +++ b/doc/html/math_toolkit/quat.html @@ -4,10 +4,11 @@ Template Class quaternion - + + @@ -80,9 +81,7 @@ }// namespace boost -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_header.html b/doc/html/math_toolkit/quat_header.html index ac90fcf96..ed33dd040 100644 --- a/doc/html/math_toolkit/quat_header.html +++ b/doc/html/math_toolkit/quat_header.html @@ -4,10 +4,11 @@ Header File - + + @@ -30,9 +31,7 @@ The interface and implementation are both supplied by the header file quaternion.hpp.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_history.html b/doc/html/math_toolkit/quat_history.html index c0bb97d44..ce37895fb 100644 --- a/doc/html/math_toolkit/quat_history.html +++ b/doc/html/math_toolkit/quat_history.html @@ -4,10 +4,11 @@ History - + + @@ -94,9 +95,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_mem_fun.html b/doc/html/math_toolkit/quat_mem_fun.html index 6a69c8f6a..5a2ab3b7e 100644 --- a/doc/html/math_toolkit/quat_mem_fun.html +++ b/doc/html/math_toolkit/quat_mem_fun.html @@ -4,10 +4,11 @@ Quaternion Member Functions - + + @@ -217,9 +218,7 @@ unspecialized form, the base type's assignment operators must not throw.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_non_mem.html b/doc/html/math_toolkit/quat_non_mem.html index 6e1f2e85e..844bbbf5a 100644 --- a/doc/html/math_toolkit/quat_non_mem.html +++ b/doc/html/math_toolkit/quat_non_mem.html @@ -4,10 +4,11 @@ Quaternion Non-Member Operators - + + @@ -205,9 +206,7 @@ } -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_overview.html b/doc/html/math_toolkit/quat_overview.html index 036f35987..d7dbd746f 100644 --- a/doc/html/math_toolkit/quat_overview.html +++ b/doc/html/math_toolkit/quat_overview.html @@ -4,10 +4,11 @@ Overview - + + @@ -77,9 +78,7 @@ root, do not.

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_synopsis.html b/doc/html/math_toolkit/quat_synopsis.html index d5c5de839..11a71292f 100644 --- a/doc/html/math_toolkit/quat_synopsis.html +++ b/doc/html/math_toolkit/quat_synopsis.html @@ -4,10 +4,11 @@ Synopsis - + + @@ -109,9 +110,7 @@ }// namespace boost -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_tests.html b/doc/html/math_toolkit/quat_tests.html index 5a4d0b54a..2a311a00e 100644 --- a/doc/html/math_toolkit/quat_tests.html +++ b/doc/html/math_toolkit/quat_tests.html @@ -4,10 +4,11 @@ Test Program - + + @@ -42,9 +43,7 @@ standard input (instead of hard-coding it in the test).

    -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quat_todo.html b/doc/html/math_toolkit/quat_todo.html index 5bf303d08..91a8c2e1c 100644 --- a/doc/html/math_toolkit/quat_todo.html +++ b/doc/html/math_toolkit/quat_todo.html @@ -4,10 +4,11 @@ To Do - + + @@ -42,9 +43,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/quintic_hermite.html b/doc/html/math_toolkit/quintic_hermite.html index b28715839..b2909a87c 100644 --- a/doc/html/math_toolkit/quintic_hermite.html +++ b/doc/html/math_toolkit/quintic_hermite.html @@ -4,10 +4,11 @@ Quintic Hermite interpolation - + + @@ -222,9 +223,7 @@ CardinalQuinticHermiteAOS<double>_BigO5.64(1) -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rational.html b/doc/html/math_toolkit/rational.html index d6ad6f9c3..52a764679 100644 --- a/doc/html/math_toolkit/rational.html +++ b/doc/html/math_toolkit/rational.html @@ -4,10 +4,11 @@ Polynomial and Rational Function Evaluation - + + @@ -212,9 +213,7 @@ changing the default settings.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rationale.html b/doc/html/math_toolkit/rationale.html index f896eed07..c498c2499 100644 --- a/doc/html/math_toolkit/rationale.html +++ b/doc/html/math_toolkit/rationale.html @@ -4,10 +4,11 @@ Rationale - + + @@ -136,9 +137,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/real_concepts.html b/doc/html/math_toolkit/real_concepts.html index 6e7918450..af2cf6e40 100644 --- a/doc/html/math_toolkit/real_concepts.html +++ b/doc/html/math_toolkit/real_concepts.html @@ -4,10 +4,11 @@ Conceptual Requirements for Real Number Types - + + @@ -1357,9 +1358,7 @@ in any function that makes use of the gamma/beta/erf family of functions.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/refs.html b/doc/html/math_toolkit/refs.html index 4dd108f64..36f099026 100644 --- a/doc/html/math_toolkit/refs.html +++ b/doc/html/math_toolkit/refs.html @@ -4,10 +4,11 @@ References - + + @@ -78,10 +79,10 @@ by N.A.J. Hastings, Brian Peacock, Merran Evans, ISBN: 0471371246, Wiley 2000.

    - Extreme Value - Distributions, Theory and Applications Samuel Kotz & Saralees Nadarajah, - ISBN 978-1-86094-224-2 & 1-86094-224-5 Oct 2000, Chapter 1.2 discusses - the various extreme value distributions. + Extreme + Value Distributions, Theory and Applications Samuel Kotz & Saralees + Nadarajah, ISBN 978-1-86094-224-2 & 1-86094-224-5 Oct 2000, Chapter 1.2 + discusses the various extreme value distributions.

    pugh.pdf @@ -196,9 +197,7 @@ in finance.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/relative_error.html b/doc/html/math_toolkit/relative_error.html index 5aab6c620..575ea9077 100644 --- a/doc/html/math_toolkit/relative_error.html +++ b/doc/html/math_toolkit/relative_error.html @@ -4,10 +4,11 @@ Relative Error - + + @@ -106,9 +107,7 @@ for more information.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/remez.html b/doc/html/math_toolkit/remez.html index 03a1ad224..343bd3ab5 100644 --- a/doc/html/math_toolkit/remez.html +++ b/doc/html/math_toolkit/remez.html @@ -4,10 +4,11 @@ The Remez Method - + + @@ -536,9 +537,7 @@ Physics, vol.1, No. 3, 1994.

    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/result_type.html b/doc/html/math_toolkit/result_type.html index d147b54fb..ea53ca219 100644 --- a/doc/html/math_toolkit/result_type.html +++ b/doc/html/math_toolkit/result_type.html @@ -4,10 +4,11 @@ Calculation of the Type of the Result - + + @@ -165,9 +166,7 @@ 5.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison.html b/doc/html/math_toolkit/root_comparison.html index c886cc232..c545227eb 100644 --- a/doc/html/math_toolkit/root_comparison.html +++ b/doc/html/math_toolkit/root_comparison.html @@ -4,10 +4,11 @@ Comparison of Root Finding Algorithms - + + @@ -36,9 +37,7 @@ of Elliptic Integral Root Finding Algorithms -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html index f8a544863..a0158901a 100644 --- a/doc/html/math_toolkit/root_comparison/cbrt_comparison.html +++ b/doc/html/math_toolkit/root_comparison/cbrt_comparison.html @@ -4,10 +4,11 @@ Comparison of Cube Root Finding Algorithms - + + @@ -1569,9 +1570,7 @@
    -
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    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html index 1373fb8be..9cc8024f5 100644 --- a/doc/html/math_toolkit/root_comparison/elliptic_comparison.html +++ b/doc/html/math_toolkit/root_comparison/elliptic_comparison.html @@ -4,10 +4,11 @@ Comparison of Elliptic Integral Root Finding Algorithms - + + @@ -1850,9 +1851,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_comparison/root_n_comparison.html b/doc/html/math_toolkit/root_comparison/root_n_comparison.html index 51bf8503f..67f92e92f 100644 --- a/doc/html/math_toolkit/root_comparison/root_n_comparison.html +++ b/doc/html/math_toolkit/root_comparison/root_n_comparison.html @@ -4,10 +4,11 @@ Comparison of Nth-root Finding Algorithms - + + @@ -5267,9 +5268,7 @@ And of course, compiler optimisation is crucial for speed.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples.html b/doc/html/math_toolkit/root_finding_examples.html index b76a0e12d..4f279cd35 100644 --- a/doc/html/math_toolkit/root_finding_examples.html +++ b/doc/html/math_toolkit/root_finding_examples.html @@ -4,10 +4,11 @@ Examples of Root-Finding (with and without derivatives) - + + @@ -70,9 +71,7 @@ easily.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html index 447490f5a..f67517a6a 100644 --- a/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/5th_root_eg.html @@ -4,10 +4,11 @@ Computing the Fifth Root - + + @@ -147,9 +148,7 @@ and root_finding_n_example.cpp.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html index 520f8e828..2bc257481 100644 --- a/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/cbrt_eg.html @@ -4,10 +4,11 @@ Finding the Cubed Root With and Without Derivatives - + + @@ -465,9 +466,7 @@ and reusing it, omits error handling, and does not handle negative values Full code of this example is at root_finding_example.cpp,

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html index 8382257dc..32c1ce278 100644 --- a/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html +++ b/doc/html/math_toolkit/root_finding_examples/elliptic_eg.html @@ -4,10 +4,11 @@ A More complex example - Inverting the Elliptic Integrals - + + @@ -253,9 +254,7 @@ Full code of this example is at root_elliptic_finding.cpp.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/lambda.html b/doc/html/math_toolkit/root_finding_examples/lambda.html index 291d1923f..598d98f59 100644 --- a/doc/html/math_toolkit/root_finding_examples/lambda.html +++ b/doc/html/math_toolkit/root_finding_examples/lambda.html @@ -4,10 +4,11 @@ Using C++11 Lambda's - + + @@ -59,9 +60,7 @@ Full code of this example is at root_finding_example.cpp,

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html index 71a55f318..11ce9ccc4 100644 --- a/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html +++ b/doc/html/math_toolkit/root_finding_examples/multiprecision_root.html @@ -4,10 +4,11 @@ Root-finding using Boost.Multiprecision - + + @@ -271,9 +272,7 @@ value = 2, cube root =1.2599210498948731647672106072782283505702514647015 Full code of this example is at root_finding_multiprecision_example.cpp.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/root_finding_examples/nth_root.html b/doc/html/math_toolkit/root_finding_examples/nth_root.html index 534d27ba2..1e76bdd15 100644 --- a/doc/html/math_toolkit/root_finding_examples/nth_root.html +++ b/doc/html/math_toolkit/root_finding_examples/nth_root.html @@ -4,10 +4,11 @@ Generalizing to Compute the nth root - + + @@ -168,9 +169,7 @@ Full code of this example is at root_finding_n_example.cpp.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_deriv.html b/doc/html/math_toolkit/roots_deriv.html index 47737b68f..7ace9a436 100644 --- a/doc/html/math_toolkit/roots_deriv.html +++ b/doc/html/math_toolkit/roots_deriv.html @@ -4,10 +4,11 @@ Root Finding With Derivatives: Newton-Raphson, Halley & Schröder - + + @@ -359,9 +360,7 @@ See root-finding examples.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv.html b/doc/html/math_toolkit/roots_noderiv.html index f1a80f892..8073172f1 100644 --- a/doc/html/math_toolkit/roots_noderiv.html +++ b/doc/html/math_toolkit/roots_noderiv.html @@ -4,10 +4,11 @@ Root Finding Without Derivatives - + + @@ -200,9 +201,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/TOMS748.html b/doc/html/math_toolkit/roots_noderiv/TOMS748.html index e9fd0a8e3..130d98223 100644 --- a/doc/html/math_toolkit/roots_noderiv/TOMS748.html +++ b/doc/html/math_toolkit/roots_noderiv/TOMS748.html @@ -4,10 +4,11 @@ Algorithm TOMS 748: Alefeld, Potra and Shi: Enclosing zeros of continuous functions - + + @@ -178,9 +179,7 @@ termination condition tol was satisfied.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/bisect.html b/doc/html/math_toolkit/roots_noderiv/bisect.html index 3373d3f88..6fa318bb5 100644 --- a/doc/html/math_toolkit/roots_noderiv/bisect.html +++ b/doc/html/math_toolkit/roots_noderiv/bisect.html @@ -4,10 +4,11 @@ Bisection - + + @@ -135,9 +136,7 @@ tol was satisfied.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html index 2801de063..a386408ac 100644 --- a/doc/html/math_toolkit/roots_noderiv/bracket_solve.html +++ b/doc/html/math_toolkit/roots_noderiv/bracket_solve.html @@ -4,10 +4,11 @@ Bracket and Solve Root - + + @@ -167,9 +168,7 @@ was satisfied.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/brent.html b/doc/html/math_toolkit/roots_noderiv/brent.html index e1f0e04d9..cae96c99e 100644 --- a/doc/html/math_toolkit/roots_noderiv/brent.html +++ b/doc/html/math_toolkit/roots_noderiv/brent.html @@ -4,10 +4,11 @@ Brent-Decker Algorithm - + + @@ -34,9 +35,7 @@ and solve are superior and provide equivalent functionality.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/implementation.html b/doc/html/math_toolkit/roots_noderiv/implementation.html index 04a308642..fc9b6ac03 100644 --- a/doc/html/math_toolkit/roots_noderiv/implementation.html +++ b/doc/html/math_toolkit/roots_noderiv/implementation.html @@ -4,10 +4,11 @@ Implementation - + + @@ -44,9 +45,7 @@ The implementation here is a faithful translation of this paper into C++.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/roots_noderiv/root_termination.html b/doc/html/math_toolkit/roots_noderiv/root_termination.html index 65435c89e..7aced32cb 100644 --- a/doc/html/math_toolkit/roots_noderiv/root_termination.html +++ b/doc/html/math_toolkit/roots_noderiv/root_termination.html @@ -4,10 +4,11 @@ Termination Condition Functors - + + @@ -83,9 +84,7 @@ as soon as both ends of the interval round to the same nearest integer.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding.html b/doc/html/math_toolkit/rounding.html index 1f3294404..f9c1c4d6b 100644 --- a/doc/html/math_toolkit/rounding.html +++ b/doc/html/math_toolkit/rounding.html @@ -4,10 +4,11 @@ Rounding Truncation and Integer Conversion - + + @@ -34,9 +35,7 @@ Splitting (modf) -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding/modf.html b/doc/html/math_toolkit/rounding/modf.html index 294c5a175..005f52a25 100644 --- a/doc/html/math_toolkit/rounding/modf.html +++ b/doc/html/math_toolkit/rounding/modf.html @@ -4,10 +4,11 @@ Integer and Fractional Part Splitting (modf) - + + @@ -64,9 +65,7 @@ by default this throws an instance of boost::math::rounding_error.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding/round.html b/doc/html/math_toolkit/rounding/round.html index 0bb17969c..607dfaa9c 100644 --- a/doc/html/math_toolkit/rounding/round.html +++ b/doc/html/math_toolkit/rounding/round.html @@ -4,10 +4,11 @@ Rounding Functions - + + @@ -64,9 +65,7 @@ by default this throws an instance of boost::math::rounding_error.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/rounding/trunc.html b/doc/html/math_toolkit/rounding/trunc.html index 4287e8d47..ca124c9eb 100644 --- a/doc/html/math_toolkit/rounding/trunc.html +++ b/doc/html/math_toolkit/rounding/trunc.html @@ -4,10 +4,11 @@ Truncation Functions - + + @@ -66,9 +67,7 @@ by default this throws an instance of boost::math::rounding_error.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/runs_test.html b/doc/html/math_toolkit/runs_test.html index 6c759cc02..63c82ca11 100644 --- a/doc/html/math_toolkit/runs_test.html +++ b/doc/html/math_toolkit/runs_test.html @@ -4,10 +4,11 @@ Runs tests - + + @@ -212,9 +213,7 @@ BMRunsAboveAndBelowThreshold<double>_BigO5.59N5.59N -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta.html b/doc/html/math_toolkit/sf_beta.html index f43596808..25d9d56c6 100644 --- a/doc/html/math_toolkit/sf_beta.html +++ b/doc/html/math_toolkit/sf_beta.html @@ -4,10 +4,11 @@ Beta Functions - + + @@ -36,9 +37,7 @@ Incomplete Beta Function -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/beta_derivative.html b/doc/html/math_toolkit/sf_beta/beta_derivative.html index 5ffe5563f..ebde10061 100644 --- a/doc/html/math_toolkit/sf_beta/beta_derivative.html +++ b/doc/html/math_toolkit/sf_beta/beta_derivative.html @@ -4,10 +4,11 @@ Derivative of the Incomplete Beta Function - + + @@ -84,9 +85,7 @@ the documentation for that function for more information.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/beta_function.html b/doc/html/math_toolkit/sf_beta/beta_function.html index 14e9e9245..2795fbd41 100644 --- a/doc/html/math_toolkit/sf_beta/beta_function.html +++ b/doc/html/math_toolkit/sf_beta/beta_function.html @@ -4,10 +4,11 @@ Beta - + + @@ -286,9 +287,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/ibeta_function.html b/doc/html/math_toolkit/sf_beta/ibeta_function.html index 2ff888003..9605cf3cd 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_function.html @@ -4,10 +4,11 @@ Incomplete Beta Functions - + + @@ -882,9 +883,7 @@ and Morris TOMS 708 paper.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html index a506ec68e..61648a563 100644 --- a/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html +++ b/doc/html/math_toolkit/sf_beta/ibeta_inv_function.html @@ -4,10 +4,11 @@ The Incomplete Beta Function Inverses - + + @@ -904,9 +905,7 @@ are required to find the root.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_erf.html b/doc/html/math_toolkit/sf_erf.html index e3daeff4a..06ffa7d06 100644 --- a/doc/html/math_toolkit/sf_erf.html +++ b/doc/html/math_toolkit/sf_erf.html @@ -4,10 +4,11 @@ Error Functions - + + @@ -32,9 +33,7 @@
    Error Function Inverses
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_erf/error_function.html b/doc/html/math_toolkit/sf_erf/error_function.html index 1a743cdc6..90d310bfc 100644 --- a/doc/html/math_toolkit/sf_erf/error_function.html +++ b/doc/html/math_toolkit/sf_erf/error_function.html @@ -4,10 +4,11 @@ Error Function erf and complement erfc - + + @@ -523,9 +524,7 @@ z)) / z;

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_erf/error_inv.html b/doc/html/math_toolkit/sf_erf/error_inv.html index 5418bfddd..5847f551d 100644 --- a/doc/html/math_toolkit/sf_erf/error_inv.html +++ b/doc/html/math_toolkit/sf_erf/error_inv.html @@ -4,10 +4,11 @@ Error Function Inverses - + + @@ -358,9 +359,7 @@ that the tail goes on for a very long way indeed).

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma.html b/doc/html/math_toolkit/sf_gamma.html index c637e057d..72a67095d 100644 --- a/doc/html/math_toolkit/sf_gamma.html +++ b/doc/html/math_toolkit/sf_gamma.html @@ -4,10 +4,11 @@ Gamma Functions - + + @@ -40,9 +41,7 @@ the Incomplete Gamma Function -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/digamma.html b/doc/html/math_toolkit/sf_gamma/digamma.html index 7cdbdd62d..33b09393c 100644 --- a/doc/html/math_toolkit/sf_gamma/digamma.html +++ b/doc/html/math_toolkit/sf_gamma/digamma.html @@ -4,10 +4,11 @@ Digamma - + + @@ -465,9 +466,7 @@ will not be zero.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html index 0ba6ace86..d4d84aaf7 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_derivatives.html @@ -4,10 +4,11 @@ Derivative of the Incomplete Gamma Function - + + @@ -89,9 +90,7 @@ documentation for that function for more information.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html index e981c9157..5dd4ff67c 100644 --- a/doc/html/math_toolkit/sf_gamma/gamma_ratios.html +++ b/doc/html/math_toolkit/sf_gamma/gamma_ratios.html @@ -4,10 +4,11 @@ Ratios of Gamma Functions - + + @@ -402,9 +403,7 @@ which case table lookup of factorials can be used to calculate the ratio.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/igamma.html b/doc/html/math_toolkit/sf_gamma/igamma.html index 86ab20d95..9ab91403e 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma.html +++ b/doc/html/math_toolkit/sf_gamma/igamma.html @@ -4,10 +4,11 @@ Incomplete Gamma Functions - + + @@ -997,9 +998,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/igamma_inv.html b/doc/html/math_toolkit/sf_gamma/igamma_inv.html index 98b281a94..b438558e9 100644 --- a/doc/html/math_toolkit/sf_gamma/igamma_inv.html +++ b/doc/html/math_toolkit/sf_gamma/igamma_inv.html @@ -4,10 +4,11 @@ Incomplete Gamma Function Inverses - + + @@ -607,9 +608,7 @@ so, the root is usually found in fewer than 10 iterations.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/lgamma.html b/doc/html/math_toolkit/sf_gamma/lgamma.html index 1e2f2977f..dad6cac67 100644 --- a/doc/html/math_toolkit/sf_gamma/lgamma.html +++ b/doc/html/math_toolkit/sf_gamma/lgamma.html @@ -4,10 +4,11 @@ Log Gamma - + + @@ -476,9 +477,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/polygamma.html b/doc/html/math_toolkit/sf_gamma/polygamma.html index f9ef2e753..6c43abb36 100644 --- a/doc/html/math_toolkit/sf_gamma/polygamma.html +++ b/doc/html/math_toolkit/sf_gamma/polygamma.html @@ -4,10 +4,11 @@ Polygamma - + + @@ -401,9 +402,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/tgamma.html b/doc/html/math_toolkit/sf_gamma/tgamma.html index cff1526f0..32a381573 100644 --- a/doc/html/math_toolkit/sf_gamma/tgamma.html +++ b/doc/html/math_toolkit/sf_gamma/tgamma.html @@ -4,10 +4,11 @@ Gamma - + + @@ -518,9 +519,7 @@ can be used directly.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_gamma/trigamma.html b/doc/html/math_toolkit/sf_gamma/trigamma.html index 0f97aaa97..ec708a042 100644 --- a/doc/html/math_toolkit/sf_gamma/trigamma.html +++ b/doc/html/math_toolkit/sf_gamma/trigamma.html @@ -4,10 +4,11 @@ Trigamma - + + @@ -210,9 +211,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_implementation.html b/doc/html/math_toolkit/sf_implementation.html index 6d5b9d578..f73be55a4 100644 --- a/doc/html/math_toolkit/sf_implementation.html +++ b/doc/html/math_toolkit/sf_implementation.html @@ -4,10 +4,11 @@ Additional Implementation Notes - + + @@ -843,9 +844,7 @@ done enhanced and now reasonably mature and usable, by Paul A. Bristow, is at .\boost-sandbox\SOC\2007\visualization).

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly.html b/doc/html/math_toolkit/sf_poly.html index 6cd11175b..09e69033a 100644 --- a/doc/html/math_toolkit/sf_poly.html +++ b/doc/html/math_toolkit/sf_poly.html @@ -4,10 +4,11 @@ Polynomials - + + @@ -41,9 +42,7 @@
    Jacobi Polynomials
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html index 06124f7ee..a052b6397 100644 --- a/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html +++ b/doc/html/math_toolkit/sf_poly/cardinal_b_splines.html @@ -4,10 +4,11 @@ Cardinal B-splines - + + @@ -205,9 +206,7 @@ -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/chebyshev.html b/doc/html/math_toolkit/sf_poly/chebyshev.html index 089a304cf..bfeb0ceff 100644 --- a/doc/html/math_toolkit/sf_poly/chebyshev.html +++ b/doc/html/math_toolkit/sf_poly/chebyshev.html @@ -4,10 +4,11 @@ Chebyshev Polynomials - + + @@ -243,9 +244,7 @@ in the constructor.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/gegenbauer.html b/doc/html/math_toolkit/sf_poly/gegenbauer.html index 0375bd042..4833c8912 100644 --- a/doc/html/math_toolkit/sf_poly/gegenbauer.html +++ b/doc/html/math_toolkit/sf_poly/gegenbauer.html @@ -4,10 +4,11 @@ Gegenbauer Polynomials - + + @@ -149,9 +150,7 @@ In this case, only the zeroth Gegenbauer polynomial is nonzero.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/hermite.html b/doc/html/math_toolkit/sf_poly/hermite.html index 932ebe83b..fcc095a1a 100644 --- a/doc/html/math_toolkit/sf_poly/hermite.html +++ b/doc/html/math_toolkit/sf_poly/hermite.html @@ -4,10 +4,11 @@ Hermite Polynomials - + + @@ -227,9 +228,7 @@ error near one of the roots of the polynomials.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/jacobi.html b/doc/html/math_toolkit/sf_poly/jacobi.html index 5abeaccf3..bf83420bf 100644 --- a/doc/html/math_toolkit/sf_poly/jacobi.html +++ b/doc/html/math_toolkit/sf_poly/jacobi.html @@ -4,10 +4,11 @@ Jacobi Polynomials - + + @@ -91,9 +92,7 @@ rising.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/laguerre.html b/doc/html/math_toolkit/sf_poly/laguerre.html index 8297c8099..fc1b4f855 100644 --- a/doc/html/math_toolkit/sf_poly/laguerre.html +++ b/doc/html/math_toolkit/sf_poly/laguerre.html @@ -4,10 +4,11 @@ Laguerre (and Associated) Polynomials - + + @@ -370,9 +371,7 @@ error near one of the roots of the polynomials.

    -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/legendre.html b/doc/html/math_toolkit/sf_poly/legendre.html index aeb73ceb8..c1a3ed639 100644 --- a/doc/html/math_toolkit/sf_poly/legendre.html +++ b/doc/html/math_toolkit/sf_poly/legendre.html @@ -4,10 +4,11 @@ Legendre (and Associated) Polynomials - + + @@ -637,9 +638,7 @@ error near one of the roots of the polynomials.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html index fbe5f02e6..fc96a1e7c 100644 --- a/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html +++ b/doc/html/math_toolkit/sf_poly/legendre_stieltjes.html @@ -4,10 +4,11 @@ Legendre-Stieltjes Polynomials - + + @@ -124,9 +125,7 @@ doublenorm=std::sqrt(E.norm_sq()); -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sf_poly/sph_harm.html b/doc/html/math_toolkit/sf_poly/sph_harm.html index 5621e622e..f859df972 100644 --- a/doc/html/math_toolkit/sf_poly/sph_harm.html +++ b/doc/html/math_toolkit/sf_poly/sph_harm.html @@ -4,10 +4,11 @@ Spherical Harmonics - + + @@ -318,9 +319,7 @@ calculate values near the roots of the associated Legendre functions.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sign_functions.html b/doc/html/math_toolkit/sign_functions.html index 178c7130c..75aea5307 100644 --- a/doc/html/math_toolkit/sign_functions.html +++ b/doc/html/math_toolkit/sign_functions.html @@ -4,10 +4,11 @@ Sign Manipulation Functions - + + @@ -232,9 +233,7 @@ -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/signal_statistics.html b/doc/html/math_toolkit/signal_statistics.html index 5a2a56f93..f598764af 100644 --- a/doc/html/math_toolkit/signal_statistics.html +++ b/doc/html/math_toolkit/signal_statistics.html @@ -4,10 +4,11 @@ Signal Statistics - + + @@ -316,9 +317,7 @@ -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc.html b/doc/html/math_toolkit/sinc.html index c442a3b37..73313eb81 100644 --- a/doc/html/math_toolkit/sinc.html +++ b/doc/html/math_toolkit/sinc.html @@ -4,10 +4,11 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions - + + @@ -34,9 +35,7 @@
    sinhc_pi
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc/sinc_overview.html b/doc/html/math_toolkit/sinc/sinc_overview.html index 56953b2aa..54054a77b 100644 --- a/doc/html/math_toolkit/sinc/sinc_overview.html +++ b/doc/html/math_toolkit/sinc/sinc_overview.html @@ -4,10 +4,11 @@ Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview - + + @@ -66,9 +67,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc/sinc_pi.html b/doc/html/math_toolkit/sinc/sinc_pi.html index a2c082f21..1d00a1220 100644 --- a/doc/html/math_toolkit/sinc/sinc_pi.html +++ b/doc/html/math_toolkit/sinc/sinc_pi.html @@ -4,10 +4,11 @@ sinc_pi - + + @@ -62,9 +63,7 @@ documentation for more details.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/sinc/sinhc_pi.html b/doc/html/math_toolkit/sinc/sinhc_pi.html index 774c15786..5aa54574e 100644 --- a/doc/html/math_toolkit/sinc/sinhc_pi.html +++ b/doc/html/math_toolkit/sinc/sinhc_pi.html @@ -4,10 +4,11 @@ sinhc_pi - + + @@ -67,9 +68,7 @@

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/spec.html b/doc/html/math_toolkit/spec.html index 7543862c0..9fd7b1b0d 100644 --- a/doc/html/math_toolkit/spec.html +++ b/doc/html/math_toolkit/spec.html @@ -4,10 +4,11 @@ Quaternion Specializations - + + @@ -173,9 +174,7 @@ }// namespace boost -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/special_tut.html b/doc/html/math_toolkit/special_tut.html index 36ca6fee2..732220d71 100644 --- a/doc/html/math_toolkit/special_tut.html +++ b/doc/html/math_toolkit/special_tut.html @@ -4,10 +4,11 @@ Tutorial: How to Write a New Special Function - + + @@ -32,9 +33,7 @@
    Testing
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/special_tut/special_tut_impl.html b/doc/html/math_toolkit/special_tut/special_tut_impl.html index c85aa5a77..9abe4d116 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_impl.html +++ b/doc/html/math_toolkit/special_tut/special_tut_impl.html @@ -4,10 +4,11 @@ Implementation - + + @@ -371,9 +372,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/special_tut/special_tut_test.html b/doc/html/math_toolkit/special_tut/special_tut_test.html index 06bbed71e..22f8c4de9 100644 --- a/doc/html/math_toolkit/special_tut/special_tut_test.html +++ b/doc/html/math_toolkit/special_tut/special_tut_test.html @@ -4,10 +4,11 @@ Testing - + + @@ -506,9 +507,7 @@ and follow their examples.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/specified_typedefs.html b/doc/html/math_toolkit/specified_typedefs.html index f71cab8f0..18f6e0fdd 100644 --- a/doc/html/math_toolkit/specified_typedefs.html +++ b/doc/html/math_toolkit/specified_typedefs.html @@ -4,10 +4,11 @@ Overview - + + @@ -89,9 +90,7 @@ distribution as an example of a statistical distribution from Boost.Math.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/standalone.html b/doc/html/math_toolkit/standalone.html index 92689749f..fbe0b4733 100644 --- a/doc/html/math_toolkit/standalone.html +++ b/doc/html/math_toolkit/standalone.html @@ -4,10 +4,11 @@ Standalone Usage - + + @@ -67,9 +68,7 @@ bleeding edge code (develop branch).

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut.html b/doc/html/math_toolkit/stat_tut.html index 5727011c1..e35cfb5ce 100644 --- a/doc/html/math_toolkit/stat_tut.html +++ b/doc/html/math_toolkit/stat_tut.html @@ -4,10 +4,11 @@ Statistical Distributions Tutorial - + + @@ -137,9 +138,7 @@ few worked examples of applying the library to statistical tests.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/dist_params.html b/doc/html/math_toolkit/stat_tut/dist_params.html index 378c2c0e1..16eb43bc9 100644 --- a/doc/html/math_toolkit/stat_tut/dist_params.html +++ b/doc/html/math_toolkit/stat_tut/dist_params.html @@ -4,10 +4,11 @@ Discrete Probability Distributions - + + @@ -81,9 +82,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview.html b/doc/html/math_toolkit/stat_tut/overview.html index 958650e21..afc8c2a66 100644 --- a/doc/html/math_toolkit/stat_tut/overview.html +++ b/doc/html/math_toolkit/stat_tut/overview.html @@ -4,10 +4,11 @@ Overview of Statistical Distributions - + + @@ -41,9 +42,7 @@
    Summary
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/complements.html b/doc/html/math_toolkit/stat_tut/overview/complements.html index 698fef80c..f4bb058c7 100644 --- a/doc/html/math_toolkit/stat_tut/overview/complements.html +++ b/doc/html/math_toolkit/stat_tut/overview/complements.html @@ -4,10 +4,11 @@ Complements are supported too - and when to use them - + + @@ -181,9 +182,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/generic.html b/doc/html/math_toolkit/stat_tut/overview/generic.html index e3f040c67..0f84ebd4e 100644 --- a/doc/html/math_toolkit/stat_tut/overview/generic.html +++ b/doc/html/math_toolkit/stat_tut/overview/generic.html @@ -4,10 +4,11 @@ Generic operations common to all distributions are non-member functions - + + @@ -238,9 +239,7 @@
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/headers.html b/doc/html/math_toolkit/stat_tut/overview/headers.html index a1a78fa5d..28de31003 100644 --- a/doc/html/math_toolkit/stat_tut/overview/headers.html +++ b/doc/html/math_toolkit/stat_tut/overview/headers.html @@ -4,10 +4,11 @@ Headers and Namespaces - + + @@ -60,9 +61,7 @@

    - - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/objects.html b/doc/html/math_toolkit/stat_tut/overview/objects.html index 6df398453..1d04da942 100644 --- a/doc/html/math_toolkit/stat_tut/overview/objects.html +++ b/doc/html/math_toolkit/stat_tut/overview/objects.html @@ -4,10 +4,11 @@ Distributions are Objects - + + @@ -116,9 +117,7 @@ and quantiles etc for these distributions.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/parameters.html b/doc/html/math_toolkit/stat_tut/overview/parameters.html index 4f1280ee2..3c363c1a5 100644 --- a/doc/html/math_toolkit/stat_tut/overview/parameters.html +++ b/doc/html/math_toolkit/stat_tut/overview/parameters.html @@ -4,10 +4,11 @@ Parameters can be calculated - + + @@ -54,9 +55,7 @@ sample size.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/overview/summary.html b/doc/html/math_toolkit/stat_tut/overview/summary.html index 2771da5ab..cd04f51e6 100644 --- a/doc/html/math_toolkit/stat_tut/overview/summary.html +++ b/doc/html/math_toolkit/stat_tut/overview/summary.html @@ -4,10 +4,11 @@ Summary - + + @@ -56,9 +57,7 @@ Now that you have the basics, the next section looks at some worked examples.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/variates.html b/doc/html/math_toolkit/stat_tut/variates.html index 851e1afca..9f782b593 100644 --- a/doc/html/math_toolkit/stat_tut/variates.html +++ b/doc/html/math_toolkit/stat_tut/variates.html @@ -4,10 +4,11 @@ Random Variates and Distribution Parameters - + + @@ -57,9 +58,7 @@
    pdf(binomial_distribution<RealType>(n, p), k);
     
    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg.html b/doc/html/math_toolkit/stat_tut/weg.html index 404cd9be6..d73cbd2cf 100644 --- a/doc/html/math_toolkit/stat_tut/weg.html +++ b/doc/html/math_toolkit/stat_tut/weg.html @@ -4,10 +4,11 @@ Worked Examples - + + @@ -110,9 +111,7 @@ from Within C# -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html index ff0fee7f8..4ce94ce3b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg.html @@ -4,10 +4,11 @@ Binomial Distribution Examples - + + @@ -42,9 +43,7 @@ Distribution.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html index 535ab436a..64a8def68 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_conf.html @@ -4,10 +4,11 @@ Calculating Confidence Limits on the Frequency of Occurrence for a Binomial Distribution - + + @@ -222,9 +223,7 @@ _______________________________________________________________________ small.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html index 07d7eda55..fd49d7d12 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binom_size_eg.html @@ -4,10 +4,11 @@ Estimating Sample Sizes for a Binomial Distribution. - + + @@ -141,9 +142,7 @@ ____________________________ chance of no failure).

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html index 6765aad9a..5d3089be1 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_coinflip_example.html @@ -4,10 +4,11 @@ Binomial Coin-Flipping Example - + + @@ -261,9 +262,7 @@ Probability of getting up to (<=) heads 10 1 or 1 in 1, or 100% -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html index a526b64fa..ba0ddd874 100644 --- a/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/binom_eg/binomial_quiz_example.html @@ -4,10 +4,11 @@ Binomial Quiz Example - + + @@ -439,9 +440,7 @@ If guessing then percentiles 1 to 99% will get 0 to 7.788 right. for full source code and output.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html index ac17f35f5..5254fa938 100644 --- a/doc/html/math_toolkit/stat_tut/weg/c_sharp.html +++ b/doc/html/math_toolkit/stat_tut/weg/c_sharp.html @@ -4,10 +4,11 @@ Using the Distributions from Within C# - + + @@ -39,9 +40,7 @@ properties.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html index d4ca42e55..02fe70434 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg.html @@ -4,10 +4,11 @@ Chi Squared Distribution Examples - + + @@ -36,9 +37,7 @@ the Required Sample Sizes for a Chi-Square Test for the Standard Deviation -
    - - -
    +

    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html index f764ce6d5..29afb1650 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_intervals.html @@ -4,10 +4,11 @@ Confidence Intervals on the Standard Deviation - + + @@ -231,9 +232,7 @@ ________________________________________ convincing + or -1% confidence.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html index fd09f65be..2058f4332 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_size.html @@ -4,10 +4,11 @@ Estimating the Required Sample Sizes for a Chi-Square Test for the Standard Deviation - + + @@ -163,9 +164,7 @@ _______________________________________________________________ that we would need a sample size of 51.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html index bd410f10e..49879499b 100644 --- a/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/cs_eg/chi_sq_test.html @@ -4,10 +4,11 @@ Chi-Square Test for the Standard Deviation - + + @@ -278,9 +279,7 @@ Standard Deviation > 10.000 ACCEPTED and so we reject the manufacturers claim.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html index 3755da6ed..2e84f7851 100644 --- a/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/dist_construct_eg.html @@ -4,10 +4,11 @@ Distribution Construction Examples - + + @@ -329,9 +330,7 @@ error C3861: 'mybetad0': identifier not found for full source code.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/error_eg.html b/doc/html/math_toolkit/stat_tut/weg/error_eg.html index 7bb87bba7..c66c630da 100644 --- a/doc/html/math_toolkit/stat_tut/weg/error_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/error_eg.html @@ -4,10 +4,11 @@ Error Handling Example - + + @@ -187,9 +188,7 @@ errno is set to: 33
    - - - -
    +
    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/f_eg.html b/doc/html/math_toolkit/stat_tut/weg/f_eg.html index ba5b54bae..ed93aa136 100644 --- a/doc/html/math_toolkit/stat_tut/weg/f_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/f_eg.html @@ -4,10 +4,11 @@ F Distribution Examples - + + @@ -310,9 +311,7 @@ Standard deviation 1 is greater than standard deviation 2 ACCEPTED conclude that there is a change for the better in our standard deviation.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg.html index 92a469107..48f453a52 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg.html @@ -4,10 +4,11 @@ Find Location and Scale Examples - + + @@ -36,9 +37,7 @@ mean and standard deviation example -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html index 76a23c672..f1bc26bdc 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_location_eg.html @@ -4,10 +4,11 @@ Find Location (Mean) Example - + + @@ -171,9 +172,7 @@ Normal distribution with mean = 0.355146 has fraction <= 2 = 0.95 Normal distribution with mean = 0.355146 has fraction > 2 = 0.05 -
    - - -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html index ec32943ca..d359bc900 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_mean_and_sd_eg.html @@ -4,10 +4,11 @@ Find mean and standard deviation example - + + @@ -436,9 +437,7 @@ for full source code & appended program output.

    -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html index 4a60a24b4..d7d8768f7 100644 --- a/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/find_eg/find_scale_eg.html @@ -4,10 +4,11 @@ Find Scale (Standard Deviation) Example - + + @@ -190,9 +191,7 @@ Normal distribution with mean = 0.946339 has fraction <= -2 = 0.001 Normal distribution with mean = 0.946339 has fraction > -2 = 0.999 -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html index dbbe89e65..72d5ba46e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/geometric_eg.html @@ -4,10 +4,11 @@ Geometric Distribution Examples - + + @@ -403,9 +404,7 @@ negative_binomial confidence interval example.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html index 1d651f752..01a346f6a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/inverse_chi_squared_eg.html @@ -4,10 +4,11 @@ Inverse Chi-Squared Distribution Bayes Example - + + @@ -342,9 +343,7 @@ See the full source C++ of this example at ../../example/inverse_chi_squared_bayes_eg.cpp

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/nag_library.html b/doc/html/math_toolkit/stat_tut/weg/nag_library.html index d98301e8d..f07286527 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nag_library.html +++ b/doc/html/math_toolkit/stat_tut/weg/nag_library.html @@ -4,10 +4,11 @@ Comparison with C, R, FORTRAN-style Free Functions - + + @@ -97,9 +98,7 @@ for details.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html index 668f53b4a..0da80791a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg.html @@ -4,10 +4,11 @@ Non Central Chi Squared Example - + + @@ -34,9 +35,7 @@ Chi Squared Distribution.)

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html index c5c20d8b4..c89bfd89f 100644 --- a/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/nccs_eg/nccs_power_eg.html @@ -4,10 +4,11 @@ Tables of the power function of the chi2 test. - + + @@ -1268,9 +1269,7 @@ test at the 5% significance for the full C++ source code.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html index f663fd70c..c02fe4902 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg.html @@ -4,10 +4,11 @@ Negative Binomial Distribution Examples - + + @@ -43,9 +44,7 @@ Binomial Distribution.)

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html index b8799de46..ee043e030 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_conf.html @@ -4,10 +4,11 @@ Calculating Confidence Limits on the Frequency of Occurrence for the Negative Binomial Distribution - + + @@ -202,9 +203,7 @@ ___________________________________________ value of 0.1.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html index 6bf357dc4..5833bcb19 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/neg_binom_size_eg.html @@ -4,10 +4,11 @@ Estimating Sample Sizes for the Negative Binomial. - + + @@ -188,9 +189,7 @@ ____________________________ certainty.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html index 4792c2c0a..5e84a9981 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example1.html @@ -4,10 +4,11 @@ Negative Binomial Sales Quota Example. - + + @@ -476,9 +477,7 @@ If confidence of meeting quota is 0.95, then finishing house is 21 Number of failures argument is -1, but must be >= 0 ! -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html index eef70c672..47a93aa3d 100644 --- a/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html +++ b/doc/html/math_toolkit/stat_tut/weg/neg_binom_eg/negative_binomial_example2.html @@ -4,10 +4,11 @@ Negative Binomial Table Printing Example. - + + @@ -117,9 +118,7 @@ 63,0.000246103187649585660.99882473495070978 -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example.html b/doc/html/math_toolkit/stat_tut/weg/normal_example.html index 22f05bab2..e5ef09bca 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example.html @@ -4,10 +4,11 @@ Normal Distribution Examples - + + @@ -34,9 +35,7 @@ Distribution.)

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html index 018b093c5..a67cb4894 100644 --- a/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html +++ b/doc/html/math_toolkit/stat_tut/weg/normal_example/normal_misc.html @@ -4,10 +4,11 @@ Some Miscellaneous Examples of the Normal (Gaussian) Distribution - + + @@ -499,9 +500,7 @@ Fraction 3 standard deviations within either side of mean is 0.997300203936740 cout<<"95% of bolts are shorter than "<<quantile(bolts,0.95)<<endl; -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg.html b/doc/html/math_toolkit/stat_tut/weg/st_eg.html index a20ce7313..453a6e090 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg.html @@ -4,10 +4,11 @@ Student's t Distribution Examples - + + @@ -41,9 +42,7 @@ two paired samples with the Student's t distribution -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html index 32d902243..4a84eb377 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/paired_st.html @@ -4,10 +4,11 @@ Comparing two paired samples with the Student's t distribution - + + @@ -62,9 +63,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html index e992c0276..30456616a 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_intervals.html @@ -4,10 +4,11 @@ Calculating confidence intervals on the mean with the Students-t distribution - + + @@ -249,9 +250,7 @@ confident in the location of the mean.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html index 5ad2834d0..9b15a9f9e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_size.html @@ -4,10 +4,11 @@ Estimating how large a sample size would have to become in order to give a significant Students-t test result with a single sample test - + + @@ -160,9 +161,7 @@ _______________________________________________________________ example at the 95% level, 14 measurements in total for a two-sided test.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html index 59e12d32c..dea5a807e 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/tut_mean_test.html @@ -4,10 +4,11 @@ Testing a sample mean for difference from a "true" mean - + + @@ -315,9 +316,7 @@ Mean > 38.900 REJECTED more accurate data), is needed for a more convincing conclusion.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html index 1dc8c6166..fee1de4b2 100644 --- a/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html +++ b/doc/html/math_toolkit/stat_tut/weg/st_eg/two_sample_students_t.html @@ -4,10 +4,11 @@ Comparing the means of two samples with the Students-t test - + + @@ -343,9 +344,7 @@ than Japanese models.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/t_test.html b/doc/html/math_toolkit/t_test.html index 5cef11e3e..47d5e49d2 100644 --- a/doc/html/math_toolkit/t_test.html +++ b/doc/html/math_toolkit/t_test.html @@ -4,10 +4,11 @@ t-tests - + + @@ -254,9 +255,7 @@ OneSampleTTestKnownMeanAndVariance<double>207ns -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/threads.html b/doc/html/math_toolkit/threads.html index 38e4a88ce..76ae2574c 100644 --- a/doc/html/math_toolkit/threads.html +++ b/doc/html/math_toolkit/threads.html @@ -4,10 +4,11 @@ Thread Safety - + + @@ -33,9 +34,7 @@ removed.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tr1_ref.html b/doc/html/math_toolkit/tr1_ref.html index af9772bac..4253638b2 100644 --- a/doc/html/math_toolkit/tr1_ref.html +++ b/doc/html/math_toolkit/tr1_ref.html @@ -4,10 +4,11 @@ TR1 C Functions Quick Reference - + + @@ -540,9 +541,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tradoffs.html b/doc/html/math_toolkit/tradoffs.html index dd301a9f8..f5608e235 100644 --- a/doc/html/math_toolkit/tradoffs.html +++ b/doc/html/math_toolkit/tradoffs.html @@ -4,10 +4,11 @@ Trading Accuracy for Performance - + + @@ -2549,9 +2550,7 @@
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/trans.html b/doc/html/math_toolkit/trans.html index 8aa5404b1..6ada811a9 100644 --- a/doc/html/math_toolkit/trans.html +++ b/doc/html/math_toolkit/trans.html @@ -4,10 +4,11 @@ Quaternion Transcendentals - + + @@ -125,9 +126,7 @@ Computes the n-th power of the quaternion q.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/trapezoidal.html b/doc/html/math_toolkit/trapezoidal.html index ea30cf447..4659213fb 100644 --- a/doc/html/math_toolkit/trapezoidal.html +++ b/doc/html/math_toolkit/trapezoidal.html @@ -4,10 +4,11 @@ Trapezoidal Quadrature - + + @@ -226,9 +227,7 @@ (2003): 265-275.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tuning.html b/doc/html/math_toolkit/tuning.html index 2698db5c5..e37daaa18 100644 --- a/doc/html/math_toolkit/tuning.html +++ b/doc/html/math_toolkit/tuning.html @@ -4,10 +4,11 @@ Performance Tuning Macros - + + @@ -7909,9 +7910,7 @@
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial.html b/doc/html/math_toolkit/tutorial.html index 9f9d224d9..9ef444129 100644 --- a/doc/html/math_toolkit/tutorial.html +++ b/doc/html/math_toolkit/tutorial.html @@ -4,10 +4,11 @@ Tutorial - + + @@ -34,9 +35,7 @@ Types -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial/non_templ.html b/doc/html/math_toolkit/tutorial/non_templ.html index b4ffe3c88..6a798c93e 100644 --- a/doc/html/math_toolkit/tutorial/non_templ.html +++ b/doc/html/math_toolkit/tutorial/non_templ.html @@ -4,10 +4,11 @@ Use in non-template code - + + @@ -67,9 +68,7 @@ Some examples of using constants are at constants_eg1.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial/templ.html b/doc/html/math_toolkit/tutorial/templ.html index 77efab435..5c3c37052 100644 --- a/doc/html/math_toolkit/tutorial/templ.html +++ b/doc/html/math_toolkit/tutorial/templ.html @@ -4,10 +4,11 @@ Use in template code - + + @@ -138,9 +139,7 @@
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/tutorial/user_def.html b/doc/html/math_toolkit/tutorial/user_def.html index fb8e3facf..ce6f9150a 100644 --- a/doc/html/math_toolkit/tutorial/user_def.html +++ b/doc/html/math_toolkit/tutorial/user_def.html @@ -4,10 +4,11 @@ Use With User-Defined Types - + + @@ -317,9 +318,7 @@ Current runtime precision indicates that the constant will be constructed from a string on each call. -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/ulps_plots.html b/doc/html/math_toolkit/ulps_plots.html index 4b468d6dc..b006e367b 100644 --- a/doc/html/math_toolkit/ulps_plots.html +++ b/doc/html/math_toolkit/ulps_plots.html @@ -4,10 +4,11 @@ ULPs Plots - + + @@ -208,9 +209,7 @@ https://blogs.mathworks.com/cleve/2017/01/23/ulps-plots-reveal-math-function-accurary/ -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/univariate_statistics.html b/doc/html/math_toolkit/univariate_statistics.html index 0ce43dadc..04b92ecc4 100644 --- a/doc/html/math_toolkit/univariate_statistics.html +++ b/doc/html/math_toolkit/univariate_statistics.html @@ -4,10 +4,11 @@ Univariate Statistics - + + @@ -523,9 +524,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/value_op.html b/doc/html/math_toolkit/value_op.html index 8485c8e06..c5b7042d2 100644 --- a/doc/html/math_toolkit/value_op.html +++ b/doc/html/math_toolkit/value_op.html @@ -4,10 +4,11 @@ Quaternion Value Operations - + + @@ -90,9 +91,7 @@ root of the Cayley norm.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/vector_barycentric.html b/doc/html/math_toolkit/vector_barycentric.html index 21a157c33..7c8241dfb 100644 --- a/doc/html/math_toolkit/vector_barycentric.html +++ b/doc/html/math_toolkit/vector_barycentric.html @@ -4,10 +4,11 @@ Vector-valued Barycentric Rational Interpolation - + + @@ -109,9 +110,7 @@ both values at once.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/wavelet_transforms.html b/doc/html/math_toolkit/wavelet_transforms.html index 64a5d58a9..353635361 100644 --- a/doc/html/math_toolkit/wavelet_transforms.html +++ b/doc/html/math_toolkit/wavelet_transforms.html @@ -4,10 +4,11 @@ Wavelet Transforms - + + @@ -90,9 +91,7 @@

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/whittaker_shannon.html b/doc/html/math_toolkit/whittaker_shannon.html index ae4ab001c..ffdea709f 100644 --- a/doc/html/math_toolkit/whittaker_shannon.html +++ b/doc/html/math_toolkit/whittaker_shannon.html @@ -4,10 +4,11 @@ Whittaker-Shannon interpolation - + + @@ -99,9 +100,7 @@ n is the number of points to interpolate.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/z_test.html b/doc/html/math_toolkit/z_test.html index 43adb19d1..139c76651 100644 --- a/doc/html/math_toolkit/z_test.html +++ b/doc/html/math_toolkit/z_test.html @@ -4,10 +4,11 @@ z-tests - + + @@ -155,9 +156,7 @@ not need to be equal.

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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/zetas.html b/doc/html/math_toolkit/zetas.html index ccb10f0ed..6985a23f7 100644 --- a/doc/html/math_toolkit/zetas.html +++ b/doc/html/math_toolkit/zetas.html @@ -4,10 +4,11 @@ Zeta Functions - + + @@ -28,9 +29,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/math_toolkit/zetas/zeta.html b/doc/html/math_toolkit/zetas/zeta.html index 8c18c4a01..16e1b91b3 100644 --- a/doc/html/math_toolkit/zetas/zeta.html +++ b/doc/html/math_toolkit/zetas/zeta.html @@ -4,10 +4,11 @@ Riemann Zeta Function - + + @@ -387,9 +388,7 @@ are of great benefit to some infinite series calculations.

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    PrevUpHomeNext diff --git a/doc/html/octonions.html b/doc/html/octonions.html index 63b22d440..e33d95f51 100644 --- a/doc/html/octonions.html +++ b/doc/html/octonions.html @@ -4,10 +4,11 @@ Chapter 17. Octonions - - + + + @@ -46,9 +47,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/overview.html b/doc/html/overview.html index 0a2f0fe4e..dfcf52c9b 100644 --- a/doc/html/overview.html +++ b/doc/html/overview.html @@ -4,10 +4,11 @@ Chapter 1. Overview - - - + + + + @@ -53,9 +54,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/perf.html b/doc/html/perf.html index 1383fdd8b..572914560 100644 --- a/doc/html/perf.html +++ b/doc/html/perf.html @@ -4,10 +4,11 @@ Chapter 22. Performance - - + + + @@ -43,9 +44,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/policy.html b/doc/html/policy.html index d1b2f9d5d..6217f4049 100644 --- a/doc/html/policy.html +++ b/doc/html/policy.html @@ -4,10 +4,11 @@ Chapter 21. Policies: Controlling Precision, Error Handling etc - - + + + @@ -72,9 +73,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/poly.html b/doc/html/poly.html index bbf641faa..95269f5ad 100644 --- a/doc/html/poly.html +++ b/doc/html/poly.html @@ -4,10 +4,11 @@ Chapter 11. Polynomials and Rational Functions - - + + + @@ -35,9 +36,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/quadrature.html b/doc/html/quadrature.html index a8f989918..20ee60ca6 100644 --- a/doc/html/quadrature.html +++ b/doc/html/quadrature.html @@ -4,10 +4,11 @@ Chapter 13. Quadrature and Differentiation - - + + + @@ -56,9 +57,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/quaternions.html b/doc/html/quaternions.html index 51d01f1bb..3ecfef471 100644 --- a/doc/html/quaternions.html +++ b/doc/html/quaternions.html @@ -4,10 +4,11 @@ Chapter 16. Quaternions - - + + + @@ -47,9 +48,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/root_finding.html b/doc/html/root_finding.html index 3e83b07fc..e7d5cb320 100644 --- a/doc/html/root_finding.html +++ b/doc/html/root_finding.html @@ -4,10 +4,11 @@ Chapter 10. Root Finding & Minimization Algorithms - - + + + @@ -116,9 +117,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/special.html b/doc/html/special.html index bd3c56e4c..37a7a6d2d 100644 --- a/doc/html/special.html +++ b/doc/html/special.html @@ -4,10 +4,11 @@ Chapter 8. Special Functions - - + + + @@ -240,9 +241,7 @@ -
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    PrevUpHomeNext diff --git a/doc/html/standalone_HTML.manifest b/doc/html/standalone_HTML.manifest index 719bb49ba..e08f31642 100644 --- a/doc/html/standalone_HTML.manifest +++ b/doc/html/standalone_HTML.manifest @@ -162,6 +162,7 @@ math_toolkit/z_test.html math_toolkit/runs_test.html math_toolkit/ljung_box.html math_toolkit/linear_regression.html +math_toolkit/chatterjee_correlation.html vector_functionals.html math_toolkit/norms.html special.html diff --git a/doc/html/statistics.html b/doc/html/statistics.html index f84711f38..38ea19d8a 100644 --- a/doc/html/statistics.html +++ b/doc/html/statistics.html @@ -4,10 +4,11 @@ Chapter 6. Statistics - - + + + @@ -37,12 +38,11 @@
    Runs tests
    The Ljung-Box Test
    Linear Regression
    +
    Chatterjee Correlation
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    PrevUpHomeNext diff --git a/doc/html/status.html b/doc/html/status.html index 5f6c96026..9bdf1a7e6 100644 --- a/doc/html/status.html +++ b/doc/html/status.html @@ -4,10 +4,11 @@ Chapter 24. Library Status - - + + + @@ -34,9 +35,7 @@ -
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    diff --git a/doc/math.qbk b/doc/math.qbk index f3374a73d..f4e80a39a 100644 --- a/doc/math.qbk +++ b/doc/math.qbk @@ -9,7 +9,7 @@ ] [authors [Agrawal, Nikhar], [Bikineev, Anton], [Borland, Matthew], [Bristow, Paul A.], [Holin, Hubert], [Guazzone, Marco], [Kormanyos, Christopher], [Lalande, Bruno], [Maddock, John], [Miller, Evan], [Murphy, Jeremy W.], [Pulver, Matthew], [Råde, Johan], [Sobotta, Benjamin], [Sewani, Gautam], [Thompson, Nicholas], [van den Berg, Thijs], [Walker, Daryle], [Zhang, Xiaogang]] [/last-revision $Date$] - [version 4.1.0] + [version 4.1.1] ] [template mathpart[id title] diff --git a/doc/overview/roadmap.qbk b/doc/overview/roadmap.qbk index 10196bcfd..b1c8b694d 100644 --- a/doc/overview/roadmap.qbk +++ b/doc/overview/roadmap.qbk @@ -8,6 +8,22 @@ All old bug reports including closed ones can be viewed on Trac Recent issues on GitHub [@https://github.com/boostorg/math/issues?utf8=%E2%9C%93&q=is%3Aissue here]. +[h4 Math-4.1.1 (Boost-1.84)] + +* Improve ccmath error detection. +* Remove use of deprecated std::numeric_limits<>::has_denorm, see [@https://github.com/boostorg/math/issues/1028 1028]. +* Correct non-convergence bug in non-central-t distribution, see [@https://github.com/boostorg/math/issues/1035 1035]. +* Adjust Bessel function approximation to [sub 1]F[sub 1] to avoid taking tgamma at a negative integer, see [@https://github.com/boostorg/math/issues/1034 1034]. +* Avoid spurious overflow and divide by zero in ibeta, see [@https://github.com/boostorg/math/issues/1006 1006]. +* Improve accuracy when using Sterling's approximation to tgamma, completes work started in [@https://github.com/boostorg/math/pull/1007 1007]. +* Fix inverse_discrete_quantile for large initial guesses, see [@https://github.com/boostorg/math/pull/1007 1007]. +* Improve Newton root finding, see [@https://github.com/boostorg/math/pull/1000 1000]. +* Fix median_absolute_deviation for non-zero centre, see [@https://github.com/boostorg/math/pull/997 997]. +* Fix up cstdfloat.hpp for gcc-14. +* Update to work for the new types declared in . +* Change hypergeometric_distribution to use 64 rather than 32 bit integers to avoid unnecessary overflow and restrictions on use. + + [h4 Math-4.1.0 (Boost-1.82)] * Added Estrin's method for polynomial evaluation.