diff --git a/doc/html/backgrounders.html b/doc/html/backgrounders.html index 8a04825f1..a42093b66 100644 --- a/doc/html/backgrounders.html +++ b/doc/html/backgrounders.html @@ -3,7 +3,7 @@
Table of Contents
-Table of Contents
-Table of Contents
-Table of Contents
-Table of Contents
-Table of Contents
-Last revised: October 26, 2019 at 09:59:59 GMT
Last revised: November 12, 2019 at 09:19:07 GMT
Table of Contents
-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
signbit
+simple_ordinary_least_squares
+ +simple_ordinary_least_squares_with_R_squared
+ +A B C D E F G H I L M N O P Q R S T U V W
A B C D E F G H I L N O P R S T U V W
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
Linear Regression
+ +Linpack Benchmark
simple_ordinary_least_squares
+ +simple_ordinary_least_squares_with_R_squared
+ +sinc_pi
Table of Contents
-Table of Contents
-Table of Contents
-- +
where Fn is the empirical cumulative @@ -180,7 +180,7 @@ give the following definition of the Anderson-Darling test statistic:
- +
This is an approximation to the quadrature sum we use as our definition. Boost.Math diff --git a/doc/html/math_toolkit/archetypes.html b/doc/html/math_toolkit/archetypes.html index 9562ad9a4..bd85f264f 100644 --- a/doc/html/math_toolkit/archetypes.html +++ b/doc/html/math_toolkit/archetypes.html @@ -3,7 +3,7 @@
- +
Then almost any root-finding algorithm will descend into a local minima rather @@ -55,7 +55,7 @@ is essentially zero:
- +
In this situation the next iteration will shoot off to infinity (assuming we're @@ -75,7 +75,7 @@ this case:
- +
An initial Newton step would take you further from the root than you started, @@ -90,7 +90,7 @@ Consider starting at z0 in this situation:
- +
The first derivative is essentially infinite, and the second close to zero diff --git a/doc/html/math_toolkit/barycentric.html b/doc/html/math_toolkit/barycentric.html index 8a1d11f21..adb818b79 100644 --- a/doc/html/math_toolkit/barycentric.html +++ b/doc/html/math_toolkit/barycentric.html @@ -3,7 +3,7 @@
This documentation aims to use of the following naming and formatting conventions. diff --git a/doc/html/math_toolkit/create.html b/doc/html/math_toolkit/create.html index 16c16d7dd..1c4a5ef22 100644 --- a/doc/html/math_toolkit/create.html +++ b/doc/html/math_toolkit/create.html @@ -3,7 +3,7 @@
are used to move φ to the range [0, π/2]. @@ -334,7 +334,7 @@
[1] I haven't been able to find a literature reference for this relation, but it appears to be the convention used by Mathematica. Intuitively diff --git a/doc/html/math_toolkit/ellint/ellint_carlson.html b/doc/html/math_toolkit/ellint/ellint_carlson.html index 5d446b730..c60717a7f 100644 --- a/doc/html/math_toolkit/ellint/ellint_carlson.html +++ b/doc/html/math_toolkit/ellint/ellint_carlson.html @@ -3,7 +3,7 @@
[5] W. J. Cody and H. C. Thacher, Jr., Rational Chebyshev approximations for the exponential integral E1(x), Math. Comp. 22 (1968), 641-649, and W. diff --git a/doc/html/math_toolkit/expint/expint_n.html b/doc/html/math_toolkit/expint/expint_n.html index 48deca227..3d2477c54 100644 --- a/doc/html/math_toolkit/expint/expint_n.html +++ b/doc/html/math_toolkit/expint/expint_n.html @@ -3,7 +3,7 @@
cpp_float
- for numerical calculations with high precision.
+ types for numerical calculations with higher precision than built-in long double.
The Boost.Multiprecision library can be used for computations requiring precision
- exceeding that of standard built-in types such as float, double and long
- double. For extended-precision calculations, Boost.Multiprecision supplies
- a template data type called cpp_dec_float. The number of decimal digits of
- precision is fixed at compile-time via template parameter.
+ exceeding that of standard built-in types such as float,
+ double and long
+ double. For extended-precision calculations,
+ Boost.Multiprecision supplies several template data types called cpp_bin_float_.
- To use these floating-point types and constants, we need some includes: + The number of decimal digits of precision is fixed at compile-time via template + parameter. +
++ To use these floating-point types and Boost.Math + collection of high-precision constants, we need some includes:
#include <boost/math/constants/constants.hpp> -#include <boost/multiprecision/cpp_dec_float.hpp> -// using boost::multiprecision::cpp_dec_float +#include <boost/multiprecision/cpp_bin_float.hpp> +// that includes some predefined typedefs that can be used thus: +// using boost::multiprecision::cpp_bin_float_quad; +// using boost::multiprecision::cpp_bin_float_50; +// using boost::multiprecision::cpp_bin_float_100; #include <iostream> #include <limits> +#include <type_traits>
So now we can demonstrate with some trivial calculations:
- Using typedef cpp_dec_float_50
+ Using typedef cpp_bin_float_50
hides the complexity of multiprecision, allows us to define variables with
50 decimal digit precision just like built-in double.
using boost::multiprecision::cpp_dec_float_50; +using boost::multiprecision::cpp_bin_float_50; -cpp_dec_float_50 seventh = cpp_dec_float_50(1) / 7; // 1 / 7 +cpp_bin_float_50 seventh = cpp_bin_float_50(1) / 7; // 1 / 7By default, output would only show the standard 6 decimal digits, so set precision to show all 50 significant digits, including any trailing zeros.
-std::cout.precision(std::numeric_limits<cpp_dec_float_50>::digits10); +std::cout.precision(std::numeric_limits<cpp_bin_float_50>::digits10); std::cout << std::showpoint << std::endl; // Append any trailing zeros. std::cout << seventh << std::endl;@@ -80,13 +89,13 @@0.14285714285714285714285714285714285714285714285714- We can also use Boost.Math constants - like π, guaranteed to be initialized with the very last bit of precision for - the floating-point type. + We can also use __math_constants like π, guaranteed to be initialized with + the very last bit of precision (Unit + in the Last Place) for the floating-point type.
-std::cout << "pi = " << boost::math::constants::pi<cpp_dec_float_50>() << std::endl; -cpp_dec_float_50 circumference = boost::math::constants::pi<cpp_dec_float_50>() * 2 * seventh; -std::cout << "c = "<< circumference << std::endl; +std::cout << "pi = " << boost::math::constants::pi<cpp_bin_float_50>() << std::endl; +cpp_bin_float_50 circumference = boost::math::constants::pi<cpp_bin_float_50>() * 2 * seventh; +std::cout << "c = " << circumference << std::endl;which outputs diff --git a/doc/html/math_toolkit/high_precision/use_ntl.html b/doc/html/math_toolkit/high_precision/use_ntl.html index 804a1d4e4..258b7bdac 100644 --- a/doc/html/math_toolkit/high_precision/use_ntl.html +++ b/doc/html/math_toolkit/high_precision/use_ntl.html @@ -3,7 +3,7 @@
Using NTL Library - + diff --git a/doc/html/math_toolkit/high_precision/using_test.html b/doc/html/math_toolkit/high_precision/using_test.html index 585936fa4..709bec375 100644 --- a/doc/html/math_toolkit/high_precision/using_test.html +++ b/doc/html/math_toolkit/high_precision/using_test.html @@ -3,7 +3,7 @@Using without expression templates for Boost.Test and others - + 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 c10982357..5fb093983 100644 --- a/doc/html/math_toolkit/high_precision/why_high_precision.html +++ b/doc/html/math_toolkit/high_precision/why_high_precision.html @@ -3,7 +3,7 @@Why use a high-precision library rather than built-in floating-point types? - + diff --git a/doc/html/math_toolkit/hints.html b/doc/html/math_toolkit/hints.html index b6697ceae..ac5cbc664 100644 --- a/doc/html/math_toolkit/hints.html +++ b/doc/html/math_toolkit/hints.html @@ -3,7 +3,7 @@Other Hints and tips - + diff --git a/doc/html/math_toolkit/history1.html b/doc/html/math_toolkit/history1.html index 3168d7fb1..0266644b2 100644 --- a/doc/html/math_toolkit/history1.html +++ b/doc/html/math_toolkit/history1.html @@ -3,7 +3,7 @@History and What's New - + diff --git a/doc/html/math_toolkit/history2.html b/doc/html/math_toolkit/history2.html index 02bc3dc4b..9f0ff88bb 100644 --- a/doc/html/math_toolkit/history2.html +++ b/doc/html/math_toolkit/history2.html @@ -3,7 +3,7 @@History and What's New - + diff --git a/doc/html/math_toolkit/hypergeometric.html b/doc/html/math_toolkit/hypergeometric.html index e94eddc05..8081a8957 100644 --- a/doc/html/math_toolkit/hypergeometric.html +++ b/doc/html/math_toolkit/hypergeometric.html @@ -3,7 +3,7 @@Hypergeometric Functions - + @@ -26,7 +26,7 @@ -+
- Hypergeometric 1F0
- Hypergeometric diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html index 2015849a9..dfe3d776d 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_0f1.html @@ -3,7 +3,7 @@
Hypergeometric 0F1 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html index 8ce170c2a..cf6d4f7ed 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f0.html @@ -3,7 +3,7 @@Hypergeometric 1F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html index c098e2155..55791e6ae 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_1f1.html @@ -3,7 +3,7 @@Hypergeometric 1F1 - + @@ -75,13 +75,13 @@ equation- +
which for |z| < 1 has the hypergeometric series expansion
- +
where (a)n denotes rising factorial. @@ -93,13 +93,13 @@ The "regularized" versions of the function return:
- +
The "log" versions of the function return:
- +
When the optional
signargument @@ -150,7 +150,7 @@- +
@@ -167,7 +167,7 @@ - +
@@ -182,7 +182,7 @@ - +
@@ -201,7 +201,7 @@ - +
@@ -327,7 +327,7 @@ errors are located: - +
@@ -377,7 +377,7 @@ distributed:- +
@@ -428,7 +428,7 @@ converge to much better than double precision.- +
@@ -479,7 +479,7 @@ with b < a and z ≈ a:- +
@@ -535,13 +535,13 @@ relation to make z positive:- +
The main series representation
- +
is used only when @@ -564,7 +564,7 @@ A&S 13.3.6 gives
- +
which is particularly useful for a ≅ b and z @@ -576,25 +576,25 @@ 13.3.7) (7)
- +
with
- +
and
- +
With Ev defined as:
- +
This approximation is especially effective when a < 0. @@ -605,13 +605,13 @@ can be used (6):
- +
For z large we have the asymptotic expansion:
- +
which is a special case of the gamma function expansion above. @@ -634,7 +634,7 @@ all positive recurrence on a via
- +
abruptly changes from stable forwards recursion to stable backwards if 2a-b+z @@ -662,7 +662,7 @@ with a reference value, or by using the Wronskian
- +
which is of course the well known Miller's method (12). diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html index 25082c75d..788b55392 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_2f0.html @@ -3,7 +3,7 @@
Hypergeometric 2F0 - + diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html index 56276771c..2b863ad19 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_pfq.html @@ -3,7 +3,7 @@Hypergeometric pFq - + @@ -66,7 +66,7 @@ returns the result of:- +
It is most naturally used via initializer lists as in: diff --git a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html index 2717bce81..d997bf8e4 100644 --- a/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html +++ b/doc/html/math_toolkit/hypergeometric/hypergeometric_refs.html @@ -3,7 +3,7 @@
Hypergeometric References - + diff --git a/doc/html/math_toolkit/internals.html b/doc/html/math_toolkit/internals.html index 6b144f357..075d668b7 100644 --- a/doc/html/math_toolkit/internals.html +++ b/doc/html/math_toolkit/internals.html @@ -3,7 +3,7 @@Internal tools - + @@ -26,7 +26,7 @@ -+
- Series Evaluation
- Continued Fraction Evaluation
- Tools For 3-Term Recurrence diff --git a/doc/html/math_toolkit/internals/cf.html b/doc/html/math_toolkit/internals/cf.html index 72fb7ebeb..b50be1024 100644 --- a/doc/html/math_toolkit/internals/cf.html +++ b/doc/html/math_toolkit/internals/cf.html @@ -3,7 +3,7 @@
Continued Fraction Evaluation - + diff --git a/doc/html/math_toolkit/internals/error_test.html b/doc/html/math_toolkit/internals/error_test.html index 3a5bcb62f..19cd98b24 100644 --- a/doc/html/math_toolkit/internals/error_test.html +++ b/doc/html/math_toolkit/internals/error_test.html @@ -3,7 +3,7 @@Relative Error and Testing - + diff --git a/doc/html/math_toolkit/internals/minimax.html b/doc/html/math_toolkit/internals/minimax.html index b5323db61..c5e7f96c3 100644 --- a/doc/html/math_toolkit/internals/minimax.html +++ b/doc/html/math_toolkit/internals/minimax.html @@ -3,7 +3,7 @@Minimax Approximations and the Remez Algorithm - + diff --git a/doc/html/math_toolkit/internals/recurrence.html b/doc/html/math_toolkit/internals/recurrence.html index f65f303cb..e3ed02a76 100644 --- a/doc/html/math_toolkit/internals/recurrence.html +++ b/doc/html/math_toolkit/internals/recurrence.html @@ -3,7 +3,7 @@Tools For 3-Term Recurrence Relations - + @@ -83,7 +83,7 @@ written in this form is:- +
Therefore, given local variables x and v @@ -97,7 +97,7 @@ of the final term:
- +
And this could be encoded as: @@ -116,7 +116,7 @@ at some location n, then returns the ratio:
- +
This calculation is stable only if recurrence is stable in the backwards @@ -141,7 +141,7 @@ then returns the ratio:
- +
This calculation is stable only if recurrence is stable in the forwards direction. diff --git a/doc/html/math_toolkit/internals/series_evaluation.html b/doc/html/math_toolkit/internals/series_evaluation.html index b6abd87d4..38a3508c8 100644 --- a/doc/html/math_toolkit/internals/series_evaluation.html +++ b/doc/html/math_toolkit/internals/series_evaluation.html @@ -3,7 +3,7 @@
Series Evaluation - + diff --git a/doc/html/math_toolkit/internals/test_data.html b/doc/html/math_toolkit/internals/test_data.html index 01b70d5b3..cdeb03574 100644 --- a/doc/html/math_toolkit/internals/test_data.html +++ b/doc/html/math_toolkit/internals/test_data.html @@ -3,7 +3,7 @@Graphing, Profiling, and Generating Test Data for Special Functions - + diff --git a/doc/html/math_toolkit/internals/tuples.html b/doc/html/math_toolkit/internals/tuples.html index 3708bab8f..90bec9e61 100644 --- a/doc/html/math_toolkit/internals/tuples.html +++ b/doc/html/math_toolkit/internals/tuples.html @@ -3,7 +3,7 @@Tuples - + diff --git a/doc/html/math_toolkit/internals_overview.html b/doc/html/math_toolkit/internals_overview.html index f03b8b97f..028fca7a5 100644 --- a/doc/html/math_toolkit/internals_overview.html +++ b/doc/html/math_toolkit/internals_overview.html @@ -3,7 +3,7 @@Overview - + diff --git a/doc/html/math_toolkit/interp.html b/doc/html/math_toolkit/interp.html index 3ba7bc5cf..9fe035816 100644 --- a/doc/html/math_toolkit/interp.html +++ b/doc/html/math_toolkit/interp.html @@ -3,7 +3,7 @@Interpreting these Results - + diff --git a/doc/html/math_toolkit/intro_pol_overview.html b/doc/html/math_toolkit/intro_pol_overview.html index 286184b98..8329ab612 100644 --- a/doc/html/math_toolkit/intro_pol_overview.html +++ b/doc/html/math_toolkit/intro_pol_overview.html @@ -3,7 +3,7 @@Policies - + diff --git a/doc/html/math_toolkit/inv_hyper.html b/doc/html/math_toolkit/inv_hyper.html index 981894c5a..47a073387 100644 --- a/doc/html/math_toolkit/inv_hyper.html +++ b/doc/html/math_toolkit/inv_hyper.html @@ -3,7 +3,7 @@Inverse Hyperbolic Functions - + @@ -26,7 +26,7 @@ -+
- Inverse Hyperbolic Functions Overview
- acosh
diff --git a/doc/html/math_toolkit/inv_hyper/acosh.html b/doc/html/math_toolkit/inv_hyper/acosh.html index 9aa02c6ec..8e855ee3d 100644 --- a/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/doc/html/math_toolkit/inv_hyper/acosh.html @@ -3,7 +3,7 @@acosh - + diff --git a/doc/html/math_toolkit/inv_hyper/asinh.html b/doc/html/math_toolkit/inv_hyper/asinh.html index 20d2af152..38817e03f 100644 --- a/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/doc/html/math_toolkit/inv_hyper/asinh.html @@ -3,7 +3,7 @@asinh - + diff --git a/doc/html/math_toolkit/inv_hyper/atanh.html b/doc/html/math_toolkit/inv_hyper/atanh.html index fa1586ce3..5488b803a 100644 --- a/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/doc/html/math_toolkit/inv_hyper/atanh.html @@ -3,7 +3,7 @@atanh - + 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 94cc4ac22..0d0ac0d05 100644 --- a/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -3,7 +3,7 @@Inverse Hyperbolic Functions Overview - + diff --git a/doc/html/math_toolkit/issues.html b/doc/html/math_toolkit/issues.html index 6fd4dcc79..b3444c794 100644 --- a/doc/html/math_toolkit/issues.html +++ b/doc/html/math_toolkit/issues.html @@ -3,7 +3,7 @@Known Issues, and TODO List - + diff --git a/doc/html/math_toolkit/jacobi.html b/doc/html/math_toolkit/jacobi.html index 171d52cd5..2bdc12b87 100644 --- a/doc/html/math_toolkit/jacobi.html +++ b/doc/html/math_toolkit/jacobi.html @@ -3,7 +3,7 @@Jacobi Elliptic Functions - + @@ -26,7 +26,7 @@ -+
- Overview of the Jacobi Elliptic Functions
- Jacobi Elliptic diff --git a/doc/html/math_toolkit/jacobi/jac_over.html b/doc/html/math_toolkit/jacobi/jac_over.html index 36068f6b3..32330e9a9 100644 --- a/doc/html/math_toolkit/jacobi/jac_over.html +++ b/doc/html/math_toolkit/jacobi/jac_over.html @@ -3,7 +3,7 @@
Overview of the Jacobi Elliptic Functions - + @@ -31,7 +31,7 @@ There are twelve Jacobi Elliptic functions, of which the three copolar functions sn, cn and dn are the most important as the other nine can be computed from these three - [2] [3] [4]. + [2] [3] [4].These functions each take two arguments: a parameter, and a variable as described @@ -103,7 +103,7 @@
-
+
[2] Wikipedia: Jacobi elliptic functions diff --git a/doc/html/math_toolkit/jacobi/jacobi_cd.html b/doc/html/math_toolkit/jacobi/jacobi_cd.html index d7a78955f..a2d003874 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cd.html @@ -3,7 +3,7 @@
Jacobi Elliptic Function cd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cn.html b/doc/html/math_toolkit/jacobi/jacobi_cn.html index bc000eac6..540142d1d 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cn.html @@ -3,7 +3,7 @@Jacobi Elliptic Function cn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_cs.html b/doc/html/math_toolkit/jacobi/jacobi_cs.html index e2e18391f..53ff4c818 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_cs.html +++ b/doc/html/math_toolkit/jacobi/jacobi_cs.html @@ -3,7 +3,7 @@Jacobi Elliptic Function cs - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dc.html b/doc/html/math_toolkit/jacobi/jacobi_dc.html index 4de29f5ef..92ffb1633 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dc.html @@ -3,7 +3,7 @@Jacobi Elliptic Function dc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_dn.html b/doc/html/math_toolkit/jacobi/jacobi_dn.html index 01c9e70ce..45c29193c 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_dn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_dn.html @@ -3,7 +3,7 @@Jacobi Elliptic Function dn - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ds.html b/doc/html/math_toolkit/jacobi/jacobi_ds.html index 5e7adc1bb..0d16d326a 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ds.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ds.html @@ -3,7 +3,7 @@Jacobi Elliptic Function ds - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html index d95f26f8b..44305233b 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_elliptic.html +++ b/doc/html/math_toolkit/jacobi/jacobi_elliptic.html @@ -3,7 +3,7 @@Jacobi Elliptic SN, CN and DN - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nc.html b/doc/html/math_toolkit/jacobi/jacobi_nc.html index c186dc8e9..c14907f9c 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nc.html @@ -3,7 +3,7 @@Jacobi Elliptic Function nc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_nd.html b/doc/html/math_toolkit/jacobi/jacobi_nd.html index 2b0022552..e121b83ae 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_nd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_nd.html @@ -3,7 +3,7 @@Jacobi Elliptic Function nd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_ns.html b/doc/html/math_toolkit/jacobi/jacobi_ns.html index 92bf67b0a..43fb94fc0 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_ns.html +++ b/doc/html/math_toolkit/jacobi/jacobi_ns.html @@ -3,7 +3,7 @@Jacobi Elliptic Function ns - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sc.html b/doc/html/math_toolkit/jacobi/jacobi_sc.html index 36e19030d..45dc465a5 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sc.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sc.html @@ -3,7 +3,7 @@Jacobi Elliptic Function sc - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sd.html b/doc/html/math_toolkit/jacobi/jacobi_sd.html index ecd3a0cd5..cf27bb541 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sd.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sd.html @@ -3,7 +3,7 @@Jacobi Elliptic Function sd - + diff --git a/doc/html/math_toolkit/jacobi/jacobi_sn.html b/doc/html/math_toolkit/jacobi/jacobi_sn.html index 979884d3e..dd585ebe3 100644 --- a/doc/html/math_toolkit/jacobi/jacobi_sn.html +++ b/doc/html/math_toolkit/jacobi/jacobi_sn.html @@ -3,7 +3,7 @@Jacobi Elliptic Function sn - + diff --git a/doc/html/math_toolkit/lambert_w.html b/doc/html/math_toolkit/lambert_w.html index 0e88841a2..cf69cd66a 100644 --- a/doc/html/math_toolkit/lambert_w.html +++ b/doc/html/math_toolkit/lambert_w.html @@ -3,7 +3,7 @@Lambert W function - + diff --git a/doc/html/math_toolkit/lanczos.html b/doc/html/math_toolkit/lanczos.html index 2c3ed33be..d7d5f41a5 100644 --- a/doc/html/math_toolkit/lanczos.html +++ b/doc/html/math_toolkit/lanczos.html @@ -3,7 +3,7 @@The Lanczos Approximation - + diff --git a/doc/html/math_toolkit/ljung_box.html b/doc/html/math_toolkit/ljung_box.html index 252747a57..9e5c389ac 100644 --- a/doc/html/math_toolkit/ljung_box.html +++ b/doc/html/math_toolkit/ljung_box.html @@ -3,11 +3,11 @@The Ljung-Box Test - + - +
@@ -20,7 +20,7 @@