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author | Lorry Tar Creator <lorry-tar-importer@baserock.org> | 2015-04-08 03:09:47 +0000 |
---|---|---|
committer | <> | 2015-05-05 14:37:32 +0000 |
commit | f2541bb90af059680aa7036f315f052175999355 (patch) | |
tree | a5b214744b256f07e1dc2bd7273035a7808c659f /libs/math/doc/html/math_toolkit/inv_hyper | |
parent | ed232fdd34968697a68783b3195b1da4226915b5 (diff) | |
download | boost-tarball-master.tar.gz |
Imported from /home/lorry/working-area/delta_boost-tarball/boost_1_58_0.tar.bz2.HEADboost_1_58_0master
Diffstat (limited to 'libs/math/doc/html/math_toolkit/inv_hyper')
4 files changed, 32 insertions, 32 deletions
diff --git a/libs/math/doc/html/math_toolkit/inv_hyper/acosh.html b/libs/math/doc/html/math_toolkit/inv_hyper/acosh.html index 07dd0a0ab..a4838e2f6 100644 --- a/libs/math/doc/html/math_toolkit/inv_hyper/acosh.html +++ b/libs/math/doc/html/math_toolkit/inv_hyper/acosh.html @@ -3,8 +3,8 @@ <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>acosh</title> <link rel="stylesheet" href="../../math.css" type="text/css"> -<meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> -<link rel="home" href="../../index.html" title="Math Toolkit 2.1.0"> +<meta name="generator" content="DocBook XSL Stylesheets V1.77.1"> +<link rel="home" href="../../index.html" title="Math Toolkit 2.2.0"> <link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions"> <link rel="prev" href="inv_hyper_over.html" title="Inverse Hyperbolic Functions Overview"> <link rel="next" href="asinh.html" title="asinh"> @@ -54,7 +54,7 @@ documentation for more details</a>. </p> <p> - <span class="inlinemediaobject"><img src="../../../graphs/acosh.png" align="middle"></span> + <span class="inlinemediaobject"><img src="../../../graphs/acosh.svg" align="middle"></span> </p> <h5> <a name="math_toolkit.inv_hyper.acosh.h0"></a> @@ -73,7 +73,7 @@ formula: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/acosh1.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/acosh1.svg"></span> </p> <p> along with a selection of sanity check values computed using functions.wolfram.com @@ -87,27 +87,27 @@ For sufficiently large x, we can use the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcCosh/06/01/06/01/0001/" target="_top">approximation</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/acosh2.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/acosh2.svg"></span> </p> <p> For x sufficiently close to 1 we can use the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcCosh/06/01/04/01/0001/" target="_top">approximation</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/acosh4.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/acosh4.svg"></span> </p> <p> Otherwise for x close to 1 we can use the following rearrangement of the primary definition to preserve accuracy: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/acosh3.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/acosh3.svg"></span> </p> <p> Otherwise the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcCosh/02/" target="_top">primary definition</a> is used: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/acosh1.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/acosh1.svg"></span> </p> </div> <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> diff --git a/libs/math/doc/html/math_toolkit/inv_hyper/asinh.html b/libs/math/doc/html/math_toolkit/inv_hyper/asinh.html index be777c85b..a2e2d035d 100644 --- a/libs/math/doc/html/math_toolkit/inv_hyper/asinh.html +++ b/libs/math/doc/html/math_toolkit/inv_hyper/asinh.html @@ -3,8 +3,8 @@ <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>asinh</title> <link rel="stylesheet" href="../../math.css" type="text/css"> -<meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> -<link rel="home" href="../../index.html" title="Math Toolkit 2.1.0"> +<meta name="generator" content="DocBook XSL Stylesheets V1.77.1"> +<link rel="home" href="../../index.html" title="Math Toolkit 2.2.0"> <link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions"> <link rel="prev" href="acosh.html" title="acosh"> <link rel="next" href="atanh.html" title="atanh"> @@ -43,7 +43,7 @@ type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> when T is an integer type, and T otherwise. </p> <p> - <span class="inlinemediaobject"><img src="../../../graphs/asinh.png" align="middle"></span> + <span class="inlinemediaobject"><img src="../../../graphs/asinh.svg" align="middle"></span> </p> <p> The final <a class="link" href="../../policy.html" title="Chapter 14. Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can @@ -68,7 +68,7 @@ formula: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/asinh1.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/asinh1.svg"></span> </p> <p> along with a selection of sanity check values computed using functions.wolfram.com @@ -82,27 +82,27 @@ For sufficiently large x we can use the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcSinh/06/01/06/01/0001/" target="_top">approximation</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/asinh2.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/asinh2.svg"></span> </p> <p> While for very small x we can use the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcSinh/06/01/03/01/0001/" target="_top">approximation</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/asinh3.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/asinh3.svg"></span> </p> <p> For 0.5 > x > ε the following rearrangement of the primary definition is used: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/asinh4.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/asinh4.svg"></span> </p> <p> Otherwise evalution is via the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcSinh/02/" target="_top">primary definition</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/asinh4.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/asinh4.svg"></span> </p> </div> <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> diff --git a/libs/math/doc/html/math_toolkit/inv_hyper/atanh.html b/libs/math/doc/html/math_toolkit/inv_hyper/atanh.html index 46bc5fe5b..c1532d7c6 100644 --- a/libs/math/doc/html/math_toolkit/inv_hyper/atanh.html +++ b/libs/math/doc/html/math_toolkit/inv_hyper/atanh.html @@ -3,8 +3,8 @@ <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>atanh</title> <link rel="stylesheet" href="../../math.css" type="text/css"> -<meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> -<link rel="home" href="../../index.html" title="Math Toolkit 2.1.0"> +<meta name="generator" content="DocBook XSL Stylesheets V1.77.1"> +<link rel="home" href="../../index.html" title="Math Toolkit 2.2.0"> <link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions"> <link rel="prev" href="asinh.html" title="asinh"> <link rel="next" href="../owens_t.html" title="Owen's T function"> @@ -63,7 +63,7 @@ denoting numeric_limits<T>::epsilon(). type calculation rules</em></span></a>: the return type is <code class="computeroutput"><span class="keyword">double</span></code> when T is an integer type, and T otherwise. </p> <p> - <span class="inlinemediaobject"><img src="../../../graphs/atanh.png" align="middle"></span> + <span class="inlinemediaobject"><img src="../../../graphs/atanh.svg" align="middle"></span> </p> <h5> <a name="math_toolkit.inv_hyper.atanh.h0"></a> @@ -82,7 +82,7 @@ denoting numeric_limits<T>::epsilon(). formula: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/atanh1.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/atanh1.svg"></span> </p> <p> along with a selection of sanity check values computed using functions.wolfram.com @@ -96,20 +96,20 @@ denoting numeric_limits<T>::epsilon(). For sufficiently small x we can use the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcTanh/06/01/03/01/" target="_top">approximation</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/atanh2.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/atanh2.svg"></span> </p> <p> Otherwise the <a href="http://functions.wolfram.com/ElementaryFunctions/ArcTanh/02/" target="_top">primary definition</a>: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/atanh1.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/atanh1.svg"></span> </p> <p> or its equivalent form: </p> <p> - <span class="inlinemediaobject"><img src="../../../equations/atanh3.png"></span> + <span class="inlinemediaobject"><img src="../../../equations/atanh3.svg"></span> </p> <p> is used. diff --git a/libs/math/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html b/libs/math/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html index cac9b7594..725cf2167 100644 --- a/libs/math/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html +++ b/libs/math/doc/html/math_toolkit/inv_hyper/inv_hyper_over.html @@ -3,8 +3,8 @@ <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>Inverse Hyperbolic Functions Overview</title> <link rel="stylesheet" href="../../math.css" type="text/css"> -<meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> -<link rel="home" href="../../index.html" title="Math Toolkit 2.1.0"> +<meta name="generator" content="DocBook XSL Stylesheets V1.77.1"> +<link rel="home" href="../../index.html" title="Math Toolkit 2.2.0"> <link rel="up" href="../inv_hyper.html" title="Inverse Hyperbolic Functions"> <link rel="prev" href="../inv_hyper.html" title="Inverse Hyperbolic Functions"> <link rel="next" href="acosh.html" title="acosh"> @@ -29,7 +29,7 @@ </h3></div></div></div> <p> The exponential funtion is defined, for all objects for which this makes - sense, as the power series <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb1.png"></span>, + sense, as the power series <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb1.svg"></span>, with <span class="emphasis"><em><code class="literal">n! = 1x2x3x4x5...xn</code></em></span> (and <span class="emphasis"><em><code class="literal">0! = 1</code></em></span> by definition) being the factorial of <span class="emphasis"><em><code class="literal">n</code></em></span>. In particular, the exponential function is well defined for real numbers, @@ -53,13 +53,13 @@ (for reals, complex, quaternions and octonions) as: </p> <p> - Hyperbolic cosine: <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb5.png"></span> + Hyperbolic cosine: <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb5.svg"></span> </p> <p> - Hyperbolic sine: <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb6.png"></span> + Hyperbolic sine: <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb6.svg"></span> </p> <p> - Hyperbolic tangent: <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb7.png"></span> + Hyperbolic tangent: <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb7.svg"></span> </p> <div class="blockquote"><blockquote class="blockquote"><p> <span class="emphasis"><em><span class="bold"><strong>Trigonometric functions on R (cos: purple; @@ -86,15 +86,15 @@ </p> <p> The inverse of the hyperbolic tangent is called the Argument hyperbolic tangent, - and can be computed as <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb15.png"></span>. + and can be computed as <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb15.svg"></span>. </p> <p> The inverse of the hyperbolic sine is called the Argument hyperbolic sine, - and can be computed (for <code class="literal">[-1;-1+ε[</code>) as <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb17.png"></span>. + and can be computed (for <code class="literal">[-1;-1+ε[</code>) as <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb17.svg"></span>. </p> <p> The inverse of the hyperbolic cosine is called the Argument hyperbolic cosine, - and can be computed as <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb18.png"></span>. + and can be computed as <span class="inlinemediaobject"><img src="../../../equations/special_functions_blurb18.svg"></span>. </p> </div> <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> |