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Diffstat (limited to 'doc/html/boost/accumulators/impl/variance_impl.html')
-rw-r--r-- | doc/html/boost/accumulators/impl/variance_impl.html | 46 |
1 files changed, 23 insertions, 23 deletions
diff --git a/doc/html/boost/accumulators/impl/variance_impl.html b/doc/html/boost/accumulators/impl/variance_impl.html index b6fe5ae31d..f83da1e944 100644 --- a/doc/html/boost/accumulators/impl/variance_impl.html +++ b/doc/html/boost/accumulators/impl/variance_impl.html @@ -35,50 +35,50 @@ </span><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Sample<span class="special">,</span> <span class="keyword">typename</span> MeanFeature<span class="special">,</span> <span class="keyword">typename</span> Tag<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="variance_impl.html" title="Struct template variance_impl">variance_impl</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">accumulator_base</span> <span class="special">{</span> <span class="comment">// <a class="link" href="variance_impl.html#boost.accumulators.impl.variance_implconstruct-copy-destruct">construct/copy/destruct</a></span> - <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a class="link" href="variance_impl.html#idp417230896-bb"><span class="identifier">variance_impl</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a class="link" href="variance_impl.html#idp438748128-bb"><span class="identifier">variance_impl</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> - <span class="comment">// <a class="link" href="variance_impl.html#idp417226528-bb">public member functions</a></span> - <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a class="link" href="variance_impl.html#idp417227024-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> - <span class="identifier">result_type</span> <a class="link" href="variance_impl.html#idp417229152-bb"><span class="identifier">result</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span> + <span class="comment">// <a class="link" href="variance_impl.html#idp438743760-bb">public member functions</a></span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a class="link" href="variance_impl.html#idp438744256-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> + <span class="identifier">result_type</span> <a class="link" href="variance_impl.html#idp438746384-bb"><span class="identifier">result</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span> <span class="special">}</span><span class="special">;</span></pre></div> <div class="refsect1"> -<a name="idp116942816"></a><h2>Description</h2> -<p>Iterative calculation of sample variance <span class="inlinemediaobject"><img src="../../../images/accumulators//form_52.png"></span> according to the formula </p> +<a name="idp98923104"></a><h2>Description</h2> +<p>Iterative calculation of sample variance <span class="inlinemediaobject"><img src="../../../images/accumulators//form_55.png"></span> according to the formula </p> <div class="equation"> -<a name="idp116945984"></a><p class="title"><b>Equation 1.31. </b></p> -<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_90.png" align="middle"></div></div> +<a name="idp98926272"></a><p class="title"><b>Equation 1.31. </b></p> +<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_56.png" align="middle"></div></div> </div> <p><br class="equation-break"> where </p> <div class="equation"> -<a name="idp116949024"></a><p class="title"><b>Equation 1.32. </b></p> -<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_89.png" align="middle"></div></div> +<a name="idp98929312"></a><p class="title"><b>Equation 1.32. </b></p> +<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_54.png" align="middle"></div></div> </div> -<p><br class="equation-break"> is the estimate of the sample mean and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_75.png"></span> is the number of samples.</p> -<p>Note that the sample variance is not defined for <span class="inlinemediaobject"><img src="../../../images/accumulators//form_66.png"></span>.</p> +<p><br class="equation-break"> is the estimate of the sample mean and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_3.png"></span> is the number of samples.</p> +<p>Note that the sample variance is not defined for <span class="inlinemediaobject"><img src="../../../images/accumulators//form_8.png"></span>.</p> <p>A simplification can be obtained by the approximate recursion </p> <div class="equation"> -<a name="idp116957264"></a><p class="title"><b>Equation 1.33. </b></p> -<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_91.png" align="middle"></div></div> +<a name="idp98937552"></a><p class="title"><b>Equation 1.33. </b></p> +<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_57.png" align="middle"></div></div> </div> <p><br class="equation-break"> because the difference </p> <div class="equation"> -<a name="idp116960224"></a><p class="title"><b>Equation 1.34. </b></p> -<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_92.png" align="middle"></div></div> +<a name="idp98940512"></a><p class="title"><b>Equation 1.34. </b></p> +<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_58.png" align="middle"></div></div> </div> -<p><br class="equation-break"> converges to zero as <span class="inlinemediaobject"><img src="../../../images/accumulators//form_93.png"></span>. However, for small <span class="inlinemediaobject"><img src="../../../images/accumulators//form_17.png"></span> the difference can be non-negligible. </p> +<p><br class="equation-break"> converges to zero as <span class="inlinemediaobject"><img src="../../../images/accumulators//form_59.png"></span>. However, for small <span class="inlinemediaobject"><img src="../../../images/accumulators//form_33.png"></span> the difference can be non-negligible. </p> <div class="refsect2"> -<a name="idp116968048"></a><h3> +<a name="idp98948336"></a><h3> <a name="boost.accumulators.impl.variance_implconstruct-copy-destruct"></a><code class="computeroutput">variance_impl</code> public construct/copy/destruct</h3> -<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a name="idp417230896-bb"></a><span class="identifier">variance_impl</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li></ol></div> +<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a name="idp438748128-bb"></a><span class="identifier">variance_impl</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li></ol></div> </div> <div class="refsect2"> -<a name="idp116978720"></a><h3> -<a name="idp417226528-bb"></a><code class="computeroutput">variance_impl</code> public member functions</h3> +<a name="idp98958880"></a><h3> +<a name="idp438743760-bb"></a><code class="computeroutput">variance_impl</code> public member functions</h3> <div class="orderedlist"><ol class="orderedlist" type="1"> -<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a name="idp417227024-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li> -<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="idp417229152-bb"></a><span class="identifier">result</span><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li> +<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a name="idp438744256-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li> +<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="idp438746384-bb"></a><span class="identifier">result</span><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li> </ol></div> </div> </div> |