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Timestamp:
02/16/09 10:02:08 (16 years ago)
Author:
smidl
Message:

Changes in the very root classes!
* rv and rvc are no longer compulsory,
* samplecond does not return ll
* BM has drv

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1 modified

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  • doc/html/classbdm_1_1mratio.html

    r269 r270  
    2929</div> 
    3030<div class="contents"> 
    31 <h1>bdm::mratio Class Reference</h1><!-- doxytag: class="bdm::mratio" --><!-- doxytag: inherits="bdm::mpdf" -->Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> 
    32 <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png"> 
    33 <p> 
    34  where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">.   
    35 <a href="#_details">More...</a> 
    36 <p> 
    37 <code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code> 
     31<h1>bdm::mratio Class Reference</h1><!-- doxytag: class="bdm::mratio" --><!-- doxytag: inherits="bdm::mpdf" --><code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code> 
    3832<p> 
    3933<div class="dynheader"> 
    … …  
    4438<area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="16,84,107,111"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="5,7,117,33"></map> 
    4539<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> 
    46 <div class="dynheader"> 
    47 Collaboration diagram for bdm::mratio:</div> 
    48 <div class="dynsection"> 
    49 <p><center><img src="classbdm_1_1mratio__coll__graph.png" border="0" usemap="#bdm_1_1mratio__coll__map" alt="Collaboration graph"></center> 
    50 <map name="bdm_1_1mratio__coll__map"> 
    51 <area shape="rect" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="5,287,96,313"><area shape="rect" href="classbdm_1_1bdmroot.html" title="Root class of BDM objects." alt="" coords="7,7,119,33"><area shape="rect" href="classbdm_1_1RV.html" title="Class representing variables, most often random variables." alt="" coords="25,87,100,113"><area shape="rect" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="93,185,179,212"><area shape="rect" href="classbdm_1_1datalink__m2e.html" title="data link between" alt="" coords="199,287,343,313"><area shape="rect" href="classbdm_1_1datalink__e2e.html" title="DataLink is a connection between two data vectors Up and Down." alt="" coords="203,185,341,212"></map> 
    52 <center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div> 
    53  
    54 <p> 
    55 <a href="classbdm_1_1mratio-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> 
     40 
     41<p> 
     42<a href="classbdm_1_1mratio-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
     43Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> 
     44<img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png"> 
     45<p> 
     46 where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">.  
     47<p> 
     48In particular this type of arise by conditioning of a mixture model.<p> 
     49At present the only supported operation is <a class="el" href="classbdm_1_1mratio.html#3a2cbce8c61ca9f592d9c2220f7c1204" title="Shortcut for conditioning and evaluation of the internal epdf. In some cases, this...">evallogcond()</a>. <table border="0" cellpadding="0" cellspacing="0"> 
    5650<tr><td></td></tr> 
    5751<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
    58 <tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#0ff56d13f9515d7e5f23b7a4cc5529b4">mratio</a> (const <a class="el" href="classbdm_1_1epdf.html">epdf</a> *nom0, const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;<a class="el" href="classbdm_1_1mpdf.html#9bcfb45435d30983f436d41c298cbb51">rv</a>, bool copy=false)</td></tr> 
     52<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#0ff56d13f9515d7e5f23b7a4cc5529b4">mratio</a> (const <a class="el" href="classbdm_1_1epdf.html">epdf</a> *nom0, const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv, bool copy=false)</td></tr> 
    5953 
    6054<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3a2cbce8c61ca9f592d9c2220f7c1204"></a><!-- doxytag: member="bdm::mratio::evallogcond" ref="3a2cbce8c61ca9f592d9c2220f7c1204" args="(const vec &amp;val, const vec &amp;cond)" --> 
    … …  
    7064 
    7165<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default destructor. <br></td></tr> 
     66<tr><td colspan="2"><div class="groupHeader">Matematical operations</div></td></tr> 
    7267<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#f0c1db6fcbb3aae2dd6123884457a367">samplecond</a> (const vec &amp;cond)</td></tr> 
    7368 
    7469<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
    75 <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#ee26963a637b2ea1fb1933652981e652">samplecond_m</a> (const vec &amp;cond, vec &amp;ll, int N)</td></tr> 
    76  
    77 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#ee26963a637b2ea1fb1933652981e652"></a><br></td></tr> 
     70<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#afe4185b26baeb03688202e254d3b005">samplecond_m</a> (const vec &amp;cond, int N)</td></tr> 
     71 
     72<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#afe4185b26baeb03688202e254d3b005"></a><br></td></tr> 
    7873<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="db94784a9aacf74c65c5a014f6743530"></a><!-- doxytag: member="bdm::mratio::condition" ref="db94784a9aacf74c65c5a014f6743530" args="(const vec &amp;cond)" --> 
    7974virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#db94784a9aacf74c65c5a014f6743530">condition</a> (const vec &amp;cond)</td></tr> 
    … …  
    8479 
    8580<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix version of evallogcond. <br></td></tr> 
    86 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b3aba7311038bf990d706a64cab60cf8"></a><!-- doxytag: member="bdm::mratio::_rvc" ref="b3aba7311038bf990d706a64cab60cf8" args="() const " --> 
    87 <a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#b3aba7311038bf990d706a64cab60cf8">_rvc</a> () const </td></tr> 
    88  
    89 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
    90 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="222d5280e309c5a053ba73841e98c151"></a><!-- doxytag: member="bdm::mratio::_rv" ref="222d5280e309c5a053ba73841e98c151" args="() const " --> 
    91 <a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#222d5280e309c5a053ba73841e98c151">_rv</a> () const </td></tr> 
    92  
    93 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     81<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> 
     82<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5571482d150fbcb72cc36f6694ce1a10"></a><!-- doxytag: member="bdm::mratio::_rv" ref="5571482d150fbcb72cc36f6694ce1a10" args="()" --> 
     83<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rv</b> ()</td></tr> 
     84 
     85<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::mratio::_rvc" ref="26001264236846897bd11e4baad47245" args="()" --> 
     86<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rvc</b> ()</td></tr> 
     87 
     88<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c2bae3e1e90874e72941863974ec0ed"></a><!-- doxytag: member="bdm::mratio::dimension" ref="1c2bae3e1e90874e72941863974ec0ed" args="()" --> 
     89int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimension</b> ()</td></tr> 
     90 
     91<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::mratio::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" --> 
     92int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr> 
     93 
    9494<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1892fe3933488942253679f068e9e7f6"></a><!-- doxytag: member="bdm::mratio::_epdf" ref="1892fe3933488942253679f068e9e7f6" args="()" --> 
    95 <a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#1892fe3933488942253679f068e9e7f6">_epdf</a> ()</td></tr> 
    96  
    97 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     95<a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_epdf</b> ()</td></tr> 
     96 
    9897<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05e843fd11c410a99dad2b88c55aca80"></a><!-- doxytag: member="bdm::mratio::_e" ref="05e843fd11c410a99dad2b88c55aca80" args="()" --> 
    99 <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#05e843fd11c410a99dad2b88c55aca80">_e</a> ()</td></tr> 
    100  
    101 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr> 
     98<a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><b>_e</b> ()</td></tr> 
     99 
     100<tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr> 
     101<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::mratio::set_rvc" ref="7631a5570e4ade1420065e8df78f4401" args="(const RV &amp;rvc0)" --> 
     102void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rvc</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rvc0)</td></tr> 
     103 
     104<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::mratio::set_rv" ref="18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &amp;rv0)" --> 
     105void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv0)</td></tr> 
     106 
     107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::mratio::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" --> 
     108bool&nbsp;</td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr> 
     109 
    102110<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> 
    103111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f31caba90a2aa10fbf7631832404fe54"></a><!-- doxytag: member="bdm::mratio::nom" ref="f31caba90a2aa10fbf7631832404fe54" args="" --> 
    … …  
    116124<a class="el" href="classbdm_1_1datalink__m2e.html">datalink_m2e</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mratio.html#cda5bd23ba60146d69e1f804ff7710c7">dl</a></td></tr> 
    117125 
    118 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">datalink between conditional and nom <br></td></tr> 
    119 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9bcfb45435d30983f436d41c298cbb51"></a><!-- doxytag: member="bdm::mratio::rv" ref="9bcfb45435d30983f436d41c298cbb51" args="" --> 
    120 <a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#9bcfb45435d30983f436d41c298cbb51">rv</a></td></tr> 
    121  
    122 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">modeled random variable <br></td></tr> 
     126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight"><a class="el" href="classbdm_1_1datalink.html" title="DataLink is a connection between two data vectors Up and Down.">datalink</a> between conditional and nom <br></td></tr> 
     127<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::mratio::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" --> 
     128int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr> 
     129 
     130<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the condition <br></td></tr> 
    123131<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mratio::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" --> 
    124132<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5a5f08950daa08b85b01ddf4e1c36288">rvc</a></td></tr> 
    … …  
    130138<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">pointer to internal <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> <br></td></tr> 
    131139</table> 
    132 <hr><a name="_details"></a><h2>Detailed Description</h2> 
    133 Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> 
    134 <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png"> 
    135 <p> 
    136  where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">.  
    137 <p> 
    138 In particular this type of arise by conditioning of a mixture model.<p> 
    139 At present the only supported operation is <a class="el" href="classbdm_1_1mratio.html#3a2cbce8c61ca9f592d9c2220f7c1204" title="Shortcut for conditioning and evaluation of the internal epdf. In some cases, this...">evallogcond()</a>. <hr><h2>Constructor &amp; Destructor Documentation</h2> 
     140<hr><h2>Constructor &amp; Destructor Documentation</h2> 
    140141<a class="anchor" name="0ff56d13f9515d7e5f23b7a4cc5529b4"></a><!-- doxytag: member="bdm::mratio::mratio" ref="0ff56d13f9515d7e5f23b7a4cc5529b4" args="(const epdf *nom0, const RV &amp;rv, bool copy=false)" --> 
    141142<div class="memitem"> 
    … …  
    171172<p> 
    172173Default constructor. By default, the given <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> is not copied! It is assumed that this function will be used only temporarily.  
    173 <p>References <a class="el" href="emix_8h-source.html#l00041">den</a>, <a class="el" href="emix_8h-source.html#l00043">destroynom</a>, <a class="el" href="libBM_8h-source.html#l00088">bdm::RV::length()</a>, <a class="el" href="libBM_8h-source.html#l00205">bdm::epdf::marginal()</a>, <a class="el" href="emix_8h-source.html#l00039">nom</a>, and <a class="el" href="libBM_8h-source.html#l00231">bdm::mpdf::rvc</a>.</p> 
     174<p>References <a class="el" href="libBM_8h-source.html#l00265">bdm::epdf::_rv()</a>, <a class="el" href="emix_8h-source.html#l00041">den</a>, <a class="el" href="emix_8h-source.html#l00043">destroynom</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, <a class="el" href="libBM_8h-source.html#l00131">bdm::RV::length()</a>, <a class="el" href="libBM_8h-source.html#l00247">bdm::epdf::marginal()</a>, <a class="el" href="emix_8h-source.html#l00039">nom</a>, <a class="el" href="libBM_8h-source.html#l00286">bdm::mpdf::rvc</a>, <a class="el" href="libBM_8h-source.html#l00261">bdm::epdf::set_rv()</a>, and <a class="el" href="libBM_8cpp-source.html#l00174">bdm::RV::subt()</a>.</p> 
    174175 
    175176</div> 
    … …  
    201202</dl> 
    202203 
    203 <p>References <a class="el" href="libBM_8h-source.html#l00250">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00233">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p> 
     204<p>References <a class="el" href="libBM_8h-source.html#l00315">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p> 
    204205 
    205206<p>Referenced by <a class="el" href="libPF_8h-source.html#l00143">bdm::MPF&lt; BM_T &gt;::bayes()</a>, <a class="el" href="libPF_8cpp-source.html#l00007">bdm::PF::bayes()</a>, and <a class="el" href="libDS_8cpp-source.html#l00044">bdm::ArxDS::step()</a>.</p> 
    … …  
    207208</div> 
    208209</div><p> 
    209 <a class="anchor" name="ee26963a637b2ea1fb1933652981e652"></a><!-- doxytag: member="bdm::mratio::samplecond_m" ref="ee26963a637b2ea1fb1933652981e652" args="(const vec &amp;cond, vec &amp;ll, int N)" --> 
     210<a class="anchor" name="afe4185b26baeb03688202e254d3b005"></a><!-- doxytag: member="bdm::mratio::samplecond_m" ref="afe4185b26baeb03688202e254d3b005" args="(const vec &amp;cond, int N)" --> 
    210211<div class="memitem"> 
    211212<div class="memproto"> 
    … …  
    216217          <td class="paramtype">const vec &amp;&nbsp;</td> 
    217218          <td class="paramname"> <em>cond</em>, </td> 
    218         </tr> 
    219         <tr> 
    220           <td class="paramkey"></td> 
    221           <td></td> 
    222           <td class="paramtype">vec &amp;&nbsp;</td> 
    223           <td class="paramname"> <em>ll</em>, </td> 
    224219        </tr> 
    225220        <tr> 
    … …  
    249244</dl> 
    250245 
    251 <p>References <a class="el" href="libBM_8h-source.html#l00250">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00086">bdm::RV::count()</a>, <a class="el" href="libBM_8h-source.html#l00233">bdm::mpdf::ep</a>, <a class="el" href="classbdm_1_1epdf.html#a8e39e2ff5e5cf5471bc159530d3b2d3">bdm::epdf::evallog()</a>, <a class="el" href="libBM_8h-source.html#l00229">bdm::mpdf::rv</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p> 
     246<p>References <a class="el" href="libBM_8h-source.html#l00315">bdm::mpdf::condition()</a>, <a class="el" href="libBM_8h-source.html#l00272">bdm::epdf::dimension()</a>, <a class="el" href="libBM_8h-source.html#l00288">bdm::mpdf::ep</a>, and <a class="el" href="classbdm_1_1epdf.html#09721eb148bc49d6ec2f1956039f3a10">bdm::epdf::sample()</a>.</p> 
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    258 <hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 10:20:52 2009 for mixpp by&nbsp; 
     253<hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 23:34:02 2009 for mixpp by&nbsp; 
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    260255<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>