Changeset 275

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02/17/09 11:15:56 (16 years ago)
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    r271 r275  
    7171  <tr><td class="indexkey"><a class="el" href="classbdm_1_1ArxDS.html">bdm::ArxDS</a></td><td class="indexvalue">Generator of <a class="el" href="classbdm_1_1ARX.html" title="Linear Autoregressive model with Gaussian noise.">ARX</a> data </td></tr> 
    7272  <tr><td class="indexkey"><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td class="indexvalue">Root class of BDM objects </td></tr> 
    73   <tr><td class="indexkey"><a class="el" href="classbdm_1_1bilinfn.html">bdm::bilinfn</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x,u) = Ax+Bu$" src="form_48.png"> </td></tr> 
     73  <tr><td class="indexkey"><a class="el" href="classbdm_1_1bilinfn.html">bdm::bilinfn</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x,u) = Ax+Bu$" src="form_82.png"> </td></tr> 
    7474  <tr><td class="indexkey"><a class="el" href="classbdm_1_1BM.html">bdm::BM</a></td><td class="indexvalue">Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities </td></tr> 
    7575  <tr><td class="indexkey"><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td class="indexvalue">Conditional Bayesian Filter </td></tr> 
    … …  
    7777  <tr><td class="indexkey"><a class="el" href="classchmat.html">chmat</a></td><td class="indexvalue">Symmetric matrix stored in square root decomposition using upper cholesky </td></tr> 
    7878  <tr><td class="indexkey"><a class="el" href="classbdm_1_1compositepdf.html">bdm::compositepdf</a></td><td class="indexvalue">Abstract composition of pdfs, will be used for specific classes this abstract class is common to <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> and <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling some dependencies.">mpdf</a> </td></tr> 
    79   <tr><td class="indexkey"><a class="el" href="classbdm_1_1constfn.html">bdm::constfn</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x) = a$" src="form_45.png">, here <code>rv</code> is empty </td></tr> 
     79  <tr><td class="indexkey"><a class="el" href="classbdm_1_1constfn.html">bdm::constfn</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x) = a$" src="form_79.png">, here <code>rv</code> is empty </td></tr> 
    8080  <tr><td class="indexkey"><a class="el" href="classbdm_1_1datalink.html">bdm::datalink</a></td><td class="indexvalue">DataLink is a connection between two data vectors Up and Down </td></tr> 
    8181  <tr><td class="indexkey"><a class="el" href="classbdm_1_1datalink__m2e.html">bdm::datalink_m2e</a></td><td class="indexvalue">Data link between </td></tr> 
    8282  <tr><td class="indexkey"><a class="el" href="classbdm_1_1datalink__m2m.html">bdm::datalink_m2m</a></td><td class="indexvalue"></td></tr> 
    83   <tr><td class="indexkey"><a class="el" href="classbdm_1_1diffbifn.html">bdm::diffbifn</a></td><td class="indexvalue">Class representing a differentiable function of two variables <img class="formulaInl" alt="$f(x,u)$" src="form_47.png"> </td></tr> 
     83  <tr><td class="indexkey"><a class="el" href="classbdm_1_1diffbifn.html">bdm::diffbifn</a></td><td class="indexvalue">Class representing a differentiable function of two variables <img class="formulaInl" alt="$f(x,u)$" src="form_81.png"> </td></tr> 
    8484  <tr><td class="indexkey"><a class="el" href="classbdm_1_1dirfilelog.html">bdm::dirfilelog</a></td><td class="indexvalue">Logging into dirfile with buffer in memory </td></tr> 
    8585  <tr><td class="indexkey"><a class="el" href="classbdm_1_1DS.html">bdm::DS</a></td><td class="indexvalue">Abstract class for discrete-time sources of data </td></tr> 
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    101101  <tr><td class="indexkey"><a class="el" href="classbdm_1_1eprod.html">bdm::eprod</a></td><td class="indexvalue">Product of independent epdfs. For dependent pdfs, use <a class="el" href="classbdm_1_1mprod.html" title="Chain rule decomposition of epdf.">mprod</a> </td></tr> 
    102102  <tr><td class="indexkey"><a class="el" href="classbdm_1_1euni.html">bdm::euni</a></td><td class="indexvalue">Uniform distributed density on a rectangular support </td></tr> 
    103   <tr><td class="indexkey"><a class="el" href="classbdm_1_1fnc.html">bdm::fnc</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x)$" src="form_35.png"> of variable <img class="formulaInl" alt="$x$" src="form_28.png"> represented by <code>rv</code> </td></tr> 
     103  <tr><td class="indexkey"><a class="el" href="classbdm_1_1fnc.html">bdm::fnc</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x)$" src="form_39.png"> of variable <img class="formulaInl" alt="$x$" src="form_28.png"> represented by <code>rv</code> </td></tr> 
    104104  <tr><td class="indexkey"><a class="el" href="classfsqmat.html">fsqmat</a></td><td class="indexvalue">Fake <a class="el" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a>. This class maps <a class="el" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a> operations to operations on full matrix </td></tr> 
    105105  <tr><td class="indexkey"><a class="el" href="classbdm_1_1Kalman.html">bdm::Kalman&lt; sq_T &gt;</a></td><td class="indexvalue"><a class="el" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> filter with covariance matrices in square root form </td></tr> 
    … …  
    109109  <tr><td class="indexkey"><a class="el" href="classbdm_1_1KFcondR.html">bdm::KFcondR</a></td><td class="indexvalue"><a class="el" href="classbdm_1_1Kalman.html" title="Kalman filter with covariance matrices in square root form.">Kalman</a> Filter with conditional diagonal matrices R and Q </td></tr> 
    110110  <tr><td class="indexkey"><a class="el" href="classldmat.html">ldmat</a></td><td class="indexvalue">Matrix stored in LD form, (commonly known as UD) </td></tr> 
    111   <tr><td class="indexkey"><a class="el" href="classbdm_1_1linfn.html">bdm::linfn</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x) = Ax+B$" src="form_46.png"> </td></tr> 
     111  <tr><td class="indexkey"><a class="el" href="classbdm_1_1linfn.html">bdm::linfn</a></td><td class="indexvalue">Class representing function <img class="formulaInl" alt="$f(x) = Ax+B$" src="form_80.png"> </td></tr> 
    112112  <tr><td class="indexkey"><a class="el" href="classbdm_1_1logger.html">bdm::logger</a></td><td class="indexvalue">Class for storing results (and semi-results) of an experiment </td></tr> 
    113113  <tr><td class="indexkey"><a class="el" href="classbdm_1_1mEF.html">bdm::mEF</a></td><td class="indexvalue">Exponential family model </td></tr> 
    … …  
    128128  <tr><td class="indexkey"><a class="el" href="classbdm_1_1mprod.html">bdm::mprod</a></td><td class="indexvalue">Chain rule decomposition of <a class="el" href="classbdm_1_1epdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> </td></tr> 
    129129  <tr><td class="indexkey"><a class="el" href="classbdm_1_1mratio.html">bdm::mratio</a></td><td class="indexvalue">Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> 
    130 <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png"> 
     130<img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_35.png"> 
    131131<p> 
    132  where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png"> </td></tr> 
     132 where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_36.png"> </td></tr> 
    133133  <tr><td class="indexkey"><a class="el" href="classbdm_1_1multiBM.html">bdm::multiBM</a></td><td class="indexvalue">Estimator for Multinomial density </td></tr> 
    134134  <tr><td class="indexkey"><a class="el" href="classbdm_1_1PF.html">bdm::PF</a></td><td class="indexvalue">Trivial particle filter with proposal density equal to parameter evolution model </td></tr> 
    … …  
    144144</table> 
    145145</div> 
    146 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:27 2009 for mixpp by&nbsp; 
     146<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
    147147<a href="http://www.doxygen.org/index.html"> 
    148148<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>  
    
      
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                          123123<a name="l00118"></a>00118  
                  
    
                          124124</pre></div></div> 
                  
    
                
                      
    
                        125 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:22 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         125<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:23 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          127127<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        83 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8585<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        77 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         77<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          7979<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          112112<a name="l00086"></a>00086 <span class="preprocessor">#endif // DS_UI_H</span> 
                  
    
                          113113</pre></div></div> 
                  
    
                
                      
    
                        114 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:22 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         114<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:23 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          116116<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        83 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8585<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          113113<a name="l00088"></a>00088 <span class="preprocessor">#endif // CHMAT_H</span> 
                  
    
                          114114</pre></div></div> 
                  
    
                
                      
    
                        115 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:22 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          117117<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        79 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         79<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          8181<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7676  <tr class="memlist"><td><a class="el" href="classbdm_1_1UIbuilder.html#c75103dd58395644e80f1eea886c656b">UIbuilder</a>(const string &amp;typ)</td><td><a class="el" href="classbdm_1_1UIbuilder.html">bdm::UIbuilder</a></td><td><code> [inline]</code></td></tr> 
                  
    
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                        78 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:31 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8080<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          119119<li><a class="el" href="arx__ui_8h-source.html">arx_ui.h</a></ul> 
                  
    
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                        121 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:31 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          123123<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7676  <tr class="memlist"><td><a class="el" href="classbdm_1_1UIbuilder.html#c75103dd58395644e80f1eea886c656b">UIbuilder</a>(const string &amp;typ)</td><td><a class="el" href="classbdm_1_1UIbuilder.html">bdm::UIbuilder</a></td><td><code> [inline]</code></td></tr> 
                  
    
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                          8080<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          130130<li><a class="el" href="libDS__ui_8h-source.html">libDS_ui.h</a></ul> 
                  
    
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                        132 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:31 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          134134<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          110110  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                          114114<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888<p> 
                  
    
                          8989Regression of the following kind: <p class="formulaDsp"> 
                  
    
                
                      
    
                        90 <img class="formulaDsp" alt="\[ y_t = \theta_1 \psi_1 + \theta_2 + \psi_2 +\ldots + \theta_n \psi_n + r e_t \]" src="form_61.png"> 
                      
    
                        91 <p> 
                      
    
                        92  where unknown parameters <code>rv</code> are <img class="formulaInl" alt="$[\theta r]$" src="form_51.png">, regression vector <img class="formulaInl" alt="$\psi=\psi(y_{1:t},u_{1:t})$" src="form_52.png"> is a known function of past outputs and exogeneous variables <img class="formulaInl" alt="$u_t$" src="form_53.png">. Distrubances <img class="formulaInl" alt="$e_t$" src="form_54.png"> are supposed to be normally distributed: <p class="formulaDsp"> 
                      
    
                        93 <img class="formulaDsp" alt="\[ e_t \sim \mathcal{N}(0,1). \]" src="form_62.png"> 
                      
    
                      
    
                         90<img class="formulaDsp" alt="\[ y_t = \theta_1 \psi_1 + \theta_2 + \psi_2 +\ldots + \theta_n \psi_n + r e_t \]" src="form_0.png"> 
                      
    
                         91<p> 
                      
    
                         92 where unknown parameters <code>rv</code> are <img class="formulaInl" alt="$[\theta r]$" src="form_1.png">, regression vector <img class="formulaInl" alt="$\psi=\psi(y_{1:t},u_{1:t})$" src="form_2.png"> is a known function of past outputs and exogeneous variables <img class="formulaInl" alt="$u_t$" src="form_3.png">. Distrubances <img class="formulaInl" alt="$e_t$" src="form_4.png"> are supposed to be normally distributed: <p class="formulaDsp"> 
                      
    
                         93<img class="formulaDsp" alt="\[ e_t \sim \mathcal{N}(0,1). \]" src="form_5.png"> 
                      
    
                
                  
    
                          9494<p> 
                  
    
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                          140140void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ARX.html#17e7fe14654ab3c449846c3f43e66169">bayes</a> (const vec &amp;dt, const double w)</td></tr> 
                  
    
                          141141 
                  
    
                
                      
    
                        142 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Weighted Bayes <img class="formulaInl" alt="$ dt = [y_t psi_t] $" src="form_119.png">. <br></td></tr> 
                      
    
                      
    
                         142<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Weighted Bayes <img class="formulaInl" alt="$ dt = [y_t psi_t] $" src="form_8.png">. <br></td></tr> 
                      
    
                
                  
    
                          143143<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ARX.html#8bdf2974052e8ce74eb0d4f3791c58a3">bayes</a> (const vec &amp;dt)</td></tr> 
                  
    
                          144144 
                  
    
                
              
                
    
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                          213213<a class="el" href="classbdm_1_1egiw.html">egiw</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ARX.html#11474a627367f81b76830cb8477cf026">est</a></td></tr> 
                  
    
                          214214 
                  
    
                
                      
    
                        215 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Posterior estimate of <img class="formulaInl" alt="$\theta,r$" src="form_57.png"> in the form of Normal-inverse Wishart density. <br></td></tr> 
                      
    
                      
    
                         215<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Posterior estimate of <img class="formulaInl" alt="$\theta,r$" src="form_7.png"> in the form of Normal-inverse Wishart density. <br></td></tr> 
                      
    
                
                  
    
                          216216<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="de5b7d83ff5d3f5af2f80068db0abdfd"></a><!-- doxytag: member="bdm::ARX::V" ref="de5b7d83ff5d3f5af2f80068db0abdfd" args="" --> 
                  
    
                          217217<a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ARX.html#de5b7d83ff5d3f5af2f80068db0abdfd">V</a></td></tr> 
                  
    
                
              
                
    
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                          386386 
                  
    
                          387387<p> 
                  
    
                
                      
    
                        388 description of modelled data <img class="formulaInl" alt="$ y_t $" src="form_118.png"> in the likelihood function Do NOT access directly, only via <code>get_yrv()</code>.  
                      
    
                      
    
                         388description of modelled data <img class="formulaInl" alt="$ y_t $" src="form_6.png"> in the likelihood function Do NOT access directly, only via <code>get_yrv()</code>.  
                      
    
                
                  
    
                          389389</div> 
                  
    
                          390390</div><p> 
                  
    
                
              
                
    
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                          392392<li><a class="el" href="arx_8h-source.html">arx.h</a><li>bdm/estim/arx.cpp</ul> 
                  
    
                          393393</div> 
                  
    
                
                      
    
                        394 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:33 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         394<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:31 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          395395<a href="http://www.doxygen.org/index.html"> 
                  
    
                          396396<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          100100  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          101101</table></div> 
                  
    
                
                      
    
                        102 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:49 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         102<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:42 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          103103<a href="http://www.doxygen.org/index.html"> 
                  
    
                          104104<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          106106void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ArxDS.html#57dfa26b23cc03d53b123fa7e0474b19">step</a> ()</td></tr> 
                  
    
                          107107 
                  
    
                
                      
    
                        108 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Moves from <img class="formulaInl" alt="$ t $" src="form_110.png"> to <img class="formulaInl" alt="$ t+1 $" src="form_111.png">, i.e. perfroms the actions and reads response of the system. <br></td></tr> 
                      
    
                      
    
                         108<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Moves from <img class="formulaInl" alt="$ t $" src="form_47.png"> to <img class="formulaInl" alt="$ t+1 $" src="form_48.png">, i.e. perfroms the actions and reads response of the system. <br></td></tr> 
                      
    
                
                  
    
                          109109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c8b418677a48041adacac8e8e9c9849"></a><!-- doxytag: member="bdm::ArxDS::ArxDS" ref="7c8b418677a48041adacac8e8e9c9849" args="()" --> 
                  
    
                          110110&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ArxDS.html#7c8b418677a48041adacac8e8e9c9849">ArxDS</a> ()</td></tr> 
                  
    
                
              
                
    
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                          147147vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ArxDS.html#a11a3f3fbeea1d17b66b073017964597">H</a></td></tr> 
                  
    
                          148148 
                  
    
                
                      
    
                        149 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">History, ordered as <img class="formulaInl" alt="$[y_t, u_t, y_{t-1 }, u_{t-1}, \ldots]$" src="form_103.png">. <br></td></tr> 
                      
    
                      
    
                         149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">History, ordered as <img class="formulaInl" alt="$[y_t, u_t, y_{t-1 }, u_{t-1}, \ldots]$" src="form_51.png">. <br></td></tr> 
                      
    
                
                  
    
                          150150<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="392b87be85675cb3d55fa4953d671bb5"></a><!-- doxytag: member="bdm::ArxDS::U" ref="392b87be85675cb3d55fa4953d671bb5" args="" --> 
                  
    
                          151151vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ArxDS.html#392b87be85675cb3d55fa4953d671bb5">U</a></td></tr> 
                  
    
                
              
                
    
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                          203203<li><a class="el" href="libDS_8h-source.html">libDS.h</a><li>libDS.cpp</ul> 
                  
    
                          204204</div> 
                  
    
                
                      
    
                        205 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:49 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         205<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:42 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          206206<a href="http://www.doxygen.org/index.html"> 
                  
    
                          207207<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8989  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9090</table></div> 
                  
    
                
                      
    
                        91 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:48 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         91<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:41 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9292<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9393<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          130130virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          131131 
                  
    
                
                      
    
                        132 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         132<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          133133<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::BM::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          134134virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          252252<li><a class="el" href="libBM_8h-source.html">libBM.h</a><li>libBM.cpp</ul> 
                  
    
                          253253</div> 
                  
    
                
                      
    
                        254 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:48 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         254<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:41 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          255255<a href="http://www.doxygen.org/index.html"> 
                  
    
                          256256<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9797  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9898</table></div> 
                  
    
                
                      
    
                        99 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:50 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         99<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:43 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          100100<a href="http://www.doxygen.org/index.html"> 
                  
    
                          101101<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          134134virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          135135 
                  
    
                
                      
    
                        136 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         136<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          137137<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::BMEF::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          138138virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          266266<li><a class="el" href="libEF_8h-source.html">libEF.h</a><li>libEF.cpp</ul> 
                  
    
                          267267</div> 
                  
    
                
                      
    
                        268 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:50 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         268<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:43 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          269269<a href="http://www.doxygen.org/index.html"> 
                  
    
                          270270<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7575  <tr class="memlist"><td><a class="el" href="classbdm_1_1BMcond.html#7d68d46cfcc36f9cc07a15a5403b5a1a">~BMcond</a>()</td><td><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          7676</table></div> 
                  
    
                
                      
    
                        77 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:48 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         77<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:42 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          7878<a href="http://www.doxygen.org/index.html"> 
                  
    
                          7979<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9090Conditional Bayesian Filter.  
                  
    
                          9191<p> 
                  
    
                
                      
    
                        92 Evaluates conditional filtering density <img class="formulaInl" alt="$f(rv|rvc,data)$" src="form_36.png"> for a given <code>rvc</code> which is specified in each step by calling function <code>condition</code>.<p> 
                      
    
                      
    
                         92Evaluates conditional filtering density <img class="formulaInl" alt="$f(rv|rvc,data)$" src="form_40.png"> for a given <code>rvc</code> which is specified in each step by calling function <code>condition</code>.<p> 
                      
    
                
                  
    
                          9393This is an interface class used to assure that certain <a class="el" href="classbdm_1_1BM.html" title="Bayesian Model of a system, i.e. all uncertainty is modeled by probabilities.">BM</a> has operation <code>condition</code> . <table border="0" cellpadding="0" cellspacing="0"> 
                  
    
                          9494<tr><td></td></tr> 
                  
    
                
              
                
    
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                          119119<li><a class="el" href="libBM_8h-source.html">libBM.h</a></ul> 
                  
    
                          120120</div> 
                  
    
                
                      
    
                        121 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:48 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         121<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:42 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          122122<a href="http://www.doxygen.org/index.html"> 
                  
    
                          123123<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8686  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          8787</table></div> 
                  
    
                
                      
    
                        88 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:47 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         88<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:41 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8989<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9090<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          113113virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1DS.html#9a14c64d881e838ddc3a5617ee8a973b">step</a> ()=0</td></tr> 
                  
    
                          114114 
                  
    
                
                      
    
                        115 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Moves from <img class="formulaInl" alt="$ t $" src="form_110.png"> to <img class="formulaInl" alt="$ t+1 $" src="form_111.png">, i.e. perfroms the actions and reads response of the system. <br></td></tr> 
                      
    
                      
    
                         115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Moves from <img class="formulaInl" alt="$ t $" src="form_47.png"> to <img class="formulaInl" alt="$ t+1 $" src="form_48.png">, i.e. perfroms the actions and reads response of the system. <br></td></tr> 
                      
    
                
                  
    
                          116116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3c9e417d85052396fe74c164857ee67e"></a><!-- doxytag: member="bdm::DS::log_add" ref="3c9e417d85052396fe74c164857ee67e" args="(logger &amp;L)" --> 
                  
    
                          117117virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1DS.html#3c9e417d85052396fe74c164857ee67e">log_add</a> (<a class="el" href="classbdm_1_1logger.html">logger</a> &amp;L)</td></tr> 
                  
    
                
              
                
    
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                          156156<li><a class="el" href="libBM_8h-source.html">libBM.h</a></ul> 
                  
    
                          157157</div> 
                  
    
                
                      
    
                        158 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:47 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         158<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:41 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          159159<a href="http://www.doxygen.org/index.html"> 
                  
    
                          160160<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          115115  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          116116</table></div> 
                  
    
                
                      
    
                        117 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:36 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         117<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:33 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          119119<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          145145virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          146146 
                  
    
                
                      
    
                        147 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         147<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          148148<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKF::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          149149virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          302302<li><a class="el" href="libKF_8h-source.html">libKF.h</a></ul> 
                  
    
                          303303</div> 
                  
    
                
                      
    
                        304 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:36 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         304<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:33 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          305305<a href="http://www.doxygen.org/index.html"> 
                  
    
                          306306<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          121121  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          122122</table></div> 
                  
    
                
                      
    
                        123 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:36 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         123<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:33 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          124124<a href="http://www.doxygen.org/index.html"> 
                  
    
                          125125<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          148148virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          149149 
                  
    
                
                      
    
                        150 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         150<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          151151<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKFCh::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          152152virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          321321<li><a class="el" href="libKF_8h-source.html">libKF.h</a><li>libKF.cpp</ul> 
                  
    
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                        323 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:36 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         323<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:33 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          324324<a href="http://www.doxygen.org/index.html"> 
                  
    
                          325325<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          127127  <tr class="memlist"><td><a class="el" href="classbdm_1_1BMcond.html#7d68d46cfcc36f9cc07a15a5403b5a1a">~BMcond</a>()</td><td><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          128128</table></div> 
                  
    
                
                      
    
                        129 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:34 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         129<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:31 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          130130<a href="http://www.doxygen.org/index.html"> 
                  
    
                          131131<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          155155virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          156156 
                  
    
                
                      
    
                        157 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         157<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          158158<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKFCh_cond::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          159159virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          332332<li><a class="el" href="ekf__templ_8h-source.html">ekf_templ.h</a></ul> 
                  
    
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                        334 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:34 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         334<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:31 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          335335<a href="http://www.doxygen.org/index.html"> 
                  
    
                          336336<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          127127  <tr class="memlist"><td><a class="el" href="classbdm_1_1BMcond.html#7d68d46cfcc36f9cc07a15a5403b5a1a">~BMcond</a>()</td><td><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        129 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:33 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         129<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:31 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          131131<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          155155virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          156156 
                  
    
                
                      
    
                        157 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         157<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          158158<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKFCh_unQ::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          159159virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          332332<li><a class="el" href="ekf__templ_8h-source.html">ekf_templ.h</a></ul> 
                  
    
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                        334 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:33 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         334<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:31 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          336336<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          119119  <tr class="memlist"><td><a class="el" href="classbdm_1_1BMcond.html#7d68d46cfcc36f9cc07a15a5403b5a1a">~BMcond</a>()</td><td><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        121 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:33 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          123123<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          142142virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          143143 
                  
    
                
                      
    
                        144 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         144<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          145145<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKFful_unQR::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          146146virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          290290<li><a class="el" href="ekf__templ_8h-source.html">ekf_templ.h</a></ul> 
                  
    
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                        292 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:33 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          294294<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          113113  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        115 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:35 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          117117<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          134134virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          135135 
                  
    
                
                      
    
                        136 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         136<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          137137<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::EKFfull::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          138138virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          278278<li><a class="el" href="libKF_8h-source.html">libKF.h</a><li>libKF.cpp</ul> 
                  
    
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                        280 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:35 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          282282<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          119119  <tr class="memlist"><td><a class="el" href="classbdm_1_1BMcond.html#7d68d46cfcc36f9cc07a15a5403b5a1a">~BMcond</a>()</td><td><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        121 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:37 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          123123<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          146146virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          147147 
                  
    
                
                      
    
                        148 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         148<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          149149<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::KFcondQR::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          150150virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          307307<li><a class="el" href="libKF_8h-source.html">libKF.h</a><li>libKF.cpp</ul> 
                  
    
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                        309 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:37 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         309<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:34 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          310310<a href="http://www.doxygen.org/index.html"> 
                  
    
                          311311<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          119119  <tr class="memlist"><td><a class="el" href="classbdm_1_1BMcond.html#7d68d46cfcc36f9cc07a15a5403b5a1a">~BMcond</a>()</td><td><a class="el" href="classbdm_1_1BMcond.html">bdm::BMcond</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          120120</table></div> 
                  
    
                
                      
    
                        121 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:37 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         121<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:34 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          122122<a href="http://www.doxygen.org/index.html"> 
                  
    
                          123123<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          146146virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          147147 
                  
    
                
                      
    
                        148 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         148<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          149149<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::KFcondR::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          150150virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          307307<li><a class="el" href="libKF_8h-source.html">libKF.h</a><li>libKF.cpp</ul> 
                  
    
                          308308</div> 
                  
    
                
                      
    
                        309 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:37 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         309<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:34 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          310310<a href="http://www.doxygen.org/index.html"> 
                  
    
                          311311<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          113113  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          114114</table></div> 
                  
    
                
                      
    
                        115 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:35 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         115<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:32 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          116116<a href="http://www.doxygen.org/index.html"> 
                  
    
                          117117<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9090<p> 
                  
    
                          9191Parameter evolution model:<p class="formulaDsp"> 
                  
    
                
                      
    
                        92 <img class="formulaDsp" alt="\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \]" src="form_6.png"> 
                      
    
                      
    
                         92<img class="formulaDsp" alt="\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \]" src="form_9.png"> 
                      
    
                
                  
    
                          9393<p> 
                  
    
                          9494 Observation model: <p class="formulaDsp"> 
                  
    
                
                      
    
                        95 <img class="formulaDsp" alt="\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \]" src="form_7.png"> 
                      
    
                      
    
                         95<img class="formulaDsp" alt="\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \]" src="form_10.png"> 
                      
    
                
                  
    
                          9696<p> 
                  
    
                          9797 Where $e_t$ and $w_t$ are independent vectors Normal(0,1)-distributed disturbances. <table border="0" cellpadding="0" cellspacing="0"> 
                  
    
                
              
                
    
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                          150150virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          151151 
                  
    
                
                      
    
                        152 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         152<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          153153<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::Kalman::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          154154virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          307307<li><a class="el" href="libKF_8h-source.html">libKF.h</a></ul> 
                  
    
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                        309 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:35 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         309<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:32 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          310310<a href="http://www.doxygen.org/index.html"> 
                  
    
                          311311<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          117117  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          118118</table></div> 
                  
    
                
                      
    
                        119 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:35 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         119<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:32 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          120120<a href="http://www.doxygen.org/index.html"> 
                  
    
                          121121<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          173173virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          174174 
                  
    
                
                      
    
                        175 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         175<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          176176<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::KalmanCh::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          177177virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          309309<p> 
                  
    
                          310310The following equality hold::<p class="formulaDsp"> 
                  
    
                
                      
    
                        311 <img class="formulaDsp" alt="\[ \left[\begin{array}{cc} R^{0.5}\\ P_{t|t-1}^{0.5}C' &amp; P_{t|t-1}^{0.5}CA'\\ &amp; Q^{0.5}\end{array}\right]<\mathrm{orth.oper.}>=\left[\begin{array}{cc} R_{y}^{0.5} &amp; KA'\\ &amp; P_{t+1|t}^{0.5}\\ \\\end{array}\right]\]" src="form_17.png"> 
                      
    
                      
    
                         311<img class="formulaDsp" alt="\[ \left[\begin{array}{cc} R^{0.5}\\ P_{t|t-1}^{0.5}C' &amp; P_{t|t-1}^{0.5}CA'\\ &amp; Q^{0.5}\end{array}\right]<\mathrm{orth.oper.}>=\left[\begin{array}{cc} R_{y}^{0.5} &amp; KA'\\ &amp; P_{t+1|t}^{0.5}\\ \\\end{array}\right]\]" src="form_11.png"> 
                      
    
                
                  
    
                          312312<p> 
                  
    
                          313313<p> 
                  
    
                
              
                
    
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                          370370<li><a class="el" href="libKF_8h-source.html">libKF.h</a><li>libKF.cpp</ul> 
                  
    
                          371371</div> 
                  
    
                
                      
    
                        372 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:35 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         372<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:32 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          373373<a href="http://www.doxygen.org/index.html"> 
                  
    
                          374374<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9090  <tr bgcolor="#f0f0f0"><td><b>R</b> (defined in <a class="el" href="classbdm_1_1KalmanFull.html">bdm::KalmanFull</a>)</td><td><a class="el" href="classbdm_1_1KalmanFull.html">bdm::KalmanFull</a></td><td><code> [protected]</code></td></tr> 
                  
    
                          9191</table></div> 
                  
    
                
                      
    
                        92 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:34 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         92<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:32 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9393<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9494<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          163163<li><a class="el" href="libKF_8h-source.html">libKF.h</a><li>libKF.cpp</ul> 
                  
    
                          164164</div> 
                  
    
                
                      
    
                        165 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:34 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         165<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:32 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          166166<a href="http://www.doxygen.org/index.html"> 
                  
    
                          167167<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          104104  <tr bgcolor="#f0f0f0"><td><b>~MPF</b>() (defined in <a class="el" href="classbdm_1_1MPF.html">bdm::MPF&lt; BM_T &gt;</a>)</td><td><a class="el" href="classbdm_1_1MPF.html">bdm::MPF&lt; BM_T &gt;</a></td><td><code> [inline]</code></td></tr> 
                  
    
                          105105</table></div> 
                  
    
                
                      
    
                        106 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:38 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         106<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:34 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          107107<a href="http://www.doxygen.org/index.html"> 
                  
    
                          108108<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          142142virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          143143 
                  
    
                
                      
    
                        144 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         144<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          145145<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::MPF::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          146146virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          288288<li><a class="el" href="libPF_8h-source.html">libPF.h</a></ul> 
                  
    
                          289289</div> 
                  
    
                
                      
    
                        290 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:38 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         290<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:34 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          291291<a href="http://www.doxygen.org/index.html"> 
                  
    
                          292292<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8989  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9090</table></div> 
                  
    
                
                      
    
                        91 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:49 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         91<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:42 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9292<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9393<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8686Memory storage of off-line data column-wise.  
                  
    
                          8787<p> 
                  
    
                
                      
    
                        88 The data are stored in an internal matrix <code>Data</code> . Each column of Data corresponds to one discrete time observation <img class="formulaInl" alt="$t$" src="form_38.png">. Access to this matrix is via indices <code>rowid</code> and <code>delays</code>.<p> 
                      
    
                      
    
                         88The data are stored in an internal matrix <code>Data</code> . Each column of Data corresponds to one discrete time observation <img class="formulaInl" alt="$t$" src="form_50.png">. Access to this matrix is via indices <code>rowid</code> and <code>delays</code>.<p> 
                      
    
                
                  
    
                          8989The data can be loaded from a file. <table border="0" cellpadding="0" cellspacing="0"> 
                  
    
                          9090<tr><td></td></tr> 
                  
    
                
              
                
    
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                          111111void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1MemDS.html#21916feb3e5ff960855c09b06a0d279b">step</a> ()</td></tr> 
                  
    
                          112112 
                  
    
                
                      
    
                        113 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Moves from <img class="formulaInl" alt="$ t $" src="form_110.png"> to <img class="formulaInl" alt="$ t+1 $" src="form_111.png">, i.e. perfroms the actions and reads response of the system. <br></td></tr> 
                      
    
                      
    
                         113<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Moves from <img class="formulaInl" alt="$ t $" src="form_47.png"> to <img class="formulaInl" alt="$ t+1 $" src="form_48.png">, i.e. perfroms the actions and reads response of the system. <br></td></tr> 
                      
    
                
                  
    
                          114114<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="84cfba80cb32d07be94690658175e9c4"></a><!-- doxytag: member="bdm::MemDS::MemDS" ref="84cfba80cb32d07be94690658175e9c4" args="(mat &amp;Dat, ivec &amp;rowid, ivec &amp;delays)" --> 
                  
    
                          115115&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1MemDS.html#84cfba80cb32d07be94690658175e9c4">MemDS</a> (mat &amp;Dat, ivec &amp;rowid, ivec &amp;delays)</td></tr> 
                  
    
                
              
                
    
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                          162162<li><a class="el" href="libDS_8h-source.html">libDS.h</a><li>libDS.cpp</ul> 
                  
    
                          163163</div> 
                  
    
                
                      
    
                        164 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:49 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         164<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:42 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          166166<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          112112  <tr bgcolor="#f0f0f0"><td><b>~MixEF</b>() (defined in <a class="el" href="classbdm_1_1MixEF.html">bdm::MixEF</a>)</td><td><a class="el" href="classbdm_1_1MixEF.html">bdm::MixEF</a></td><td><code> [inline]</code></td></tr> 
                  
    
                          113113</table></div> 
                  
    
                
                      
    
                        114 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:39 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         114<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:35 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          116116<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888<p> 
                  
    
                          8989An approximate estimation method for models with latent discrete variable, such as mixture models of the following kind: <p class="formulaDsp"> 
                  
    
                
                      
    
                        90 <img class="formulaDsp" alt="\[ f(y_t|\psi_t, \Theta) = \sum_{i=1}^{n} w_i f(y_t|\psi_t, \theta_i) \]" src="form_66.png"> 
                      
    
                        91 <p> 
                      
    
                        92  where <img class="formulaInl" alt="$\psi$" src="form_67.png"> is a known function of past outputs, <img class="formulaInl" alt="$w=[w_1,\ldots,w_n]$" src="form_68.png"> are component weights, and component parameters <img class="formulaInl" alt="$\theta_i$" src="form_69.png"> are assumed to be mutually independent. <img class="formulaInl" alt="$\Theta$" src="form_70.png"> is an aggregation af all component parameters and weights, i.e. <img class="formulaInl" alt="$\Theta = [\theta_1,\ldots,\theta_n,w]$" src="form_71.png">.<p> 
                      
    
                      
    
                         90<img class="formulaDsp" alt="\[ f(y_t|\psi_t, \Theta) = \sum_{i=1}^{n} w_i f(y_t|\psi_t, \theta_i) \]" src="form_12.png"> 
                      
    
                         91<p> 
                      
    
                         92 where <img class="formulaInl" alt="$\psi$" src="form_13.png"> is a known function of past outputs, <img class="formulaInl" alt="$w=[w_1,\ldots,w_n]$" src="form_14.png"> are component weights, and component parameters <img class="formulaInl" alt="$\theta_i$" src="form_15.png"> are assumed to be mutually independent. <img class="formulaInl" alt="$\Theta$" src="form_16.png"> is an aggregation af all component parameters and weights, i.e. <img class="formulaInl" alt="$\Theta = [\theta_1,\ldots,\theta_n,w]$" src="form_17.png">.<p> 
                      
    
                
                  
    
                          9393The characteristic feature of this model is that if the exact values of the latent variable were known, estimation of the parameters can be handled by a single model. For example, for the case of mixture models, posterior density for each component parameters would be a BayesianModel from Exponential Family.<p> 
                  
    
                          9494This class uses EM-style type algorithms for estimation of its parameters. Under this simplification, the posterior density is a product of exponential family members, hence under EM-style approximate estimation this class itself belongs to the exponential family.<p> 
                  
    
                
              
                
    
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                          132132<a class="el" href="classbdm_1_1emix.html">emix</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1MixEF.html#edc50e9640f049b846084748b18469a2">epredictor</a> () const </td></tr> 
                  
    
                          133133 
                  
    
                
                      
    
                        134 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         134<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          135135<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f0dfb4375fef4e61c4cb062e5bac7c8c"></a><!-- doxytag: member="bdm::MixEF::flatten" ref="f0dfb4375fef4e61c4cb062e5bac7c8c" args="(const BMEF *M2)" --> 
                  
    
                          136136void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1MixEF.html#f0dfb4375fef4e61c4cb062e5bac7c8c">flatten</a> (const <a class="el" href="classbdm_1_1BMEF.html">BMEF</a> *M2)</td></tr> 
                  
    
                
              
                
    
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                          202202Array&lt; <a class="el" href="classbdm_1_1BMEF.html">BMEF</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1MixEF.html#90c21ab5a2af56d4b49e2eaef6eccc08">Coms</a></td></tr> 
                  
    
                          203203 
                  
    
                
                      
    
                        204 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Models for Components of <img class="formulaInl" alt="$\theta_i$" src="form_69.png">. <br></td></tr> 
                      
    
                      
    
                         204<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Models for Components of <img class="formulaInl" alt="$\theta_i$" src="form_15.png">. <br></td></tr> 
                      
    
                
                  
    
                          205205<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e39faa70cebadc3296bd249040105e86"></a><!-- doxytag: member="bdm::MixEF::weights" ref="e39faa70cebadc3296bd249040105e86" args="" --> 
                  
    
                          206206<a class="el" href="classbdm_1_1multiBM.html">multiBM</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1MixEF.html#e39faa70cebadc3296bd249040105e86">weights</a></td></tr> 
                  
    
                
              
                
    
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                          334334<li><a class="el" href="mixef_8h-source.html">mixef.h</a><li>mixef.cpp</ul> 
                  
    
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                        336 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:39 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         336<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:35 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          337337<a href="http://www.doxygen.org/index.html"> 
                  
    
                          338338<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:38 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          129129virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          130130 
                  
    
                
                      
    
                        131 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         131<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          132132<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::PF::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          133133virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          303303<li><a class="el" href="libPF_8h-source.html">libPF.h</a><li>libPF.cpp</ul> 
                  
    
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                        305 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:38 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         305<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:34 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          307307<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:43 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         103<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:38 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          329329<li><a class="el" href="libBM_8h-source.html">libBM.h</a><li>libBM.cpp</ul> 
                  
    
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                        331 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:43 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          333333<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7575  <tr class="memlist"><td><a class="el" href="classbdm_1_1UIbuilder.html#c75103dd58395644e80f1eea886c656b">UIbuilder</a>(const string &amp;typ)</td><td><a class="el" href="classbdm_1_1UIbuilder.html">bdm::UIbuilder</a></td><td><code> [inline]</code></td></tr> 
                  
    
                          7676</table></div> 
                  
    
                
                      
    
                        77 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:58 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         77<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:49 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          7979<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        119 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:58 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          121121<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7070  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          7171</table></div> 
                  
    
                
                      
    
                        72 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:42 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         72<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:37 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          7474<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:42 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          8989</table></div> 
                  
    
                
                      
    
                        90 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:57 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         90<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          9292<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8585<p> 
                  
    
                          8686<a href="classbdm_1_1bilinfn-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
                  
    
                
                      
    
                        87 Class representing function <img class="formulaInl" alt="$f(x,u) = Ax+Bu$" src="form_48.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         87Class representing function <img class="formulaInl" alt="$f(x,u) = Ax+Bu$" src="form_82.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          8888<tr><td></td></tr> 
                  
    
                          8989<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          9191vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#188f31066bd72e1bf0ddacd1eb0e6af3">eval</a> (const vec &amp;cond)</td></tr> 
                  
    
                          9292 
                  
    
                
                      
    
                        93 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_49.png"> (VS: Do we really need common eval? ). <br></td></tr> 
                      
    
                      
    
                         93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_83.png"> (VS: Do we really need common eval? ). <br></td></tr> 
                      
    
                
                  
    
                          9494<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1b3c8f5949f13d86d2661e191d4b369b"></a><!-- doxytag: member="bdm::bilinfn::_dimx" ref="1b3c8f5949f13d86d2661e191d4b369b" args="() const " --> 
                  
    
                          9595int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#1b3c8f5949f13d86d2661e191d4b369b">_dimx</a> () const </td></tr> 
                  
    
                
              
                
    
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                          123123vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#e36a16e72e7f9fedf3cb18d2d5505a24">eval</a> (const vec &amp;x0, const vec &amp;u0)</td></tr> 
                  
    
                          124124 
                  
    
                
                      
    
                        125 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_49.png">. <br></td></tr> 
                      
    
                      
    
                         125<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_83.png">. <br></td></tr> 
                      
    
                
                  
    
                          126126<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#33066f1054dd259df2ec5fafae4b46e6">dfdx_cond</a> (const vec &amp;x0, const vec &amp;u0, mat &amp;F, bool full)</td></tr> 
                  
    
                          127127 
                  
    
                
                      
    
                        128 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_1.png"> and writes result into <code>A</code> .  <a href="#33066f1054dd259df2ec5fafae4b46e6"></a><br></td></tr> 
                      
    
                      
    
                         128<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_84.png"> and writes result into <code>A</code> .  <a href="#33066f1054dd259df2ec5fafae4b46e6"></a><br></td></tr> 
                      
    
                
                  
    
                          129129<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#9cfe2f1c115ba7c3c75849a10a4f2c08">dfdu_cond</a> (const vec &amp;x0, const vec &amp;u0, mat &amp;F, bool full=true)</td></tr> 
                  
    
                          130130 
                  
    
                
                      
    
                        131 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_2.png"> and writes result into <code>A</code> .  <a href="#9cfe2f1c115ba7c3c75849a10a4f2c08"></a><br></td></tr> 
                      
    
                      
    
                         131<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_86.png"> and writes result into <code>A</code> .  <a href="#9cfe2f1c115ba7c3c75849a10a4f2c08"></a><br></td></tr> 
                      
    
                
                  
    
                          132132<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> 
                  
    
                          133133<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5f56547d8e9378b669d3cc19d7831cbb"></a><!-- doxytag: member="bdm::bilinfn::rvx" ref="5f56547d8e9378b669d3cc19d7831cbb" args="" --> 
                  
    
                
              
                
    
                  …
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                          191191 
                  
    
                          192192<p> 
                  
    
                
                      
    
                        193 Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_1.png"> and writes result into <code>A</code> .  
                      
    
                      
    
                         193Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_84.png"> and writes result into <code>A</code> .  
                      
    
                
                  
    
                          194194<p> 
                  
    
                          195195<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
                  …
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                          197197    <tr><td valign="top"></td><td valign="top"><em>full</em>&nbsp;</td><td>denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed. </td></tr> 
                  
    
                          198198    <tr><td valign="top"></td><td valign="top"><em>x0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$x$" src="form_28.png">, </td></tr> 
                  
    
                
                      
    
                        199     <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_50.png"> </td></tr> 
                      
    
                      
    
                         199    <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_85.png"> </td></tr> 
                      
    
                
                  
    
                          200200    <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>a place where the result will be stored. </td></tr> 
                  
    
                          201201  </table> 
                  
    
                
              
                
    
                  …
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                          244244 
                  
    
                          245245<p> 
                  
    
                
                      
    
                        246 Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_2.png"> and writes result into <code>A</code> .  
                      
    
                      
    
                         246Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_86.png"> and writes result into <code>A</code> .  
                      
    
                
                  
    
                          247247<p> 
                  
    
                          248248<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
                  …
                  …
                   
                
    
                  
            
                  
    
                          250250    <tr><td valign="top"></td><td valign="top"><em>full</em>&nbsp;</td><td>denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed. </td></tr> 
                  
    
                          251251    <tr><td valign="top"></td><td valign="top"><em>x0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$x$" src="form_28.png">, </td></tr> 
                  
    
                
                      
    
                        252     <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_50.png"> </td></tr> 
                      
    
                      
    
                         252    <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_85.png"> </td></tr> 
                      
    
                
                  
    
                          253253    <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>a place where the result will be stored. </td></tr> 
                  
    
                          254254  </table> 
                  
    
                
              
                
    
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                          262262<li><a class="el" href="libFN_8h-source.html">libFN.h</a><li>libFN.cpp</ul> 
                  
    
                          263263</div> 
                  
    
                
                      
    
                        264 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:57 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         264<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          265265<a href="http://www.doxygen.org/index.html"> 
                  
    
                          266266<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7474  <tr class="memlist"><td><a class="el" href="classbdm_1_1compositepdf.html#c71fc2c51f49d797e61f479f543c75ce">setrvc</a>(const RV &amp;rv, RV &amp;rvc)</td><td><a class="el" href="classbdm_1_1compositepdf.html">bdm::compositepdf</a></td><td></td></tr> 
                  
    
                          7575</table></div> 
                  
    
                
                      
    
                        76 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:47 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         76<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:41 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          7777<a href="http://www.doxygen.org/index.html"> 
                  
    
                          7878<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          142142<li><a class="el" href="libBM_8h-source.html">libBM.h</a><li>libBM.cpp</ul> 
                  
    
                          143143</div> 
                  
    
                
                      
    
                        144 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:47 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         144<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:41 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          145145<a href="http://www.doxygen.org/index.html"> 
                  
    
                          146146<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7676  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          7777</table></div> 
                  
    
                
                      
    
                        78 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:56 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         78<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          7979<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8080<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8484<p> 
                  
    
                          8585<a href="classbdm_1_1constfn-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
                  
    
                
                      
    
                        86 class representing function <img class="formulaInl" alt="$f(x) = a$" src="form_45.png">, here <code>rv</code> is empty <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         86class representing function <img class="formulaInl" alt="$f(x) = a$" src="form_79.png">, here <code>rv</code> is empty <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          8787<tr><td></td></tr> 
                  
    
                          8888<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          112112<li><a class="el" href="libFN_8h-source.html">libFN.h</a></ul> 
                  
    
                          113113</div> 
                  
    
                
                      
    
                        114 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:56 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         114<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          115115<a href="http://www.doxygen.org/index.html"> 
                  
    
                          116116<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8383  <tr class="memlist"><td><a class="el" href="classbdm_1_1datalink.html#240b37d793c6bdc32824ed0a0541b1eb">v2v_up</a></td><td><a class="el" href="classbdm_1_1datalink.html">bdm::datalink</a></td><td><code> [protected]</code></td></tr> 
                  
    
                          8484</table></div> 
                  
    
                
                      
    
                        85 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:46 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         85<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:40 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8686<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8787<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          139139<li><a class="el" href="libBM_8h-source.html">libBM.h</a></ul> 
                  
    
                          140140</div> 
                  
    
                
                      
    
                        141 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:45 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         141<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:40 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          142142<a href="http://www.doxygen.org/index.html"> 
                  
    
                          143143<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787  <tr class="memlist"><td><a class="el" href="classbdm_1_1datalink.html#240b37d793c6bdc32824ed0a0541b1eb">v2v_up</a></td><td><a class="el" href="classbdm_1_1datalink.html">bdm::datalink</a></td><td><code> [protected]</code></td></tr> 
                  
    
                          8888</table></div> 
                  
    
                
                      
    
                        89 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:46 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         89<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:40 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9090<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9191<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          151151<li><a class="el" href="libBM_8h-source.html">libBM.h</a></ul> 
                  
    
                          152152</div> 
                  
    
                
                      
    
                        153 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:46 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         153<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:40 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          154154<a href="http://www.doxygen.org/index.html"> 
                  
    
                          155155<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8585  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          8686</table></div> 
                  
    
                
                      
    
                        87 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:57 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         87<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8888<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8989<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8585<p> 
                  
    
                          8686<a href="classbdm_1_1diffbifn-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
                  
    
                
                      
    
                        87 Class representing a differentiable function of two variables <img class="formulaInl" alt="$f(x,u)$" src="form_47.png">.  
                      
    
                      
    
                         87Class representing a differentiable function of two variables <img class="formulaInl" alt="$f(x,u)$" src="form_81.png">.  
                      
    
                
                  
    
                          8888<p> 
                  
    
                          8989Function of two variables.<p> 
                  
    
                
              
                
    
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                          9494vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#188f31066bd72e1bf0ddacd1eb0e6af3">eval</a> (const vec &amp;cond)</td></tr> 
                  
    
                          9595 
                  
    
                
                      
    
                        96 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_49.png"> (VS: Do we really need common eval? ). <br></td></tr> 
                      
    
                      
    
                         96<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_83.png"> (VS: Do we really need common eval? ). <br></td></tr> 
                      
    
                
                  
    
                          9797<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b5462c05b58cd38367ff946836bb82d3"></a><!-- doxytag: member="bdm::diffbifn::eval" ref="b5462c05b58cd38367ff946836bb82d3" args="(const vec &amp;x0, const vec &amp;u0)" --> 
                  
    
                          9898virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#b5462c05b58cd38367ff946836bb82d3">eval</a> (const vec &amp;x0, const vec &amp;u0)</td></tr> 
                  
    
                          9999 
                  
    
                
                      
    
                        100 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_49.png">. <br></td></tr> 
                      
    
                      
    
                         100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_83.png">. <br></td></tr> 
                      
    
                
                  
    
                          101101<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#651184f808a35f236dbfea21aca1b6ac">dfdx_cond</a> (const vec &amp;x0, const vec &amp;u0, mat &amp;A, bool full=true)</td></tr> 
                  
    
                          102102 
                  
    
                
                      
    
                        103 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_1.png"> and writes result into <code>A</code> .  <a href="#651184f808a35f236dbfea21aca1b6ac"></a><br></td></tr> 
                      
    
                      
    
                         103<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_84.png"> and writes result into <code>A</code> .  <a href="#651184f808a35f236dbfea21aca1b6ac"></a><br></td></tr> 
                      
    
                
                  
    
                          104104<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#6ea1dc7a482601b29c5ba36a52d20d07">dfdu_cond</a> (const vec &amp;x0, const vec &amp;u0, mat &amp;A, bool full=true)</td></tr> 
                  
    
                          105105 
                  
    
                
                      
    
                        106 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_2.png"> and writes result into <code>A</code> .  <a href="#6ea1dc7a482601b29c5ba36a52d20d07"></a><br></td></tr> 
                      
    
                      
    
                         106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_86.png"> and writes result into <code>A</code> .  <a href="#6ea1dc7a482601b29c5ba36a52d20d07"></a><br></td></tr> 
                      
    
                
                  
    
                          107107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="92ff29d748e445b440453a38d0b09681"></a><!-- doxytag: member="bdm::diffbifn::diffbifn" ref="92ff29d748e445b440453a38d0b09681" args="()" --> 
                  
    
                          108108&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#92ff29d748e445b440453a38d0b09681">diffbifn</a> ()</td></tr> 
                  
    
                
              
                
    
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                          186186 
                  
    
                          187187<p> 
                  
    
                
                      
    
                        188 Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_1.png"> and writes result into <code>A</code> .  
                      
    
                      
    
                         188Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_84.png"> and writes result into <code>A</code> .  
                      
    
                
                  
    
                          189189<p> 
                  
    
                          190190<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
                  …
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                          192192    <tr><td valign="top"></td><td valign="top"><em>full</em>&nbsp;</td><td>denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed. </td></tr> 
                  
    
                          193193    <tr><td valign="top"></td><td valign="top"><em>x0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$x$" src="form_28.png">, </td></tr> 
                  
    
                
                      
    
                        194     <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_50.png"> </td></tr> 
                      
    
                      
    
                         194    <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_85.png"> </td></tr> 
                      
    
                
                  
    
                          195195    <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>a place where the result will be stored. </td></tr> 
                  
    
                          196196  </table> 
                  
    
                
              
                
    
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                          241241 
                  
    
                          242242<p> 
                  
    
                
                      
    
                        243 Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_2.png"> and writes result into <code>A</code> .  
                      
    
                      
    
                         243Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_86.png"> and writes result into <code>A</code> .  
                      
    
                
                  
    
                          244244<p> 
                  
    
                          245245<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
                  …
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                          247247    <tr><td valign="top"></td><td valign="top"><em>full</em>&nbsp;</td><td>denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed. </td></tr> 
                  
    
                          248248    <tr><td valign="top"></td><td valign="top"><em>x0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$x$" src="form_28.png">, </td></tr> 
                  
    
                
                      
    
                        249     <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_50.png"> </td></tr> 
                      
    
                      
    
                         249    <tr><td valign="top"></td><td valign="top"><em>u0</em>&nbsp;</td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_85.png"> </td></tr> 
                      
    
                
                  
    
                          250250    <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>a place where the result will be stored. </td></tr> 
                  
    
                          251251  </table> 
                  
    
                
              
                
    
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                          259259<li><a class="el" href="libFN_8h-source.html">libFN.h</a></ul> 
                  
    
                          260260</div> 
                  
    
                
                      
    
                        261 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:57 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         261<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          262262<a href="http://www.doxygen.org/index.html"> 
                  
    
                          263263<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          8888</table></div> 
                  
    
                
                      
    
                        89 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:58 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         89<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:49 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9090<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9191<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          255255<li><a class="el" href="loggers_8h-source.html">loggers.h</a><li>loggers.cpp</ul> 
                  
    
                          256256</div> 
                  
    
                
                      
    
                        257 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:58 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         257<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:49 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          258258<a href="http://www.doxygen.org/index.html"> 
                  
    
                          259259<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:51 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         103<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:44 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          104104<a href="http://www.doxygen.org/index.html"> 
                  
    
                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787Dirichlet posterior density.  
                  
    
                          8888<p> 
                  
    
                
                      
    
                        89 Continuous Dirichlet density of <img class="formulaInl" alt="$n$" src="form_73.png">-dimensional variable <img class="formulaInl" alt="$x$" src="form_28.png"> <p class="formulaDsp"> 
                      
    
                        90 <img class="formulaDsp" alt="\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} \]" src="form_76.png"> 
                      
    
                        91 <p> 
                      
    
                        92  where <img class="formulaInl" alt="$\gamma=\sum_i \beta_i$" src="form_77.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         89Continuous Dirichlet density of <img class="formulaInl" alt="$n$" src="form_56.png">-dimensional variable <img class="formulaInl" alt="$x$" src="form_28.png"> <p class="formulaDsp"> 
                      
    
                         90<img class="formulaDsp" alt="\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} \]" src="form_57.png"> 
                      
    
                         91<p> 
                      
    
                         92 where <img class="formulaInl" alt="$\gamma=\sum_i \beta_i$" src="form_58.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9393<tr><td></td></tr> 
                  
    
                          9494<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          9696vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#3290613d31d58daa8a45a54b003871fc">sample</a> () const </td></tr> 
                  
    
                          9797 
                  
    
                
                      
    
                        98 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          9999<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cb343355ec791298bb5a3404cd482fb6"></a><!-- doxytag: member="bdm::eDirich::mean" ref="cb343355ec791298bb5a3404cd482fb6" args="() const " --> 
                  
    
                          100100vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#cb343355ec791298bb5a3404cd482fb6">mean</a> () const </td></tr> 
                  
    
                
              
                
    
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                          112112double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#279a99f6266c82fe2273e83841f19eb2">lognc</a> () const </td></tr> 
                  
    
                          113113 
                  
    
                
                      
    
                        114 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> 
                      
    
                      
    
                         114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_74.png"> <br></td></tr> 
                      
    
                
                  
    
                          115115<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="175e0add26d2105c28d8121eefb9e324"></a><!-- doxytag: member="bdm::eDirich::_beta" ref="175e0add26d2105c28d8121eefb9e324" args="()" --> 
                  
    
                          116116vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eDirich.html#175e0add26d2105c28d8121eefb9e324">_beta</a> ()</td></tr> 
                  
    
                
              
                
    
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                          163163virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          164164 
                  
    
                
                      
    
                        165 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         165<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          166166<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::eDirich::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          167167virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          216216<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
                          217217</div> 
                  
    
                
                      
    
                        218 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:51 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         218<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:44 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          219219<a href="http://www.doxygen.org/index.html"> 
                  
    
                          220220<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9494  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9595</table></div> 
                  
    
                
                      
    
                        96 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:49 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         96<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:43 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9797<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9898<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          104104virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#cd678fc9b02007a4b8d6692e746f1bf8">lognc</a> () const =0</td></tr> 
                  
    
                          105105 
                  
    
                
                      
    
                        106 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> 
                      
    
                      
    
                         106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_74.png"> <br></td></tr> 
                      
    
                
                  
    
                          107107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="deef7d6273ba4d5a5cf0bbd91ec7277a"></a><!-- doxytag: member="bdm::eEF::dupdate" ref="deef7d6273ba4d5a5cf0bbd91ec7277a" args="(mat &amp;v)" --> 
                  
    
                          108108virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEF.html#deef7d6273ba4d5a5cf0bbd91ec7277a">dupdate</a> (mat &amp;v)</td></tr> 
                  
    
                
              
                
    
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                          142142virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#75ba57a89681a8efec488f5796c7cc1b">sample</a> () const </td></tr> 
                  
    
                          143143 
                  
    
                
                      
    
                        144 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         144<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          145145<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b4cf45fd83cc7573ede9fe1215256058"></a><!-- doxytag: member="bdm::eEF::sample_m" ref="b4cf45fd83cc7573ede9fe1215256058" args="(int N) const " --> 
                  
    
                          146146virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          147147 
                  
    
                
                      
    
                        148 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         148<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          149149<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::eEF::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          150150virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          199199<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
                          200200</div> 
                  
    
                
                      
    
                        201 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:49 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         201<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:43 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          202202<a href="http://www.doxygen.org/index.html"> 
                  
    
                          203203<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:56 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         103<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:47 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          161161virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          162162 
                  
    
                
                      
    
                        163 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         163<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          164164<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::eEmp::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          165165virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          201201vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEmp.html#9d39241aab7c4bbeb07c6d516421c67d">w</a></td></tr> 
                  
    
                          202202 
                  
    
                
                      
    
                        203 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Sample weights <img class="formulaInl" alt="$w$" src="form_44.png">. <br></td></tr> 
                      
    
                      
    
                         203<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Sample weights <img class="formulaInl" alt="$w$" src="form_77.png">. <br></td></tr> 
                      
    
                
                  
    
                          204204<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="73d819553a0f268b055a087d2d4486f3"></a><!-- doxytag: member="bdm::eEmp::samples" ref="73d819553a0f268b055a087d2d4486f3" args="" --> 
                  
    
                          205205Array&lt; vec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eEmp.html#73d819553a0f268b055a087d2d4486f3">samples</a></td></tr> 
                  
    
                          206206 
                  
    
                
                      
    
                        207 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Samples <img class="formulaInl" alt="$x^{(i)}, i=1..n$" src="form_9.png">. <br></td></tr> 
                      
    
                      
    
                         207<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Samples <img class="formulaInl" alt="$x^{(i)}, i=1..n$" src="form_78.png">. <br></td></tr> 
                      
    
                
                  
    
                          208208<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::eEmp::dim" ref="16adac20ec7fe07e1ea0b27d917788ce" args="" --> 
                  
    
                          209209int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr> 
                  
    
                
              
                
    
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                          218218<li><a class="el" href="libEF_8h-source.html">libEF.h</a><li>libEF.cpp</ul> 
                  
    
                          219219</div> 
                  
    
                
                      
    
                        220 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:56 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         220<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:47 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          221221<a href="http://www.doxygen.org/index.html"> 
                  
    
                          222222<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:52 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         103<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:45 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888<p> 
                  
    
                          8989Multivariate Gamma density as product of independent univariate densities. <p class="formulaDsp"> 
                  
    
                
                      
    
                        90 <img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_8.png"> 
                      
    
                      
    
                         90<img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_59.png"> 
                      
    
                
                  
    
                          9191<p> 
                  
    
                          9292 <table border="0" cellpadding="0" cellspacing="0"> 
                  
    
                
              
                
    
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                          9696vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#6ed82f0fd05f6002487256d8e75a0bbd">sample</a> () const </td></tr> 
                  
    
                          9797 
                  
    
                
                      
    
                        98 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          9999<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a8e11e5a580ff42a1b205974c60768c6"></a><!-- doxytag: member="bdm::egamma::evallog" ref="a8e11e5a580ff42a1b205974c60768c6" args="(const vec &amp;val) const " --> 
                  
    
                          100100double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#a8e11e5a580ff42a1b205974c60768c6">evallog</a> (const vec &amp;val) const </td></tr> 
                  
    
                
              
                
    
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                          104104double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#9a66cbd100e8520c769ccb3c451f86f8">lognc</a> () const </td></tr> 
                  
    
                          105105 
                  
    
                
                      
    
                        106 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> 
                      
    
                      
    
                         106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_74.png"> <br></td></tr> 
                      
    
                
                  
    
                          107107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0865cb3d6339fdc7410806cf70a329ed"></a><!-- doxytag: member="bdm::egamma::_alpha" ref="0865cb3d6339fdc7410806cf70a329ed" args="()" --> 
                  
    
                          108108vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#0865cb3d6339fdc7410806cf70a329ed">_alpha</a> ()</td></tr> 
                  
    
                
              
                
    
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                          163163virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          164164 
                  
    
                
                      
    
                        165 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         165<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          166166<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::egamma::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          167167virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          199199vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#0901ec983e66b8337aaa506e13b122fa">alpha</a></td></tr> 
                  
    
                          200200 
                  
    
                
                      
    
                        201 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\alpha$" src="form_15.png">. <br></td></tr> 
                      
    
                      
    
                         201<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\alpha$" src="form_75.png">. <br></td></tr> 
                      
    
                
                  
    
                          202202<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="457bfb1ccb2057df85073e519a15ccc1"></a><!-- doxytag: member="bdm::egamma::beta" ref="457bfb1ccb2057df85073e519a15ccc1" args="" --> 
                  
    
                          203203vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egamma.html#457bfb1ccb2057df85073e519a15ccc1">beta</a></td></tr> 
                  
    
                          204204 
                  
    
                
                      
    
                        205 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\beta$" src="form_16.png">. <br></td></tr> 
                      
    
                      
    
                         205<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\beta$" src="form_76.png">. <br></td></tr> 
                      
    
                
                  
    
                          206206<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::egamma::dim" ref="16adac20ec7fe07e1ea0b27d917788ce" args="" --> 
                  
    
                          207207int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr> 
                  
    
                
              
                
    
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                          216216<li><a class="el" href="libEF_8h-source.html">libEF.h</a><li>libEF.cpp</ul> 
                  
    
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                        218 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:52 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          219219<a href="http://www.doxygen.org/index.html"> 
                  
    
                          220220<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          106106  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          107107</table></div> 
                  
    
                
                      
    
                        108 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:51 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         108<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:44 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          109109<a href="http://www.doxygen.org/index.html"> 
                  
    
                          110110<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787Gauss-inverse-Wishart density stored in LD form.  
                  
    
                          8888<p> 
                  
    
                
                      
    
                        89 For <img class="formulaInl" alt="$p$" src="form_42.png">-variate densities, given rv.count() should be <img class="formulaInl" alt="$p\times$" src="form_72.png"> V.rows(). <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         89For <img class="formulaInl" alt="$p$" src="form_54.png">-variate densities, given rv.count() should be <img class="formulaInl" alt="$p\times$" src="form_55.png"> V.rows(). <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9090<tr><td></td></tr> 
                  
    
                          9191<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          9393vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#920f21548b7a3723923dd108fe514c61">sample</a> () const </td></tr> 
                  
    
                          9494 
                  
    
                
                      
    
                        95 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         95<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          9696<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="df70c05f918c3a6f86d60f10c1fd6ba2"></a><!-- doxytag: member="bdm::egiw::mean" ref="df70c05f918c3a6f86d60f10c1fd6ba2" args="() const " --> 
                  
    
                          9797vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#df70c05f918c3a6f86d60f10c1fd6ba2">mean</a> () const </td></tr> 
                  
    
                
              
                
    
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                          112112double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#41d72ba7b2abc8a9a4209ffa98ed5633">lognc</a> () const </td></tr> 
                  
    
                          113113 
                  
    
                
                      
    
                        114 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> 
                      
    
                      
    
                         114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_74.png"> <br></td></tr> 
                      
    
                
                  
    
                          115115<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8e610e95401a11baf34f65e16ecd87be"></a><!-- doxytag: member="bdm::egiw::pow" ref="8e610e95401a11baf34f65e16ecd87be" args="(double p)" --> 
                  
    
                          116116void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1egiw.html#8e610e95401a11baf34f65e16ecd87be">pow</a> (double p)</td></tr> 
                  
    
                
              
                
    
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                          169169virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          170170 
                  
    
                
                      
    
                        171 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         171<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          172172<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::egiw::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          173173virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          230230<li><a class="el" href="libEF_8h-source.html">libEF.h</a><li>libEF.cpp</ul> 
                  
    
                          231231</div> 
                  
    
                
                      
    
                        232 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:51 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          233233<a href="http://www.doxygen.org/index.html"> 
                  
    
                          234234<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          102102  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          103103</table></div> 
                  
    
                
                      
    
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                          106106<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888<p> 
                  
    
                          8989Multivariate inverse-Gamma density as product of independent univariate densities. <p class="formulaDsp"> 
                  
    
                
                      
    
                        90 <img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_8.png"> 
                      
    
                      
    
                         90<img class="formulaDsp" alt="\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \]" src="form_59.png"> 
                      
    
                
                  
    
                          9191<p> 
                  
    
                          9292<p> 
                  
    
                          9393Inverse Gamma can be converted to Gamma using <p class="formulaDsp"> 
                  
    
                
                      
    
                        94 <img class="formulaDsp" alt="\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \]" src="form_93.png"> 
                      
    
                      
    
                         94<img class="formulaDsp" alt="\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \]" src="form_60.png"> 
                      
    
                
                  
    
                          9595<p> 
                  
    
                          9696 This relation is used in sampling. <table border="0" cellpadding="0" cellspacing="0"> 
                  
    
                
              
                
    
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                          100100vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#3aff7bf25ddac27731c60826fcfd878f">sample</a> () const </td></tr> 
                  
    
                          101101 
                  
    
                
                      
    
                        102 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         102<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          103103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9e26c80c8e6708bfcf2e684958af6f91"></a><!-- doxytag: member="bdm::eigamma::evallog" ref="9e26c80c8e6708bfcf2e684958af6f91" args="(const vec &amp;val) const " --> 
                  
    
                          104104double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#9e26c80c8e6708bfcf2e684958af6f91">evallog</a> (const vec &amp;val) const </td></tr> 
                  
    
                
              
                
    
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                          108108double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#a52ac6d523e2fe05642d1f50fe66aec2">lognc</a> () const </td></tr> 
                  
    
                          109109 
                  
    
                
                      
    
                        110 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> 
                      
    
                      
    
                         110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_74.png"> <br></td></tr> 
                      
    
                
                  
    
                          111111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="46cecb295edbabd28120cb0f6f572bcb"></a><!-- doxytag: member="bdm::eigamma::mean" ref="46cecb295edbabd28120cb0f6f572bcb" args="() const " --> 
                  
    
                          112112vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#46cecb295edbabd28120cb0f6f572bcb">mean</a> () const </td></tr> 
                  
    
                
              
                
    
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                          166166virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          167167 
                  
    
                
                      
    
                        168 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         168<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          169169<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::eigamma::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          170170virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          206206vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#494fafd76d9448395efe160c9ba11ab6">alpha</a></td></tr> 
                  
    
                          207207 
                  
    
                
                      
    
                        208 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\alpha$" src="form_15.png">. <br></td></tr> 
                      
    
                      
    
                         208<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\alpha$" src="form_75.png">. <br></td></tr> 
                      
    
                
                  
    
                          209209<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e32ff12ba6b2fdc22068c35dace23fa6"></a><!-- doxytag: member="bdm::eigamma::beta" ref="e32ff12ba6b2fdc22068c35dace23fa6" args="" --> 
                  
    
                          210210vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eigamma.html#e32ff12ba6b2fdc22068c35dace23fa6">beta</a></td></tr> 
                  
    
                          211211 
                  
    
                
                      
    
                        212 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\beta$" src="form_16.png"> (in fact it is 1/beta as used in definition of iG). <br></td></tr> 
                      
    
                      
    
                         212<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vector <img class="formulaInl" alt="$\beta$" src="form_76.png"> (in fact it is 1/beta as used in definition of iG). <br></td></tr> 
                      
    
                
                  
    
                          213213<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16adac20ec7fe07e1ea0b27d917788ce"></a><!-- doxytag: member="bdm::eigamma::dim" ref="16adac20ec7fe07e1ea0b27d917788ce" args="" --> 
                  
    
                          214214int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#16adac20ec7fe07e1ea0b27d917788ce">dim</a></td></tr> 
                  
    
                
              
                
    
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                          223223<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
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                        225 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:52 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         225<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:45 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          226226<a href="http://www.doxygen.org/index.html"> 
                  
    
                          227227<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9898  <tr bgcolor="#f0f0f0"><td><b>~emix</b>() (defined in <a class="el" href="classbdm_1_1emix.html">bdm::emix</a>)</td><td><a class="el" href="classbdm_1_1emix.html">bdm::emix</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9999</table></div> 
                  
    
                
                      
    
                        100 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:40 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         100<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:36 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          101101<a href="http://www.doxygen.org/index.html"> 
                  
    
                          102102<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787<p> 
                  
    
                          8888Density function: <p class="formulaDsp"> 
                  
    
                
                      
    
                        89 <img class="formulaDsp" alt="\[ f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1. \]" src="form_63.png"> 
                      
    
                        90 <p> 
                      
    
                        91  where <img class="formulaInl" alt="$f_i(x)$" src="form_64.png"> is any density on random variable <img class="formulaInl" alt="$x$" src="form_28.png">, called <em>component</em>, <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         89<img class="formulaDsp" alt="\[ f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1. \]" src="form_37.png"> 
                      
    
                         90<p> 
                      
    
                         91 where <img class="formulaInl" alt="$f_i(x)$" src="form_38.png"> is any density on random variable <img class="formulaInl" alt="$x$" src="form_28.png">, called <em>component</em>, <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9292<tr><td></td></tr> 
                  
    
                          9393<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          101101vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#e8839dbbb0d1276a8dbe957a67cfe0dc">sample</a> () const </td></tr> 
                  
    
                          102102 
                  
    
                
                      
    
                        103 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         103<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          104104<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a3a5390bc56e81ef3b0debc0f185fa8a"></a><!-- doxytag: member="bdm::emix::mean" ref="a3a5390bc56e81ef3b0debc0f185fa8a" args="() const " --> 
                  
    
                          105105vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html#a3a5390bc56e81ef3b0debc0f185fa8a">mean</a> () const </td></tr> 
                  
    
                
              
                
    
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                          159159virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          160160 
                  
    
                
                      
    
                        161 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         161<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          162162<tr><td colspan="2"><div class="groupHeader">Connection to other classes</div></td></tr> 
                  
    
                          163163<tr><td colspan="2"><div class="groupText">Description of the random quantity via attribute <code>rv</code> is optional. For operations such as sampling <code>rv</code> does not need to be set. However, for <code>marginalization</code> and <code>conditioning</code> <code>rv</code> has to be set. NB: <br><br></div></td></tr> 
                  
    
                
              
                
    
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                          244244<li><a class="el" href="emix_8h-source.html">emix.h</a><li>emix.cpp</ul> 
                  
    
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                        246 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:40 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         246<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:36 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          247247<a href="http://www.doxygen.org/index.html"> 
                  
    
                          248248<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          105105  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          106106</table></div> 
                  
    
                
                      
    
                        107 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:51 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         107<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:43 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          108108<a href="http://www.doxygen.org/index.html"> 
                  
    
                          109109<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          127127vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1enorm.html#e1a48f52351ec3a349bd443b713b1766">sample</a> () const </td></tr> 
                  
    
                          128128 
                  
    
                
                      
    
                        129 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         129<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          130130<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ebd96125aed74f9504033bb3605849db"></a><!-- doxytag: member="bdm::enorm::sample" ref="ebd96125aed74f9504033bb3605849db" args="(int N) const " --> 
                  
    
                          131131mat&nbsp;</td><td class="memItemRight" valign="bottom"><b>sample</b> (int N) const </td></tr> 
                  
    
                
              
                
    
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                          138138double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1enorm.html#25785343aff102cc5df1cab08ba16d32">lognc</a> () const </td></tr> 
                  
    
                          139139 
                  
    
                
                      
    
                        140 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_60.png"> <br></td></tr> 
                      
    
                      
    
                         140<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">logarithm of the normalizing constant, <img class="formulaInl" alt="$\mathcal{I}$" src="form_74.png"> <br></td></tr> 
                      
    
                
                  
    
                          141141<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b2fa2915c35366392fe9bb022ca1a600"></a><!-- doxytag: member="bdm::enorm::mean" ref="b2fa2915c35366392fe9bb022ca1a600" args="() const " --> 
                  
    
                          142142vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1enorm.html#b2fa2915c35366392fe9bb022ca1a600">mean</a> () const </td></tr> 
                  
    
                
              
                
    
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                          185185virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          186186 
                  
    
                
                      
    
                        187 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         187<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          188188<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::enorm::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          189189virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          230230<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
                          231231</div> 
                  
    
                
                      
    
                        232 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:51 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         232<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:43 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          233233<a href="http://www.doxygen.org/index.html"> 
                  
    
                          234234<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          8989</table></div> 
                  
    
                
                      
    
                        90 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:44 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         90<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:38 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          9292<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          126126virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#75ba57a89681a8efec488f5796c7cc1b">sample</a> () const </td></tr> 
                  
    
                          127127 
                  
    
                
                      
    
                        128 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         128<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          129129<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b4cf45fd83cc7573ede9fe1215256058"></a><!-- doxytag: member="bdm::epdf::sample_m" ref="b4cf45fd83cc7573ede9fe1215256058" args="(int N) const " --> 
                  
    
                          130130virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          131131 
                  
    
                
                      
    
                        132 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         132<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          133133<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="deab266d63c236c277538867d5c3f249"></a><!-- doxytag: member="bdm::epdf::evallog" ref="deab266d63c236c277538867d5c3f249" args="(const vec &amp;val) const " --> 
                  
    
                          134134virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#deab266d63c236c277538867d5c3f249">evallog</a> (const vec &amp;val) const </td></tr> 
                  
    
                
              
                
    
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                          187187<li><a class="el" href="libBM_8h-source.html">libBM.h</a><li>libBM.cpp</ul> 
                  
    
                          188188</div> 
                  
    
                
                      
    
                        189 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:44 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         189<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:38 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          190190<a href="http://www.doxygen.org/index.html"> 
                  
    
                          191191<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9393  <tr class="memlist"><td><a class="el" href="classbdm_1_1eprod.html#708b37971aab3667f20e325c358632cf">~eprod</a>()</td><td><a class="el" href="classbdm_1_1eprod.html">bdm::eprod</a></td><td><code> [inline]</code></td></tr> 
                  
    
                          9494</table></div> 
                  
    
                
                      
    
                        95 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:41 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         95<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:36 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9696<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9797<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eprod.html#af48debea25d3473bcb71b6a77fac741">sample</a> () const </td></tr> 
                  
    
                          102102 
                  
    
                
                      
    
                        103 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         103<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          104104<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a5a91e67d2f74ff2b0b8eecde2fa42e2"></a><!-- doxytag: member="bdm::eprod::evallog" ref="a5a91e67d2f74ff2b0b8eecde2fa42e2" args="(const vec &amp;val) const " --> 
                  
    
                          105105double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1eprod.html#a5a91e67d2f74ff2b0b8eecde2fa42e2">evallog</a> (const vec &amp;val) const </td></tr> 
                  
    
                
              
                
    
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                          131131virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          132132 
                  
    
                
                      
    
                        133 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         133<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          134134<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::eprod::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          135135virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          184184<li><a class="el" href="emix_8h-source.html">emix.h</a></ul> 
                  
    
                          185185</div> 
                  
    
                
                      
    
                        186 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:41 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         186<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:36 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          187187<a href="http://www.doxygen.org/index.html"> 
                  
    
                          188188<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9797  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9898</table></div> 
                  
    
                
                      
    
                        99 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:53 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         99<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:45 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          100100<a href="http://www.doxygen.org/index.html"> 
                  
    
                          101101<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9797vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1euni.html#fc5df80359ead2918384b2004ce67194">sample</a> () const </td></tr> 
                  
    
                          9898 
                  
    
                
                      
    
                        99 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_106.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_107.png">. <br></td></tr> 
                      
    
                      
    
                         99<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns a sample, <img class="formulaInl" alt="$ x $" src="form_42.png"> from density <img class="formulaInl" alt="$ f_x()$" src="form_43.png">. <br></td></tr> 
                      
    
                
                  
    
                          100100<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="46caa8c13aba2e6228f964208918b226"></a><!-- doxytag: member="bdm::euni::mean" ref="46caa8c13aba2e6228f964208918b226" args="() const " --> 
                  
    
                          101101vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1euni.html#46caa8c13aba2e6228f964208918b226">mean</a> () const </td></tr> 
                  
    
                
              
                
    
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                          133133virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          134134 
                  
    
                
                      
    
                        135 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         135<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          136136<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::euni::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          137137virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          198198<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
                          199199</div> 
                  
    
                
                      
    
                        200 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:53 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         200<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:45 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          201201<a href="http://www.doxygen.org/index.html"> 
                  
    
                          202202<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7575  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          7676</table></div> 
                  
    
                
                      
    
                        77 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:43 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         77<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:38 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          7878<a href="http://www.doxygen.org/index.html"> 
                  
    
                          7979<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787<p> 
                  
    
                          8888<a href="classbdm_1_1fnc-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
                  
    
                
                      
    
                        89 Class representing function <img class="formulaInl" alt="$f(x)$" src="form_35.png"> of variable <img class="formulaInl" alt="$x$" src="form_28.png"> represented by <code>rv</code>. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         89Class representing function <img class="formulaInl" alt="$f(x)$" src="form_39.png"> of variable <img class="formulaInl" alt="$x$" src="form_28.png"> represented by <code>rv</code>. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9090<tr><td></td></tr> 
                  
    
                          9191<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          9797virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fnc.html#6277b11d7fffc7ef8a2fa3e84ae5bad4">eval</a> (const vec &amp;cond)</td></tr> 
                  
    
                          9898 
                  
    
                
                      
    
                        99 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">function evaluates numerical value of <img class="formulaInl" alt="$f(x)$" src="form_35.png"> at <img class="formulaInl" alt="$x=$" src="form_37.png"> <code>cond</code> <br></td></tr> 
                      
    
                      
    
                         99<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">function evaluates numerical value of <img class="formulaInl" alt="$f(x)$" src="form_39.png"> at <img class="formulaInl" alt="$x=$" src="form_41.png"> <code>cond</code> <br></td></tr> 
                      
    
                
                  
    
                          100100<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0786e40fade2663a70d654c1dda5d73e"></a><!-- doxytag: member="bdm::fnc::condition" ref="0786e40fade2663a70d654c1dda5d73e" args="(const vec &amp;val)" --> 
                  
    
                          101101virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fnc.html#0786e40fade2663a70d654c1dda5d73e">condition</a> (const vec &amp;val)</td></tr> 
                  
    
                
              
                
    
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                          115115<li><a class="el" href="libBM_8h-source.html">libBM.h</a></ul> 
                  
    
                          116116</div> 
                  
    
                
                      
    
                        117 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:43 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         117<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:38 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          118118<a href="http://www.doxygen.org/index.html"> 
                  
    
                          119119<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7777  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          7878</table></div> 
                  
    
                
                      
    
                        79 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:56 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         79<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8080<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8181<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8484<p> 
                  
    
                          8585<a href="classbdm_1_1linfn-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
                  
    
                
                      
    
                        86 Class representing function <img class="formulaInl" alt="$f(x) = Ax+B$" src="form_46.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         86Class representing function <img class="formulaInl" alt="$f(x) = Ax+B$" src="form_80.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          8787<tr><td></td></tr> 
                  
    
                          8888<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          9090vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1linfn.html#b8063094a2aa210dcf7ae73e2b85e09c">eval</a> (const vec &amp;cond)</td></tr> 
                  
    
                          9191 
                  
    
                
                      
    
                        92 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">function evaluates numerical value of <img class="formulaInl" alt="$f(x)$" src="form_35.png"> at <img class="formulaInl" alt="$x=$" src="form_37.png"> <code>cond</code> <br></td></tr> 
                      
    
                      
    
                         92<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">function evaluates numerical value of <img class="formulaInl" alt="$f(x)$" src="form_39.png"> at <img class="formulaInl" alt="$x=$" src="form_41.png"> <code>cond</code> <br></td></tr> 
                      
    
                
                  
    
                          9393<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b39c494c12863c031eb2acf86c0bc429"></a><!-- doxytag: member="bdm::linfn::linfn" ref="b39c494c12863c031eb2acf86c0bc429" args="()" --> 
                  
    
                          9494&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1linfn.html#b39c494c12863c031eb2acf86c0bc429">linfn</a> ()</td></tr> 
                  
    
                
              
                
    
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                        118 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:56 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         118<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:48 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          119119<a href="http://www.doxygen.org/index.html"> 
                  
    
                          120120<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7878  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          7979</table></div> 
                  
    
                
                      
    
                        80 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:46 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         80<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:40 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8181<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8282<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9090  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        92 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:50 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          103103<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> 
                  
    
                          104104 
                  
    
                
                      
    
                        105 <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> 
                      
    
                      
    
                         105<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          106106<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> 
                  
    
                          107107 
                  
    
                
              
                
    
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                          180180 
                  
    
                          181181<p> 
                  
    
                
                      
    
                        182 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         182Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          183183<p> 
                  
    
                          184184<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          227227  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        228     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         228    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          229229    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          230230    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          243243<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8383  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        85 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:57 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8787<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          179179<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9090  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                          9494<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          100100<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> 
                  
    
                          101101 
                  
    
                
                      
    
                        102 <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> 
                      
    
                      
    
                         102<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          103103<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> 
                  
    
                          104104 
                  
    
                
              
                
    
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                          173173 
                  
    
                          174174<p> 
                  
    
                
                      
    
                        175 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         175Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          176176<p> 
                  
    
                          177177<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          219219<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          220220  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        221     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         221    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          222222    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          223223    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          235235<a href="http://www.doxygen.org/index.html"> 
                  
    
                          236236<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          111111  <tr class="memlist"><td><a class="el" href="classbdm_1_1merger.html#febef179bb5e074ae6e34d15b4596273">~merger</a>()</td><td><a class="el" href="classbdm_1_1merger.html">bdm::merger</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        113 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:39 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          114114<a href="http://www.doxygen.org/index.html"> 
                  
    
                          115115<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          167167virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#b4cf45fd83cc7573ede9fe1215256058">sample_m</a> (int N) const </td></tr> 
                  
    
                          168168 
                  
    
                
                      
    
                        169 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_108.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_109.png">. <br></td></tr> 
                      
    
                      
    
                         169<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns N samples, <img class="formulaInl" alt="$ [x_1 , x_2 , \ldots \ $" src="form_44.png"> from density <img class="formulaInl" alt="$ f_x(rv)$" src="form_45.png">. <br></td></tr> 
                      
    
                
                  
    
                          170170<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="34956d4dd3176eeb5937cf48a1546b62"></a><!-- doxytag: member="bdm::merger::evallog_m" ref="34956d4dd3176eeb5937cf48a1546b62" args="(const mat &amp;Val) const " --> 
                  
    
                          171171virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html#34956d4dd3176eeb5937cf48a1546b62">evallog_m</a> (const mat &amp;Val) const </td></tr> 
                  
    
                
              
                
    
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                          307307<li><a class="el" href="merger_8h-source.html">merger.h</a><li>merger.cpp</ul> 
                  
    
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                        309 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:39 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          310310<a href="http://www.doxygen.org/index.html"> 
                  
    
                          311311<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9595  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        97 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:54 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          9999<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888Gamma random walk.  
                  
    
                          8989<p> 
                  
    
                
                      
    
                        90 Mean value, <img class="formulaInl" alt="$\mu$" src="form_14.png">, of this density is given by <code>rvc</code> . Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_41.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_11.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_12.png">.<p> 
                      
    
                        91 The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_13.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         90Mean value, <img class="formulaInl" alt="$\mu$" src="form_62.png">, of this density is given by <code>rvc</code> . Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_63.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_64.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_65.png">.<p> 
                      
    
                         91The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_66.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9292<tr><td></td></tr> 
                  
    
                          9393<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          107107<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> 
                  
    
                          108108 
                  
    
                
                      
    
                        109 <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> 
                      
    
                      
    
                         109<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          110110<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> 
                  
    
                          111111 
                  
    
                
              
                
    
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                          156156double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mgamma.html#b20cf88cca1fe9b0b8f2a412608bfd09">k</a></td></tr> 
                  
    
                          157157 
                  
    
                
                      
    
                        158 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_41.png">. <br></td></tr> 
                      
    
                      
    
                         158<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_63.png">. <br></td></tr> 
                      
    
                
                  
    
                          159159<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3d95f4dde9214ff6dba265e18af60312"></a><!-- doxytag: member="bdm::mgamma::_beta" ref="3d95f4dde9214ff6dba265e18af60312" args="" --> 
                  
    
                          160160vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mgamma.html#3d95f4dde9214ff6dba265e18af60312">_beta</a></td></tr> 
                  
    
                
              
                
    
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                          192192 
                  
    
                          193193<p> 
                  
    
                
                      
    
                        194 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         194Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          195195<p> 
                  
    
                          196196<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          238238<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          239239  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        240     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         240    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          241241    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          242242    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          251251<li><a class="el" href="libEF_8h-source.html">libEF.h</a><li>libEF.cpp</ul> 
                  
    
                          252252</div> 
                  
    
                
                      
    
                        253 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:54 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         253<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          254254<a href="http://www.doxygen.org/index.html"> 
                  
    
                          255255<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9999  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        101 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:55 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         101<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:47 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          102102<a href="http://www.doxygen.org/index.html"> 
                  
    
                          103103<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888Gamma random walk around a fixed point.  
                  
    
                          8989<p> 
                  
    
                
                      
    
                        90 Mean value, <img class="formulaInl" alt="$\mu$" src="form_14.png">, of this density is given by a geometric combination of <code>rvc</code> and given fixed point, <img class="formulaInl" alt="$p$" src="form_42.png">. <img class="formulaInl" alt="$l$" src="form_43.png"> is the coefficient of the geometric combimation <p class="formulaDsp"> 
                      
    
                        91 <img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_18.png"> 
                      
    
                        92 <p> 
                      
    
                        93 <p> 
                      
    
                        94 Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_41.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_11.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_12.png">.<p> 
                      
    
                        95 The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_13.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         90Mean value, <img class="formulaInl" alt="$\mu$" src="form_62.png">, of this density is given by a geometric combination of <code>rvc</code> and given fixed point, <img class="formulaInl" alt="$p$" src="form_54.png">. <img class="formulaInl" alt="$l$" src="form_72.png"> is the coefficient of the geometric combimation <p class="formulaDsp"> 
                      
    
                         91<img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_73.png"> 
                      
    
                         92<p> 
                      
    
                         93<p> 
                      
    
                         94Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_63.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_64.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_65.png">.<p> 
                      
    
                         95The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_66.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9696<tr><td></td></tr> 
                  
    
                          9797<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          115115<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> 
                  
    
                          116116 
                  
    
                
                      
    
                        117 <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> 
                      
    
                      
    
                         117<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          118118<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> 
                  
    
                          119119 
                  
    
                
              
                
    
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                          172172double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mgamma.html#b20cf88cca1fe9b0b8f2a412608bfd09">k</a></td></tr> 
                  
    
                          173173 
                  
    
                
                      
    
                        174 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_41.png">. <br></td></tr> 
                      
    
                      
    
                         174<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_63.png">. <br></td></tr> 
                      
    
                
                  
    
                          175175<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3d95f4dde9214ff6dba265e18af60312"></a><!-- doxytag: member="bdm::mgamma_fix::_beta" ref="3d95f4dde9214ff6dba265e18af60312" args="" --> 
                  
    
                          176176vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mgamma.html#3d95f4dde9214ff6dba265e18af60312">_beta</a></td></tr> 
                  
    
                
              
                
    
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                          208208 
                  
    
                          209209<p> 
                  
    
                
                      
    
                        210 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         210Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          211211<p> 
                  
    
                          212212<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
                  …
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                          254254<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          255255  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        256     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         256    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          257257    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          258258    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          267267<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
                          268268</div> 
                  
    
                
                      
    
                        269 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:55 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         269<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:47 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          270270<a href="http://www.doxygen.org/index.html"> 
                  
    
                          271271<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9797  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9898</table></div> 
                  
    
                
                      
    
                        99 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:54 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         99<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          100100<a href="http://www.doxygen.org/index.html"> 
                  
    
                          101101<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888Inverse-Gamma random walk.  
                  
    
                          8989<p> 
                  
    
                
                      
    
                        90 Mean value, <img class="formulaInl" alt="$ \mu $" src="form_113.png">, of this density is given by <code>rvc</code> . Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$ k $" src="form_114.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$ \alpha=\mu/k^2+2 $" src="form_115.png"> and <img class="formulaInl" alt="$ \beta=\mu(\alpha-1)$" src="form_116.png">.<p> 
                      
    
                        91 The standard deviation of the walk is then: <img class="formulaInl" alt="$ \mu/\sqrt(k)$" src="form_117.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         90Mean value, <img class="formulaInl" alt="$ \mu $" src="form_67.png">, of this density is given by <code>rvc</code> . Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$ k $" src="form_68.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$ \alpha=\mu/k^2+2 $" src="form_69.png"> and <img class="formulaInl" alt="$ \beta=\mu(\alpha-1)$" src="form_70.png">.<p> 
                      
    
                         91The standard deviation of the walk is then: <img class="formulaInl" alt="$ \mu/\sqrt(k)$" src="form_71.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9292<tr><td></td></tr> 
                  
    
                          9393<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          110110<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> 
                  
    
                          111111 
                  
    
                
                      
    
                        112 <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> 
                      
    
                      
    
                         112<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          113113<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> 
                  
    
                          114114 
                  
    
                
              
                
    
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                          159159double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#dc56bc9da542e0103ec16b9be8e5e38c">k</a></td></tr> 
                  
    
                          160160 
                  
    
                
                      
    
                        161 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_41.png">. <br></td></tr> 
                      
    
                      
    
                         161<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_63.png">. <br></td></tr> 
                      
    
                
                  
    
                          162162<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c9847093da59a9ba0ebb68d2c592f5dc"></a><!-- doxytag: member="bdm::migamma::_alpha" ref="c9847093da59a9ba0ebb68d2c592f5dc" args="" --> 
                  
    
                          163163vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#c9847093da59a9ba0ebb68d2c592f5dc">_alpha</a></td></tr> 
                  
    
                
              
                
    
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                          199199 
                  
    
                          200200<p> 
                  
    
                
                      
    
                        201 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         201Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          202202<p> 
                  
    
                          203203<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
                  …
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                          245245<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          246246  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        247     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         247    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          248248    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          249249    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
                  …
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                          258258<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
                          259259</div> 
                  
    
                
                      
    
                        260 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:54 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         260<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          261261<a href="http://www.doxygen.org/index.html"> 
                  
    
                          262262<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:55 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         103<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:47 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          104104<a href="http://www.doxygen.org/index.html"> 
                  
    
                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8888Inverse-Gamma random walk around a fixed point.  
                  
    
                          8989<p> 
                  
    
                
                      
    
                        90 Mean value, <img class="formulaInl" alt="$\mu$" src="form_14.png">, of this density is given by a geometric combination of <code>rvc</code> and given fixed point, <img class="formulaInl" alt="$p$" src="form_42.png">. <img class="formulaInl" alt="$l$" src="form_43.png"> is the coefficient of the geometric combimation <p class="formulaDsp"> 
                      
    
                        91 <img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_18.png"> 
                      
    
                        92 <p> 
                      
    
                        93 <p> 
                      
    
                        94 ==== Check == vv = Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_41.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_11.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_12.png">.<p> 
                      
    
                        95 The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_13.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         90Mean value, <img class="formulaInl" alt="$\mu$" src="form_62.png">, of this density is given by a geometric combination of <code>rvc</code> and given fixed point, <img class="formulaInl" alt="$p$" src="form_54.png">. <img class="formulaInl" alt="$l$" src="form_72.png"> is the coefficient of the geometric combimation <p class="formulaDsp"> 
                      
    
                         91<img class="formulaDsp" alt="\[ \mu = \mu_{t-1} ^{l} p^{1-l}\]" src="form_73.png"> 
                      
    
                         92<p> 
                      
    
                         93<p> 
                      
    
                         94==== Check == vv = Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_63.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_64.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_65.png">.<p> 
                      
    
                         95The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_66.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9696<tr><td></td></tr> 
                  
    
                          9797<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          115115<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> 
                  
    
                          116116 
                  
    
                
                      
    
                        117 <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> 
                      
    
                      
    
                         117<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          118118<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> 
                  
    
                          119119 
                  
    
                
              
                
    
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                          172172double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#dc56bc9da542e0103ec16b9be8e5e38c">k</a></td></tr> 
                  
    
                          173173 
                  
    
                
                      
    
                        174 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_41.png">. <br></td></tr> 
                      
    
                      
    
                         174<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constant <img class="formulaInl" alt="$k$" src="form_63.png">. <br></td></tr> 
                      
    
                
                  
    
                          175175<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c9847093da59a9ba0ebb68d2c592f5dc"></a><!-- doxytag: member="bdm::migamma_fix::_alpha" ref="c9847093da59a9ba0ebb68d2c592f5dc" args="" --> 
                  
    
                          176176vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1migamma.html#c9847093da59a9ba0ebb68d2c592f5dc">_alpha</a></td></tr> 
                  
    
                
              
                
    
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                          212212 
                  
    
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                        214 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         214Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          215215<p> 
                  
    
                          216216<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          259259  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        260     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         260    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          261261    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          262262    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                        273 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:55 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         273<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:47 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          274274<a href="http://www.doxygen.org/index.html"> 
                  
    
                          275275<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          101101  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          102102</table></div> 
                  
    
                
                      
    
                        103 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:53 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         103<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          105105<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9090Normal distributed linear function with linear function of mean value;.  
                  
    
                          9191<p> 
                  
    
                
                      
    
                        92 Mean value <img class="formulaInl" alt="$mu=A*rvc+mu_0$" src="form_78.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         92Mean value <img class="formulaInl" alt="$mu=A*rvc+mu_0$" src="form_61.png">. <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          9393<tr><td></td></tr> 
                  
    
                          9494<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          121121<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> 
                  
    
                          122122 
                  
    
                
                      
    
                        123 <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> 
                      
    
                      
    
                         123<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          124124<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> 
                  
    
                          125125 
                  
    
                
              
                
    
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                          238238 
                  
    
                          239239<p> 
                  
    
                
                      
    
                        240 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         240Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          241241<p> 
                  
    
                          242242<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          285285  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        286     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         286    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          287287    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          288288    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                        299 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:53 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         299<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          300300<a href="http://www.doxygen.org/index.html"> 
                  
    
                          301301<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          106106  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          107107</table></div> 
                  
    
                
                      
    
                        108 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:54 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         108<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          109109<a href="http://www.doxygen.org/index.html"> 
                  
    
                          110110<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          116116<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> 
                  
    
                          117117 
                  
    
                
                      
    
                        118 <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> 
                      
    
                      
    
                         118<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          119119<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> 
                  
    
                          120120 
                  
    
                
              
                
    
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                          239239 
                  
    
                          240240<p> 
                  
    
                
                      
    
                        241 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         241Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          242242<p> 
                  
    
                          243243<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          285285<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          286286  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        287     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         287    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          288288    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          289289    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          298298<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
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                        300 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:54 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         300<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:46 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          301301<a href="http://www.doxygen.org/index.html"> 
                  
    
                          302302<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9393  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9494</table></div> 
                  
    
                
                      
    
                        95 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:41 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         95<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:36 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9696<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9797<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          104104<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> 
                  
    
                          105105 
                  
    
                
                      
    
                        106 <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> 
                      
    
                      
    
                         106<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          107107<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> 
                  
    
                          108108 
                  
    
                
              
                
    
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                          185185 
                  
    
                          186186<p> 
                  
    
                
                      
    
                        187 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         187Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          188188<p> 
                  
    
                          189189<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          231231<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          232232  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        233     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         233    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          234234    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          235235    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          244244<li><a class="el" href="emix_8h-source.html">emix.h</a></ul> 
                  
    
                          245245</div> 
                  
    
                
                      
    
                        246 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:41 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         246<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:36 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          247247<a href="http://www.doxygen.org/index.html"> 
                  
    
                          248248<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8989  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          9090</table></div> 
                  
    
                
                      
    
                        91 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:44 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          9292<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9393<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          109109<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> 
                  
    
                          110110 
                  
    
                
                      
    
                        111 <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> 
                      
    
                      
    
                         111<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          112112<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> 
                  
    
                          113113 
                  
    
                
              
                
    
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                          186186 
                  
    
                          187187<p> 
                  
    
                
                      
    
                        188 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         188Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          189189<p> 
                  
    
                          190190<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          232232<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          233233  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        234     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         234    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          235235    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          236236    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                        247 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:44 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          249249<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          100100  <tr bgcolor="#f0f0f0"><td><b>~mprod</b>() (defined in <a class="el" href="classbdm_1_1mprod.html">bdm::mprod</a>)</td><td><a class="el" href="classbdm_1_1mprod.html">bdm::mprod</a></td><td><code> [inline]</code></td></tr> 
                  
    
                          101101</table></div> 
                  
    
                
                      
    
                        102 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:41 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          104104<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          100100<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mprod.html#ee715a8013acf9892f6cb489db595555">samplecond</a> (const vec &amp;cond)</td></tr> 
                  
    
                          101101 
                  
    
                
                      
    
                        102 <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="#ee715a8013acf9892f6cb489db595555"></a><br></td></tr> 
                      
    
                      
    
                         102<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_46.png">.  <a href="#ee715a8013acf9892f6cb489db595555"></a><br></td></tr> 
                      
    
                
                  
    
                          103103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d193dcc89fbc6f21979e0ced6d84568c"></a><!-- doxytag: member="bdm::mprod::samplecond" ref="d193dcc89fbc6f21979e0ced6d84568c" args="(const vec &amp;cond, int N)" --> 
                  
    
                          104104mat&nbsp;</td><td class="memItemRight" valign="bottom"><b>samplecond</b> (const vec &amp;cond, int N)</td></tr> 
                  
    
                
              
                
    
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                          204204 
                  
    
                          205205<p> 
                  
    
                
                      
    
                        206 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         206Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          207207<p> 
                  
    
                          208208<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          279279<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          280280  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        281     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         281    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          282282    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          283283    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                        294 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:41 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          296296<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9696  <tr class="memlist"><td><a class="el" href="classbdm_1_1mratio.html#c0cc0b25dbdc54751466616655454c5c">~mratio</a>()</td><td><a class="el" href="classbdm_1_1mratio.html">bdm::mratio</a></td><td><code> [inline]</code></td></tr> 
                  
    
                          9797</table></div> 
                  
    
                
                      
    
                        98 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:40 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         98<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:35 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          100100<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8585<a href="classbdm_1_1mratio-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
                  
    
                          8686Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> 
                  
    
                
                      
    
                        87 <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png"> 
                      
    
                        88 <p> 
                      
    
                        89  where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">.  
                      
    
                      
    
                         87<img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_35.png"> 
                      
    
                         88<p> 
                      
    
                         89 where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_36.png">.  
                      
    
                
                  
    
                          9090<p> 
                  
    
                          9191In particular this type of arise by conditioning of a mixture model.<p> 
                  
    
                
              
                
    
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                          110110<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> 
                  
    
                          111111 
                  
    
                
                      
    
                        112 <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> 
                      
    
                      
    
                         112<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_46.png">.  <a href="#f0c1db6fcbb3aae2dd6123884457a367"></a><br></td></tr> 
                      
    
                
                  
    
                          113113<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> 
                  
    
                          114114 
                  
    
                
              
                
    
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                          237237 
                  
    
                          238238<p> 
                  
    
                
                      
    
                        239 Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">.  
                      
    
                      
    
                         239Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">.  
                      
    
                
                  
    
                          240240<p> 
                  
    
                          241241<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                
              
                
    
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                          283283<dl compact><dt><b>Parameters:</b></dt><dd> 
                  
    
                          284284  <table border="0" cellspacing="2" cellpadding="0"> 
                  
    
                
                      
    
                        285     <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr> 
                      
    
                      
    
                         285    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_46.png">. </td></tr> 
                      
    
                
                  
    
                          286286    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr> 
                  
    
                          287287    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr> 
                  
    
                
              
                
    
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                          296296<li><a class="el" href="emix_8h-source.html">emix.h</a></ul> 
                  
    
                          297297</div> 
                  
    
                
                      
    
                        298 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:40 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         298<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:35 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          299299<a href="http://www.doxygen.org/index.html"> 
                  
    
                          300300<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          103103  <tr class="memlist"><td><a class="el" href="classbdm_1_1bdmroot.html#9c191bccc52a133d32d84edbc1a19c49">~bdmroot</a>()</td><td><a class="el" href="classbdm_1_1bdmroot.html">bdm::bdmroot</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          104104</table></div> 
                  
    
                
                      
    
                        105 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:52 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          107107<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          145145virtual <a class="el" href="classbdm_1_1epdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba">epredictor</a> () const </td></tr> 
                  
    
                          146146 
                  
    
                
                      
    
                        147 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_112.png">. <br></td></tr> 
                      
    
                      
    
                         147<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructs a predictive density <img class="formulaInl" alt="$ f(d_{t+1} |d_{t}, \ldots d_{0}) $" src="form_49.png">. <br></td></tr> 
                      
    
                
                  
    
                          148148<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="598b25e3f3d96a5bc00a5faeb5b3c912"></a><!-- doxytag: member="bdm::multiBM::predictor" ref="598b25e3f3d96a5bc00a5faeb5b3c912" args="() const " --> 
                  
    
                          149149virtual <a class="el" href="classbdm_1_1mpdf.html">mpdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912">predictor</a> () const </td></tr> 
                  
    
                
              
                
    
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                          277277<li><a class="el" href="libEF_8h-source.html">libEF.h</a></ul> 
                  
    
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                        279 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:52 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         279<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:44 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          281281<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7272  <tr class="memlist"><td><a class="el" href="classbdm_1_1str.html#905dc0f240e40432c103708c4a34f80a">times</a></td><td><a class="el" href="classbdm_1_1str.html">bdm::str</a></td><td></td></tr> 
                  
    
                          7373</table></div> 
                  
    
                
                      
    
                        74 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:42 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         74<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:37 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          7575<a href="http://www.doxygen.org/index.html"> 
                  
    
                          7676<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9494<li><a class="el" href="libBM_8h-source.html">libBM.h</a></ul> 
                  
    
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                        96 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:42 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          9898<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          104104  <tr class="memlist"><td><a class="el" href="classsqmat.html#0481f2067bb32aaea7e6d4f27e46b656">~sqmat</a>()</td><td><a class="el" href="classsqmat.html">sqmat</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
                          105105</table></div> 
                  
    
                
                      
    
                        106 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:29 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          108108<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8383Symmetric matrix stored in square root decomposition using upper cholesky.  
                  
    
                          8484<p> 
                  
    
                
                      
    
                        85 This matrix represent <img class="formulaInl" alt="$A=Ch' Ch$" src="form_19.png"> where only the upper triangle <img class="formulaInl" alt="$Ch$" src="form_20.png"> is stored; <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                      
    
                         85This matrix represent <img class="formulaInl" alt="$A=Ch' Ch$" src="form_18.png"> where only the upper triangle <img class="formulaInl" alt="$Ch$" src="form_19.png"> is stored; <table border="0" cellpadding="0" cellspacing="0"> 
                      
    
                
                  
    
                          8686<tr><td></td></tr> 
                  
    
                          8787<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
                  
    
                
              
                
    
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                          350350<li><a class="el" href="chmat_8h-source.html">chmat.h</a><li>chmat.cpp</ul> 
                  
    
                          351351</div> 
                  
    
                
                      
    
                        352 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:29 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8484</td><td><a class="el" href="classbdm_1_1mmix.html">mmix</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classUIdirfilelog.html">UIdirfilelog</a>&nbsp;&nbsp;&nbsp;</td></tr><tr><td><a class="el" href="classbdm_1_1datalink.html">datalink</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1EKFful__unQR.html">EKFful_unQR</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classldmat.html">ldmat</a>&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1mpdf.html">mpdf</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classUIrv.html">UIrv</a>&nbsp;&nbsp;&nbsp;</td></tr><tr><td><a class="el" href="classbdm_1_1datalink__m2e.html">datalink_m2e</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1EKFfull.html">EKFfull</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1linfn.html">linfn</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1MPF.html">MPF</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classUIstateDS.html">UIstateDS</a>&nbsp;&nbsp;&nbsp;</td></tr><tr><td><a class="el" href="classbdm_1_1datalink__m2m.html">datalink_m2m</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1emix.html">emix</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1logger.html">logger</a> (bdm)&nbsp;&nbsp;&nbsp;</td><td><a class="el" href="classbdm_1_1mprod.html">mprod</a> (bdm)&nbsp;&nbsp;&nbsp;</td></tr></table><p><div class="qindex"><a class="qindex" href="#letter_A">A</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_B">B</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_C">C</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_D">D</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_E">E</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_F">F</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_K">K</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_L">L</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_M">M</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_P">P</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_R">R</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_S">S</a>&nbsp;|&nbsp;<a class="qindex" href="#letter_U">U</a></div><p> 
                  
    
                          8585</div> 
                  
    
                
                      
    
                        86 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:27 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         86<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8787<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8888<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          102102  <tr class="memlist"><td><a class="el" href="classsqmat.html#0481f2067bb32aaea7e6d4f27e46b656">~sqmat</a>()</td><td><a class="el" href="classsqmat.html">sqmat</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        104 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:29 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         104<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:28 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          105105<a href="http://www.doxygen.org/index.html"> 
                  
    
                          106106<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          370370<li><a class="el" href="libDC_8h-source.html">libDC.h</a><li>libDC.cpp</ul> 
                  
    
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                        372 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:29 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          374374<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          107107  <tr class="memlist"><td><a class="el" href="classsqmat.html#0481f2067bb32aaea7e6d4f27e46b656">~sqmat</a>()</td><td><a class="el" href="classsqmat.html">sqmat</a></td><td><code> [inline, private, virtual]</code></td></tr> 
                  
    
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                        109 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:30 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          111111<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787<p> 
                  
    
                          8888Matrix is decomposed as follows: <p class="formulaDsp"> 
                  
    
                
                      
    
                        89 <img class="formulaDsp" alt="\[M = L'DL\]" src="form_5.png"> 
                      
    
                      
    
                         89<img class="formulaDsp" alt="\[M = L'DL\]" src="form_20.png"> 
                      
    
                
                  
    
                          9090<p> 
                  
    
                          9191 where only <img class="formulaInl" alt="$L$" src="form_21.png"> and <img class="formulaInl" alt="$D$" src="form_22.png"> matrices are stored. All inplace operations modifies only these and the need to compose and decompose the matrix is avoided. <table border="0" cellpadding="0" cellspacing="0"> 
                  
    
                
              
                
    
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                        505 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:30 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          507507<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8484  <tr class="memlist"><td><a class="el" href="classsqmat.html#0481f2067bb32aaea7e6d4f27e46b656">~sqmat</a>()</td><td><a class="el" href="classsqmat.html">sqmat</a></td><td><code> [inline, virtual]</code></td></tr> 
                  
    
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                        86 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:30 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8787<a href="http://www.doxygen.org/index.html"> 
                  
    
                          8888<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          271271<li><a class="el" href="libDC_8h-source.html">libDC.h</a></ul> 
                  
    
                          272272</div> 
                  
    
                
                      
    
                        273 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:30 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         273<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:28 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          275275<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          128128<p> 
                  
    
                          129129Explicit destructor functions are not required, unless they are needed. It shall not be possible to use any of the other member functions unless the class has been properly initiated with the input parameters. </div> 
                  
    
                
                      
    
                        130 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         130<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          132132<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9595<a name="l00054"></a>00054 <span class="preprocessor">#endif //EKF_TEMP_H</span> 
                  
    
                          9696</pre></div></div> 
                  
    
                
                      
    
                        97 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:22 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         97<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:23 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9898<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9999<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8686</table> 
                  
    
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                        88 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         88<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8989<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9090<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          299299<a name="l00318"></a>00318 <span class="preprocessor">#endif //MX_H</span> 
                  
    
                          300300</pre></div></div> 
                  
    
                
                      
    
                        301 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          303303<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7979 
                  
    
                          8080<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Class representing ratio of two densities which arise e.g. by applying the Bayes rule. It represents density in the form: <p class="formulaDsp"> 
                  
    
                
                      
    
                        81 <img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_79.png"> 
                      
    
                      
    
                         81<img class="formulaDsp" alt="\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \]" src="form_35.png"> 
                      
    
                
                  
    
                          8282<p> 
                  
    
                
                      
    
                        83  where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_80.png">.  <a href="classbdm_1_1mratio.html#_details">More...</a><br></td></tr> 
                      
    
                      
    
                         83 where <img class="formulaInl" alt="$ f(rvc) = \int f(rv,rvc) d\ rv $" src="form_36.png">.  <a href="classbdm_1_1mratio.html#_details">More...</a><br></td></tr> 
                      
    
                
                  
    
                          8484<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1emix.html">bdm::emix</a></td></tr> 
                  
    
                          8585 
                  
    
                
              
                
    
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                          100100<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        94 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:58 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         94<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:49 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          9696<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        1 \form#0:$A=\frac{df}{dx}|_{x0,u0}$ 
                      
    
                        2 \form#1:$A=\frac{d}{dx}f(x,u)|_{x0,u0}$ 
                      
    
                        3 \form#2:$A=\frac{d}{du}f(x,u)|_{x0,u0}$ 
                      
    
                        4 \form#3:$x \sim epdf(rv)$ 
                      
    
                        5 \form#4:\[ f(x|a,b) = \prod f(x_i|a_i,b_i) \] 
                      
    
                        6 \form#5:\[M = L'DL\] 
                      
    
                        7 \form#6:\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \] 
                      
    
                        8 \form#7:\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \] 
                      
    
                        9 \form#8:\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \] 
                      
    
                        10 \form#9:$x^{(i)}, i=1..n$ 
                      
    
                        11 \form#10:$x \sim epdf(rv|cond)$ 
                      
    
                        12 \form#11:$\alpha=k$ 
                      
    
                        13 \form#12:$\beta=k/\mu$ 
                      
    
                        14 \form#13:$\mu/\sqrt(k)$ 
                      
    
                        15 \form#14:$\mu$ 
                      
    
                        16 \form#15:$\alpha$ 
                      
    
                        17 \form#16:$\beta$ 
                      
    
                        18 \form#17:\[ \left[\begin{array}{cc} R^{0.5}\\ P_{t|t-1}^{0.5}C' & P_{t|t-1}^{0.5}CA'\\ & Q^{0.5}\end{array}\right]<\mathrm{orth.oper.}>=\left[\begin{array}{cc} R_{y}^{0.5} & KA'\\ & P_{t+1|t}^{0.5}\\ \\\end{array}\right]\] 
                      
    
                        19 \form#18:\[ \mu = \mu_{t-1} ^{l} p^{1-l}\] 
                      
    
                        20 \form#19:$A=Ch' Ch$ 
                      
    
                        21 \form#20:$Ch$ 
                      
    
                      
    
                         1\form#0:\[ y_t = \theta_1 \psi_1 + \theta_2 + \psi_2 +\ldots + \theta_n \psi_n + r e_t \] 
                      
    
                         2\form#1:$[\theta r]$ 
                      
    
                         3\form#2:$\psi=\psi(y_{1:t},u_{1:t})$ 
                      
    
                         4\form#3:$u_t$ 
                      
    
                         5\form#4:$e_t$ 
                      
    
                         6\form#5:\[ e_t \sim \mathcal{N}(0,1). \] 
                      
    
                         7\form#6:$ y_t $ 
                      
    
                         8\form#7:$\theta,r$ 
                      
    
                         9\form#8:$ dt = [y_t psi_t] $ 
                      
    
                         10\form#9:\[ x_t = A x_{t-1} + B u_t + Q^{1/2} e_t \] 
                      
    
                         11\form#10:\[ y_t = C x_{t-1} + C u_t + Q^{1/2} w_t. \] 
                      
    
                         12\form#11:\[ \left[\begin{array}{cc} R^{0.5}\\ P_{t|t-1}^{0.5}C' & P_{t|t-1}^{0.5}CA'\\ & Q^{0.5}\end{array}\right]<\mathrm{orth.oper.}>=\left[\begin{array}{cc} R_{y}^{0.5} & KA'\\ & P_{t+1|t}^{0.5}\\ \\\end{array}\right]\] 
                      
    
                         13\form#12:\[ f(y_t|\psi_t, \Theta) = \sum_{i=1}^{n} w_i f(y_t|\psi_t, \theta_i) \] 
                      
    
                         14\form#13:$\psi$ 
                      
    
                         15\form#14:$w=[w_1,\ldots,w_n]$ 
                      
    
                         16\form#15:$\theta_i$ 
                      
    
                         17\form#16:$\Theta$ 
                      
    
                         18\form#17:$\Theta = [\theta_1,\ldots,\theta_n,w]$ 
                      
    
                         19\form#18:$A=Ch' Ch$ 
                      
    
                         20\form#19:$Ch$ 
                      
    
                         21\form#20:\[M = L'DL\] 
                      
    
                
                  
    
                          2222\form#21:$L$ 
                  
    
                          2323\form#22:$D$ 
                  
    
                
              
                
    
                  …
                  …
                   
                
    
                  
            
                  
    
                          3434\form#33:$L'DL$ 
                  
    
                          3535\form#34:$A'*diag(D)*A = self.L'*diag(self.D)*self.L$ 
                  
    
                
                      
    
                        36 \form#35:$f(x)$ 
                      
    
                        37 \form#36:$f(rv|rvc,data)$ 
                      
    
                        38 \form#37:$x=$ 
                      
    
                        39 \form#38:$t$ 
                      
    
                        40 \form#39:$t+1$ 
                      
    
                        41 \form#40:$mu=A*rvc$ 
                      
    
                        42 \form#41:$k$ 
                      
    
                        43 \form#42:$p$ 
                      
    
                        44 \form#43:$l$ 
                      
    
                        45 \form#44:$w$ 
                      
    
                        46 \form#45:$f(x) = a$ 
                      
    
                        47 \form#46:$f(x) = Ax+B$ 
                      
    
                        48 \form#47:$f(x,u)$ 
                      
    
                        49 \form#48:$f(x,u) = Ax+Bu$ 
                      
    
                        50 \form#49:$f(x0,u0)$ 
                      
    
                        51 \form#50:$u$ 
                      
    
                        52 \form#51:$[\theta r]$ 
                      
    
                        53 \form#52:$\psi=\psi(y_{1:t},u_{1:t})$ 
                      
    
                        54 \form#53:$u_t$ 
                      
    
                        55 \form#54:$e_t$ 
                      
    
                        56 \form#55:$\theta_t,r_t$ 
                      
    
                        57 \form#56:$\in <0,1>$ 
                      
    
                        58 \form#57:$\theta,r$ 
                      
    
                        59 \form#58:$dt = [y_t psi_t] $ 
                      
    
                        60 \form#59:$epdf(rv)$ 
                      
    
                        61 \form#60:$\mathcal{I}$ 
                      
    
                        62 \form#61:\[ y_t = \theta_1 \psi_1 + \theta_2 + \psi_2 +\ldots + \theta_n \psi_n + r e_t \] 
                      
    
                        63 \form#62:\[ e_t \sim \mathcal{N}(0,1). \] 
                      
    
                        64 \form#63:\[ f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1. \] 
                      
    
                        65 \form#64:$f_i(x)$ 
                      
    
                        66 \form#65:$\omega$ 
                      
    
                        67 \form#66:\[ f(y_t|\psi_t, \Theta) = \sum_{i=1}^{n} w_i f(y_t|\psi_t, \theta_i) \] 
                      
    
                        68 \form#67:$\psi$ 
                      
    
                        69 \form#68:$w=[w_1,\ldots,w_n]$ 
                      
    
                        70 \form#69:$\theta_i$ 
                      
    
                        71 \form#70:$\Theta$ 
                      
    
                        72 \form#71:$\Theta = [\theta_1,\ldots,\theta_n,w]$ 
                      
    
                        73 \form#72:$p\times$ 
                      
    
                        74 \form#73:$n$ 
                      
    
                        75 \form#74:\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^(\beta_i-1) \] 
                      
    
                        76 \form#75:$\gamma=\sum_i beta_i$ 
                      
    
                        77 \form#76:\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} \] 
                      
    
                        78 \form#77:$\gamma=\sum_i \beta_i$ 
                      
    
                        79 \form#78:$mu=A*rvc+mu_0$ 
                      
    
                        80 \form#79:\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \] 
                      
    
                        81 \form#80:$ f(rvc) = \int f(rv,rvc) d\ rv $ 
                      
    
                        82 \form#81:\[ f(\theta|D) =\frac{f(D|\theta)f(\theta)}{f(D)}\] 
                      
    
                        83 \form#82:$ \theta $ 
                      
    
                        84 \form#83:$ D $ 
                      
    
                        85 \form#84:$ f(D|\theta) $ 
                      
    
                        86 \form#85:$ f(\theta) $ 
                      
    
                        87 \form#86:$ f(D) $ 
                      
    
                        88 \form#87:$\alpha=\mu/k+2$ 
                      
    
                        89 \form#88:$\beta=\mu(\alpha-1)$ 
                      
    
                        90 \form#89:\[ f(a,b,c) = f(a|b,c) f(b) f(c) \] 
                      
    
                        91 \form#90:$ f(a|b,c) $ 
                      
    
                        92 \form#91:$ f(b) $ 
                      
    
                        93 \form#92:$ f(c) $ 
                      
    
                        94 \form#93:\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \] 
                      
    
                        95 \form#94:$y_t$ 
                      
    
                        96 \form#95:$[\theta,\rho]$ 
                      
    
                        97 \form#96:$\phi_t$ 
                      
    
                        98 \form#97:$\mathcal{N}(0,1)$ 
                      
    
                        99 \form#98:$\phi$ 
                      
    
                        100 \form#99:\[ y_t = \theta' \phi_t + \rho e_t \] 
                      
    
                        101 \form#100:$[u_t, y_{t-1 }, u_{t-1}, \ldots]$ 
                      
    
                        102 \form#101:\[ y_t = \theta' \psi_t + \rho e_t \] 
                      
    
                      
    
                         36\form#35:\[ f(rv|rvc) = \frac{f(rv,rvc)}{f(rvc)} \] 
                      
    
                         37\form#36:$ f(rvc) = \int f(rv,rvc) d\ rv $ 
                      
    
                         38\form#37:\[ f(x) = \sum_{i=1}^{n} w_{i} f_i(x), \quad \sum_{i=1}^n w_i = 1. \] 
                      
    
                         39\form#38:$f_i(x)$ 
                      
    
                         40\form#39:$f(x)$ 
                      
    
                         41\form#40:$f(rv|rvc,data)$ 
                      
    
                         42\form#41:$x=$ 
                      
    
                         43\form#42:$ x $ 
                      
    
                         44\form#43:$ f_x()$ 
                      
    
                         45\form#44:$ [x_1 , x_2 , \ldots \ $ 
                      
    
                         46\form#45:$ f_x(rv)$ 
                      
    
                         47\form#46:$x \sim epdf(rv|cond)$ 
                      
    
                         48\form#47:$ t $ 
                      
    
                         49\form#48:$ t+1 $ 
                      
    
                         50\form#49:$ f(d_{t+1} |d_{t}, \ldots d_{0}) $ 
                      
    
                         51\form#50:$t$ 
                      
    
                         52\form#51:$[y_t, u_t, y_{t-1 }, u_{t-1}, \ldots]$ 
                      
    
                         53\form#52:$ f(x_t|x_{t-1}) $ 
                      
    
                         54\form#53:$ f(d_t|x_t) $ 
                      
    
                         55\form#54:$p$ 
                      
    
                         56\form#55:$p\times$ 
                      
    
                         57\form#56:$n$ 
                      
    
                         58\form#57:\[ f(x|\beta) = \frac{\Gamma[\gamma]}{\prod_{i=1}^{n}\Gamma(\beta_i)} \prod_{i=1}^{n}x_i^{\beta_i-1} \] 
                      
    
                         59\form#58:$\gamma=\sum_i \beta_i$ 
                      
    
                         60\form#59:\[ f(x|\alpha,\beta) = \prod f(x_i|\alpha_i,\beta_i) \] 
                      
    
                         61\form#60:\[ x\sim iG(a,b) => 1/x\sim G(a,1/b) \] 
                      
    
                         62\form#61:$mu=A*rvc+mu_0$ 
                      
    
                         63\form#62:$\mu$ 
                      
    
                         64\form#63:$k$ 
                      
    
                         65\form#64:$\alpha=k$ 
                      
    
                         66\form#65:$\beta=k/\mu$ 
                      
    
                         67\form#66:$\mu/\sqrt(k)$ 
                      
    
                         68\form#67:$ \mu $ 
                      
    
                         69\form#68:$ k $ 
                      
    
                         70\form#69:$ \alpha=\mu/k^2+2 $ 
                      
    
                         71\form#70:$ \beta=\mu(\alpha-1)$ 
                      
    
                         72\form#71:$ \mu/\sqrt(k)$ 
                      
    
                         73\form#72:$l$ 
                      
    
                         74\form#73:\[ \mu = \mu_{t-1} ^{l} p^{1-l}\] 
                      
    
                         75\form#74:$\mathcal{I}$ 
                      
    
                         76\form#75:$\alpha$ 
                      
    
                         77\form#76:$\beta$ 
                      
    
                         78\form#77:$w$ 
                      
    
                         79\form#78:$x^{(i)}, i=1..n$ 
                      
    
                         80\form#79:$f(x) = a$ 
                      
    
                         81\form#80:$f(x) = Ax+B$ 
                      
    
                         82\form#81:$f(x,u)$ 
                      
    
                         83\form#82:$f(x,u) = Ax+Bu$ 
                      
    
                         84\form#83:$f(x0,u0)$ 
                      
    
                         85\form#84:$A=\frac{d}{dx}f(x,u)|_{x0,u0}$ 
                      
    
                         86\form#85:$u$ 
                      
    
                         87\form#86:$A=\frac{d}{du}f(x,u)|_{x0,u0}$ 
                      
    
                         88\form#87:$ f(D) $ 
                      
    
                         89\form#88:\[ f(a,b,c) = f(a|b,c) f(b) f(c) \] 
                      
    
                         90\form#89:$ f(a|b,c) $ 
                      
    
                         91\form#90:$ f(b) $ 
                      
    
                         92\form#91:$ f(c) $ 
                      
    
                         93\form#92:\begin{eqnarray} x_t &= &A x_{t-1} + B u_{t} + v_t,\\ y_t &= &C x_{t} + D u_{t} + w_t, \end{eqnarray} 
                      
    
                         94\form#93:$ x_t $ 
                      
    
                         95\form#94:$ A, B, C, D$ 
                      
    
                         96\form#95:$v_t, w_t$ 
                      
    
                         97\form#96:$Q, R$ 
                      
    
                         98\form#97:\begin{eqnarray} x_t &= &g( x_{t-1}, u_{t}) + v_t,\\ y_t &= &h( x_{t} , u_{t}) + w_t, \end{eqnarray} 
                      
    
                         99\form#98:$ g(), h() $ 
                      
    
                         100\form#99:\[ y_t = \theta' \psi_t + \rho e_t \] 
                      
    
                         101\form#100:$y_t$ 
                      
    
                         102\form#101:$[\theta,\rho]$ 
                      
    
                
                  
    
                          103103\form#102:$\psi_t$ 
                  
    
                
                      
    
                        104 \form#103:$[y_t, u_t, y_{t-1 }, u_{t-1}, \ldots]$ 
                      
    
                        105 \form#104:$ f(x_t|x_{t-1}) $ 
                      
    
                        106 \form#105:$ f(d_t|x_t) $ 
                      
    
                        107 \form#106:$ x $ 
                      
    
                        108 \form#107:$ f_x()$ 
                      
    
                        109 \form#108:$ [x_1 , x_2 , \ldots \ $ 
                      
    
                        110 \form#109:$ f_x(rv)$ 
                      
    
                        111 \form#110:$ t $ 
                      
    
                        112 \form#111:$ t+1 $ 
                      
    
                        113 \form#112:$ f(d_{t+1} |d_{t}, \ldots d_{0}) $ 
                      
    
                        114 \form#113:$ \mu $ 
                      
    
                        115 \form#114:$ k $ 
                      
    
                        116 \form#115:$ \alpha=\mu/k^2+2 $ 
                      
    
                        117 \form#116:$ \beta=\mu(\alpha-1)$ 
                      
    
                        118 \form#117:$ \mu/\sqrt(k)$ 
                      
    
                        119 \form#118:$ y_t $ 
                      
    
                        120 \form#119:$ dt = [y_t psi_t] $ 
                      
    
                        121 \form#120:$ [d_1, d_2, \ldots d_t] $ 
                      
    
                        122 \form#121:\begin{eqnarray} x_t &= &A x_{t-1} + B u_{t} + v_t,\\ y_t &= &C x_{t} + D u_{t} + w_t, \end{eqnarray} 
                      
    
                        123 \form#122:$ x_t $ 
                      
    
                        124 \form#123:$ A, B, C, D$ 
                      
    
                        125 \form#124:$v_t, w_t$ 
                      
    
                        126 \form#125:$Q, R\$, respectively. Both prior and posterior densities on the state are Gaussian, i.e. of the class enorm. There is a range of classes that implements this functionality, namely: - KalmanFull which implements the estimation algorithm on full matrices, - KalmanCh which implements the estimation algorithm using choleski decompositions and QR algorithm. \section ekf Extended Kalman Filtering Extended Kalman filtering arise by linearization of non-linear state space model: \f{eqnarray} x_t &= &g( x_{t-1}, u_{t}) + v_t,\\ y_t &= &h( x_{t} , u_{t}) + w_t, \f} where $ 
                      
    
                        127 \form#126:$Q, R$ 
                      
    
                        128 \form#127:\begin{eqnarray} x_t &= &g( x_{t-1}, u_{t}) + v_t,\\ y_t &= &h( x_{t} , u_{t}) + w_t, \end{eqnarray} 
                      
    
                        129 \form#128:$ g(), h() $ 
                      
    
                        130 \form#129:\[ V_t = \sum_{i=0}^{n} \left[\begin{array}{c}y_{t}\\ \psi_{t}\end{array}\right] \begin{array}{c} [y_{t}',\,\psi_{t}']\\ \\\end{array} \] 
                      
    
                        131 \form#130:\[ \nu_t = \sum_{i=0}^{n} 1 \] 
                      
    
                        132 \form#131:$ \theta_t , r_t $ 
                      
    
                        133 \form#132:\[ V_t = V_{t-1} + \phi \left[\begin{array}{c}y_{t}\\ \psi_{t}\end{array}\right] \begin{array}{c} [y_{t}',\,\psi_{t}']\\ \\\end{array} +(1-\phi) V_0 \] 
                      
    
                        134 \form#133:\[ \nu_t = \nu_{t-1} + \phi + (1-\phi) \nu_0 \] 
                      
    
                        135 \form#134:$ \phi $ 
                      
    
                        136 \form#135:$ \phi \in [0,1]$ 
                      
    
                        137 \form#136:\[ \mathrm{win_length} = \frac{1}{1-\phi}\] 
                      
    
                        138 \form#137:$ \phi=0.9 $ 
                      
    
                        139 \form#138:$ V_0 , \nu_0 $ 
                      
    
                        140 \form#139:$ V_t , \nu_t $ 
                      
    
                        141 \form#140:$ \phi<1 $ 
                      
    
                      
    
                         104\form#103:$\mathcal{N}(0,1)$ 
                      
    
                         105\form#104:\[ V_t = \sum_{i=0}^{n} \left[\begin{array}{c}y_{t}\\ \psi_{t}\end{array}\right] \begin{array}{c} [y_{t}',\,\psi_{t}']\\ \\\end{array} \] 
                      
    
                         106\form#105:\[ \nu_t = \sum_{i=0}^{n} 1 \] 
                      
    
                         107\form#106:$ \theta_t , r_t $ 
                      
    
                         108\form#107:\[ V_t = V_{t-1} + \phi \left[\begin{array}{c}y_{t}\\ \psi_{t}\end{array}\right] \begin{array}{c} [y_{t}',\,\psi_{t}']\\ \\\end{array} +(1-\phi) V_0 \] 
                      
    
                         109\form#108:\[ \nu_t = \nu_{t-1} + \phi + (1-\phi) \nu_0 \] 
                      
    
                         110\form#109:$ \phi $ 
                      
    
                         111\form#110:$ \phi \in [0,1]$ 
                      
    
                         112\form#111:\[ \mathrm{win_length} = \frac{1}{1-\phi}\] 
                      
    
                         113\form#112:$ \phi=0.9 $ 
                      
    
                         114\form#113:$ V_0 , \nu_0 $ 
                      
    
                         115\form#114:$ V_t , \nu_t $ 
                      
    
                         116\form#115:$ \phi<1 $ 
                      
    
                         117\form#116:$ [d_1, d_2, \ldots d_t] $ 
                      
    
                
        
    
      
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                        189 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:27 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        131 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        143 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         143<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        136 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        118 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        146 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         146<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        207 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         207<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        123 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         123<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        119 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         119<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        134 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        123 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         123<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        113 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         113<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        129 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        163 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        116 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        139 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        142 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        133 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        162 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        122 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        120 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        127 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        118 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          120120<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        145 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          147147<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        171 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          173173<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        131 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          133133<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        121 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:28 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        145 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:27 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8888</pre></div> Off-line estimation is implemented by method <div class="fragment"><pre class="fragment"> <span class="keywordtype">void</span> bayesB(mat D) 
                  
    
                          8989</pre></div><p> 
                  
    
                
                      
    
                        90 As an intermediate product, the bayes rule computes marginal likelihood of the data records <img class="formulaInl" alt="$ f(D) $" src="form_86.png">. Numerical value of this quantity which is important e.g. for model selection can be obtained by calling method <code>_ll()</code>.<h2><a class="anchor" name="epdf"> 
                      
    
                      
    
                         90As an intermediate product, the bayes rule computes marginal likelihood of the data records <img class="formulaInl" alt="$ f(D) $" src="form_87.png">. Numerical value of this quantity which is important e.g. for model selection can be obtained by calling method <code>_ll()</code>.<h2><a class="anchor" name="epdf"> 
                      
    
                
                  
    
                          9191Getting results from BM</a></h2> 
                  
    
                          9292Class <code>BM</code> offers several ways how to obtain results: <ul> 
                  
    
                
              
                
    
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                          111111The former class is an extension of mpdf that allows conditioning on a symbolic variable. Hence, when numerical results - such as samples - are required, numericla values of the condition must be provided. The names of methods of the <code>epdf</code> are used extended by suffix <code>cond</code>, i.e. <code>samplecond()</code>, <code>evallogcond()</code>, where <code>cond</code> precedes matrix estension, i.e. <code>samplecond_m()</code> and <code>evallogcond_m()</code>.<p> 
                  
    
                          112112The latter class is used to identify how symbolic variables are to be combined together. For example, consider the task of composition of pdfs via the chain rule: <p class="formulaDsp"> 
                  
    
                
                      
    
                        113 <img class="formulaDsp" alt="\[ f(a,b,c) = f(a|b,c) f(b) f(c) \]" src="form_89.png"> 
                      
    
                      
    
                         113<img class="formulaDsp" alt="\[ f(a,b,c) = f(a|b,c) f(b) f(c) \]" src="form_88.png"> 
                      
    
                
                  
    
                          114114<p> 
                  
    
                
                      
    
                        115  In our setup, <img class="formulaInl" alt="$ f(a|b,c) $" src="form_90.png"> is represented by an <code>mpdf</code> while <img class="formulaInl" alt="$ f(b) $" src="form_91.png"> and <img class="formulaInl" alt="$ f(c) $" src="form_92.png"> by two <code>epdfs</code>. We need to distinguish the latter two from each other and to deside in which order they should be added to the mpdf. This distinction is facilitated by the class <code>RV</code> which uniquely identify a random varibale.<p> 
                      
    
                      
    
                         115 In our setup, <img class="formulaInl" alt="$ f(a|b,c) $" src="form_89.png"> is represented by an <code>mpdf</code> while <img class="formulaInl" alt="$ f(b) $" src="form_90.png"> and <img class="formulaInl" alt="$ f(c) $" src="form_91.png"> by two <code>epdfs</code>. We need to distinguish the latter two from each other and to deside in which order they should be added to the mpdf. This distinction is facilitated by the class <code>RV</code> which uniquely identify a random varibale.<p> 
                      
    
                
                  
    
                          116116Therefore, each pdf keeps record on which RVs it represents; <code>epdf</code> needs to know only one <code>RV</code> stored in the attribute <code>rv</code>; <code>mpdf</code> needs to keep two <code>RVs</code>, one for variable on which it is defined (<code>rv</code>) and one for variable incondition which is stored in attribute <code>rvc</code>. </div> 
                  
    
                
                      
    
                        117 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          105105a = [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20] 
                  
    
                          106106</pre></div> </div> 
                  
    
                
                      
    
                        107 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         107<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          109109<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          129129<a name="l00087"></a>00087 <span class="preprocessor">#endif //ITEX_H</span> 
                  
    
                          130130</pre></div></div> 
                  
    
                
                      
    
                        131 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         131<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:23 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          133133<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          9191<a name="l00033"></a>00033 <span class="preprocessor">#endif ITPPCONF</span> 
                  
    
                          9292</pre></div></div> 
                  
    
                
                      
    
                        93 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         93<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:23 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9494<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9595<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          442442<a name="l00675"></a>00675 <span class="preprocessor">#endif // BM_H</span> 
                  
    
                          443443</pre></div></div> 
                  
    
                
                      
    
                        444 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          445445<a href="http://www.doxygen.org/index.html"> 
                  
    
                          446446<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          8787<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fnc.html">bdm::fnc</a></td></tr> 
                  
    
                          8888 
                  
    
                
                      
    
                        89 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Class representing function <img class="formulaInl" alt="$f(x)$" src="form_35.png"> of variable <img class="formulaInl" alt="$x$" src="form_28.png"> represented by <code>rv</code>.  <a href="classbdm_1_1fnc.html#_details">More...</a><br></td></tr> 
                      
    
                      
    
                         89<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Class representing function <img class="formulaInl" alt="$f(x)$" src="form_39.png"> of variable <img class="formulaInl" alt="$x$" src="form_28.png"> represented by <code>rv</code>.  <a href="classbdm_1_1fnc.html#_details">More...</a><br></td></tr> 
                      
    
                
                  
    
                          9090<tr><td class="memItemLeft" nowrap align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1epdf.html">bdm::epdf</a></td></tr> 
                  
    
                          9191 
                  
    
                
              
                
    
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                        140 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         140<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          215215<a name="l00293"></a>00293 <span class="preprocessor">#endif // DC_H</span> 
                  
    
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                        217 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        94 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         94<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          9595<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9696<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          196196<a name="l00183"></a>00183 <span class="preprocessor">#endif // DS_H</span> 
                  
    
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                        198 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         198<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                        88 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         88<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8989<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9090<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          110110<a name="l00124"></a>00124 <span class="preprocessor">#endif // DS_UI_H</span> 
                  
    
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                        112 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         112<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          114114<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        88 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         88<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          9090<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          676676<a name="l00874"></a>00874 <span class="preprocessor">#endif //EF_H</span> 
                  
    
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                        678 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         678<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          680680<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        142 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         142<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          144144<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          154154<a name="l00135"></a>00135 <span class="preprocessor">#endif // FN_H</span> 
                  
    
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                        156 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         156<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          158158<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          345345<a name="l00408"></a>00408  
                  
    
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                        347 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         347<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          349349<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        105 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         105<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          107107<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          227227<a name="l00208"></a>00208  
                  
    
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                        229 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         229<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          231231<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        88 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:25 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         88<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
                          8989<a href="http://www.doxygen.org/index.html"> 
                  
    
                          9090<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          104104<a name="l00087"></a>00087 <span class="preprocessor">#endif // LGR_H</span> 
                  
    
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                        106 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         106<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          108108<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        85 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         85<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          8787<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          100100<a name="l00077"></a>00077 <span class="preprocessor">#endif // LGR_H</span> 
                  
    
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                        102 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          104104<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        90 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         90<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:27 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          9292<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          166166<a name="l00144"></a>00144 <span class="preprocessor">#endif // MER_H</span> 
                  
    
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                        168 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                        82 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          103103<a name="l00047"></a>00047 UIREGISTER(UImexlog); 
                  
    
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                        105 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:23 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          133133<a name="l00121"></a>00121  
                  
    
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                        135 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         135<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:24 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          137137<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        89 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          9191<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        122 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:27 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          124124<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          7777<a name="l00028"></a>00028 <span class="keywordtype">void</span> makedir(<span class="keywordtype">string</span> &amp;dirname, <span class="keywordtype">bool</span> rewrite = <span class="keyword">true</span>); 
                  
    
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                        79 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:24 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          8181<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                        70 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:22 2009 for mixpp by&nbsp; 
                      
    
                      
    
                         70<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:23 2009 for mixpp by&nbsp; 
                      
    
                
                  
    
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                          7272<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          105105The sum of all integers from 0 to 999999 equals 1783293664 
                  
    
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                        107 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          6767<li>To be done... </li></ul> 
                  
    
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                        69 <hr size="1"><address style="text-align: right;"><small>Generated on Sun Feb 15 23:09:26 2009 for mixpp by&nbsp; 
                      
    
                      
    
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                          7171<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
                  
    
                
        
    
      
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                          233233<a name="l00186"></a>00186 <span class="preprocessor">#endif //UIBUILD</span> 
                  
    
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                          116116If this is what you see, then congratulations! You have managed to compile your first it++ program! </div> 
                  
    
                
                      
    
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