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From l..@apache.org
Subject svn commit: r908889 [20/28] - in /websites/production/commons/content/proper/commons-math: ./ css/ images/ images/logos/ images/userguide/ img/ js/ userguide/
Date Thu, 15 May 2014 09:28:46 GMT
Modified: websites/production/commons/content/proper/commons-math/userguide/complex.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/userguide/complex.html (original)
+++ websites/production/commons/content/proper/commons-math/userguide/complex.html Thu May 15 09:28:44 2014
@@ -1,240 +1,303 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
-<!-- Generated by Apache Maven Doxia at 03 November 2013 ( $Revision: 1080083 $ ) -->
-<!-- $HeadURL: https://svn.apache.org/repos/asf/commons/proper/commons-skin/trunk/src/main/resources/META-INF/maven/site.vm $ -->
+<!DOCTYPE html>
+<!--
+ | Generated by Apache Maven Doxia at 15 May 2014
+ | Rendered using Apache Maven Fluido Skin 1.3.0
+-->
 <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
   <head>
-    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
+    <meta charset="UTF-8" />
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+    <meta name="Date-Revision-yyyymmdd" content="20140515" />
+    <meta http-equiv="Content-Language" content="en" />
     <title>Math - 
     The Commons Math User Guide - Complex Numbers</title>
-    <style type="text/css" media="all">
-      @import url("../css/maven-base.css");
-      @import url("../css/maven-theme.css");
-      @import url("../css/site.css");
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-    <link rel="stylesheet" href="../css/print.css" type="text/css" media="print" />
-    <meta name="Date-Revision-yyyymmdd" content="20131103" />
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+	<script type="text/javascript" src="../js/site.js"></script>
+
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+<script src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"></script>                                
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+                                                                                                    <a href="http://maven.apache.org/" title="Maven" class="builtBy">
+        <img class="builtBy"  alt="Maven" src="http://maven.apache.org/images/logos/maven-feather.png"    />
       </a>
-                       
-                
-            </div>
-    </div>
-    <div id="bodyColumn">
-      <div id="contentBox">
-        <!-- Licensed to the Apache Software Foundation (ASF) under one or more
+          						</div>
+					</td>
+					<td class="content">
+						<!-- Licensed to the Apache Software Foundation (ASF) under one or more
   contributor license agreements.  See the NOTICE file distributed with
   this work for additional information regarding copyright ownership.
   The ASF licenses this file to You under the Apache License, Version 2.0
@@ -247,7 +310,7 @@
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
-   limitations under the License. --><!-- $Id: complex.xml 1291806 2012-02-21 14:31:56Z erans $ -->
+   limitations under the License. --><!-- $Id: complex.xml 1541350 2013-11-13 01:34:10Z psteitz $ -->
   
     <div class="section">
 <h2>7 Complex Numbers<a name="a7_Complex_Numbers"></a></h2>
@@ -324,10 +387,6 @@ Complex answer = lhs.add(rhs);       // 
           <a href="../apidocs/org/apache/commons/math3/complex/Complex.html">
           Complex</a> also provides implementations of serveral transcendental
           functions involving complex number arguments.
-          Prior to version 1.2, these functions were provided
-          by <a href="../apidocs/org/apache/commons/math3/complex/ComplexUtils.html">
-          ComplexUtils</a> in a way similar to the real number functions found in
-          <tt>java.lang.Math</tt>, but this has been deprecated.
           These operations provide the means to compute the log, sine, tangent,
           and other complex values :
           </p>
@@ -405,23 +464,19 @@ Complex c = cf.parse(&quot;1.110 + 2.222
     </div>
   
 
-      </div>
-    </div>
-    <div class="clear">
-      <hr/>
-    </div>
-    <div id="footer">
-      <div class="center">Copyright &#169;                    2003-2013
+					</td>
+				</tr>
+			</table>
+		</div>
+
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+			<p>Copyright &copy;                    2003-2014
                         <a href="http://www.apache.org/">The Apache Software Foundation</a>.
-            All Rights Reserved.      
-                
-      </div>
-                          
-<div class="center">Apache Commons, Apache Apache Commons Math, Apache, the Apache feather logo, and the Apache Commons project logos are trademarks of The Apache Software Foundation.
+            All Rights Reserved.</p>
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+<div class="center">Apache Commons, Apache Commons Math, Apache, the Apache feather logo, and the Apache Commons project logos are trademarks of The Apache Software Foundation.
       All other marks mentioned may be trademarks or registered trademarks of their respective owners.</div>
-                <div class="clear">
-        <hr/>
-      </div>
-    </div>
-  </body>
+                          		</div>
+	</body>
+
 </html>
\ No newline at end of file

Modified: websites/production/commons/content/proper/commons-math/userguide/distribution.html
==============================================================================
--- websites/production/commons/content/proper/commons-math/userguide/distribution.html (original)
+++ websites/production/commons/content/proper/commons-math/userguide/distribution.html Thu May 15 09:28:44 2014
@@ -1,240 +1,303 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
-<!-- Generated by Apache Maven Doxia at 03 November 2013 ( $Revision: 1080083 $ ) -->
-<!-- $HeadURL: https://svn.apache.org/repos/asf/commons/proper/commons-skin/trunk/src/main/resources/META-INF/maven/site.vm $ -->
+<!DOCTYPE html>
+<!--
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+ | Rendered using Apache Maven Fluido Skin 1.3.0
+-->
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     <title>Math - 
     The Commons Math User Guide - Distributions</title>
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-      @import url("../css/maven-base.css");
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+        <img class="builtBy"  alt="ApacheCon" src="http://www.apache.org/events/current-event-125x125.png"    />
       </a>
-                                                                                                    <a href="http://maven.apache.org/" title="Maven" class="poweredBy">
-        <img class="poweredBy"  alt="Maven" src="http://maven.apache.org/images/logos/maven-feather.png"    />
+                                                                                                    <a href="http://maven.apache.org/" title="Maven" class="builtBy">
+        <img class="builtBy"  alt="Maven" src="http://maven.apache.org/images/logos/maven-feather.png"    />
       </a>
-                       
-                
-            </div>
-    </div>
-    <div id="bodyColumn">
-      <div id="contentBox">
-        <!-- Licensed to the Apache Software Foundation (ASF) under one or more
+          						</div>
+					</td>
+					<td class="content">
+						<!-- Licensed to the Apache Software Foundation (ASF) under one or more
   contributor license agreements.  See the NOTICE file distributed with
   this work for additional information regarding copyright ownership.
   The ASF licenses this file to You under the Apache License, Version 2.0
@@ -247,7 +310,7 @@
    distributed under the License is distributed on an "AS IS" BASIS,
    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
    See the License for the specific language governing permissions and
-   limitations under the License. --><!-- $Id: distribution.xml 1538293 2013-11-02 22:01:24Z tn $ -->
+   limitations under the License. --><!-- $Id: distribution.xml 1540566 2013-11-10 22:19:10Z psteitz $ -->
   
     <div class="section">
 <h2>8 Probability Distributions<a name="a8_Probability_Distributions"></a></h2>
@@ -256,7 +319,7 @@
 <h3>8.1 Overview<a name="a8.1_Overview"></a></h3>
         
 <p>
-          The distributions package provide a framework for some commonly used
+          The distributions package provides a framework and implementations for some commonly used
           probability distributions.
         </p>
         
@@ -271,59 +334,62 @@
         
 <p>
           The distribution framework provides the means to compute probability density
-          function (PDF) probabilities and cumulative distribution function (CDF)
-          probabilities for common probability distributions. Along with the direct
-          computation of PDF and CDF probabilities, the framework also allows for the
-          computation of inverse PDF and inverse CDF values.
+          functions (<tt>density(&#xb7;)</tt>), probability mass functions
+          (<tt>probability(&#xb7;)</tt>) and distribution functions
+          (<tt>cumulativeProbability(&#xb7;)</tt>) for both
+          discrete (integer-valued) and continuous probability distributions.
+          The framework also allows for the computation of inverse cumulative probabilities.
         </p>
         
 <p>
-          Using a distribution object, PDF and CDF probabilities are easily computed
-          using the <tt>cumulativeProbability</tt> methods.  For a distribution
-          <tt>X</tt>, and a domain value, <tt>x</tt>,
-          <tt>cumulativeProbability</tt> computes <tt>P(X &lt;= x)</tt>
-          (i.e. the lower tail probability of <tt>X</tt>).
+          For an instance <tt>f</tt> of a distribution <tt>F</tt>,
+          and a domain value, <tt>x</tt>, <tt>f.cumulativeProbability(x)</tt>
+          computes <tt>P(X &lt;= x)</tt> where <tt>X</tt> is a random variable distributed
+          as <tt>f</tt>, i.e., <tt>f.cumulativeProbability(&#xb7;)</tt> represents
+          the distribution function of <tt>f</tt>. If <tt>f</tt> is continuous,
+          (implementing the <tt>RealDistribution</tt> interface) the probability density
+          function of <tt>f</tt> is represented by <tt>f.density(&#xb7;)</tt>.
+          For discrete <tt>f</tt> (implementing <tt>IntegerDistribution</tt>), the probability
+          mass function is represented by <tt>f.probability(&#xb7;)</tt>.  Continuous
+          distributions also implement <tt>probability(&#xb7;)</tt> with the same
+          definition (<tt>f.probability(x)</tt> represents <tt>P(X = x)</tt>
+          where <tt>X</tt> is distributed as <tt>f</tt>), though in the continuous
+          case, this will usually be identically 0. 
         </p>
 
 <div class="source">
 <pre>TDistribution t = new TDistribution(29);
-double lowerTail = t.cumulativeProbability(-2.656);     // P(T &lt;= -2.656)
-double upperTail = 1.0 - t.cumulativeProbability(2.75); // P(T &gt;= 2.75)</pre></div>
+double lowerTail = t.cumulativeProbability(-2.656);     // P(T(29) &lt;= -2.656)
+double upperTail = 1.0 - t.cumulativeProbability(2.75); // P(T(29) &gt;= 2.75)</pre></div>
         
 <p>
-          The inverse PDF and CDF values are just as easily computed using the
-          <tt>inverseCumulativeProbability</tt> methods.  For a distribution <tt>X</tt>,
-          and a probability, <tt>p</tt>, <tt>inverseCumulativeProbability</tt>
-          computes the domain value <tt>x</tt>, such that:
-          </p>
+          Inverse distribution functions can be computed using the
+          <tt>inverseCumulativeProbability</tt> methods.  For continuous <tt>f</tt>
+          and <tt>p</tt> a probability, <tt>f.inverseCumulativeProbability(p)</tt> returns
+          <tt></p>
 <ul>
             
-<li><tt>P(X &lt;= x) = p</tt>, for continuous distributions</li>
+<li>inf{x in R | P(X&#x2264;x) &#x2265; p} for 0 &lt; p &lt; 1},</li>
             
-<li><tt>P(X &lt;= x) &lt;= p</tt>, for discrete distributions</li>
-          </ul>
-          Notice the different cases for continuous and discrete distributions.  This is the result
-          of PDFs not being invertible functions.  As such, for discrete distributions, an exact
-          domain value can not be returned.  Only the &quot;best&quot; domain value.  For Commons-Math, the &quot;best&quot;
-          domain value is determined by the largest domain value whose cumulative probability is
-          less-than or equal to the given probability.
+<li>inf{x in R | P(X&#x2264;x) &gt; 0} for p = 0}.</li>
+          </ul></tt> where <tt>X</tt> is distributed as <tt>f</tt>.<br />
+          For discrete <tt>f</tt>, the definition is the same, with <tt>Z</tt> (the integers)
+          in place of <tt>R</tt>.  Note that in the discrete case, the &#x2265; in the definition
+          can make a difference when <tt>p</tt> is an attained value of the distribution.
         
       </div>
+      <!-- TODO: add section on multivariate distributions -->
       
 <div class="section">
 <h3>8.3 User Defined Distributions<a name="a8.3_User_Defined_Distributions"></a></h3>
         
 <p>
-        Since there are numerous distributions and Commons-Math only directly
-        supports a handful, it may be necessary to extend the distribution
-        framework to satisfy individual needs.  It is recommended that the
+        User-defined distributions can be implemented using
         <a href="../apidocs/org/apache/commons/math3/distribution/RealDistribution.html">RealDistribution</a>,
         <a href="../apidocs/org/apache/commons/math3/distribution/IntegerDistribution.html">IntegerDistribution</a> and
         <a href="../apidocs/org/apache/commons/math3/distribution/MultivariateRealDistribution.html">MultivariateRealDistribution</a>
-        interfaces serve as base types for any extension.  These serve as the basis for all the
-        distributions directly supported by Commons-Math and using those interfaces
-        for implementation purposes will ensure any extension is compatible with the
-        remainder of Commons-Math.  To aid in implementing a distribution extension,
+        interfaces serve as base types.  These serve as the basis for all the distributions directly supported by
+        Apache Commons Math.  To aid in implementing distributions,
         the <a href="../apidocs/org/apache/commons/math3/distribution/AbstractRealDistribution.html">AbstractRealDistribution</a>,
         <a href="../apidocs/org/apache/commons/math3/distribution/AbstractIntegerDistribution.html">AbstractIntegerDistribution</a> and 
         <a href="../apidocs/org/apache/commons/math3/distribution/AbstractMultivariateRealDistribution.html">AbstractMultivariateRealDistribution</a>
@@ -336,23 +402,19 @@ double upperTail = 1.0 - t.cumulativePro
     </div>
   
 
-      </div>
-    </div>
-    <div class="clear">
-      <hr/>
-    </div>
-    <div id="footer">
-      <div class="center">Copyright &#169;                    2003-2013
+					</td>
+				</tr>
+			</table>
+		</div>
+
+		<div class="footer">
+			<p>Copyright &copy;                    2003-2014
                         <a href="http://www.apache.org/">The Apache Software Foundation</a>.
-            All Rights Reserved.      
-                
-      </div>
-                          
-<div class="center">Apache Commons, Apache Apache Commons Math, Apache, the Apache feather logo, and the Apache Commons project logos are trademarks of The Apache Software Foundation.
+            All Rights Reserved.</p>
+                                                          				
+<div class="center">Apache Commons, Apache Commons Math, Apache, the Apache feather logo, and the Apache Commons project logos are trademarks of The Apache Software Foundation.
       All other marks mentioned may be trademarks or registered trademarks of their respective owners.</div>
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+                          		</div>
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