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   <div class="navpath"><b>boost</b>::<b>numeric</b>::<b>ublas</b>::<a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a>
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 <h1>boost::numeric::ublas::unit_vector&lt; T, ALLOC &gt; Class Template Reference</h1><!-- doxytag: class="boost::numeric::ublas::unit_vector" --><!-- doxytag: inherits="vector_container&lt; unit_vector&lt; T, ALLOC &gt; &gt;" -->
 <p><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html" title="unit_vector represents a canonical unit vector unit_vector represents a canonical...">unit_vector</a> represents a canonical unit <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a> <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html" title="unit_vector represents a canonical unit vector unit_vector represents a canonical...">unit_vector</a> represents a canonical unit <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a>. The <em>k-th</em> unit <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a> of dimension <img class="formulaInl" alt="$n$" src="form_66.png"/> holds 0 for every value <img class="formulaInl" alt="$u_i$" src="form_70.png"/> s.t. <img class="formulaInl" alt="$i \neq k$" src="form_71.png"/> and 1 when <img class="formulaInl" alt="$i=k$" src="form_72.png"/>. At construction, the value <em>k</em> is given after the dimension of the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a>.
 <a href="#_details">More...</a></p>

 <p>Inherits <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector__container.html">vector_container&lt; unit_vector&lt; T, ALLOC &gt; &gt;</a>.</p>

 <p><a href="classboost_1_1numeric_1_1ublas_1_1unit__vector-members.html">List of all members.</a></p>
 <table border="0" cellpadding="0" cellspacing="0">
 <tr><td colspan="2"><h2>Classes</h2></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">class &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector_1_1const__iterator.html">const_iterator</a></td></tr>
 <tr><td colspan="2"><h2>Public Types</h2></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a166b9f6c95cac0532a13400d7d82f54f"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::size_type" ref="a166b9f6c95cac0532a13400d7d82f54f" args="" -->
 typedef ALLOC::size_type&nbsp;</td><td class="memItemRight" valign="bottom"><b>size_type</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a721734426392eb902340b0d26436ac52"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::difference_type" ref="a721734426392eb902340b0d26436ac52" args="" -->
 typedef ALLOC::difference_type&nbsp;</td><td class="memItemRight" valign="bottom"><b>difference_type</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a72e29cd368ce1cdffd8b7880a27ccb4b"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::value_type" ref="a72e29cd368ce1cdffd8b7880a27ccb4b" args="" -->
 typedef T&nbsp;</td><td class="memItemRight" valign="bottom"><b>value_type</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9970a2c2c6c2dbaaf7340166300c1c45"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::const_reference" ref="a9970a2c2c6c2dbaaf7340166300c1c45" args="" -->
 typedef const T &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>const_reference</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0b6bef4517e109d605f4e6d6ce1e4e68"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::reference" ref="a0b6bef4517e109d605f4e6d6ce1e4e68" args="" -->
 typedef T &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>reference</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab147979d70207a25cb023771375ee3d1"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::const_closure_type" ref="ab147979d70207a25cb023771375ee3d1" args="" -->
 typedef const <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector__reference.html">vector_reference</a><br class="typebreak"/>
 &lt; const <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">self_type</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><b>const_closure_type</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3279f0fd86c21cd508523fa614034614"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::closure_type" ref="a3279f0fd86c21cd508523fa614034614" args="" -->
 typedef <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector__reference.html">vector_reference</a><br class="typebreak"/>
 &lt; <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">self_type</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><b>closure_type</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3b4db29ee6d9e52bcf9480c0842bb983"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::storage_category" ref="a3b4db29ee6d9e52bcf9480c0842bb983" args="" -->
 typedef <a class="el" href="structboost_1_1numeric_1_1ublas_1_1sparse__tag.html">sparse_tag</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>storage_category</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9f0021c8c79d9a835353ed75bf002f69"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::iterator" ref="a9f0021c8c79d9a835353ed75bf002f69" args="" -->
 typedef <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector_1_1const__iterator.html">const_iterator</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>iterator</b></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a442f5841bac20b9318f32d3f74319921"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::const_reverse_iterator" ref="a442f5841bac20b9318f32d3f74319921" args="" -->
 typedef reverse_iterator_base<br class="typebreak"/>
 &lt; <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector_1_1const__iterator.html">const_iterator</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><b>const_reverse_iterator</b></td></tr>
 <tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a2c9563ed01b1c1ed02f6889e666ea57b"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::unit_vector" ref="a2c9563ed01b1c1ed02f6889e666ea57b" args="()" -->
 BOOST_UBLAS_INLINE&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#a2c9563ed01b1c1ed02f6889e666ea57b">unit_vector</a> ()</td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Simple constructor with dimension and index 0. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">BOOST_UBLAS_INLINE&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#a902e22f9b4ee33ade864ec4166c7933c">unit_vector</a> (size_type size, size_type index=0)</td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor of <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html" title="unit_vector represents a canonical unit vector unit_vector represents a canonical...">unit_vector</a>.  <a href="#a902e22f9b4ee33ade864ec4166c7933c"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a7474b9a13870610d40f7a4e2b584decd"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::unit_vector" ref="a7474b9a13870610d40f7a4e2b584decd" args="(const unit_vector &amp;v)" -->
 BOOST_UBLAS_INLINE&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#a7474b9a13870610d40f7a4e2b584decd">unit_vector</a> (const <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;v)</td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Copy-constructor. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae3cab9225c79b18e895d4f1d0f045b80"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::size" ref="ae3cab9225c79b18e895d4f1d0f045b80" args="() const " -->
 BOOST_UBLAS_INLINE size_type&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#ae3cab9225c79b18e895d4f1d0f045b80">size</a> () const </td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return the size (dimension) of the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a>. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acaa259e1495730cd27c61241f4068f28"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::index" ref="acaa259e1495730cd27c61241f4068f28" args="() const " -->
 BOOST_UBLAS_INLINE size_type&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#acaa259e1495730cd27c61241f4068f28">index</a> () const </td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return the order of the unit <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a>. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">BOOST_UBLAS_INLINE void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#a7d5c93416d68c17a93bc3dec0a8ad914">resize</a> (size_type size, bool=true)</td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Resize the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a>. The values are preserved by default (i.e. the index does not change).  <a href="#a7d5c93416d68c17a93bc3dec0a8ad914"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3a332a696c21d95de23451238db15248"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::find_element" ref="a3a332a696c21d95de23451238db15248" args="(size_type i) const " -->
 BOOST_UBLAS_INLINE const_pointer&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html#a3a332a696c21d95de23451238db15248">find_element</a> (size_type i) const </td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Return a const pointer to the element of index i. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af54b6cd388c53674328dc399a71cd552"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::operator()" ref="af54b6cd388c53674328dc399a71cd552" args="(size_type i) const " -->
 BOOST_UBLAS_INLINE const_reference&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator()</b> (size_type i) const </td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a23805c3a5fea6a3788dc0cb63b6e7a74"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::operator[]" ref="a23805c3a5fea6a3788dc0cb63b6e7a74" args="(size_type i) const " -->
 BOOST_UBLAS_INLINE const_reference&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator[]</b> (size_type i) const </td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa50aceaf91a9e6953760cf0aa9876d8e"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::operator=" ref="aa50aceaf91a9e6953760cf0aa9876d8e" args="(const unit_vector &amp;v)" -->
 BOOST_UBLAS_INLINE <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator=</b> (const <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;v)</td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a357159e6773ab40d99a281b7d9e1a9b9"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::assign_temporary" ref="a357159e6773ab40d99a281b7d9e1a9b9" args="(unit_vector &amp;v)" -->
 BOOST_UBLAS_INLINE <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>assign_temporary</b> (<a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;v)</td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab4f349715ff0bc9ded47b1a22fc9d68f"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::swap" ref="ab4f349715ff0bc9ded47b1a22fc9d68f" args="(unit_vector &amp;v)" -->
 BOOST_UBLAS_INLINE void&nbsp;</td><td class="memItemRight" valign="bottom"><b>swap</b> (<a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;v)</td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af9596d73f68dd4af81194acb858e3389"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::find" ref="af9596d73f68dd4af81194acb858e3389" args="(size_type i) const " -->
 BOOST_UBLAS_INLINE <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector_1_1const__iterator.html">const_iterator</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>find</b> (size_type i) const </td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aa8b3cc803adb5b9e853cbe512e98fd0e"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::begin" ref="aa8b3cc803adb5b9e853cbe512e98fd0e" args="() const " -->
 BOOST_UBLAS_INLINE <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector_1_1const__iterator.html">const_iterator</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>begin</b> () const </td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0e9e12707c55f23863f103ed867000bd"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::end" ref="a0e9e12707c55f23863f103ed867000bd" args="() const " -->
 BOOST_UBLAS_INLINE <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector_1_1const__iterator.html">const_iterator</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>end</b> () const </td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a826047d26d9210a4a1ffa6610c3652f1"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::rbegin" ref="a826047d26d9210a4a1ffa6610c3652f1" args="() const " -->
 BOOST_UBLAS_INLINE <br class="typebreak"/>
 const_reverse_iterator&nbsp;</td><td class="memItemRight" valign="bottom"><b>rbegin</b> () const </td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acca53554d7278e9270792246e318762c"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::rend" ref="acca53554d7278e9270792246e318762c" args="() const " -->
 BOOST_UBLAS_INLINE <br class="typebreak"/>
 const_reverse_iterator&nbsp;</td><td class="memItemRight" valign="bottom"><b>rend</b> () const </td></tr>
 <tr><td class="memTemplParams" colspan="2"><a class="anchor" id="a1a0fd0bc71b0a51a3ff722b1be318b58"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::serialize" ref="a1a0fd0bc71b0a51a3ff722b1be318b58" args="(Archive &amp;ar, const unsigned int)" -->
 template&lt;class Archive &gt; </td></tr>
 <tr><td class="memTemplItemLeft" align="right" valign="top">void&nbsp;</td><td class="memTemplItemRight" valign="bottom"><b>serialize</b> (Archive &amp;ar, const unsigned int)</td></tr>
 <tr><td colspan="2"><h2>Friends</h2></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a6d499390b71672a1ce03f86c523ffa0b"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::swap" ref="a6d499390b71672a1ce03f86c523ffa0b" args="(unit_vector &amp;v1, unit_vector &amp;v2)" -->
 BOOST_UBLAS_INLINE friend void&nbsp;</td><td class="memItemRight" valign="bottom"><b>swap</b> (<a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;v1, <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> &amp;v2)</td></tr>
 </table>
 <hr/><a name="_details"></a><h2>Detailed Description</h2>
 <h3>template&lt;class T, class ALLOC&gt;<br/>
  class boost::numeric::ublas::unit_vector&lt; T, ALLOC &gt;</h3>

 <dl><dt><b>Template Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
     <tr><td valign="top"></td><td valign="top"><em>T</em>&nbsp;</td><td>is the type of elements in the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a>. They must be 0 and 1 assignable in order for the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a> to have its unit-vector semantic. </td></tr>
     <tr><td valign="top"></td><td valign="top"><em>ALLOC</em>&nbsp;</td><td>a specific allocator can be specified if needed. Most of the time this parameter is omited. </td></tr>
   </table>
   </dd>
 </dl>
 <hr/><h2>Constructor &amp; Destructor Documentation</h2>
 <a class="anchor" id="a902e22f9b4ee33ade864ec4166c7933c"></a><!-- doxytag: member="boost::numeric::ublas::unit_vector::unit_vector" ref="a902e22f9b4ee33ade864ec4166c7933c" args="(size_type size, size_type index=0)" -->
 <div class="memitem">
 <div class="memproto">
 <div class="memtemplate">
 template&lt;class T, class ALLOC&gt; </div>
       <table class="memname">
         <tr>
           <td class="memname">BOOST_UBLAS_INLINE <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">boost::numeric::ublas::unit_vector</a>&lt; T, ALLOC &gt;::<a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">unit_vector</a> </td>
           <td>(</td>
           <td class="paramtype">size_type&nbsp;</td>
           <td class="paramname"> <em>size</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">size_type&nbsp;</td>
           <td class="paramname"> <em>index</em> = <code>0</code></td><td>&nbsp;</td>
         </tr>
         <tr>
           <td></td>
           <td>)</td>
           <td></td><td></td><td><code> [explicit]</code></td>
         </tr>
       </table>
 </div>
 <div class="memdoc">
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
     <tr><td valign="top"></td><td valign="top"><em>size</em>&nbsp;</td><td>is the dimension of the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a> </td></tr>
     <tr><td valign="top"></td><td valign="top"><em>index</em>&nbsp;</td><td>is the order of the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a> </td></tr>
   </table>
   </dd>
 </dl>

 </div>
 </div>
 <hr/><h2>Member Function Documentation</h2>
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 template&lt;class T, class ALLOC&gt; </div>
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           <td class="memname">BOOST_UBLAS_INLINE void <a class="el" href="classboost_1_1numeric_1_1ublas_1_1unit__vector.html">boost::numeric::ublas::unit_vector</a>&lt; T, ALLOC &gt;::resize </td>
           <td>(</td>
           <td class="paramtype">size_type&nbsp;</td>
           <td class="paramname"> <em>size</em>, </td>
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           <td class="paramtype">bool&nbsp;</td>
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           <td>)</td>
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 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
     <tr><td valign="top"></td><td valign="top"><em>size</em>&nbsp;</td><td>is the new size of the <a class="el" href="classboost_1_1numeric_1_1ublas_1_1vector.html" title="A dense vector of values of type T.">vector</a> </td></tr>
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