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  • Committer: Package Import Robot
  • Author(s): Sylvestre Ledru
  • Date: 2012-08-30 14:42:38 UTC
  • mfrom: (1.4.7)
  • Revision ID: package-import@ubuntu.com-20120830144238-c1y2og7dbm7m9nig
Tags: 5.4.0-beta-3-1~exp1
* New upstream release
* Update the scirenderer dep
* Get ride of libjhdf5-java dependency

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<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="sensi">
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  <refnamediv>
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    <refname>sensi</refname>
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    <refpurpose> sensitivity functions</refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title>Calling Sequence</title>
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    <synopsis>[Se,Re,Te]=sensi(G,K)
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      [Si,Ri,Ti]=sensi(G,K,flag)
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    </synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title>Arguments</title>
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    <variablelist>
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      <varlistentry>
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        <term>G</term>
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        <listitem>
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          <para>
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            standard plant (<literal>syslin</literal> list)
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>K</term>
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        <listitem>
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          <para>
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            compensator (<literal>syslin</literal> list)
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>flag</term>
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        <listitem>
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          <para>
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            character string <literal>'o'</literal> (default value) or <literal>'i'</literal>
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>Se</term>
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        <listitem>
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          <para>
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            output sensitivity function <literal>(I+G*K)^-1</literal>
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>Re</term>
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        <listitem>
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          <para>
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            <literal>K*Se</literal>
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          </para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>Te</term>
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        <listitem>
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          <para>
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            <literal>G*K*Se</literal> (output complementary sensitivity function)
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          </para>
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        </listitem>
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      </varlistentry>
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    </variablelist>
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  </refsection>
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  <refsection>
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    <title>Description</title>
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    <para>
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      <literal>sensi</literal> computes sensitivity functions. If <literal>G</literal> and <literal>K</literal> are
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      given in state-space form, the systems returned are generically minimal. 
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      Calculation is made by <literal>lft</literal>, e.g., 
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      <literal>Se</literal> can be given by the commands 
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      <literal> P = augment(G,'S')</literal>, <literal>Se=lft(P,K)</literal>.
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      If <literal>flag</literal> = <literal>'i'</literal>, <literal>[Si,Ri,Ti]=sensi(G,K,'i')</literal>
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      returns the input sensitivity functions.
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    </para>
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    <programlisting role=""><![CDATA[ 
 
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    <refnamediv>
 
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        <refname>sensi</refname>
 
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        <refpurpose> sensitivity functions</refpurpose>
 
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    </refnamediv>
 
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    <refsynopsisdiv>
 
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        <title>Calling Sequence</title>
 
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        <synopsis>[Se,Re,Te]=sensi(G,K)
 
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            [Si,Ri,Ti]=sensi(G,K,flag)
 
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        </synopsis>
 
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    </refsynopsisdiv>
 
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    <refsection>
 
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        <title>Arguments</title>
 
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        <variablelist>
 
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            <varlistentry>
 
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                <term>G</term>
 
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                <listitem>
 
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                    <para>
 
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                        standard plant (<literal>syslin</literal> list)
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>K</term>
 
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                <listitem>
 
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                    <para>
 
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                        compensator (<literal>syslin</literal> list)
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>flag</term>
 
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                <listitem>
 
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                    <para>
 
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                        character string <literal>'o'</literal> (default value) or <literal>'i'</literal>
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>Se</term>
 
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                <listitem>
 
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                    <para>
 
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                        output sensitivity function <literal>(I+G*K)^-1</literal>
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>Re</term>
 
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                <listitem>
 
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                    <para>
 
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                        <literal>K*Se</literal>
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>Te</term>
 
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                <listitem>
 
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                    <para>
 
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                        <literal>G*K*Se</literal> (output complementary sensitivity function)
 
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                    </para>
 
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                </listitem>
 
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            </varlistentry>
 
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        </variablelist>
 
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    </refsection>
 
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    <refsection>
 
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        <title>Description</title>
 
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        <para>
 
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            <literal>sensi</literal> computes sensitivity functions. If <literal>G</literal> and <literal>K</literal> are
 
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            given in state-space form, the systems returned are generically minimal. 
 
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            Calculation is made by <literal>lft</literal>, e.g., 
 
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            <literal>Se</literal> can be given by the commands 
 
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            <literal> P = augment(G,'S')</literal>, <literal>Se=lft(P,K)</literal>.
 
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            If <literal>flag</literal> = <literal>'i'</literal>, <literal>[Si,Ri,Ti]=sensi(G,K,'i')</literal>
 
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            returns the input sensitivity functions.
 
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        </para>
 
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        <programlisting role=""><![CDATA[ 
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[Se;Re;Te]= [inv(eye()+G*K);K*inv(eye()+G*K);G*K*inv(eye()+G*K)];
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[Si;Ri;Ti]= [inv(eye()+K*G);G*inv(eye()+K*G);K*G*inv(eye()+K*G)];
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 ]]></programlisting>
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  </refsection>
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  <refsection>
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    <title>Examples</title>
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    <programlisting role="example"><![CDATA[ 
 
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    </refsection>
 
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    <refsection>
 
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        <title>Examples</title>
 
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        <programlisting role="example"><![CDATA[ 
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G=ssrand(1,1,3);K=ssrand(1,1,3);
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[Se,Re,Te]=sensi(G,K);
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Se1=inv(eye()+G*K);  //Other way to compute
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w2=[ss2tf(inv(eye()+K*G));ss2tf(G*inv(eye()+K*G));ss2tf(K*G*inv(eye()+K*G))];
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clean(w1-w2)
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 ]]></programlisting>
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  </refsection>
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  <refsection role="see also">
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    <title>See Also</title>
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    <simplelist type="inline">
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      <member>
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        <link linkend="augment">augment</link>
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      </member>
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      <member>
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        <link linkend="lft">lft</link>
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      </member>
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      <member>
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        <link linkend="h_cl">h_cl</link>
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      </member>
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    </simplelist>
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  </refsection>
 
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    </refsection>
 
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    <refsection role="see also">
 
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        <title>See Also</title>
 
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        <simplelist type="inline">
 
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            <member>
 
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                <link linkend="augment">augment</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="lft">lft</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="h_cl">h_cl</link>
 
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            </member>
 
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        </simplelist>
 
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    </refsection>
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</refentry>