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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="ja" xml:id="time_id">
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  <refnamediv>
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    <refname>time_id</refname>
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    <refpurpose> SISO 最小二乗同定</refpurpose>
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  </refnamediv>
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  <refsynopsisdiv>
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    <title>呼出し手順</title>
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    <synopsis>[H [,err]]=time_id(n,u,y)</synopsis>
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  </refsynopsisdiv>
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  <refsection>
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    <title>パラメータ</title>
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    <variablelist>
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      <varlistentry>
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        <term>n</term>
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        <listitem>
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          <para>伝達関数の次元</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>u</term>
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        <listitem>
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          <para>以下のどれか</para>
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          <variablelist>
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            <varlistentry>
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              <term>u1</term>
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              <listitem>
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                <para>システムへの入力ベクトル</para>
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              </listitem>
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            </varlistentry>
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            <varlistentry>
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              <term>"impuls"  </term>
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              <listitem>
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                <para>y はインパルス応答</para>
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              </listitem>
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            </varlistentry>
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            <varlistentry>
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              <term>"step"  </term>
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              <listitem>
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                <para>yはステップ応答.</para>
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              </listitem>
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            </varlistentry>
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          </variablelist>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>y</term>
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        <listitem>
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          <para>応答ベクトル.</para>
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        </listitem>
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      </varlistentry>
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      <varlistentry>
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        <term>H</term>
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        <listitem>
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          <para>
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            y(1)==0 の場合は分母がn次,分子がn-1次の有理関数,
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            y(1)&lt;&gt;0 の場合, 分母と分子が n次の有理関数.
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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>err</term>
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        <listitem>
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          <para>
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            <literal>||y - impuls(H,npt)||^2</literal>, ただし,
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            <literal>impuls(H,npt)</literal> は
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            <literal>H</literal>のインパルス応答の最初の
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            <literal>npt</literal>個の係数です.
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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>説明</title>
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    <para>
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      離散時間応答の同定.
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      <literal>y</literal>が厳密にプロパーの場合(<literal>y(1)=0</literal>) ,
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      <literal>time_id</literal>は線形方程式に関する以下の最小二乗解
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      を計算します: <literal>coeff(Den,n):=1</literal> を拘束条件とする
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      <literal>Den*y-Num*u=0</literal>.
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      <literal>y(1)~=0</literal>の場合,
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      アルゴリズムはまず解のプロパーな部分を計算した後,y(1)を
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      解に追加します.
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    </para>
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  </refsection>
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  <refsection>
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    <title>例</title>
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    <programlisting role="example"><![CDATA[ 
 
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    <refnamediv>
 
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        <refname>time_id</refname>
 
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        <refpurpose> SISO 最小二乗同定</refpurpose>
 
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    </refnamediv>
 
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    <refsynopsisdiv>
 
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        <title>呼出し手順</title>
 
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        <synopsis>[H [,err]]=time_id(n,u,y)</synopsis>
 
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    </refsynopsisdiv>
 
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    <refsection>
 
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        <title>パラメータ</title>
 
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        <variablelist>
 
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            <varlistentry>
 
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                <term>n</term>
 
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                <listitem>
 
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                    <para>伝達関数の次元</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>u</term>
 
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                <listitem>
 
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                    <para>以下のどれか</para>
 
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                    <variablelist>
 
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                        <varlistentry>
 
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                            <term>u1</term>
 
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                            <listitem>
 
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                                <para>システムへの入力ベクトル</para>
 
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                            </listitem>
 
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                        </varlistentry>
 
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                        <varlistentry>
 
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                            <term>"impuls"  </term>
 
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                            <listitem>
 
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                                <para>y はインパルス応答</para>
 
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                            </listitem>
 
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                        </varlistentry>
 
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                        <varlistentry>
 
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                            <term>"step"  </term>
 
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                            <listitem>
 
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                                <para>yはステップ応答.</para>
 
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                            </listitem>
 
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                        </varlistentry>
 
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                    </variablelist>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>y</term>
 
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                <listitem>
 
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                    <para>応答ベクトル.</para>
 
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                </listitem>
 
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            </varlistentry>
 
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            <varlistentry>
 
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                <term>H</term>
 
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                <listitem>
 
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                    <para>
 
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                        y(1)==0 の場合は分母がn次,分子がn-1次の有理関数,
 
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                        y(1)&lt;&gt;0 の場合, 分母と分子が n次の有理関数.
 
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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>err</term>
 
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                <listitem>
 
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                    <para>
 
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                        <literal>||y - impuls(H,npt)||^2</literal>, ただし,
 
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                        <literal>impuls(H,npt)</literal> は
 
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                        <literal>H</literal>のインパルス応答の最初の
 
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                        <literal>npt</literal>個の係数です.
 
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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>説明</title>
 
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        <para>
 
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            離散時間応答の同定.
 
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            <literal>y</literal>が厳密にプロパーの場合(<literal>y(1)=0</literal>) ,
 
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            <literal>time_id</literal>は線形方程式に関する以下の最小二乗解
 
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            を計算します: <literal>coeff(Den,n):=1</literal> を拘束条件とする
 
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            <literal>Den*y-Num*u=0</literal>.
 
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            <literal>y(1)~=0</literal>の場合,
 
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            アルゴリズムはまず解のプロパーな部分を計算した後,y(1)を
 
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            解に追加します.
 
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        </para>
 
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    </refsection>
 
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    <refsection>
 
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        <title>例</title>
 
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        <programlisting role="example"><![CDATA[ 
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z=poly(0,'z');
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h=(1-2*z)/(z^2-0.5*z+5)
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rep=[0;ldiv(h('num'),h('den'),20)]; //インパルス応答
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H=time_id(2,'step',rep)
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H=time_id(3,u,rep)    // uを入力として指定, 高次過ぎる系を指定
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 ]]></programlisting>
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  </refsection>
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  <refsection role="see also">
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    <title>参照</title>
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    <simplelist type="inline">
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      <member>
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        <link linkend="imrep2ss">imrep2ss</link>
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      </member>
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      <member>
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        <link linkend="arl2">arl2</link>
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      </member>
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      <member>
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        <link linkend="armax">armax</link>
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      </member>
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      <member>
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        <link linkend="frep2tf">frep2tf</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>参照</title>
 
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        <simplelist type="inline">
 
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            <member>
 
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                <link linkend="imrep2ss">imrep2ss</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="arl2">arl2</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="armax">armax</link>
 
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            </member>
 
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            <member>
 
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                <link linkend="frep2tf">frep2tf</link>
 
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            </member>
 
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        </simplelist>
 
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    </refsection>
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</refentry>