<?xml version="1.0" encoding="UTF-8"?>
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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" xmlns:scilab="http://www.scilab.org" xml:lang="ja" xml:id="hat">
    <refnamediv>
        <refname>hat</refname>
        <refpurpose>(^) 累乗</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>呼出し手順</title>
        <synopsis>A^b</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>説明</title>
        <para>
            定数ベクトルによる行列またはベクトルの累乗.
        </para>
        <para>
            <literal>A</literal> がベクトルの場合,累乗は要素毎に行われます.
        </para>
        <para>
            <literal>A</literal> が正方行列の場合, 累乗は行列に関して行われます.
        </para>
        <para>
            論理値,多項式および有理行列の場合, 指数は整数である必要があります.
        </para>
        <refsection>
            <title>注意</title>
            <para>
                <literal>123.^b</literal> は <literal>(123).^b</literal>と解釈されます.
                この場合,ドット(.)は数値ではなく演算子の一部となります.
            </para>
            <para>
                実数または複素数の <literal>x1</literal> と <literal>x2</literal>に関して,
                <literal>x1^x2</literal> の値は,
                <literal>x1^x2 = exp(x2*log(x1))</literal> により定義される
                "主値"となります.
            </para>
        </refsection>
    </refsection>
    <refsection>
        <title>例</title>
        <programlisting role="example"><![CDATA[
2^4
(-0.5)^(1/3)
[1 2;2 4]^(1+%i)
s=poly(0,"s");
[1 2 s]^4
[s 1;1  s]^(-1)
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>参照</title>
        <simplelist type="inline">
            <member>
                <link linkend="power">power</link>
            </member>
            <member>
                <link linkend="exp">exp</link>
            </member>
            <member>
                <link linkend="log">log</link>
            </member>
            <member>
                <link linkend="log2">log2</link>
            </member>
            <member>
                <link linkend="inv">inv</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
