1
1
<?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:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="acsc" xml:lang="ja">
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<refname>acsc</refname>
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<refpurpose>引数の逆余割を要素毎に計算する.</refpurpose>
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<synopsis>y = acsc(x)</synopsis>
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<para>実数または複素数の配列.</para>
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<para>実数または複素数の配列.</para>
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絶対値が1より大きい実数引数の場合,結果は実数となる.
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以下の等式が成り立つ: <literal>acsc(z) = -acsc(-z) =
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asin(1/z) = %pi/2-asec(z) = %i*acsch(%i*z)
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<programlisting role="example"><![CDATA[
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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:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" version="5.0-subset Scilab" xml:id="acsc" xml:lang="ja">
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<refname>acsc</refname>
5
<refpurpose>引数の逆余割を要素毎に計算する.</refpurpose>
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<synopsis>y = acsc(x)</synopsis>
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<para>実数または複素数の配列.</para>
23
<para>実数または複素数の配列.</para>
32
絶対値が1より大きい実数引数の場合,結果は実数となります.
35
以下の等式が成り立ちます: <literal>acsc(z) = -acsc(-z) =
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asin(1/z) = %pi/2-asec(z) = %i*acsch(%i*z)
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x=[-x($:-1:1) %nan x];
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<programlisting role="example"><![CDATA[
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x=linspace(1,20,200);
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x=[-x($:-1:1) %nan x];
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]]></programlisting>
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<refsection role="see also">
50
<simplelist type="inline">
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<link linkend="csc">csc</link>
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<link linkend="acscd">acscd</link>
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<link linkend="acsch">acsch</link>
64
<simplelist type="vert">
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<member>Kahan, W., "Branch cuts for complex elementary functions, or,
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Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM
67
conference on The State of the Art in Numerical Analysis, University of
68
Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford,
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<refsection role="see also">
58
<simplelist type="inline">
60
<link linkend="csc">csc</link>
63
<link linkend="acscd">acscd</link>
66
<link linkend="acsch">acsch</link>
72
<simplelist type="vert">
73
<member>Kahan, W., "Branch cuts for complex elementary functions, or,
74
Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM
75
conference on The State of the Art in Numerical Analysis, University of
76
Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford,