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Scilabヘルプ >> Elementary Functions > Trigonometry > asech

asech

引数の要素毎の逆双曲線割線を計算する.

呼び出し手順

y = asech(x)

引数

x

実数または複素数の配列.

y

実数または複素数の配列.

説明

引数の要素毎の逆双曲線割線を計算します. 引数が実数で絶対値が1より小さい場合,結果は実数となります.

以下の等式が成り立ちます: asech(x) == acosh(1 ./ x) == %i*csgn(%i*(1?1 ./ x))*asec(x) == csgn(%i*(1 ? 1 ./ x))*(%pi/2*(%i+acsch(%i*x)))

asech(1)

参照

  • sech — 引数の双曲線割線を要素毎に計算する

参考文献

  • Kahan, W., "Branch cuts for complex elementary functions, or, Much ado about nothing's sign bit", Proceedings of the joing IMA/SIAM conference on The State of the Art in Numerical Analysis, University of Birmingham, A. Iserles and M.J.D. Powell, eds, Clarendon Press, Oxford, 1987, 165-210.
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