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Scilab help >> Elementary Functions > Trigonometry > asec

asec

引数の要素毎の逆割線を計算する.

呼び出し手順

y = asec(x)

パラメータ

x

実数または複素数配列.

y

実数または複素数配列.

説明

引数の要素毎の逆割線を計算します. 絶対値が 1 より大きい 実数の引数の場合, 結果は実数になります.

以下の等式が満たされます: asec(z) = -acsc(-z) = asin(1/z) = %pi/2-asec(x) = %i*acsch(%i*z)

x=[1 2 -2 sqrt(2) -sqrt(2) 2/sqrt(3) -2/sqrt(3) -1];
asec(x)/%pi

参照

  • sec — 引数の割線を要素毎に計算する.
  • asecd — 引数の要素毎の逆割線を計算し,結果を度単位で返す.

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.

作者

  • Serge Steer, INRIA
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Last updated:
Thu Mar 03 11:00:51 CET 2011