Scilab-Branch-6.1-GIT
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atanh
双曲線逆正接
呼び出し手順
t = atanh(x)
引数
- x, t
実数または複素数のベクトル/行列
説明
ベクトルt
の要素は,ベクトルx
の対応する要素の双曲線逆正接となります.
実数関数の場合,定義域は,[-1,1]
です.
例
With input real numbers:
x = [-%inf -2 -1 -0.5 0 0.5 1 2 3 %inf]; [x ; atanh(tanh(x))] atanh(x')
--> [x ; atanh(tanh(x))] ans = -Inf -2. -1. -0.5 0. 0.5 1. 2. 3. Inf -Inf -2. -1. -0.5 0. 0.5 1. 2. 3. Inf --> atanh(x') ans = 0. + 1.5707963i -0.5493061 + 1.5707963i -Inf + 0.i -0.5493061 + 0.i 0. + 0.i 0.5493061 + 0.i Inf + 0.i 0.5493061 + 1.5707963i 0.3465736 + 1.5707963i 0. + 1.5707963i
With input complex numbers:
--> [x; tanh(atanh(x)) ; atanh(tanh(x))] ans = -1. - i 0. - i 0. + 0.i 0. + i 1. + i -1. - i 0. - i 0. + 0.i 0. + i 1. + i -1. - i 0. - i 0. + 0.i 0. + i 1. + i --> atanh(x.') ans = -0.4023595 - 1.017222i 0. - 0.7853982i 0. + 0.i 0. + 0.7853982i 0.4023595 + 1.017222i
参照
- tanh — 双曲線正接
履歴
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