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VBS教程:函数-派生数学函数

派生数学函数

下列是由固有数学函数派生的非固有数学函数:

函数派生的等效公式Secant(正割)Sec(X) = 1 / Cos(X)Cosecant(余割)Cosec(X) = 1 / Sin(X)Cotangent(余切)Cotan(X) = 1 / Tan(X)Inverse Sine(反正弦)Arcsin(X) = Atn(X / Sqr(-X * X + 1))Inverse Cosine(反余弦)Arccos(X) = Atn(-X / Sqr(-X * X + 1)) + 2 * Atn(1)Inverse Secant(反正割)Arcsec(X) = Atn(X / Sqr(X * X - 1)) + Sgn((X) -1) * (2 * Atn(1))Inverse Cosecant(反余割)Arccosec(X) = Atn(X / Sqr(X * X - 1)) + (Sgn(X) - 1) * (2 * Atn(1))Inverse Cotangent(反余切)Arccotan(X) = Atn(X) + 2 * Atn(1)Hyperbolic Sine(双曲正弦)HSin(X) = (Exp(X) - Exp(-X)) / 2 Hyperbolic Cosine(双曲余弦)HCos(X) = (Exp(X) + Exp(-X)) / 2Hyperbolic Tangent(双曲正切)HTan(X) = (Exp(X) - Exp(-X)) / (Exp(X) + Exp(-X))Hyperbolic Secant(双曲正割)HSec(X) = 2 / (Exp(X) + Exp(-X))Hyperbolic Cosecant(双曲余割)HCosec(X) = 2 / (Exp(X) - Exp(-X))Hyperbolic Cotangent(双曲余切)HCotan(X) = (Exp(X) + Exp(-X)) / (Exp(X) - Exp(-X))Inverse Hyperbolic Sine(反双曲正弦)HArcsin(X) = Log(X + Sqr(X * X + 1))Inverse Hyperbolic Cosine(反双曲余弦)HArccos(X) = Log(X + Sqr(X * X - 1))Inverse Hyperbolic Tangent(反双曲正切)HArctan(X) = Log((1 + X) / (1 - X)) / 2Inverse Hyperbolic Secant(反双曲正割)HArcsec(X) = Log((Sqr(-X * X + 1) + 1) / X)Inverse Hyperbolic Cosecant(反双曲余割)HArccosec(X) = Log((Sgn(X) * Sqr(X * X + 1) +1) / X)Inverse Hyperbolic Cotangent(反双曲余切)HArccotan(X) = Log((X + 1) / (X - 1)) / 2以 N 为底的对数LogN(X) = Log(X) / Log(N)