1291500406 发表于 2019-12-5 00:09:21

固有数学函数派生的非固有数学函数

本帖最后由 1291500406 于 2019-12-5 00:10 编辑

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)) / 2
Hyperbolic 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)) / 2
Inverse 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)

taoyi0727 发表于 2019-12-5 09:21:26

是个啥,对于1个初中三年都是混过的人来说,1个都没有看懂,干啥用的

1291500406 发表于 2019-12-5 09:40:14

不知道,应该是算法吧

渠辉 发表于 2021-7-7 13:16:08

小学刚毕业:$
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