第一篇有学术性错误。

具体地，

$G(x)=G_0(x)-\dfrac{\ln G_0(x)-A(x)}{\dfrac{G_0'(x)}{G_0(x)}}=\dfrac{G_0(x)(1-\ln G_0(x)+A(x))}{G_0'(x)}$

应改为

$G(x)=G_0(x)-\dfrac{\ln G_0(x)-A(x)}{\dfrac{1}{G_0(x)}}={G_0(x)(1-\ln G_0(x)+A(x))}$

严重的学术性错误，极强的误导性，建议撤下。