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\section{Abstract}  Introduce a fold function and investigate it's properties. For a given finite barrier or well starting at x_1 and ending at x_2, that it, tending to zero.  \section{Introduction}  Define a fold function $f_*(x)$ as a transform from a defined function $f(x)$ as \begin{equation}  f_*(x)=\frac{ \int_{x}^{\infty} \int_{x}^{x_2}  f(s) \;ds}{ \int_{-\infty}^{x} \int_{x_1}^{x}  f(s) \;ds} \end{equation} 
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Moved on to study the transform \begin{equation}  F_0(x)=2f_{max}\bigg[ \frac{ \int_{x}^{\infty} \int_{x}^{x_2}  f(s) \;ds}{ \int_{-\infty}^{x} \int_{x_1}^{x}  f(s) \;ds} + \frac{ \int_{-\infty}^{x} \int_{x_1}^{x}  f(s) \;ds}{ \int_{x}^{\infty} \int_{x}^{x_2}  f(s) \;ds}\bigg]^{-1} \\ F_0(x)=\frac{2f_{max}}{f_*(x)+f_*^{-1}(x)}