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\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}

\thispagestyle{empty}
\begin{document}
\begin{gather}
  T(R)=T_0T_{\rm cool}(R)t(R)\\
  T_{\rm cool}(R)=\frac{(x+T_{\rm min}/T_0)}{x+1}\\
  t(R)=\frac{(\frac{R}{R_t})^{-1}}{[(\frac{R}{R_t})^b+1]^{c/b}}\\
  x=(\frac{R}{R_{\rm cool}})^{a_{\rm cool}}
\end{gather}
\end{document}