begin{equation}
        M=sqrt{frac{2}{gamma-1}
        {Bigg[Bigg(frac{p_0}{p}Bigg)^{frac{gamma-1}{gamma}}-1Bigg]}}
    end{equation}

    begin{equation}
        frac{dot{m}}{A}=
        frac{p_0}{sqrt{T_0}}
        sqrt{frac{gamma}{R}}M
        Bigg(1+frac{gamma-1}{2}M^2Bigg)^{-frac{gamma+1}{2(gamma-1)}}
    end{equation}

    begin{equation}
        frac{dot{m}}{A}=
        frac{p_0}{sqrt{T_0}}
        sqrt{frac{gamma}{R}}sqrt{frac{2}{gamma-1}{Bigg[Bigg(frac{p_0}{p}Bigg)^{frac{gamma-1}{gamma}}-1Bigg]}}
        Bigg(1+frac{gamma-1}{2}Bigg(frac{2}{gamma-1}{Bigg[Bigg(frac{p_0}{p}Bigg)^{frac{gamma-1}{gamma}}-1Bigg]}Bigg)^2Bigg)^{-frac{gamma+1}{2(gamma-1)}}
    end{equation}