\[ R_{\mu \nu} - {1 \over 2} g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu} \]
\[ \text{4Fe} + \text{3O}_2 \rightarrow \text{2Fe}_2\text{O}_3 \] \[ \text{CH}_3\text{CH}_2\text{OH} \xrightarrow{\text{Oxidizing agent}} \text{CH}_3\text{CHO} \] \[ \text{Cu}^{2+} + 2\text{e}^- \rightarrow \text{Cu} \] \[ \text{CH}_2\text{=CH}_2 + \text{H}_2 \xrightarrow{\text{catalyst}} \text{CH}_3\text{CH}_3 \]
\[ R_{\mu \nu} - {1 \over 2} g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu} \]
\[ E_n = \left(n + \dfrac{1}{2}\right)h \nu \label{1} \]
\[ V(l) = D_e{\left(1-e^{-\beta(l-l_o)}\right)}^2 \label{2} \]
\[ E_o = \left(\dfrac{1}{2}\right)hv \label{4} \]
\[ \nu = \dfrac{1}{2 \pi} \sqrt{ \dfrac {k}{\mu} } \label{5} \]
\[ \mu = \dfrac{m_1m_2}{m_1+m_2} \label{6} \]
\[ k = Ae^{-\frac{E_a}{kT}} \label{7} \]
\[ k_H = A_He^{-\frac{E_a^H}{kT}} \label{8} \]
\[ k_D = A_De^{-\frac{E_a^D}{kT}} \label{9} \] \[ \dfrac{k_H}{k_D} = e^{-\frac{E_a^H - E_a^D}{kT}} \label{10} \] \[ E_o = \left(\dfrac{1}{2}\right)h\nu \label{11} \] \[ \dfrac{k_H}{k_D} = e^{\dfrac {h \left( \dfrac{k_{RH}}{\mu_{RH}} - \dfrac{k_{RD}}{\mu_{RD}} \right)}{4\pi kT}} \label{13} \]