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\pi = \frac{\beta}{\omega+\beta^2}\{ (k-1)y^*+\beta\pi^e\}
\purinev{4==NH$\mathrm{_2}$;6==H;2==H;1==H}
X_i \sim N(\mu, \sigma^2)  \quad i = 1, ..., n
(a_n)=(1,2,3,4,5,...)
\sum_{k=1}^n(ca_k+db_k)=c\sum_{k=1}^n a_k+d\sum_{k=1}^nb_k