Psi &= \frac1N\sum_r = 1^p_1n_r\left(V^(r) + \sum_k = 1^K \pi_k^(r)\left(m^(r) - s_\cdot k\right)\left(m^(r) - s_\cdot k\right)^T\right)
1 | update_Psi(v, m, S, pi)
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