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\left( P(0) \land \forall k \in N \left[ P(k) \Rightarrow P(s(k)) \right] \right) \Rightarrow \forall n \in N \left[ P(n) \right]
alpha_{[a]}=0.838-0.246timesfrac{pi_{[a]}+pi_{[b]}+pi_{[c]}}{pi_{[a]}}+frac{0.246+frac{0.05}{3}}{pi_{[a]}}
alpha_{[a-b-*]}=0.838-0.246timesfrac{pi_{[a-b-*]}+pi_{[b-c-*]}+pi_{[a-c-*]}}{pi_{[a-b-*]}}+frac{0.246}{pi_{[a-b-*]}}
alpha_{[c]}=0.838-0.246timesfrac{pi_{[a]}+pi_{[b]}+pi_{[c]}}{pi_{[c]}}+frac{0.246+frac{0.05}{3}}{pi_{[c]}}
alpha_a=frac{1}{pi_a}times 0.788+0.1