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$$y_i = r_i + \gamma\mathcal{C}(s_{i+1},a_{i+1}|\omega_c)$$
$$(y_i-\mathcal{C}(s_i,a_i|\omega_C))^2$$

$$y_i - (r_i + \gamma C_k(s_{i+1},a_{i+1}))$$

$$\gamma\mathcal{C}(s_{i+1},a_{i+1}|\omega_c) - \gamma C_k(s_{i+1},a_{i+1}))$$
$$\gamma( \mathcal{C}(s_{i+1},a_{i+1}|\omega_c) -  C(s_{i+1},a_{k, i+1}))$$

