probml/pml2-book

v2024-06-26: Derivation issues with 4.40 at page 157

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Equation (4.40) seems to be proportional to (4.39), and not equal.
$$p(x_n|y_n,\theta_x) = \frac{p(x_n,y_n|\theta_x)}{p(y_n|\theta_x)}$$

Now given $x_n$ is observed $y_n \not \perp \theta_x | x_n$.

Therefore $p(x_n|y_n,\theta_x) \neq p(x_n,y_n|\theta_x)$

fixed, thx