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The probability distribution of updated is proportional to the product of the measurement likelihood and the predicted state.
:<math> p(\textbf{x}_k|\textbf{Z}_{k}) = \frac{p(\textbf{
= \alpha\,p(\textbf{Z}_k|\textbf{x}_k) p(\textbf{x}_k|\textbf{Z}_{k-1})
</math>
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