Hence $F$ is twice as long as $G$.
However, with the recent advent of simulation based inference, the need for analytically tractable posteriors is no longer critical.
It turns out that this is independent of the representations taken (as long as they are faithful). [= provided that they are faithful]
It has long been known that ......
The following simple example has long been a part of ergodic-theoretic folklore.
a long-standing conjecture
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