[Physicist]

The result is an expression that looks like Heisenberg's original relation, but gives the exact uncertainty in the measurements of position and momentum. Hall says it is an equation rather than an inequality, which is "a far stronger relation".

But it will still be an inequality. Nothing prevents you from having a more uncertain measurement than that allowed by the uncertainty relation, whatever that relation might be.

[Doctor Stochastic]

I just skimmed the paper but it looks like the measured uncertainty is greater than the "intrinsic" [my name, not theirs] uncertainty because of the Cramer-Rao inequalities. The paper's equality is between the dispersions of the conjugate variables.

[AndrewC]

Nothing prevents you from having a more uncertain measurement than that allowed by the uncertainty relation, whatever that relation might be.

Soitinly! (or a reasonable facsimile of that pronunciation).