Sentence examples for proof applies to from inspiring English sources

An analogous proof applies to the Ma tests.

But while civil standards of proof apply to the issuing of ASBOs, criminal sanctions can be applied to those who break them.

Therefore, the arguments in that proof apply to our case, where we can regard some of the duplicates from x and some from the inverse of x.

2. We notice that the same argument of the proofs applies to an equation of the form  . We notice that the same argument of the proofs applies to an equation of the form.

The proof also applies to multiple smart meters and multiple aggregators.

Although their paper discussed a more elaborate setting involving a phenotype, their proof, however, applies to this setting.

Efficiency  (4.6) is established in  [9,83,84], while the discrete reliability (A4) is shown in  [20, Sect. 4] for d = 2, but the proof essentially applies to any dimension.

The change to the law in June has thrown Florida's legal system in chaos — judges across the state are conflicted about whether the new burden of proof applies retroactively to cases filed before the revision passed.

The original paper of Elbert [1], where the existence and uniqueness results are proved via the half-linear version of the Prüfer transformation, deals with continuous functions in (2), but the idea of the proof applies without change to integrable coefficients when, as a solution x, u, absolutely continuous functions are considered (which satisfy (2) a.e. in ( a, b ) ).

Finally, we point out that, since (12) is identical to (3), the uniqueness proof in Section 3.1 applies to the NLOS case as well.

Conditioned on the arrival time, the waiting time follows the same geometric distribution as the busy time, and the SLLN proof of Theorem 4.1 applies to user delay directly.