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Discover LudwigThe phrase 'are valid with' is correct and usable in written English.
You can use it when you want to indicate that something is compatible with or can be used with something else. For example: These vouchers are valid with any purchase.
Exact(24)
Thus, we are less confident that our results are valid with respect to female offending.
Remark 4 If f is convex and strictly negative on [ m x, M x ], then (36) and (37) are valid with min instead of max.
To summarize, the lab results show that most trackers are valid with the Lumoback, Jawbone Up, Misfit Shine, Withings Pulse, and Fitbit Zip demonstrating the highest validity.
The obtained results are valid with significant accuracy.
If the marriages are valid with her deputies' signature, then that will probably defuse the situation.
Finally, the asymptotic outage probability and corresponding throughput are valid with Monte Carlo simulation results.
Similar(36)
The reliability of the methodology is measured through the cross validation procedure and it is observed that the procedure is valid with less than 5% error.
This result is valid with all HAPPI models.
[validity] - expresses whether the item is valid with values 'valid', 'invalid', or 'notKnown'notKnown
The proof is verified to be valid (with respect to the given logic) and to prove the required verification condition.
Several bureau analysts had previously said comparisons on same-sex couple homes were valid, with the caveat that 1990 figures were from a survey of households.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com