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Santander said that he gave personal details to the fraudsters, "thus validating and authorising the transfer of funds".
He used Kerry's misdelivered joke to attack all Democrats for wanting to leave Iraq "before the job is done" and thus validating the "al Qaeda strategy".
A way around this would be an amendment that defines federal law as controlling the gender of marriage partners, thus validating the Defense of Marriage Act.
(Two out of three pollsters I called went mum or hung up on me, thus validating this reported figure in my mind, which never leaves margin for error).
The model reproduces experimental data successfully, thus validating the method with good statistics.
The numerical results compare well with experimental evidence from the literature thus validating the modelling methodology.
For all parameters, our reference value depicted significantly fewer activations, thus validating our experimental concept.
Some industrial information is compared to numerical predictions, thus validating the model.
The results are in good general agreement with the experimental findings, thus validating the approach.
We succeed in reproducing Castillo et al.'s [18] experiments thus validating our installation.
The results obtained via different methods agree satisfactorily, thus validating antenna model of the grounding electrode.
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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