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Logic specifies which conclusions are valid, that is, that must be true given that the premises are true.
Preferences as strict partial orders possess a Spartan formal basis being the key for a preference algebra, where many laws are valid that are valuable for preference query optimizers.
13 If confidence and competence are not clearly understood by participants in interventions, it cannot be assumed that self-reported outcomes from the learning are valid, that is, if the participants' interpretation of confidence differs from the researchers', how are 'gains' in confidence to be interpreted?
Thus, only calculations for other years are valid that take into account such changes.
In conclusion, the complaints from post-secondary educators are valid that many high school graduates have not been adequately prepared for post-secondary education.
A lot of people across the internet are hating this track, and while some of their points are valid (that fat joke was pretty lame), the track is really not that bad.
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"If you've got a broad patent and it's valid, that's a very strong patent".
Then it is easy to see that (6) is valid, that is, (E_{01}) is globally attractive.
More microscopic physics is necessary to explain why this constraint is valid, that is, it specifies the physical processes of smaller granularity are ignored.
This will provide a basis for exploring their properties to determine whether the measure under consideration is valid, that is, well defined.
Some people may contradict this reason; so long as you think your reason is valid, that's the most important thing.
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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