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In the above models, they are only defined for events that are assigned nonzero probabilities.
In fact, they are only defined when the exponent is a rational number with the denominator being an odd integer.
It should be noted that in the absence of a suitable control population, it is not possible to determine the exact copy number or transcription rates as they are only defined with respect to the other.
Bubbles have at least one melted basepair in between x and y, so they are only defined for (x, y) above the diagonal line y = x + 1. Accordingly, we require that frames are above the diagonal line, as defined in the following.
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It might occur that the duals, that are only defined through a refinement relation, do not exist in L2.
The solutions are represented as moving layer potentials where the unknowns are only defined on the interfaces.
As we have seen, classical probabilities are only defined on finite spaces.
In other words, resources are only defined during non-empty time intervals.
We are only defined by those things that we allow to define us.
Most Azhdarchidae species are only defined based on a few fragmented bones.
Although WALS includes over 2,000 languages, most languages are only defined on a small number of linguistic features.
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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