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averages in analytic spaces in polydisk can obviously have a mixed form, for example, In [8] Ren and Shi described the diagonal of mixed norm spaces, but the above mentioned mixed case was omitted there.
One case was omitted from the calculations as the descent of dam of an affected calf was unknown.
As a consequence, histologic tumour response data were missing and the single case was omitted from analysis.
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For languages that do not allow vacuous quantification, clause (ii) can in each case be omitted.
It suffices to show that for all Since is additive, we get and so the case is omitted.
Please note that one of these cases was omitted from our final study due to insufficient tissue.
Detailed transition probabilities of both cases are omitted here due to the space limitation.
The proofs of the other cases are omitted because they follow along similar lines.
In subsequent analyses the two Research Teacher cases were omitted due to representing too small of a subsample.
While the number of the total sample in that age group was 6228, many cases were omitted due to missing in the survey or non-response.
11Kentucky cases were omitted because in that agency, the IPE date is often coded as the closure date for those receiving services.
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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