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The proof of the theorem below uses the result from the four lemmas that follow.
end{aligned} (35) The second inequality uses the result from Lemma 5.
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The RSPB uses the results from the survey, published in late March, to create an annual "snapshot" of bird numbers across the UK.
Each step uses the results from the previous step, and so new tentative sets are generated.
One advantage of this approach is that it uses the results from different GeneChip models.
We use the result from [34].
For the bound, we used the result from (23).
Using the result from [8, 19], the ZF receive beamforming for multi-way relaying is given by (23).
Using the result from [8], the MSNR receive beamforming for multi-way relaying is given by (33).
Additionally, if one of the forms is not completely annotated, we expand the annotation boundaries using the result from the abbreviation extraction tool.
In order to compare the measurement result RMS error, we use the result from 9-step shifted fringe patterns as reference.
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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