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We need the following basic concepts and well-known results: Definition 1.1.
In [1], Mustafa and Sims introduced the following definitions and results: Definition 1.1 Let X be a nonempty set.
The performance of reverse vortex reactor increased about 43% of NF3 and 29% of SF6 abatements results definition by decomposition energy per liter more than conventional vortex reactor.
In this section, to make our exposition self contained, we recall some basic definitions, relevant notions and auxiliary results: Definition 1 [45].
The interactive web interface facilitates navigation through the results, definition of threshold parameters, and allows the export of the results for subsequent offline analysis.
In conducting this study, we relied on the Surveillance, Epidemiology and End Results definition of second primary breast cancer and did not initiate an independent review of the pathology or medical records before assigning case status.
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To compare and summarize results, definitions of terms were established for each of the categories.
In Section 2, some important auxiliary results, definitions and lemmas which will be needed in the sequel are introduced.
The analysis is excellent, but the resulting definition – though far better than Ecover's – is probably too broad and not particularly "operational".
As a result, Definition 1.2 does not include Definition 1.1.
The resulting definition of broadband as enabling users to generate, store, transform, and process their data is absurd.
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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