by the results of applying vs by the results of applying the

Both phrases are not comparable as they are incomplete. The first phrase lacks a specific noun after 'applying,' while the second phrase includes 'the' before 'results,' which may not be necessary depending on the context.

Last updated: March 17, 2024 • 769 views

This phrase is incomplete and lacks a specific noun after 'applying.'

"by the results of applying "

This phrase needs to be completed with a specific noun after 'applying' to make sense in a sentence.

Show examples from the web [+]

This article presents a method for applying root cause analysis to problems of this class, followed by the results of applying the method to the sustainability ...
informed by the results of applying particular analytical research methods. (for example, textual or statistical). Whilst you should justify in the text which research ...
... that are more accurate than that made by either the background knowledge alone, or by the results of applying an induction algorithm on the training data.
This representation begins with “ < ”, followed by the results of applying elemToStr to each element of in ascending index order interleaved with “ , ”, and ends ...

This phrase is correct but may not always require 'the' before 'results' depending on the context.

"by the results of applying the "

This phrase is correct when 'the' is necessary before 'results' to specify a particular set of results obtained from applying something.

Show examples from the web [+]

This article presents a method for applying root cause analysis to problems of this class, followed by the results of applying the method to the sustainability ...
Apr 21, 2015 ... by the results of applying the method to the sustainability problem. The method is the System. Improvement Process. Process application led to ...
Oct 8, 2013 ... The study is then supported by the results of applying the methodology on 40 test images from the RIDER breast MRI dataset. The results of the ...
This is demonstrated by the results of applying the construction heuristic to the test instances provided by Dr. Frank Meisel, as shown in Table 3. Table 3.

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by the results of applying vs by the results of applying the