By applying the randomization algorithm vs the applying the

The correct phrase is "by applying the randomization algorithm." The phrase "by applying the" is a grammatically incorrect fragment, while the first phrase is a complete and correct construction. It is important to include the article "the" before the noun "randomization algorithm" for the sentence to be grammatically accurate.

Last updated: March 17, 2024 • 626 views

This phrase is correct and commonly used in English.

"By applying the randomization algorithm "

This phrase is used to indicate the action of applying the randomization algorithm in a sentence. It is a complete and grammatically accurate construction.

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Jun 21, 2010 ... (Rand) obtained by applying the randomization algorithm detailed in Section 3.2 to the matrix. Z solving (5). We observe that around the true ...

This phrase is grammatically incorrect and not commonly used in English.

"the applying the "

This phrase is incorrect due to the redundant use of the article "the" before the verb "applying." To correct this, the article should be placed before the noun that follows, as in the first phrase.

Show examples from the web [+]

The Applying the Quality Matters Rubric (APPQMR) workshop is QM's flagship workshop on the QM Rubric and the process of using the QM Rubric to review ...
The Applying the QM Rubric (APPQMR) workshop is the prerequisite for the ... Review a SoftChalk lesson here from the Applying the Quality Matters workshop.
The Applying the Standards: STEM series emphasizes creativity and innovation in science, technology, engineering, and math. This is a series of six 64-page ...
The Applying the Standards: STEM series emphasizes creativity and innovation in science, technology, engineering, and math. This is a series of six 64-page ...

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By applying the randomization algorithm vs the applying the