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The question is simple, should I write

"In this section..." or "In this Section"

"In this chapter..." or "In this Chapter"

?

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    Capitalization when referring to a specific section ("In Section 1.2, we demonstrate") should not imply capitalization when used as a noun ("In this section, we demonstrate"). These versions follow the style often used in technical editing. Check the style guide of the journal of interest for specific instructions. Oct 15, 2017 at 18:31
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    Welcome to EL&U. There is no single right or wrong answer; such things are a matter of style. Adhere to the discipline of your editor, publication, or organization, or in the absence of a house style, adopt a suitable style manual and be consistent in its application. Also see What are the capitalization rules for in-document references in scientific papers?, Capitalization of “Theorem 1” in mathematics papers, and the related questions linked therefrom.
    – choster
    Oct 15, 2017 at 19:30

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