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"in this subsection" is a perfectly acceptable phrase to use in written English.
It would typically be used to indicate that the writer is transitioning from one subtopic to another, usually within an article, essay or book. For example: "In this subsection, I will discuss the historical context of the novel."
Exact(60)
In this subsection, we suppose the following.
In this subsection, we follow [33].
In this subsection, we propose VBR.
In this subsection, we assume p = 2.
In this subsection, we shall solve (3.12).
In this subsection, we assume (D=0).
In this subsection, we prove general convergence theorems.
In this subsection, we try to control temporal derivatives.
In this subsection, we introduce the superposition (Nemytskii's) operator.
In this subsection, we have mathematically formulated the BC strategies.
In this subsection, the gas model is analytically described.
Related(20)
Write better and faster with AI suggestions while staying true to your unique style.
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