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The phrase "the cross section" is correct and usable in written English.
You might use it to refer to a particular type of analysis that considers different elements or parts of something that are connected together in some way. For example, you might say: "The cross section of the company showed that employees from different departments had difficulties communicating with each other."
Exact(27)
His narrative provided a personal subtext to the cross section of art history on display.
I'm constantly amazed at the cross section of the population enthralled by these programmes.
The chips would be sliced across and the cross section would be analyzed and photographed microscopically.
The cross section of a moment in time grew to several decades.
(b) View of the cross section model.
The cross section for heat conduction becomes higher.
Similar(32)
"We are at the cross-section between media and technology".
These deviations from the cross-section cause the most concern.
McKee takes a deep look at the cross-section of this brain and momentarily appears sad.
These passengers are quite unlike the cross-section of America much mocked in Airplane!
Trump supporters include the cross-section of America most affected by opioid abuse.
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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