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The phrase "analysis of the intersection" is correct and usable in written English.
It can be used in contexts where you are examining the overlap or commonalities between two or more subjects, concepts, or datasets.
Example: "The analysis of the intersection between social media usage and mental health outcomes reveals significant trends."
Alternatives: "examination of the overlap" or "study of the convergence".
Exact(9)
Peter J. Boyer's wide-ranging analysis of the intersection of religion and politics focusses on the alliance between some high-profile, ultra-conservative Catholics and "the Rove religious machine," and the apparent affinity these Catholics have for the Republican Party ("Party Faithful," September 8th).
High on the discussion list is the analysis of the intersection of entertainment, advertising and technology.
Feminists using an analysis of the intersection between race and sex (so-called intersectionality theory) discern essentialist tendencies that gloss the complexities of identity in the work of both radical and liberal feminists (Harris 1990).
An analysis of the intersection between stages allowed us to characterize the developmental switches and to identify significant expression changes.
The heterogeneity in the temperature this occurs at is reflected in our original analysis of the intersection temperatures.
Now for the first time a new study offers a quantitative analysis of the intersection between neighborhood "walkability"—or how conducive the neighborhood is to walking and exposure to air pollutants [ EHP 117:1752–1759; Marshall et al.].
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Podesta, former chairman of the 2016 Hillary Clinton campaign, will provide commentary and analysis on the intersection of politics and policy, the Trump administration and the future of the Democratic Party.
Examining the roles of Buddhist monks, civil society groups, political coalitions and more, the book provides the first extended study of the legal regulation of religion in Sri Lanka as well as the first book-length analysis of the intersections of Buddhism and contemporary constitutional law.
For example, considering race and gender as single axes of identity without analysis of the intersections of those groups can lead to the erasure of some identities, such as for women of color (Bowleg 2008; Crenshaw 1991).
Through a wide overview of the evolution of both digital scholarship and faculty development, followed by a conceptual analysis of the intersections between fields, the paper attempts to show the extent on which the situation in one area (digital scholarship) might encompass criticalities for the other (faculty development) in terms of research and practices.
Tope Fadiran, who tweets under @graceishuman, does a lot of really good analysis on the intersections between race, feminism and Christianity.
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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