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Discover LudwigThe phrase "the determinant" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in linear algebra, to refer to a specific value that can be computed from a square matrix. Example: "To find the area of the triangle formed by the three points, we can calculate the determinant of the matrix formed by their coordinates."
Dictionary
the determinant
noun
A determining factor; an element that determines the nature of something
Exact(60)
Economic loss, not need, should be the determinant of compensation.
In post-crisis Zimbabwe, it is now class that is the determinant.
Except cost isn't usually the determinant of legal and international obligations.
But they care about Europe as the determinant of other policies".
Rainfall, rather than temperature, is the determinant of season.
But that should not be the determinant of good design.
How to create and process new ideas will further displace physical capital as the determinant of economic growth.
In this, beliefs about civilisational backwardness and the determinant of religion are mixed up with notions of class struggle.
The slide into "values" as the determinant of foreign policy unequivocally allies the UK to the US.
Nothing wrong with that; it's the reality of the modern market, where sheer scale is the determinant.
where |.| denotes the determinant.
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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