English Language & Usage Asked by user397112 on September 7, 2020
Is the use of ‘in which’ correct in this context?
…and Fc is the flux vector:
where U is the velocity vector, ρ the density, p the pressure, E the total energy, and Vc=V.n the contravariant velocity, in which
n is the unit normal vector to the face.
Thanks for your attention. I’m looking forward to your reply
I will not say it's perfectly correct. "In which" here refers to n ,for some extent it is understandable. But ,if you use ,where "n" is unit Normal vector to the face , would be correct.
Answered by A Mohan Rounak on September 7, 2020
This is an answer in which I invite you to consider the question and a parallel non-technical example.
The full equation is irrelevant to the question and the answer. The question relates to an expression, U·n̂ , that contains symbols. Within the expression, each symbol has a meaning. “In which” refers the reader to the expression and the symbols that are within.
For the non-technical reader, consider the parallel example of the so-called Chinese curse "May you live in interesting times" in which “interesting" is a euphemism for “difficult”.
In conclusion, “In which” is clear, unambiguous and correct.
Answered by Anton on September 7, 2020
in which n is the unit normal vector to the face.
In = within.
Which -> the referent of which is U·n̂
Answered by Greybeard on September 7, 2020
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