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Use of 'in which'

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:

enter image description here

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

3 Answers

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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