The wavenumber ky = ω/cR with cR being the shear-wave velocity of the bedrock.


The wavenumber ky = ω/cR with cR to be the shear-wave velocity of the bedrock.

I am wondering which expression is correct or more preferred by natives.

  • This is really a question about jargon.
    – Hot Licks
    Sep 23, 2020 at 2:42
  • I’d go for: where cR is the shear-wave velocity...
    – Jim
    Sep 23, 2020 at 2:53
  • Very occasionally you might see "...where A is to be something** but I think you'd only get to be as part of a list as in "...where A is to be something and B to be something else". Even then the number of occurrences will be vanishingly small. The normal word is 'being' or, as @Jim says "is".
    – BoldBen
    Sep 23, 2020 at 6:47
  • Probably this question would be more appropriate in English learners's SE
    – Joce
    Sep 29, 2020 at 8:31

1 Answer 1


Using 'to be' implies something expected rather than a current fact, implying 'due to be`:

We expect to have a lot of people come up this weekend with the weather to be quite nice

In mathematics and other sciences, you would either use the present tense as @Jim suggests, 'where cR is...' or write 'The wavenumber ky = = ω/(cR), cR being...'

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