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relative-clauseswhere

I want to have a sentence like this:

In addition, to efficiently calculate f(t) after adding an item x at position p, where there are q relevant items before, we can use Eq. 3.

Is this grammatically correct? What better phrase can I use instead of "where there are q relevant items before"

Best Answer

Where there are can be with.

In addition, to efficiently calculate f(t) after adding an item x at position p, with q relevant items before, we can use Eq. 3.

However, q relevant items before is a bit hard to parse, at least in this context. Does this work?

In addition, to efficiently calculate f(t) after adding an item x at position p, with q relevant items in positions prior to p, we can use Eq. 3.

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