Reply to "where"

tara posted:

Hi

Can "where" be replaced with "that" or "which"?

"Instead of looking at the daily prices, let us instead consider the daily change in price, where the change on day i is the difference between the prices after day i-1 and after day i ."

From CLRS

Hi, Tara,

No, "where" cannot be replaced by "that" or "which." For one thing, in the nonrestrictive relative clause introduced by "where," there is no gap relating to a relative pronoun. The following is a complete sentence:

  • The change on day i is the difference between the prices after day i-1 and after day i.

"Where" is functioning as a relative adverb with an abstract locative meaning. I say "abstract" because "the daily change in price" is obviously not a physical location. Nevertheless, there is an abstract sense of location. Let's break it down:

(A) Instead of looking at the daily prices, let us instead consider the daily change in price.

(B) Where the daily change in price is concerned, the change on day i is the difference between the prices after day i-1 and after day i.

(A/B) Instead of looking at the daily prices, let us instead consider the daily change in price, where the change on day i is the difference between the prices after day i-1 and after day i.

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