How to translate this sentence? What does "for that matter" mean?
... this systems could also be used to identify flu trends faster than methods now used by the Centers for Disease Control and Prevention — or on Google, for that matter — because this system ...

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It is used to identify a simpler case, a more general case. Or just another case (for that matter).

"I don't like carrots. Or any vegetables for that matter."

Related to "by the way" or "actually"

"or on Google, for that matter" could possibly be rewritten "or even on Google." Although, the context is difficult to see with the limited text provided.

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那样的话...

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• FOR THAT MATTER (adverb)
  The adverb FOR THAT MATTER has 1 sense:

1. as far as that is concerned

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'for that matter' tells us that Google is a subject of concern, or a seperate story to talk about later.
This expression is often used as a derogatory 'slang' in America. It comes from the UK, and it most likely has a different meaning there.

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