1

I could not figure out what the meaning of the sentence?

In this case, the analysis applies unchanged to the worst-case ratios of the lengths of shortest grid paths and shortest paths.

what is the meaning of "applies unchanged to"?

  • Firstly, do you understand the basic definitions of "apply" and "unchanged"? If you have looked those up, can you re-phrase the sentence in a way that makes sense to you? – stangdon Dec 29 '15 at 18:01
  • @stangdon Is this rephrase correct? "In this time, the anaysis carry out identically the worst-case ratios of the lenghts of shortest grid paths and shortest paths." – verdery Dec 29 '15 at 18:34
  • The more I keep reading this, the more I feel the word "as" is needed between unchanged and to. That is probably my problem, though :) – lurker Dec 29 '15 at 22:23
  • @lurker - No, "as" is unnecessary and would make it confusing. It's just a split infinitive: the analysis applies to the ratios. How does it apply to them? it applies unchanged to them. You wouldn't say "the analysis applies as to the ratios." – stangdon Dec 30 '15 at 15:49
4

Here's a rewrite that should clarify the meaning:

In this case, the same analysis could be applied to the worst-case ratios of the lengths of shortest grid paths and shortest paths.

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