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if the above equation is not satisfied vs if the above equation is not satisfied for

if the above equation is not satisfied vs if the above equation is not satisfied for which is much better to use in a sentence. Which is more popular in English form?

Looking on the internet deeply has found these results:

if the above equation is not satisfied is the most popular phrase on the web.

if the above equation is not satisfied for

12 results on the web

if the above equation is not satisfied

153 results on the web

More popular!

Some examples and use cases from the internet:

Some examples and use cases from the internet:

  • If the above equation is not satisfied for any bidder, the auctioneers continue checking the next lower price pl−1. Conversely, if there exists at least one bidder.
  • If the above equation is not satisfied for any i, the oracle chooses a new encoding s ∈U S\E and appends it to E. Otherwise, for the first i the equation is satisfied, ...
  • Of course, if the above equation is not satisfied, a further try must be done, and the similar analysis can be used to identify the optimal solution. For the polygon in ...
  • Nov 17, 2014 ... If the above equation is not satisfied, then conservation of helicity requires that the corresponding amplitude vanish. Maximally violating helicity ...
  • If the above equation is not satisfied for any bidder, the auctioneers continue checking the next lower price pl−1. Conversely, if there exists at least one bidder.
  • If the above equation is not satisfied for any i, the oracle chooses a new encoding s ∈U S\E and appends it to E. Otherwise, for the first i the equation is satisfied, ...

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