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

Both phrases are correct, but they are used in slightly different contexts. 'If the above equation is not satisfied' is more concise and can be used when the context is clear that the equation is the subject of satisfaction. 'If the above equation is not satisfied for' is used when specifying the condition or criteria for satisfaction.

Last updated: March 17, 2024

if the above equation is not satisfied

This phrase is correct and commonly used in English.

This phrase is used when it is clear from the context that the equation is the subject of satisfaction.

Show examples from the web [+]

Nov 17, 2014 ... If the above equation is not satisfied, then conservation of helicity requires that the corresponding amplitude vanish. Maximally violating helicity ...
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 ...
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, ...

Alternatives:

if the above equation is not met
if the above equation is not fulfilled

if the above equation is not satisfied for

This phrase is correct and commonly used in English.

This phrase is used when specifying the condition or criteria for satisfaction.

Show examples from the web [+]

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, ...

Alternatives:

if the above equation is not satisfied according to
if the above equation is not satisfied with respect to

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