0 past simple and past participle of invalidate --
1 to officially stop a document, ticket, law, etc. being legally or officially acceptable --
Moreover, theoretical inferences are not merely weakened or qualified but invalidated by violations of the homogeneity assumption.
The dynamics of these space-time interactions are part of more global plant dynamics, so the model is not invalidated.
To determine when a delta is no longer needed, the system keeps a weak pointer to it and waits for that pointer to be invalidated.
Lower-level actors may continue to abide by officially invalidated norms, that is, they may treat those norms as merely nonvalidated.
Therefore, log entries use weak pointers and a new object is created on replay if the corresponding entry pointer has been invalidated.
This condition is invalidated when 1 - c is very small, and the fluid lies in a thin film inside the cylindrical wall.
Their overloading is closer to an assertion about their intended use, with a type error signaled if the assertion is invalidated.
Moreover, the simulation studies of models 5-7 indicate that the ratio test is not invalidated by lethals.
