The phrase "are regular enough to" is correct and usable in written English.
You can use it to describe a frequency or consistency that meets a certain standard or requirement.
Example: "The trains are regular enough to ensure that passengers can rely on them for timely arrivals."
Alternatives: "are consistent enough to" or "are frequent enough to".
Theorem 4.1 implies (C^{1,1}) regularity away from (Gamma ^1) in the case the coefficients (g_i) are regular enough to provide (C^{1,1}) solutions away from the free boundary, i.e. Theorem 1.2.
If the coefficients (g_i) are regular enough to provide (C^{1,1}) solutions up to the boundary this is encoded in Assumption C then we obtain full (C^{1,1}) regularity.
Lastly we point out that if the coefficients (g_i) are regular enough to provide (C^{1,1}) solutions at points where the gradient does not vanish, then we obtain full interior (C^{1,1}) regularity.
Both algorithms use Floyd Warshall method, have near optimal complexity in terms of the total number of operations, while their matrix-based structure is regular enough to allow for efficient parallel implementation on the GPUs.
In other words, whether the weak solution is regular enough to define the trace on the boundary is not so important.
The unique selling point for retailers is that, while some power shoppers might download those stores' apps, Shopkick offers a "shopping mall" style experience where several stores can get their products and brands in front of shoppers who may not be regular enough to use their own bespoke apps.
Even though the Huber cost function has a discontinuous second derivative, Li (1995) proved that the function is regular enough to converge using quasi-Newton methods.
If the changes are regular enough, bacteria can respond ahead of time.
In the far southwest of the shield, and especially in the northern areas, precipitation is sufficient to support a considerable vegetation and is regular enough for streams to flow seasonally.
The "molecular clock" is not strictly clock-like, however it is regular enough that substitutions do relate to time.
Regarding the regularity conditions in Definition 4.1, we note that (widetilde {F}) will be regular enough if and only if F is regular enough (because exp(X t)) is a sufficiently regular functional).
