The TV jester's big-screen outing is appropriately small scale, with the expected puppets, props and silliness, all framed by a road trip to Blackpool to cure his critically ill hamster.
The energy separation between the first excited and fundamental [B] QW sublevel is appropriately small.
However, it is difficult to verify the condition whether the mesh size H is appropriately small or not.
More generally, any domain in a locally conformally flat manifold is admissible, provided that the domain is appropriately small.
Theorem 2.1 (1) If q = 1, then the solution of problem (1.1) vanishes in infinite time for any nonnegative initial data provided that λ > 0 is appropriately small.
In the proof of Theorems 4.2 4.3, we can deduce that Condition 4.1 holds when the mesh size H is appropriately small.
Theorem 2.2 (1) If q = p < 1, then the solution of problem (1.1) vanishes in finite time for any nonnegative initial data provided that λ > 0 is appropriately small.
Both criteria show that if φ(1 + σ) is appropriately small, where φ is the Thiele modulus and σ is the adsorption parameter, there is only one steady state.
6 present a satisfying practical performance for our algorithms, which shows that it is unnecessary for the mesh size H to be appropriately small, even though the theory is not complete.
