Sentence examples for finite in the case from inspiring English sources

Lemma 3.4 For all x, y ∈ D ( ( H 0 J ∗ ) or D ( ( H a, 0 J ∗ ), lim t → a − 1 ( x, y ) ( t ) exists and is finite in the case of a = − ∞, and for all x, y ∈ D ( ( H 0 J ∗ ) or D ( ( H b, 0 J ∗ ), lim t → b ( x, y ) ( t ) exists and is finite in the case of b = + ∞.

It turns out that N might be finite even in the case when the potential decays slower.

Note that the right hand sides of both estimates can be finite only in the case where V is an exponentially decaying potential.

We demonstrate that the proposed ECG maintains the response properties of the conventional ECG, including the convergence to the nearest feasible command in finite time in the case of constant reference commands.

This implies that one of the main observations of our paper is that structural symmetry on the nanojunction is not a guarantee for finite transmission in the case of the multivalence diatomic wire nanojunctions.

While the extra production cost for accelerating compensation approaches infinity as reliable information is perceived later towards the time limit, it only approaches a finite value in the case of decelerating compensation.

They comprise the application of the Time-domain Spectral Finite Element Method in the case of analysis of finite and semi-infinite computational domains, damage modelling in the case of analysis of drill-hole influence, as well as the Bloch reduction in the case of analysis of periodic computational domains.

Fossil fuels are seen as polluting, archaic, finite and particularly in the case of oil are associated with global conflicts.

Then the solution u blow up in finite time (T^{ast}) in the case of (38).

Moreover, Finite Element analysis in the case of large and complex assemblies implies tedious meshing steps.

Another one is that this theory is applicable for finite element method in the case of 1 < n < ∞ (see (2.12) and (2.18)).