Sentence examples for be applied to prove from inspiring English sources

Finally, we show that our result for LORA-BR can be applied to prove that an extension of the maximum weight independent set problem on bipartite graphs is polynomial time solvable.

On the other hand, we show that these new estimates can be applied to prove the existence and uniqueness of the weak solutions for two coupled models: Boussinesq system with partial viscosity (no dissipation for the temperature) and Fluid/Particle system, in two dimension and in bounded domains.

This theorem will be applied to prove our main results in the next section.

Now we give a proposition, which will be applied to prove Theorem 1.1.

The same arguments can be applied to prove (i) by taking μ(G ≡0.

Our results can be applied to prove new limit theorems for weakly dependent sequences.

These can be applied to proving uniqueness of the solution of the corresponding boundary initial value problem.

Finally, an exploratory and confirmatory factor analysis was applied to prove its structural soundness and unifactoriality.

Lyapunov stability theorem is applied to prove the stability of the dynamic system.

These bounds are applied to prove the equidistribution of mass conjecture for CM forms.

These results are applied to prove that any closed subgroup of G is a local Ditkin set.