Sentence examples similar to proves inclusion from inspiring English sources

In the fourth section of this paper, we introduce the concept of λ-statistical boundedness and prove inclusion relations between S ( b ), S λ ( b ) and S μ ( b ) under different conditions.

Therefore, q j ≺ h and by (35) we have f ∈ W μ ( ψ ∗ Φ, h ), which proves the inclusion (33).

Also we shall prove some inclusion theorems.

Also, we prove some inclusion theorems.

We also study some topological properties and prove some inclusion relations between these spaces.

In order to prove the inclusion (uinLambda), it remains to establish that ((u,psi inXi_{Delta}).

Next, we prove the inclusion theorem involving the class K a, c λ.

Further, Crone and Taylor [15] proved that inclusion of delays into the density dependence can destabilize the dynamics that may be stabilized by the nondelayed density dependence.

Some accessory cellular protein studies were used to prove the inclusion of the former and exclusion of the latter mechanism [21].

The neutral salt spray test results of the thermally stressed samples prove that inclusion of niobium nanoparticles within the silane matrix considerably improves the corrosion resistance performance.

First, we prove the inclusion cone ( cl A ) ⊆ cl ( cone A ). Let u ∈ cone ( cl A ), then there exist a ∈ cl A, t > 0 such that u = t a.