Sentence examples for in view of b from inspiring English sources

Therefore in view of (b), (1.10).

In view of (b), there exists a constant K ≥ 0 such that ∑ m = 0 ∞ | a m x m | ≤ K | ∑ m = 0 ∞ a m x m | (3.5).

In view of (b), there exists a constant K ≥ 0 such that ∑ m = 0 ∞ | a m x m | ≤ K | ∑ m = 0 ∞ a m x m | (11).

Adding the two inequalities above and the property of sublinearity of F along with (15), we obtain ∑ i = 1 k y i ∗ A i ( x ∗ ) − ∑ i = 1 k y i ∗ A i ( u ∗ ) − ∑ j = 1 m z j ∗ h j ( u ∗ ) > ( ∑ i = 1 k y i ∗ ρ i 1 + ∑ j = 1 m z j ∗ ρ j 2 ) d 2 ( x ∗, u ∗ ), which in view of (b) yields ∑ i = 1 k y i ∗ A i ( x ∗ ) > ∑ i = 1 k y i ∗ A i ( u ∗ ) + ∑ j = 1 m z j ∗ h j ( u ∗ ).

In view of B's agitated behaviour, the therapist considered using arousal regulation [ 73] to ameliorate B's symptoms.

In view of restrictions (b) and (c), we find from (2.8) that lim n → ∞ ∥ B x n − B p ∥ = 0. (2.9).

In view of condition (b), we see that (324).

In view of restriction (b), one finds that lim n → ∞ ∥ x n − J r n ( x n + e n + 1 ) ∥ = 0. (3.6).

We have χ ( t ) = ( u 0 ( t ) − C u 0 ( t − τ ) ) ″, t ∈ R, in view of a, b ∈ R being arbitrary, that is, u 0 ( t ) is a solution to system (1.1).

For a sequence { Λ n } in ( 0, ∞ ) with Λ n → ∞, the following occurs: For each n ∈ N, either there exists a point x n ∈ Ω such that T x n + C ( Λ n, x n ) + ε J x n = 0, in view of d B ( T + C ( Λ n, ⋅ ) + ε J, Ω, 0 ) ≠ 0, or there exists a point x n ∈ ∂ Ω such that T x n + C ( Λ n, x n ) + ε J x n = 0. Thus, we get a sequence { x n } in Ω ¯ such that T x n + C ( Λ n, x n ) + ε J x n = 0. (2.2).

Still, it cannot be excluded that long-term anti-IL-1 treatment could halt a progressive increase in M-protein concentration in view of the B cell activating property of IL-1β (the longest treatment duration of SchS patients on continuous anti-IL-1 treatment is currently 8 years).