Sentence examples for and in view of the definition from inspiring English sources

This implies (3.16) by taking (nu= varepsilon/ beta_{2}) and in view of the definition of (G t)).

In the case q ( z ) = M z, M > 0 and in view of the Definition 2.1, the class of admissible functions Φ [ Ω, q ] denoted by Φ [ Ω, M ] is defined below.

In view of the definition of numerical sequence and by L'Hospital rule and fixed, we have (2.12).

In view of the definition of, there exist positive constants, and satisfying and (5.1).

In view of the definition of, from (3.32) we have.

In view of the definition of ΠF(T x0, from (3.10) we have p* = t.

For any, putting we prove that Indeed, in view of the definition of we have (216).

In view of the definition of G ( t, s ), we obtain.

In view of the definition of Π Ω ( x 0 ), from (3.27), we have p ∗ = w.

In view of the definition of Π G x 0, from (3.14) we have p* = q.

for all Also in view of the definition of the norm we have (3.16).